0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E %s %d THM 0.12/0.34 % Computer : n022.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Thu Jul 4 09:41:24 EDT 2024 0.12/0.34 % CPUTime : 0.20/0.48 Running higher-order theorem proving 0.20/0.51 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.yifs4n7uiL/E---3.1_3206.p 40.68/13.62 # Version: 3.2.0-ho 40.68/13.62 # partial match(2): HSLMSMSSSSLCHSA 40.68/13.62 # Preprocessing class: HSLMSLSSSSLCHHA. 40.68/13.62 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 40.68/13.62 # Starting pre_casc_6 with 900s (5) cores 40.68/13.62 # Starting ehoh_best7 with 180s (1) cores 40.68/13.62 # Starting new_bool_8 with 180s (1) cores 40.68/13.62 # Starting new_ho_11 with 180s (1) cores 40.68/13.62 # new_bool_8 with pid 3287 completed with status 8 40.68/13.62 # pre_casc_6 with pid 3285 completed with status 0 40.68/13.62 # Result found by pre_casc_6 40.68/13.62 # partial match(2): HSLMSMSSSSLCHSA 40.68/13.62 # Preprocessing class: HSLMSLSSSSLCHHA. 40.68/13.62 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 40.68/13.62 # Starting pre_casc_6 with 900s (5) cores 40.68/13.62 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 40.68/13.62 # Search class: HGHSM-SMLM31-DHHFFSBC 40.68/13.62 # partial match(2): HGHSM-SMLM32-DHFFFSBC 40.68/13.62 # Scheduled 6 strats onto 5 cores with 888 seconds (888 total) 40.68/13.62 # Starting ho_unfolding_3 with 343s (1) cores 40.68/13.62 # Starting pre_casc_6 with 89s (1) cores 40.68/13.62 # Starting full_lambda_6 with 115s (1) cores 40.68/13.62 # Starting ehoh_best_sine with 115s (1) cores 40.68/13.62 # Starting ehoh_best8_lambda with 115s (1) cores 40.68/13.62 # ho_unfolding_3 with pid 3304 completed with status 0 40.68/13.62 # Result found by ho_unfolding_3 40.68/13.62 # partial match(2): HSLMSMSSSSLCHSA 40.68/13.62 # Preprocessing class: HSLMSLSSSSLCHHA. 40.68/13.62 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 40.68/13.62 # Starting pre_casc_6 with 900s (5) cores 40.68/13.62 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 40.68/13.62 # Search class: HGHSM-SMLM31-DHHFFSBC 40.68/13.62 # partial match(2): HGHSM-SMLM32-DHFFFSBC 40.68/13.62 # Scheduled 6 strats onto 5 cores with 888 seconds (888 total) 40.68/13.62 # Starting ho_unfolding_3 with 343s (1) cores 40.68/13.62 # Preprocessing time : 0.029 s 40.68/13.62 # Presaturation interreduction done 40.68/13.62 40.68/13.62 # Proof found! 40.68/13.62 # SZS status Theorem 40.68/13.62 # SZS output start CNFRefutation 40.68/13.62 thf(decl_23, type, c_False: $o). 40.68/13.62 thf(decl_25, type, c_not: $o > $o). 40.68/13.62 thf(decl_28, type, c_iff: $o > $o > $o). 40.68/13.62 thf(decl_29, type, c_In: $i > $i > $o). 40.68/13.62 thf(decl_30, type, c_Subq: $i > $i > $o). 40.68/13.62 thf(decl_31, type, c_Empty: $i). 40.68/13.62 thf(decl_33, type, c_Power: $i > $i). 40.68/13.62 thf(decl_86, type, c_Inj1: $i > $i). 40.68/13.62 thf(decl_87, type, c_Inj0: $i > $i). 40.68/13.62 thf(decl_90, type, c_setsum: $i > $i > $i). 40.68/13.62 thf(decl_191, type, esk1_0: ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i). 40.68/13.62 thf(decl_192, type, esk2_0: ($i > $i) > $i > $i). 