0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % 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 : n026.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 0.12/0.34 % CPULimit : 1200 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Jul 13 13:19:29 EDT 2021 0.12/0.34 % CPUTime : 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 # Version: 2.6rc1-ho 0.12/0.34 # No SInE strategy applied 0.12/0.34 # Trying AutoSched0 for 59 seconds 59.13/59.35 # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S 59.13/59.35 # and selection function SelectNewComplexAHPNS. 59.13/59.35 # 59.13/59.35 # Preprocessing time : 0.029 s 59.33/59.52 # No success with AutoSched0 59.33/59.52 # Trying AutoSched1 for 26 seconds 85.30/85.52 # AutoSched1-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN 85.30/85.52 # and selection function PSelectComplexExceptUniqMaxHorn. 85.30/85.52 # 85.30/85.52 # Preprocessing time : 0.029 s 85.30/85.52 # Presaturation interreduction done 85.42/85.68 # No success with AutoSched1 85.42/85.68 # Trying AutoSched2 for 8 seconds 93.40/93.67 # AutoSched2-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S08CI 93.40/93.67 # and selection function SelectCQIPrecWNTNp. 93.40/93.67 # 93.40/93.67 # Preprocessing time : 0.013 s 93.40/93.67 # Presaturation interreduction done 93.50/93.71 # No success with AutoSched2 93.50/93.71 # Trying AutoSched3 for 7 seconds 93.54/94.19 # AutoSched3-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y 93.54/94.19 # and selection function SelectMaxLComplexAvoidPosPred. 93.54/94.19 # 93.54/94.19 # Preprocessing time : 0.013 s 93.54/94.19 93.54/94.19 # Proof found! 93.54/94.19 # SZS status Theorem 93.54/94.19 # SZS output start CNFRefutation 93.54/94.19 thf(ifSingleton, conjecture, (iffalseProp1=>((iftrueProp1=>(iftrueProp2=>![X1:$i, X3:$o, X2:$i]:(![X4:$i]:(singleton @ (dsetconstr @ X1 @ (^[X5:$i]:((~(X3)&(X5)=(X4))|((X5)=(X2)&X3))))<=in @ X4 @ X1)<=in @ X2 @ X1)))<=iffalseProp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifSingleton)). 93.54/94.19 thf(singleton, axiom, (singleton)=(^[X1:$i]:?[X2:$i]:(in @ X2 @ X1&(X1)=(setadjoin @ X2 @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singleton)). 93.54/94.19 thf(iffalseProp1, axiom, (iffalseProp1<=>![X1:$i, X3:$o, X2:$i]:(in @ X2 @ X1=>![X4:$i]:(in @ X4 @ X1=>(~(X3)=>in @ X4 @ (dsetconstr @ X1 @ (^[X5:$i]:((X3&(X5)=(X2))|(~(X3)&(X5)=(X4))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalseProp1)). 93.54/94.19 thf(iffalseProp2, axiom, (iffalseProp2<=>![X1:$i, X3:$o, X2:$i]:(in @ X2 @ X1=>![X4:$i]:(in @ X4 @ X1=>(~(X3)=>(dsetconstr @ X1 @ (^[X5:$i]:((X3&(X5)=(X2))|(~(X3)&(X5)=(X4)))))=(setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iffalseProp2)). 93.54/94.19 thf(iftrueProp1, axiom, (iftrueProp1<=>![X1:$i, X3:$o, X2:$i]:(in @ X2 @ X1=>![X4:$i]:(in @ X4 @ X1=>(X3=>in @ X2 @ (dsetconstr @ X1 @ (^[X5:$i]:((X3&(X5)=(X2))|(~(X3)&(X5)=(X4))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueProp1)). 93.54/94.19 thf(iftrueProp2, axiom, (iftrueProp2<=>![X1:$i, X3:$o, X2:$i]:(in @ X2 @ X1=>![X4:$i]:(in @ X4 @ X1=>(X3=>(dsetconstr @ X1 @ (^[X5:$i]:((X3&(X5)=(X2))|(~(X3)&(X5)=(X4)))))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueProp2)). 93.54/94.19 thf(c_0_6, plain, ![X5:$i, X2:$i, X3:$o, X4:$i]:(epred1_4 @ X4 @ X3 @ X2 @ X5<=>((X3&(X5)=(X2))|(~X3&(X5)=(X4)))), inference(fof_simplification,[status(thm)],[introduced(definition)])). 93.54/94.19 thf(c_0_7, plain, ![X5:$i, X2:$i, X3:$o, X4:$i]:(epred2_4 @ X4 @ X3 @ X2 @ X5<=>((~X3&(X5)=(X4))|((X5)=(X2)&X3))), inference(fof_simplification,[status(thm)],[introduced(definition)])). 93.54/94.19 thf(c_0_8, negated_conjecture, ~((![X1:$i, X3:$o, X2:$i]:(in @ X2 @ X1=>![X4:$i]:(in @ X4 @ X1=>(~X3=>in @ X4 @ (dsetconstr @ X1 @ (epred1_4 @ X4 @ X3 @ X2)))))=>(![X1:$i, X3:$o, X2:$i]:(in @ X2 @ X1=>![X4:$i]:(in @ X4 @ X1=>(~X3=>(dsetconstr @ X1 @ (epred1_4 @ X4 @ X3 @ X2))=(setadjoin @ X4 @ emptyset))))=>(![X1:$i, X3:$o, X2:$i]:(in @ X2 @ X1=>![X4:$i]:(in @ X4 @ X1=>(X3=>in @ X2 @ (dsetconstr @ X1 @ (epred1_4 @ X4 @ X3 @ X2)))))=>(![X1:$i, X3:$o, X2:$i]:(in @ X2 @ X1=>![X4:$i]:(in @ X4 @ X1=>(X3=>(dsetconstr @ X1 @ (epred1_4 @ X4 @ X3 @ X2))=(setadjoin @ X2 @ emptyset))))=>![X1:$i, X3:$o, X2:$i]:(in @ X2 @ X1=>![X4:$i]:(in @ X4 @ X1=>?[X26:$i]:(in @ X26 @ (dsetconstr @ X1 @ (epred2_4 @ X4 @ X3 @ X2))&(dsetconstr @ X1 @ (epred2_4 @ X4 @ X3 @ X2))=(setadjoin @ X26 @ emptyset))))))))), 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(assume_negation,[status(cth)],[ifSingleton]), singleton]), iffalseProp1]), iffalseProp2]), iftrueProp1]), iftrueProp2]), c_0_6]), c_0_7]), c_0_7]), c_0_6]), c_0_6]), c_0_6])])). 93.54/94.19 thf(c_0_9, negated_conjecture, ![X27:$i, X28:$o, X29:$i, X30:$i, X31:$i, X32:$o, X33:$i, X34:$i, X35:$i, X36:$o, X37:$i, X38:$i, X39:$i, X40:$o, X41:$i, X42:$i, X47:$i]:((~in @ X29 @ X27|(~in @ X30 @ X27|(X28|in @ X30 @ (dsetconstr @ X27 @ (epred1_4 @ X30 @ X28 @ X29)))))&((~in @ X33 @ X31|(~in @ X34 @ X31|(X32|(dsetconstr @ X31 @ (epred1_4 @ X34 @ X32 @ X33))=(setadjoin @ X34 @ emptyset))))&((~in @ X37 @ X35|(~in @ X38 @ X35|(~X36|in @ X37 @ (dsetconstr @ X35 @ (epred1_4 @ X38 @ X36 @ X37)))))&((~in @ X41 @ X39|(~in @ X42 @ X39|(~X40|(dsetconstr @ X39 @ (epred1_4 @ X42 @ X40 @ X41))=(setadjoin @ X41 @ emptyset))))&(in @ esk2_0 @ esk1_0&(in @ esk3_0 @ esk1_0&(((~epred3_0|(dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $true @ esk2_0))!=(setadjoin @ X47 @ emptyset)|(~epred3_0|~in @ X47 @ (dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $true @ esk2_0))))&(epred3_0|(dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $false @ esk2_0))!