0.06/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % 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 0.12/0.33 % Computer : n005.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1200 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Jul 13 13:48:18 EDT 2021 0.12/0.33 % CPUTime : 0.12/0.33 % Number of cores: 8 0.12/0.33 % Python version: Python 3.6.8 0.12/0.33 # Version: 2.6rc1-ho 0.18/0.34 # No SInE strategy applied 0.18/0.34 # Trying AutoSched0 for 59 seconds 1.35/1.56 # AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr 1.35/1.56 # and selection function SelectMaxLComplexAvoidPosPred. 1.35/1.56 # 1.35/1.56 # Preprocessing time : 0.448 s 1.35/1.56 # Presaturation interreduction done 1.35/1.56 1.35/1.56 # Proof found! 1.35/1.56 # SZS status Theorem 1.35/1.56 # SZS output start CNFRefutation 1.35/1.56 thf(ax13, axiom, (c_not)=(^[X1:$o]:(c_False<=X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax13)). 1.35/1.56 thf(conj, conjecture, ![X22:($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i, X23:($i > $i) > $i > $i, X24:((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i, X25:($i > $i) > ($i > $i) > $i]:((((((![X26:(($i > $i) > $i) > $i, X27:$i > $i > ($i > $i) > $i, X28:$i, X29:($i > $i) > ($i > $i) > $i]:(X23 @ (^[X30:$i]:X29 @ (^[X31:$i]:c_setsum @ X31 @ X30) @ (^[X31:$i]:c_Empty)) @ c_Empty)=(X29 @ (^[X30:$i]:c_setsum @ (X24 @ (^[X32:($i > $i > $i > $i) > $i, X33:$i]:c_Empty) @ (X25 @ (^[X31:$i]:X24 @ (^[X34:($i > $i > $i > $i) > $i, X35:$i]:c_Empty) @ c_Empty) @ (^[X31:$i]:X23 @ (^[X33:$i]:c_Empty) @ c_Empty))) @ (X24 @ (^[X36:($i > $i > $i > $i) > $i, X33:$i]:c_Empty) @ (X24 @ (^[X37:($i > $i > $i > $i) > $i, X33:$i]:c_setsum @ c_Empty @ c_Empty) @ (X24 @ (^[X38:($i > $i > $i > $i) > $i, X33:$i]:c_Empty) @ c_Empty)))) @ (^[X30:$i]:c_Inj1 @ (X23 @ (^[X31:$i]:X29 @ (^[X33:$i]:X23 @ (^[X35:$i]:c_Empty) @ c_Empty) @ (^[X33:$i]:c_Inj1 @ c_Empty)) @ X28)))=>((![X39:$i, X40:$i, X41:$i > ($i > $i) > $i, X42:$i > $i]:(X22 @ (^[X30:$i, X31:$i, X33:$i]:X23 @ (^[X35:$i]:X24 @ (^[X43:($i > $i > $i > $i) > $i, X44:$i]:X33) @ (X24 @ (^[X43:($i > $i > $i > $i) > $i, X44:$i]:c_setsum @ c_Empty @ c_Empty) @ X35)) @ (c_Inj1 @ c_Empty)) @ (^[X30:$i]:X42 @ c_Empty) @ (^[X45:$i > $i > $i]:c_Empty))=(X42 @ X39)=>c_False)<=![X46:$i > (($i > $i) > $i > $i) > $i, X47:$i, X28:$i, X48:$i]:(X22 @ (^[X30:$i, X31:$i, X33:$i]:X48) @ (^[X30:$i]:X28) @ (^[X49:$i > $i > $i]:c_Empty))=(X28)))<=![X50:(($i > $i) > $i > $i) > $i, X51:$i, X28:$i, X52:$i]:(X23 @ (^[X30:$i]:c_Inj1 @ (X23 @ (^[X31:$i]:c_Inj0 @ (X22 @ (^[X33:$i, X35:$i, X53:$i]:c_Empty) @ (^[X33:$i]:c_Empty) @ (^[X54:$i > $i > $i]:c_Empty))) @ (c_Inj1 @ X52))) @ (c_Inj0 @ (X24 @ (^[X55:($i > $i > $i > $i) > $i, X31:$i]:X31) @ X51)))=(c_Inj0 @ (X24 @ (^[X56:($i > $i > $i > $i) > $i, X31:$i]:X52) @ (c_setsum @ c_Empty @ c_Empty))))<=![X57:$i > ($i > $i > $i) > $i, X58:$i > $i, X59:((($i > $i) > $i) > $i) > $i, X60:$i > $i]:(X24 @ (^[X61:($i > $i > $i > $i) > $i, X31:$i]:X60 @ (X24 @ (^[X62:($i > $i > $i > $i) > $i, X35:$i]:X22 @ (^[X63:$i, X44:$i, X64:$i]:c_Inj1 @ c_Empty) @ (^[X65:$i]:c_Inj0 @ c_Empty) @ (^[X66:$i > $i > $i]:X25 @ (^[X44:$i]:c_Empty) @ (^[X44:$i]:c_Empty))) @ (c_Inj0 @ (X22 @ (^[X33:$i, X35:$i, X67:$i]:c_Empty) @ (^[X33:$i]:c_Empty) @ (^[X68:$i > $i > $i]:c_Empty))))) @ (X25 @ (^[X30:$i]:c_setsum @ X30 @ c_Empty) @ (^[X30:$i]:c_Empty)))=(c_setsum @ (X60 @ (X58 @ (X22 @ (^[X30:$i, X31:$i, X33:$i]:c_Inj1 @ c_Empty) @ (^[X30:$i]:X22 @ (^[X31:$i, X33:$i, X35:$i]:c_Empty) @ (^[X31:$i]:c_Empty) @ (^[X69:$i > $i > $i]:c_Empty)) @ (^[X70:$i > $i > $i]:c_setsum @ c_Empty @ c_Empty)))) @ (X23 @ (^[X30:$i]:X60 @ c_Empty) @ (X58 @ (X57 @ (X23 @ (^[X30:$i]:c_Empty) @ c_Empty) @ (^[X30:$i, X31:$i]:c_Empty))))))<=![X71:$i > $i, X72:$i > $i > $i, X73:$i > $i, X74:$i]:(X24 @ (^[X75:($i > $i > $i > $i) > $i, X31:$i]:X74) @ c_Empty)=(X74))<=![X76:$i, X77:$i, X28:$i, X78:$i]:(X25 @ (^[X30:$i]:X28) @ (^[X30:$i]:X78))=(c_setsum @ (X24 @ (^[X79:($i > $i > $i > $i) > $i, X31:$i]:c_Empty) @ (X22 @ (^[X30:$i, X31:$i, X33:$i]:X25 @ (^[X35:$i]:X33) @ (^[X35:$i]:c_Empty)) @ (^[X30:$i]:c_Empty) @ (^[X80:$i > $i > $i]:c_Empty))) @ c_Empty))<=![X81:$i > (($i > $i) > $i) > $i, X82:($i > $i) > $i, X83:(($i > $i > $i) > ($i > $i) > $i) > $i, X84:$i]:(X25 @ (^[X30:$i]:c_Inj1 @ c_Empty) @ (^[X30:$i]:c_setsum @ c_Empty @ c_Empty))=(c_Inj1 @ c_Empty)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj)). 1.35/1.56 thf(ax5, axiom, c_not @ (?[X214:$i]:c_In @ X214 @ c_Empty), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax5)). 1.35/1.56 thf(ax7, axiom, ![X261:$i, X262:$i]:c_iff @ (c_In @ X262 @ (c_Power @ X261)) @ (c_Subq @ X262 @ X261), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax7)). 1.35/1.56 thf(ax3, axiom, ![X1:$o, X2:$o]:(c_iff @ (X1) @ (X2)=>(X1<=>X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)). 1.35/1.56 thf(ax17, axiom, (c_Subq)=(^[X144:$i, X145:$i]:![X146:$i]:(c_In @ X146 @ X144=>c_In @ X146 @ X145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax17)). 1.35/1.56 thf(c_0_6, plain, ![X30:$i, X28:$i]:(esk21_2 @ X28 @ X30)=(X28), introduced(definition)). 1.35/1.56 thf(c_0_7, plain, ![X45:$i > $i > $i]:(esk19_1 @ X45)=(c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_8, plain, ![X33:$i, X31:$i, X30:$i, X25:($i > $i) > ($i > $i) > $i]:(esk26_4 @ X25 @ X30 @ X31 @ X33)=(X25 @ (esk21_2 @ X33) @ (esk21_2 @ c_Empty)), introduced(definition)). 1.35/1.56 thf(c_0_9, plain, ![X33:$i, X32:($i > $i > $i > $i) > $i]:(esk7_2 @ X32 @ X33)=(c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_10, plain, ![X44:$i, X43:($i > $i > $i > $i) > $i, X33:$i]:(esk15_3 @ X33 @ X43 @ X44)=(X33), introduced(definition)). 1.35/1.56 thf(c_0_11, plain, ![X31:$i, X30:$i]:(esk25_2 @ X30 @ X31)=(c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_12, plain, ![X70:$i > $i > $i]:(esk24_1 @ X70)=(c_setsum @ c_Empty @ c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_13, plain, ![X33:$i, X31:$i, X30:$i, X48:$i]:(esk20_4 @ X48 @ X30 @ X31 @ X33)=(X48), introduced(definition)). 