0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.13/0.35 % Computer : n002.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1200 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Jul 13 15:48:48 EDT 2021 0.13/0.36 % CPUTime : 0.13/0.36 % Number of cores: 8 0.13/0.36 % Python version: Python 3.6.8 0.13/0.36 # Version: 2.6rc1-ho 0.13/0.37 # No SInE strategy applied 0.13/0.37 # Trying AutoSched0 for 59 seconds 7.20/7.42 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d 7.20/7.42 # and selection function SelectCQIPrecWNTNp. 7.20/7.42 # 7.20/7.42 # Preprocessing time : 0.040 s 7.20/7.42 # Presaturation interreduction done 7.20/7.42 7.20/7.42 # Proof found! 7.20/7.42 # SZS status Theorem 7.20/7.42 # SZS output start CNFRefutation 7.20/7.42 thf(thm_2Eoption_2Eoption__CLAUSES, axiom, ![X1:d, X2:d, X9:u, X10:u, X11:u]:(((((((((((((((((((![X12:u]:(s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X12)))))=(s @ X1 @ X12)&![X13:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X13)))))<=>mono_2Ec_2Ebool_2ET))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))<=>mono_2Ec_2Ebool_2EF))&![X14:u]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X14)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)<=>j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X14)))))&![X15:u]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X15)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)<=>~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X15))))))&![X16:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X16)))=>(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X16)))))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X16)))&![X17:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X17) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X17))&![X18:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X18)))=>(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X18) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X10) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X18)))&![X19:u, X20:u]:(s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ X2 @ X19) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X20)))=(s @ X2 @ X19))&![X21:u, X22:u, X23:u]:(s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X21))) @ (s @ X2 @ X22) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X23)))=(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X23) @ (s @ X1 @ X21))))&![X24:u, X25:u]:(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X24) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X25)))))=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X24) @ (s @ X1 @ X25))))))&![X26:u]:(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X26) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0))&![X27:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X1)) @ (c_2Eoption_2ESOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X27)))))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X27))&(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))&![X28:u]:((s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X28) @ (s @ X2 @ X11) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X9)))=(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X9) @ (s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X28)))))<=j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X28)))))&![X29:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X29)))=>(s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X29) @ (s @ X2 @ X11) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X9)))=(s @ X2 @ X11)))&![X30:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X30) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X30) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X30))&![X31:u]:~((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X31)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))&![X32:u]:~((s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X32)))))&![X33:u, X34:u]:((s @ X1 @ X33)=(s @ X1 @ X34)<=>(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X33)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X34))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eoption_2Eoption__CLAUSES)). 7.20/7.42 thf(ij_2Emono_2Etyop_2Emin_2Ebool, axiom, ![X48:u]:(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X48))))=(s @ tyop_2Emin_2Ebool @ X48), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ij_2Emono_2Etyop_2Emin_2Ebool)). 7.20/7.42 thf(ji_2Emono_2Etyop_2Emin_2Ebool, axiom, ![X40:$o]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (X40)))<=>X40), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ji_2Emono_2Etyop_2Emin_2Ebool)). 7.20/7.42 thf(arityeq1_2Ec_2Eoption_2EIS__NONE_2E1_2Emono_2EA_27a, axiom, ![X1:d, X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))<=>j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X1) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arityeq1_2Ec_2Eoption_2EIS__NONE_2E1_2Emono_2EA_27a)). 7.20/7.42 thf(reserved_2Equant_2E_3F, axiom, ![X1:d, X9:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X9)))<=>?[X35:u]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X9) @ (s @ X1 @ X35)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reserved_2Equant_2E_3F)). 7.20/7.42 thf(thm_2Equotient__option_2EOPTION__REL__def, conjecture, ![X1:d, X51:u, X35:u, X52:u]:((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X35))) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))<=>mono_2Ec_2Ebool_2EF)&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X51)))))<=>mono_2Ec_2Ebool_2EF))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X35))) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X51)))))<=>j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ X1 @ X35))) @ (s @ X1 @ X51)))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))<=>mono_2Ec_2Ebool_2ET)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Equotient__option_2EOPTION__REL__def)). 7.20/7.42 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool, axiom, ![X49:$o > $o, X42:$o]:(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (X49 @ (X42))))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X49)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (X42))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool)). 7.20/7.42 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29, axiom, ![X57:$o > $o]:(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X57)))=(X57), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)). 7.20/7.42 thf(reserved_2Elogic_2E_3D_3D_3E, axiom, ![X50:$o, X42:$o]:(mono_2Ec_2Emin_2E_3D_3D_3E @ (X50) @ (X42)<=>(X50=>X42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reserved_2Elogic_2E_3D_3D_3E)). 7.20/7.42 thf(thm_2Ebool_2EAND__CLAUSES, axiom, ![X5:$o]:((((((mono_2Ec_2Ebool_2EF&X5)<=>mono_2Ec_2Ebool_2EF)&(X5<=>(X5&X5)))&((mono_2Ec_2Ebool_2EF&X5)<=>mono_2Ec_2Ebool_2EF))&((X5&mono_2Ec_2Ebool_2ET)<=>X5))&((mono_2Ec_2Ebool_2ET&X5)<=>X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Ebool_2EAND__CLAUSES)). 7.20/7.42 thf(thm_2Eoption_2EOPTREL__def, axiom, ![X1:d, X2:d, X44:u, X35:u, X45:u]:((?[X46:u, X47:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ X35)=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X46)))&j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X44) @ (s @ X1 @ X46))) @ (s @ X2 @ X47))))&(s @ (tyop_2Eoption_2Eoption @ X2) @ X45)=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ X47))))|((s @ (tyop_2Eoption_2Eoption @ X1) @ X35)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)&(s @ (tyop_2Eoption_2Eoption @ X2) @ X45)=(s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0)))<=>j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X44) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X35) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X45)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eoption_2EOPTREL__def)). 7.20/7.42 thf(reserved_2Eho_2Ei__thm, axiom, ![X1:d, X38:u]:(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X1) @ combin_i_2E0) @ (s @ X1 @ X38)))=(s @ X1 @ X38), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reserved_2Eho_2Ei__thm)). 7.20/7.42 thf(reserved_2Elogic_2E_2F_5C, axiom, ![X55:$o, X42:$o]:((X55&X42)<=>mono_2Ec_2Ebool_2E_2F_5C @ (X55) @ (X42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reserved_2Elogic_2E_2F_5C)). 7.20/7.42 thf(reserved_2Eho_2Eeq__ext, axiom, ![X1:d, X2:d, X9:u, X53:u]:(![X54:u]:(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X9) @ (s @ X1 @ X54)))=(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X53) @ (s @ X1 @ X54)))=>(s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X9)=(s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reserved_2Eho_2Eeq__ext)). 7.20/7.42 thf(arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27b, axiom, ![X2:d, X3:u]:(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ X3)))=(s @ (tyop_2Eoption_2Eoption @ X2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Eoption_2Eoption @ X2)) @ c_2Eoption_2ESOME_2E0) @ (s @ X2 @ X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27b)). 7.20/7.42 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29, axiom, ![X48:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X48))))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X48), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)). 7.20/7.42 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a, axiom, ![X1:d, X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))<=>j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_3F_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a)). 