0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % 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 : n020.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 15:34:36 EDT 2021 0.13/0.35 % CPUTime : 0.20/0.35 % Number of cores: 8 0.20/0.35 % Python version: Python 3.6.8 0.20/0.35 # Version: 2.6rc1-ho 0.20/0.36 # No SInE strategy applied 0.20/0.36 # Trying AutoSched0 for 59 seconds 0.86/1.07 # AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr 0.86/1.07 # and selection function SelectMaxLComplexAvoidPosPred. 0.86/1.07 # 0.86/1.07 # Preprocessing time : 0.283 s 0.86/1.07 # Presaturation interreduction done 0.86/1.07 0.86/1.07 # Proof found! 0.86/1.07 # SZS status Theorem 0.86/1.07 # SZS output start CNFRefutation 0.86/1.07 thf(ax13, axiom, (c_not)=(^[X269:$o]:(X269=>c_False)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax13)). 0.86/1.07 thf(conj, conjecture, ![X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i, X11:(((($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i) > $i) > ($i > $i) > $i]:((![X7:$i, X12:$i, X13:$i > $i, X14:$i]:(X11 @ (^[X15:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:c_Empty) @ (^[X16:$i]:X13 @ X16))=(X13 @ (c_setsum @ (X10 @ (^[X17:$i, X18:$i]:X9 @ (^[X19:$i, X20:(($i > $i) > $i > $i) > $i > $i > $i]:c_Empty) @ (c_setsum @ c_Empty @ c_Empty)) @ (^[X21:$i]:X21) @ X12 @ c_Empty @ c_Empty) @ (X9 @ (^[X22:$i, X23:(($i > $i) > $i > $i) > $i > $i > $i]:X23 @ (^[X24:$i > $i, X25:$i]:c_Empty) @ X22 @ (X10 @ (^[X19:$i, X26:$i]:c_Empty) @ (^[X19:$i]:c_Empty) @ c_Empty @ c_Empty @ c_Empty)) @ c_Empty)))=>(![X7:$i, X27:($i > ($i > $i) > $i) > $i, X28:$i, X29:$i > $i]:(X10 @ (^[X30:$i, X18:$i]:c_Empty) @ (^[X31:$i]:X10 @ (^[X18:$i, X19:$i]:X10 @ (^[X32:$i, X33:$i]:c_Empty) @ (^[X34:$i]:c_Empty) @ (X8 @ (^[X35:$i > $i, X36:($i > $i > $i) > $i > $i, X37:$i, X38:$i > $i]:c_setsum @ c_Empty @ c_Empty) @ (^[X39:$i, X33:$i, X40:$i > $i]:X8 @ (^[X38:$i > $i, X41:($i > $i > $i) > $i > $i, X42:$i, X43:$i > $i]:c_Empty) @ (^[X44:$i, X45:$i, X46:$i > $i]:c_Empty))) @ (X29 @ X19) @ X19) @ (^[X18:$i]:X31) @ (X9 @ (^[X18:$i, X47:(($i > $i) > $i > $i) > $i > $i > $i]:c_Empty) @ (X10 @ (^[X18:$i, X19:$i]:c_Inj1 @ c_Empty) @ (^[X18:$i]:X9 @ (^[X19:$i, X20:(($i > $i) > $i > $i) > $i > $i > $i]:c_Empty) @ c_Empty) @ (X11 @ (^[X48:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:c_Empty) @ (^[X18:$i]:c_Empty)) @ (c_Inj1 @ c_Empty) @ (X8 @ (^[X49:$i > $i, X50:($i > $i > $i) > $i > $i, X51:$i, X52:$i > $i]:c_Empty) @ (^[X18:$i, X19:$i, X53:$i > $i]:c_Empty)))) @ (X29 @ c_Empty) @ c_Empty) @ X7 @ (X8 @ (^[X54:$i > $i, X55:($i > $i > $i) > $i > $i, X19:$i, X56:$i > $i]:c_Inj0 @ c_Empty) @ (^[X57:$i, X18:$i, X58:$i > $i]:c_Inj0 @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X9 @ (^[X59:$i, X60:(($i > $i) > $i > $i) > $i > $i > $i]:c_Empty) @ c_Empty)))) @ (c_setsum @ c_Empty @ (X29 @ c_Empty)))=(X7)=>((![X7:$i, X61:$i > $i > ($i > $i) > $i > $i, X62:(($i > $i) > $i > $i) > $i, X14:$i]:(X9 @ (^[X63:$i, X64:(($i > $i) > $i > $i) > $i > $i > $i]:c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ (X10 @ (^[X19:$i, X65:$i]:c_Empty) @ (^[X19:$i]:c_Empty) @ c_Empty @ c_Empty @ c_Empty) @ (X11 @ (^[X66:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:c_Empty) @ (^[X19:$i]:c_Empty)))) @ (c_setsum @ (c_setsum @ (X8 @ (^[X67:$i > $i, X68:($i > $i > $i) > $i > $i, X33:$i, X69:$i > $i]:c_Empty) @ (^[X19:$i, X70:$i, X71:$i > $i]:c_Empty)) @ c_Empty) @ (X64 @ (^[X72:$i > $i, X73:$i]:c_Inj0 @ c_Empty) @ (X64 @ (^[X74:$i > $i, X75:$i]:c_Empty) @ c_Empty @ c_Empty) @ (c_Inj1 @ c_Empty)))) @ (X10 @ (^[X76:$i, X18:$i]:c_Empty) @ (^[X77:$i]:X62 @ (^[X78:$i > $i, X19:$i]:c_setsum @ (c_Inj1 @ c_Empty) @ (X10 @ (^[X79:$i, X33:$i]:c_Empty) @ (^[X80:$i]:c_Empty) @ c_Empty @ c_Empty @ c_Empty))) @ (c_setsum @ X7 @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty))) @ c_Empty @ (c_Inj0 @ c_Empty)))=(X10 @ (^[X81:$i, X18:$i]:c_setsum @ X14 @ (c_Inj1 @ X14)) @ (^[X82:$i]:X8 @ (^[X83:$i > $i, X84:($i > $i > $i) > $i > $i, X85:$i, X86:$i > $i]:c_Inj1 @ c_Empty) @ (^[X18:$i, X19:$i, X87:$i > $i]:c_Empty)) @ (c_Inj0 @ c_Empty) @ (c_Inj0 @ (X8 @ (^[X88:$i > $i, X89:($i > $i > $i) > $i > $i, X19:$i, X90:$i > $i]:c_Inj1 @ c_Empty) @ (^[X91:$i, X18:$i, X92:$i > $i]:c_Inj0 @ (X10 @ (^[X93:$i, X33:$i]:c_Empty) @ (^[X94:$i]:c_Empty) @ c_Empty @ c_Empty @ c_Empty)))) @ (c_setsum @ (c_Inj1 @ (X62 @ (^[X95:$i > $i, X18:$i]:c_Inj1 @ c_Empty))) @ (c_setsum @ (X11 @ (^[X15:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:X15 @ (^[X96:$i > $i > $i, X97:$i > $i]:c_Empty) @ c_Empty @ c_Empty) @ (^[X98:$i]:c_Inj1 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))=>(![X99:$i > ($i > $i > $i) > $i > $i, X12:$i, X100:$i, X101:(($i > $i > $i) > $i > $i) > $i]:(X9 @ (^[X102:$i, X103:(($i > $i) > $i > $i) > $i > $i > $i]:c_setsum @ (X9 @ (^[X19:$i, X20:(($i > $i) > $i > $i) > $i > $i > $i]:X102) @ (c_setsum @ (X10 @ (^[X19:$i, X104:$i]:c_Empty) @ (^[X19:$i]:c_Empty) @ c_Empty @ c_Empty @ c_Empty) @ (X9 @ (^[X19:$i, X20:(($i > $i) > $i > $i) > $i > $i > $i]:c_Empty) @ c_Empty))) @ c_Empty) @ (X10 @ (^[X105:$i, X18:$i]:X18) @ (^[X106:$i]:X8 @ (^[X107:$i > $i, X108:($i > $i > $i) > $i > $i, X109:$i, X110:$i > $i]:X109) @ (^[X18:$i, X19:$i, X111:$i > $i]:X11 @ (^[X112:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:X112 @ (^[X113:$i > $i > $i, X38:$i > $i]:c_Empty) @ c_Empty @ c_Empty) @ (^[X33:$i]:c_Empty))) @ X12 @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ (c_Inj1 @ (X10 @ (^[X114:$i, X18:$i]:c_Empty) @ (^[X115:$i]:c_Empty) @ c_Empty @ c_Empty @ c_Empty)))))=(X10 @ (^[X116:$i, X18:$i]:c_Inj0 @ c_Empty) @ (^[X117:$i]:X9 @ (^[X18:$i, X118:(($i > $i) > $i > $i) > $i > $i > $i]:X101 @ (^[X119:$i > $i > $i, X33:$i]:X118 @ (^[X120:$i > $i, X121:$i]:X10 @ (^[X122:$i, X42:$i]:c_Empty) @ (^[X123:$i]:c_Empty) @ c_Empty @ c_Empty @ c_Empty) @ c_Empty @ (X9 @ (^[X37:$i, X124:(($i > $i) > $i > $i) > $i > $i > $i]:c_Empty) @ c_Empty))) @ c_Empty) @ (c_Inj0 @ (X11 @ (^[X15:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)) @ (^[X125:$i]:X11 @ (^[X126:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:c_setsum @ c_Empty @ c_Empty) @ (^[X18:$i]:X10 @ (^[X19:$i, X127:$i]:c_Empty) @ (^[X19:$i]:c_Empty) @ c_Empty @ c_Empty @ c_Empty)))) @ (c_setsum @ (c_setsum @ X12 @ (X9 @ (^[X128:$i, X129:(($i > $i) > $i > $i) > $i > $i > $i]:c_Inj0 @ c_Empty) @ (X10 @ (^[X130:$i, X18:$i]:c_Empty) @ (^[X131:$i]:c_Empty) @ c_Empty @ c_Empty @ c_Empty))) @ (X9 @ (^[X132:$i, X133:(($i > $i) > $i > $i) > $i > $i > $i]:c_Inj0 @ (X8 @ (^[X134:$i > $i, X135:($i > $i > $i) > $i > $i, X33:$i, X136:$i > $i]:c_Empty) @ (^[X19:$i, X137:$i, X138:$i > $i]:c_Empty))) @ X12)) @ (c_setsum @ (c_setsum @ X100 @ (X10 @ (^[X139:$i, X18:$i]:X18) @ (^[X140:$i]:X101 @ (^[X141:$i > $i > $i, X19:$i]:c_Empty)) @ (X99 @ c_Empty @ (^[X142:$i, X18:$i]:c_Empty) @ c_Empty) @ (c_Inj0 @ c_Empty) @ (X11 @ (^[X15:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:c_Empty) @ (^[X143:$i]:c_Empty)))) @ (X99 @ (X11 @ (^[X15:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:c_Empty) @ (^[X144:$i]:X8 @ (^[X145:$i > $i, X146:($i > $i > $i) > $i > $i, X147:$i, X148:$i > $i]:c_Empty) @ (^[X18:$i, X19:$i, X149:$i > $i]:c_Empty))) @ (^[X150:$i, X18:$i]:X9 @ (^[X19:$i, X20:(($i > $i) > $i > $i) > $i > $i > $i]:X20 @ (^[X151:$i > $i, X37:$i]:c_Empty) @ c_Empty @ c_Empty) @ X18) @ X12)))=>(![X152:($i > $i) > $i, X153:$i > $i, X154:$i, X14:$i]:(X8 @ (^[X155:$i > $i, X156:($i > $i > $i) > $i > $i, X19:$i, X157:$i > $i]:c_Empty) @ (^[X158:$i, X18:$i, X159:$i > $i]:X8 @ (^[X160:$i > $i, X161:($i > $i > $i) > $i > $i, X37:$i, X38:$i > $i]:X10 @ (^[X162:$i, X42:$i]:X38 @ X37) @ (^[X163:$i]:X163) @ c_Empty @ (X38 @ (X11 @ (^[X164:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:c_Empty) @ (^[X165:$i]:c_Empty))) @ (X8 @ (^[X166:$i > $i, X167:($i > $i > $i) > $i > $i, X168:$i, X169:$i > $i]:c_Inj0 @ c_Empty) @ (^[X170:$i, X42:$i, X43:$i > $i]:X9 @ (^[X171:$i, X172:(($i > $i) > $i > $i) > $i > $i > $i]:c_Empty) @ c_Empty))) @ (^[X173:$i, X33:$i, X174:$i > $i]:c_Inj1 @ (X8 @ (^[X38:$i > $i, X41:($i > $i > $i) > $i > $i, X42:$i, X43:$i > $i]:c_Empty) @ (^[X175:$i, X176:$i, X177:$i > $i]:X174 @ c_Empty)))))=(X8 @ (^[X178:$i > $i, X179:($i > $i > $i) > $i > $i, X19:$i, X180:$i > $i]:c_setsum @ (X8 @ (^[X181:$i > $i, X182:($i > $i > $i) > $i > $i, X183:$i, X184:$i > $i]:c_Empty) @ (^[X33:$i, X37:$i, X38:$i > $i]:c_Empty)) @ c_Empty) @ (^[X185:$i, X18:$i, X186:$i > $i]:c_setsum @ c_Empty @ c_Empty))=>(c_False<=![X7:$i, X12:$i, X187:$i, X14:$i]:(X8 @ (^[X188:$i > $i, X189:($i > $i > $i) > $i > $i, X19:$i, X190:$i > $i]:c_Empty) @ (^[X191:$i, X18:$i, X192:$i > $i]:c_Empty))=(X7)))))<=![X193:$i > $i > $i, X194:((($i > $i) > $i) > ($i > $i) > $i > $i) > $i > $i > $i > $i, X195:(($i > $i > $i) > $i > $i) > $i, X196:$i > $i]:(X10 @ (^[X197:$i, X18:$i]:X10 @ (^[X19:$i, X198:$i]:c_Empty) @ (^[X19:$i]:X197) @ (X196 @ c_Empty) @ (X195 @ (^[X199:$i > $i > $i, X200:$i]:c_setsum @ c_Empty @ (X8 @ (^[X201:$i > $i, X202:($i > $i > $i) > $i > $i, X203:$i, X204:$i > $i]:c_Empty) @ (^[X33:$i, X37:$i, X38:$i > $i]:c_Empty)))) @ c_Empty) @ (^[X205:$i]:c_Empty) @ (X194 @ (^[X206:($i > $i) > $i, X207:$i > $i, X19:$i]:c_Empty) @ c_Empty @ (X10 @ (^[X208:$i, X18:$i]:X11 @ (^[X209:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:X18) @ (^[X19:$i]:c_Inj0 @ c_Empty)) @ (^[X210:$i]:X11 @ (^[X211:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:X195 @ (^[X212:$i > $i > $i, X213:$i]:c_Empty)) @ (^[X18:$i]:c_Inj0 @ c_Empty)) @ (X196 @ c_Empty) @ c_Empty @ (X194 @ (^[X214:($i > $i) > $i, X215:$i > $i, X19:$i]:c_setsum @ c_Empty @ c_Empty) @ (c_Inj1 @ c_Empty) @ (c_Inj0 @ c_Empty) @ c_Empty)) @ (c_Inj0 @ (c_setsum @ (c_Inj1 @ c_Empty) @ (X196 @ c_Empty)))) @ (c_Inj1 @ (c_setsum @ c_Empty @ (X194 @ (^[X216:($i > $i) > $i, X217:$i > $i, X19:$i]:c_setsum @ c_Empty @ c_Empty) @ c_Empty @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))) @ (X196 @ (c_Inj1 @ c_Empty)))=(X196 @ (c_Inj0 @ c_Empty)))))<=![X218:($i > $i > $i) > $i, X12:$i, X219:((($i > $i) > $i) > ($i > $i) > $i > $i) > $i > $i, X220:(($i > $i > $i) > $i) > ($i > $i) > $i > $i > $i]:(X11 @ (^[X15:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:c_setsum @ (X8 @ (^[X221:$i > $i, X222:($i > $i > $i) > $i > $i, X223:$i, X224:$i > $i]:X9 @ (^[X37:$i, X225:(($i > $i) > $i > $i) > $i > $i > $i]:c_setsum @ c_Empty @ c_Empty) @ (c_Inj1 @ c_Empty)) @ (^[X18:$i, X19:$i, X226:$i > $i]:c_Empty)) @ (X9 @ (^[X18:$i, X227:(($i > $i) > $i > $i) > $i > $i > $i]:c_Empty) @ (X10 @ (^[X18:$i, X19:$i]:X220 @ (^[X228:$i > $i > $i]:c_Empty) @ (^[X229:$i]:c_Empty) @ c_Empty @ c_Empty) @ (^[X18:$i]:c_Empty) @ (X219 @ (^[X230:($i > $i) > $i, X231:$i > $i, X232:$i]:c_Empty) @ c_Empty) @ (X9 @ (^[X18:$i, X233:(($i > $i) > $i > $i) > $i > $i > $i]:c_Empty) @ c_Empty) @ (c_Inj0 @ c_Empty)))) @ (^[X234:$i]:X234))=(c_Inj1 @ c_Empty)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj)). 