0.06/0.11 % 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 0.11/0.33 % Computer : n014.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1200 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Jul 13 14:51:04 EDT 2021 0.11/0.33 % CPUTime : 0.11/0.33 % Number of cores: 8 0.11/0.34 % Python version: Python 3.6.8 0.11/0.34 # Version: 2.6rc1-ho 0.19/0.34 # No SInE strategy applied 0.19/0.34 # Trying AutoSched0 for 59 seconds 0.19/0.41 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.19/0.41 # and selection function SelectComplexExceptUniqMaxHorn. 0.19/0.41 # 0.19/0.41 # Preprocessing time : 0.034 s 0.19/0.41 # Presaturation interreduction done 0.19/0.41 0.19/0.41 # Proof found! 0.19/0.41 # SZS status Theorem 0.19/0.41 # SZS output start CNFRefutation 0.19/0.41 thf(cNAT_def, axiom, (cNAT)=(^[X3:($i > $o) > $o]:![X5:(($i > $o) > $o) > $o]:((X5 @ (^[X1:$i > $o]:~(?[X2:$i]:X1 @ X2))&![X6:($i > $o) > $o]:(X5 @ X6=>X5 @ (^[X15:$i > $o]:?[X16:$i]:(X15 @ X16&X6 @ (^[X17:$i]:((X17)!=(X16)&X15 @ X17))))))=>X5 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cNAT_def)). 0.19/0.41 thf(cZERO_def, axiom, (cZERO)=(^[X1:$i > $o]:~(?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cZERO_def)). 0.19/0.41 thf(cSUCC_def, axiom, (cSUCC)=(^[X3:($i > $o) > $o, X1:$i > $o]:?[X2:$i]:(X1 @ X2&X3 @ (^[X4:$i]:((X4)!=(X2)&X1 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cSUCC_def)). 0.19/0.41 thf(cX6102_B, conjecture, ![X7:(($i > $o) > $o) > $o]:((![X8:($i > $o) > $o]:(cNAT @ X8=>(X7 @ (cSUCC @ X8)<=X7 @ X8))&X7 @ cZERO)=>![X9:($i > $o) > $o]:((((X7 @ cZERO&![X10:($i > $o) > $o]:((cNAT @ X10&X7 @ X10)=>(cNAT @ (cSUCC @ X10)&X7 @ (cSUCC @ X10))))&cNAT @ cZERO)=>(X7 @ X9&cNAT @ X9))=>X7 @ X9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cX6102_B)). 0.19/0.41 thf(c_0_4, axiom, (cNAT)=(^[X3:($i > $o) > $o]:![X5:(($i > $o) > $o) > $o]:((X5 @ (^[X1:$i > $o]:~(?[X2:$i]:X1 @ X2))&![X6:($i > $o) > $o]:(X5 @ X6=>X5 @ (^[X15:$i > $o]:?[X16:$i]:(X15 @ X16&X6 @ (^[X17:$i]:((X17)!=(X16)&X15 @ X17))))))=>X5 @ X3)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[cNAT_def, cZERO_def]), cSUCC_def])). 0.19/0.41 thf(c_0_5, plain, ![X22:$i > $o, X21:($i > $o) > $o]:(epred3_2 @ X21 @ X22<=>?[X23:$i]:(X22 @ X23&X21 @ (epred2_3 @ X23 @ X22))), introduced(definition)). 0.19/0.41 thf(c_0_6, plain, ![X24:$i, X22:$i > $o, X23:$i]:(epred2_3 @ X23 @ X22 @ X24<=>((X24)!=(X23)&X22 @ X24)), introduced(definition)). 0.19/0.41 thf(c_0_7, plain, ![X19:$i > $o]:(epred1_1 @ X19<=>~(?[X20:$i]:X19 @ X20)), introduced(definition)). 0.19/0.41 thf(c_0_8, negated_conjecture, ~(![X7:(($i > $o) > $o) > $o]:((![X8:($i > $o) > $o]:(![X18:(($i > $o) > $o) > $o]:((X18 @ epred1_1&![X21:($i > $o) > $o]:(X18 @ X21=>X18 @ (epred3_2 @ X21)))=>X18 @ X8)=>(X7 @ X8=>X7 @ (epred3_2 @ X8)))&X7 @ epred1_1)=>![X9:($i > $o) > $o]:((((X7 @ epred1_1&![X10:($i > $o) > $o]:((![X28:(($i > $o) > $o) > $o]:((X28 @ epred1_1&![X31:($i > $o) > $o]:(X28 @ X31=>X28 @ (epred3_2 @ X31)))=>X28 @ X10)&X7 @ X10)=>(![X38:(($i > $o) > $o) > $o]:((X38 @ epred1_1&![X41:($i > $o) > $o]:(X38 @ X41=>X38 @ (epred3_2 @ X41)))=>X38 @ (epred3_2 @ X10))&X7 @ (epred3_2 @ X10))))&![X48:(($i > $o) > $o) > $o]:((X48 @ epred1_1&![X51:($i > $o) > $o]:(X48 @ X51=>X48 @ (epred3_2 @ X51)))=>X48 @ epred1_1))=>(X7 @ X9&![X55:(($i > $o) > $o) > $o]:((X55 @ epred1_1&![X58:($i > $o) > $o]:(X55 @ X58=>X55 @ (epred3_2 @ X58)))=>X55 @ X9)))=>X7 @ X9))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cX6102_B]), cZERO_def]), cSUCC_def]), c_0_4]), c_0_5]), c_0_6]), c_0_7]), c_0_7]), c_0_5]), c_0_6]), c_0_7]), c_0_5]), c_0_6]), c_0_5]), c_0_6]), c_0_5]), c_0_6]), c_0_7]), c_0_5]), c_0_6]), c_0_7]), c_0_7]), c_0_7]), c_0_5]), c_0_6]), c_0_5]), c_0_6]), c_0_7])])). 