0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % 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 0.13/0.34 % Computer : n006.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 13:03:25 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 # Version: 2.6rc1-ho 0.13/0.35 # No SInE strategy applied 0.13/0.35 # Trying AutoSched0 for 59 seconds 59.18/59.35 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 59.18/59.35 # and selection function SelectComplexExceptUniqMaxHorn. 59.18/59.35 # 59.18/59.35 # Preprocessing time : 0.028 s 59.18/59.35 # Presaturation interreduction done 59.26/59.43 # No success with AutoSched0 59.26/59.43 # Trying AutoSched1 for 26 seconds 85.23/85.44 # AutoSched1-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y 85.23/85.44 # and selection function SelectMaxLComplexAvoidPosPred. 85.23/85.44 # 85.23/85.44 # Preprocessing time : 0.028 s 85.33/85.52 # No success with AutoSched1 85.33/85.52 # Trying AutoSched2 for 8 seconds 93.30/93.55 # AutoSched2-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 93.30/93.55 # and selection function SelectMaxLComplexAvoidPosPred. 93.30/93.55 # 93.30/93.55 # Preprocessing time : 0.028 s 93.30/93.57 # No success with AutoSched2 93.30/93.57 # Trying AutoSched3 for 7 seconds 95.48/95.73 # AutoSched3-Mode selected heuristic G_E___042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S 95.48/95.73 # and selection function SelectNewComplexAHPNS. 95.48/95.73 # 95.48/95.73 # Preprocessing time : 0.028 s 95.48/95.73 # Presaturation interreduction done 95.48/95.73 95.48/95.73 # Proof found! 95.48/95.73 # SZS status Theorem 95.48/95.73 # SZS output start CNFRefutation 95.48/95.73 thf(cGROUP3_def, axiom, (cGROUP3)=(^[X1:g > g > g, X7:g]:((![X10:g, X11:g, X12:g]:(X1 @ (X1 @ X10 @ X11) @ X12)=(X1 @ X10 @ (X1 @ X11 @ X12))&![X13:g]:(X1 @ X13 @ X7)=(X13))&![X14:g]:?[X15:g]:(X1 @ X14 @ X15)=(X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cGROUP3_def)). 95.48/95.73 thf(cGRP_ASSOC_def, axiom, (cGRP_ASSOC)=(^[X1:g > g > g]:![X2:g, X3:g, X4:g]:(X1 @ (X1 @ X2 @ X3) @ X4)=(X1 @ X2 @ (X1 @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cGRP_ASSOC_def)). 95.48/95.73 thf(cGRP_RIGHT_INVERSE_def, axiom, (cGRP_RIGHT_INVERSE)=(^[X1:g > g > g, X7:g]:![X2:g]:?[X3:g]:(X1 @ X2 @ X3)=(X7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cGRP_RIGHT_INVERSE_def)). 95.48/95.73 thf(cGRP_RIGHT_UNIT_def, axiom, (cGRP_RIGHT_UNIT)=(^[X1:g > g > g, X7:g]:![X2:g]:(X1 @ X2 @ X7)=(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cGRP_RIGHT_UNIT_def)). 95.48/95.73 thf(cGROUP4_def, axiom, (cGROUP4)=(^[X1:g > g > g]:(![X16:g, X17:g, X18:g]:(X1 @ (X1 @ X16 @ X17) @ X18)=(X1 @ X16 @ (X1 @ X17 @ X18))&![X19:g, X20:g]:(?[X21:g]:(X1 @ X19 @ X21)=(X20)&?