7.20/7.42 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29, axiom, ![X6:$o > $o > $o, X42:$o]:(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X6 @ (X42))))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X6)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (X42))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)). 7.20/7.42 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29, axiom, ![X48:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ X48))))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ X48), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)). 7.20/7.42 thf(reserved_2Equant_2E_21, axiom, ![X1:d, X9:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X9)))<=>![X35:u]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X9) @ (s @ X1 @ X35)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reserved_2Equant_2E_21)). 7.20/7.42 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a, axiom, ![X1:d, X3:u, X4:u]:((s @ X1 @ X3)=(s @ X1 @ X4)<=>j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ (s @ X1 @ X3))) @ (s @ X1 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a)). 7.20/7.42 thf(c_0_21, plain, ![X1:d, X2:d, X9:u, X10:u, X11:u]:(((((((((((((((((((![X12:u]:(s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X12)))))=(s @ X1 @ X12)&![X13:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X13)))))<=>mono_2Ec_2Ebool_2ET))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))<=>mono_2Ec_2Ebool_2EF))&![X14:u]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X14)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)<=>j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X14)))))&![X15:u]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X15)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)<=>~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X15)))))&![X16:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X16)))=>(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X16)))))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X16)))&![X17:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X17) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X17))&![X18:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X18)))=>(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X18) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X10) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X18)))&![X19:u, X20:u]:(s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ X2 @ X19) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X20)))=(s @ X2 @ X19))&![X21:u, X22:u, X23:u]:(s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X21))) @ (s @ X2 @ X22) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X23)))=(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X23) @ (s @ X1 @ X21))))&![X24:u, X25:u]:(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X24) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X25)))))=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X24) @ (s @ X1 @ X25))))))&![X26:u]:(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X26) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0))&![X27:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X1)) @ (c_2Eoption_2ESOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X27)))))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X27))&(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))&![X28:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X28)))=>(s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X28) @ (s @ X2 @ X11) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X9)))=(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X9) @ (s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X28)))))))&![X29:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X29)))=>(s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X29) @ (s @ X2 @ X11) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X9)))=(s @ X2 @ X11)))&![X30:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X30) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X30) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X30))&![X31:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X31)))!=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))&![X32:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X32))))&![X33:u, X34:u]:((s @ X1 @ X33)=(s @ X1 @ X34)<=>(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X33)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X34))))), inference(fof_simplification,[status(thm)],[thm_2Eoption_2Eoption__CLAUSES])). 7.20/7.42 thf(c_0_22, axiom, ![X48:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X48)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X48))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X48)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ X48))), inference(fool_unroll,[status(thm)],[ij_2Emono_2Etyop_2Emin_2Ebool])). 7.20/7.42 thf(c_0_23, plain, ![X214:d, X215:d, X216:u, X217:u, X218:u, X219:u, X220:u, X221:u, X222:u, X223:u, X224:u, X225:u, X226:u, X227:u, X228:u, X229:u, X230:u, X231:u, X232:u, X233:u, X234:u, X235:u, X236:u, X237:u, X238:u, X239:u, X240:u, X241:u]:((((((((((((((((((((s @ X214 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X219)))))=(s @ X214 @ X219)&((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X220)))))|mono_2Ec_2Ebool_2ET)&(~mono_2Ec_2Ebool_2ET|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X220))))))))&((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF)&(~mono_2Ec_2Ebool_2EF|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0))))))&(((s @ (tyop_2Eoption_2Eoption @ X214) @ X221)!=(s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0)|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X221))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X221)))|(s @ (tyop_2Eoption_2Eoption @ X214) @ X221)=(s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0))))&(((s @ (tyop_2Eoption_2Eoption @ X214) @ X222)!=(s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0)|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X222))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X222)))|(s @ (tyop_2Eoption_2Eoption @ X214) @ X222)=(s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X223)))|(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X223)))))=(s @ (tyop_2Eoption_2Eoption @ X214) @ X223)))&(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X224) @ (s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Emin_2Efun @ X214 @ (tyop_2Eoption_2Eoption @ X214)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X214) @ X224))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X225)))|(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X225) @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X217) @ (s @ (tyop_2Emin_2Efun @ X214 @ (tyop_2Eoption_2Eoption @ X214)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X214) @ X225)))&(s @ X215 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0) @ (s @ X215 @ X226) @ (s @ (tyop_2Emin_2Efun @ X214 @ X215) @ X227)))=(s @ X215 @ X226))&(s @ X215 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X228))) @ (s @ X215 @ X229) @ (s @ (tyop_2Emin_2Efun @ X214 @ X215) @ X230)))=(s @ X215 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X214 @ X215) @ X230) @ (s @ X214 @ X228))))&(s @ (tyop_2Eoption_2Eoption @ X215) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X214 @ X215) @ X231) @ (s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X232)))))=(s @ (tyop_2Eoption_2Eoption @ X215) @ (c_2Eoption_2ESOME_2E1 @ (s @ X215 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X214 @ X215) @ X231) @ (s @ X214 @ X232))))))&(s @ (tyop_2Eoption_2Eoption @ X215) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X214 @ X215) @ X233) @ (s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X215) @ c_2Eoption_2ENONE_2E0))&(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X214)) @ (c_2Eoption_2ESOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X234)))))=(s @ (tyop_2Eoption_2Eoption @ X214) @ X234))&(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X214)) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X235)))|(s @ X215 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X235) @ (s @ X215 @ X218) @ (s @ (tyop_2Emin_2Efun @ X214 @ X215) @ X216)))=(s @ X215 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X214 @ X215) @ X216) @ (s @ X214 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X235)))))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X236)))|(s @ X215 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X236) @ (s @ X215 @ X218) @ (s @ (tyop_2Emin_2Efun @ X214 @ X215) @ X216)))=(s @ X215 @ X218)))&(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X237) @ (s @ (tyop_2Eoption_2Eoption @ X214) @ X237) @ (s @ (tyop_2Emin_2Efun @ X214 @ (tyop_2Eoption_2Eoption @ X214)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X214) @ X237))&(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X238)))!=(s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0))&(s @ (tyop_2Eoption_2Eoption @ X214) @ c_2Eoption_2ENONE_2E0)!=(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X239))))&(((s @ X214 @ X240)!=(s @ X214 @ X241)|(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X240)))=(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X241))))&((s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X240)))!=(s @ (tyop_2Eoption_2Eoption @ X214) @ (c_2Eoption_2ESOME_2E1 @ (s @ X214 @ X241)))|(s @ X214 @ X240)=(s @ X214 @ X241)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])). 