0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.37 % Computer : n023.cluster.edu 0.10/0.37 % Model : x86_64 x86_64 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.37 % Memory : 8046.5625MB 0.10/0.37 % OS : Linux 6.8.0-71-generic 0.10/0.37 % CPULimit : 1440 0.10/0.37 % WCLimit : 180 0.10/0.37 % DateTime : Mon Jul 27 11:06:36 UTC 2026 0.10/0.38 % CPUTime : 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.42 Running higher-order theorem proving 0.10/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.UDT1uTjCRt/E---3.1_813265.p 2.85/0.93 % Version: 3.5.1-ho 2.85/0.93 % Preprocessing class: HSMSSMSSSSSNHHN. 2.85/0.93 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 2.85/0.93 % Starting new_ho_12 with 720s (4) cores 2.85/0.93 % Starting sh3l with 360s (2) cores 2.85/0.93 % Starting ehoh_best5_lambda with 180s (1) cores 2.85/0.93 % Starting lpo9_lambda_fix with 180s (1) cores 2.85/0.93 % sh3l with pid 813279 completed with status 9 2.85/0.93 % new_ho_12 with pid 813278 completed with status 0 2.85/0.93 % Result found by new_ho_12 2.85/0.93 % Preprocessing class: HSMSSMSSSSSNHHN. 2.85/0.93 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 2.85/0.93 % Starting new_ho_12 with 720s (4) cores 2.85/0.93 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 2.85/0.93 % No SInE strategy applied 2.85/0.93 % Search class: HGHSS-FFMF32-SHHFFMBN 2.85/0.93 % partial match(2): HGHNF-FFMF32-SHHFFMBN 2.85/0.93 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 2.85/0.93 % Starting SubtermCWHack with 65s (1) cores 2.85/0.93 % Starting new_ho_12 with 73s (1) cores 2.85/0.93 % Starting ehoh_best_sine_rwall with 109s (1) cores 2.85/0.93 % Starting lpo1_def_fix with 109s (1) cores 2.85/0.93 % new_ho_12 with pid 813292 completed with status 0 2.85/0.93 % Result found by new_ho_12 2.85/0.93 % Preprocessing class: HSMSSMSSSSSNHHN. 2.85/0.93 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 2.85/0.93 % Starting new_ho_12 with 720s (4) cores 2.85/0.93 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 2.85/0.93 % No SInE strategy applied 2.85/0.93 % Search class: HGHSS-FFMF32-SHHFFMBN 2.85/0.93 % partial match(2): HGHNF-FFMF32-SHHFFMBN 2.85/0.93 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 2.85/0.93 % Starting SubtermCWHack with 65s (1) cores 2.85/0.93 % Starting new_ho_12 with 73s (1) cores 2.85/0.93 % Preprocessing time : 0.003 s 2.85/0.93 % Presaturation interreduction done 2.85/0.93 2.85/0.93 % Proof found! 2.85/0.93 % SZS status Theorem 2.85/0.93 % SZS output start CNFRefutation 2.85/0.93 thf(decl_sort1, type, d_unsorted: $tType). 2.85/0.93 thf(decl_23, type, irel: $i > $i > $o). 2.85/0.93 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 2.85/0.93 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 2.85/0.93 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 2.85/0.93 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 2.85/0.93 thf(decl_28, type, mbox_s4: ($i > $o) > $i > $o). 2.85/0.93 thf(decl_29, type, iatom: ($i > $o) > $i > $o). 2.85/0.93 thf(decl_30, type, inot: ($i > $o) > $i > $o). 2.85/0.93 thf(decl_31, type, itrue: $i > $o). 2.85/0.93 thf(decl_32, type, ifalse: $i > $o). 2.85/0.93 thf(decl_33, type, iand: ($i > $o) > ($i > $o) > $i > $o). 2.85/0.93 thf(decl_34, type, ior: ($i > $o) > ($i > $o) > $i > $o). 2.85/0.93 thf(decl_35, type, iimplies: ($i > $o) > ($i > $o) > $i > $o). 2.85/0.93 thf(decl_36, type, iimplied: ($i > $o) > ($i > $o) > $i > $o). 2.85/0.93 thf(decl_37, type, iequiv: ($i > $o) > ($i > $o) > $i > $o). 2.85/0.93 thf(decl_38, type, ixor: ($i > $o) > ($i > $o) > $i > $o). 2.85/0.93 thf(decl_39, type, ivalid: ($i > $o) > $o). 2.85/0.93 thf(decl_40, type, isatisfiable: ($i > $o) > $o). 2.85/0.93 thf(decl_41, type, icountersatisfiable: ($i > $o) > $o). 2.85/0.93 thf(decl_42, type, iinvalid: ($i > $o) > $o). 2.85/0.93 thf(decl_43, type, d2unsorted: d_unsorted > $i). 2.85/0.93 thf(decl_44, type, d_unsorted_0: d_unsorted). 2.85/0.93 thf(decl_45, type, esk1_2: ($i > $o) > $i > $i). 2.85/0.93 thf(decl_46, type, esk2_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_47, type, esk3_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_48, type, esk4_4: ($i > $o) > ($i > $o) > $i > $i > $i). 2.85/0.93 thf(decl_49, type, esk5_5: ($i > $o) > ($i > $o) > $i > $i > $i > $i). 