=(setadjoin @ X47 @ emptyset)|(~epred3_0|~in @ X47 @ (dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $true @ esk2_0)))))&((~epred3_0|(dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $true @ esk2_0))!=(setadjoin @ X47 @ emptyset)|(epred3_0|~in @ X47 @ (dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $false @ esk2_0))))&(epred3_0|(dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $false @ esk2_0))!=(setadjoin @ X47 @ emptyset)|(epred3_0|~in @ X47 @ (dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $false @ esk2_0)))))))))))), inference(distribute,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])). 93.54/94.19 thf(c_0_10, negated_conjecture, ![X1:$i]:(epred3_0|epred3_0|(dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $false @ esk2_0))!=(setadjoin @ X1 @ emptyset)|~in @ X1 @ (dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $false @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])). 93.54/94.19 thf(c_0_11, negated_conjecture, ![X1:$i]:(epred3_0|(dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $false @ esk2_0))!=(setadjoin @ X1 @ emptyset)|~in @ X1 @ (dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $false @ esk2_0))), inference(cn,[status(thm)],[c_0_10])). 93.54/94.19 thf(c_0_12, negated_conjecture, ![X1:$i, X4:$i, X2:$i]:((dsetconstr @ X2 @ (epred1_4 @ X4 @ $true @ X1))=(setadjoin @ X1 @ emptyset)|~in @ X1 @ X2|~in @ X4 @ X2), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9])])])). 93.54/94.19 thf(c_0_13, plain, ![X1:$i, X4:$i, X2:$i, X5:$i]:(epred3_0|(epred1_4 @ X1 @ $true @ X2)!=(epred2_4 @ esk3_0 @ $false @ esk2_0)|(setadjoin @ X2 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X5)!=(esk1_0)|~in @ X4 @ (dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $false @ esk2_0))|~in @ X1 @ X5|~in @ X2 @ X5), inference(ext_sup,[status(thm)],[c_0_11, c_0_12])). 93.54/94.19 thf(c_0_14, negated_conjecture, ![X1:$i, X4:$i, X2:$i]:(in @ X4 @ (dsetconstr @ X2 @ (epred1_4 @ X4 @ $false @ X1))|~in @ X1 @ X2|~in @ X4 @ X2), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9])])])). 93.54/94.19 thf(c_0_15, plain, ![X1:$i, X5:$i, X4:$i, X2:$i, X8:$i, X6:$i]:(epred3_0|(epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $false @ esk2_0)|(epred1_4 @ X4 @ $true @ X5)!=(epred2_4 @ esk3_0 @ $false @ esk2_0)|(setadjoin @ X5 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X4 @ X8|~in @ X5 @ X8|~in @ X1 @ X6|~in @ X2 @ X6), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_13, c_0_14])])). 93.54/94.19 thf(c_0_16, plain, ![X1:$i, X5:$i, X4:$i, X2:$i, X8:$i, X6:$i]:(epred3_0|(epred1_4 @ X4 @ $true @ X5 @ (esk23_2 @ X4 @ X5))!=(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X4 @ X5))|(epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $false @ esk2_0)|(setadjoin @ X5 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X4 @ X8|~in @ X5 @ X8|~in @ X1 @ X6|~in @ X2 @ X6), inference(neg_ext,[status(thm)],[c_0_15])). 93.54/94.19 thf(c_0_17, plain, ![X1:$i, X2:$i, X4:$i, X5:$i, X8:$i, X6:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred3_0|(epred1_4 @ X4 @ $false @ X5)!=(epred2_4 @ esk3_0 @ $false @ esk2_0)|(setadjoin @ X2 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X1 @ X8|~in @ X2 @ X8|~in @ X4 @ X6|~in @ X5 @ X6), inference(dynamic cnf,[status(thm)],[c_0_16])). 93.54/94.19 thf(c_0_18, plain, ![X1:$i, X2:$i, X4:$i, X5:$i, X8:$i, X6:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred3_0|(epred1_4 @ X4 @ $false @ X5 @ (esk53_2 @ X4 @ X5))!=(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk53_2 @ X4 @ X5))|(setadjoin @ X2 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X1 @ X8|~in @ X2 @ X8|~in @ X4 @ X6|~in @ X5 @ X6), inference(neg_ext,[status(thm)],[c_0_17])). 93.54/94.19 thf(c_0_19, plain, ![X1:$i, X2:$i, X4:$i, X5:$i, X8:$i, X6:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk53_2 @ X4 @ X5)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X4 @ $false @ X5 @ (esk53_2 @ X4 @ X5)|epred3_0|(setadjoin @ X2 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X1 @ X8|~in @ X2 @ X8|~in @ X4 @ X6|~in @ X5 @ X6), inference(dynamic cnf,[status(thm)],[c_0_18])). 93.54/94.19 thf(c_0_20, negated_conjecture, in @ esk3_0 @ esk1_0, inference(split_conjunct,[status(thm)],[c_0_9])). 93.54/94.19 thf(c_0_21, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X5:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ X1)|epred1_4 @ esk3_0 @ $true @ X1 @ (esk23_2 @ esk3_0 @ X1)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk53_2 @ X2 @ X4)|epred1_4 @ X2 @ $false @ X4 @ (esk53_2 @ X2 @ X4)|epred3_0|(setadjoin @ X1 @ emptyset)!=(setadjoin @ X2 @ emptyset)|(X5)!=(esk1_0)|~in @ X1 @ esk1_0|~in @ X2 @ X5|~in @ X4 @ X5), inference(spm,[status(thm)],[c_0_19, c_0_20])). 93.54/94.19 thf(c_0_22, negated_conjecture, ![X2:$i, X1:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk53_2 @ esk3_0 @ X1)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ X2)|epred1_4 @ esk3_0 @ $false @ X1 @ (esk53_2 @ esk3_0 @ X1)|epred1_4 @ esk3_0 @ $true @ X2 @ (esk23_2 @ esk3_0 @ X2)|epred3_0|(setadjoin @ X2 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|~in @ X2 @ esk1_0|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_21, c_0_20])). 93.54/94.19 thf(c_0_23, plain, ![X52:$i, X53:$i, X54:$o, X55:$i]:(((((X52)=(X53)|~X54|~epred2_4 @ X55 @ X54 @ X53 @ X52)&(X54|~X54|~epred2_4 @ X55 @ X54 @ X53 @ X52))&(((X52)=(X53)|(X52)=(X55)|~epred2_4 @ X55 @ X54 @ X53 @ X52)&(X54|(X52)=(X55)|~epred2_4 @ X55 @ X54 @ X53 @ X52)))&((X54|(X52)!=(X55)|epred2_4 @ X55 @ X54 @ X53 @ X52)&((X52)!=(X53)|~X54|epred2_4 @ X55 @ X54 @ X53 @ X52))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 93.54/94.19 thf(c_0_24, negated_conjecture, ![X1:$i]:(epred1_4 @ esk3_0 @ $true @ esk3_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk53_2 @ esk3_0 @ X1)|epred1_4 @ esk3_0 @ $false @ X1 @ (esk53_2 @ esk3_0 @ X1)|epred3_0|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_22, c_0_20])). 