0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % 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 0.12/0.34 % Computer : n008.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1200 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Jul 13 15:55:44 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 0.12/0.40 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.12/0.40 # and selection function SelectComplexExceptUniqMaxHorn. 0.12/0.40 # 0.12/0.40 # Preprocessing time : 0.032 s 0.12/0.40 # Presaturation interreduction done 0.12/0.40 0.12/0.40 # Proof found! 0.12/0.40 # SZS status Theorem 0.12/0.40 # SZS output start CNFRefutation 0.12/0.40 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) > $o]:(X5 @ X6=>X5 @ (^[X24:$i > $o]:?[X25:$i]:(X24 @ X25&X6 @ (^[X26:$i]:((X26)!=(X25)&X24 @ X26))))))=>X5 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cNAT_def)). 0.12/0.40 thf(cZERO_def, axiom, (cZERO)=(^[X1:$i > $o]:~(?[X2:$i]:X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cZERO_def)). 0.12/0.40 thf(cSUCC_def, axiom, (cSUCC)=(^[X3:($i > $o) > $o, X1:$i > $o]:?[X2:$i]:(X1 @ X2&X3 @ (^[X4:$i]:((X4)!=(X2)&X1 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cSUCC_def)). 0.12/0.40 thf(cX6102_C, conjecture, ![X7:(($i > $o) > $o) > $o]:(![X8:($i > $o) > $o]:(X7 @ X8<=((X7 @ X8&cNAT @ X8)<=((X7 @ cZERO&![X9:($i > $o) > $o]:((X7 @ (cSUCC @ X9)&![X10:(($i > $o) > $o) > $o]:(X10 @ (cSUCC @ X9)<=(X10 @ cZERO&![X11:($i > $o) > $o]:(X10 @ (cSUCC @ X11)<=X10 @ X11))))<=(![X10:(($i > $o) > $o) > $o]:((X10 @ cZERO&![X11:($i > $o) > $o]:(X10 @ (cSUCC @ X11)<=X10 @ X11))=>X10 @ X9)&X7 @ X9)))&![X10:(($i > $o) > $o) > $o]:((![X12:($i > $o) > $o]:(X10 @ (cSUCC @ X12)<=X10 @ X12)&X10 @ cZERO)=>X10 @ cZERO))))<=(![X13:($i > $o) > $o]:((X7 @ X13=>X7 @ (cSUCC @ X13))<=cNAT @ X13)&X7 @ cZERO)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cX6102_C)). 0.12/0.40 thf(c_0_4, axiom, (cNAT)=(^[X3:($i > $o) > $o]:![X5:(($i > $o) > $o) > $o]:((X5 @ (^[X1:$i > $o]:~(?[X2:$i]:X1 @ X2))&![X6:($i > $o) > $o]:(X5 @ X6=>X5 @ (^[X24:$i > $o]:?[X25:$i]:(X24 @ X25&X6 @ (^[X26:$i]:((X26)!=(X25)&X24 @ X26))))))=>X5 @ X3)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[cNAT_def, cZERO_def]), cSUCC_def])). 0.12/0.40 thf(c_0_5, plain, ![X28:$i > $o]:(epred1_1 @ X28<=>~(?[X29:$i]:X28 @ X29)), introduced(definition)). 0.12/0.40 thf(c_0_6, plain, ![X31:$i > $o, X30:($i > $o) > $o]:(epred3_2 @ X30 @ X31<=>?[X32:$i]:(X31 @ X32&X30 @ (epred2_3 @ X32 @ X31))), introduced(definition)). 0.12/0.40 thf(c_0_7, plain, ![X33:$i, X31:$i > $o, X32:$i]:(epred2_3 @ X32 @ X31 @ X33<=>((X33)!=(X32)&X31 @ X33)), introduced(definition)). 0.12/0.40 thf(c_0_8, negated_conjecture, ~(![X7:(($i > $o) > $o) > $o]:((![X13:($i > $o) > $o]:(![X52:(($i > $o) > $o) > $o]:((X52 @ epred1_1&![X55:($i > $o) > $o]:(X52 @ X55=>X52 @ (epred3_2 @ X55)))=>X52 @ X13)=>(X7 @ X13=>X7 @ (epred3_2 @ X13)))&X7 @ epred1_1)=>![X8:($i > $o) > $o]:((((X7 @ epred1_1&![X9:($i > $o) > $o]:((![X10:(($i > $o) > $o) > $o]:((X10 @ epred1_1&![X11:($i > $o) > $o]:(X10 @ X11=>X10 @ (epred3_2 @ X11)))=>X10 @ X9)&X7 @ X9)=>(X7 @ (epred3_2 @ X9)&![X10:(($i > $o) > $o) > $o]:((X10 @ epred1_1&![X11:($i > $o) > $o]:(X10 @ X11=>X10 @ (epred3_2 @ X11)))=>X10 @ (epred3_2 @ X9)))))&![X10:(($i > $o) > $o) > $o]:((![X12:($i > $o) > $o]:(X10 @ X12=>X10 @ (epred3_2 @ X12))&X10 @ epred1_1)=>X10 @ epred1_1))=>(X7 @ X8&![X27:(($i > $o) > $o) > $o]:((X27 @ epred1_1&![X30:($i > $o) > $o]:(X27 @ X30=>X27 @ (epred3_2 @ X30)))=>X27 @ X8)))=>X7 @ X8))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cX6102_C]), cZERO_def]), cSUCC_def]), c_0_4]), c_0_5]), c_0_6]), c_0_7]), c_0_5]), c_0_6]), c_0_7]), c_0_5]), c_0_5]), c_0_6]), c_0_7]), c_0_6]), c_0_7]), c_0_5]), c_0_6]), c_0_7]), c_0_5]), c_0_6]), c_0_7]), c_0_6]), c_0_7]), c_0_5]), c_0_6]), c_0_7]), c_0_5])])). 