0.19/0.41 thf(c_0_9, negated_conjecture, ![X63:($i > $o) > $o, X65:($i > $o) > $o, X68:(($i > $o) > $o) > $o, X71:($i > $o) > $o, X73:($i > $o) > $o, X74:(($i > $o) > $o) > $o]:(((((epred5_1 @ X63 @ epred1_1|(~epred4_0 @ X63|epred4_0 @ (epred3_2 @ X63)))&(~epred5_1 @ X63 @ X65|epred5_1 @ X63 @ (epred3_2 @ X65)|(~epred4_0 @ X63|epred4_0 @ (epred3_2 @ X63))))&(~epred5_1 @ X63 @ X63|(~epred4_0 @ X63|epred4_0 @ (epred3_2 @ X63))))&epred4_0 @ epred1_1)&((((((((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(X68 @ (epred8_1 @ X68)|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(X68 @ (epred8_1 @ X68)|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(X68 @ (epred8_1 @ X68)|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(X68 @ (epred8_1 @ X68)|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(X68 @ (epred8_1 @ X68)|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(X68 @ (epred8_1 @ X68)|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(X68 @ (epred8_1 @ X68)|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(X68 @ (epred8_1 @ X68)|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(X68 @ (epred8_1 @ X68)|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1))))))&((((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(~X68 @ (epred3_2 @ (epred8_1 @ X68))|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(~X68 @ (epred3_2 @ (epred8_1 @ X68))|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(~X68 @ (epred3_2 @ (epred8_1 @ X68))|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(~X68 @ (epred3_2 @ (epred8_1 @ X68))|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(~X68 @ (epred3_2 @ (epred8_1 @ X68))|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(~X68 @ (epred3_2 @ (epred8_1 @ X68))|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(~X68 @ (epred3_2 @ (epred8_1 @ X68))|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(~X68 @ (epred3_2 @ (epred8_1 @ X68))|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(~X68 @ (epred3_2 @ (epred8_1 @ X68))|~X68 @ epred1_1|X68 @ epred7_0|~epred4_0 @ epred1_1)))))))&((((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))))))&((((((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1))))))&((((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ X71|epred9_0 @ (epred3_2 @ X71)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ X71|epred9_0 @ (epred3_2 @ X71)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ X71|epred9_0 @ (epred3_2 @ X71)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(~epred9_0 @ X71|epred9_0 @ (epred3_2 @ X71)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(~epred9_0 @ X71|epred9_0 @ (epred3_2 @ X71)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(~epred9_0 @ X71|epred9_0 @ (epred3_2 @ X71)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ X71|epred9_0 @ (epred3_2 @ X71)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ X71|epred9_0 @ (epred3_2 @ X71)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ X71|epred9_0 @ (epred3_2 @ X71)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))))))&((((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ X73|epred10_0 @ (epred3_2 @ X73)|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X74 @ (epred11_1 @ X74)|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X74 @ (epred3_2 @ (epred11_1 @ X74))|~X74 @ epred1_1|X74 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1))))))))&~epred4_0 @ epred6_0)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])). 