93.54/94.19 thf(c_0_25, plain, ![X48:$i, X49:$i, X50:$o, X51:$i]:((((~X50|X50|~epred1_4 @ X51 @ X50 @ X49 @ X48)&((X48)=(X51)|X50|~epred1_4 @ X51 @ X50 @ X49 @ X48))&((~X50|(X48)=(X49)|~epred1_4 @ X51 @ X50 @ X49 @ X48)&((X48)=(X51)|(X48)=(X49)|~epred1_4 @ X51 @ X50 @ X49 @ X48)))&((~X50|(X48)!=(X49)|epred1_4 @ X51 @ X50 @ X49 @ X48)&(X50|(X48)!=(X51)|epred1_4 @ X51 @ X50 @ X49 @ X48))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])). 93.54/94.19 thf(c_0_26, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:(epred3_0|(epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $false @ esk2_0)|(setadjoin @ X4 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X8 @ X4)|~epred1_4 @ X8 @ $true @ X4 @ (esk23_2 @ X8 @ X4)|~in @ X8 @ X6|~in @ X4 @ X6|~in @ X1 @ X5|~in @ X2 @ X5), inference(dynamic cnf,[status(thm)],[c_0_16])). 93.54/94.19 thf(c_0_27, plain, ![X4:$i, X2:$i, X1:$i]:((X1)=(X2)|~epred2_4 @ X2 @ $false @ X4 @ X1), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 93.54/94.19 thf(c_0_28, negated_conjecture, (epred1_4 @ esk3_0 @ $false @ esk3_0 @ (esk53_2 @ esk3_0 @ esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk53_2 @ esk3_0 @ esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred1_4 @ esk3_0 @ $true @ esk3_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred3_0), inference(spm,[status(thm)],[c_0_24, c_0_20])). 93.54/94.19 thf(c_0_29, plain, ![X4:$i, X2:$i, X1:$i]:((X1)=(X2)|~epred1_4 @ X4 @ $true @ X2 @ X1), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_25])])])). 93.54/94.19 thf(c_0_30, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:(epred3_0|(epred1_4 @ X1 @ $false @ X2 @ (esk54_2 @ X1 @ X2))!=(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ X1 @ X2))|(setadjoin @ X4 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X8 @ X4)|~epred1_4 @ X8 @ $true @ X4 @ (esk23_2 @ X8 @ X4)|~in @ X8 @ X6|~in @ X4 @ X6|~in @ X1 @ X5|~in @ X2 @ X5), inference(neg_ext,[status(thm)],[c_0_26])). 93.54/94.19 thf(c_0_31, plain, ((esk23_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk53_2 @ esk3_0 @ esk3_0)|epred1_4 @ esk3_0 @ $false @ esk3_0 @ (esk53_2 @ esk3_0 @ esk3_0)|epred3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])). 93.54/94.19 thf(c_0_32, plain, ![X4:$i, X2:$i, X1:$i]:((X1)=(X2)|~epred1_4 @ X2 @ $false @ X4 @ X1), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_25])])])). 93.54/94.19 thf(c_0_33, plain, ![X1:$i, X4:$i, X2:$i]:(epred2_4 @ X2 @ $false @ X4 @ X1|(X1)!=(X2)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 93.54/94.19 thf(c_0_34, plain, ![X1:$i, X4:$i, X2:$i]:(epred1_4 @ X4 @ $true @ X2 @ X1|(X1)!=(X2)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_25])])])). 93.54/94.19 thf(c_0_35, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk54_2 @ X1 @ X2)|epred3_0|(setadjoin @ X4 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X8 @ X4)|~epred1_4 @ X8 @ $true @ X4 @ (esk23_2 @ X8 @ X4)|~in @ X8 @ X6|~in @ X4 @ X6|~in @ X1 @ X5|~in @ X2 @ X5), inference(dynamic cnf,[status(thm)],[c_0_30])). 93.54/94.19 thf(c_0_36, plain, ((esk23_2 @ esk3_0 @ esk3_0)=(esk3_0)|(esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_31]), c_0_32])). 93.54/94.19 thf(c_0_37, plain, ![X2:$i, X1:$i]:epred2_4 @ X1 @ $false @ X2 @ X1, inference(er,[status(thm)],[c_0_33])). 93.54/94.19 thf(c_0_38, plain, ![X1:$i, X2:$i]:epred1_4 @ X1 @ $true @ X2 @ X2, inference(er,[status(thm)],[c_0_34])). 93.54/94.19 thf(c_0_39, plain, ![X1:$i, X2:$i, X5:$i, X4:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk54_2 @ X1 @ X2)|epred3_0|(setadjoin @ esk3_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~in @ esk3_0 @ X5|~in @ X1 @ X4|~in @ X2 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37]), c_0_38])])). 93.54/94.19 thf(c_0_40, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk54_2 @ X1 @ X2)|epred3_0|(setadjoin @ esk3_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(spm,[status(thm)],[c_0_39, c_0_20])). 93.54/94.19 thf(c_0_41, negated_conjecture, ![X1:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ esk3_0 @ X1)|epred1_4 @ esk3_0 @ $false @ X1 @ (esk54_2 @ esk3_0 @ X1)|epred3_0|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_40, c_0_20])). 93.54/94.19 thf(c_0_42, negated_conjecture, ((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred1_4 @ esk3_0 @ $false @ esk3_0 @ (esk54_2 @ esk3_0 @ esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ esk3_0 @ esk3_0)|epred3_0), inference(spm,[status(thm)],[c_0_41, c_0_20])). 93.54/94.19 thf(c_0_43, plain, ![X1:$i, X4:$i, X2:$i]:(epred1_4 @ X2 @ $false @ X4 @ X1|(X1)!=(X2)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_25])])])). 93.54/94.19 thf(c_0_44, plain, ![X1:$i, X2:$i, X5:$i, X4:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0|(epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $false @ esk2_0)|(setadjoin @ esk3_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~in @ esk3_0 @ X5|~in @ X1 @ X4|~in @ X2 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_36]), c_0_37]), c_0_38])])). 93.54/94.19 thf(c_0_45, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred3_0|(setadjoin @ X2 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk53_2 @ X4 @ X8)|~epred1_4 @ X4 @ $false @ X8 @ (esk53_2 @ X4 @ X8)|~in @ X1 @ X6|~in @ X2 @ X6|~in @ X4 @ X5|~in @ X8 @ X5), inference(dynamic cnf,[status(thm)],[c_0_18])). 93.54/94.19 thf(c_0_46, plain, ((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|(esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_42]), c_0_32])). 