0.12/0.40 thf(c_0_9, negated_conjecture, ![X60:($i > $o) > $o, X62:($i > $o) > $o, X65:(($i > $o) > $o) > $o, X68:($i > $o) > $o, X70:($i > $o) > $o, X71:(($i > $o) > $o) > $o]:(((((epred5_1 @ X60 @ epred1_1|(~epred4_0 @ X60|epred4_0 @ (epred3_2 @ X60)))&(~epred5_1 @ X60 @ X62|epred5_1 @ X60 @ (epred3_2 @ X62)|(~epred4_0 @ X60|epred4_0 @ (epred3_2 @ X60))))&(~epred5_1 @ X60 @ X60|(~epred4_0 @ X60|epred4_0 @ (epred3_2 @ X60))))&epred4_0 @ epred1_1)&((((((((epred4_0 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(X65 @ (epred8_1 @ X65)|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(X65 @ (epred8_1 @ X65)|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(X65 @ (epred8_1 @ X65)|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(X65 @ (epred8_1 @ X65)|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(X65 @ (epred8_1 @ X65)|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(X65 @ (epred8_1 @ X65)|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(X65 @ (epred8_1 @ X65)|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(X65 @ (epred8_1 @ X65)|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(X65 @ (epred8_1 @ X65)|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1))))))&((((epred4_0 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(~X65 @ (epred3_2 @ (epred8_1 @ X65))|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(~X65 @ (epred3_2 @ (epred8_1 @ X65))|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(~X65 @ (epred3_2 @ (epred8_1 @ X65))|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(~X65 @ (epred3_2 @ (epred8_1 @ X65))|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(~X65 @ (epred3_2 @ (epred8_1 @ X65))|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(~X65 @ (epred3_2 @ (epred8_1 @ X65))|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(~X65 @ (epred3_2 @ (epred8_1 @ X65))|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(~X65 @ (epred3_2 @ (epred8_1 @ X65))|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(~X65 @ (epred3_2 @ (epred8_1 @ X65))|~X65 @ epred1_1|X65 @ epred7_0|~epred4_0 @ epred1_1)))))))&((((epred4_0 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(epred4_0 @ epred7_0|~epred4_0 @ epred1_1)))))))&((((((epred4_0 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(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)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ 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 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ 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 @ X70|epred10_0 @ (epred3_2 @ X70)|(~epred9_0 @ X68|epred9_0 @ (epred3_2 @ X68)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(~epred9_0 @ X68|epred9_0 @ (epred3_2 @ X68)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(~epred9_0 @ X68|epred9_0 @ (epred3_2 @ X68)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))))&((epred4_0 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ X68|epred9_0 @ (epred3_2 @ X68)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ X68|epred9_0 @ (epred3_2 @ X68)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ X68|epred9_0 @ (epred3_2 @ X68)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1))))))&((epred4_0 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ X68|epred9_0 @ (epred3_2 @ X68)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ X68|epred9_0 @ (epred3_2 @ X68)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ X68|epred9_0 @ (epred3_2 @ X68)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))))))&((((epred4_0 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ X70|epred10_0 @ (epred3_2 @ X70)|(~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)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(epred10_0 @ epred1_1|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ 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 @ epred1_1|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&((X71 @ (epred11_1 @ X71)|~X71 @ epred1_1|X71 @ epred6_0|(~epred10_0 @ epred1_1|(~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1)))&(~X71 @ (epred3_2 @ (epred11_1 @ X71))|~X71 @ epred1_1|X71 @ 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])])])])])). 0.12/0.40 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])). 0.12/0.40 thf(c_0_11, negated_conjecture, epred4_0 @ epred1_1, inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_12, negated_conjecture, ~epred4_0 @ epred6_0, inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_13, negated_conjecture, ![X3:($i > $o) > $o]:(epred4_0 @ epred6_0|epred9_0 @ (epred3_2 @ X3)|~epred10_0 @ epred1_1|~epred9_0 @ X3|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_14, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(epred4_0 @ epred6_0|X5 @ epred7_0|~epred10_0 @ epred1_1|~X5 @ (epred3_2 @ (epred8_1 @ X5))|~X5 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_15, negated_conjecture, (epred4_0 @ epred6_0|epred10_0 @ epred1_1|epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_16, negated_conjecture, (epred4_0 @ epred6_0|epred10_0 @ epred1_1|~epred9_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_17, negated_conjecture, (~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ (epred3_2 @ epred7_0)|~epred10_0 @ epred1_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])]), c_0_12])). 0.12/0.40 thf(c_0_18, negated_conjecture, ![X3:($i > $o) > $o]:(epred4_0 @ epred6_0|epred10_0 @ epred1_1|epred9_0 @ (epred3_2 @ X3)|~epred9_0 @ X3|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_19, negated_conjecture, ![X3:($i > $o) > $o]:(epred9_0 @ (epred3_2 @ X3)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred10_0 @ epred1_1|~epred9_0 @ X3), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_11])]), c_0_12])). 0.12/0.40 thf(c_0_20, negated_conjecture, (epred4_0 @ epred6_0|epred4_0 @ epred7_0|~epred10_0 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_21, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(epred4_0 @ epred6_0|epred10_0 @ epred1_1|X5 @ epred7_0|~X5 @ (epred3_2 @ (epred8_1 @ X5))|~X5 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_22, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(X5 @ epred7_0|~X5 @ (epred3_2 @ (epred8_1 @ X5))|~epred10_0 @ epred1_1|~X5 @ epred1_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_11])]), c_0_12])). 0.12/0.40 thf(c_0_23, negated_conjecture, (epred4_0 @ epred6_0|epred9_0 @ epred1_1|~epred10_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_24, negated_conjecture, (epred10_0 @ epred1_1|epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_11])]), c_0_12])). 0.12/0.40 thf(c_0_25, negated_conjecture, (~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ (epred3_2 @ epred7_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_11])]), c_0_12]), c_0_17])). 0.12/0.40 thf(c_0_26, negated_conjecture, ![X3:($i > $o) > $o]:(epred9_0 @ (epred3_2 @ X3)|~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ X3), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_11])]), c_0_12]), c_0_19])). 0.12/0.40 thf(c_0_27, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(epred4_0 @ epred6_0|X5 @ (epred8_1 @ X5)|X5 @ epred7_0|~epred10_0 @ epred1_1|~X5 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_28, negated_conjecture, (epred4_0 @ epred6_0|epred10_0 @ epred1_1|epred4_0 @ epred7_0|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_29, negated_conjecture, (epred4_0 @ epred7_0|~epred10_0 @ epred1_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_11])]), c_0_12])). 