1.35/1.56 thf(c_0_14, plain, ![X31:$i, X30:$i]:(esk4_2 @ X30 @ X31)=(c_setsum @ X31 @ X30), introduced(definition)). 1.35/1.56 thf(c_0_15, plain, ![X66:$i > $i > $i, X25:($i > $i) > ($i > $i) > $i]:(esk23_2 @ X25 @ X66)=(X25 @ (esk21_2 @ c_Empty) @ (esk21_2 @ c_Empty)), introduced(definition)). 1.35/1.56 thf(c_0_16, plain, ![X31:$i, X55:($i > $i > $i > $i) > $i]:(esk22_2 @ X55 @ X31)=(X31), introduced(definition)). 1.35/1.56 thf(c_0_17, plain, ![X30:$i, X42:$i > $i]:(esk18_2 @ X42 @ X30)=(X42 @ c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_18, plain, ![X33:$i, X31:$i, X30:$i, X23:($i > $i) > $i > $i, X24:((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i]:(esk17_5 @ X24 @ X23 @ X30 @ X31 @ X33)=(X23 @ (esk16_3 @ X33 @ X24) @ (c_Inj1 @ c_Empty)), introduced(definition)). 1.35/1.56 thf(c_0_19, plain, ![X35:$i, X24:((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i, X33:$i]:(esk16_3 @ X33 @ X24 @ X35)=(X24 @ (esk15_3 @ X33) @ (X24 @ esk10_2 @ X35)), introduced(definition)). 1.35/1.56 thf(c_0_20, plain, ![X33:$i, X37:($i > $i > $i > $i) > $i]:(esk10_2 @ X37 @ X33)=(c_setsum @ c_Empty @ c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_21, plain, ![X30:$i, X23:($i > $i) > $i > $i, X28:$i, X29:($i > $i) > ($i > $i) > $i]:(esk14_4 @ X29 @ X28 @ X23 @ X30)=(c_Inj1 @ (X23 @ (esk13_3 @ X29 @ X23) @ X28)), introduced(definition)). 1.35/1.56 thf(c_0_22, plain, ![X31:$i, X23:($i > $i) > $i > $i, X29:($i > $i) > ($i > $i) > $i]:(esk13_3 @ X29 @ X23 @ X31)=(X29 @ (esk9_2 @ X23) @ esk12_1), introduced(definition)). 1.35/1.56 thf(c_0_23, plain, ![X33:$i]:(esk12_1 @ X33)=(c_Inj1 @ c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_24, plain, ![X31:$i, X23:($i > $i) > $i > $i]:(esk9_2 @ X23 @ X31)=(X23 @ esk5_1 @ c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_25, plain, ![X31:$i]:(esk5_1 @ X31)=(c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_26, plain, ![X30:$i, X23:($i > $i) > $i > $i, X24:((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i, X25:($i > $i) > ($i > $i) > $i]:(esk11_4 @ X25 @ X24 @ X23 @ X30)=(c_setsum @ (X24 @ esk7_2 @ (X25 @ (esk8_2 @ X24) @ (esk9_2 @ X23))) @ (X24 @ esk7_2 @ (X24 @ esk10_2 @ (X24 @ esk7_2 @ c_Empty)))), introduced(definition)). 1.35/1.56 thf(c_0_27, plain, ![X31:$i, X24:((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i]:(esk8_2 @ X24 @ X31)=(X24 @ esk7_2 @ c_Empty), introduced(definition)). 1.35/1.56 thf(c_0_28, plain, ![X30:$i, X29:($i > $i) > ($i > $i) > $i]:(esk6_2 @ X29 @ X30)=(X29 @ (esk4_2 @ X30) @ esk5_1), introduced(definition)). 1.35/1.56 thf(c_0_29, plain, ![X1:$o]:(c_not @ X1<=>(X1=>c_False)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])). 