7.20/7.42 thf(c_0_24, plain, ![X288:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X288)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X288))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X288)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ X288))), inference(variable_rename,[status(thm)],[c_0_22])). 7.20/7.42 thf(c_0_25, plain, ![X3:u, X1:d]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))|(s @ (tyop_2Eoption_2Eoption @ X1) @ X3)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)), inference(split_conjunct,[status(thm)],[c_0_23])). 7.20/7.42 thf(c_0_26, axiom, ![X40:$o]:(((~X40|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))&(X40|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))<=>X40), inference(fool_unroll,[status(thm)],[ji_2Emono_2Etyop_2Emin_2Ebool])). 7.20/7.42 thf(c_0_27, plain, ![X324:d, X325:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X324) @ X325)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X324) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X324) @ X325))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X324) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X324) @ X325)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X324) @ X325))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Eoption_2EIS__NONE_2E1_2Emono_2EA_27a])])). 7.20/7.42 thf(c_0_28, plain, ![X3:u]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X3)|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X3)), inference(split_conjunct,[status(thm)],[c_0_24])). 7.20/7.42 thf(c_0_29, plain, ![X1:d]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))), inference(er,[status(thm)],[c_0_25])). 7.20/7.42 thf(c_0_30, plain, ![X264:$o]:((((~X264|X264|X264)&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|X264|X264))&((~X264|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))|X264)&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))|X264)))&((~X264|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))|~X264)&(X264|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|~X264))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])). 7.20/7.42 thf(c_0_31, plain, ![X250:d, X251:u, X253:d, X254:u, X255:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ X250 @ tyop_2Emin_2Ebool) @ X251)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X250 @ tyop_2Emin_2Ebool) @ X251) @ (s @ X250 @ (esk1_2 @ X250 @ X251)))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X253 @ tyop_2Emin_2Ebool) @ X254) @ (s @ X253 @ X255)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ X253 @ tyop_2Emin_2Ebool) @ X254))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Equant_2E_3F])])])])])). 7.20/7.42 thf(c_0_32, plain, ![X1:d, X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X1) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_27])). 7.20/7.42 thf(c_0_33, plain, ![X3:u, X2:d, X1:d]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0), inference(split_conjunct,[status(thm)],[c_0_23])). 7.20/7.42 thf(c_0_34, plain, ![X1:d]:(s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(spm,[status(thm)],[c_0_28, c_0_29])). 7.20/7.42 thf(c_0_35, plain, j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_30])])])). 7.20/7.42 thf(c_0_36, plain, ![X1:d, X3:u, X4:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3) @ (s @ X1 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_31])). 7.20/7.42 thf(c_0_37, plain, ![X1:d]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X1) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34]), c_0_35])])). 7.20/7.42 thf(c_0_38, plain, ![X1:d]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X1) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 7.20/7.42 thf(c_0_39, plain, ![X1:d, X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3) @ (s @ X1 @ (esk1_2 @ X1 @ X3))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 7.20/7.42 thf(c_0_40, plain, ![X1:d]:(s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X1) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(spm,[status(thm)],[c_0_28, c_0_38])). 7.20/7.42 thf(c_0_41, plain, ![X1:d, X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X1) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_27])). 7.20/7.42 thf(c_0_42, plain, ![X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X3)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ X3)), inference(split_conjunct,[status(thm)],[c_0_24])). 7.20/7.42 thf(c_0_43, plain, ![X50:$o, X42:$o]:(epred2_2 @ X42 @ X50<=>((~X50|((~X42|mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)&(X42|mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false)))&(X50|((~X42|mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true)&(X42|mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false))))), introduced(definition)). 7.20/7.42 thf(c_0_44, negated_conjecture, ~(![X1:d, X51:u, X35:u, X52:u]:((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X35))) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))<=>mono_2Ec_2Ebool_2EF)&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X51)))))<=>mono_2Ec_2Ebool_2EF))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X35))) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X51)))))<=>j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ X1 @ X35))) @ (s @ X1 @ X51)))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X52) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))<=>mono_2Ec_2Ebool_2ET))), inference(assume_negation,[status(cth)],[thm_2Equotient__option_2EOPTION__REL__def])). 7.20/7.42 thf(c_0_45, plain, ![X1:d]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X1) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (esk1_2 @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2EIS__NONE_2E0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_35])])). 7.20/7.42 thf(c_0_46, plain, ![X1:d, X3:u]:((s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Eoption_2Eoption @ X1) @ tyop_2Emin_2Ebool) @ c_2Eoption_2EIS__NONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 7.20/7.42 thf(c_0_47, plain, ~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_30])])])). 7.20/7.42 thf(c_0_48, plain, ![X55:$o, X42:$o]:(epred3_2 @ X42 @ X55<=>((~X55|((~X42|mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)&(X42|mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false)))&(X55|((~X42|mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true)&(X42|mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false))))), introduced(definition)). 7.20/7.42 thf(c_0_49, axiom, ![X49:$o > $o, X42:$o]:((((~X42|~X49 @ $true)&(X42|~X49 @ $false))|((~X42|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X49)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))))&(X42|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X49)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)))))))&(((~X42|X49 @ $true)&(X42|X49 @ $false))|((~X42|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X49)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))))&(X42|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X49)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)))))))), inference(fool_unroll,[status(thm)],[monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool])). 7.20/7.42 thf(c_0_50, plain, ![X335:$o > $o]:(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X335)))=(X335), inference(variable_rename,[status(thm)],[ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29])). 7.20/7.42 thf(c_0_51, axiom, ![X50:$o, X42:$o]:(epred2_2 @ X42 @ X50<=>(X50=>X42)), inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E]), c_0_43])). 7.20/7.42 thf(c_0_52, negated_conjecture, (((((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~mono_2Ec_2Ebool_2EF|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2EF))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2ET|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~mono_2Ec_2Ebool_2EF|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2EF)))))&((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~mono_2Ec_2Ebool_2EF|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2EF))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2ET|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~mono_2Ec_2Ebool_2EF|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2EF))))))&(((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2EF))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2ET|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2EF)))))&((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2EF))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2ET|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2EF)))))))&((((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~mono_2Ec_2Ebool_2EF|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2ET|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~mono_2Ec_2Ebool_2EF|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF)))))&((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~mono_2Ec_2Ebool_2EF|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2ET|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~mono_2Ec_2Ebool_2EF|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF))))))&(((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2ET|(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF)))))&((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2ET|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF)))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])])). 7.20/7.42 thf(c_0_53, plain, ![X5:$o]:((((mono_2Ec_2Ebool_2EF&X5)<=>mono_2Ec_2Ebool_2EF)&((X5&mono_2Ec_2Ebool_2ET)<=>X5))&((mono_2Ec_2Ebool_2ET&X5)<=>X5)), inference(fof_simplification,[status(thm)],[thm_2Ebool_2EAND__CLAUSES])). 