2.85/0.93 thf(decl_50, type, esk6_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_51, type, esk7_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_52, type, esk8_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_53, type, esk9_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_54, type, esk10_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_55, type, esk11_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_56, type, esk12_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_57, type, esk13_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_58, type, esk14_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_59, type, esk15_6: ($i > $o) > ($i > $o) > $i > $i > $i > $i > $i). 2.85/0.93 thf(decl_60, type, esk16_5: ($i > $o) > ($i > $o) > $i > $i > $i > $i). 2.85/0.93 thf(decl_61, type, esk17_1: ($i > $o) > $i). 2.85/0.93 thf(decl_62, type, esk18_1: ($i > $o) > $i). 2.85/0.93 thf(decl_63, type, esk19_1: ($i > $o) > $i). 2.85/0.93 thf(decl_64, type, esk20_1: ($i > $o) > $i). 2.85/0.93 thf(decl_65, type, esk21_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_66, type, esk22_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_67, type, esk23_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_68, type, esk24_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_69, type, esk25_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_70, type, esk26_3: ($i > $o) > ($i > $o) > $i > $i). 2.85/0.93 thf(decl_71, type, esk27_2: ($i > $o) > $i > $i). 2.85/0.93 thf(decl_72, type, esk28_1: $i > d_unsorted). 2.85/0.93 thf(decl_73, type, epred1_0: $i > $o). 2.85/0.93 thf(decl_74, type, epred2_0: $i > $o). 2.85/0.93 thf(decl_75, type, esk29_0: $i). 2.85/0.93 thf(decl_76, type, esk3_0: $i). 2.85/0.93 thf(lcl696_1, axiom, ((((((((((((((((((((((![X1:d_unsorted, X2:d_unsorted]:((((d2unsorted @ X1)=(d2unsorted @ X2))=>((X1)=(X2))))&((mnot)=(^[X3:$i > $o, X4:$i]:(~((X3 @ X4))))))&((mor)=(^[X3:$i > $o, X5:$i > $o, X4:$i]:((((X3 @ X4))|((X5 @ X4)))))))&((mbox_s4)=(^[X6:$i > $o, X7:$i]:(![X8:$i]:(((~((irel @ X7 @ X8)))|((X6 @ X8))))))))&((iatom)=(^[X6:$i > $o, X9:$i]:((X6 @ X9)))))&((ior)=(^[X6:$i > $o, X10:$i > $o, X9:$i]:(((![X11:$i]:(((~((irel @ X9 @ X11)))|((X6 @ X11)))))|(![X12:$i]:(((~((irel @ X9 @ X12)))|((X10 @ X12))))))))))&((iequiv)=(^[X6:$i > $o, X10:$i > $o, X9:$i]:(((![X13:$i, X14:$i]:(((((((~((irel @ X13 @ X14)))|((X6 @ X14))))|(~(![X15:$i]:((((X10 @ X15))|(~((irel @ X13 @ X15)))))))))|(~((irel @ X9 @ X13))))))&(![X16:$i, X17:$i]:(((((((~((irel @ X9 @ X16)))|(~(![X18:$i]:(((~((irel @ X16 @ X18)))|((X6 @ X18))))))))|(~((irel @ X16 @ X17)))))|((X10 @ X17))))))))))&((ixor)=(^[X6:$i > $o, X10:$i > $o, X9:$i]:(~(![X19:$i, X20:$i, X21:$i, X22:$i, X23:$i]:(((((((((((~((irel @ X19 @ X20)))|(~(![X18:$i]:((((X6 @ X18))|(~((irel @ X20 @ X18)))))))))|(~((irel @ X20 @ X21)))))|((X10 @ X21))))&(((((((~((irel @ X22 @ X23)))|((X6 @ X23))))|(~(![X15:$i]:(((~((irel @ X22 @ X15)))|((X10 @ X15))))))))|(~((irel @ X19 @ X22)))))))|(~((irel @ X9 @ X19))))))))))&((ivalid)=(^[X24:$i > $o]:(![X25:$i]:((X24 @ X25))))))&((isatisfiable)=(^[X24:$i > $o]:(~(![X25:$i]:(~((X24 @ X25))))))))&((iinvalid)=(^[X24:$i > $o]:(![X25:$i]:(~((X24 @ X25)))))))&(irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)))&~((ifalse @ (d2unsorted @ d_unsorted_0))))&(itrue @ (d2unsorted @ d_unsorted_0)))&((icountersatisfiable)=(^[X24:$i > $o]:(~(![X25:$i]:((X24 @ X25)))))))&((iimplied)=(^[X6:$i > $o, X10:$i > $o, X9:$i]:(((~(![X26:$i]:((((X10 @ X26))|(~((irel @ X9 @ X26)))))))|(![X27:$i]:((((X6 @ X27))|(~((irel @ X9 @ X27)))))))))))&((iimplies)=(^[X6:$i > $o, X10:$i > $o, X9:$i]:(((~(![X28:$i]:(((~((irel @ X9 @ X28)))|((X6 @ X28))))))|(![X29:$i]:(((~((irel @ X9 @ X29)))|((X10 @ X29))))))))))&((iand)=(^[X6:$i > $o, X10:$i > $o, X9:$i]:(((![X30:$i]:((((X10 @ X30))|(~((irel @ X9 @ X30))))))&(![X31:$i]:(((~((irel @ X9 @ X31)))|((X6 @ X31))))))))))&((inot)=(^[X6:$i > $o, X9:$i]:(~(![X32:$i]:((((X6 @ X32))|(~((irel @ X9 @ X32))))))))))&((mimplies)=(^[X33:$i > $o, X34:$i > $o, X9:$i]:((((X34 @ X9))|(~((X33 @ X9))))))))&((mand)=(^[X3:$i > $o, X5:$i > $o, X4:$i]:((((X5 @ X4))&((X3 @ X4)))))))&![X35:d_unsorted]:(((X35)=(d_unsorted_0))))&![X4:$i]:(?[X35:d_unsorted]:(((X4)=(d2unsorted @ X35))))), file('/export/starexec/sandbox2/tmp/tmp.UDT1uTjCRt/E---3.1_813265.p', lcl696_1)). 2.85/0.93 thf(iimplies, conjecture, ((iimplies)=(^[X6:$i > $o, X10:$i > $o]:(mimplies @ (mbox_s4 @ X6) @ (mbox_s4 @ X10)))), file('/export/starexec/sandbox2/tmp/tmp.UDT1uTjCRt/E---3.1_813265.p', iimplies)). 