1.35/1.56 thf(c_0_30, negated_conjecture, ~(![X22:($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i, X23:($i > $i) > $i > $i, X24:((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i, X25:($i > $i) > ($i > $i) > $i]:(![X81:$i > (($i > $i) > $i) > $i, X82:($i > $i) > $i, X83:(($i > $i > $i) > ($i > $i) > $i) > $i, X84:$i]:(X25 @ (esk21_2 @ (c_Inj1 @ c_Empty)) @ (esk21_2 @ (c_setsum @ c_Empty @ c_Empty)))=(c_Inj1 @ c_Empty)=>(![X76:$i, X77:$i, X28:$i, X78:$i]:(X25 @ (esk21_2 @ X28) @ (esk21_2 @ X78))=(c_setsum @ (X24 @ esk7_2 @ (X22 @ (esk26_4 @ X25) @ (esk21_2 @ c_Empty) @ esk19_1)) @ c_Empty)=>(![X71:$i > $i, X72:$i > $i > $i, X73:$i > $i, X74:$i]:(X24 @ (esk15_3 @ X74) @ c_Empty)=(X74)=>(![X57:$i > ($i > $i > $i) > $i, X58:$i > $i, X59:((($i > $i) > $i) > $i) > $i, X60:$i > $i]:(X24 @ (esk15_3 @ (X60 @ (X24 @ (esk15_3 @ (X22 @ (esk20_4 @ (c_Inj1 @ c_Empty)) @ (esk21_2 @ (c_Inj0 @ c_Empty)) @ (esk23_2 @ X25))) @ (c_Inj0 @ (X22 @ (esk20_4 @ c_Empty) @ (esk21_2 @ c_Empty) @ esk19_1))))) @ (X25 @ (esk4_2 @ c_Empty) @ (esk21_2 @ c_Empty)))=(c_setsum @ (X60 @ (X58 @ (X22 @ (esk20_4 @ (c_Inj1 @ c_Empty)) @ (esk21_2 @ (X22 @ (esk20_4 @ c_Empty) @ (esk21_2 @ c_Empty) @ esk19_1)) @ esk24_1))) @ (X23 @ (esk21_2 @ (X60 @ c_Empty)) @ (X58 @ (X57 @ (X23 @ (esk21_2 @ c_Empty) @ c_Empty) @ esk25_2))))=>(![X50:(($i > $i) > $i > $i) > $i, X51:$i, X28:$i, X52:$i]:(X23 @ (esk21_2 @ (c_Inj1 @ (X23 @ (esk21_2 @ (c_Inj0 @ (X22 @ (esk20_4 @ c_Empty) @ (esk21_2 @ c_Empty) @ esk19_1))) @ (c_Inj1 @ X52)))) @ (c_Inj0 @ (X24 @ esk22_2 @ X51)))=(c_Inj0 @ (X24 @ (esk15_3 @ X52) @ (c_setsum @ c_Empty @ c_Empty)))=>(![X26:(($i > $i) > $i) > $i, X27:$i > $i > ($i > $i) > $i, X28:$i, X29:($i > $i) > ($i > $i) > $i]:(X23 @ (esk6_2 @ X29) @ c_Empty)=(X29 @ (esk11_4 @ X25 @ X24 @ X23) @ (esk14_4 @ X29 @ X28 @ X23))=>(![X46:$i > (($i > $i) > $i > $i) > $i, X47:$i, X28:$i, X48:$i]:(X22 @ (esk20_4 @ X48) @ (esk21_2 @ X28) @ esk19_1)=(X28)=>(![X39:$i, X40:$i, X41:$i > ($i > $i) > $i, X42:$i > $i]:(X22 @ (esk17_5 @ X24 @ X23) @ (esk18_2 @ X42) @ esk19_1)=(X42 @ X39)=>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(assume_negation,[status(cth)],[conj]), c_0_6]), c_0_6]), c_0_7]), c_0_6]), c_0_8]), c_0_6]), c_0_6]), c_0_9]), c_0_6]), c_0_6]), c_0_10]), c_0_11]), c_0_6]), c_0_6]), c_0_12]), c_0_6]), c_0_7]), c_0_6]), c_0_13]), c_0_13]), c_0_6]), c_0_14]), c_0_10]), c_0_7]), c_0_6]), c_0_13]), c_0_10]), c_0_15]), c_0_6]), c_0_6]), c_0_6]), c_0_13]), c_0_10]), c_0_16]), c_0_6]), c_0_6]), c_0_7]), c_0_6]), c_0_13]), c_0_7]), c_0_6]), c_0_13]), c_0_7]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_10]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_9]), c_0_20]), c_0_9]), c_0_24]), c_0_25]), c_0_27]), c_0_9]), c_0_9]), c_0_28]), c_0_25]), c_0_14])])). 1.35/1.56 thf(c_0_31, axiom, ((~(?[X214:$i]:c_In @ X214 @ c_Empty)|c_not @ $true)&(?[X214:$i]:c_In @ X214 @ c_Empty|c_not @ $false)), inference(fool_unroll,[status(thm)],[ax5])). 1.35/1.56 thf(c_0_32, plain, ![X973:$o]:((~c_not @ X973|(~X973|c_False))&((X973|c_not @ X973)&(~c_False|c_not @ X973))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])). 