0.86/1.07 thf(ax5, axiom, c_not @ (?[X1:$i]:c_In @ X1 @ c_Empty), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax5)). 0.86/1.07 thf(ax7, axiom, ![X1:$i, X2:$i]:c_iff @ (c_In @ X2 @ (c_Power @ X1)) @ (c_Subq @ X2 @ X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax7)). 0.86/1.07 thf(ax3, axiom, ![X235:$o, X236:$o]:(c_iff @ (X235) @ (X236)=>(X235<=>X236)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax3)). 0.86/1.07 thf(ax17, axiom, (c_Subq)=(^[X1:$i, X2:$i]:![X3:$i]:(c_In @ X3 @ X2<=c_In @ X3 @ X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax17)). 0.86/1.07 thf(c_0_6, plain, ![X21:$i]:(esk7_1 @ X21)=(X21), introduced(definition)). 0.86/1.07 thf(c_0_7, plain, ![X209:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i, X18:$i]:(esk55_2 @ X18 @ X209)=(X18), introduced(definition)). 0.86/1.07 thf(c_0_8, plain, ![X20:(($i > $i) > $i > $i) > $i > $i > $i, X19:$i]:(esk5_2 @ X19 @ X20)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_9, plain, ![X19:$i, X207:$i > $i, X206:($i > $i) > $i]:(esk54_3 @ X206 @ X207 @ X19)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_10, plain, ![X18:$i, X31:$i]:(esk17_2 @ X31 @ X18)=(X31), introduced(definition)). 0.86/1.07 thf(c_0_11, plain, ![X42:$i, X162:$i, X37:$i, X38:$i > $i]:(esk45_4 @ X38 @ X37 @ X162 @ X42)=(X38 @ X37), introduced(definition)). 0.86/1.07 thf(c_0_12, plain, ![X228:$i > $i > $i]:(esk59_1 @ X228)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_13, plain, ![X46:$i > $i, X45:$i, X44:$i]:(esk14_3 @ X44 @ X45 @ X46)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_14, plain, ![X224:$i > $i, X223:$i, X222:($i > $i > $i) > $i > $i, X221:$i > $i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i]:(esk58_5 @ X9 @ X221 @ X222 @ X223 @ X224)=(X9 @ (esk31_3 @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj1 @ c_Empty)), introduced(definition)). 0.86/1.07 thf(c_0_15, plain, ![X20:(($i > $i) > $i > $i) > $i > $i > $i, X19:$i, X102:$i]:(esk31_3 @ X102 @ X19 @ X20)=(X102), introduced(definition)). 0.86/1.07 thf(c_0_16, plain, ![X19:$i, X215:$i > $i, X214:($i > $i) > $i]:(esk57_3 @ X214 @ X215 @ X19)=(c_setsum @ c_Empty @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_17, plain, ![X19:$i, X141:$i > $i > $i]:(esk42_2 @ X141 @ X19)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_18, plain, ![X18:$i, X208:$i, X11:(((($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i) > $i) > ($i > $i) > $i]:(esk56_3 @ X11 @ X208 @ X18)=(X11 @ (esk55_2 @ X18) @ (esk17_2 @ (c_Inj0 @ c_Empty))), introduced(definition)). 0.86/1.07 thf(c_0_19, plain, ![X18:$i, X197:$i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i, X196:$i > $i, X195:(($i > $i > $i) > $i > $i) > $i]:(esk53_6 @ X195 @ X196 @ X10 @ X8 @ X197 @ X18)=(X10 @ esk9_2 @ (esk17_2 @ X197) @ (X196 @ c_Empty) @ (X195 @ (esk52_3 @ X8)) @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_20, plain, ![X200:$i, X199:$i > $i > $i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i]:(esk52_3 @ X8 @ X199 @ X200)=(c_setsum @ c_Empty @ (X8 @ esk13_4 @ esk14_3)), introduced(definition)). 0.86/1.07 thf(c_0_21, plain, ![X43:$i > $i, X42:$i, X41:($i > $i > $i) > $i > $i, X38:$i > $i]:(esk13_4 @ X38 @ X41 @ X42 @ X43)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_22, plain, ![X26:$i, X19:$i]:(esk9_2 @ X19 @ X26)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_23, plain, ![X177:$i > $i, X176:$i, X175:$i, X174:$i > $i]:(esk48_4 @ X174 @ X175 @ X176 @ X177)=(X174 @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_24, plain, ![X180:$i > $i, X19:$i, X179:($i > $i > $i) > $i > $i, X178:$i > $i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i]:(esk51_5 @ X8 @ X178 @ X179 @ X19 @ X180)=(c_setsum @ (X8 @ esk13_4 @ esk14_3) @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_25, plain, ![X159:$i > $i, X18:$i, X158:$i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i, X11:(((($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i) > $i) > ($i > $i) > $i]:(esk50_7 @ X11 @ X10 @ X8 @ X9 @ X158 @ X18 @ X159)=(X8 @ (esk47_8 @ X11 @ X8 @ X10 @ X9) @ (esk49_4 @ X8)), introduced(definition)). 0.86/1.07 thf(c_0_26, plain, ![X174:$i > $i, X33:$i, X173:$i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i]:(esk49_4 @ X8 @ X173 @ X33 @ X174)=(c_Inj1 @ (X8 @ esk13_4 @ (esk48_4 @ X174))), introduced(definition)). 0.86/1.07 thf(c_0_27, plain, ![X38:$i > $i, X37:$i, X161:($i > $i > $i) > $i > $i, X160:$i > $i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i, X11:(((($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i) > $i) > ($i > $i) > $i]:(esk47_8 @ X11 @ X8 @ X10 @ X9 @ X160 @ X161 @ X37 @ X38)=(X10 @ (esk45_4 @ X38 @ X37) @ esk7_1 @ c_Empty @ (X38 @ (X11 @ esk3_1 @ (esk17_2 @ c_Empty))) @ (X8 @ esk20_4 @ (esk46_4 @ X9))), introduced(definition)). 