7.20/7.42 thf(c_0_54, plain, ![X272:d, X273:d, X274:u, X275:u, X276:u, X277:u, X278:u, X279:d, X280:d, X281:u, X282:u, X283:u]:((((s @ (tyop_2Eoption_2Eoption @ X272) @ X275)!=(s @ (tyop_2Eoption_2Eoption @ X272) @ (c_2Eoption_2ESOME_2E1 @ (s @ X272 @ X277)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X273 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X272 @ (tyop_2Emin_2Efun @ X273 @ tyop_2Emin_2Ebool)) @ X274) @ (s @ X272 @ X277))) @ (s @ X273 @ X278)))|(s @ (tyop_2Eoption_2Eoption @ X273) @ X276)!=(s @ (tyop_2Eoption_2Eoption @ X273) @ (c_2Eoption_2ESOME_2E1 @ (s @ X273 @ X278)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X272 @ (tyop_2Emin_2Efun @ X273 @ tyop_2Emin_2Ebool)) @ X274) @ (s @ (tyop_2Eoption_2Eoption @ X272) @ X275) @ (s @ (tyop_2Eoption_2Eoption @ X273) @ X276))))&((s @ (tyop_2Eoption_2Eoption @ X272) @ X275)!=(s @ (tyop_2Eoption_2Eoption @ X272) @ c_2Eoption_2ENONE_2E0)|(s @ (tyop_2Eoption_2Eoption @ X273) @ X276)!=(s @ (tyop_2Eoption_2Eoption @ X273) @ c_2Eoption_2ENONE_2E0)|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X272 @ (tyop_2Emin_2Efun @ X273 @ tyop_2Emin_2Ebool)) @ X274) @ (s @ (tyop_2Eoption_2Eoption @ X272) @ X275) @ (s @ (tyop_2Eoption_2Eoption @ X273) @ X276)))))&(((((s @ (tyop_2Eoption_2Eoption @ X279) @ X282)=(s @ (tyop_2Eoption_2Eoption @ X279) @ c_2Eoption_2ENONE_2E0)|(s @ (tyop_2Eoption_2Eoption @ X279) @ X282)=(s @ (tyop_2Eoption_2Eoption @ X279) @ (c_2Eoption_2ESOME_2E1 @ (s @ X279 @ (esk2_5 @ X279 @ X280 @ X281 @ X282 @ X283))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X279 @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool)) @ X281) @ (s @ (tyop_2Eoption_2Eoption @ X279) @ X282) @ (s @ (tyop_2Eoption_2Eoption @ X280) @ X283))))&((s @ (tyop_2Eoption_2Eoption @ X280) @ X283)=(s @ (tyop_2Eoption_2Eoption @ X280) @ c_2Eoption_2ENONE_2E0)|(s @ (tyop_2Eoption_2Eoption @ X279) @ X282)=(s @ (tyop_2Eoption_2Eoption @ X279) @ (c_2Eoption_2ESOME_2E1 @ (s @ X279 @ (esk2_5 @ X279 @ X280 @ X281 @ X282 @ X283))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X279 @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool)) @ X281) @ (s @ (tyop_2Eoption_2Eoption @ X279) @ X282) @ (s @ (tyop_2Eoption_2Eoption @ X280) @ X283)))))&(((s @ (tyop_2Eoption_2Eoption @ X279) @ X282)=(s @ (tyop_2Eoption_2Eoption @ X279) @ c_2Eoption_2ENONE_2E0)|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X279 @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool)) @ X281) @ (s @ X279 @ (esk2_5 @ X279 @ X280 @ X281 @ X282 @ X283)))) @ (s @ X280 @ (esk3_5 @ X279 @ X280 @ X281 @ X282 @ X283))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X279 @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool)) @ X281) @ (s @ (tyop_2Eoption_2Eoption @ X279) @ X282) @ (s @ (tyop_2Eoption_2Eoption @ X280) @ X283))))&((s @ (tyop_2Eoption_2Eoption @ X280) @ X283)=(s @ (tyop_2Eoption_2Eoption @ X280) @ c_2Eoption_2ENONE_2E0)|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X279 @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool)) @ X281) @ (s @ X279 @ (esk2_5 @ X279 @ X280 @ X281 @ X282 @ X283)))) @ (s @ X280 @ (esk3_5 @ X279 @ X280 @ X281 @ X282 @ X283))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X279 @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool)) @ X281) @ (s @ (tyop_2Eoption_2Eoption @ X279) @ X282) @ (s @ (tyop_2Eoption_2Eoption @ X280) @ X283))))))&(((s @ (tyop_2Eoption_2Eoption @ X279) @ X282)=(s @ (tyop_2Eoption_2Eoption @ X279) @ c_2Eoption_2ENONE_2E0)|(s @ (tyop_2Eoption_2Eoption @ X280) @ X283)=(s @ (tyop_2Eoption_2Eoption @ X280) @ (c_2Eoption_2ESOME_2E1 @ (s @ X280 @ (esk3_5 @ X279 @ X280 @ X281 @ X282 @ X283))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X279 @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool)) @ X281) @ (s @ (tyop_2Eoption_2Eoption @ X279) @ X282) @ (s @ (tyop_2Eoption_2Eoption @ X280) @ X283))))&((s @ (tyop_2Eoption_2Eoption @ X280) @ X283)=(s @ (tyop_2Eoption_2Eoption @ X280) @ c_2Eoption_2ENONE_2E0)|(s @ (tyop_2Eoption_2Eoption @ X280) @ X283)=(s @ (tyop_2Eoption_2Eoption @ X280) @ (c_2Eoption_2ESOME_2E1 @ (s @ X280 @ (esk3_5 @ X279 @ X280 @ X281 @ X282 @ X283))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X279 @ (tyop_2Emin_2Efun @ X280 @ tyop_2Emin_2Ebool)) @ X281) @ (s @ (tyop_2Eoption_2Eoption @ X279) @ X282) @ (s @ (tyop_2Eoption_2Eoption @ X280) @ X283))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eoption_2EOPTREL__def])])])])])])). 7.20/7.42 thf(c_0_55, plain, ![X1:d, X3:u]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X3)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_23])). 7.20/7.42 thf(c_0_56, plain, ![X1:d]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (esk1_2 @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2EIS__NONE_2E0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47])). 7.20/7.42 thf(c_0_57, plain, ![X346:d, X347:u]:(s @ X346 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X346 @ X346) @ combin_i_2E0) @ (s @ X346 @ X347)))=(s @ X346 @ X347), inference(variable_rename,[status(thm)],[reserved_2Eho_2Ei__thm])). 7.20/7.42 thf(c_0_58, axiom, ![X55:$o, X42:$o]:((X55&X42)<=>epred3_2 @ X42 @ X55), inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[reserved_2Elogic_2E_2F_5C]), c_0_48])). 7.20/7.42 thf(c_0_59, plain, ![X314:d, X315:d, X316:u, X317:u]:((s @ X315 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X314 @ X315) @ X316) @ (s @ X314 @ (esk9_4 @ X314 @ X315 @ X316 @ X317))))!=(s @ X315 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X314 @ X315) @ X317) @ (s @ X314 @ (esk9_4 @ X314 @ X315 @ X316 @ X317))))|(s @ (tyop_2Emin_2Efun @ X314 @ X315) @ X316)=(s @ (tyop_2Emin_2Efun @ X314 @ X315) @ X317)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eeq__ext])])])). 7.20/7.42 thf(c_0_60, plain, ![X297:$o > $o, X298:$o]:((((~X298|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X297)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))|(~X298|~X297 @ $true))&(X298|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X297)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))|(~X298|~X297 @ $true)))&((~X298|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X297)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))|(X298|~X297 @ $false))&(X298|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X297)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))|(X298|~X297 @ $false))))&(((~X298|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X297)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))|(~X298|X297 @ $true))&(X298|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X297)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))|(~X298|X297 @ $true)))&((~X298|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X297)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))|(X298|X297 @ $false))&(X298|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X297)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))|(X298|X297 @ $false))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_49])])). 7.20/7.42 thf(c_0_61, plain, ![X43:$o > $o]:(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)))=(X43), inference(split_conjunct,[status(thm)],[c_0_50])). 7.20/7.42 thf(c_0_62, plain, ![X350:$o, X351:$o]:((((~X351|mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true|~X350|~epred2_2 @ X351 @ X350)&(X351|mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|~X350|~epred2_2 @ X351 @ X350))&((~X351|mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|X350|~epred2_2 @ X351 @ X350)&(X351|mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|X350|~epred2_2 @ X351 @ X350)))&(((~X350|X350|epred2_2 @ X351 @ X350)&(((~X351|X351|X350|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|X351|X350|epred2_2 @ X351 @ X350))&((~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|X350|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|X350|epred2_2 @ X351 @ X350))))&((((~X350|(~X351|X351)|epred2_2 @ X351 @ X350)&(((~X351|X351|(~X351|X351)|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|X351|(~X351|X351)|epred2_2 @ X351 @ X350))&((~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|(~X351|X351)|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|(~X351|X351)|epred2_2 @ X351 @ X350))))&((~X350|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|X351)|epred2_2 @ X351 @ X350)&(((~X351|X351|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|X351)|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|X351|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|X351)|epred2_2 @ X351 @ X350))&((~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|X351)|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|X351)|epred2_2 @ X351 @ X350)))))&(((~X350|(~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350)&(((~X351|X351|(~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|X351|(~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350))&((~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|(~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|(~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350))))&((~X350|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350)&(((~X351|X351|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|X351|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350))&((~X351|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350)&(~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $false @ $true|(~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true)|epred2_2 @ X351 @ X350)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])). 