1.35/1.56 thf(c_0_33, negated_conjecture, ![X657:$i, X658:$i, X659:$i, X660:$i > ($i > $i > $i) > $i, X661:$i > $i, X662:$i > $i, X663:$i, X664:$i, X665:$i, X666:($i > $i) > ($i > $i) > $i, X667:$i, X668:$i, X669:$i, X670:$i > $i]:((esk48_0 @ (esk21_2 @ (c_Inj1 @ c_Empty)) @ (esk21_2 @ (c_setsum @ c_Empty @ c_Empty)))=(c_Inj1 @ c_Empty)&((esk48_0 @ (esk21_2 @ X657) @ (esk21_2 @ X658))=(c_setsum @ (esk47_0 @ esk7_2 @ (esk45_0 @ (esk26_4 @ esk48_0) @ (esk21_2 @ c_Empty) @ esk19_1)) @ c_Empty)&((esk47_0 @ (esk15_3 @ X659) @ c_Empty)=(X659)&((esk47_0 @ (esk15_3 @ (X662 @ (esk47_0 @ (esk15_3 @ (esk45_0 @ (esk20_4 @ (c_Inj1 @ c_Empty)) @ (esk21_2 @ (c_Inj0 @ c_Empty)) @ (esk23_2 @ esk48_0))) @ (c_Inj0 @ (esk45_0 @ (esk20_4 @ c_Empty) @ (esk21_2 @ c_Empty) @ esk19_1))))) @ (esk48_0 @ (esk4_2 @ c_Empty) @ (esk21_2 @ c_Empty)))=(c_setsum @ (X662 @ (X661 @ (esk45_0 @ (esk20_4 @ (c_Inj1 @ c_Empty)) @ (esk21_2 @ (esk45_0 @ (esk20_4 @ c_Empty) @ (esk21_2 @ c_Empty) @ esk19_1)) @ esk24_1))) @ (esk46_0 @ (esk21_2 @ (X662 @ c_Empty)) @ (X661 @ (X660 @ (esk46_0 @ (esk21_2 @ c_Empty) @ c_Empty) @ esk25_2))))&((esk46_0 @ (esk21_2 @ (c_Inj1 @ (esk46_0 @ (esk21_2 @ (c_Inj0 @ (esk45_0 @ (esk20_4 @ c_Empty) @ (esk21_2 @ c_Empty) @ esk19_1))) @ (c_Inj1 @ X664)))) @ (c_Inj0 @ (esk47_0 @ esk22_2 @ X663)))=(c_Inj0 @ (esk47_0 @ (esk15_3 @ X664) @ (c_setsum @ c_Empty @ c_Empty)))&((esk46_0 @ (esk6_2 @ X666) @ c_Empty)=(X666 @ (esk11_4 @ esk48_0 @ esk47_0 @ esk46_0) @ (esk14_4 @ X666 @ X665 @ esk46_0))&((esk45_0 @ (esk20_4 @ X668) @ (esk21_2 @ X667) @ esk19_1)=(X667)&((esk45_0 @ (esk17_5 @ esk47_0 @ esk46_0) @ (esk18_2 @ X670) @ esk19_1)=(X670 @ X669)&~c_False)))))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_30])])])])])). 1.35/1.56 thf(c_0_34, plain, ![X803:$i]:((~c_In @ X803 @ c_Empty|c_not @ $true)&(c_In @ esk61_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_31])])])])). 1.35/1.56 thf(c_0_35, plain, (c_False|~c_not @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_32])])])). 1.35/1.56 thf(c_0_36, negated_conjecture, ~c_False, inference(split_conjunct,[status(thm)],[c_0_33])). 1.35/1.56 thf(c_0_37, plain, ![X1071:$i, X1072:($i > $i > $i > $i) > $i]:(esk22_2 @ X1072 @ X1071)=(X1071), inference(variable_rename,[status(thm)],[c_0_16])). 1.35/1.56 thf(c_0_38, negated_conjecture, ![X14:$i > $i, X4:$i]:(esk45_0 @ (esk17_5 @ esk47_0 @ esk46_0) @ (esk18_2 @ X14) @ esk19_1)=(X14 @ X4), inference(split_conjunct,[status(thm)],[c_0_33])). 1.35/1.56 thf(c_0_39, axiom, ![X261:$i, X262:$i]:((~c_In @ X262 @ (c_Power @ X261)|((~c_Subq @ X262 @ X261|c_iff @ $true @ $true)&(c_Subq @ X262 @ X261|c_iff @ $true @ $false)))&(c_In @ X262 @ (c_Power @ X261)|((~c_Subq @ X262 @ X261|c_iff @ $false @ $true)&(c_Subq @ X262 @ X261|c_iff @ $false @ $false)))), inference(fool_unroll,[status(thm)],[ax7])). 1.35/1.56 thf(c_0_40, axiom, ![X1:$o, X2:$o]:(((~X1|((~X2|c_iff @ $true @ $true)&(X2|c_iff @ $true @ $false)))&(X1|((~X2|c_iff @ $false @ $true)&(X2|c_iff @ $false @ $false))))=>(X1<=>X2)), inference(fool_unroll,[status(thm)],[ax3])). 