[X22:g]:(X1 @ X22 @ X19)=(X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cGROUP4_def)). 95.48/95.73 thf(cGRP_DIVISORS_def, axiom, (cGRP_DIVISORS)=(^[X1:g > g > g]:![X2:g, X3:g]:(?[X5:g]:(X1 @ X2 @ X5)=(X3)&?[X6:g]:(X1 @ X6 @ X2)=(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cGRP_DIVISORS_def)). 95.48/95.73 thf(cEQUIV_03_04, conjecture, ![X1:g > g > g]:(cGROUP4 @ X1<=>?[X7:g]:cGROUP3 @ X1 @ X7), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cEQUIV_03_04)). 95.48/95.73 thf(c_0_7, axiom, (cGROUP3)=(^[X1:g > g > g, X7:g]:((![X10:g, X11:g, X12:g]:(X1 @ (X1 @ X10 @ X11) @ X12)=(X1 @ X10 @ (X1 @ X11 @ X12))&![X13:g]:(X1 @ X13 @ X7)=(X13))&![X14:g]:?[X15:g]:(X1 @ X14 @ X15)=(X7))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[cGROUP3_def, cGRP_ASSOC_def]), cGRP_RIGHT_INVERSE_def]), cGRP_RIGHT_UNIT_def])). 95.48/95.73 thf(c_0_8, axiom, (cGROUP4)=(^[X1:g > g > g]:(![X16:g, X17:g, X18:g]:(X1 @ (X1 @ X16 @ X17) @ X18)=(X1 @ X16 @ (X1 @ X17 @ X18))&![X19:g, X20:g]:(?[X21:g]:(X1 @ X19 @ X21)=(X20)&?[X22:g]:(X1 @ X22 @ X19)=(X20)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[cGROUP4_def, cGRP_ASSOC_def]), cGRP_DIVISORS_def])). 95.48/95.73 thf(c_0_9, negated_conjecture, ~(![X1:g > g > g]:((![X23:g, X24:g, X25:g]:(X1 @ (X1 @ X23 @ X24) @ X25)=(X1 @ X23 @ (X1 @ X24 @ X25))&![X26:g, X27:g]:(?[X28:g]:(X1 @ X26 @ X28)=(X27)&?[X29:g]:(X1 @ X29 @ X26)=(X27)))<=>?[X7:g]:((![X30:g, X31:g, X32:g]:(X1 @ (X1 @ X30 @ X31) @ X32)=(X1 @ X30 @ (X1 @ X31 @ X32))&![X33:g]:(X1 @ X33 @ X7)=(X33))&![X34:g]:?[X35:g]:(X1 @ X34 @ X35)=(X7)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cEQUIV_03_04]), c_0_7]), c_0_8])). 95.48/95.73 thf(c_0_10, plain, (~epred3_0<=>![X2:g]:(esk1_0 @ esk5_0 @ X2)!=(esk6_0)), introduced(definition)). 95.48/95.73 thf(c_0_11, negated_conjecture, ![X42:g, X43:g, X44:g, X50:g, X51:g, X52:g, X53:g, X54:g, X55:g, X59:g, X60:g, X61:g, X62:g, X63:g]:(((esk1_0 @ (esk1_0 @ esk2_0 @ esk3_0) @ esk4_0)!=(esk1_0 @ esk2_0 @ (esk1_0 @ esk3_0 @ esk4_0))|((esk1_0 @ esk5_0 @ X42)!=(esk6_0)|(esk1_0 @ X43 @ esk5_0)!=(esk6_0))|((esk1_0 @ (esk1_0 @ (esk7_1 @ X44) @ (esk8_1 @ X44)) @ (esk9_1 @ X44))!=(esk1_0 @ (esk7_1 @ X44) @ (esk1_0 @ (esk8_1 @ X44) @ (esk9_1 @ X44)))|(esk1_0 @ (esk10_1 @ X44) @ X44)!=(esk10_1 @ X44)|(esk1_0 @ (esk11_1 @ X44) @ X50)!=(X44)))&(((((esk1_0 @ (esk1_0 @ X59 @ X60) @ X61)=(esk1_0 @ X59 @ (esk1_0 @ X60 @ X61))|(esk1_0 @ (esk1_0 @ X51 @ X52) @ X53)=(esk1_0 @ X51 @ (esk1_0 @ X52 @ X53)))&((esk1_0 @ X62 @ esk14_0)=(X62)|(esk1_0 @ (esk1_0 @ X51 @ X52) @ X53)=(esk1_0 @ X51 @ (esk1_0 @ X52 @ X53))))&((esk1_0 @ X63 @ (esk15_1 @ X63))=(esk14_0)|(esk1_0 @ (esk1_0 @ X51 @ X52) @ X53)=(esk1_0 @ X51 @ (esk1_0 @ X52 @ X53))))&(((((esk1_0 @ (esk1_0 @ X59 @ X60) @ X61)=(esk1_0 @ X59 @ (esk1_0 @ X60 @ X61))|(esk1_0 @ X54 @ (esk12_2 @ X54 @ X55))=(X55))&((esk1_0 @ X62 @ esk14_0)=(X62)|(esk1_0 @ X54 @ (esk12_2 @ X54 @ X55))=(X55)))&((esk1_0 @ X63 @ (esk15_1 @ X63))=(esk14_0)|(esk1_0 @ X54 @ (esk12_2 @ X54 @ X55))=(X55)))&((((esk1_0 @ (esk1_0 @ X59 @ X60) @ X61)=(esk1_0 @ X59 @ (esk1_0 @ X60 @ X61))|(esk1_0 @ (esk13_2 @ X54 @ X55) @ X54)=(X55))&((esk1_0 @ X62 @ esk14_0)=(X62)|(esk1_0 @ (esk13_2 @ X54 @ X55) @ X54)=(X55)))&((esk1_0 @ X63 @ (esk15_1 @ X63))=(esk14_0)|(esk1_0 @ (esk13_2 @ X54 @ X55) @ X54)=(X55)))))), 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_9])])])])])). 95.48/95.73 thf(c_0_12, plain, (~epred2_0<=>![X3:g]:(esk1_0 @ X3 @ esk5_0)!=(esk6_0)), introduced(definition)). 95.48/95.73 thf(c_0_13, negated_conjecture, ![X2:g]:(epred3_0|(esk1_0 @ esk5_0 @ X2)!=(esk6_0)), inference(split_equiv,[status(thm)],[c_0_10])). 95.48/95.73 thf(c_0_14, negated_conjecture, ![X2:g, X3:g, X4:g]:((esk1_0 @ X2 @ (esk15_1 @ X2))=(esk14_0)|(esk1_0 @ X3 @ (esk12_2 @ X3 @ X4))=(X4)), inference(split_conjunct,[status(thm)],[c_0_11])). 95.48/95.73 thf(c_0_15, negated_conjecture, ![X2:g]:(epred2_0|(esk1_0 @ X2 @ esk5_0)!=(esk6_0)), inference(split_equiv,[status(thm)],[c_0_12])). 95.48/95.73 thf(c_0_16, negated_conjecture, ![X2:g, X3:g, X4:g]:((esk1_0 @ X2 @ (esk15_1 @ X2))=(esk14_0)|(esk1_0 @ (esk13_2 @ X3 @ X4) @ X3)=(X4)), inference(split_conjunct,[status(thm)],[c_0_11])). 95.48/95.73 thf(c_0_17, negated_conjecture, ![X2:g, X3:g, X4:g]:((esk1_0 @ X2 @ esk14_0)=(X2)|(esk1_0 @ (esk13_2 @ X3 @ X4) @ X3)=(X4)), inference(split_conjunct,[status(thm)],[c_0_11])). 95.48/95.73 thf(c_0_18, negated_conjecture, ![X2:g, X3:g, X4:g, X5:g, X6:g, X7:g]:((esk1_0 @ (esk1_0 @ X2 @ X3) @ X4)=(esk1_0 @ X2 @ (esk1_0 @ X3 @ X4))|(esk1_0 @ (esk1_0 @ X5 @ X6) @ X7)=(esk1_0 @ X5 @ (esk1_0 @ X6 @ X7))), inference(split_conjunct,[status(thm)],[c_0_11])). 95.48/95.73 thf(c_0_19, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk15_1 @ X2))=(esk14_0)|epred3_0|(X3)!=(esk6_0)), inference(spm,[status(thm)],[c_0_13, c_0_14])). 95.48/95.73 thf(c_0_20, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk15_1 @ X2))=(esk14_0)|epred2_0|(X3)!=(esk6_0)), inference(spm,[status(thm)],[c_0_15, c_0_16])). 95.48/95.73 thf(c_0_21, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ esk14_0)=(X2)|epred2_0|(X3)!=(esk6_0)), inference(spm,[status(thm)],[c_0_15, c_0_17])). 95.48/95.73 thf(c_0_22, negated_conjecture, ![X2:g, X3:g, X4:g]:(esk1_0 @ (esk1_0 @ X2 @ X3) @ X4)=(esk1_0 @ X2 @ (esk1_0 @ X3 @ X4)), inference(ef,[status(thm)],[c_0_18])). 95.48/95.73 thf(c_0_23, negated_conjecture, ![X2:g]:((esk1_0 @ X2 @ (esk15_1 @ X2))=(esk14_0)|epred3_0), inference(er,[status(thm)],[c_0_19])). 95.48/95.73 thf(c_0_24, negated_conjecture, ![X2:g]:((esk1_0 @ X2 @ (esk15_1 @ X2))=(esk14_0)|epred2_0), inference(er,[status(thm)],[c_0_20])). 