0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.13/0.33 % Computer : n010.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 03:18:35 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.45 openjdk version "1.8.0_171" 0.19/0.45 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.19/0.45 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.19/0.45 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.59/0.64 start to proof: theBenchmark 1.02/1.10 % Version : CSE_E---1.4 1.02/1.10 % Problem : theBenchmark.p 1.02/1.10 % Proof found 1.02/1.10 % SZS status Theorem for theBenchmark.p 1.02/1.10 % SZS output start Proof 1.02/1.10 fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004, hypothesis, ![X25, X26]:is_bool(hAPP_f1760790145l_bool(X25,X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004)). 1.02/1.10 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__, axiom, ![X21, X22, X27]:hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(X21),X22),X27)=hAPP_bool_bool(X21,hAPP_f1760790145l_bool(X22,X27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__)). 1.02/1.10 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____ddp, axiom, ![X21, X22]:(is_bool(X21)=>X21=hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X21),X22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____ddp)). 1.02/1.10 fof(fact_277_Collect__disj__eq, axiom, ![X5, X6]:hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X5)),X6))=hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,X5)),hAPP_f921536533e_bool(collec727977250_state,X6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_277_Collect__disj__eq)). 1.02/1.10 fof(fact_177_Collect__def, axiom, ![X5]:hAPP_f921536533e_bool(collec727977250_state,X5)=X5, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_177_Collect__def)). 1.02/1.10 fof(gsy_c_fTrue, axiom, is_bool(fTrue), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gsy_c_fTrue)). 1.02/1.10 fof(fact_294_Un__def, axiom, ![X1, X2]:hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)=hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_294_Un__def)). 1.02/1.10 fof(help_fNot_1_1_U, axiom, ![X21]:(~(hBOOL(hAPP_bool_bool(fNot,X21)))|~(hBOOL(X21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_fNot_1_1_U)). 1.02/1.10 fof(help_fFalse_1_1_T, axiom, ![X21]:(is_bool(X21)=>(X21=fFalse|X21=fTrue)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_fFalse_1_1_T)). 1.02/1.10 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__, axiom, ![X21, X22]:(X21=hAPP_H513860823e_bool(cOMBK_1079618832_state(X21),X22)<=is_bool(X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__)). 1.02/1.11 fof(fact_295_Un__absorb, axiom, ![X1]:X1=hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_295_Un__absorb)). 1.02/1.11 fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___023, axiom, ![X21, X22, X27]:hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,X21),X22),X27)=hAPP_f1760790145l_bool(hAPP_H248360617l_bool(X21,X27),X22), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___023)). 1.02/1.11 fof(help_fNot_2_1_U, axiom, ![X21]:(hBOOL(hAPP_bool_bool(fNot,X21))|hBOOL(X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_fNot_2_1_U)). 1.02/1.11 fof(fact_224_subsetI, axiom, ![X2, X1]:(hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))<=![X10]:(hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X10),X1))=>hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X10),X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_224_subsetI)). 1.02/1.11 fof(help_fFalse_1_1_U, axiom, ~(hBOOL(fFalse)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_fFalse_1_1_U)). 1.02/1.11 fof(fact_526_predicate1I, axiom, ![X6, X5]:(![X10]:(hBOOL(hAPP_H513860823e_bool(X6,X10))<=hBOOL(hAPP_H513860823e_bool(X5,X10)))=>hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X5),X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_526_predicate1I)). 