7.20/7.42 thf(c_0_63, plain, ![X300:$o, X301:$o]:((~epred2_2 @ X301 @ X300|(~X300|X301))&((X300|epred2_2 @ X301 @ X300)&(~X301|epred2_2 @ X301 @ X300))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])). 7.20/7.42 thf(c_0_64, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET), inference(split_conjunct,[status(thm)],[c_0_52])). 7.20/7.42 thf(c_0_65, plain, ![X256:$o]:((((~mono_2Ec_2Ebool_2EF|~X256|mono_2Ec_2Ebool_2EF)&((mono_2Ec_2Ebool_2EF|~mono_2Ec_2Ebool_2EF)&(X256|~mono_2Ec_2Ebool_2EF)))&((~X256|~mono_2Ec_2Ebool_2ET|X256)&((X256|~X256)&(mono_2Ec_2Ebool_2ET|~X256))))&((~mono_2Ec_2Ebool_2ET|~X256|X256)&((mono_2Ec_2Ebool_2ET|~X256)&(X256|~X256)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])). 7.20/7.42 thf(c_0_66, plain, ![X1:d, X8:u, X4:u, X3:u, X2:d]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X8) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X4)))|(s @ (tyop_2Eoption_2Eoption @ X1) @ X3)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)|(s @ (tyop_2Eoption_2Eoption @ X2) @ X4)!=(s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0)), inference(split_conjunct,[status(thm)],[c_0_54])). 7.20/7.42 thf(c_0_67, plain, ![X1:d]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (esk1_2 @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2EIS__NONE_2E0))=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0), inference(spm,[status(thm)],[c_0_55, c_0_56])). 7.20/7.42 thf(c_0_68, plain, ![X1:d, X2:d, X8:u, X4:u, X3:u]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X3)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)|(s @ (tyop_2Eoption_2Eoption @ X2) @ X4)=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ (esk2_5 @ X2 @ X1 @ X8 @ X4 @ X3))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X8) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_54])). 7.20/7.42 thf(c_0_69, plain, ![X1:d, X3:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_23])). 7.20/7.42 thf(c_0_70, plain, ![X207:d, X208:u]:(s @ (tyop_2Eoption_2Eoption @ X207) @ (c_2Eoption_2ESOME_2E1 @ (s @ X207 @ X208)))=(s @ (tyop_2Eoption_2Eoption @ X207) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X207 @ (tyop_2Eoption_2Eoption @ X207)) @ c_2Eoption_2ESOME_2E0) @ (s @ X207 @ X208))), inference(variable_rename,[status(thm)],[arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27b])). 7.20/7.42 thf(c_0_71, plain, ![X1:d, X2:d, X3:u, X8:u, X4:u]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X3)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)|(s @ (tyop_2Eoption_2Eoption @ X2) @ X4)=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ (esk3_5 @ X1 @ X2 @ X8 @ X3 @ X4))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X8) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_54])). 7.20/7.42 thf(c_0_72, plain, ![X1:d, X3:u]:(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X1) @ combin_i_2E0) @ (s @ X1 @ X3)))=(s @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_57])). 7.20/7.42 thf(c_0_73, plain, ![X352:$o, X353:$o]:((((~X353|mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true|~X352|~epred3_2 @ X353 @ X352)&(X353|mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|~X352|~epred3_2 @ X353 @ X352))&((~X353|mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|X352|~epred3_2 @ X353 @ X352)&(X353|mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|X352|~epred3_2 @ X353 @ X352)))&(((~X352|X352|epred3_2 @ X353 @ X352)&(((~X353|X353|X352|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|X353|X352|epred3_2 @ X353 @ X352))&((~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|X352|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|X352|epred3_2 @ X353 @ X352))))&((((~X352|(~X353|X353)|epred3_2 @ X353 @ X352)&(((~X353|X353|(~X353|X353)|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|X353|(~X353|X353)|epred3_2 @ X353 @ X352))&((~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|(~X353|X353)|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|(~X353|X353)|epred3_2 @ X353 @ X352))))&((~X352|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|X353)|epred3_2 @ X353 @ X352)&(((~X353|X353|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|X353)|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|X353|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|X353)|epred3_2 @ X353 @ X352))&((~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|X353)|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|X353)|epred3_2 @ X353 @ X352)))))&(((~X352|(~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352)&(((~X353|X353|(~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|X353|(~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352))&((~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|(~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|(~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352))))&((~X352|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352)&(((~X353|X353|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|X353|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352))&((~X353|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352)&(~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $false @ $true|(~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true)|epred3_2 @ X353 @ X352)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])). 7.20/7.42 thf(c_0_74, plain, ![X322:$o, X323:$o]:((~X322|~X323|epred3_2 @ X323 @ X322)&((X322|~epred3_2 @ X323 @ X322)&(X323|~epred3_2 @ X323 @ X322))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])). 7.20/7.42 thf(c_0_75, plain, ![X291:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X291))))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X291), inference(variable_rename,[status(thm)],[ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29])). 7.20/7.42 thf(c_0_76, plain, ![X1:d, X2:d, X3:u, X4:u]:((s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X3)=(s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X4)|(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X3) @ (s @ X2 @ (esk9_4 @ X2 @ X1 @ X3 @ X4))))!=(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X4) @ (s @ X2 @ (esk9_4 @ X2 @ X1 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_59])). 7.20/7.42 thf(c_0_77, plain, ![X43:$o > $o]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))|X43 @ $false), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_60])])])). 7.20/7.42 thf(c_0_78, plain, ![X3:u]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ X3)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X3)), inference(spm,[status(thm)],[c_0_28, c_0_42])). 7.20/7.42 thf(c_0_79, plain, ![X43:$o > $o, X354:$o]:(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ X354)=(X43 @ X354), inference(arg_cong,[status(thm)],[c_0_61])). 7.20/7.42 thf(c_0_80, plain, (mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true|~epred2_2 @ $true @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_62])])])). 7.20/7.42 thf(c_0_81, plain, ![X7:$o]:epred2_2 @ $true @ X7, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_63])])])). 7.20/7.42 thf(c_0_82, negated_conjecture, (mono_2Ec_2Ebool_2EF|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~mono_2Ec_2Ebool_2ET|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))), inference(cn,[status(thm)],[c_0_64])). 7.20/7.42 thf(c_0_83, plain, mono_2Ec_2Ebool_2ET, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_65])])])). 7.20/7.42 thf(c_0_84, plain, ~mono_2Ec_2Ebool_2EF, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_65])])])). 7.20/7.42 thf(c_0_85, plain, ![X3:u, X4:u, X2:d, X1:d]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0)))|(s @ (tyop_2Eoption_2Eoption @ X1) @ X4)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)), inference(spm,[status(thm)],[c_0_66, c_0_67])). 7.20/7.42 thf(c_0_86, plain, ![X1:d, X2:d, X4:u, X3:u]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X3)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_33]), c_0_69])). 7.20/7.42 thf(c_0_87, plain, ![X1:d, X3:u]:(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X3)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0) @ (s @ X1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_70])). 7.20/7.42 thf(c_0_88, plain, ![X1:d, X4:u, X3:u, X2:d]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X3)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_33]), c_0_69])). 7.20/7.42 thf(c_0_89, plain, ![X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X3)), inference(spm,[status(thm)],[c_0_36, c_0_72])). 7.20/7.42 thf(c_0_90, plain, (mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true|~epred3_2 @ $true @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_73])])])). 7.20/7.42 thf(c_0_91, plain, epred3_2 @ $true @ $true, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_74])])])). 7.20/7.42 thf(c_0_92, plain, ![X3:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3))))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3), inference(split_conjunct,[status(thm)],[c_0_75])). 7.20/7.42 thf(c_0_93, plain, ![X1:d, X3:u]:((s @ (tyop_2Emin_2Efun @ X1 @ X1) @ X3)=(s @ (tyop_2Emin_2Efun @ X1 @ X1) @ combin_i_2E0)|(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X1) @ X3) @ (s @ X1 @ (esk9_4 @ X1 @ X1 @ X3 @ combin_i_2E0))))!=(s @ X1 @ (esk9_4 @ X1 @ X1 @ X3 @ combin_i_2E0))), inference(spm,[status(thm)],[c_0_76, c_0_72])). 7.20/7.42 thf(c_0_94, plain, ![X3:u, X43:$o > $o]:((s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ (s @ tyop_2Emin_2Ebool @ X3)))=(s @ tyop_2Emin_2Ebool @ X3)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X3)|X43 @ $false), inference(spm,[status(thm)],[c_0_77, c_0_78])). 