95.48/95.73 thf(c_0_25, negated_conjecture, ![X2:g]:((esk1_0 @ X2 @ esk14_0)=(X2)|epred2_0), inference(er,[status(thm)],[c_0_21])). 95.48/95.73 thf(c_0_26, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk1_0 @ (esk15_1 @ X2) @ X3))=(esk1_0 @ esk14_0 @ X3)|epred3_0), inference(spm,[status(thm)],[c_0_22, c_0_23])). 95.48/95.73 thf(c_0_27, negated_conjecture, ![X2:g, X3:g, X4:g, X5:g]:((esk1_0 @ X2 @ (esk1_0 @ (esk15_1 @ X2) @ X3))=(esk1_0 @ esk14_0 @ X3)|(esk1_0 @ X4 @ (esk12_2 @ X4 @ X5))=(X5)), inference(spm,[status(thm)],[c_0_22, c_0_14])). 95.48/95.73 thf(c_0_28, negated_conjecture, ![X2:g, X3:g, X4:g]:((esk1_0 @ X2 @ esk14_0)=(X2)|(esk1_0 @ X3 @ (esk12_2 @ X3 @ X4))=(X4)), inference(split_conjunct,[status(thm)],[c_0_11])). 95.48/95.73 thf(c_0_29, negated_conjecture, ![X2:g, X3:g]:(epred2_0|(esk1_0 @ X2 @ (esk1_0 @ X3 @ esk5_0))!=(esk6_0)), inference(spm,[status(thm)],[c_0_15, c_0_22])). 95.48/95.73 thf(c_0_30, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk1_0 @ (esk15_1 @ X2) @ X3))=(esk1_0 @ esk14_0 @ X3)|epred2_0), inference(spm,[status(thm)],[c_0_22, c_0_24])). 95.48/95.73 thf(c_0_31, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk1_0 @ X3 @ esk14_0))=(esk1_0 @ X2 @ X3)|epred2_0), inference(spm,[status(thm)],[c_0_25, c_0_22])). 95.48/95.73 thf(c_0_32, negated_conjecture, ![X2:g]:(epred3_0|(esk1_0 @ esk14_0 @ X2)!=(esk6_0)), inference(spm,[status(thm)],[c_0_13, c_0_26])). 95.48/95.73 thf(c_0_33, negated_conjecture, ![X2:g, X3:g, X4:g]:((esk1_0 @ esk14_0 @ (esk15_1 @ (esk15_1 @ X2)))=(esk1_0 @ X2 @ esk14_0)|(esk1_0 @ X3 @ (esk12_2 @ X3 @ X4))=(X4)|epred3_0), inference(spm,[status(thm)],[c_0_27, c_0_23])). 95.48/95.73 thf(c_0_34, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ esk14_0)=(X2)|epred3_0|(X3)!=(esk6_0)), inference(spm,[status(thm)],[c_0_13, c_0_28])). 95.48/95.73 thf(c_0_35, negated_conjecture, ![X2:g, X3:g, X4:g]:(epred2_0|(esk1_0 @ X2 @ (esk1_0 @ X3 @ (esk1_0 @ X4 @ esk5_0)))!=(esk6_0)), inference(spm,[status(thm)],[c_0_29, c_0_22])). 95.48/95.73 thf(c_0_36, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk1_0 @ (esk15_1 @ X2) @ X3))=(esk1_0 @ esk14_0 @ (esk1_0 @ X3 @ esk14_0))|epred2_0), inference(spm,[status(thm)],[c_0_30, c_0_31])). 95.48/95.73 thf(c_0_37, negated_conjecture, ![X2:g, X3:g, X4:g]:((esk1_0 @ X2 @ (esk12_2 @ X2 @ X3))=(X3)|epred3_0|(esk1_0 @ X4 @ esk14_0)!=(esk6_0)), inference(spm,[status(thm)],[c_0_32, c_0_33])). 95.48/95.73 thf(c_0_38, negated_conjecture, ![X2:g]:((esk1_0 @ X2 @ esk14_0)=(X2)|epred3_0), inference(er,[status(thm)],[c_0_34])). 95.48/95.73 thf(c_0_39, negated_conjecture, ![X2:g]:(epred2_0|(esk1_0 @ X2 @ (esk1_0 @ esk14_0 @ (esk1_0 @ esk5_0 @ esk14_0)))!=(esk6_0)), inference(spm,[status(thm)],[c_0_35, c_0_36])). 