0.19/0.41 thf(c_0_10, negated_conjecture, (epred4_0 @ epred6_0|~epred10_0 @ epred1_1|~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_11, negated_conjecture, epred4_0 @ epred1_1, inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_12, negated_conjecture, ~epred4_0 @ epred6_0, inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_13, negated_conjecture, ![X3:($i > $o) > $o]:(epred4_0 @ epred6_0|epred9_0 @ (epred3_2 @ X3)|~epred10_0 @ epred1_1|~epred9_0 @ X3|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_14, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(epred4_0 @ epred6_0|X5 @ epred7_0|~epred10_0 @ epred1_1|~X5 @ (epred3_2 @ (epred8_1 @ X5))|~X5 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_15, negated_conjecture, (epred4_0 @ epred6_0|epred10_0 @ epred1_1|epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_16, negated_conjecture, (epred4_0 @ epred6_0|epred10_0 @ epred1_1|~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_17, negated_conjecture, (~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ (epred3_2 @ epred7_0)|~epred10_0 @ epred1_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])]), c_0_12])). 0.19/0.41 thf(c_0_18, negated_conjecture, ![X3:($i > $o) > $o]:(epred4_0 @ epred6_0|epred10_0 @ epred1_1|epred9_0 @ (epred3_2 @ X3)|~epred9_0 @ X3|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_19, negated_conjecture, ![X3:($i > $o) > $o]:(epred9_0 @ (epred3_2 @ X3)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred10_0 @ epred1_1|~epred9_0 @ X3), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_11])]), c_0_12])). 0.19/0.41 thf(c_0_20, negated_conjecture, (epred4_0 @ epred6_0|epred4_0 @ epred7_0|~epred10_0 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_21, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(epred4_0 @ epred6_0|epred10_0 @ epred1_1|X5 @ epred7_0|~X5 @ (epred3_2 @ (epred8_1 @ X5))|~X5 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_22, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(X5 @ epred7_0|~X5 @ (epred3_2 @ (epred8_1 @ X5))|~epred10_0 @ epred1_1|~X5 @ epred1_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_11])]), c_0_12])). 0.19/0.41 thf(c_0_23, negated_conjecture, (epred4_0 @ epred6_0|epred9_0 @ epred1_1|~epred10_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_24, negated_conjecture, (epred10_0 @ epred1_1|epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_11])]), c_0_12])). 0.19/0.41 thf(c_0_25, negated_conjecture, (~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ (epred3_2 @ epred7_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_11])]), c_0_12]), c_0_17])). 0.19/0.41 thf(c_0_26, negated_conjecture, ![X3:($i > $o) > $o]:(epred9_0 @ (epred3_2 @ X3)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ X3), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_11])]), c_0_12]), c_0_19])). 0.19/0.41 thf(c_0_27, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(epred4_0 @ epred6_0|X5 @ (epred8_1 @ X5)|X5 @ epred7_0|~epred10_0 @ epred1_1|~X5 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_28, negated_conjecture, (epred4_0 @ epred6_0|epred10_0 @ epred1_1|epred4_0 @ epred7_0|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_29, negated_conjecture, (epred4_0 @ epred7_0|~epred10_0 @ epred1_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_11])]), c_0_12])). 0.19/0.41 thf(c_0_30, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(X5 @ epred7_0|~X5 @ (epred3_2 @ (epred8_1 @ X5))|~X5 @ epred1_1), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_11])]), c_0_12]), c_0_22])). 0.19/0.41 thf(c_0_31, negated_conjecture, (epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_11])]), c_0_12]), c_0_24])). 