93.54/94.19 thf(c_0_47, plain, ![X2:$i, X1:$i]:epred1_4 @ X1 @ $false @ X2 @ X1, inference(er,[status(thm)],[c_0_43])). 93.54/94.19 thf(c_0_48, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0|(epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $false @ esk2_0)|(setadjoin @ esk3_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(spm,[status(thm)],[c_0_44, c_0_20])). 93.54/94.19 thf(c_0_49, plain, ![X1:$i, X4:$i, X2:$i, X5:$i]:((esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred3_0|(setadjoin @ X2 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~in @ esk3_0 @ X4|~in @ X1 @ X5|~in @ X2 @ X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_37]), c_0_47])])). 93.54/94.19 thf(c_0_50, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0|(epred1_4 @ X1 @ $false @ X2 @ (esk117_2 @ X1 @ X2))!=(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk117_2 @ X1 @ X2))|(setadjoin @ esk3_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(neg_ext,[status(thm)],[c_0_48])). 93.54/94.19 thf(c_0_51, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred3_0|(setadjoin @ X2 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(spm,[status(thm)],[c_0_49, c_0_20])). 93.54/94.19 thf(c_0_52, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk117_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk117_2 @ X1 @ X2)|epred3_0|(setadjoin @ esk3_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(dynamic cnf,[status(thm)],[c_0_50])). 93.54/94.19 thf(c_0_53, negated_conjecture, ![X1:$i]:((esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ X1)|epred1_4 @ esk3_0 @ $true @ X1 @ (esk23_2 @ esk3_0 @ X1)|epred3_0|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_51, c_0_20])). 93.54/94.19 thf(c_0_54, negated_conjecture, ![X1:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk117_2 @ esk3_0 @ X1)|epred1_4 @ esk3_0 @ $false @ X1 @ (esk117_2 @ esk3_0 @ X1)|epred3_0|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_52, c_0_20])). 93.54/94.19 thf(c_0_55, negated_conjecture, in @ esk2_0 @ esk1_0, inference(split_conjunct,[status(thm)],[c_0_9])). 93.54/94.19 thf(c_0_56, negated_conjecture, ((esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred1_4 @ esk3_0 @ $true @ esk3_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred3_0), inference(spm,[status(thm)],[c_0_53, c_0_20])). 93.54/94.19 thf(c_0_57, negated_conjecture, ((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred1_4 @ esk3_0 @ $false @ esk2_0 @ (esk117_2 @ esk3_0 @ esk2_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk117_2 @ esk3_0 @ esk2_0)|epred3_0), inference(spm,[status(thm)],[c_0_54, c_0_55])). 93.54/94.19 thf(c_0_58, plain, ((esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|(esk23_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_56]), c_0_29])). 93.54/94.19 thf(c_0_59, plain, ((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|(esk117_2 @ esk3_0 @ esk2_0)=(esk3_0)|epred3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_57]), c_0_32])). 93.54/94.19 thf(c_0_60, plain, ![X1:$i, X2:$i, X5:$i, X4:$i]:((esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk54_2 @ X1 @ X2)|epred3_0|(setadjoin @ esk3_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~in @ esk3_0 @ X5|~in @ X1 @ X4|~in @ X2 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_58]), c_0_37]), c_0_38])])). 93.54/94.19 thf(c_0_61, plain, ![X1:$i, X4:$i, X2:$i, X5:$i]:((esk117_2 @ esk3_0 @ esk2_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred3_0|(setadjoin @ X2 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~in @ esk3_0 @ X4|~in @ X1 @ X5|~in @ X2 @ X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_59]), c_0_37]), c_0_47])])). 93.54/94.19 thf(c_0_62, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk54_2 @ X1 @ X2)|epred3_0|(setadjoin @ esk3_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(spm,[status(thm)],[c_0_60, c_0_20])). 93.54/94.19 thf(c_0_63, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((esk117_2 @ esk3_0 @ esk2_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred3_0|(setadjoin @ X2 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(spm,[status(thm)],[c_0_61, c_0_20])). 93.54/94.19 thf(c_0_64, negated_conjecture, ![X1:$i]:((esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ esk3_0 @ X1)|epred1_4 @ esk3_0 @ $false @ X1 @ (esk54_2 @ esk3_0 @ X1)|epred3_0|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_62, c_0_20])). 93.54/94.19 thf(c_0_65, negated_conjecture, ![X1:$i]:((esk117_2 @ esk3_0 @ esk2_0)=(esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ X1)|epred1_4 @ esk3_0 @ $true @ X1 @ (esk23_2 @ esk3_0 @ X1)|epred3_0|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_63, c_0_20])). 93.54/94.19 thf(c_0_66, plain, ![X1:$i, X2:$i, X8:$i, X6:$i, X5:$i, X4:$i]:(epred3_0|(setadjoin @ X1 @ emptyset)!=(setadjoin @ X2 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk54_2 @ X2 @ X6)|~epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X8 @ X1)|~epred1_4 @ X2 @ $false @ X6 @ (esk54_2 @ X2 @ X6)|~epred1_4 @ X8 @ $true @ X1 @ (esk23_2 @ X8 @ X1)|~in @ X8 @ X5|~in @ X1 @ X5|~in @ X2 @ X4|~in @ X6 @ X4), inference(dynamic cnf,[status(thm)],[c_0_30])). 93.54/94.19 thf(c_0_67, negated_conjecture, ((esk54_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_20]), c_0_32]), c_0_27])). 93.54/94.19 thf(c_0_68, negated_conjecture, ((esk117_2 @ esk3_0 @ esk2_0)=(esk3_0)|epred1_4 @ esk3_0 @ $true @ esk3_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred3_0), inference(spm,[status(thm)],[c_0_65, c_0_20])). 93.54/94.19 thf(c_0_69, plain, ![X1:$i, X2:$i, X5:$i, X4:$i]:(epred3_0|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|(X2)!=(esk1_0)|(X4)!