40.68/13.62 thf(decl_193, type, esk3_0: ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i). 40.68/13.62 thf(decl_194, type, esk4_0: ($i > $i) > ($i > $i) > $i). 40.68/13.62 thf(decl_201, type, esk11_0: $i). 40.68/13.62 thf(decl_209, type, esk18_2: $i > $i > $i). 40.68/13.62 thf(decl_236, type, esk42_0: $i > (($i > $i > $i > $i) > $i) > $i > $i). 40.68/13.62 thf(decl_237, type, esk43_0: $i > $i > $i). 40.68/13.62 thf(decl_238, type, esk44_0: $i > $i > $i > $i). 40.68/13.62 thf(decl_239, type, esk45_1: ($i > $i) > $i > $i). 40.68/13.62 thf(decl_240, type, esk46_0: ($i > $i > $i) > $i). 40.68/13.62 thf(decl_245, type, esk51_0: (($i > $i > $i > $i) > $i) > $i > $i). 40.68/13.62 thf(ax13, axiom, ((c_not)=(^[X275:$o]:(((c_False)<=(X275))))), file('/export/starexec/sandbox2/tmp/tmp.yifs4n7uiL/E---3.1_3206.p', ax13)). 40.68/13.62 thf(conj, conjecture, ![X136:($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i, X137:($i > $i) > $i > $i, X138:((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i, X139:($i > $i) > ($i > $i) > $i]:(((![X6:$i, X140:$i, X141:$i, X142:$i]:(((X139 @ (^[X143:$i]:(X141)) @ (^[X144:$i]:(X142)))=(c_setsum @ (X138 @ (^[X145:($i > $i > $i > $i) > $i, X146:$i]:(c_Empty)) @ (X136 @ (^[X147:$i, X148:$i, X149:$i]:(X139 @ (^[X150:$i]:(X149)) @ (^[X151:$i]:(c_Empty)))) @ (^[X152:$i]:(c_Empty)) @ (^[X153:$i > $i > $i]:(c_Empty)))) @ c_Empty)))=>((((((![X6:$i, X154:$i, X155:$i > ($i > $i) > $i, X156:$i > $i]:(((X136 @ (^[X157:$i, X158:$i, X159:$i]:(X137 @ (^[X160:$i]:(X138 @ (^[X161:($i > $i > $i > $i) > $i, X162:$i]:(X159)) @ (X138 @ (^[X163:($i > $i > $i > $i) > $i, X164:$i]:(c_setsum @ c_Empty @ c_Empty)) @ X160))) @ (c_Inj1 @ c_Empty))) @ (^[X165:$i]:(X156 @ c_Empty)) @ (^[X166:$i > $i > $i]:(c_Empty)))=(X156 @ X6)))=>(c_False))<=![X167:$i > (($i > $i) > $i > $i) > $i, X168:$i, X169:$i, X170:$i]:(((X136 @ (^[X171:$i, X172:$i, X173:$i]:(X170)) @ (^[X174:$i]:(X169)) @ (^[X175:$i > $i > $i]:(c_Empty)))=(X169))))<=![X176:(($i > $i) > $i) > $i, X177:$i > $i > ($i > $i) > $i, X178:$i, X179:($i > $i) > ($i > $i) > $i]:(((X137 @ (^[X180:$i]:(X179 @ (^[X181:$i]:(c_setsum @ X181 @ X180)) @ (^[X182:$i]:(c_Empty)))) @ c_Empty)=(X179 @ (^[X183:$i]:(c_setsum @ (X138 @ (^[X184:($i > $i > $i > $i) > $i, X185:$i]:(c_Empty)) @ (X139 @ (^[X186:$i]:(X138 @ (^[X187:($i > $i > $i > $i) > $i, X188:$i]:(c_Empty)) @ c_Empty)) @ (^[X189:$i]:(X137 @ (^[X190:$i]:(c_Empty)) @ c_Empty)))) @ (X138 @ (^[X191:($i > $i > $i > $i) > $i, X192:$i]:(c_Empty)) @ (X138 @ (^[X193:($i > $i > $i > $i) > $i, X194:$i]:(c_setsum @ c_Empty @ c_Empty)) @ (X138 @ (^[X195:($i > $i > $i > $i) > $i, X196:$i]:(c_Empty)) @ c_Empty))))) @ (^[X197:$i]:(c_Inj1 @ (X137 @ (^[X198:$i]:(X179 @ (^[X199:$i]:(X137 @ (^[X200:$i]:(c_Empty)) @ c_Empty)) @ (^[X201:$i]:(c_Inj1 @ c_Empty)))) @ X178)))))))<=![X202:(($i > $i) > $i > $i) > $i, X203:$i, X204:$i, X205:$i]:(((X137 @ (^[X206:$i]:(c_Inj1 @ (X137 @ (^[X207:$i]:(c_Inj0 @ (X136 @ (^[X208:$i, X209:$i, X210:$i]:(c_Empty)) @ (^[X211:$i]:(c_Empty)) @ (^[X40:$i > $i > $i]:(c_Empty))))) @ (c_Inj1 @ X205)))) @ (c_Inj0 @ (X138 @ (^[X212:($i > $i > $i > $i) > $i, X213:$i]:(X213)) @ X203)))=(c_Inj0 @ (X138 @ (^[X214:($i > $i > $i > $i) > $i, X215:$i]:(X205)) @ (c_setsum @ c_Empty @ c_Empty))))))<=![X216:$i > ($i > $i > $i) > $i, X217:$i > $i, X218:((($i > $i) > $i) > $i) > $i, X219:$i > $i]:(((X138 @ (^[X220:($i > $i > $i > $i) > $i, X221:$i]:(X219 @ (X138 @ (^[X222:($i > $i > $i > $i) > $i, X223:$i]:(X136 @ (^[X224:$i, X225:$i, X44:$i]:(c_Inj1 @ c_Empty)) @ (^[X226:$i]:(c_Inj0 @ c_Empty)) @ (^[X42:$i > $i > $i]:(X139 @ (^[X227:$i]:(c_Empty)) @ (^[X228:$i]:(c_Empty)))))) @ (c_Inj0 @ (X136 @ (^[X229:$i, X230:$i, X231:$i]:(c_Empty)) @ (^[X232:$i]:(c_Empty)) @ (^[X40:$i > $i > $i]:(c_Empty))))))) @ (X139 @ (^[X233:$i]:(c_setsum @ X233 @ c_Empty)) @ (^[X234:$i]:(c_Empty))))=(c_setsum @ (X219 @ (X217 @ (X136 @ (^[X235:$i, X236:$i, X237:$i]:(c_Inj1 @ c_Empty)) @ (^[X238:$i]:(X136 @ (^[X239:$i, X240:$i, X241:$i]:(c_Empty)) @ (^[X242:$i]:(c_Empty)) @ (^[X243:$i > $i > $i]:(c_Empty)))) @ (^[X244:$i > $i > $i]:(c_setsum @ c_Empty @ c_Empty))))) @ (X137 @ (^[X245:$i]:(X219 @ c_Empty)) @ (X217 @ (X216 @ (X137 @ (^[X246:$i]:(c_Empty)) @ c_Empty) @ (^[X247:$i, X248:$i]:(c_Empty)))))))))<=![X249:$i > $i, X35:$i > $i > $i, X250:$i > $i, X251:$i]:(((X138 @ (^[X252:($i > $i > $i > $i) > $i, X253:$i]:(X251)) @ c_Empty)=(X251)))))<=![X254:$i > (($i > $i) > $i) > $i, X255:($i > $i) > $i, X256:(($i > $i > $i) > ($i > $i) > $i) > $i, X257:$i]:(((X139 @ (^[X258:$i]:(c_Inj1 @ c_Empty)) @ (^[X259:$i]:(c_setsum @ c_Empty @ c_Empty)))=(c_Inj1 @ c_Empty))))), file('/export/starexec/sandbox2/tmp/tmp.yifs4n7uiL/E---3.1_3206.p', conj)). 40.68/13.62 thf(ax5, axiom, (c_not @ (?[X263:$i]:((c_In @ X263 @ c_Empty)))), file('/export/starexec/sandbox2/tmp/tmp.yifs4n7uiL/E---3.1_3206.p', ax5)). 40.68/13.62 thf(ax17, axiom, ((c_Subq)=(^[X30:$i, X2:$i]:(![X4:$i]:(((c_In @ X4 @ X30)=>(c_In @ X4 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.yifs4n7uiL/E---3.1_3206.p', ax17)). 40.68/13.62 thf(ax7, axiom, ![X110:$i, X2:$i]:((c_iff @ ((c_In @ X2 @ (c_Power @ X110))) @ ((c_Subq @ X2 @ X110)))), file('/export/starexec/sandbox2/tmp/tmp.yifs4n7uiL/E---3.1_3206.p', ax7)). 40.68/13.62 thf(ax3, axiom, ![X69:$o, X70:$o]:((((X69)<=>(X70))<=(c_iff @ ((X69)) @ ((X70))))), file('/export/starexec/sandbox2/tmp/tmp.yifs4n7uiL/E---3.1_3206.p', ax3)). 40.68/13.62 thf(c_0_6, plain, ![X383:$o]:(((c_not @ ((X383)))<=>((X383)=>(c_False)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])])). 40.68/13.62 thf(c_0_7, negated_conjecture, ~(![X136:($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i, X137:($i > $i) > $i > $i, X138:((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i, X139:($i > $i) > ($i > $i) > $i]:((![X254:$i > (($i > $i) > $i) > $i, X255:($i > $i) > $i, X256:(($i > $i > $i) > ($i > $i) > $i) > $i, X257:$i]:(((X139 @ (^[Z0/* 86 */:$i]:(c_Inj1 @ c_Empty)) @ (^[Z0/* 90 */:$i]:(c_setsum @ c_Empty @ c_Empty)))=(c_Inj1 @ c_Empty)))=>(![X6:$i, X140:$i, X141:$i, X142:$i]:(((X139 @ (^[Z0/* -282 */:$i]:(X141)) @ (^[Z0/* -284 */:$i]:(X142)))=(c_setsum @ (X138 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(c_Empty)) @ (X136 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(X139 @ (^[Z3/* 1 */:$i]:(Z2)) @ (^[Z3/* 31 */:$i]:(c_Empty)))) @ (^[Z0/* 31 */:$i]:(c_Empty)) @ (^[Z0/* 31 */:$i > $i > $i]:(c_Empty)))) @ c_Empty)))=>(![X249:$i > $i, X35:$i > $i > $i, X250:$i > $i, X251:$i]:(((X138 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(X251)) @ c_Empty)=(X251)))=>(![X216:$i > ($i > $i > $i) > $i, X217:$i > $i, X218:((($i > $i) > $i) > $i) > $i, X219:$i > $i]:(((X138 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(X219 @ (X138 @ (^[Z2/* 19 */:($i > $i > $i > $i) > $i, Z3:$i]:(X136 @ (^[Z4/* 19 */:$i, Z5:$i, Z6:$i]:(c_Inj1 @ c_Empty)) @ (^[Z4/* 87 */:$i]:(c_Inj0 @ c_Empty)) @ (^[Z4/* 17 */:$i > $i > $i]:(X139 @ (^[Z5/* 31 */:$i]:(c_Empty)) @ (^[Z5/* 31 */:$i]:(c_Empty)))))) @ (c_Inj0 @ (X136 @ (^[Z2/* 19 */:$i, Z3:$i, Z4:$i]:(c_Empty)) @ (^[Z2/* 31 */:$i]:(c_Empty)) @ (^[Z2/* 31 */:$i > $i > $i]:(c_Empty))))))) @ (X139 @ (^[Z0/* 90 */:$i]:(c_setsum @ Z0 @ c_Empty)) @ (^[Z0/* 31 */:$i]:(c_Empty))))=(c_setsum @ (X219 @ (X217 @ (X136 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(c_Inj1 @ c_Empty)) @ (^[Z0/* 17 */:$i]:(X136 @ (^[Z1/* 19 */:$i, Z2:$i, Z3:$i]:(c_Empty)) @ (^[Z1/* 31 */:$i]:(c_Empty)) @ (^[Z1/* 31 */:$i > $i > $i]:(c_Empty)))) @ (^[Z0/* 90 */:$i > $i > $i]:(c_setsum @ c_Empty @ c_Empty))))) @ (X137 @ (^[Z0/* 17 */:$i]:(X219 @ c_Empty)) @ (X217 @ (X216 @ (X137 @ (^[Z0/* 31 */:$i]:(c_Empty)) @ c_Empty) @ (^[Z0/* 19 */:$i, Z1:$i]:(c_Empty))))))))=>(![X202:(($i > $i) > $i > $i) > $i, X203:$i, X204:$i, X205:$i]:(((X137 @ (^[Z0/* 86 */:$i]:(c_Inj1 @ (X137 @ (^[Z1/* 87 */:$i]:(c_Inj0 @ (X136 @ (^[Z2/* 19 */:$i, Z3:$i, Z4:$i]:(c_Empty)) @ (^[Z2/* 31 */:$i]:(c_Empty)) @ (^[Z2/* 31 */:$i > $i > $i]:(c_Empty))))) @ (c_Inj1 @ X205)))) @ (c_Inj0 @ (X138 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(Z1)) @ X203)))=(c_Inj0 @ (X138 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(X205)) @ (c_setsum @ c_Empty @ c_Empty)))))=>(![X176:(($i > $i) > $i) > $i, X177:$i > $i > ($i > $i) > $i, X178:$i, X179:($i > $i) > ($i > $i) > $i]:(((X137 @ (^[Z0/* 17 */:$i]:(X179 @ (^[Z1/* 90 */:$i]:(c_setsum @ Z1 @ Z0)) @ (^[Z1/* 31 */:$i]:(c_Empty)))) @ c_Empty)=(X179 @ (^[Z0/* 90 */:$i]:(c_setsum @ (X138 @ (^[Z1/* 19 */:($i > $i > $i > $i) > $i, Z2:$i]:(c_Empty)) @ (X139 @ (^[Z1/* 17 */:$i]:(X138 @ (^[Z2/* 19 */:($i > $i > $i > $i) > $i, Z3:$i]:(c_Empty)) @ c_Empty)) @ (^[Z1/* 17 */:$i]:(X137 @ (^[Z2/* 31 */:$i]:(c_Empty)) @ c_Empty)))) @ (X138 @ (^[Z1/* 19 */:($i > $i > $i > $i) > $i, Z2:$i]:(c_Empty)) @ (X138 @ (^[Z1/* 19 */:($i > $i > $i > $i) > $i, Z2:$i]:(c_setsum @ c_Empty @ c_Empty)) @ (X138 @ (^[Z1/* 19 */:($i > $i > $i > $i) > $i, Z2:$i]:(c_Empty)) @ c_Empty))))) @ (^[Z0/* 86 */:$i]:(c_Inj1 @ (X137 @ (^[Z1/* 17 */:$i]:(X179 @ (^[Z2/* 17 */:$i]:(X137 @ (^[Z3/* 31 */:$i]:(c_Empty)) @ c_Empty)) @ (^[Z2/* 86 */:$i]:(c_Inj1 @ c_Empty)))) @ X178))))))=>(![X167:$i > (($i > $i) > $i > $i) > $i, X168:$i, X169:$i, X170:$i]:(((X136 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(X170)) @ (^[Z0/* -338 */:$i]:(X169)) @ (^[Z0/* 31 */:$i > $i > $i]:(c_Empty)))=(X169)))=>(![X6:$i, X154:$i, X155:$i > ($i > $i) > $i, X156:$i > $i]:(((X136 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(X137 @ (^[Z3/* 17 */:$i]:(X138 @ (^[Z4/* 19 */:($i > $i > $i > $i) > $i, Z5:$i]:(Z2)) @ (X138 @ (^[Z4/* 19 */:($i > $i > $i > $i) > $i, Z5:$i]:(c_setsum @ c_Empty @ c_Empty)) @ Z3))) @ (c_Inj1 @ c_Empty))) @ (^[Z0/* 17 */:$i]:(X156 @ c_Empty)) @ (^[Z0/* 31 */:$i > $i > $i]:(c_Empty)))=(X156 @ X6)))=>(c_False))))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])])])). 