2.85/0.93 thf(c_0_2, plain, ((((((((((((((((((((((![X1:d_unsorted, X2:d_unsorted]:((((d2unsorted @ X1)=(d2unsorted @ X2))=>((X1)=(X2))))&![X41:$i > $o, X42:$i]:(((mnot @ X41 @ X42)<=>~((X41 @ X42)))))&![X43:$i > $o, X44:$i > $o, X45:$i]:(((mor @ X43 @ X44 @ X45)<=>((X43 @ X45)|(X44 @ X45)))))&![X46:$i > $o, X47:$i]:(((mbox_s4 @ X46 @ X47)<=>![X8:$i]:((~(irel @ X47 @ X8)|(X46 @ X8))))))&![X48:$i > $o, X49:$i]:(((iatom @ X48 @ X49)<=>(X48 @ X49))))&![X50:$i > $o, X51:$i > $o, X52:$i]:(((ior @ X50 @ X51 @ X52)<=>(![X11:$i]:((~(irel @ X52 @ X11)|(X50 @ X11)))|![X12:$i]:((~(irel @ X52 @ X12)|(X51 @ X12)))))))&![X53:$i > $o, X54:$i > $o, X55:$i]:(((iequiv @ X53 @ X54 @ X55)<=>(![X13:$i, X14:$i]:((~(irel @ X13 @ X14)|(X53 @ X14)|~(![X15:$i]:(((X54 @ X15)|~(irel @ X13 @ X15))))|~(irel @ X55 @ X13)))&![X16:$i, X17:$i]:((~(irel @ X55 @ X16)|~(![X18:$i]:((~(irel @ X16 @ X18)|(X53 @ X18))))|~(irel @ X16 @ X17)|(X54 @ X17)))))))&![X56:$i > $o, X57:$i > $o, X58:$i]:(((ixor @ X56 @ X57 @ X58)<=>~(![X19:$i, X20:$i, X21:$i, X22:$i, X23:$i]:((((~(irel @ X19 @ X20)|~(![X18:$i]:(((X56 @ X18)|~(irel @ X20 @ X18))))|~(irel @ X20 @ X21)|(X57 @ X21))&(~(irel @ X22 @ X23)|(X56 @ X23)|~(![X15:$i]:((~(irel @ X22 @ X15)|(X57 @ X15))))|~(irel @ X19 @ X22)))|~(irel @ X58 @ X19)))))))&![X59:$i > $o]:(((ivalid @ X59)<=>![X25:$i]:((X59 @ X25)))))&![X60:$i > $o]:(((isatisfiable @ X60)<=>~(![X25:$i]:(~((X60 @ X25)))))))&![X61:$i > $o]:(((iinvalid @ X61)<=>![X25:$i]:(~((X61 @ X25))))))&(irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)))&~(ifalse @ (d2unsorted @ d_unsorted_0)))&(itrue @ (d2unsorted @ d_unsorted_0)))&![X62:$i > $o]:(((icountersatisfiable @ X62)<=>~(![X25:$i]:((X62 @ X25))))))&![X63:$i > $o, X64:$i > $o, X65:$i]:(((iimplied @ X63 @ X64 @ X65)<=>(~(![X26:$i]:(((X64 @ X26)|~(irel @ X65 @ X26))))|![X27:$i]:(((X63 @ X27)|~(irel @ X65 @ X27)))))))&![X66:$i > $o, X67:$i > $o, X68:$i]:(((iimplies @ X66 @ X67 @ X68)<=>(~(![X28:$i]:((~(irel @ X68 @ X28)|(X66 @ X28))))|![X29:$i]:((~(irel @ X68 @ X29)|(X67 @ X29)))))))&![X69:$i > $o, X70:$i > $o, X71:$i]:(((iand @ X69 @ X70 @ X71)<=>(![X30:$i]:(((X70 @ X30)|~(irel @ X71 @ X30)))&![X31:$i]:((~(irel @ X71 @ X31)|(X69 @ X31)))))))&![X72:$i > $o, X73:$i]:(((inot @ X72 @ X73)<=>~(![X32:$i]:(((X72 @ X32)|~(irel @ X73 @ X32)))))))&![X74:$i > $o, X75:$i > $o, X76:$i]:(((mimplies @ X74 @ X75 @ X76)<=>((X75 @ X76)|~((X74 @ X76))))))&![X77:$i > $o, X78:$i > $o, X79:$i]:(((mand @ X77 @ X78 @ X79)<=>((X78 @ X79)&(X77 @ X79)))))&![X35:d_unsorted]:(((X35)=(d_unsorted_0))))&![X4:$i]:(?[X35:d_unsorted]:(((X4)=(d2unsorted @ X35))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[lcl696_1])])])). 2.85/0.93 thf(c_0_3, plain, ![X82:d_unsorted, X83:d_unsorted, X84:$i > $o, X85:$i, X86:$i > $o, X87:$i > $o, X88:$i, X89:$i > $o, X90:$i, X91:$i, X92:$i > $o, X93:$i, X95:$i > $o, X96:$i, X97:$i > $o, X98:$i > $o, X99:$i, X100:$i, X101:$i, X102:$i > $o, X103:$i > $o, X104:$i, X107:$i > $o, X108:$i > $o, X109:$i, X110:$i, X111:$i, X113:$i, X114:$i, X116:$i > $o, X117:$i > $o, X118:$i, X121:$i, X124:$i, X125:$i > $o, X126:$i > $o, X127:$i, X131:$i, X134:$i, X135:$i > $o, X136:$i > $o, X137:$i, X138:$i, X139:$i, X140:$i, X142:$i, X143:$i, X145:$i > $o, X146:$i, X147:$i > $o, X149:$i > $o, X151:$i > $o, X152:$i, X153:$i > $o, X154:$i, X155:$i > $o, X157:$i > $o, X159:$i > $o, X160:$i, X161:$i > $o, X162:$i > $o, X163:$i, X165:$i, X166:$i > $o, X167:$i > $o, X168:$i, X169:$i, X171:$i > $o, X172:$i > $o, X173:$i, X175:$i, X176:$i > $o, X177:$i > $o, X178:$i, X179:$i, X181:$i > $o, X182:$i > $o, X183:$i, X184:$i, X185:$i, X186:$i > $o, X187:$i > $o, X188:$i, X191:$i > $o, X192:$i, X194:$i > $o, X195:$i, X196:$i, X197:$i > $o, X198:$i > $o, X199:$i, X200:$i > $o, X201:$i > $o, X202:$i, X203:d_unsorted, X204:$i]:((((((((((((((((((((((((((d2unsorted @ X82)!