95.48/95.73 thf(c_0_40, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk1_0 @ esk14_0 @ X3))=(esk1_0 @ X2 @ X3)|epred2_0), inference(spm,[status(thm)],[c_0_22, c_0_25])). 95.48/95.73 thf(c_0_41, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk1_0 @ X3 @ (esk15_1 @ (esk1_0 @ X2 @ X3))))=(esk14_0)|epred2_0), inference(spm,[status(thm)],[c_0_24, c_0_22])). 95.48/95.73 thf(c_0_42, plain, (~epred1_0<=>![X5:g, X4:g]:((esk1_0 @ (esk11_1 @ X4) @ X5)!=(X4)|(esk1_0 @ (esk10_1 @ X4) @ X4)!=(esk10_1 @ X4)|(esk1_0 @ (esk1_0 @ esk2_0 @ esk3_0) @ esk4_0)!=(esk1_0 @ esk2_0 @ (esk1_0 @ esk3_0 @ esk4_0))|(esk1_0 @ (esk1_0 @ (esk7_1 @ X4) @ (esk8_1 @ X4)) @ (esk9_1 @ X4))!=(esk1_0 @ (esk7_1 @ X4) @ (esk1_0 @ (esk8_1 @ X4) @ (esk9_1 @ X4))))), introduced(definition)). 95.48/95.73 thf(c_0_43, negated_conjecture, ![X2:g, X3:g, X4:g]:((esk1_0 @ X2 @ (esk12_2 @ X2 @ X3))=(X3)|epred3_0|(X4)!=(esk6_0)), inference(spm,[status(thm)],[c_0_37, c_0_38])). 95.48/95.73 thf(c_0_44, negated_conjecture, ![X2:g]:(epred2_0|(esk1_0 @ X2 @ (esk1_0 @ esk5_0 @ esk14_0))!=(esk6_0)), inference(spm,[status(thm)],[c_0_39, c_0_40])). 95.48/95.73 thf(c_0_45, negated_conjecture, ![X2:g]:((esk1_0 @ X2 @ (esk1_0 @ esk14_0 @ (esk15_1 @ X2)))=(esk14_0)|epred2_0), inference(spm,[status(thm)],[c_0_41, c_0_25])). 95.48/95.73 thf(c_0_46, negated_conjecture, ![X2:g]:((esk1_0 @ esk14_0 @ (esk15_1 @ (esk15_1 @ X2)))=(esk1_0 @ X2 @ esk14_0)|epred2_0), inference(spm,[status(thm)],[c_0_30, c_0_24])). 95.48/95.73 thf(c_0_47, negated_conjecture, ![X3:g, X2:g]:(epred1_0|(esk1_0 @ (esk1_0 @ (esk7_1 @ X2) @ (esk8_1 @ X2)) @ (esk9_1 @ X2))!=(esk1_0 @ (esk7_1 @ X2) @ (esk1_0 @ (esk8_1 @ X2) @ (esk9_1 @ X2)))|(esk1_0 @ (esk1_0 @ esk2_0 @ esk3_0) @ esk4_0)!=(esk1_0 @ esk2_0 @ (esk1_0 @ esk3_0 @ esk4_0))|(esk1_0 @ (esk10_1 @ X2) @ X2)!=(esk10_1 @ X2)|(esk1_0 @ (esk11_1 @ X2) @ X3)!=(X2)), inference(split_equiv,[status(thm)],[c_0_42])). 95.48/95.73 thf(c_0_48, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk12_2 @ X2 @ X3))=(X3)|epred3_0), inference(er,[status(thm)],[c_0_43])). 95.48/95.73 thf(c_0_49, negated_conjecture, ![X2:g, X3:g]:(epred2_0|(esk1_0 @ X2 @ (esk1_0 @ X3 @ (esk1_0 @ esk5_0 @ esk14_0)))!=(esk6_0)), inference(spm,[status(thm)],[c_0_44, c_0_22])). 95.48/95.73 thf(c_0_50, negated_conjecture, ![X2:g]:((esk1_0 @ (esk15_1 @ X2) @ (esk1_0 @ X2 @ esk14_0))=(esk14_0)|epred2_0), inference(spm,[status(thm)],[c_0_45, c_0_46])). 95.48/95.73 thf(c_0_51, negated_conjecture, ![X3:g, X2:g]:(epred1_0|(esk1_0 @ (esk10_1 @ X2) @ X2)!=(esk10_1 @ X2)|(esk1_0 @ (esk11_1 @ X2) @ X3)!=(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_22]), c_0_22])])). 95.48/95.73 thf(c_0_52, negated_conjecture, ![X2:g, X3:g, X5:g, X4:g]:((esk1_0 @ (esk1_0 @ esk2_0 @ esk3_0) @ esk4_0)!=(esk1_0 @ esk2_0 @ (esk1_0 @ esk3_0 @ esk4_0))|(esk1_0 @ esk5_0 @ X2)!=(esk6_0)|(esk1_0 @ X3 @ esk5_0)!