=(esk1_0)|~epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X5 @ X1)|~epred1_4 @ X5 @ $true @ X1 @ (esk23_2 @ X5 @ X1)|~in @ esk3_0 @ X2|~in @ X5 @ X4|~in @ X1 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_37]), c_0_47])])). 93.54/94.19 thf(c_0_70, plain, ((esk117_2 @ esk3_0 @ esk2_0)=(esk3_0)|(esk23_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_68]), c_0_29])). 93.54/94.19 thf(c_0_71, plain, ![X1:$i, X2:$i]:((esk117_2 @ esk3_0 @ esk2_0)=(esk3_0)|epred3_0|(X1)!=(esk1_0)|(X2)!=(esk1_0)|~in @ esk3_0 @ X1|~in @ esk3_0 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_37]), c_0_38])])). 93.54/94.19 thf(c_0_72, negated_conjecture, ![X1:$i]:((esk117_2 @ esk3_0 @ esk2_0)=(esk3_0)|epred3_0|(X1)!=(esk1_0)|~in @ esk3_0 @ X1), inference(spm,[status(thm)],[c_0_71, c_0_20])). 93.54/94.19 thf(c_0_73, negated_conjecture, ![X1:$i, X4:$i, X2:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0|(setadjoin @ esk3_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X2)!=(esk1_0)|~epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk117_2 @ X1 @ X4)|~epred1_4 @ X1 @ $false @ X4 @ (esk117_2 @ X1 @ X4)|~in @ X1 @ X2|~in @ X4 @ X2), inference(dynamic cnf,[status(thm)],[c_0_50])). 93.54/94.19 thf(c_0_74, negated_conjecture, ((esk117_2 @ esk3_0 @ esk2_0)=(esk3_0)|epred3_0), inference(spm,[status(thm)],[c_0_72, c_0_20])). 93.54/94.19 thf(c_0_75, negated_conjecture, ![X1:$i]:(~epred3_0|(dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $true @ esk2_0))!=(setadjoin @ X1 @ emptyset)|~epred3_0|~in @ X1 @ (dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $true @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])). 93.54/94.19 thf(c_0_76, negated_conjecture, ![X1:$i]:((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0|(X1)!=(esk1_0)|~in @ esk3_0 @ X1|~in @ esk2_0 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_37]), c_0_47])])). 93.54/94.19 thf(c_0_77, negated_conjecture, ![X1:$i]:((dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $true @ esk2_0))!=(setadjoin @ X1 @ emptyset)|~epred3_0|~in @ X1 @ (dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $true @ esk2_0))), inference(cn,[status(thm)],[c_0_75])). 93.54/94.19 thf(c_0_78, negated_conjecture, ((esk53_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_55]), c_0_20])])). 93.54/94.19 thf(c_0_79, plain, ![X1:$i, X2:$i, X4:$i]:((dsetconstr @ esk1_0 @ (epred2_4 @ esk3_0 @ $true @ esk2_0))!=(setadjoin @ X1 @ emptyset)|(epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $true @ esk2_0)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4|~epred3_0), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_77, c_0_14])])). 93.54/94.19 thf(c_0_80, negated_conjecture, ![X1:$i, X4:$i, X2:$i]:((dsetconstr @ X2 @ (epred1_4 @ X4 @ $false @ X1))=(setadjoin @ X4 @ emptyset)|~in @ X1 @ X2|~in @ X4 @ X2), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9])])])). 93.54/94.19 thf(c_0_81, plain, ![X1:$i, X4:$i, X2:$i, X5:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred3_0|(setadjoin @ X2 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~in @ esk3_0 @ X4|~in @ X1 @ X5|~in @ X2 @ X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_78]), c_0_37]), c_0_47])])). 93.54/94.19 thf(c_0_82, plain, ![X1:$i, X5:$i, X4:$i, X2:$i, X8:$i, X6:$i]:((epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $true @ esk2_0)|(epred1_4 @ X4 @ $false @ X5)!=(epred2_4 @ esk3_0 @ $true @ esk2_0)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X4 @ X8|~in @ X5 @ X8|~in @ X1 @ X6|~in @ X2 @ X6|~epred3_0), inference(ext_sup,[status(thm)],[c_0_79, c_0_80])). 93.54/94.19 thf(c_0_83, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ X1 @ X2)|epred1_4 @ X1 @ $true @ X2 @ (esk23_2 @ X1 @ X2)|epred3_0|(setadjoin @ X2 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(spm,[status(thm)],[c_0_81, c_0_20])). 93.54/94.19 thf(c_0_84, plain, ![X1:$i, X5:$i, X4:$i, X2:$i, X8:$i, X6:$i]:((epred1_4 @ X4 @ $false @ X5 @ (esk21_2 @ X4 @ X5))!=(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X4 @ X5))|(epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $true @ esk2_0)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X4 @ X8|~in @ X5 @ X8|~in @ X1 @ X6|~in @ X2 @ X6|~epred3_0), inference(neg_ext,[status(thm)],[c_0_82])). 93.54/94.19 thf(c_0_85, negated_conjecture, ![X1:$i]:(epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ X1)|epred1_4 @ esk3_0 @ $true @ X1 @ (esk23_2 @ esk3_0 @ X1)|epred3_0|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk3_0 @ emptyset)|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_83, c_0_20])). 93.54/94.19 thf(c_0_86, plain, ![X1:$i, X2:$i, X4:$i, X5:$i, X8:$i, X6:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk21_2 @ X1 @ X2)|(epred1_4 @ X4 @ $false @ X5)!=(epred2_4 @ esk3_0 @ $true @ esk2_0)|(setadjoin @ X4 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X1 @ X8|~in @ X2 @ X8|~in @ X4 @ X6|~in @ X5 @ X6|~epred3_0), inference(dynamic cnf,[status(thm)],[c_0_84])). 93.54/94.19 thf(c_0_87, negated_conjecture, (epred1_4 @ esk3_0 @ $true @ esk3_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred2_4 @ esk3_0 @ $false @ esk2_0 @ (esk23_2 @ esk3_0 @ esk3_0)|epred3_0), inference(spm,[status(thm)],[c_0_85, c_0_20])). 93.54/94.19 thf(c_0_88, plain, ![X1:$i, X2:$i, X4:$i, X5:$i, X8:$i, X6:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk21_2 @ X1 @ X2)|(epred1_4 @ X4 @ $false @ X5 @ (esk59_2 @ X4 @ X5))!=(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ X4 @ X5))|(setadjoin @ X4 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X1 @ X8|~in @ X2 @ X8|~in @ X4 @ X6|~in @ X5 @ X6|~epred3_0), inference(neg_ext,[status(thm)],[c_0_86])). 93.54/94.19 thf(c_0_89, plain, ((esk23_2 @ esk3_0 @ esk3_0)=(esk3_0)|epred3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_87]), c_0_29])). 