0.86/1.07 thf(c_0_28, plain, ![X43:$i > $i, X42:$i, X170:$i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i]:(esk46_4 @ X9 @ X170 @ X42 @ X43)=(X9 @ esk5_2 @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_29, plain, ![X56:$i > $i, X19:$i, X55:($i > $i > $i) > $i > $i, X54:$i > $i]:(esk20_4 @ X54 @ X55 @ X19 @ X56)=(c_Inj0 @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_30, plain, ![X15:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:(esk3_1 @ X15)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_31, plain, ![X18:$i, X150:$i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i]:(esk44_3 @ X9 @ X150 @ X18)=(X9 @ esk43_2 @ X18), introduced(definition)). 0.86/1.07 thf(c_0_32, plain, ![X20:(($i > $i) > $i > $i) > $i > $i > $i, X19:$i]:(esk43_2 @ X19 @ X20)=(X20 @ esk8_2 @ c_Empty @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_33, plain, ![X25:$i, X24:$i > $i]:(esk8_2 @ X24 @ X25)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_34, plain, ![X18:$i, X105:$i]:(esk33_2 @ X105 @ X18)=(X18), introduced(definition)). 0.86/1.07 thf(c_0_35, plain, ![X126:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:(esk41_1 @ X126)=(c_setsum @ c_Empty @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_36, plain, ![X15:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:(esk40_1 @ X15)=(c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)), introduced(definition)). 0.86/1.07 thf(c_0_37, plain, ![X118:(($i > $i) > $i > $i) > $i > $i > $i, X18:$i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i, X101:(($i > $i > $i) > $i > $i) > $i]:(esk39_5 @ X101 @ X10 @ X9 @ X18 @ X118)=(X101 @ (esk38_5 @ X10 @ X118 @ X9)), introduced(definition)). 0.86/1.07 thf(c_0_38, plain, ![X33:$i, X119:$i > $i > $i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i, X118:(($i > $i) > $i > $i) > $i > $i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i]:(esk38_5 @ X10 @ X118 @ X9 @ X119 @ X33)=(X118 @ (esk37_3 @ X10) @ c_Empty @ (X9 @ esk5_2 @ c_Empty)), introduced(definition)). 0.86/1.07 thf(c_0_39, plain, ![X121:$i, X120:$i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i]:(esk37_3 @ X10 @ X120 @ X121)=(X10 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_40, plain, ![X18:$i, X116:$i]:(esk36_2 @ X116 @ X18)=(c_Inj0 @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_41, plain, ![X111:$i > $i, X19:$i, X18:$i, X11:(((($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i) > $i) > ($i > $i) > $i]:(esk35_4 @ X11 @ X18 @ X19 @ X111)=(X11 @ esk30_1 @ (esk17_2 @ c_Empty)), introduced(definition)). 0.86/1.07 thf(c_0_42, plain, ![X15:(($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i]:(esk30_1 @ X15)=(X15 @ esk29_2 @ c_Empty @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_43, plain, ![X97:$i > $i, X96:$i > $i > $i]:(esk29_2 @ X96 @ X97)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_44, plain, ![X110:$i > $i, X109:$i, X108:($i > $i > $i) > $i > $i, X107:$i > $i]:(esk34_4 @ X107 @ X108 @ X109 @ X110)=(X109), introduced(definition)). 0.86/1.07 thf(c_0_45, plain, ![X103:(($i > $i) > $i > $i) > $i > $i > $i, X102:$i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i]:(esk32_4 @ X10 @ X9 @ X102 @ X103)=(c_setsum @ (X9 @ (esk31_3 @ X102) @ (c_setsum @ (X10 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty) @ (X9 @ esk5_2 @ c_Empty))) @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_46, plain, ![X18:$i, X95:$i > $i]:(esk28_2 @ X95 @ X18)=(c_Inj1 @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_47, plain, ![X92:$i > $i, X18:$i, X91:$i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i]:(esk27_4 @ X10 @ X91 @ X18 @ X92)=(c_Inj0 @ (X10 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty)), introduced(definition)). 0.86/1.07 thf(c_0_48, plain, ![X86:$i > $i, X85:$i, X84:($i > $i > $i) > $i > $i, X83:$i > $i]:(esk26_4 @ X83 @ X84 @ X85 @ X86)=(c_Inj1 @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_49, plain, ![X18:$i, X81:$i, X14:$i]:(esk25_3 @ X14 @ X81 @ X18)=(c_setsum @ X14 @ (c_Inj1 @ X14)), introduced(definition)). 0.86/1.07 thf(c_0_50, plain, ![X19:$i, X78:$i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i]:(esk24_3 @ X10 @ X78 @ X19)=(c_setsum @ (c_Inj1 @ c_Empty) @ (X10 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty)), introduced(definition)). 0.86/1.07 thf(c_0_51, plain, ![X64:(($i > $i) > $i > $i) > $i > $i > $i, X63:$i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i, X11:(((($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i) > $i) > ($i > $i) > $i]:(esk23_5 @ X11 @ X10 @ X8 @ X63 @ X64)=(c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ (X10 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty) @ (X11 @ esk3_1 @ (esk17_2 @ c_Empty)))) @ (c_setsum @ (c_setsum @ (X8 @ esk13_4 @ esk14_3) @ c_Empty) @ (X64 @ esk22_2 @ (X64 @ esk8_2 @ c_Empty @ c_Empty) @ (c_Inj1 @ c_Empty)))), introduced(definition)). 0.86/1.07 thf(c_0_52, plain, ![X73:$i, X72:$i > $i]:(esk22_2 @ X72 @ X73)=(c_Inj0 @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_53, plain, ![X58:$i > $i, X18:$i, X57:$i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i]:(esk21_4 @ X9 @ X57 @ X18 @ X58)=(c_Inj0 @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X9 @ esk5_2 @ c_Empty))), introduced(definition)). 