=(esk6_0)|(esk1_0 @ (esk1_0 @ (esk7_1 @ X4) @ (esk8_1 @ X4)) @ (esk9_1 @ X4))!=(esk1_0 @ (esk7_1 @ X4) @ (esk1_0 @ (esk8_1 @ X4) @ (esk9_1 @ X4)))|(esk1_0 @ (esk10_1 @ X4) @ X4)!=(esk10_1 @ X4)|(esk1_0 @ (esk11_1 @ X4) @ X5)!=(X4)), inference(split_conjunct,[status(thm)],[c_0_11])). 95.48/95.73 thf(c_0_53, negated_conjecture, ![X2:g]:(epred3_0|(X2)!=(esk6_0)), inference(spm,[status(thm)],[c_0_32, c_0_48])). 95.48/95.73 thf(c_0_54, negated_conjecture, ![X2:g]:(epred2_0|(esk1_0 @ X2 @ esk14_0)!=(esk6_0)), inference(spm,[status(thm)],[c_0_49, c_0_50])). 95.48/95.73 thf(c_0_55, negated_conjecture, ![X2:g, X3:g, X4:g]:((esk1_0 @ (esk13_2 @ X2 @ X3) @ X2)=(X3)|epred1_0|(esk1_0 @ (esk11_1 @ esk14_0) @ X4)!=(esk14_0)), inference(spm,[status(thm)],[c_0_51, c_0_17])). 95.48/95.73 thf(c_0_56, negated_conjecture, (~epred3_0|~epred2_0|~epred1_0), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_52, c_0_42]), c_0_12]), c_0_10])). 95.48/95.73 thf(c_0_57, negated_conjecture, epred3_0, inference(er,[status(thm)],[c_0_53])). 95.48/95.73 thf(c_0_58, negated_conjecture, ![X2:g]:(epred2_0|(X2)!=(esk6_0)), inference(spm,[status(thm)],[c_0_54, c_0_25])). 95.48/95.73 thf(c_0_59, negated_conjecture, ![X2:g, X3:g, X4:g, X5:g]:((esk1_0 @ X2 @ (esk1_0 @ esk14_0 @ X3))=(esk1_0 @ X2 @ X3)|(esk1_0 @ (esk13_2 @ X4 @ X5) @ X4)=(X5)), inference(spm,[status(thm)],[c_0_22, c_0_17])). 95.48/95.73 thf(c_0_60, negated_conjecture, ![X2:g, X3:g, X4:g, X5:g]:((esk1_0 @ (esk13_2 @ X2 @ X3) @ X2)=(X3)|(esk1_0 @ (esk13_2 @ X4 @ X5) @ X4)=(X5)|epred1_0), inference(spm,[status(thm)],[c_0_55, c_0_16])). 95.48/95.73 thf(c_0_61, negated_conjecture, (~epred2_0|~epred1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])). 95.48/95.73 thf(c_0_62, negated_conjecture, epred2_0, inference(er,[status(thm)],[c_0_58])). 95.48/95.73 thf(c_0_63, negated_conjecture, ![X2:g, X3:g, X4:g, X5:g, X6:g]:((esk1_0 @ (esk13_2 @ X2 @ X3) @ (esk1_0 @ X2 @ X4))=(esk1_0 @ X3 @ X4)|(esk1_0 @ X5 @ (esk1_0 @ esk14_0 @ X6))=(esk1_0 @ X5 @ X6)), inference(spm,[status(thm)],[c_0_22, c_0_59])). 95.48/95.73 thf(c_0_64, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ (esk13_2 @ X2 @ X3) @ X2)=(X3)|epred1_0), inference(ef,[status(thm)],[c_0_60])). 95.48/95.73 thf(c_0_65, negated_conjecture, ~epred1_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])])). 95.48/95.73 thf(c_0_66, negated_conjecture, ![X2:g, X3:g, X4:g]:((esk1_0 @ X2 @ (esk12_2 @ X2 @ X3))=(X3)|epred1_0|(esk1_0 @ (esk11_1 @ esk14_0) @ X4)!=(esk14_0)), inference(spm,[status(thm)],[c_0_51, c_0_28])). 95.48/95.73 thf(c_0_67, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ (esk13_2 @ esk14_0 @ X2) @ (esk1_0 @ esk14_0 @ X3))=(esk1_0 @ X2 @ X3)|(esk1_0 @ (esk13_2 @ esk14_0 @ X2) @ X3)!=(esk1_0 @ X2 @ X3)), inference(ef,[status(thm)],[c_0_63])). 