40.68/13.62 thf(c_0_8, axiom, ((~(?[X263:$i]:((c_In @ X263 @ c_Empty)))|(c_not @ $true))&(?[X263:$i]:((c_In @ X263 @ c_Empty))|(c_not @ $false))), inference(fool_unroll,[status(thm)],[ax5])). 40.68/13.62 thf(c_0_9, plain, ![X514:$o]:(((~(c_not @ ((X514)))|(~(X514)|(c_False)))&(((X514)|(c_not @ ((X514))))&(~(c_False)|(c_not @ ((X514))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])). 40.68/13.62 thf(c_0_10, negated_conjecture, ![X484:$i, X485:$i, X486:$i, X487:$i > ($i > $i > $i) > $i, X488:$i > $i, X489:$i > $i, X490:$i, X491:$i, X492:$i, X493:($i > $i) > ($i > $i) > $i, X494:$i, X495:$i, X496:$i, X497:$i > $i]:((((esk4_0 @ (^[Z0/* 86 */:$i]:(c_Inj1 @ c_Empty)) @ (^[Z0/* 90 */:$i]:(c_setsum @ c_Empty @ c_Empty)))=(c_Inj1 @ c_Empty))&(((esk4_0 @ (^[Z0/* -968 */:$i]:(X484)) @ (^[Z0/* -970 */:$i]:(X485)))=(c_setsum @ (esk3_0 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(c_Empty)) @ (esk1_0 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(esk4_0 @ (^[Z3/* 1 */:$i]:(Z2)) @ (^[Z3/* 31 */:$i]:(c_Empty)))) @ (^[Z0/* 31 */:$i]:(c_Empty)) @ (^[Z0/* 31 */:$i > $i > $i]:(c_Empty)))) @ c_Empty))&(((esk3_0 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(X486)) @ c_Empty)=(X486))&(((esk3_0 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(X489 @ (esk3_0 @ (^[Z2/* 19 */:($i > $i > $i > $i) > $i, Z3:$i]:(esk1_0 @ (^[Z4/* 19 */:$i, Z5:$i, Z6:$i]:(c_Inj1 @ c_Empty)) @ (^[Z4/* 87 */:$i]:(c_Inj0 @ c_Empty)) @ (^[Z4/* 194 */:$i > $i > $i]:(esk4_0 @ (^[Z5/* 31 */:$i]:(c_Empty)) @ (^[Z5/* 31 */:$i]:(c_Empty)))))) @ (c_Inj0 @ (esk1_0 @ (^[Z2/* 19 */:$i, Z3:$i, Z4:$i]:(c_Empty)) @ (^[Z2/* 31 */:$i]:(c_Empty)) @ (^[Z2/* 31 */:$i > $i > $i]:(c_Empty))))))) @ (esk4_0 @ (^[Z0/* 90 */:$i]:(c_setsum @ Z0 @ c_Empty)) @ (^[Z0/* 31 */:$i]:(c_Empty))))=(c_setsum @ (X489 @ (X488 @ (esk1_0 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(c_Inj1 @ c_Empty)) @ (^[Z0/* 191 */:$i]:(esk1_0 @ (^[Z1/* 19 */:$i, Z2:$i, Z3:$i]:(c_Empty)) @ (^[Z1/* 31 */:$i]:(c_Empty)) @ (^[Z1/* 31 */:$i > $i > $i]:(c_Empty)))) @ (^[Z0/* 90 */:$i > $i > $i]:(c_setsum @ c_Empty @ c_Empty))))) @ (esk2_0 @ (^[Z0/* 17 */:$i]:(X489 @ c_Empty)) @ (X488 @ (X487 @ (esk2_0 @ (^[Z0/* 31 */:$i]:(c_Empty)) @ c_Empty) @ (^[Z0/* 19 */:$i, Z1:$i]:(c_Empty)))))))&(((esk2_0 @ (^[Z0/* 86 */:$i]:(c_Inj1 @ (esk2_0 @ (^[Z1/* 87 */:$i]:(c_Inj0 @ (esk1_0 @ (^[Z2/* 19 */:$i, Z3:$i, Z4:$i]:(c_Empty)) @ (^[Z2/* 31 */:$i]:(c_Empty)) @ (^[Z2/* 31 */:$i > $i > $i]:(c_Empty))))) @ (c_Inj1 @ X491)))) @ (c_Inj0 @ (esk3_0 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(Z1)) @ X490)))=(c_Inj0 @ (esk3_0 @ (^[Z0/* 19 */:($i > $i > $i > $i) > $i, Z1:$i]:(X491)) @ (c_setsum @ c_Empty @ c_Empty))))&(((esk2_0 @ (^[Z0/* 17 */:$i]:(X493 @ (^[Z1/* 90 */:$i]:(c_setsum @ Z1 @ Z0)) @ (^[Z1/* 31 */:$i]:(c_Empty)))) @ c_Empty)=(X493 @ (^[Z0/* 90 */:$i]:(c_setsum @ (esk3_0 @ (^[Z1/* 19 */:($i > $i > $i > $i) > $i, Z2:$i]:(c_Empty)) @ (esk4_0 @ (^[Z1/* 193 */:$i]:(esk3_0 @ (^[Z2/* 19 */:($i > $i > $i > $i) > $i, Z3:$i]:(c_Empty)) @ c_Empty)) @ (^[Z1/* 192 */:$i]:(esk2_0 @ (^[Z2/* 31 */:$i]:(c_Empty)) @ c_Empty)))) @ (esk3_0 @ (^[Z1/* 19 */:($i > $i > $i > $i) > $i, Z2:$i]:(c_Empty)) @ (esk3_0 @ (^[Z1/* 19 */:($i > $i > $i > $i) > $i, Z2:$i]:(c_setsum @ c_Empty @ c_Empty)) @ (esk3_0 @ (^[Z1/* 19 */:($i > $i > $i > $i) > $i, Z2:$i]:(c_Empty)) @ c_Empty))))) @ (^[Z0/* 86 */:$i]:(c_Inj1 @ (esk2_0 @ (^[Z1/* 17 */:$i]:(X493 @ (^[Z2/* 192 */:$i]:(esk2_0 @ (^[Z3/* 31 */:$i]:(c_Empty)) @ c_Empty)) @ (^[Z2/* 86 */:$i]:(c_Inj1 @ c_Empty)))) @ X492)))))&(((esk1_0 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(X495)) @ (^[Z0/* -988 */:$i]:(X494)) @ (^[Z0/* 31 */:$i > $i > $i]:(c_Empty)))=(X494))&(((esk1_0 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(esk2_0 @ (^[Z3/* 193 */:$i]:(esk3_0 @ (^[Z4/* 19 */:($i > $i > $i > $i) > $i, Z5:$i]:(Z2)) @ (esk3_0 @ (^[Z4/* 19 */:($i > $i > $i > $i) > $i, Z5:$i]:(c_setsum @ c_Empty @ c_Empty)) @ Z3))) @ (c_Inj1 @ c_Empty))) @ (^[Z0/* 17 */:$i]:(X497 @ c_Empty)) @ (^[Z0/* 31 */:$i > $i > $i]:(c_Empty)))=(X497 @ X496))&~(c_False)))))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])])])). 40.68/13.62 thf(c_0_11, plain, ![X406:$i, X407:$i]:(((c_Subq @ X406 @ X407)<=>![X4:$i]:(((c_In @ X4 @ X406)=>(c_In @ X4 @ X407))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])])). 40.68/13.62 thf(c_0_12, plain, ![X1076:$i, X1077:($i > $i > $i > $i) > $i]:(((esk51_0 @ X1077 @ X1076)=(X1076))), inference(variable_rename,[status(thm)],[])). 40.68/13.62 thf(c_0_13, plain, ![X907:$i > $i > $i]:(((esk46_0 @ X907)=(c_Empty))), introduced(definition)). 40.68/13.62 thf(c_0_14, plain, ![X906:$i, X13:$i > $i]:(((esk45_1 @ X13 @ X906)=(X13 @ c_Empty))), introduced(definition)). 40.68/13.62 thf(c_0_15, plain, ![X905:$i, X904:$i, X903:$i]:(((esk44_0 @ X903 @ X904 @ X905)=(esk2_0 @ (esk43_0 @ X905) @ (c_Inj1 @ c_Empty)))), introduced(definition)). 40.68/13.62 thf(c_0_16, plain, ![X901:$i, X902:$i]:(((esk43_0 @ X902 @ X901)=(esk3_0 @ (esk42_0 @ X902) @ (esk3_0 @ (esk42_0 @ (c_setsum @ c_Empty @ c_Empty)) @ X901)))), introduced(definition)). 40.68/13.62 thf(c_0_17, plain, ![X897:$i, X896:($i > $i > $i > $i) > $i, X898:$i]:(((esk42_0 @ X898 @ X896 @ X897)=(X898))), introduced(definition)). 40.68/13.62 thf(c_0_18, plain, ![X510:$i]:(((~(c_In @ X510 @ c_Empty)|(c_not @ $true))&((c_In @ esk11_0 @ c_Empty)|(c_not @ $false)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])). 40.68/13.62 thf(c_0_19, plain, ((c_False)|~((c_not @ (($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9])])])). 40.68/13.62 thf(c_0_20, negated_conjecture, ~((c_False)), inference(split_conjunct,[status(thm)],[c_0_10])). 40.68/13.62 thf(c_0_21, axiom, ![X110:$i, X2:$i]:(((~(c_In @ X2 @ (c_Power @ X110))|((~(c_Subq @ X2 @ X110)|(c_iff @ $true @ $true))&((c_Subq @ X2 @ X110)|(c_iff @ $true @ $false))))&((c_In @ X2 @ (c_Power @ X110))|((~(c_Subq @ X2 @ X110)|(c_iff @ $false @ $true))&((c_Subq @ X2 @ X110)|(c_iff @ $false @ $false)))))), inference(fool_unroll,[status(thm)],[ax7])). 40.68/13.62 thf(c_0_22, plain, ![X69:$o, X70:$o]:(((c_iff @ ((X69)) @ ((X70)))=>((X69)<=>(X70)))), inference(fof_simplification,[status(thm)],[ax3])). 