1.02/1.11 fof(fact_357_order__eq__iff, axiom, ![X17, X23]:(X23=X17<=>(hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X17))&hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X23)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_357_order__eq__iff)). 1.02/1.11 fof(gsy_c_Hoare__Mirabelle__ddpglwnxwg_Ostate__not__singleton, hypothesis, is_bool(hoare_298929751gleton), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gsy_c_Hoare__Mirabelle__ddpglwnxwg_Ostate__not__singleton)). 1.02/1.11 fof(conj_0, hypothesis, hBOOL(hoare_298929751gleton), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 1.02/1.11 fof(conj_7, conjecture, hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_7)). 1.02/1.11 fof(fact_0_empty, axiom, ![X7]:hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X7),bot_bo1055319631e_bool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_empty)). 1.02/1.11 fof(fact_4_cut, axiom, ![X7, X43, X34]:(hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X43),X34))=>(hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X7),X43))=>hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X7),X34)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_4_cut)). 1.02/1.11 fof(fact_53_MGF, axiom, ![X15]:((hBOOL(wT_bodies)=>(hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool)))<=hBOOL(hAPP_com_bool(wt,X15))))<=hBOOL(hoare_298929751gleton)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_53_MGF)). 1.02/1.11 fof(fact_1_asm, axiom, ![X34, X7]:(hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X34),X7))=>hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X7),X34))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_1_asm)). 1.02/1.11 fof(fact_366_bot__least, axiom, ![X16]:hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_366_bot__least)). 1.02/1.11 fof(gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool, axiom, ![X25, X26]:is_bool(hAPP_com_bool(X25,X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool)). 1.02/1.11 fof(conj_1, hypothesis, hBOOL(wT_bodies), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 1.02/1.11 fof(fact_215_WT__bodiesD, axiom, ![X96, X97]:(hBOOL(wT_bodies)=>(hAPP_p799580910on_com(body,X96)=some_com(X97)=>hBOOL(hAPP_com_bool(wt,X97)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_215_WT__bodiesD)). 1.02/1.11 fof(conj_5, hypothesis, hAPP_p799580910on_com(body,pn)=some_com(y), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_5)). 1.02/1.11 fof(c_0_29, hypothesis, ![X4585, X4586]:is_bool(hAPP_f1760790145l_bool(X4585,X4586)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004])). 1.02/1.11 fof(c_0_30, plain, ![X3422, X3423, X3424]:hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(X3422),X3423),X3424)=hAPP_bool_bool(X3422,hAPP_f1760790145l_bool(X3423,X3424)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__])). 1.02/1.11 fof(c_0_31, plain, ![X3224, X3225]:(~is_bool(X3224)|X3224=hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X3224),X3225)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____ddp])])). 1.02/1.11 fof(c_0_32, plain, ![X3515, X3516]:hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X3515)),X3516))=hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,X3515)),hAPP_f921536533e_bool(collec727977250_state,X3516)), inference(variable_rename,[status(thm)],[fact_277_Collect__disj__eq])). 1.02/1.11 fof(c_0_33, plain, ![X2480]:hAPP_f921536533e_bool(collec727977250_state,X2480)=X2480, inference(variable_rename,[status(thm)],[fact_177_Collect__def])). 1.02/1.11 cnf(c_0_34, hypothesis, (is_bool(hAPP_f1760790145l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_29])). 1.02/1.11 cnf(c_0_35, plain, (hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(X1),X2),X3)=hAPP_bool_bool(X1,hAPP_f1760790145l_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_30])). 