0.86/1.07 thf(c_0_54, plain, ![X31:$i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i, X11:(((($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i) > $i) > ($i > $i) > $i, X29:$i > $i]:(esk19_6 @ X29 @ X11 @ X8 @ X10 @ X9 @ X31)=(X10 @ (esk16_5 @ X10 @ X29 @ X8) @ (esk17_2 @ X31) @ (X9 @ esk5_2 @ (X10 @ esk18_2 @ (esk17_2 @ (X9 @ esk5_2 @ c_Empty)) @ (X11 @ esk3_1 @ (esk17_2 @ c_Empty)) @ (c_Inj1 @ c_Empty) @ (X8 @ esk13_4 @ esk14_3))) @ (X29 @ c_Empty) @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_55, plain, ![X19:$i, X18:$i]:(esk18_2 @ X18 @ X19)=(c_Inj1 @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_56, plain, ![X19:$i, X18:$i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i, X29:$i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i]:(esk16_5 @ X10 @ X29 @ X8 @ X18 @ X19)=(X10 @ esk9_2 @ esk10_1 @ (X8 @ esk12_4 @ (esk15_4 @ X8)) @ (X29 @ X19) @ X19), introduced(definition)). 0.86/1.07 thf(c_0_57, plain, ![X40:$i > $i, X33:$i, X39:$i, X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i]:(esk15_4 @ X8 @ X39 @ X33 @ X40)=(X8 @ esk13_4 @ esk14_3), introduced(definition)). 0.86/1.07 thf(c_0_58, plain, ![X38:$i > $i, X37:$i, X36:($i > $i > $i) > $i > $i, X35:$i > $i]:(esk12_4 @ X35 @ X36 @ X37 @ X38)=(c_setsum @ c_Empty @ c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_59, plain, ![X19:$i]:(esk10_1 @ X19)=(c_Empty), introduced(definition)). 0.86/1.07 thf(c_0_60, plain, ![X23:(($i > $i) > $i > $i) > $i > $i > $i, X22:$i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i]:(esk11_3 @ X10 @ X22 @ X23)=(X23 @ esk8_2 @ X22 @ (X10 @ esk9_2 @ esk10_1 @ c_Empty @ c_Empty @ c_Empty)), introduced(definition)). 0.86/1.07 thf(c_0_61, plain, ![X18:$i, X17:$i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i]:(esk6_3 @ X9 @ X17 @ X18)=(X9 @ esk5_2 @ (c_setsum @ c_Empty @ c_Empty)), introduced(definition)). 0.86/1.07 thf(c_0_62, plain, ![X16:$i, X13:$i > $i]:(esk4_2 @ X13 @ X16)=(X13 @ X16), introduced(definition)). 0.86/1.07 thf(c_0_63, plain, ![X269:$o]:(c_not @ X269<=>(X269=>c_False)), inference(fof_simplification,[status(thm)],[ax13])). 0.86/1.07 thf(c_0_64, negated_conjecture, ~(![X8:(($i > $i) > (($i > $i > $i) > $i > $i) > $i > ($i > $i) > $i) > ($i > $i > ($i > $i) > $i) > $i, X9:($i > ((($i > $i) > $i > $i) > $i > $i > $i) > $i) > $i > $i, X10:($i > $i > $i) > ($i > $i) > $i > $i > $i > $i, X11:(((($i > $i > $i) > ($i > $i) > $i) > $i > $i > $i) > $i) > ($i > $i) > $i]:(![X218:($i > $i > $i) > $i, X12:$i, X219:((($i > $i) > $i) > ($i > $i) > $i > $i) > $i > $i, X220:(($i > $i > $i) > $i) > ($i > $i) > $i > $i > $i]:(X11 @ (esk55_2 @ (c_setsum @ (X8 @ (esk58_5 @ X9) @ esk14_3) @ (X9 @ esk5_2 @ (X10 @ (esk45_4 @ (X220 @ esk59_1 @ (esk17_2 @ c_Empty) @ c_Empty) @ c_Empty) @ (esk17_2 @ c_Empty) @ (X219 @ esk54_3 @ c_Empty) @ (X9 @ esk5_2 @ c_Empty) @ (c_Inj0 @ c_Empty))))) @ esk7_1)=(c_Inj1 @ c_Empty)=>(![X7:$i, X12:$i, X13:$i > $i, X14:$i]:(X11 @ esk3_1 @ (esk4_2 @ X13))=(X13 @ (c_setsum @ (X10 @ (esk6_3 @ X9) @ esk7_1 @ X12 @ c_Empty @ c_Empty) @ (X9 @ (esk11_3 @ X10) @ c_Empty)))=>(![X7:$i, X27:($i > ($i > $i) > $i) > $i, X28:$i, X29:$i > $i]:(X10 @ esk9_2 @ (esk19_6 @ X29 @ X11 @ X8 @ X10 @ X9) @ X7 @ (X8 @ esk20_4 @ (esk21_4 @ X9)) @ (c_setsum @ c_Empty @ (X29 @ c_Empty)))=(X7)=>(![X193:$i > $i > $i, X194:((($i > $i) > $i) > ($i > $i) > $i > $i) > $i > $i > $i > $i, X195:(($i > $i > $i) > $i > $i) > $i, X196:$i > $i]:(X10 @ (esk53_6 @ X195 @ X196 @ X10 @ X8) @ (esk17_2 @ c_Empty) @ (X194 @ esk54_3 @ c_Empty @ (X10 @ (esk56_3 @ X11) @ (esk17_2 @ (X11 @ (esk55_2 @ (X195 @ esk42_2)) @ (esk17_2 @ (c_Inj0 @ c_Empty)))) @ (X196 @ c_Empty) @ c_Empty @ (X194 @ esk57_3 @ (c_Inj1 @ c_Empty) @ (c_Inj0 @ c_Empty) @ c_Empty)) @ (c_Inj0 @ (c_setsum @ (c_Inj1 @ c_Empty) @ (X196 @ c_Empty)))) @ (c_Inj1 @ (c_setsum @ c_Empty @ (X194 @ esk57_3 @ c_Empty @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))) @ (X196 @ (c_Inj1 @ c_Empty)))=(X196 @ (c_Inj0 @ c_Empty))=>(![X7:$i, X61:$i > $i > ($i > $i) > $i > $i, X62:(($i > $i) > $i > $i) > $i, X14:$i]:(X9 @ (esk23_5 @ X11 @ X10 @ X8) @ (X10 @ esk9_2 @ (esk17_2 @ (X62 @ (esk24_3 @ X10))) @ (c_setsum @ X7 @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty))) @ c_Empty @ (c_Inj0 @ c_Empty)))=(X10 @ (esk25_3 @ X14) @ (esk17_2 @ (X8 @ esk26_4 @ esk14_3)) @ (c_Inj0 @ c_Empty) @ (c_Inj0 @ (X8 @ esk26_4 @ (esk27_4 @ X10))) @ (c_setsum @ (c_Inj1 @ (X62 @ esk28_2)) @ (c_setsum @ (X11 @ esk30_1 @ (esk17_2 @ (c_Inj1 @ c_Empty))) @ (c_setsum @ c_Empty @ c_Empty))))=>(![X99:$i > ($i > $i > $i) > $i > $i, X12:$i, X100:$i, X101:(($i > $i > $i) > $i > $i) > $i]:(X9 @ (esk32_4 @ X10 @ X9) @ (X10 @ esk33_2 @ (esk17_2 @ (X8 @ esk34_4 @ (esk35_4 @ X11))) @ X12 @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ (c_Inj1 @ (X10 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty)))))=(X10 @ esk36_2 @ (esk17_2 @ (X9 @ (esk39_5 @ X101 @ X10 @ X9) @ c_Empty)) @ (c_Inj0 @ (X11 @ esk40_1 @ (esk17_2 @ (X11 @ esk41_1 @ (esk17_2 @ (X10 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty)))))) @ (c_setsum @ (c_setsum @ X12 @ (X9 @ (esk31_3 @ (c_Inj0 @ c_Empty)) @ (X10 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty))) @ (X9 @ (esk31_3 @ (c_Inj0 @ (X8 @ esk13_4 @ esk14_3))) @ X12)) @ (c_setsum @ (c_setsum @ X100 @ (X10 @ esk33_2 @ (esk17_2 @ (X101 @ esk42_2)) @ (X99 @ c_Empty @ esk9_2 @ c_Empty) @ (c_Inj0 @ c_Empty) @ (X11 @ esk3_1 @ (esk17_2 @ c_Empty)))) @ (X99 @ (X11 @ esk3_1 @ (esk17_2 @ (X8 @ esk13_4 @ esk14_3))) @ (esk44_3 @ X9) @ X12)))=>(![X152:($i > $i) > $i, X153:$i > $i, X154:$i, X14:$i]:(X8 @ esk13_4 @ (esk50_7 @ X11 @ X10 @ X8 @ X9))=(X8 @ (esk51_5 @ X8) @ (esk48_4 @ (c_setsum @ c_Empty)))=>(![X7:$i, X12:$i, X187:$i, X14:$i]:(X8 @ esk13_4 @ esk14_3)=(X7)=>c_False))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]), c_0_6]), c_0_7]), c_0_8]), c_0_9]), c_0_10]), c_0_11]), c_0_10]), c_0_12]), c_0_8]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_16]), c_0_10]), c_0_10]), c_0_7]), c_0_17]), c_0_18]), c_0_10]), c_0_7]), c_0_9]), c_0_10]), c_0_19]), c_0_20]), c_0_13]), c_0_21]), c_0_10]), c_0_22]), c_0_13]), c_0_21]), c_0_23]), c_0_24]), c_0_13]), c_0_21]), c_0_25]), c_0_26]), c_0_23]), c_0_21]), c_0_27]), c_0_28]), c_0_8]), c_0_29]), c_0_10]), c_0_30]), c_0_6]), c_0_11]), c_0_21]), c_0_31]), c_0_32]), c_0_33]), c_0_10]), c_0_13]), c_0_21]), c_0_30]), c_0_10]), c_0_30]), c_0_22]), c_0_10]), c_0_17]), c_0_34]), c_0_15]), c_0_13]), c_0_21]), c_0_10]), c_0_22]), c_0_15]), c_0_10]), c_0_10]), c_0_10]), c_0_22]), c_0_35]), c_0_36]), c_0_10]), c_0_37]), c_0_38]), c_0_8]), c_0_39]), c_0_10]), c_0_22]), c_0_40]), c_0_10]), c_0_22]), c_0_10]), c_0_41]), c_0_10]), c_0_42]), c_0_43]), c_0_44]), c_0_34]), c_0_45]), c_0_8]), c_0_10]), c_0_22]), c_0_15]), c_0_10]), c_0_42]), c_0_43]), c_0_46]), c_0_47]), c_0_10]), c_0_22]), c_0_48]), c_0_10]), c_0_13]), c_0_48]), c_0_49]), c_0_10]), c_0_50]), c_0_10]), c_0_22]), c_0_22]), c_0_51]), c_0_33]), c_0_52]), c_0_13]), c_0_21]), c_0_10]), c_0_30]), c_0_10]), c_0_22]), c_0_53]), c_0_8]), c_0_29]), c_0_54]), c_0_13]), c_0_21]), c_0_10]), c_0_30]), c_0_10]), c_0_8]), c_0_55]), c_0_8]), c_0_10]), c_0_56]), c_0_57]), c_0_13]), c_0_21]), c_0_58]), c_0_59]), c_0_22]), c_0_22]), c_0_60]), c_0_59]), c_0_22]), c_0_33]), c_0_6]), c_0_61]), c_0_8]), c_0_62]), c_0_30])])). 0.86/1.07 thf(c_0_65, axiom, ((~(?[X1:$i]:c_In @ X1 @ c_Empty)|c_not @ $true)&(?[X1:$i]:c_In @ X1 @ c_Empty|c_not @ $false)), inference(fool_unroll,[status(thm)],[ax5])). 0.86/1.07 thf(c_0_66, plain, ![X734:$o]:((~c_not @ X734|(~X734|c_False))&((X734|c_not @ X734)&(~c_False|c_not @ X734))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])). 0.86/1.07 thf(c_0_67, negated_conjecture, ![X612:((($i > $i) > $i) > ($i > $i) > $i > $i) > $i > $i, X613:(($i > $i > $i) > $i) > ($i > $i) > $i > $i > $i, X614:$i, X615:$i > $i, X616:$i, X617:$i > $i, X618:((($i > $i) > $i) > ($i > $i) > $i > $i) > $i > $i > $i > $i, X619:(($i > $i > $i) > $i > $i) > $i, X620:$i > $i, X621:$i, X622:(($i > $i) > $i > $i) > $i, X623:$i, X624:$i > ($i > $i > $i) > $i > $i, X625:$i, X626:$i, X627:(($i > $i > $i) > $i > $i) > $i, X628:$i]:((esk76_0 @ (esk55_2 @ (c_setsum @ (esk73_0 @ (esk58_5 @ esk74_0) @ esk14_3) @ (esk74_0 @ esk5_2 @ (esk75_0 @ (esk45_4 @ (X613 @ esk59_1 @ (esk17_2 @ c_Empty) @ c_Empty) @ c_Empty) @ (esk17_2 @ c_Empty) @ (X612 @ esk54_3 @ c_Empty) @ (esk74_0 @ esk5_2 @ c_Empty) @ (c_Inj0 @ c_Empty))))) @ esk7_1)=(c_Inj1 @ c_Empty)&((esk76_0 @ esk3_1 @ (esk4_2 @ X615))=(X615 @ (c_setsum @ (esk75_0 @ (esk6_3 @ esk74_0) @ esk7_1 @ X614 @ c_Empty @ c_Empty) @ (esk74_0 @ (esk11_3 @ esk75_0) @ c_Empty)))&((esk75_0 @ esk9_2 @ (esk19_6 @ X617 @ esk76_0 @ esk73_0 @ esk75_0 @ esk74_0) @ X616 @ (esk73_0 @ esk20_4 @ (esk21_4 @ esk74_0)) @ (c_setsum @ c_Empty @ (X617 @ c_Empty)))=(X616)&((esk75_0 @ (esk53_6 @ X619 @ X620 @ esk75_0 @ esk73_0) @ (esk17_2 @ c_Empty) @ (X618 @ esk54_3 @ c_Empty @ (esk75_0 @ (esk56_3 @ esk76_0) @ (esk17_2 @ (esk76_0 @ (esk55_2 @ (X619 @ esk42_2)) @ (esk17_2 @ (c_Inj0 @ c_Empty)))) @ (X620 @ c_Empty) @ c_Empty @ (X618 @ esk57_3 @ (c_Inj1 @ c_Empty) @ (c_Inj0 @ c_Empty) @ c_Empty)) @ (c_Inj0 @ (c_setsum @ (c_Inj1 @ c_Empty) @ (X620 @ c_Empty)))) @ (c_Inj1 @ (c_setsum @ c_Empty @ (X618 @ esk57_3 @ c_Empty @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))) @ (X620 @ (c_Inj1 @ c_Empty)))=(X620 @ (c_Inj0 @ c_Empty))&((esk74_0 @ (esk23_5 @ esk76_0 @ esk75_0 @ esk73_0) @ (esk75_0 @ esk9_2 @ (esk17_2 @ (X622 @ (esk24_3 @ esk75_0))) @ (c_setsum @ X621 @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty))) @ c_Empty @ (c_Inj0 @ c_Empty)))=(esk75_0 @ (esk25_3 @ X623) @ (esk17_2 @ (esk73_0 @ esk26_4 @ esk14_3)) @ (c_Inj0 @ c_Empty) @ (c_Inj0 @ (esk73_0 @ esk26_4 @ (esk27_4 @ esk75_0))) @ (c_setsum @ (c_Inj1 @ (X622 @ esk28_2)) @ (c_setsum @ (esk76_0 @ esk30_1 @ (esk17_2 @ (c_Inj1 @ c_Empty))) @ (c_setsum @ c_Empty @ c_Empty))))&((esk74_0 @ (esk32_4 @ esk75_0 @ esk74_0) @ (esk75_0 @ esk33_2 @ (esk17_2 @ (esk73_0 @ esk34_4 @ (esk35_4 @ esk76_0))) @ X625 @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ (c_Inj1 @ (esk75_0 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty)))))=(esk75_0 @ esk36_2 @ (esk17_2 @ (esk74_0 @ (esk39_5 @ X627 @ esk75_0 @ esk74_0) @ c_Empty)) @ (c_Inj0 @ (esk76_0 @ esk40_1 @ (esk17_2 @ (esk76_0 @ esk41_1 @ (esk17_2 @ (esk75_0 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty)))))) @ (c_setsum @ (c_setsum @ X625 @ (esk74_0 @ (esk31_3 @ (c_Inj0 @ c_Empty)) @ (esk75_0 @ esk9_2 @ (esk17_2 @ c_Empty) @ c_Empty @ c_Empty @ c_Empty))) @ (esk74_0 @ (esk31_3 @ (c_Inj0 @ (esk73_0 @ esk13_4 @ esk14_3))) @ X625)) @ (c_setsum @ (c_setsum @ X626 @ (esk75_0 @ esk33_2 @ (esk17_2 @ (X627 @ esk42_2)) @ (X624 @ c_Empty @ esk9_2 @ c_Empty) @ (c_Inj0 @ c_Empty) @ (esk76_0 @ esk3_1 @ (esk17_2 @ c_Empty)))) @ (X624 @ (esk76_0 @ esk3_1 @ (esk17_2 @ (esk73_0 @ esk13_4 @ esk14_3))) @ (esk44_3 @ esk74_0) @ X625)))&((esk73_0 @ esk13_4 @ (esk50_7 @ esk76_0 @ esk75_0 @ esk73_0 @ esk74_0))=(esk73_0 @ (esk51_5 @ esk73_0) @ (esk48_4 @ (c_setsum @ c_Empty)))&((esk73_0 @ esk13_4 @ esk14_3)=(X628)&~c_False)))))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_64])])])])])). 