0.12/0.40 thf(c_0_30, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(X5 @ epred7_0|~X5 @ (epred3_2 @ (epred8_1 @ X5))|~X5 @ epred1_1), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_11])]), c_0_12]), c_0_22])). 0.12/0.40 thf(c_0_31, negated_conjecture, (epred9_0 @ epred1_1|~epred4_0 @ (epred3_2 @ epred7_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_11])]), c_0_12]), c_0_24])). 0.12/0.40 thf(c_0_32, negated_conjecture, (~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ epred7_0), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.12/0.40 thf(c_0_33, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(epred4_0 @ epred6_0|epred10_0 @ epred1_1|X5 @ (epred8_1 @ X5)|X5 @ epred7_0|~X5 @ epred1_1|~epred4_0 @ epred1_1), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_34, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(X5 @ (epred8_1 @ X5)|X5 @ epred7_0|~epred10_0 @ epred1_1|~X5 @ epred1_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_11])]), c_0_12])). 0.12/0.40 thf(c_0_35, negated_conjecture, ![X3:($i > $o) > $o]:(epred5_1 @ X3 @ epred1_1|epred4_0 @ (epred3_2 @ X3)|~epred4_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_36, negated_conjecture, epred4_0 @ epred7_0, inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_11])]), c_0_12]), c_0_29])). 0.12/0.40 thf(c_0_37, negated_conjecture, ![X3:($i > $o) > $o]:(epred4_0 @ (epred3_2 @ X3)|~epred5_1 @ X3 @ X3|~epred4_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.40 thf(c_0_38, negated_conjecture, (~epred4_0 @ (epred3_2 @ epred7_0)|~epred9_0 @ (epred8_1 @ epred9_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_26]), c_0_31]), c_0_32])). 0.12/0.40 thf(c_0_39, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(X5 @ (epred8_1 @ X5)|X5 @ epred7_0|~X5 @ epred1_1), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_11])]), c_0_12]), c_0_34])). 0.12/0.40 thf(c_0_40, plain, (epred5_1 @ epred7_0 @ epred1_1|epred9_0 @ epred1_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_31, c_0_35])]), c_0_36])])). 0.12/0.40 thf(c_0_41, plain, (epred9_0 @ epred1_1|~epred5_1 @ epred7_0 @ epred7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_31, c_0_37])]), c_0_36])])). 0.12/0.40 thf(c_0_42, plain, (epred5_1 @ epred7_0 @ epred1_1|~epred9_0 @ (epred8_1 @ epred9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_38, c_0_35])]), c_0_36])])). 0.12/0.40 thf(c_0_43, plain, (~epred9_0 @ (epred8_1 @ epred9_0)|~epred5_1 @ epred7_0 @ epred7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_38, c_0_37])]), c_0_36])])). 0.12/0.40 thf(c_0_44, plain, (epred5_1 @ epred7_0 @ epred1_1|~epred9_0 @ epred7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_32, c_0_35])]), c_0_36])])). 0.12/0.40 thf(c_0_45, plain, (~epred5_1 @ epred7_0 @ epred7_0|~epred9_0 @ epred7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_32, c_0_37])]), c_0_36])])). 0.12/0.40 thf(c_0_46, negated_conjecture, ![X6:($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])). 0.12/0.40 thf(c_0_47, 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_39, c_0_40]), c_0_41])). 0.12/0.40 thf(c_0_48, 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_39, c_0_42]), c_0_43])). 0.12/0.40 thf(c_0_49, 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_39, c_0_44]), c_0_45])). 0.12/0.40 thf(c_0_50, negated_conjecture, (epred5_1 @ epred7_0 @ (epred3_2 @ (epred8_1 @ (epred5_1 @ epred7_0)))|epred9_0 @ epred1_1), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_36])]), c_0_31])). 0.12/0.40 thf(c_0_51, 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_46, c_0_48]), c_0_36])]), c_0_38])). 