1.02/1.11 cnf(c_0_36, plain, (X1=hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X1),X2)|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_31])). 1.02/1.11 cnf(c_0_37, plain, (is_bool(fTrue)), inference(split_conjunct,[status(thm)],[gsy_c_fTrue])). 1.02/1.11 fof(c_0_38, plain, ![X3198, X3199]:hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3198),X3199)=hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3198))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3199))), inference(variable_rename,[status(thm)],[fact_294_Un__def])). 1.02/1.11 cnf(c_0_39, plain, (hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2))=hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2))), inference(split_conjunct,[status(thm)],[c_0_32])). 1.02/1.11 cnf(c_0_40, plain, (hAPP_f921536533e_bool(collec727977250_state,X1)=X1), inference(split_conjunct,[status(thm)],[c_0_33])). 1.02/1.11 fof(c_0_41, plain, ![X21]:(~hBOOL(hAPP_bool_bool(fNot,X21))|~hBOOL(X21)), inference(fof_simplification,[status(thm)],[help_fNot_1_1_U])). 1.02/1.11 fof(c_0_42, plain, ![X4207]:(~is_bool(X4207)|(X4207=fFalse|X4207=fTrue)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])])). 1.02/1.11 cnf(c_0_43, hypothesis, (is_bool(hAPP_bool_bool(X1,hAPP_f1760790145l_bool(X2,X3)))), inference(spm,[status(thm)],[c_0_34, c_0_35])). 1.02/1.11 cnf(c_0_44, plain, (hAPP_f1760790145l_bool(cOMBK_564432736e_bool(fTrue),X1)=fTrue), inference(spm,[status(thm)],[c_0_36, c_0_37])). 1.02/1.11 fof(c_0_45, plain, ![X21, X22]:(is_bool(X21)=>X21=hAPP_H513860823e_bool(cOMBK_1079618832_state(X21),X22)), inference(fof_simplification,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__])). 1.02/1.11 fof(c_0_46, plain, ![X2538]:X2538=hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2538),X2538), inference(variable_rename,[status(thm)],[fact_295_Un__absorb])). 1.02/1.11 cnf(c_0_47, plain, (hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)=hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)))), inference(split_conjunct,[status(thm)],[c_0_38])). 1.02/1.11 cnf(c_0_48, plain, (hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)=hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40]), c_0_40]), c_0_40])). 1.02/1.11 fof(c_0_49, plain, ![X3366]:(~hBOOL(hAPP_bool_bool(fNot,X3366))|~hBOOL(X3366)), inference(variable_rename,[status(thm)],[c_0_41])). 1.02/1.11 cnf(c_0_50, plain, (X1=fFalse|X1=fTrue|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_42])). 1.02/1.11 cnf(c_0_51, hypothesis, (is_bool(hAPP_bool_bool(X1,fTrue))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 1.02/1.11 fof(c_0_52, plain, ![X3289, X3290]:(~is_bool(X3289)|X3289=hAPP_H513860823e_bool(cOMBK_1079618832_state(X3289),X3290)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])). 1.02/1.11 fof(c_0_53, plain, ![X3017, X3018, X3019]:hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,X3017),X3018),X3019)=hAPP_f1760790145l_bool(hAPP_H248360617l_bool(X3017,X3019),X3018), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___023])). 1.02/1.11 cnf(c_0_54, plain, (X1=hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1)), inference(split_conjunct,[status(thm)],[c_0_46])). 1.02/1.11 cnf(c_0_55, plain, (hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))=hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48]), c_0_40])). 1.02/1.11 fof(c_0_56, plain, ![X3237]:(hBOOL(hAPP_bool_bool(fNot,X3237))|hBOOL(X3237)), inference(variable_rename,[status(thm)],[help_fNot_2_1_U])). 1.02/1.11 cnf(c_0_57, plain, (~hBOOL(hAPP_bool_bool(fNot,X1))|~hBOOL(X1)), inference(split_conjunct,[status(thm)],[c_0_49])). 1.02/1.11 cnf(c_0_58, hypothesis, (hAPP_bool_bool(X1,fTrue)=fTrue|hAPP_bool_bool(X1,fTrue)=fFalse), inference(spm,[status(thm)],[c_0_50, c_0_51])). 1.02/1.11 fof(c_0_59, plain, ![X2, X1]:(![X10]:(hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X10),X1))=>hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X10),X2)))=>hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))), inference(fof_simplification,[status(thm)],[fact_224_subsetI])). 