7.20/7.42 thf(c_0_95, plain, ![X43:$o > $o]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))|~X43 @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_60])])])). 7.20/7.42 thf(c_0_96, plain, ![X43:$o > $o, X5:$o]:(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ X5|~X43 @ X5), inference(dynamic cnf,[status(thm)],[c_0_79])). 7.20/7.42 thf(c_0_97, plain, mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $true, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])). 7.20/7.42 thf(c_0_98, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_83])]), c_0_84])). 7.20/7.42 thf(c_0_99, plain, ![X1:d, X3:u, X2:d]:j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0))), inference(er,[status(thm)],[c_0_85])). 7.20/7.42 thf(c_0_100, plain, ![X1:d, X2:d, X3:u, X4:u]:~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ X4))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_69])). 7.20/7.42 thf(c_0_101, plain, ![X1:d, X4:u, X3:u, X2:d]:~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X4))) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_87]), c_0_69])). 7.20/7.42 thf(c_0_102, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|mono_2Ec_2Ebool_2EF|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|mono_2Ec_2Ebool_2EF|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))), inference(split_conjunct,[status(thm)],[c_0_52])). 7.20/7.42 thf(c_0_103, plain, ![X265:d, X266:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ X265 @ tyop_2Emin_2Ebool) @ X266)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X265 @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_3F_2E0) @ (s @ (tyop_2Emin_2Efun @ X265 @ tyop_2Emin_2Ebool) @ X266))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X265 @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_3F_2E0) @ (s @ (tyop_2Emin_2Efun @ X265 @ tyop_2Emin_2Ebool) @ X266)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ X265 @ tyop_2Emin_2Ebool) @ X266))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a])])). 7.20/7.42 thf(c_0_104, plain, j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_34]), c_0_35])])). 7.20/7.42 thf(c_0_105, plain, mono_2Ec_2Ebool_2E_2F_5C @ $true @ $true, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_91])])). 7.20/7.42 thf(c_0_106, plain, ![X3:u, X4:u]:((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3)=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X4)|(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3) @ (s @ tyop_2Emin_2Ebool @ (esk9_4 @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3))) @ X4))))!=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X4) @ (s @ tyop_2Emin_2Ebool @ (esk9_4 @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3))) @ X4))))), inference(spm,[status(thm)],[c_0_76, c_0_92])). 7.20/7.42 thf(c_0_107, plain, ![X43:$o > $o]:((s @ tyop_2Emin_2Ebool @ (esk9_4 @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43) @ combin_i_2E0))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))|(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)|X43 @ $false), inference(spm,[status(thm)],[c_0_93, c_0_94])). 7.20/7.42 thf(c_0_108, plain, ![X3:u]:((s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))|~j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3) @ $true), inference(spm,[status(thm)],[c_0_95, c_0_92])). 7.20/7.42 thf(c_0_109, plain, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Emin_2E_3D_3D_3E @ $true))) @ $true, inference(spm,[status(thm)],[c_0_96, c_0_97])). 7.20/7.42 thf(c_0_110, axiom, ![X6:$o > $o > $o, X42:$o]:((~X42|((~X42|(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X6 @ $true)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X6)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))))&(X42|(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X6 @ $true)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X6)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)))))))&(X42|((~X42|(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X6 @ $false)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X6)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))))&(X42|(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X6 @ $false)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X6)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)))))))), inference(fool_unroll,[status(thm)],[monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29])). 7.20/7.42 thf(c_0_111, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98, c_0_99])]), c_0_100]), c_0_101])). 7.20/7.42 thf(c_0_112, negated_conjecture, (mono_2Ec_2Ebool_2EF|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~mono_2Ec_2Ebool_2ET|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))), inference(cn,[status(thm)],[c_0_102])). 7.20/7.42 thf(c_0_113, plain, ![X1:d, X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_3F_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_103])). 7.20/7.42 thf(c_0_114, plain, (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(spm,[status(thm)],[c_0_28, c_0_104])). 7.20/7.42 thf(c_0_115, plain, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Ebool_2E_2F_5C @ $true))) @ $true, inference(spm,[status(thm)],[c_0_96, c_0_105])). 7.20/7.42 thf(c_0_116, plain, ![X3:u]:((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3)=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)|j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3) @ $false|(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))!=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_92]), c_0_72])])). 7.20/7.42 thf(c_0_117, plain, (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Emin_2E_3D_3D_3E @ $true))) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(spm,[status(thm)],[c_0_108, c_0_109])). 7.20/7.42 thf(c_0_118, plain, (epred2_2 @ $false @ $true|~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_62])])])). 7.20/7.42 thf(c_0_119, plain, ~epred2_2 @ $false @ $true, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_63])])])). 7.20/7.42 thf(c_0_120, plain, ![X333:$o > $o > $o, X334:$o]:(((~X334|(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X333 @ $true)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X333)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))|~X334)&(X334|(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X333 @ $true)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X333)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))|~X334))&((~X334|(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X333 @ $false)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X333)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))|X334)&(X334|(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X333 @ $false)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X333)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))|X334))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_110])])). 7.20/7.42 thf(c_0_121, plain, ![X332:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ X332))))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ X332), inference(variable_rename,[status(thm)],[ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29])). 7.20/7.42 thf(c_0_122, plain, ![X302:d, X303:u, X304:u, X305:d, X306:u]:((~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X302 @ tyop_2Emin_2Ebool) @ X303)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X302 @ tyop_2Emin_2Ebool) @ X303) @ (s @ X302 @ X304))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X305 @ tyop_2Emin_2Ebool) @ X306) @ (s @ X305 @ (esk4_2 @ X305 @ X306))))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X305 @ tyop_2Emin_2Ebool) @ X306))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Equant_2E_21])])])])])). 7.20/7.42 thf(c_0_123, plain, ![X1:d, X2:d, X4:u, X8:u, X3:u, X10:u, X9:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X8) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X10)))|(s @ (tyop_2Eoption_2Eoption @ X1) @ X3)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X4)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X8) @ (s @ X1 @ X4))) @ (s @ X2 @ X9)))|(s @ (tyop_2Eoption_2Eoption @ X2) @ X10)!=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_54])). 7.20/7.42 thf(c_0_124, negated_conjecture, ((s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk3_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_111]), c_0_69])). 7.20/7.42 thf(c_0_125, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ c_2Eoption_2ENONE_2E0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112, c_0_83])]), c_0_84])). 7.20/7.42 thf(c_0_126, negated_conjecture, ((s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk2_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_111]), c_0_69])). 7.20/7.42 thf(c_0_127, plain, j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_3F_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_114]), c_0_35])])). 7.20/7.42 thf(c_0_128, plain, (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Ebool_2E_2F_5C @ $true))) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(spm,[status(thm)],[c_0_108, c_0_115])). 7.20/7.42 thf(c_0_129, plain, (epred3_2 @ $false @ $true|~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_73])])])). 7.20/7.42 thf(c_0_130, plain, ![X7:$o]:~epred3_2 @ $false @ X7, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_74])])])). 7.20/7.42 thf(c_0_131, plain, ![X43:$o > $o, X5:$o]:(X43 @ X5|~j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ X5), inference(dynamic cnf,[status(thm)],[c_0_79])). 