40.68/13.62 thf(c_0_23, plain, ![X559:$i, X560:$i, X561:$i, X562:$i, X563:$i]:(((~(c_Subq @ X559 @ X560)|(~(c_In @ X561 @ X559)|(c_In @ X561 @ X560)))&(((c_In @ (esk18_2 @ X562 @ X563) @ X562)|(c_Subq @ X562 @ X563))&(~(c_In @ (esk18_2 @ X562 @ X563) @ X563)|(c_Subq @ X562 @ X563))))), 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_11])])])])])])])). 40.68/13.62 thf(c_0_24, plain, ![X145:($i > $i > $i > $i) > $i, X2:$i]:(((esk51_0 @ X145 @ X2)=(X2))), inference(split_conjunct,[status(thm)],[c_0_12])). 40.68/13.62 thf(c_0_25, negated_conjecture, ![X13:$i > $i, X2:$i]:(((esk1_0 @ esk44_0 @ (esk45_1 @ X13) @ esk46_0)=(X13 @ X2))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_17])). 40.68/13.62 thf(c_0_26, plain, ![X2:$i]:(((c_not @ (($true)))|~((c_In @ X2 @ c_Empty)))), inference(split_conjunct,[status(thm)],[c_0_18])). 40.68/13.62 thf(c_0_27, plain, ~((c_not @ (($true)))), inference(sr,[status(thm)],[c_0_19, c_0_20])). 40.68/13.62 thf(c_0_28, plain, ![X551:$i, X552:$i]:((((~(c_Subq @ X552 @ X551)|(c_iff @ $true @ $true)|~(c_In @ X552 @ (c_Power @ X551)))&((c_Subq @ X552 @ X551)|(c_iff @ $true @ $false)|~(c_In @ X552 @ (c_Power @ X551))))&((~(c_Subq @ X552 @ X551)|(c_iff @ $false @ $true)|(c_In @ X552 @ (c_Power @ X551)))&((c_Subq @ X552 @ X551)|(c_iff @ $false @ $false)|(c_In @ X552 @ (c_Power @ X551)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_21])])])). 40.68/13.62 thf(c_0_29, plain, ![X581:$o, X582:$o]:(((~(X581)|(X582)|~(c_iff @ ((X581)) @ ((X582))))&(~(X582)|(X581)|~(c_iff @ ((X581)) @ ((X582)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])). 40.68/13.62 thf(c_0_30, plain, ![X2:$i, X3:$i]:(((c_In @ (esk18_2 @ X2 @ X3) @ X2)|(c_Subq @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_23])). 40.68/13.62 thf(c_0_31, plain, ![X2:$i]:(((c_Empty)=(X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_25]), c_0_24])). 40.68/13.62 thf(c_0_32, plain, ![X2:$i]:(~((c_In @ X2 @ c_Empty))), inference(sr,[status(thm)],[c_0_26, c_0_27])). 40.68/13.62 thf(c_0_33, plain, ![X2:$i, X3:$i]:(((c_iff @ (~($true)) @ (($true)))|(c_In @ X2 @ (c_Power @ X3))|~((c_Subq @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_28])). 40.68/13.62 thf(c_0_34, plain, ~((c_iff @ (~($true)) @ (($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_29])])])). 40.68/13.62 thf(c_0_35, plain, ![X2:$i, X3:$i]:(((c_In @ (esk1_0 @ esk44_0 @ (esk45_1 @ (esk18_2 @ X2)) @ esk46_0) @ X2)|(c_Subq @ X2 @ X3))), inference(rw,[status(thm)],[c_0_30, c_0_25])). 40.68/13.62 thf(c_0_36, plain, ![X2:$i, X3:$i]:(((X2)=(X3))), inference(spm,[status(thm)],[c_0_31, c_0_31])). 40.68/13.62 thf(c_0_37, plain, ![X2:$i, X3:$i]:(~((c_In @ X2 @ X3))), inference(spm,[status(thm)],[c_0_32, c_0_31])). 40.68/13.62 thf(c_0_38, plain, ![X2:$i, X3:$i]:(((c_In @ X2 @ (c_Power @ X3))|~((c_Subq @ X2 @ X3)))), inference(sr,[status(thm)],[c_0_33, c_0_34])). 40.68/13.62 thf(c_0_39, plain, ![X2:$i, X3:$i]:((c_Subq @ X2 @ X3)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36]), c_0_37])). 40.68/13.62 thf(c_0_40, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_31]), c_0_39])]), c_0_37]), ['proof']). 