1.02/1.11 cnf(c_0_60, plain, (X1=hAPP_H513860823e_bool(cOMBK_1079618832_state(X1),X2)|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_52])). 1.02/1.11 cnf(c_0_61, plain, (hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,X1),X2),X3)=hAPP_f1760790145l_bool(hAPP_H248360617l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_53])). 1.02/1.11 cnf(c_0_62, plain, (hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_54])). 1.02/1.11 cnf(c_0_63, plain, (hBOOL(hAPP_bool_bool(fNot,X1))|hBOOL(X1)), inference(split_conjunct,[status(thm)],[c_0_56])). 1.02/1.11 cnf(c_0_64, hypothesis, (hAPP_bool_bool(fNot,fTrue)=fFalse|~hBOOL(fTrue)), inference(spm,[status(thm)],[c_0_57, c_0_58])). 1.02/1.11 fof(c_0_65, plain, ~hBOOL(fFalse), inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U])). 1.02/1.11 fof(c_0_66, plain, ![X3499, X3500]:((hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk83_2(X3499,X3500)),X3500))|hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3500),X3499)))&(~hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk83_2(X3499,X3500)),X3499))|hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3500),X3499)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])])). 1.02/1.11 cnf(c_0_67, plain, (hAPP_H513860823e_bool(cOMBK_1079618832_state(fTrue),X1)=fTrue), inference(spm,[status(thm)],[c_0_60, c_0_37])). 1.02/1.11 cnf(c_0_68, plain, (hAPP_H513860823e_bool(X1,X2)=hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)), inference(spm,[status(thm)],[c_0_61, c_0_62])). 1.02/1.11 cnf(c_0_69, hypothesis, (hAPP_bool_bool(fNot,fTrue)=fFalse), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_58]), c_0_64])). 1.02/1.11 cnf(c_0_70, plain, (~hBOOL(fFalse)), inference(split_conjunct,[status(thm)],[c_0_65])). 1.02/1.11 fof(c_0_71, plain, ![X6, X5]:(![X10]:(hBOOL(hAPP_H513860823e_bool(X5,X10))=>hBOOL(hAPP_H513860823e_bool(X6,X10)))=>hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X5),X6))), inference(fof_simplification,[status(thm)],[fact_526_predicate1I])). 1.02/1.11 fof(c_0_72, plain, ![X2776, X2777]:(((hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2777),X2776))|X2777!=X2776)&(hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2776),X2777))|X2777!=X2776))&(~hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2777),X2776))|~hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2776),X2777))|X2777=X2776)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_357_order__eq__iff])])])). 1.02/1.11 cnf(c_0_73, plain, (hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))|~hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk83_2(X1,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_66])). 1.02/1.11 cnf(c_0_74, plain, (hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),cOMBK_1079618832_state(fTrue))=fTrue), inference(rw,[status(thm)],[c_0_67, c_0_68])). 1.02/1.11 cnf(c_0_75, hypothesis, (hBOOL(fTrue)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_69]), c_0_70])). 1.02/1.11 fof(c_0_76, plain, ![X2346, X2347]:((hBOOL(hAPP_H513860823e_bool(X2347,esk2_2(X2346,X2347)))|hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2347),X2346)))&(~hBOOL(hAPP_H513860823e_bool(X2346,esk2_2(X2346,X2347)))|hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2347),X2346)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])])). 1.02/1.11 cnf(c_0_77, hypothesis, (is_bool(hoare_298929751gleton)), inference(split_conjunct,[status(thm)],[gsy_c_Hoare__Mirabelle__ddpglwnxwg_Ostate__not__singleton])). 1.02/1.11 cnf(c_0_78, plain, (X1=X2|~hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))|~hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_72])). 1.02/1.11 cnf(c_0_79, plain, (hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),cOMBK_1079618832_state(fTrue)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_75])])). 