93.54/94.19 thf(c_0_90, plain, ![X1:$i, X2:$i, X4:$i, X5:$i, X8:$i, X6:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X1 @ X2)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ X4 @ X5)|epred1_4 @ X1 @ $false @ X2 @ (esk21_2 @ X1 @ X2)|epred1_4 @ X4 @ $false @ X5 @ (esk59_2 @ X4 @ X5)|(setadjoin @ X4 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X6)!=(esk1_0)|(X8)!=(esk1_0)|~in @ X1 @ X8|~in @ X2 @ X8|~in @ X4 @ X6|~in @ X5 @ X6|~epred3_0), inference(dynamic cnf,[status(thm)],[c_0_88])). 93.54/94.19 thf(c_0_91, plain, ![X1:$i, X2:$i]:(epred3_0|(X1)!=(esk1_0)|(X2)!=(esk1_0)|~in @ esk3_0 @ X1|~in @ esk3_0 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_89]), c_0_37]), c_0_38])])). 93.54/94.19 thf(c_0_92, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X5:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ esk2_0 @ X1)|epred1_4 @ esk2_0 @ $false @ X1 @ (esk21_2 @ esk2_0 @ X1)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ X2 @ X4)|epred1_4 @ X2 @ $false @ X4 @ (esk59_2 @ X2 @ X4)|(setadjoin @ X2 @ emptyset)!=(setadjoin @ esk2_0 @ emptyset)|(X5)!=(esk1_0)|~in @ X1 @ esk1_0|~in @ X2 @ X5|~in @ X4 @ X5|~epred3_0), inference(spm,[status(thm)],[c_0_90, c_0_55])). 93.54/94.19 thf(c_0_93, negated_conjecture, ![X1:$i]:(epred3_0|(X1)!=(esk1_0)|~in @ esk3_0 @ X1), inference(spm,[status(thm)],[c_0_91, c_0_20])). 93.54/94.19 thf(c_0_94, negated_conjecture, ![X2:$i, X1:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ esk2_0 @ X1)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ esk2_0 @ X2)|epred1_4 @ esk2_0 @ $false @ X1 @ (esk59_2 @ esk2_0 @ X1)|epred1_4 @ esk2_0 @ $false @ X2 @ (esk21_2 @ esk2_0 @ X2)|~in @ X2 @ esk1_0|~in @ X1 @ esk1_0|~epred3_0), inference(spm,[status(thm)],[c_0_92, c_0_55])). 93.54/94.19 thf(c_0_95, negated_conjecture, epred3_0, inference(spm,[status(thm)],[c_0_93, c_0_20])). 93.54/94.19 thf(c_0_96, negated_conjecture, ![X1:$i, X2:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ esk2_0 @ X1)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ esk2_0 @ X2)|epred1_4 @ esk2_0 @ $false @ X1 @ (esk21_2 @ esk2_0 @ X1)|epred1_4 @ esk2_0 @ $false @ X2 @ (esk59_2 @ esk2_0 @ X2)|~in @ X1 @ esk1_0|~in @ X2 @ esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_95])])). 93.54/94.19 thf(c_0_97, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:((epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $true @ esk2_0)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X4 @ X8)|~epred1_4 @ X4 @ $false @ X8 @ (esk21_2 @ X4 @ X8)|~in @ X4 @ X6|~in @ X8 @ X6|~in @ X1 @ X5|~in @ X2 @ X5|~epred3_0), inference(dynamic cnf,[status(thm)],[c_0_84])). 93.54/94.19 thf(c_0_98, negated_conjecture, ![X1:$i]:(epred1_4 @ esk2_0 @ $false @ esk2_0 @ (esk21_2 @ esk2_0 @ esk2_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ esk2_0 @ esk2_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ esk2_0 @ X1)|epred1_4 @ esk2_0 @ $false @ X1 @ (esk59_2 @ esk2_0 @ X1)|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_96, c_0_55])). 93.54/94.19 thf(c_0_99, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:((epred1_4 @ X1 @ $false @ X2 @ (esk58_2 @ X1 @ X2))!=(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk58_2 @ X1 @ X2))|(setadjoin @ X1 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X4 @ X8)|~epred1_4 @ X4 @ $false @ X8 @ (esk21_2 @ X4 @ X8)|~in @ X4 @ X6|~in @ X8 @ X6|~in @ X1 @ X5|~in @ X2 @ X5|~epred3_0), inference(neg_ext,[status(thm)],[c_0_97])). 93.54/94.19 thf(c_0_100, plain, ![X4:$i, X2:$i, X1:$i]:((X1)=(X2)|~epred2_4 @ X4 @ $true @ X2 @ X1), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 93.54/94.19 thf(c_0_101, negated_conjecture, (epred1_4 @ esk2_0 @ $false @ esk3_0 @ (esk59_2 @ esk2_0 @ esk3_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ esk2_0 @ esk3_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ esk2_0 @ esk2_0)|epred1_4 @ esk2_0 @ $false @ esk2_0 @ (esk21_2 @ esk2_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_98, c_0_20])). 93.54/94.19 thf(c_0_102, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk58_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk58_2 @ X1 @ X2)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X4 @ X8)|~epred1_4 @ X4 @ $false @ X8 @ (esk21_2 @ X4 @ X8)|~in @ X4 @ X6|~in @ X8 @ X6|~in @ X1 @ X5|~in @ X2 @ X5|~epred3_0), inference(dynamic cnf,[status(thm)],[c_0_99])). 93.54/94.19 thf(c_0_103, plain, ((esk21_2 @ esk2_0 @ esk2_0)=(esk2_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ esk2_0 @ esk3_0)|epred1_4 @ esk2_0 @ $false @ esk3_0 @ (esk59_2 @ esk2_0 @ esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_32])). 93.54/94.19 thf(c_0_104, plain, ![X1:$i, X4:$i, X2:$i]:(epred2_4 @ X4 @ $true @ X2 @ X1|(X1)!=(X2)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 93.54/94.19 thf(c_0_105, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk58_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk58_2 @ X1 @ X2)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X4 @ X8)|~epred1_4 @ X4 @ $false @ X8 @ (esk21_2 @ X4 @ X8)|~in @ X4 @ X6|~in @ X8 @ X6|~in @ X1 @ X5|~in @ X2 @ X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_95])])). 93.54/94.19 thf(c_0_106, plain, ((esk21_2 @ esk2_0 @ esk2_0)=(esk2_0)|(esk59_2 @ esk2_0 @ esk3_0)=(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_103]), c_0_32])). 93.54/94.19 thf(c_0_107, plain, ![X1:$i, X2:$i]:epred2_4 @ X1 @ $true @ X2 @ X2, inference(er,[status(thm)],[c_0_104])). 93.54/94.19 thf(c_0_108, plain, ![X1:$i, X2:$i, X5:$i, X4:$i]:((esk59_2 @ esk2_0 @ esk3_0)=(esk2_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk58_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk58_2 @ X1 @ X2)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk2_0 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~in @ esk2_0 @ X5|~in @ X1 @ X4|~in @ X2 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_107]), c_0_47])])). 