=(d2unsorted @ X83))|((X82)=(X83)))&((~(mnot @ X84 @ X85)|~(X84 @ X85))&((X84 @ X85)|(mnot @ X84 @ X85))))&((~(mor @ X86 @ X87 @ X88)|((X86 @ X88)|(X87 @ X88)))&((~(X86 @ X88)|(mor @ X86 @ X87 @ X88))&(~(X87 @ X88)|(mor @ X86 @ X87 @ X88)))))&((~(mbox_s4 @ X89 @ X90)|(~(irel @ X90 @ X91)|(X89 @ X91)))&(((irel @ X93 @ (esk1_2 @ X92 @ X93))|(mbox_s4 @ X92 @ X93))&(~(X92 @ (esk1_2 @ X92 @ X93))|(mbox_s4 @ X92 @ X93)))))&((~(iatom @ X95 @ X96)|(X95 @ X96))&(~(X95 @ X96)|(iatom @ X95 @ X96))))&((~(ior @ X97 @ X98 @ X99)|(~(irel @ X99 @ X100)|(X97 @ X100)|(~(irel @ X99 @ X101)|(X98 @ X101))))&((((irel @ X104 @ (esk2_3 @ X102 @ X103 @ X104))|(ior @ X102 @ X103 @ X104))&(~(X102 @ (esk2_3 @ X102 @ X103 @ X104))|(ior @ X102 @ X103 @ X104)))&(((irel @ X104 @ (esk3_3 @ X102 @ X103 @ X104))|(ior @ X102 @ X103 @ X104))&(~(X103 @ (esk3_3 @ X102 @ X103 @ X104))|(ior @ X102 @ X103 @ X104))))))&((((~(X108 @ (esk4_4 @ X107 @ X108 @ X109 @ X110))|(~(irel @ X110 @ X111)|(X107 @ X111))|~(irel @ X109 @ X110)|~(iequiv @ X107 @ X108 @ X109))&((irel @ X110 @ (esk4_4 @ X107 @ X108 @ X109 @ X110))|(~(irel @ X110 @ X111)|(X107 @ X111))|~(irel @ X109 @ X110)|~(iequiv @ X107 @ X108 @ X109)))&(((irel @ X113 @ (esk5_5 @ X107 @ X108 @ X109 @ X113 @ X114))|~(irel @ X109 @ X113)|~(irel @ X113 @ X114)|(X108 @ X114)|~(iequiv @ X107 @ X108 @ X109))&(~(X107 @ (esk5_5 @ X107 @ X108 @ X109 @ X113 @ X114))|~(irel @ X109 @ X113)|~(irel @ X113 @ X114)|(X108 @ X114)|~(iequiv @ X107 @ X108 @ X109))))&((((((((irel @ X118 @ (esk8_3 @ X116 @ X117 @ X118))|(irel @ (esk6_3 @ X116 @ X117 @ X118) @ (esk7_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118))&(~(irel @ (esk8_3 @ X116 @ X117 @ X118) @ X124)|(X116 @ X124)|(irel @ (esk6_3 @ X116 @ X117 @ X118) @ (esk7_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118)))&((irel @ (esk8_3 @ X116 @ X117 @ X118) @ (esk9_3 @ X116 @ X117 @ X118))|(irel @ (esk6_3 @ X116 @ X117 @ X118) @ (esk7_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118)))&(~(X117 @ (esk9_3 @ X116 @ X117 @ X118))|(irel @ (esk6_3 @ X116 @ X117 @ X118) @ (esk7_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118)))&(((((irel @ X118 @ (esk8_3 @ X116 @ X117 @ X118))|~(X116 @ (esk7_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118))&(~(irel @ (esk8_3 @ X116 @ X117 @ X118) @ X124)|(X116 @ X124)|~(X116 @ (esk7_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118)))&((irel @ (esk8_3 @ X116 @ X117 @ X118) @ (esk9_3 @ X116 @ X117 @ X118))|~(X116 @ (esk7_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118)))&(~(X117 @ (esk9_3 @ X116 @ X117 @ X118))|~(X116 @ (esk7_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118))))&(((((irel @ X118 @ (esk8_3 @ X116 @ X117 @ X118))|((X117 @ X121)|~(irel @ (esk6_3 @ X116 @ X117 @ X118) @ X121))|(iequiv @ X116 @ X117 @ X118))&(~(irel @ (esk8_3 @ X116 @ X117 @ X118) @ X124)|(X116 @ X124)|((X117 @ X121)|~(irel @ (esk6_3 @ X116 @ X117 @ X118) @ X121))|(iequiv @ X116 @ X117 @ X118)))&((irel @ (esk8_3 @ X116 @ X117 @ X118) @ (esk9_3 @ X116 @ X117 @ X118))|((X117 @ X121)|~(irel @ (esk6_3 @ X116 @ X117 @ X118) @ X121))|(iequiv @ X116 @ X117 @ X118)))&(~(X117 @ (esk9_3 @ X116 @ X117 @ X118))|((X117 @ X121)|~(irel @ (esk6_3 @ X116 @ X117 @ X118) @ X121))|(iequiv @ X116 @ X117 @ X118))))&(((((irel @ X118 @ (esk8_3 @ X116 @ X117 @ X118))|(irel @ X118 @ (esk6_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118))&(~(irel @ (esk8_3 @ X116 @ X117 @ X118) @ X124)|(X116 @ X124)|(irel @ X118 @ (esk6_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118)))&((irel @ (esk8_3 @ X116 @ X117 @ X118) @ (esk9_3 @ X116 @ X117 @ X118))|(irel @ X118 @ (esk6_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118)))&(~(X117 @ (esk9_3 @ X116 @ X117 @ X118))|(irel @ X118 @ (esk6_3 @ X116 @ X117 @ X118))|(iequiv @ X116 @ X117 @ X118))))))&((((((((((irel @ (esk13_3 @ X125 @ X126 @ X127) @ (esk14_3 @ X125 @ X126 @ X127))|(irel @ (esk10_3 @ X125 @ X126 @ X127) @ (esk11_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127))&(~(X125 @ (esk14_3 @ X125 @ X126 @ X127))|(irel @ (esk10_3 @ X125 @ X126 @ X127) @ (esk11_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127)))&(~(irel @ (esk13_3 @ X125 @ X126 @ X127) @ X134)|(X126 @ X134)|(irel @ (esk10_3 @ X125 @ X126 @ X127) @ (esk11_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127)))&((irel @ (esk10_3 @ X125 @ X126 @ X127) @ (esk13_3 @ X125 @ X126 @ X127))|(irel @ (esk10_3 @ X125 @ X126 @ X127) @ (esk11_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127)))&(((((irel @ (esk13_3 @ X125 @ X126 @ X127) @ (esk14_3 @ X125 @ X126 @ X127))|((X125 @ X131)|~(irel @ (esk11_3 @ X125 @ X126 @ X127) @ X131))|~(ixor @ X125 @ X126 @ X127))&(~(X125 @ (esk14_3 @ X125 @ X126 @ X127))|((X125 @ X131)|~(irel @ (esk11_3 @ X125 @ X126 @ X127) @ X131))|~(ixor @ X125 @ X126 @ X127)))&(~(irel @ (esk13_3 @ X125 @ X126 @ X127) @ X134)|(X126 @ X134)|((X125 @ X131)|~(irel @ (esk11_3 @ X125 @ X126 @ X127) @ X131))|~(ixor @ X125 @ X126 @ X127)))&((irel @ (esk10_3 @ X125 @ X126 @ X127) @ (esk13_3 @ X125 @ X126 @ X127))|((X125 @ X131)|~(irel @ (esk11_3 @ X125 @ X126 @ X127) @ X131))|~(ixor @ X125 @ X126 @ X127))))&(((((irel @ (esk13_3 @ X125 @ X126 @ X127) @ (esk14_3 @ X125 @ X126 @ X127))|(irel @ (esk11_3 @ X125 @ X126 @ X127) @ (esk12_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127))&(~(X125 @ (esk14_3 @ X125 @ X126 @ X127))|(irel @ (esk11_3 @ X125 @ X126 @ X127) @ (esk12_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127)))&(~(irel @ (esk13_3 @ X125 @ X126 @ X127) @ X134)|(X126 @ X134)|(irel @ (esk11_3 @ X125 @ X126 @ X127) @ (esk12_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127)))&((irel @ (esk10_3 @ X125 @ X126 @ X127) @ (esk13_3 @ X125 @ X126 @ X127))|(irel @ (esk11_3 @ X125 @ X126 @ X127) @ (esk12_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127))))&(((((irel @ (esk13_3 @ X125 @ X126 @ X127) @ (esk14_3 @ X125 @ X126 @ X127))|~(X126 @ (esk12_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127))&(~(X125 @ (esk14_3 @ X125 @ X126 @ X127))|~(X126 @ (esk12_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127)))&(~(irel @ (esk13_3 @ X125 @ X126 @ X127) @ X134)|(X126 @ X134)|~(X126 @ (esk12_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127)))&((irel @ (esk10_3 @ X125 @ X126 @ X127) @ (esk13_3 @ X125 @ X126 @ X127))|~(X126 @ (esk12_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127))))&((irel @ X127 @ (esk10_3 @ X125 @ X126 @ X127))|~(ixor @ X125 @ X126 @ X127)))&(((~(X135 @ (esk15_6 @ X135 @ X136 @ X137 @ X138 @ X139 @ X140))|~(irel @ X138 @ X139)|~(irel @ X139 @ X140)|(X136 @ X140)|~(irel @ X137 @ X138)|(ixor @ X135 @ X136 @ X137))&((irel @ X139 @ (esk15_6 @ X135 @ X136 @ X137 @ X138 @ X139 @ X140))|~(irel @ X138 @ X139)|~(irel @ X139 @ X140)|(X136 @ X140)|~(irel @ X137 @ X138)|(ixor @ X135 @ X136 @ X137)))&(((irel @ X142 @ (esk16_5 @ X135 @ X136 @ X137 @ X138 @ X142))|(~(irel @ X142 @ X143)|(X135 @ X143))|~(irel @ X138 @ X142)|~(irel @ X137 @ X138)|(ixor @ X135 @ X136 @ X137))&(~(X136 @ (esk16_5 @ X135 @ X136 @ X137 @ X138 @ X142))|(~(irel @ X142 @ X143)|(X135 @ X143))|~(irel @ X138 @ X142)|~(irel @ X137 @ X138)|(ixor @ X135 @ X136 @ X137))))))&((~(ivalid @ X145)|(X145 @ X146))&(~(X147 @ (esk17_1 @ X147))|(ivalid @ X147))))&((~(isatisfiable @ X149)|(X149 @ (esk18_1 @ X149)))&(~(X151 @ X152)|(isatisfiable @ X151))))&((~(iinvalid @ X153)|~(X153 @ X154))&((X155 @ (esk19_1 @ X155))|(iinvalid @ X155))))&(irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)))&~(ifalse @ (d2unsorted @ d_unsorted_0)))&(itrue @ (d2unsorted @ d_unsorted_0)))&((~(icountersatisfiable @ X157)|~(X157 @ (esk20_1 @ X157)))&((X159 @ X160)|(icountersatisfiable @ X159))))&(((~(X162 @ (esk21_3 @ X161 @ X162 @ X163))|((X161 @ X165)|~(irel @ X163 @ X165))|~(iimplied @ X161 @ X162 @ X163))&((irel @ X163 @ (esk21_3 @ X161 @ X162 @ X163))|((X161 @ X165)|~(irel @ X163 @ X165))|~(iimplied @ X161 @ X162 @ X163)))&(((X167 @ X169)|~(irel @ X168 @ X169)|(iimplied @ X166 @ X167 @ X168))&((~(X166 @ (esk22_3 @ X166 @ X167 @ X168))|(iimplied @ X166 @ X167 @ X168))&((irel @ X168 @ (esk22_3 @ X166 @ X167 @ X168))|(iimplied @ X166 @ X167 @ X168))))))&((((irel @ X173 @ (esk23_3 @ X171 @ X172 @ X173))|(~(irel @ X173 @ X175)|(X172 @ X175))|~(iimplies @ X171 @ X172 @ X173))&(~(X171 @ (esk23_3 @ X171 @ X172 @ X173))|(~(irel @ X173 @ X175)|(X172 @ X175))|~(iimplies @ X171 @ X172 @ X173)))&((~(irel @ X178 @ X179)|(X176 @ X179)|(iimplies @ X176 @ X177 @ X178))&(((irel @ X178 @ (esk24_3 @ X176 @ X177 @ X178))|(iimplies @ X176 @ X177 @ X178))&(~(X177 @ (esk24_3 @ X176 @ X177 @ X178))|(iimplies @ X176 @ X177 @ X178))))))&((((X182 @ X184)|~(irel @ X183 @ X184)|~(iand @ X181 @ X182 @ X183))&(~(irel @ X183 @ X185)|(X181 @ X185)|~(iand @ X181 @ X182 @ X183)))&((((irel @ X188 @ (esk26_3 @ X186 @ X187 @ X188))|~(X187 @ (esk25_3 @ X186 @ X187 @ X188))|(iand @ X186 @ X187 @ X188))&(~(X186 @ (esk26_3 @ X186 @ X187 @ X188))|~(X187 @ (esk25_3 @ X186 @ X187 @ X188))|(iand @ X186 @ X187 @ X188)))&(((irel @ X188 @ (esk26_3 @ X186 @ X187 @ X188))|(irel @ X188 @ (esk25_3 @ X186 @ X187 @ X188))|(iand @ X186 @ X187 @ X188))&(~(X186 @ (esk26_3 @ X186 @ X187 @ X188))|(irel @ X188 @ (esk25_3 @ X186 @ X187 @ X188))|(iand @ X186 @ X187 @ X188))))))&(((~(X191 @ (esk27_2 @ X191 @ X192))|~(inot @ X191 @ X192))&((irel @ X192 @ (esk27_2 @ X191 @ X192))|~(inot @ X191 @ X192)))&((X194 @ X196)|~(irel @ X195 @ X196)|(inot @ X194 @ X195))))&((~(mimplies @ X197 @ X198 @ X199)|((X198 @ X199)|~(X197 @ X199)))&((~(X198 @ X199)|(mimplies @ X197 @ X198 @ X199))&((X197 @ X199)|(mimplies @ X197 @ X198 @ X199)))))&((((X201 @ X202)|~(mand @ X200 @ X201 @ X202))&((X200 @ X202)|~(mand @ X200 @ X201 @ X202)))&(~(X201 @ X202)|~(X200 @ X202)|(mand @ X200 @ X201 @ X202))))&((X203)=(d_unsorted_0)))&((X204)=(d2unsorted @ (esk28_1 @ X204))))), inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[c_0_2])])])])])])])). 