1.02/1.11 cnf(c_0_80, plain, (hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))|~hBOOL(hAPP_H513860823e_bool(X1,esk2_2(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_76])). 1.02/1.11 cnf(c_0_81, hypothesis, (hAPP_H513860823e_bool(cOMBK_1079618832_state(hoare_298929751gleton),X1)=hoare_298929751gleton), inference(spm,[status(thm)],[c_0_60, c_0_77])). 1.02/1.11 cnf(c_0_82, hypothesis, (hBOOL(hoare_298929751gleton)), inference(split_conjunct,[status(thm)],[conj_0])). 1.02/1.11 cnf(c_0_83, plain, (cOMBK_1079618832_state(fTrue)=X1|~hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,cOMBK_1079618832_state(fTrue)),X1))), inference(spm,[status(thm)],[c_0_78, c_0_79])). 1.02/1.11 cnf(c_0_84, hypothesis, (hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),cOMBK_1079618832_state(hoare_298929751gleton)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_82])])). 1.02/1.11 fof(c_0_85, negated_conjecture, ~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])])). 1.02/1.11 fof(c_0_86, plain, ![X3528]:hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3528),bot_bo1055319631e_bool)), inference(variable_rename,[status(thm)],[fact_0_empty])). 1.02/1.11 fof(c_0_87, plain, ![X2628, X2629, X2630]:(~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2629),X2630))|(~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2628),X2629))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2628),X2630)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])). 1.02/1.11 cnf(c_0_88, hypothesis, (cOMBK_1079618832_state(fTrue)=cOMBK_1079618832_state(hoare_298929751gleton)), inference(spm,[status(thm)],[c_0_83, c_0_84])). 1.02/1.11 cnf(c_0_89, hypothesis, (hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),cOMBK_1079618832_state(hoare_298929751gleton))=hoare_298929751gleton), inference(rw,[status(thm)],[c_0_81, c_0_68])). 1.02/1.11 cnf(c_0_90, negated_conjecture, (~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)))), inference(split_conjunct,[status(thm)],[c_0_85])). 1.02/1.11 cnf(c_0_91, hypothesis, (hAPP_f1760790145l_bool(X1,X2)=fTrue|hAPP_f1760790145l_bool(X1,X2)=fFalse), inference(spm,[status(thm)],[c_0_50, c_0_34])). 1.02/1.11 cnf(c_0_92, plain, (hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool))), inference(split_conjunct,[status(thm)],[c_0_86])). 1.02/1.11 fof(c_0_93, plain, ![X15]:(hBOOL(hoare_298929751gleton)=>(hBOOL(wT_bodies)=>(hBOOL(hAPP_com_bool(wt,X15))=>hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool)))))), inference(fof_simplification,[status(thm)],[fact_53_MGF])). 1.02/1.11 cnf(c_0_94, plain, (hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2))|~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))|~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X1))), inference(split_conjunct,[status(thm)],[c_0_87])). 1.02/1.11 cnf(c_0_95, plain, (fTrue=hoare_298929751gleton), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_88]), c_0_89])). 1.02/1.11 fof(c_0_96, plain, ![X3747, X3748]:(~hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3747),X3748))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3748),X3747))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_asm])])). 1.02/1.11 cnf(c_0_97, negated_conjecture, (hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))=fFalse|~hBOOL(fTrue)), inference(spm,[status(thm)],[c_0_90, c_0_91])). 1.02/1.11 cnf(c_0_98, hypothesis, (hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool)=fFalse|hBOOL(fTrue)), inference(spm,[status(thm)],[c_0_92, c_0_91])). 1.02/1.11 fof(c_0_99, plain, ![X3332]:hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X3332)), inference(variable_rename,[status(thm)],[fact_366_bot__least])). 1.02/1.11 fof(c_0_100, plain, ![X2855]:(~hBOOL(hoare_298929751gleton)|(~hBOOL(wT_bodies)|(~hBOOL(hAPP_com_bool(wt,X2855))|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2855)),bot_bo1055319631e_bool)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])). 