93.54/94.19 thf(c_0_109, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((esk59_2 @ esk2_0 @ esk3_0)=(esk2_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk58_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk58_2 @ X1 @ X2)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk2_0 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(spm,[status(thm)],[c_0_108, c_0_55])). 93.54/94.19 thf(c_0_110, negated_conjecture, ![X1:$i]:((esk59_2 @ esk2_0 @ esk3_0)=(esk2_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk58_2 @ esk2_0 @ X1)|epred1_4 @ esk2_0 @ $false @ X1 @ (esk58_2 @ esk2_0 @ X1)|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_109, c_0_55])). 93.54/94.19 thf(c_0_111, plain, ![X1:$i, X2:$i, X8:$i, X6:$i, X5:$i, X4:$i]:((setadjoin @ X1 @ emptyset)!=(setadjoin @ X2 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk58_2 @ X1 @ X6)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X2 @ X8)|~epred1_4 @ X1 @ $false @ X6 @ (esk58_2 @ X1 @ X6)|~epred1_4 @ X2 @ $false @ X8 @ (esk21_2 @ X2 @ X8)|~in @ X2 @ X5|~in @ X8 @ X5|~in @ X1 @ X4|~in @ X6 @ X4|~epred3_0), inference(dynamic cnf,[status(thm)],[c_0_99])). 93.54/94.19 thf(c_0_112, negated_conjecture, ((esk59_2 @ esk2_0 @ esk3_0)=(esk2_0)|epred1_4 @ esk2_0 @ $false @ esk3_0 @ (esk58_2 @ esk2_0 @ esk3_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk58_2 @ esk2_0 @ esk3_0)), inference(spm,[status(thm)],[c_0_110, c_0_20])). 93.54/94.19 thf(c_0_113, plain, ![X1:$i, X2:$i, X8:$i, X6:$i, X5:$i, X4:$i]:((setadjoin @ X1 @ emptyset)!=(setadjoin @ X2 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk58_2 @ X1 @ X6)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X2 @ X8)|~epred1_4 @ X1 @ $false @ X6 @ (esk58_2 @ X1 @ X6)|~epred1_4 @ X2 @ $false @ X8 @ (esk21_2 @ X2 @ X8)|~in @ X2 @ X5|~in @ X8 @ X5|~in @ X1 @ X4|~in @ X6 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_95])])). 93.54/94.19 thf(c_0_114, plain, ((esk59_2 @ esk2_0 @ esk3_0)=(esk2_0)|(esk58_2 @ esk2_0 @ esk3_0)=(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_112]), c_0_32])). 93.54/94.19 thf(c_0_115, plain, ![X1:$i, X2:$i, X5:$i, X4:$i]:((esk59_2 @ esk2_0 @ esk3_0)=(esk2_0)|(setadjoin @ esk2_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X2)!=(esk1_0)|(X4)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X1 @ X5)|~epred1_4 @ X1 @ $false @ X5 @ (esk21_2 @ X1 @ X5)|~in @ esk2_0 @ X2|~in @ esk3_0 @ X2|~in @ X1 @ X4|~in @ X5 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_114]), c_0_107]), c_0_47])])). 93.54/94.19 thf(c_0_116, plain, ![X1:$i, X2:$i]:((esk59_2 @ esk2_0 @ esk3_0)=(esk2_0)|(X1)!=(esk1_0)|(X2)!=(esk1_0)|~in @ esk2_0 @ X1|~in @ esk3_0 @ X1|~in @ esk2_0 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_106]), c_0_107]), c_0_47])])). 93.54/94.19 thf(c_0_117, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk21_2 @ X1 @ X2)|(setadjoin @ X4 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ X4 @ X8)|~epred1_4 @ X4 @ $false @ X8 @ (esk59_2 @ X4 @ X8)|~in @ X1 @ X6|~in @ X2 @ X6|~in @ X4 @ X5|~in @ X8 @ X5|~epred3_0), inference(dynamic cnf,[status(thm)],[c_0_88])). 93.54/94.19 thf(c_0_118, negated_conjecture, ![X1:$i]:((esk59_2 @ esk2_0 @ esk3_0)=(esk2_0)|(X1)!=(esk1_0)|~in @ esk2_0 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_55]), c_0_20])])). 93.54/94.19 thf(c_0_119, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk21_2 @ X1 @ X2)|(setadjoin @ X4 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk59_2 @ X4 @ X8)|~epred1_4 @ X4 @ $false @ X8 @ (esk59_2 @ X4 @ X8)|~in @ X1 @ X6|~in @ X2 @ X6|~in @ X4 @ X5|~in @ X8 @ X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_95])])). 93.54/94.19 thf(c_0_120, negated_conjecture, (esk59_2 @ esk2_0 @ esk3_0)=(esk2_0), inference(spm,[status(thm)],[c_0_118, c_0_55])). 93.54/94.19 thf(c_0_121, plain, ![X1:$i, X4:$i, X2:$i, X5:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk21_2 @ X1 @ X2)|(setadjoin @ esk2_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~in @ esk2_0 @ X4|~in @ esk3_0 @ X4|~in @ X1 @ X5|~in @ X2 @ X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_107]), c_0_47])])). 93.54/94.19 thf(c_0_122, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk21_2 @ X1 @ X2)|(setadjoin @ esk2_0 @ emptyset)!=(setadjoin @ X1 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_55]), c_0_20])])). 93.54/94.19 thf(c_0_123, negated_conjecture, ![X1:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ esk2_0 @ X1)|epred1_4 @ esk2_0 @ $false @ X1 @ (esk21_2 @ esk2_0 @ X1)|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_122, c_0_55])). 93.54/94.19 thf(c_0_124, negated_conjecture, (epred1_4 @ esk2_0 @ $false @ esk3_0 @ (esk21_2 @ esk2_0 @ esk3_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ esk2_0 @ esk3_0)), inference(spm,[status(thm)],[c_0_123, c_0_20])). 93.54/94.19 thf(c_0_125, plain, ![X1:$i, X2:$i, X4:$i, X8:$i, X6:$i, X5:$i]:((epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $true @ esk2_0)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ X4 @ emptyset)|(X5)!=(esk1_0)|(X6)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk21_2 @ X4 @ X8)|~epred1_4 @ X4 @ $false @ X8 @ (esk21_2 @ X4 @ X8)|~in @ X4 @ X6|~in @ X8 @ X6|~in @ X1 @ X5|~in @ X2 @ X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97, c_0_95])])). 93.54/94.19 thf(c_0_126, plain, (esk21_2 @ esk2_0 @ esk3_0)=(esk2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_124]), c_0_32])). 93.54/94.19 thf(c_0_127, plain, ![X1:$i, X2:$i, X5:$i, X4:$i]:((epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $true @ esk2_0)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk2_0 @ emptyset)|(X4)!