7.20/7.42 thf(c_0_132, plain, ((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Emin_2E_3D_3D_3E @ $true)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)|j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Emin_2E_3D_3D_3E @ $true))) @ $false), inference(spm,[status(thm)],[c_0_116, c_0_117])). 7.20/7.42 thf(c_0_133, plain, ~mono_2Ec_2Emin_2E_3D_3D_3E @ $true @ $false, inference(sr,[status(thm)],[c_0_118, c_0_119])). 7.20/7.42 thf(c_0_134, plain, ![X319:d, X320:u, X321:u]:(((s @ X319 @ X320)!=(s @ X319 @ X321)|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X319 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X319 @ (tyop_2Emin_2Efun @ X319 @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ (s @ X319 @ X320))) @ (s @ X319 @ X321))))&(~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X319 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X319 @ (tyop_2Emin_2Efun @ X319 @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ (s @ X319 @ X320))) @ (s @ X319 @ X321)))|(s @ X319 @ X320)=(s @ X319 @ X321))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a])])). 7.20/7.42 thf(c_0_135, plain, j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (esk1_2 @ tyop_2Emin_2Ebool @ combin_i_2E0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_114]), c_0_72]), c_0_35])])). 7.20/7.42 thf(c_0_136, plain, ![X6:$o > $o > $o]:(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (X6 @ $true)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ X6)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_120])])])). 7.20/7.42 thf(c_0_137, plain, ![X3:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ X3))))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ X3), inference(split_conjunct,[status(thm)],[c_0_121])). 7.20/7.42 thf(c_0_138, plain, ![X1:d, X4:u, X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3) @ (s @ X1 @ X4)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_122])). 7.20/7.42 thf(c_0_139, negated_conjecture, ![X4:u, X3:u]:((s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk3_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X4)))|(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X4)!=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))|(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3)!=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))), inference(spm,[status(thm)],[c_0_123, c_0_124])). 7.20/7.42 thf(c_0_140, negated_conjecture, (~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125, c_0_99])]), c_0_100]), c_0_101])). 7.20/7.42 thf(c_0_141, negated_conjecture, ![X4:u, X3:u]:((s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk2_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X4)))|(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X4)!=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))|(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3)!=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))), inference(spm,[status(thm)],[c_0_123, c_0_126])). 7.20/7.42 thf(c_0_142, plain, j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_3F_2E0))), inference(spm,[status(thm)],[c_0_36, c_0_127])). 7.20/7.42 thf(c_0_143, plain, ((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Ebool_2E_2F_5C @ $true)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)|j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Ebool_2E_2F_5C @ $true))) @ $false), inference(spm,[status(thm)],[c_0_116, c_0_128])). 7.20/7.42 thf(c_0_144, plain, ~mono_2Ec_2Ebool_2E_2F_5C @ $true @ $false, inference(sr,[status(thm)],[c_0_129, c_0_130])). 7.20/7.42 thf(c_0_145, plain, (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Emin_2E_3D_3D_3E @ $true)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_133])). 7.20/7.42 thf(c_0_146, plain, ![X1:d, X3:u, X4:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ (s @ X1 @ X3))) @ (s @ X1 @ X4)))|(s @ X1 @ X3)!=(s @ X1 @ X4)), inference(split_conjunct,[status(thm)],[c_0_134])). 7.20/7.42 thf(c_0_147, plain, (s @ tyop_2Emin_2Ebool @ (esk1_2 @ tyop_2Emin_2Ebool @ combin_i_2E0))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_78]), c_0_47])). 7.20/7.42 thf(c_0_148, plain, ![X3:u]:(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ X3) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ X3) @ $true))), inference(spm,[status(thm)],[c_0_136, c_0_137])). 7.20/7.42 thf(c_0_149, plain, ![X1:d, X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3) @ (s @ X1 @ (esk4_2 @ X1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_122])). 7.20/7.42 thf(c_0_150, plain, ![X1:d, X3:u, X4:u]:((s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3) @ (s @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_138, c_0_42])). 7.20/7.42 thf(c_0_151, negated_conjecture, ![X3:u]:((s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk3_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3)!=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))), inference(er,[status(thm)],[c_0_139])). 7.20/7.42 thf(c_0_152, negated_conjecture, ((s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk3_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))), inference(spm,[status(thm)],[c_0_140, c_0_124])). 7.20/7.42 thf(c_0_153, negated_conjecture, ![X3:u]:((s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk2_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3)!=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))), inference(er,[status(thm)],[c_0_141])). 7.20/7.42 thf(c_0_154, negated_conjecture, ((s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk2_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))), inference(spm,[status(thm)],[c_0_140, c_0_126])). 7.20/7.42 thf(c_0_155, plain, ![X1:d, X3:u, X4:u]:((s @ X1 @ X3)=(s @ X1 @ X4)|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ (s @ X1 @ X3))) @ (s @ X1 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_134])). 7.20/7.42 thf(c_0_156, plain, (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_3F_2E0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_78]), c_0_47])). 7.20/7.42 thf(c_0_157, plain, ![X43:$o > $o]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))|~X43 @ $false), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_60])])])). 7.20/7.42 thf(c_0_158, plain, ![X43:$o > $o]:((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)|j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ $false|~X43 @ $true), inference(spm,[status(thm)],[c_0_116, c_0_95])). 7.20/7.42 thf(c_0_159, plain, (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Ebool_2E_2F_5C @ $true)))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_143]), c_0_144])). 7.20/7.42 thf(c_0_160, plain, (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0))=(mono_2Ec_2Emin_2E_3D_3D_3E @ $true), inference(spm,[status(thm)],[c_0_61, c_0_145])). 7.20/7.42 thf(c_0_161, plain, ![X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ $true))) @ (s @ tyop_2Emin_2Ebool @ X3)))|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))!=(s @ tyop_2Emin_2Ebool @ X3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_147]), c_0_148])). 7.20/7.42 thf(c_0_162, plain, ![X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3) @ (s @ tyop_2Emin_2Ebool @ (esk4_2 @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ X3)))))))), inference(spm,[status(thm)],[c_0_149, c_0_92])). 7.20/7.42 thf(c_0_163, plain, ![X3:u]:((s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X3)), inference(spm,[status(thm)],[c_0_150, c_0_72])). 7.20/7.42 thf(c_0_164, plain, ![X1:d, X2:d, X4:u, X3:u, X8:u]:((s @ (tyop_2Eoption_2Eoption @ X1) @ X3)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X4) @ (s @ X1 @ (esk2_5 @ X1 @ X2 @ X4 @ X3 @ X8)))) @ (s @ X2 @ (esk3_5 @ X1 @ X2 @ X4 @ X3 @ X8))))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X8)))), inference(split_conjunct,[status(thm)],[c_0_54])). 7.20/7.42 thf(c_0_165, plain, ![X1:d, X3:u]:(s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X3)))))=(s @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_23])). 7.20/7.42 thf(c_0_166, negated_conjecture, (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk3_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_151]), c_0_152])). 7.20/7.42 thf(c_0_167, negated_conjecture, (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ (esk2_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_153]), c_0_154])). 7.20/7.42 thf(c_0_168, plain, ![X2:d, X1:d, X4:u, X3:u]:(s @ X1 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0) @ (s @ X1 @ X3) @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X4)))=(s @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_23])). 7.20/7.42 thf(c_0_169, plain, ![X3:u]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X3)|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ $true))) @ (s @ tyop_2Emin_2Ebool @ X3)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_156]), c_0_148])). 7.20/7.42 thf(c_0_170, plain, ![X3:u, X43:$o > $o]:((s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ (s @ tyop_2Emin_2Ebool @ X3)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X3)|~X43 @ $false), inference(spm,[status(thm)],[c_0_157, c_0_78])). 7.20/7.42 thf(c_0_171, plain, ![X43:$o > $o]:((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43))=(s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)|X43 @ $false|~X43 @ $true), inference(spm,[status(thm)],[c_0_131, c_0_158])). 7.20/7.42 thf(c_0_172, plain, (mono_2Ec_2Emin_2E_3D_3D_3E @ $true)=(mono_2Ec_2Ebool_2E_2F_5C @ $true), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_159]), c_0_160])). 7.20/7.42 thf(c_0_173, plain, j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ $true))) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))), inference(er,[status(thm)],[c_0_161])). 