0.86/1.07 thf(c_0_68, plain, ![X809:$i]:((~c_In @ X809 @ c_Empty|c_not @ $true)&(c_In @ esk101_0 @ c_Empty|c_not @ $false)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])])). 0.86/1.07 thf(c_0_69, plain, (c_False|~c_not @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_66])])])). 0.86/1.07 thf(c_0_70, negated_conjecture, ~c_False, inference(split_conjunct,[status(thm)],[c_0_67])). 0.86/1.07 thf(c_0_71, axiom, ![X1:$i, X2:$i]:((~c_In @ X2 @ (c_Power @ X1)|((~c_Subq @ X2 @ X1|c_iff @ $true @ $true)&(c_Subq @ X2 @ X1|c_iff @ $true @ $false)))&(c_In @ X2 @ (c_Power @ X1)|((~c_Subq @ X2 @ X1|c_iff @ $false @ $true)&(c_Subq @ X2 @ X1|c_iff @ $false @ $false)))), inference(fool_unroll,[status(thm)],[ax7])). 0.86/1.07 thf(c_0_72, axiom, ![X235:$o, X236:$o]:(((~X235|((~X236|c_iff @ $true @ $true)&(X236|c_iff @ $true @ $false)))&(X235|((~X236|c_iff @ $false @ $true)&(X236|c_iff @ $false @ $false))))=>(X235<=>X236)), inference(fool_unroll,[status(thm)],[ax3])). 0.86/1.07 thf(c_0_73, plain, ![X1:$i, X2:$i]:(c_Subq @ X1 @ X2<=>![X574:$i]:(c_In @ X574 @ X1=>c_In @ X574 @ X2)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])])). 0.86/1.07 thf(c_0_74, plain, ![X1:$i]:(c_not @ $true|~c_In @ X1 @ c_Empty), inference(split_conjunct,[status(thm)],[c_0_68])). 0.86/1.07 thf(c_0_75, plain, ~c_not @ $true, inference(sr,[status(thm)],[c_0_69, c_0_70])). 0.86/1.07 thf(c_0_76, negated_conjecture, ![X1:$i]:(esk73_0 @ esk13_4 @ esk14_3)=(X1), inference(split_conjunct,[status(thm)],[c_0_67])). 0.86/1.07 thf(c_0_77, plain, ![X755:$i, X756:$i]:(((~c_Subq @ X756 @ X755|c_iff @ $true @ $true|~c_In @ X756 @ (c_Power @ X755))&(c_Subq @ X756 @ X755|c_iff @ $true @ $false|~c_In @ X756 @ (c_Power @ X755)))&((~c_Subq @ X756 @ X755|c_iff @ $false @ $true|c_In @ X756 @ (c_Power @ X755))&(c_Subq @ X756 @ X755|c_iff @ $false @ $false|c_In @ X756 @ (c_Power @ X755)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_71])])). 0.86/1.07 thf(c_0_78, plain, ![X645:$o, X646:$o]:((((~X645|X646|(~X645|X645))&(~X646|X645|(~X645|X645)))&((((~X645|X646|(~X646|X646|X645))&(~X646|X645|(~X646|X646|X645)))&((~X645|X646|(~c_iff @ $false @ $false|X646|X645))&(~X646|X645|(~c_iff @ $false @ $false|X646|X645))))&(((~X645|X646|(~X646|~c_iff @ $false @ $true|X645))&(~X646|X645|(~X646|~c_iff @ $false @ $true|X645)))&((~X645|X646|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X645))&(~X646|X645|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X645))))))&(((((~X645|X646|(~X645|(~X646|X646)))&(~X646|X645|(~X645|(~X646|X646))))&((((~X645|X646|(~X646|X646|(~X646|X646)))&(~X646|X645|(~X646|X646|(~X646|X646))))&((~X645|X646|(~c_iff @ $false @ $false|X646|(~X646|X646)))&(~X646|X645|(~c_iff @ $false @ $false|X646|(~X646|X646)))))&(((~X645|X646|(~X646|~c_iff @ $false @ $true|(~X646|X646)))&(~X646|X645|(~X646|~c_iff @ $false @ $true|(~X646|X646))))&((~X645|X646|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X646|X646)))&(~X646|X645|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X646|X646)))))))&(((~X645|X646|(~X645|(~c_iff @ $true @ $false|X646)))&(~X646|X645|(~X645|(~c_iff @ $true @ $false|X646))))&((((~X645|X646|(~X646|X646|(~c_iff @ $true @ $false|X646)))&(~X646|X645|(~X646|X646|(~c_iff @ $true @ $false|X646))))&((~X645|X646|(~c_iff @ $false @ $false|X646|(~c_iff @ $true @ $false|X646)))&(~X646|X645|(~c_iff @ $false @ $false|X646|(~c_iff @ $true @ $false|X646)))))&(((~X645|X646|(~X646|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X646)))&(~X646|X645|(~X646|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X646))))&((~X645|X646|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X646)))&(~X646|X645|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X646))))))))&((((~X645|X646|(~X645|(~X646|~c_iff @ $true @ $true)))&(~X646|X645|(~X645|(~X646|~c_iff @ $true @ $true))))&((((~X645|X646|(~X646|X646|(~X646|~c_iff @ $true @ $true)))&(~X646|X645|(~X646|X646|(~X646|~c_iff @ $true @ $true))))&((~X645|X646|(~c_iff @ $false @ $false|X646|(~X646|~c_iff @ $true @ $true)))&(~X646|X645|(~c_iff @ $false @ $false|X646|(~X646|~c_iff @ $true @ $true)))))&(((~X645|X646|(~X646|~c_iff @ $false @ $true|(~X646|~c_iff @ $true @ $true)))&(~X646|X645|(~X646|~c_iff @ $false @ $true|(~X646|~c_iff @ $true @ $true))))&((~X645|X646|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X646|~c_iff @ $true @ $true)))&(~X646|X645|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X646|~c_iff @ $true @ $true)))))))&(((~X645|X646|(~X645|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X646|X645|(~X645|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((((~X645|X646|(~X646|X646|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X646|X645|(~X646|X646|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X645|X646|(~c_iff @ $false @ $false|X646|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X646|X645|(~c_iff @ $false @ $false|X646|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))&(((~X645|X646|(~X646|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X646|X645|(~X646|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X645|X646|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X646|X645|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])). 