2.85/0.93 thf(c_0_4, negated_conjecture, ~(((iimplies)=(^[X6:$i > $o, X10:$i > $o]:(mimplies @ (mbox_s4 @ X6) @ (mbox_s4 @ X10))))), inference(assume_negation,[status(cth)],[iimplies])). 2.85/0.93 thf(c_0_5, plain, ![X4:$i]:(((X4)=(d2unsorted @ (esk28_1 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_6, plain, ![X1:d_unsorted]:(((X1)=(d_unsorted_0))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_7, negated_conjecture, ~(![X80:$i > $o, X81:$i > $o]:(((iimplies @ X80 @ X81)=(mimplies @ (mbox_s4 @ X80) @ (mbox_s4 @ X81))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])). 2.85/0.93 thf(c_0_8, plain, ![X4:$i]:(((d2unsorted @ d_unsorted_0)=(X4))), inference(rw,[status(thm)],[c_0_5, c_0_6])). 2.85/0.93 thf(c_0_9, negated_conjecture, ((iimplies @ epred1_0 @ epred2_0)!=(mimplies @ (mbox_s4 @ epred1_0) @ (mbox_s4 @ epred2_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])). 2.85/0.93 thf(c_0_10, plain, ![X3:$i > $o]:((~((icountersatisfiable @ X3))|~((X3 @ (esk20_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_11, plain, ![X3:$i > $o]:(((X3 @ (esk19_1 @ X3))|(iinvalid @ X3))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_12, plain, (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_13, plain, ![X4:$i]:(((esk29_0)=(X4))), inference(rw,[status(thm)],[c_0_8, c_0_8])). 2.85/0.93 thf(c_0_14, plain, ![X3:$i > $o, X4:$i]:((~((mnot @ X3 @ X4))|~((X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_15, plain, ![X4:$i, X3:$i > $o]:(((X3 @ X4)|(icountersatisfiable @ X3))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_16, plain, ![X3:$i > $o, X4:$i]:(((mbox_s4 @ X3 @ X4)|~((X3 @ (esk1_2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_17, negated_conjecture, ((iimplies @ epred1_0 @ epred2_0)!=(mimplies @ (mbox_s4 @ epred1_0) @ (mbox_s4 @ epred2_0))), inference(split_conjunct,[status(thm)],[c_0_9])). 2.85/0.93 thf(c_0_18, plain, ![X3:$i > $o]:((~((icountersatisfiable @ X3))|~((X3 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_8]), c_0_8])). 2.85/0.93 thf(c_0_19, plain, ![X3:$i > $o, X4:$i]:((~((iinvalid @ X3))|~((X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_20, plain, ![X3:$i > $o]:(((X3 @ esk29_0)|(iinvalid @ X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_8]), c_0_8])). 2.85/0.93 thf(c_0_21, plain, (irel @ esk29_0 @ esk29_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_8]), c_0_8])). 2.85/0.93 thf(c_0_22, plain, ![X4:$i, X7:$i]:(((X4)=(X7))), inference(spm,[status(thm)],[c_0_13, c_0_13])). 2.85/0.93 thf(c_0_23, plain, ![X3:$i > $o, X4:$i]:(((icountersatisfiable @ (mnot @ X3))|~((X3 @ X4)))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 2.85/0.93 thf(c_0_24, plain, ![X4:$i, X3:$i > $o]:(((mbox_s4 @ X3 @ X4)|~((X3 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_8]), c_0_8])). 2.85/0.93 thf(c_0_25, negated_conjecture, ((mimplies @ (mbox_s4 @ epred1_0) @ (mbox_s4 @ epred2_0) @ esk3_0)<~>(iimplies @ epred1_0 @ epred2_0 @ esk3_0)), inference(neg_ext,[status(thm)],[c_0_17])). 2.85/0.93 thf(c_0_26, plain, ![X4:$i, X3:$i > $o]:(((X3 @ X4)|~((X3 @ esk29_0)))), inference(spm,[status(thm)],[c_0_18, c_0_15])). 2.85/0.93 thf(c_0_27, plain, ![X3:$i > $o, X4:$i]:(((X3 @ esk29_0)|~((X3 @ X4)))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 2.85/0.93 thf(c_0_28, plain, ![X4:$i]:((irel @ X4 @ X4)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 2.85/0.93 thf(c_0_29, plain, ![X3:$i > $o]:(((icountersatisfiable @ (mnot @ (mbox_s4 @ X3)))|~((X3 @ esk29_0)))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 2.85/0.93 thf(c_0_30, negated_conjecture, (~((mimplies @ (mbox_s4 @ epred1_0) @ (mbox_s4 @ epred2_0) @ esk3_0))|~((iimplies @ epred1_0 @ epred2_0 @ esk3_0))), inference(dynamic_cnf,[status(thm)],[c_0_25])). 2.85/0.93 thf(c_0_31, plain, ![X3:$i > $o, X4:$i, X7:$i]:(((X3 @ X4)|~((X3 @ X7)))), inference(spm,[status(thm)],[c_0_26, c_0_22])). 