1.35/1.56 thf(c_0_41, plain, ![X144:$i, X145:$i]:(c_Subq @ X144 @ X145<=>![X490:$i]:(c_In @ X490 @ X144=>c_In @ X490 @ X145)), inference(fof_simplification,[status(thm)],[ax17])). 1.35/1.56 thf(c_0_42, plain, ![X4:$i]:(c_not @ $true|~c_In @ X4 @ c_Empty), inference(split_conjunct,[status(thm)],[c_0_34])). 1.35/1.56 thf(c_0_43, plain, ~c_not @ $true, inference(sr,[status(thm)],[c_0_35, c_0_36])). 1.35/1.56 thf(c_0_44, plain, ![X32:($i > $i > $i > $i) > $i, X4:$i]:(esk22_2 @ X32 @ X4)=(X4), inference(split_conjunct,[status(thm)],[c_0_37])). 1.35/1.56 thf(c_0_45, negated_conjecture, ![X4:$i, X14:$i > $i, X5:$i]:(X14 @ X4)=(X14 @ X5), inference(spm,[status(thm)],[c_0_38, c_0_38])). 1.35/1.56 thf(c_0_46, plain, ![X856:$i, X857:$i]:(((~c_Subq @ X857 @ X856|c_iff @ $true @ $true|~c_In @ X857 @ (c_Power @ X856))&(c_Subq @ X857 @ X856|c_iff @ $true @ $false|~c_In @ X857 @ (c_Power @ X856)))&((~c_Subq @ X857 @ X856|c_iff @ $false @ $true|c_In @ X857 @ (c_Power @ X856))&(c_Subq @ X857 @ X856|c_iff @ $false @ $false|c_In @ X857 @ (c_Power @ X856)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_39])])). 1.35/1.56 thf(c_0_47, plain, ![X643:$o, X644:$o]:((((~X643|X644|(~X643|X643))&(~X644|X643|(~X643|X643)))&((((~X643|X644|(~X644|X644|X643))&(~X644|X643|(~X644|X644|X643)))&((~X643|X644|(~c_iff @ $false @ $false|X644|X643))&(~X644|X643|(~c_iff @ $false @ $false|X644|X643))))&(((~X643|X644|(~X644|~c_iff @ $false @ $true|X643))&(~X644|X643|(~X644|~c_iff @ $false @ $true|X643)))&((~X643|X644|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X643))&(~X644|X643|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X643))))))&(((((~X643|X644|(~X643|(~X644|X644)))&(~X644|X643|(~X643|(~X644|X644))))&((((~X643|X644|(~X644|X644|(~X644|X644)))&(~X644|X643|(~X644|X644|(~X644|X644))))&((~X643|X644|(~c_iff @ $false @ $false|X644|(~X644|X644)))&(~X644|X643|(~c_iff @ $false @ $false|X644|(~X644|X644)))))&(((~X643|X644|(~X644|~c_iff @ $false @ $true|(~X644|X644)))&(~X644|X643|(~X644|~c_iff @ $false @ $true|(~X644|X644))))&((~X643|X644|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X644|X644)))&(~X644|X643|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X644|X644)))))))&(((~X643|X644|(~X643|(~c_iff @ $true @ $false|X644)))&(~X644|X643|(~X643|(~c_iff @ $true @ $false|X644))))&((((~X643|X644|(~X644|X644|(~c_iff @ $true @ $false|X644)))&(~X644|X643|(~X644|X644|(~c_iff @ $true @ $false|X644))))&((~X643|X644|(~c_iff @ $false @ $false|X644|(~c_iff @ $true @ $false|X644)))&(~X644|X643|(~c_iff @ $false @ $false|X644|(~c_iff @ $true @ $false|X644)))))&(((~X643|X644|(~X644|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X644)))&(~X644|X643|(~X644|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X644))))&((~X643|X644|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X644)))&(~X644|X643|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X644))))))))&((((~X643|X644|(~X643|(~X644|~c_iff @ $true @ $true)))&(~X644|X643|(~X643|(~X644|~c_iff @ $true @ $true))))&((((~X643|X644|(~X644|X644|(~X644|~c_iff @ $true @ $true)))&(~X644|X643|(~X644|X644|(~X644|~c_iff @ $true @ $true))))&((~X643|X644|(~c_iff @ $false @ $false|X644|(~X644|~c_iff @ $true @ $true)))&(~X644|X643|(~c_iff @ $false @ $false|X644|(~X644|~c_iff @ $true @ $true)))))&(((~X643|X644|(~X644|~c_iff @ $false @ $true|(~X644|~c_iff @ $true @ $true)))&(~X644|X643|(~X644|~c_iff @ $false @ $true|(~X644|~c_iff @ $true @ $true))))&((~X643|X644|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X644|~c_iff @ $true @ $true)))&(~X644|X643|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X644|~c_iff @ $true @ $true)))))))&(((~X643|X644|(~X643|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X644|X643|(~X643|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((((~X643|X644|(~X644|X644|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X644|X643|(~X644|X644|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X643|X644|(~c_iff @ $false @ $false|X644|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X644|X643|(~c_iff @ $false @ $false|X644|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))&(((~X643|X644|(~X644|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X644|X643|(~X644|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X643|X644|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X644|X643|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])). 1.35/1.56 thf(c_0_48, plain, ![X737:$i, X738:$i, X739:$i, X740:$i, X741:$i]:((~c_Subq @ X737 @ X738|(~c_In @ X739 @ X737|c_In @ X739 @ X738))&((c_In @ (esk58_2 @ X740 @ X741) @ X740|c_Subq @ X740 @ X741)&(~c_In @ (esk58_2 @ X740 @ X741) @ X741|c_Subq @ X740 @ X741))), 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_41])])])])])])). 1.35/1.56 thf(c_0_49, plain, ![X4:$i]:~c_In @ X4 @ c_Empty, inference(sr,[status(thm)],[c_0_42, c_0_43])). 1.35/1.56 thf(c_0_50, plain, ![X4:$i, X5:$i]:(X4)=(X5), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_44])). 1.35/1.56 thf(c_0_51, plain, ![X4:$i, X5:$i]:(c_iff @ $false @ $true|c_In @ X4 @ (c_Power @ X5)|~c_Subq @ X4 @ X5), inference(split_conjunct,[status(thm)],[c_0_46])). 1.35/1.56 thf(c_0_52, plain, ~c_iff @ $false @ $true, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_47])])])). 1.35/1.56 thf(c_0_53, plain, ![X4:$i, X5:$i]:(c_In @ (esk58_2 @ X4 @ X5) @ X4|c_Subq @ X4 @ X5), inference(split_conjunct,[status(thm)],[c_0_48])). 1.35/1.56 thf(c_0_54, plain, ![X4:$i, X5:$i]:~c_In @ X4 @ X5, inference(spm,[status(thm)],[c_0_49, c_0_50])). 1.35/1.56 thf(c_0_55, plain, ![X4:$i, X5:$i]:(c_In @ X4 @ (c_Power @ X5)|~c_Subq @ X4 @ X5), inference(sr,[status(thm)],[c_0_51, c_0_52])). 1.35/1.56 thf(c_0_56, plain, ![X4:$i, X5:$i]:c_Subq @ X4 @ X5, inference(sr,[status(thm)],[c_0_53, c_0_54])). 1.35/1.56 thf(c_0_57, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])]), c_0_54]), ['proof']). 