0.19/0.41 thf(c_0_32, negated_conjecture, (~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ epred7_0), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.19/0.41 thf(c_0_33, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(epred4_0 @ epred6_0|epred10_0 @ epred1_1|X5 @ (epred8_1 @ X5)|X5 @ epred7_0|~X5 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_34, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(X5 @ (epred8_1 @ X5)|X5 @ epred7_0|~epred10_0 @ epred1_1|~X5 @ epred1_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_11])]), c_0_12])). 0.19/0.41 thf(c_0_35, negated_conjecture, ![X3:($i > $o) > $o]:(epred5_1 @ X3 @ epred1_1|epred4_0 @ (epred3_2 @ X3)|~epred4_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_36, negated_conjecture, epred4_0 @ epred7_0, inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_11])]), c_0_12]), c_0_29])). 0.19/0.41 thf(c_0_37, negated_conjecture, ![X3:($i > $o) > $o]:(epred4_0 @ (epred3_2 @ X3)|~epred5_1 @ X3 @ X3|~epred4_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_38, negated_conjecture, (~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ (epred8_1 @ epred9_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_26]), c_0_31]), c_0_32])). 0.19/0.41 thf(c_0_39, negated_conjecture, ![X6:($i > $o) > $o, X3:($i > $o) > $o]:(epred5_1 @ X3 @ (epred3_2 @ X6)|epred4_0 @ (epred3_2 @ X3)|~epred5_1 @ X3 @ X6|~epred4_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.41 thf(c_0_40, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(X5 @ (epred8_1 @ X5)|X5 @ epred7_0|~X5 @ epred1_1), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_11])]), c_0_12]), c_0_34])). 0.19/0.41 thf(c_0_41, plain, (epred5_1 @ epred7_0 @ epred1_1|epred9_0 @ epred1_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_31, c_0_35])]), c_0_36])])). 0.19/0.41 thf(c_0_42, plain, (epred9_0 @ epred1_1|~epred5_1 @ epred7_0 @ epred7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_31, c_0_37])]), c_0_36])])). 0.19/0.41 thf(c_0_43, plain, (epred5_1 @ epred7_0 @ epred1_1|~epred9_0 @ (epred8_1 @ epred9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_38, c_0_35])]), c_0_36])])). 0.19/0.41 thf(c_0_44, plain, (~epred9_0 @ (epred8_1 @ epred9_0)|~epred5_1 @ epred7_0 @ epred7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_38, c_0_37])]), c_0_36])])). 0.19/0.41 thf(c_0_45, plain, (epred5_1 @ epred7_0 @ epred1_1|~epred9_0 @ epred7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_32, c_0_35])]), c_0_36])])). 0.19/0.41 thf(c_0_46, plain, (~epred5_1 @ epred7_0 @ epred7_0|~epred9_0 @ epred7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_32, c_0_37])]), c_0_36])])). 0.19/0.41 thf(c_0_47, plain, ![X3:($i > $o) > $o]:(epred5_1 @ epred7_0 @ (epred3_2 @ X3)|epred9_0 @ epred1_1|~epred5_1 @ epred7_0 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_31, c_0_39])]), c_0_36])])). 0.19/0.41 thf(c_0_48, plain, (epred5_1 @ epred7_0 @ (epred8_1 @ (epred5_1 @ epred7_0))|epred9_0 @ epred1_1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])). 0.19/0.41 thf(c_0_49, negated_conjecture, (epred5_1 @ epred7_0 @ (epred8_1 @ (epred5_1 @ epred7_0))|~epred9_0 @ (epred8_1 @ epred9_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_43]), c_0_44])). 0.19/0.41 thf(c_0_50, plain, (epred5_1 @ epred7_0 @ (epred8_1 @ (epred5_1 @ epred7_0))|~epred9_0 @ epred7_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_45]), c_0_46])). 0.19/0.41 thf(c_0_51, plain, (epred5_1 @ epred7_0 @ (epred3_2 @ (epred8_1 @ (epred5_1 @ epred7_0)))|epred9_0 @ epred1_1), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.19/0.41 thf(c_0_52, negated_conjecture, (epred5_1 @ epred7_0 @ (epred3_2 @ (epred8_1 @ (epred5_1 @ epred7_0)))|~epred9_0 @ (epred8_1 @ epred9_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_49]), c_0_36])]), c_0_38])). 0.19/0.41 thf(c_0_53, negated_conjecture, (epred5_1 @ epred7_0 @ (epred3_2 @ (epred8_1 @ (epred5_1 @ epred7_0)))|~epred9_0 @ epred7_0), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_50]), c_0_36])]), c_0_32])). 