7.20/7.42 thf(c_0_174, plain, ![X43:$o > $o]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ X43)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))))|X43 @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_60])])])). 7.20/7.42 thf(c_0_175, plain, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (esk4_2 @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)))))), inference(spm,[status(thm)],[c_0_162, c_0_72])). 7.20/7.42 thf(c_0_176, plain, (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)), inference(spm,[status(thm)],[c_0_100, c_0_163])). 7.20/7.42 thf(c_0_177, plain, ![X1:d, X2:d, X3:u, X4:u, X8:u]:((s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X8)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|(s @ (tyop_2Eoption_2Eoption @ X1) @ X4)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X1 @ (esk2_5 @ X1 @ X2 @ X3 @ X4 @ X8)))) @ (s @ X2 @ (esk3_5 @ X1 @ X2 @ X3 @ X4 @ X8))))), inference(spm,[status(thm)],[c_0_164, c_0_42])). 7.20/7.42 thf(c_0_178, negated_conjecture, (s @ esk5_0 @ (esk3_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))=(s @ esk5_0 @ esk6_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165, c_0_166]), c_0_165])). 7.20/7.42 thf(c_0_179, negated_conjecture, (s @ esk5_0 @ (esk2_5 @ esk5_0 @ esk5_0 @ esk8_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0))))=(s @ esk5_0 @ esk7_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165, c_0_167]), c_0_165])). 7.20/7.42 thf(c_0_180, plain, ![X1:d, X2:d, X3:u, X4:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3) @ (s @ X1 @ (esk4_2 @ X1 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3) @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X4))))))), inference(spm,[status(thm)],[c_0_149, c_0_168])). 7.20/7.42 thf(c_0_181, plain, ![X3:u]:((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X3)|~j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ $true @ $false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_170]), c_0_35])])). 7.20/7.42 thf(c_0_182, plain, ![X43:$o > $o]:((mono_2Ec_2Ebool_2E_2F_5C @ $true)=(X43)|X43 @ $false|~X43 @ $true), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_171]), c_0_160]), c_0_172])). 7.20/7.42 thf(c_0_183, plain, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ $true @ $true, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_174]), c_0_47])). 7.20/7.42 thf(c_0_184, plain, ~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (esk4_2 @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0))))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_175, c_0_176]), c_0_47])). 7.20/7.42 thf(c_0_185, negated_conjecture, ((s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177, c_0_178]), c_0_179]), c_0_69])). 7.20/7.42 thf(c_0_186, plain, ![X1:d, X3:u]:~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (esk4_2 @ tyop_2Emin_2Ebool @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ X3)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_145]), c_0_176]), c_0_72]), c_0_47])). 7.20/7.42 thf(c_0_187, plain, ![X3:u]:((j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ $true)=(mono_2Ec_2Ebool_2E_2F_5C @ $true)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_182]), c_0_183])])). 7.20/7.42 thf(c_0_188, plain, (s @ tyop_2Emin_2Ebool @ (esk4_2 @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ combin_i_2E0)))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)), inference(spm,[status(thm)],[c_0_184, c_0_42])). 7.20/7.42 thf(c_0_189, negated_conjecture, j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_185]), c_0_47])). 7.20/7.42 thf(c_0_190, plain, (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ $true)=(mono_2Ec_2Ebool_2E_2F_5C @ $true), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186, c_0_187]), c_0_35])])). 7.20/7.42 thf(c_0_191, plain, (s @ tyop_2Emin_2Ebool @ (esk4_2 @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Emin_2E_3D_3D_3E @ $true))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)), inference(rw,[status(thm)],[c_0_188, c_0_160])). 7.20/7.42 thf(c_0_192, negated_conjecture, (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(spm,[status(thm)],[c_0_28, c_0_189])). 7.20/7.42 thf(c_0_193, negated_conjecture, ((s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|~j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))), inference(spm,[status(thm)],[c_0_140, c_0_42])). 7.20/7.42 thf(c_0_194, plain, ![X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X3)|(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))!=(s @ tyop_2Emin_2Ebool @ X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_161, c_0_190]), c_0_159]), c_0_72])). 7.20/7.42 thf(c_0_195, plain, (s @ tyop_2Emin_2Ebool @ (esk4_2 @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Ebool_2E_2F_5C @ $true))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)), inference(rw,[status(thm)],[c_0_191, c_0_172])). 7.20/7.42 thf(c_0_196, negated_conjecture, ![X4:u, X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X4)))|(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X4)!=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))|(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3)!=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_192]), c_0_35])])). 7.20/7.42 thf(c_0_197, negated_conjecture, ((s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))|(s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ esk5_0 @ esk7_0))) @ (s @ esk5_0 @ esk6_0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))), inference(spm,[status(thm)],[c_0_193, c_0_42])). 7.20/7.42 thf(c_0_198, plain, (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))!=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194, c_0_195]), c_0_47])). 7.20/7.42 thf(c_0_199, negated_conjecture, ![X3:u]:(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))|(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ X3)!=(s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0)))), inference(er,[status(thm)],[c_0_196])). 7.20/7.42 thf(c_0_200, negated_conjecture, (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk5_0 @ (tyop_2Emin_2Efun @ esk5_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk7_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk5_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk5_0 @ esk6_0)))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_197, c_0_192]), c_0_198])). 7.20/7.42 thf(c_0_201, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_199]), c_0_200]), c_0_47]), ['proof']). 7.20/7.42 # SZS output end CNFRefutation 7.20/7.42 # Proof object total steps : 202 7.20/7.42 # Proof object clause steps : 147 7.20/7.42 # Proof object formula steps : 55 7.20/7.42 # Proof object conjectures : 32 7.20/7.42 # Proof object clause conjectures : 29 7.20/7.42 # Proof object formula conjectures : 3 7.20/7.42 # Proof object initial clauses used : 47 7.20/7.42 # Proof object initial formulas used : 21 7.20/7.42 # Proof object generating inferences : 82 7.20/7.42 # Proof object simplifying inferences : 101 7.20/7.42 # Training examples: 0 positive, 0 negative 7.20/7.42 # Parsed axioms : 106 7.20/7.42 # Removed by relevancy pruning/SinE : 0 7.20/7.42 # Initial clauses : 324 7.20/7.42 # Removed in clause preprocessing : 152 7.20/7.42 # Initial clauses in saturation : 172 7.20/7.42 # Processed clauses : 19959 7.20/7.42 # ...of these trivial : 569 7.20/7.42 # ...subsumed : 17409 7.20/7.42 # ...remaining for further processing : 1981 7.20/7.42 # Other redundant clauses eliminated : 113 7.20/7.42 # Clauses deleted for lack of memory : 0 7.20/7.42 # Backward-subsumed : 95 7.20/7.42 # Backward-rewritten : 372 7.20/7.42 # Generated clauses : 302569 7.20/7.42 # ...of the previous two non-trivial : 267442 7.20/7.42 # Contextual simplify-reflections : 8 7.20/7.42 # Paramodulations : 301700 7.20/7.42 # Factorizations : 122 7.20/7.42 # NegExts : 109 7.20/7.42 # Equation resolutions : 217 7.20/7.42 # Propositional unsat checks : 0 7.20/7.42 # Propositional check models : 0 7.20/7.42 # Propositional check unsatisfiable : 0 7.20/7.42 # Propositional clauses : 0 7.20/7.42 # Propositional clauses after purity: 0 7.20/7.42 # Propositional unsat core size : 0 7.20/7.42 # Propositional preprocessing time : 0.000 7.20/7.42 # Propositional encoding time : 0.000 7.20/7.42 # Propositional solver time : 0.000 7.20/7.42 # Success case prop preproc time : 0.000 7.20/7.42 # Success case prop encoding time : 0.000 7.20/7.42 # Success case prop solver time : 0.000 7.20/7.42 # Current number of processed clauses : 1343 7.20/7.42 # Positive orientable unit clauses : 221 7.20/7.42 # Positive unorientable unit clauses: 23 7.20/7.42 # Negative unit clauses : 53 7.20/7.42 # Non-unit-clauses : 1046 7.20/7.42 # Current number of unprocessed clauses: 245902 7.20/7.42 # ...number of literals in the above : 730040 7.20/7.42 # Current number of archived formulas : 0 7.20/7.42 # Current number of archived clauses : 638 7.20/7.42 # Clause-clause subsumption calls (NU) : 255872 7.20/7.42 # Rec. Clause-clause subsumption calls : 111473 7.20/7.42 # Non-unit clause-clause subsumptions : 11524 7.20/7.42 # Unit Clause-clause subsumption calls : 6861 7.20/7.42 # Rewrite failures with RHS unbound : 0 7.20/7.42 # BW rewrite match attempts : 22114 7.20/7.42 # BW rewrite match successes : 183 7.20/7.42 # Condensation attempts : 0 7.20/7.42 # Condensation successes : 0 7.20/7.42 # Termbank termtop insertions : 22787867 7.20/7.44 7.20/7.44 # ------------------------------------------------- 7.20/7.44 # User time : 6.867 s 7.20/7.44 # System time : 0.212 s 7.20/7.44 # Total time : 7.079 s 7.20/7.44 # Maximum resident set size: 1816 pages 7.20/7.44 EOF