1.35/1.56 # SZS output end CNFRefutation 1.35/1.56 # Proof object total steps : 58 1.35/1.56 # Proof object clause steps : 16 1.35/1.56 # Proof object formula steps : 42 1.35/1.56 # Proof object conjectures : 6 1.35/1.56 # Proof object clause conjectures : 3 1.35/1.56 # Proof object formula conjectures : 3 1.35/1.56 # Proof object initial clauses used : 8 1.35/1.56 # Proof object initial formulas used : 6 1.35/1.56 # Proof object generating inferences : 3 1.35/1.56 # Proof object simplifying inferences : 10 1.35/1.56 # Training examples: 0 positive, 0 negative 1.35/1.56 # Parsed axioms : 213 1.35/1.56 # Removed by relevancy pruning/SinE : 0 1.35/1.56 # Initial clauses : 7069 1.35/1.56 # Removed in clause preprocessing : 2254 1.35/1.56 # Initial clauses in saturation : 4815 1.35/1.56 # Processed clauses : 6455 1.35/1.56 # ...of these trivial : 377 1.35/1.56 # ...subsumed : 3467 1.35/1.56 # ...remaining for further processing : 2610 1.35/1.56 # Other redundant clauses eliminated : 53 1.35/1.56 # Clauses deleted for lack of memory : 0 1.35/1.56 # Backward-subsumed : 380 1.35/1.56 # Backward-rewritten : 293 1.35/1.56 # Generated clauses : 3119 1.35/1.56 # ...of the previous two non-trivial : 2165 1.35/1.56 # Contextual simplify-reflections : 214 1.35/1.56 # Paramodulations : 2327 1.35/1.56 # Factorizations : 0 1.35/1.56 # NegExts : 18 1.35/1.56 # Equation resolutions : 53 1.35/1.56 # Propositional unsat checks : 0 1.35/1.56 # Propositional check models : 0 1.35/1.56 # Propositional check unsatisfiable : 0 1.35/1.56 # Propositional clauses : 0 1.35/1.56 # Propositional clauses after purity: 0 1.35/1.56 # Propositional unsat core size : 0 1.35/1.56 # Propositional preprocessing time : 0.000 1.35/1.56 # Propositional encoding time : 0.000 1.35/1.56 # Propositional solver time : 0.000 1.35/1.56 # Success case prop preproc time : 0.000 1.35/1.56 # Success case prop encoding time : 0.000 1.35/1.56 # Success case prop solver time : 0.000 1.35/1.56 # Current number of processed clauses : 546 1.35/1.56 # Positive orientable unit clauses : 241 1.35/1.56 # Positive unorientable unit clauses: 1 1.35/1.56 # Negative unit clauses : 81 1.35/1.56 # Non-unit-clauses : 223 1.35/1.56 # Current number of unprocessed clauses: 1424 1.35/1.56 # ...number of literals in the above : 5430 1.35/1.56 # Current number of archived formulas : 0 1.35/1.56 # Current number of archived clauses : 2028 1.35/1.56 # Clause-clause subsumption calls (NU) : 1189725 1.35/1.56 # Rec. Clause-clause subsumption calls : 268782 1.35/1.56 # Non-unit clause-clause subsumptions : 1534 1.35/1.56 # Unit Clause-clause subsumption calls : 31950 1.35/1.56 # Rewrite failures with RHS unbound : 1245 1.35/1.56 # BW rewrite match attempts : 2558 1.35/1.56 # BW rewrite match successes : 554 1.35/1.56 # Condensation attempts : 0 1.35/1.56 # Condensation successes : 0 1.35/1.56 # Termbank termtop insertions : 650466 1.35/1.57 1.35/1.57 # ------------------------------------------------- 1.35/1.57 # User time : 1.208 s 1.35/1.57 # System time : 0.026 s 1.35/1.57 # Total time : 1.233 s 1.35/1.57 # Maximum resident set size: 2160 pages 1.35/1.57 EOF