95.48/95.73 thf(c_0_68, negated_conjecture, ![X2:g, X3:g]:(esk1_0 @ (esk13_2 @ X2 @ X3) @ X2)=(X3), inference(sr,[status(thm)],[c_0_64, c_0_65])). 95.48/95.73 thf(c_0_69, negated_conjecture, ![X2:g, X3:g, X4:g, X5:g]:((esk1_0 @ (esk13_2 @ X2 @ X3) @ (esk1_0 @ X2 @ X4))=(esk1_0 @ X3 @ X4)|(esk1_0 @ X5 @ esk14_0)=(X5)), inference(spm,[status(thm)],[c_0_22, c_0_17])). 95.48/95.73 thf(c_0_70, negated_conjecture, ![X2:g, X3:g, X4:g, X5:g]:((esk1_0 @ X2 @ (esk12_2 @ X2 @ X3))=(X3)|(esk1_0 @ X4 @ (esk12_2 @ X4 @ X5))=(X5)|epred1_0), inference(spm,[status(thm)],[c_0_66, c_0_14])). 95.48/95.73 thf(c_0_71, negated_conjecture, ![X2:g]:(esk1_0 @ (esk13_2 @ esk14_0 @ X2) @ (esk1_0 @ esk14_0 @ esk14_0))=(esk1_0 @ X2 @ esk14_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69])). 95.48/95.73 thf(c_0_72, negated_conjecture, ![X2:g, X3:g]:((esk1_0 @ X2 @ (esk12_2 @ X2 @ X3))=(X3)|epred1_0), inference(ef,[status(thm)],[c_0_70])). 95.48/95.73 thf(c_0_73, negated_conjecture, ![X2:g, X3:g]:(esk1_0 @ (esk13_2 @ esk14_0 @ X2) @ (esk1_0 @ esk14_0 @ (esk1_0 @ esk14_0 @ X3)))=(esk1_0 @ X2 @ (esk1_0 @ esk14_0 @ X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_71]), c_0_22]), c_0_22])). 95.48/95.73 thf(c_0_74, negated_conjecture, ![X2:g, X3:g]:(esk1_0 @ X2 @ (esk12_2 @ X2 @ X3))=(X3), inference(sr,[status(thm)],[c_0_72, c_0_65])). 95.48/95.73 thf(c_0_75, negated_conjecture, ![X2:g, X3:g]:(esk1_0 @ (esk13_2 @ esk14_0 @ X2) @ (esk1_0 @ esk14_0 @ X3))=(esk1_0 @ X2 @ X3), inference(spm,[status(thm)],[c_0_73, c_0_74])). 95.48/95.73 thf(c_0_76, negated_conjecture, ![X2:g, X3:g]:(esk1_0 @ (esk13_2 @ esk14_0 @ X2) @ X3)=(esk1_0 @ X2 @ (esk12_2 @ esk14_0 @ X3)), inference(spm,[status(thm)],[c_0_75, c_0_74])). 95.48/95.73 thf(c_0_77, negated_conjecture, ![X2:g]:(esk1_0 @ X2 @ (esk12_2 @ esk14_0 @ esk14_0))=(X2), inference(spm,[status(thm)],[c_0_68, c_0_76])). 95.48/95.73 thf(c_0_78, negated_conjecture, ![X2:g]:(esk1_0 @ (esk11_1 @ (esk12_2 @ esk14_0 @ esk14_0)) @ X2)!=(esk12_2 @ esk14_0 @ esk14_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_77]), c_0_65])). 95.48/95.73 thf(c_0_79, negated_conjecture, ![X2:g]:(X2)!=(esk12_2 @ esk14_0 @ esk14_0), inference(spm,[status(thm)],[c_0_78, c_0_74])). 95.48/95.73 thf(c_0_80, negated_conjecture, ($false), inference(er,[status(thm)],[c_0_79]), ['proof']). 95.48/95.73 # SZS output end CNFRefutation 95.48/95.73 # Proof object total steps : 81 95.48/95.73 # Proof object clause steps : 67 95.48/95.73 # Proof object formula steps : 14 95.48/95.73 # Proof object conjectures : 70 95.48/95.73 # Proof object clause conjectures : 67 95.48/95.73 # Proof object formula conjectures : 3 95.48/95.73 # Proof object initial clauses used : 9 95.48/95.73 # Proof object initial formulas used : 7 95.48/95.73 # Proof object generating inferences : 52 