2.85/0.93 thf(c_0_32, plain, ![X3:$i > $o, X5:$i > $o, X4:$i]:(((X3 @ X4)|(mimplies @ X3 @ X5 @ X4))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_33, plain, ![X4:$i]:((irel @ X4 @ esk29_0)), inference(spm,[status(thm)],[c_0_27, c_0_28])). 2.85/0.93 thf(c_0_34, plain, ![X3:$i > $o]:((~((mnot @ (mbox_s4 @ X3) @ esk29_0))|~((X3 @ esk29_0)))), inference(spm,[status(thm)],[c_0_18, c_0_29])). 2.85/0.93 thf(c_0_35, plain, ![X3:$i > $o, X4:$i]:(((X3 @ X4)|(mnot @ X3 @ X4))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_36, plain, ![X3:$i > $o, X7:$i, X5:$i > $o, X4:$i]:(((X5 @ X7)|~((X3 @ (esk23_3 @ X3 @ X5 @ X4)))|~((irel @ X4 @ X7))|~((iimplies @ X3 @ X5 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_37, negated_conjecture, ![X4:$i]:((~((mimplies @ (mbox_s4 @ epred1_0) @ (mbox_s4 @ epred2_0) @ X4))|~((iimplies @ epred1_0 @ epred2_0 @ X4)))), inference(spm,[status(thm)],[c_0_30, c_0_22])). 2.85/0.93 thf(c_0_38, plain, ![X3:$i > $o, X4:$i, X5:$i > $o, X7:$i]:(((mimplies @ X3 @ X5 @ X4)|(X3 @ X7))), inference(spm,[status(thm)],[c_0_31, c_0_32])). 2.85/0.93 thf(c_0_39, plain, ![X3:$i > $o, X4:$i, X5:$i > $o, X7:$i]:(((X3 @ X7)|(iimplies @ X3 @ X5 @ X4)|~((irel @ X4 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_40, plain, ![X4:$i, X7:$i]:((irel @ X4 @ X7)), inference(spm,[status(thm)],[c_0_33, c_0_22])). 2.85/0.93 thf(c_0_41, plain, ![X3:$i > $o, X4:$i]:((~((mnot @ (mbox_s4 @ X3) @ X4))|~((X3 @ X4)))), inference(spm,[status(thm)],[c_0_34, c_0_22])). 2.85/0.93 thf(c_0_42, plain, ![X3:$i > $o, X4:$i, X7:$i]:(((mnot @ X3 @ X4)|(X3 @ X7))), inference(spm,[status(thm)],[c_0_31, c_0_35])). 2.85/0.93 thf(c_0_43, plain, ![X3:$i > $o, X5:$i > $o, X4:$i]:(((mimplies @ X5 @ X3 @ X4)|~((X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_44, plain, ![X3:$i > $o, X5:$i > $o, X4:$i]:(((iimplies @ X5 @ X3 @ X4)|~((X3 @ (esk24_3 @ X5 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_45, plain, ![X3:$i > $o, X4:$i, X7:$i, X5:$i > $o]:(((X3 @ X4)|~((iimplies @ X5 @ X3 @ X7))|~((irel @ X7 @ X4))|~((X5 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_8]), c_0_8])). 2.85/0.93 thf(c_0_46, plain, ![X3:$i > $o, X4:$i, X7:$i]:(((X3 @ X7)|~((mbox_s4 @ X3 @ X4))|~((irel @ X4 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_47, negated_conjecture, ![X4:$i, X7:$i]:(((mbox_s4 @ epred1_0 @ X4)|~((iimplies @ epred1_0 @ epred2_0 @ X7)))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 2.85/0.93 thf(c_0_48, plain, ![X3:$i > $o, X4:$i, X5:$i > $o, X7:$i]:(((iimplies @ X3 @ X5 @ X4)|(X3 @ X7))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])). 2.85/0.93 thf(c_0_49, plain, ![X3:$i > $o, X4:$i, X7:$i]:(((mbox_s4 @ X3 @ X4)|~((X3 @ X7)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 2.85/0.93 thf(c_0_50, negated_conjecture, ![X4:$i]:((~((iimplies @ epred1_0 @ epred2_0 @ X4))|~((mbox_s4 @ epred2_0 @ X4)))), inference(spm,[status(thm)],[c_0_37, c_0_43])). 2.85/0.93 thf(c_0_51, plain, ![X3:$i > $o, X4:$i, X5:$i > $o]:(((iimplies @ X3 @ X5 @ X4)|~((X5 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_8]), c_0_8])). 2.85/0.93 thf(c_0_52, plain, ![X3:$i > $o, X4:$i, X7:$i, X5:$i > $o]:(((X3 @ X4)|~((iimplies @ X5 @ X3 @ X7))|~((X5 @ esk29_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_40])])). 2.85/0.93 thf(c_0_53, plain, ![X3:$i > $o, X4:$i, X7:$i]:(((X3 @ X4)|~((mbox_s4 @ X3 @ X7)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_40])])). 2.85/0.93 thf(c_0_54, negated_conjecture, ![X4:$i]:((mbox_s4 @ epred1_0 @ X4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])). 2.85/0.93 thf(c_0_55, negated_conjecture, ~((epred2_0 @ esk29_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_24]), c_0_51])). 2.85/0.93 thf(c_0_56, plain, ![X5:$i > $o, X4:$i, X3:$i > $o]:(((icountersatisfiable @ (iimplies @ X3 @ X5))|(X5 @ X4)|~((X3 @ esk29_0)))), inference(spm,[status(thm)],[c_0_52, c_0_15])). 2.85/0.93 thf(c_0_57, negated_conjecture, ![X4:$i]:((epred1_0 @ X4)), inference(spm,[status(thm)],[c_0_53, c_0_54])). 2.85/0.93 thf(c_0_58, negated_conjecture, ![X4:$i]:(~((epred2_0 @ X4))), inference(spm,[status(thm)],[c_0_55, c_0_22])). 2.85/0.93 thf(c_0_59, negated_conjecture, ![X3:$i > $o, X4:$i]:(((icountersatisfiable @ (iimplies @ epred1_0 @ X3))|(X3 @ X4))), inference(spm,[status(thm)],[c_0_56, c_0_57])). 2.85/0.93 thf(c_0_60, negated_conjecture, (icountersatisfiable @ (iimplies @ epred1_0 @ epred2_0)), inference(spm,[status(thm)],[c_0_58, c_0_59])). 2.85/0.93 thf(c_0_61, plain, ![X3:$i > $o, X4:$i]:(((icountersatisfiable @ (mbox_s4 @ X3))|(X3 @ X4))), inference(spm,[status(thm)],[c_0_53, c_0_15])). 