=(esk1_0)|(X5)!=(esk1_0)|~in @ esk2_0 @ X5|~in @ esk3_0 @ X5|~in @ X1 @ X4|~in @ X2 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_126]), c_0_107]), c_0_47])])). 93.54/94.19 thf(c_0_128, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((epred1_4 @ X1 @ $false @ X2)!=(epred2_4 @ esk3_0 @ $true @ esk2_0)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk2_0 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_55]), c_0_20])])). 93.54/94.19 thf(c_0_129, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((epred1_4 @ X1 @ $false @ X2 @ (esk360_2 @ X1 @ X2))!=(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk360_2 @ X1 @ X2))|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk2_0 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(neg_ext,[status(thm)],[c_0_128])). 93.54/94.19 thf(c_0_130, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk360_2 @ X1 @ X2)|epred1_4 @ X1 @ $false @ X2 @ (esk360_2 @ X1 @ X2)|(setadjoin @ X1 @ emptyset)!=(setadjoin @ esk2_0 @ emptyset)|(X4)!=(esk1_0)|~in @ X1 @ X4|~in @ X2 @ X4), inference(dynamic cnf,[status(thm)],[c_0_129])). 93.54/94.19 thf(c_0_131, negated_conjecture, ![X1:$i]:(epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk360_2 @ esk2_0 @ X1)|epred1_4 @ esk2_0 @ $false @ X1 @ (esk360_2 @ esk2_0 @ X1)|~in @ X1 @ esk1_0), inference(spm,[status(thm)],[c_0_130, c_0_55])). 93.54/94.19 thf(c_0_132, negated_conjecture, (epred1_4 @ esk2_0 @ $false @ esk3_0 @ (esk360_2 @ esk2_0 @ esk3_0)|epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk360_2 @ esk2_0 @ esk3_0)), inference(spm,[status(thm)],[c_0_131, c_0_20])). 93.54/94.19 thf(c_0_133, negated_conjecture, ![X1:$i, X4:$i, X2:$i]:((setadjoin @ X1 @ emptyset)!=(setadjoin @ esk2_0 @ emptyset)|(X2)!=(esk1_0)|~epred2_4 @ esk3_0 @ $true @ esk2_0 @ (esk360_2 @ X1 @ X4)|~epred1_4 @ X1 @ $false @ X4 @ (esk360_2 @ X1 @ X4)|~in @ X1 @ X2|~in @ X4 @ X2), inference(dynamic cnf,[status(thm)],[c_0_129])). 93.54/94.19 thf(c_0_134, plain, (esk360_2 @ esk2_0 @ esk3_0)=(esk2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_132]), c_0_32])). 93.54/94.19 thf(c_0_135, negated_conjecture, ![X1:$i]:((X1)!=(esk1_0)|~in @ esk2_0 @ X1|~in @ esk3_0 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_134]), c_0_107]), c_0_47])])). 93.54/94.19 thf(c_0_136, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_55]), c_0_20])]), ['proof']). 93.54/94.19 # SZS output end CNFRefutation 93.54/94.19 # Proof object total steps : 137 93.54/94.19 # Proof object clause steps : 125 93.54/94.19 # Proof object formula steps : 12 93.54/94.19 # Proof object conjectures : 64 93.54/94.19 # Proof object clause conjectures : 61 93.54/94.19 # Proof object formula conjectures : 3 93.54/94.19 # Proof object initial clauses used : 15 93.54/94.19 # Proof object initial formulas used : 6 93.54/94.19 # Proof object generating inferences : 71 93.54/94.19 # Proof object simplifying inferences : 101 93.54/94.19 # Training examples: 0 positive, 0 negative 93.54/94.19 # Parsed axioms : 15 93.54/94.19 # Removed by relevancy pruning/SinE : 0 93.54/94.19 # Initial clauses : 31 93.54/94.19 # Removed in clause preprocessing : 13 93.54/94.19 # Initial clauses in saturation : 18 93.54/94.19 # Processed clauses : 3441 93.54/94.19 # ...of these trivial : 19 93.54/94.19 # ...subsumed : 635 93.54/94.19 # ...remaining for further processing : 2787 93.54/94.19 # Other redundant clauses eliminated : 22 93.54/94.19 # Clauses deleted for lack of memory : 0 93.54/94.19 # Backward-subsumed : 518 93.54/94.19 # Backward-rewritten : 648 93.54/94.19 # Generated clauses : 6492 93.54/94.19 # ...of the previous two non-trivial : 5307 93.54/94.19 # Contextual simplify-reflections : 278 93.54/94.19 # Paramodulations : 5339 93.54/94.19 # Factorizations : 50 93.54/94.19 # NegExts : 357 93.54/94.19 # Equation resolutions : 118 93.54/94.19 # Propositional unsat checks : 0 93.54/94.19 # Propositional check models : 0 93.54/94.19 # Propositional check unsatisfiable : 0 93.54/94.19 # Propositional clauses : 0 93.54/94.19 # Propositional clauses after purity: 0 93.54/94.19 # Propositional unsat core size : 0 93.54/94.19 # Propositional preprocessing time : 0.000 93.54/94.19 # Propositional encoding time : 0.000 93.54/94.19 # Propositional solver time : 0.000 93.54/94.19 # Success case prop preproc time : 0.000 93.54/94.19 # Success case prop encoding time : 0.000 93.54/94.19 # Success case prop solver time : 0.000 93.54/94.19 # Current number of processed clauses : 1336 93.54/94.19 # Positive orientable unit clauses : 11 93.54/94.19 # Positive unorientable unit clauses: 0 93.54/94.19 # Negative unit clauses : 0 93.54/94.19 # Non-unit-clauses : 1325 93.54/94.19 # Current number of unprocessed clauses: 1220 93.54/94.19 # ...number of literals in the above : 11891 93.54/94.19 # Current number of archived formulas : 0 93.54/94.19 # Current number of archived clauses : 1447 93.54/94.19 # Clause-clause subsumption calls (NU) : 487291 93.54/94.19 # Rec. Clause-clause subsumption calls : 32595 93.54/94.19 # Non-unit clause-clause subsumptions : 1427 93.54/94.19 # Unit Clause-clause subsumption calls : 3303 93.54/94.19 # Rewrite failures with RHS unbound : 0 93.54/94.19 # BW rewrite match attempts : 36 93.54/94.19 # BW rewrite match successes : 5 93.54/94.19 # Condensation attempts : 0 93.54/94.19 # Condensation successes : 0 93.54/94.19 # Termbank termtop insertions : 250215 93.54/94.19 93.54/94.19 # ------------------------------------------------- 93.54/94.19 # User time : 91.092 s 93.54/94.19 # System time : 2.740 s 93.54/94.19 # Total time : 93.832 s 93.54/94.19 # Maximum resident set size: 1644 pages 93.54/94.19 EOF