95.48/95.73 # Proof object simplifying inferences : 16 95.48/95.73 # Training examples: 0 positive, 0 negative 95.48/95.73 # Parsed axioms : 14 95.48/95.73 # Removed by relevancy pruning/SinE : 0 95.48/95.73 # Initial clauses : 17 95.48/95.73 # Removed in clause preprocessing : 7 95.48/95.73 # Initial clauses in saturation : 10 95.48/95.73 # Processed clauses : 23645 95.48/95.73 # ...of these trivial : 0 95.48/95.73 # ...subsumed : 22173 95.48/95.73 # ...remaining for further processing : 1472 95.48/95.73 # Other redundant clauses eliminated : 0 95.48/95.73 # Clauses deleted for lack of memory : 0 95.48/95.73 # Backward-subsumed : 285 95.48/95.73 # Backward-rewritten : 1099 95.48/95.73 # Generated clauses : 279768 95.48/95.73 # ...of the previous two non-trivial : 279596 95.48/95.73 # Contextual simplify-reflections : 4 95.48/95.73 # Paramodulations : 279596 95.48/95.73 # Factorizations : 132 95.48/95.73 # NegExts : 0 95.48/95.73 # Equation resolutions : 34 95.48/95.73 # Propositional unsat checks : 0 95.48/95.73 # Propositional check models : 0 95.48/95.73 # Propositional check unsatisfiable : 0 95.48/95.73 # Propositional clauses : 0 95.48/95.73 # Propositional clauses after purity: 0 95.48/95.73 # Propositional unsat core size : 0 95.48/95.73 # Propositional preprocessing time : 0.000 95.48/95.73 # Propositional encoding time : 0.000 95.48/95.73 # Propositional solver time : 0.000 95.48/95.73 # Success case prop preproc time : 0.000 95.48/95.73 # Success case prop encoding time : 0.000 95.48/95.73 # Success case prop solver time : 0.000 95.48/95.73 # Current number of processed clauses : 72 95.48/95.73 # Positive orientable unit clauses : 7 95.48/95.73 # Positive unorientable unit clauses: 0 95.48/95.73 # Negative unit clauses : 4 95.48/95.73 # Non-unit-clauses : 61 95.48/95.73 # Current number of unprocessed clauses: 225666 95.48/95.73 # ...number of literals in the above : 845825 95.48/95.73 # Current number of archived formulas : 0 95.48/95.73 # Current number of archived clauses : 1399 95.48/95.73 # Clause-clause subsumption calls (NU) : 1774277 95.48/95.73 # Rec. Clause-clause subsumption calls : 1727209 95.48/95.73 # Non-unit clause-clause subsumptions : 22370 95.48/95.73 # Unit Clause-clause subsumption calls : 517 95.48/95.73 # Rewrite failures with RHS unbound : 0 95.48/95.73 # BW rewrite match attempts : 50 95.48/95.73 # BW rewrite match successes : 28 95.48/95.73 # Condensation attempts : 0 95.48/95.73 # Condensation successes : 0 95.48/95.73 # Termbank termtop insertions : 5416171 95.48/95.74 95.48/95.74 # ------------------------------------------------- 95.48/95.74 # User time : 93.104 s 95.48/95.74 # System time : 2.243 s 95.48/95.74 # Total time : 95.347 s 95.48/95.74 # Maximum resident set size: 1652 pages 95.48/95.74 EOF