0.12/0.40 thf(c_0_52, 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_46, c_0_49]), c_0_36])]), c_0_32])). 0.12/0.40 thf(c_0_53, negated_conjecture, epred9_0 @ epred1_1, inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_50]), c_0_40]), c_0_41])). 0.12/0.40 thf(c_0_54, 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_51]), c_0_42]), c_0_43])). 0.12/0.40 thf(c_0_55, negated_conjecture, ~epred9_0 @ epred7_0, inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_52]), c_0_44]), c_0_45])). 0.12/0.40 thf(c_0_56, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_53]), c_0_54]), c_0_55]), ['proof']). 0.12/0.40 # SZS output end CNFRefutation 0.12/0.40 # Proof object total steps : 57 0.12/0.40 # Proof object clause steps : 47 0.12/0.40 # Proof object formula steps : 10 0.12/0.40 # Proof object conjectures : 42 0.12/0.40 # Proof object clause conjectures : 39 0.12/0.40 # Proof object formula conjectures : 3 0.12/0.40 # Proof object initial clauses used : 17 0.12/0.40 # Proof object initial formulas used : 4 0.12/0.40 # Proof object generating inferences : 12 0.12/0.40 # Proof object simplifying inferences : 82 0.12/0.40 # Training examples: 0 positive, 0 negative 0.12/0.40 # Parsed axioms : 7 0.12/0.40 # Removed by relevancy pruning/SinE : 0 0.12/0.40 # Initial clauses : 70 0.12/0.40 # Removed in clause preprocessing : 3 0.12/0.40 # Initial clauses in saturation : 67 0.12/0.40 # Processed clauses : 456 0.12/0.40 # ...of these trivial : 10 0.12/0.40 # ...subsumed : 212 0.12/0.40 # ...remaining for further processing : 234 0.12/0.40 # Other redundant clauses eliminated : 107 0.12/0.40 # Clauses deleted for lack of memory : 0 0.12/0.40 # Backward-subsumed : 6 0.12/0.40 # Backward-rewritten : 21 0.12/0.40 # Generated clauses : 1195 0.12/0.40 # ...of the previous two non-trivial : 607 0.12/0.40 # Contextual simplify-reflections : 35 0.12/0.40 # Paramodulations : 145 0.12/0.40 # Factorizations : 0 0.12/0.40 # NegExts : 60 0.12/0.40 # Equation resolutions : 107 0.12/0.40 # Propositional unsat checks : 0 0.12/0.40 # Propositional check models : 0 0.12/0.40 # Propositional check unsatisfiable : 0 0.12/0.40 # Propositional clauses : 0 0.12/0.40 # Propositional clauses after purity: 0 0.12/0.40 # Propositional unsat core size : 0 0.12/0.40 # Propositional preprocessing time : 0.000 0.12/0.40 # Propositional encoding time : 0.000 0.12/0.40 # Propositional solver time : 0.000 0.12/0.40 # Success case prop preproc time : 0.000 0.12/0.40 # Success case prop encoding time : 0.000 0.12/0.40 # Success case prop solver time : 0.000 0.12/0.40 # Current number of processed clauses : 149 0.12/0.40 # Positive orientable unit clauses : 5 0.12/0.40 # Positive unorientable unit clauses: 0 0.12/0.40 # Negative unit clauses : 11 0.12/0.40 # Non-unit-clauses : 133 0.12/0.40 # Current number of unprocessed clauses: 234 0.12/0.40 # ...number of literals in the above : 875 0.12/0.40 # Current number of archived formulas : 0 0.12/0.40 # Current number of archived clauses : 84 0.12/0.40 # Clause-clause subsumption calls (NU) : 3279 0.12/0.40 # Rec. Clause-clause subsumption calls : 1982 0.12/0.40 # Non-unit clause-clause subsumptions : 142 0.12/0.40 # Unit Clause-clause subsumption calls : 157 0.12/0.40 # Rewrite failures with RHS unbound : 0 0.12/0.40 # BW rewrite match attempts : 4 0.12/0.40 # BW rewrite match successes : 4 0.12/0.40 # Condensation attempts : 0 0.12/0.40 # Condensation successes : 0 0.12/0.40 # Termbank termtop insertions : 11032 0.12/0.40 0.12/0.40 # ------------------------------------------------- 0.12/0.40 # User time : 0.054 s 0.12/0.40 # System time : 0.006 s 0.12/0.40 # Total time : 0.060 s 0.12/0.40 # Maximum resident set size: 1656 pages 0.12/0.40 EOF