2.85/0.93 thf(c_0_62, negated_conjecture, ~((iimplies @ epred1_0 @ epred2_0 @ esk29_0)), inference(spm,[status(thm)],[c_0_18, c_0_60])). 2.85/0.93 thf(c_0_63, negated_conjecture, (icountersatisfiable @ (mbox_s4 @ epred2_0)), inference(spm,[status(thm)],[c_0_58, c_0_61])). 2.85/0.93 thf(c_0_64, negated_conjecture, ((mimplies @ (mbox_s4 @ epred1_0) @ (mbox_s4 @ epred2_0) @ esk3_0)|(iimplies @ epred1_0 @ epred2_0 @ esk3_0)), inference(dynamic_cnf,[status(thm)],[c_0_25])). 2.85/0.93 thf(c_0_65, negated_conjecture, ![X4:$i]:(~((iimplies @ epred1_0 @ epred2_0 @ X4))), inference(spm,[status(thm)],[c_0_62, c_0_22])). 2.85/0.93 thf(c_0_66, negated_conjecture, ~((mbox_s4 @ epred2_0 @ esk29_0)), inference(spm,[status(thm)],[c_0_18, c_0_63])). 2.85/0.93 thf(c_0_67, plain, ![X3:$i > $o, X5:$i > $o, X4:$i]:(((X5 @ X4)|~((mimplies @ X3 @ X5 @ X4))|~((X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 2.85/0.93 thf(c_0_68, negated_conjecture, (mimplies @ (mbox_s4 @ epred1_0) @ (mbox_s4 @ epred2_0) @ esk3_0), inference(sr,[status(thm)],[c_0_64, c_0_65])). 2.85/0.93 thf(c_0_69, negated_conjecture, ![X4:$i]:(~((mbox_s4 @ epred2_0 @ X4))), inference(spm,[status(thm)],[c_0_66, c_0_22])). 2.85/0.93 thf(c_0_70, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_54])]), c_0_69]), ['proof']). 2.85/0.93 % SZS output end CNFRefutation 2.85/0.93 % Parsed axioms : 26 2.85/0.93 % Removed by relevancy pruning/SinE : 0 2.85/0.93 % Initial clauses : 120 2.85/0.93 % Removed in clause preprocessing : 24 2.85/0.93 % Initial clauses in saturation : 96 2.85/0.93 % Processed clauses : 1374 2.85/0.93 % ...of these trivial : 125 2.85/0.93 % ...subsumed : 278 2.85/0.93 % ...remaining for further processing : 971 2.85/0.93 % Other redundant clauses eliminated : 0 2.85/0.93 % Clauses deleted for lack of memory : 0 2.85/0.93 % Backward-subsumed : 139 2.85/0.93 % Backward-rewritten : 10 2.85/0.93 % Generated clauses : 32729 2.85/0.93 % ...of the previous two non-redundant : 31767 2.85/0.93 % ...aggressively subsumed : 0 2.85/0.93 % Contextual simplify-reflections : 3 2.85/0.93 % Paramodulations : 32715 2.85/0.93 % Factorizations : 10 2.85/0.93 % NegExts : 1 2.85/0.93 % Equation resolutions : 0 2.85/0.93 % Disequality decompositions : 0 2.85/0.93 % Total rewrite steps : 1332 2.85/0.93 % ...of those cached : 761 2.85/0.93 % Propositional unsat checks : 0 2.85/0.93 % Propositional check models : 0 2.85/0.93 % Propositional check unsatisfiable : 0 2.85/0.93 % Propositional clauses : 0 2.85/0.93 % Propositional clauses after purity: 0 2.85/0.93 % Propositional unsat core size : 0 2.85/0.93 % Propositional preprocessing time : 0.000 2.85/0.93 % Propositional encoding time : 0.000 2.85/0.93 % Propositional solver time : 0.000 2.85/0.93 % Success case prop preproc time : 0.000 2.85/0.93 % Success case prop encoding time : 0.000 2.85/0.93 % Success case prop solver time : 0.000 2.85/0.93 % Current number of processed clauses : 732 2.85/0.93 % Positive orientable unit clauses : 381 2.85/0.93 % Positive unorientable unit clauses: 2 2.85/0.93 % Negative unit clauses : 103 2.85/0.93 % Non-unit-clauses : 246 2.85/0.93 % Current number of unprocessed clauses: 30336 2.85/0.93 % ...number of literals in the above : 50360 2.85/0.93 % Current number of archived formulas : 0 2.85/0.93 % Current number of archived clauses : 239 2.85/0.93 % Clause-clause subsumption calls (NU) : 26649 2.85/0.93 % Rec. Clause-clause subsumption calls : 21076 2.85/0.93 % Non-unit clause-clause subsumptions : 150 2.85/0.93 % Unit Clause-clause subsumption calls : 18404 2.85/0.93 % Rewrite failures with RHS unbound : 0 2.85/0.93 % BW rewrite match attempts : 1162 2.85/0.93 % BW rewrite match successes : 18 2.85/0.93 % Condensation attempts : 0 2.85/0.93 % Condensation successes : 0 2.85/0.93 % Termbank termtop insertions : 316180 2.85/0.93 % Search garbage collected termcells : 2739 2.85/0.93 2.85/0.93 % ------------------------------------------------- 2.85/0.93 % User time : 0.436 s 2.85/0.93 % System time : 0.033 s 2.85/0.93 % Total time : 0.469 s 2.85/0.93 % Maximum resident set size: 4208 pages 2.85/0.93 2.85/0.93 % ------------------------------------------------- 2.85/0.93 % User time : 1.771 s 2.85/0.93 % System time : 0.149 s 2.85/0.93 % Total time : 1.920 s 2.85/0.93 % Maximum resident set size: 4608 pages 2.85/0.93 % E exiting 2.85/0.94 EOF