1.02/1.11 cnf(c_0_101, plain, (hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))|~hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X2))), inference(spm,[status(thm)],[c_0_94, c_0_92])). 1.02/1.11 cnf(c_0_102, hypothesis, (hAPP_f1760790145l_bool(X1,X2)=fFalse|hAPP_f1760790145l_bool(X1,X2)=hoare_298929751gleton), inference(rw,[status(thm)],[c_0_91, c_0_95])). 1.02/1.11 cnf(c_0_103, plain, (hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X1))|~hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_96])). 1.02/1.11 cnf(c_0_104, negated_conjecture, (hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))=fFalse|hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool)=fFalse), inference(spm,[status(thm)],[c_0_97, c_0_98])). 1.02/1.11 cnf(c_0_105, plain, (hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1))), inference(split_conjunct,[status(thm)],[c_0_99])). 1.02/1.11 fof(c_0_106, plain, ![X4617, X4618]:is_bool(hAPP_com_bool(X4617,X4618)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool])). 1.02/1.11 cnf(c_0_107, plain, (hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))|~hBOOL(hoare_298929751gleton)|~hBOOL(wT_bodies)|~hBOOL(hAPP_com_bool(wt,X1))), inference(split_conjunct,[status(thm)],[c_0_100])). 1.02/1.11 cnf(c_0_108, hypothesis, (hBOOL(wT_bodies)), inference(split_conjunct,[status(thm)],[conj_1])). 1.02/1.11 cnf(c_0_109, hypothesis, (hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X1)=fFalse|hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_82])])). 1.02/1.11 cnf(c_0_110, negated_conjecture, (hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))=fFalse), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_105])]), c_0_70])). 1.02/1.11 cnf(c_0_111, plain, (is_bool(hAPP_com_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_106])). 1.02/1.11 fof(c_0_112, plain, ![X4463, X4464]:(~hBOOL(wT_bodies)|(hAPP_p799580910on_com(body,X4463)!=some_com(X4464)|hBOOL(hAPP_com_bool(wt,X4464)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_WT__bodiesD])])). 1.02/1.11 cnf(c_0_113, plain, (hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))|~hBOOL(hAPP_com_bool(wt,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_82]), c_0_108])])). 1.02/1.11 cnf(c_0_114, negated_conjecture, (hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))=fFalse), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_70])). 1.02/1.11 cnf(c_0_115, plain, (hAPP_com_bool(X1,X2)=fTrue|hAPP_com_bool(X1,X2)=fFalse), inference(spm,[status(thm)],[c_0_50, c_0_111])). 1.02/1.11 cnf(c_0_116, plain, (hBOOL(hAPP_com_bool(wt,X2))|~hBOOL(wT_bodies)|hAPP_p799580910on_com(body,X1)!=some_com(X2)), inference(split_conjunct,[status(thm)],[c_0_112])). 1.02/1.11 cnf(c_0_117, negated_conjecture, (~hBOOL(hAPP_com_bool(wt,y))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_114]), c_0_70])). 1.02/1.11 cnf(c_0_118, plain, (hAPP_com_bool(X1,X2)=fFalse|hAPP_com_bool(X1,X2)=hoare_298929751gleton), inference(rw,[status(thm)],[c_0_115, c_0_95])). 1.02/1.11 cnf(c_0_119, plain, (hBOOL(hAPP_com_bool(wt,X1))|hAPP_p799580910on_com(body,X2)!=some_com(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_108])])). 1.02/1.11 cnf(c_0_120, negated_conjecture, (hAPP_com_bool(wt,y)=fFalse), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_118]), c_0_82])])). 1.02/1.11 cnf(c_0_121, hypothesis, (hAPP_p799580910on_com(body,pn)=some_com(y)), inference(split_conjunct,[status(thm)],[conj_5])). 1.02/1.11 cnf(c_0_122, negated_conjecture, (hAPP_p799580910on_com(body,X1)!=hAPP_p799580910on_com(body,pn)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_121]), c_0_70])). 1.02/1.11 cnf(c_0_123, negated_conjecture, ($false), inference(er,[status(thm)],[c_0_122]), ['proof']). 1.02/1.11 % SZS output end Proof 1.02/1.11 % Total time : 0.461000 s 1.02/1.12 EOF