40.68/13.62 # SZS output end CNFRefutation 40.68/13.62 # Parsed axioms : 213 40.68/13.62 # Removed by relevancy pruning/SinE : 145 40.68/13.62 # Initial clauses : 465131 40.68/13.62 # Removed in clause preprocessing : 463015 40.68/13.62 # Initial clauses in saturation : 2116 40.68/13.62 # Processed clauses : 2959 40.68/13.62 # ...of these trivial : 328 40.68/13.62 # ...subsumed : 1548 40.68/13.62 # ...remaining for further processing : 1082 40.68/13.62 # Other redundant clauses eliminated : 45 40.68/13.62 # Clauses deleted for lack of memory : 0 40.68/13.62 # Backward-subsumed : 232 40.68/13.62 # Backward-rewritten : 86 40.68/13.62 # Generated clauses : 1083 40.68/13.62 # ...of the previous two non-redundant : 953 40.68/13.62 # ...aggressively subsumed : 0 40.68/13.62 # Contextual simplify-reflections : 101 40.68/13.62 # Paramodulations : 985 40.68/13.62 # Factorizations : 0 40.68/13.62 # NegExts : 3 40.68/13.62 # Equation resolutions : 45 40.68/13.62 # Disequality decompositions : 0 40.68/13.62 # Total rewrite steps : 1656 40.68/13.62 # ...of those cached : 1352 40.68/13.62 # Propositional unsat checks : 0 40.68/13.62 # Propositional check models : 0 40.68/13.62 # Propositional check unsatisfiable : 0 40.68/13.62 # Propositional clauses : 0 40.68/13.62 # Propositional clauses after purity: 0 40.68/13.62 # Propositional unsat core size : 0 40.68/13.62 # Propositional preprocessing time : 0.000 40.68/13.62 # Propositional encoding time : 0.000 40.68/13.62 # Propositional solver time : 0.000 40.68/13.62 # Success case prop preproc time : 0.000 40.68/13.62 # Success case prop encoding time : 0.000 40.68/13.62 # Success case prop solver time : 0.000 40.68/13.62 # Current number of processed clauses : 240 40.68/13.62 # Positive orientable unit clauses : 121 40.68/13.62 # Positive unorientable unit clauses: 1 40.68/13.62 # Negative unit clauses : 34 40.68/13.62 # Non-unit-clauses : 84 40.68/13.62 # Current number of unprocessed clauses: 384 40.68/13.62 # ...number of literals in the above : 1123 40.68/13.62 # Current number of archived formulas : 0 40.68/13.62 # Current number of archived clauses : 807 40.68/13.62 # Clause-clause subsumption calls (NU) : 96396 40.68/13.62 # Rec. Clause-clause subsumption calls : 43079 40.68/13.62 # Non-unit clause-clause subsumptions : 642 40.68/13.62 # Unit Clause-clause subsumption calls : 4378 40.68/13.62 # Rewrite failures with RHS unbound : 0 40.68/13.62 # BW rewrite match attempts : 1975 40.68/13.62 # BW rewrite match successes : 143 40.68/13.62 # Condensation attempts : 2989 40.68/13.62 # Condensation successes : 18 40.68/13.62 # Termbank termtop insertions : 19608236 40.68/13.62 # Search garbage collected termcells : 1981406 40.68/13.62 40.68/13.62 # ------------------------------------------------- 40.68/13.62 # User time : 11.878 s 40.68/13.62 # System time : 0.844 s 40.68/13.62 # Total time : 12.722 s 40.68/13.62 # Maximum resident set size: 1248248 pages 40.68/13.62 40.68/13.62 # ------------------------------------------------- 40.68/13.62 # User time : 12.943 s 40.68/13.62 # System time : 1.309 s 40.68/13.62 # Total time : 14.252 s 40.68/13.62 # Maximum resident set size: 2224 pages 40.68/13.62 % E---3.1 exiting 40.68/13.62 % E exiting 40.68/13.62 EOF