0.86/1.07 thf(c_0_79, plain, ![X932:$i, X933:$i, X934:$i, X935:$i, X936:$i]:((~c_Subq @ X932 @ X933|(~c_In @ X934 @ X932|c_In @ X934 @ X933))&((c_In @ (esk121_2 @ X935 @ X936) @ X935|c_Subq @ X935 @ X936)&(~c_In @ (esk121_2 @ X935 @ X936) @ X936|c_Subq @ X935 @ X936))), 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)],[c_0_73])])])])])])). 0.86/1.07 thf(c_0_80, plain, ![X1:$i]:~c_In @ X1 @ c_Empty, inference(sr,[status(thm)],[c_0_74, c_0_75])). 0.86/1.07 thf(c_0_81, negated_conjecture, ![X1:$i, X2:$i]:(X1)=(X2), inference(spm,[status(thm)],[c_0_76, c_0_76])). 0.86/1.07 thf(c_0_82, plain, ![X1:$i, X2:$i]:(c_iff @ $false @ $true|c_In @ X1 @ (c_Power @ X2)|~c_Subq @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_77])). 0.86/1.07 thf(c_0_83, plain, ~c_iff @ $false @ $true, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_78])])])). 0.86/1.07 thf(c_0_84, plain, ![X1:$i, X2:$i]:(c_In @ (esk121_2 @ X1 @ X2) @ X1|c_Subq @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_79])). 0.86/1.07 thf(c_0_85, negated_conjecture, ![X1:$i, X2:$i]:~c_In @ X1 @ X2, inference(spm,[status(thm)],[c_0_80, c_0_81])). 0.86/1.07 thf(c_0_86, plain, ![X1:$i, X2:$i]:(c_In @ X1 @ (c_Power @ X2)|~c_Subq @ X1 @ X2), inference(sr,[status(thm)],[c_0_82, c_0_83])). 0.86/1.07 thf(c_0_87, plain, ![X1:$i, X2:$i]:c_Subq @ X1 @ X2, inference(sr,[status(thm)],[c_0_84, c_0_85])). 0.86/1.07 thf(c_0_88, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_87])]), c_0_85]), ['proof']). 0.86/1.07 # SZS output end CNFRefutation 0.86/1.07 # Proof object total steps : 89 0.86/1.07 # Proof object clause steps : 14 0.86/1.07 # Proof object formula steps : 75 0.86/1.07 # Proof object conjectures : 7 0.86/1.07 # Proof object clause conjectures : 4 0.86/1.07 # Proof object formula conjectures : 3 0.86/1.07 # Proof object initial clauses used : 7 0.86/1.07 # Proof object initial formulas used : 6 0.86/1.07 # Proof object generating inferences : 2 0.86/1.07 # Proof object simplifying inferences : 9 0.86/1.07 # Training examples: 0 positive, 0 negative 0.86/1.07 # Parsed axioms : 213 0.86/1.07 # Removed by relevancy pruning/SinE : 0 0.86/1.07 # Initial clauses : 7216 0.86/1.07 # Removed in clause preprocessing : 2326 0.86/1.07 # Initial clauses in saturation : 4890 0.86/1.07 # Processed clauses : 6478 0.86/1.07 # ...of these trivial : 389 0.86/1.07 # ...subsumed : 3585 0.86/1.07 # ...remaining for further processing : 2503 0.86/1.07 # Other redundant clauses eliminated : 36 0.86/1.07 # Clauses deleted for lack of memory : 0 0.86/1.07 # Backward-subsumed : 409 0.86/1.07 # Backward-rewritten : 297 0.86/1.07 # Generated clauses : 3418 0.86/1.07 # ...of the previous two non-trivial : 2018 0.86/1.07 # Contextual simplify-reflections : 205 0.86/1.07 # Paramodulations : 2199 0.86/1.07 # Factorizations : 0 0.86/1.07 # NegExts : 0 0.86/1.07 # Equation resolutions : 36 0.86/1.07 # Propositional unsat checks : 0 0.86/1.07 # Propositional check models : 0 0.86/1.07 # Propositional check unsatisfiable : 0 0.86/1.07 # Propositional clauses : 0 0.86/1.07 # Propositional clauses after purity: 0 0.86/1.07 # Propositional unsat core size : 0 0.86/1.07 # Propositional preprocessing time : 0.000 0.86/1.07 # Propositional encoding time : 0.000 0.86/1.07 # Propositional solver time : 0.000 0.86/1.07 # Success case prop preproc time : 0.000 0.86/1.07 # Success case prop encoding time : 0.000 0.86/1.07 # Success case prop solver time : 0.000 0.86/1.07 # Current number of processed clauses : 540 0.86/1.07 # Positive orientable unit clauses : 225 0.86/1.07 # Positive unorientable unit clauses: 1 0.86/1.07 # Negative unit clauses : 92 0.86/1.07 # Non-unit-clauses : 222 0.86/1.07 # Current number of unprocessed clauses: 1279 0.86/1.07 # ...number of literals in the above : 4507 0.86/1.07 # Current number of archived formulas : 0 0.86/1.07 # Current number of archived clauses : 1927 0.86/1.07 # Clause-clause subsumption calls (NU) : 1095551 0.86/1.07 # Rec. Clause-clause subsumption calls : 271145 0.86/1.07 # Non-unit clause-clause subsumptions : 1641 0.86/1.07 # Unit Clause-clause subsumption calls : 23609 0.86/1.07 # Rewrite failures with RHS unbound : 618 0.86/1.07 # BW rewrite match attempts : 835 0.86/1.07 # BW rewrite match successes : 158 0.86/1.07 # Condensation attempts : 0 0.86/1.07 # Condensation successes : 0 0.86/1.07 # Termbank termtop insertions : 678447 0.86/1.07 0.86/1.07 # ------------------------------------------------- 0.86/1.07 # User time : 0.702 s 0.86/1.07 # System time : 0.016 s 0.86/1.07 # Total time : 0.718 s 0.86/1.07 # Maximum resident set size: 2192 pages 0.86/1.07 EOF