0.19/0.41 thf(c_0_54, negated_conjecture, epred9_0 @ epred1_1, inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_51]), c_0_41]), c_0_42])). 0.19/0.41 thf(c_0_55, negated_conjecture, ~epred9_0 @ (epred8_1 @ epred9_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_52]), c_0_43]), c_0_44])). 0.19/0.41 thf(c_0_56, negated_conjecture, ~epred9_0 @ epred7_0, inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_53]), c_0_45]), c_0_46])). 0.19/0.41 thf(c_0_57, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_54]), c_0_55]), c_0_56]), ['proof']). 0.19/0.41 # SZS output end CNFRefutation 0.19/0.41 # Proof object total steps : 58 0.19/0.41 # Proof object clause steps : 48 0.19/0.41 # Proof object formula steps : 10 0.19/0.41 # Proof object conjectures : 41 0.19/0.41 # Proof object clause conjectures : 38 0.19/0.41 # Proof object formula conjectures : 3 0.19/0.41 # Proof object initial clauses used : 17 0.19/0.41 # Proof object initial formulas used : 4 0.19/0.41 # Proof object generating inferences : 12 0.19/0.41 # Proof object simplifying inferences : 82 0.19/0.41 # Training examples: 0 positive, 0 negative 0.19/0.41 # Parsed axioms : 7 0.19/0.41 # Removed by relevancy pruning/SinE : 0 0.19/0.41 # Initial clauses : 70 0.19/0.41 # Removed in clause preprocessing : 3 0.19/0.41 # Initial clauses in saturation : 67 0.19/0.41 # Processed clauses : 618 0.19/0.41 # ...of these trivial : 10 0.19/0.41 # ...subsumed : 317 0.19/0.41 # ...remaining for further processing : 291 0.19/0.41 # Other redundant clauses eliminated : 384 0.19/0.41 # Clauses deleted for lack of memory : 0 0.19/0.41 # Backward-subsumed : 7 0.19/0.41 # Backward-rewritten : 33 0.19/0.41 # Generated clauses : 2607 0.19/0.41 # ...of the previous two non-trivial : 1135 0.19/0.41 # Contextual simplify-reflections : 34 0.19/0.41 # Paramodulations : 286 0.19/0.41 # Factorizations : 0 0.19/0.41 # NegExts : 98 0.19/0.41 # Equation resolutions : 384 0.19/0.41 # Propositional unsat checks : 0 0.19/0.41 # Propositional check models : 0 0.19/0.41 # Propositional check unsatisfiable : 0 0.19/0.41 # Propositional clauses : 0 0.19/0.41 # Propositional clauses after purity: 0 0.19/0.41 # Propositional unsat core size : 0 0.19/0.41 # Propositional preprocessing time : 0.000 0.19/0.41 # Propositional encoding time : 0.000 0.19/0.41 # Propositional solver time : 0.000 0.19/0.41 # Success case prop preproc time : 0.000 0.19/0.41 # Success case prop encoding time : 0.000 0.19/0.41 # Success case prop solver time : 0.000 0.19/0.41 # Current number of processed clauses : 183 0.19/0.41 # Positive orientable unit clauses : 5 0.19/0.41 # Positive unorientable unit clauses: 0 0.19/0.41 # Negative unit clauses : 13 0.19/0.41 # Non-unit-clauses : 165 0.19/0.41 # Current number of unprocessed clauses: 600 0.19/0.41 # ...number of literals in the above : 2409 0.19/0.41 # Current number of archived formulas : 0 0.19/0.41 # Current number of archived clauses : 107 0.19/0.41 # Clause-clause subsumption calls (NU) : 4863 0.19/0.41 # Rec. Clause-clause subsumption calls : 2799 0.19/0.41 # Non-unit clause-clause subsumptions : 169 0.19/0.41 # Unit Clause-clause subsumption calls : 169 0.19/0.41 # Rewrite failures with RHS unbound : 0 0.19/0.41 # BW rewrite match attempts : 4 0.19/0.41 # BW rewrite match successes : 4 0.19/0.41 # Condensation attempts : 0 0.19/0.41 # Condensation successes : 0 0.19/0.41 # Termbank termtop insertions : 20180 0.19/0.41 0.19/0.41 # ------------------------------------------------- 0.19/0.41 # User time : 0.073 s 0.19/0.41 # System time : 0.006 s 0.19/0.41 # Total time : 0.079 s 0.19/0.41 # Maximum resident set size: 1656 pages 0.19/0.42 EOF