0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % 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 0.13/0.33 % Computer : n008.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1200 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Jul 13 11:45:14 EDT 2021 0.13/0.33 % CPUTime : 0.20/0.33 % Number of cores: 8 0.20/0.34 % Python version: Python 3.6.8 0.20/0.34 # Version: 2.6rc1-ho 0.20/0.34 # No SInE strategy applied 0.20/0.34 # Trying AutoSched0 for 59 seconds 59.14/59.34 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S065A 59.14/59.34 # and selection function SelectComplexAHP. 59.14/59.34 # 59.14/59.34 # Preprocessing time : 0.029 s 59.14/59.34 # Presaturation interreduction done 59.14/59.43 # No success with AutoSched0 59.14/59.43 # Trying AutoSched1 for 26 seconds 59.27/59.51 # AutoSched1-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN 59.27/59.51 # and selection function PSelectComplexExceptUniqMaxHorn. 59.27/59.51 # 59.27/59.51 # Preprocessing time : 0.029 s 59.27/59.51 # Presaturation interreduction done 59.27/59.51 59.27/59.51 # Proof found! 59.27/59.51 # SZS status Theorem 59.27/59.51 # SZS output start CNFRefutation 59.27/59.51 thf(cTHM2A_ONE_pme, conjecture, ![X1:($i > $o) > $i > $o]:(![X2:$i > $o, X3:$i > $o]:(![X4:$i]:(X1 @ X3 @ X4<=X1 @ X2 @ X4)<=![X4:$i]:(X3 @ X4<=X2 @ X4))=>![X5:$i]:(X1 @ (^[X4:$i]:?[X6:$i > $o]:(X6 @ X4&![X7:$i]:(X6 @ X7=>X1 @ X6 @ X7))) @ X5=>?[X6:$i > $o]:(![X4:$i]:(X1 @ X6 @ X4<=X6 @ X4)&X6 @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cTHM2A_ONE_pme)). 59.27/59.51 thf(c_0_1, plain, ![X4:$i, X1:($i > $o) > $i > $o]:(epred1_2 @ X1 @ X4<=>?[X6:$i > $o]:(X6 @ X4&![X7:$i]:(X6 @ X7=>X1 @ X6 @ X7))), introduced(definition)). 59.27/59.51 thf(c_0_2, negated_conjecture, ~(![X1:($i > $o) > $i > $o]:(![X2:$i > $o, X3:$i > $o]:(![X4:$i]:(X2 @ X4=>X3 @ X4)=>![X4:$i]:(X1 @ X2 @ X4=>X1 @ X3 @ X4))=>![X5:$i]:(X1 @ (epred1_2 @ X1) @ X5=>?[X6:$i > $o]:(![X4:$i]:(X6 @ X4=>X1 @ X6 @ X4)&X6 @ X5)))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM2A_ONE_pme]), c_0_1])])). 59.27/59.51 thf(c_0_3, plain, ![X24:$i, X25:($i > $o) > $i > $o, X27:$i, X28:$i, X29:($i > $o) > $i > $o, X30:$i > $o]:(((epred3_2 @ X24 @ X25 @ X24|~epred1_2 @ X25 @ X24)&(~epred3_2 @ X24 @ X25 @ X27|X25 @ (epred3_2 @ X24 @ X25) @ X27|~epred1_2 @ X25 @ X24))&((X30 @ (esk4_3 @ X28 @ X29 @ X30)|~X30 @ X28|epred1_2 @ X29 @ X28)&(~X29 @ X30 @ (esk4_3 @ X28 @ X29 @ X30)|~X30 @ X28|epred1_2 @ X29 @ X28))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])])). 59.27/59.51 thf(c_0_4, negated_conjecture, ![X17:$i > $o, X18:$i > $o, X20:$i, X22:$i > $o]:(((X17 @ (esk1_2 @ X17 @ X18)|(~epred2_0 @ X17 @ X20|epred2_0 @ X18 @ X20))&(~X18 @ (esk1_2 @ X17 @ X18)|(~epred2_0 @ X17 @ X20|epred2_0 @ X18 @ X20)))&(epred2_0 @ (epred1_2 @ epred2_0) @ esk2_0&((X22 @ (esk3_1 @ X22)|~X22 @ esk2_0)&(~epred2_0 @ X22 @ (esk3_1 @ X22)|~X22 @ esk2_0)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])). 59.27/59.51 thf(c_0_5, plain, ![X1:($i > $o) > $i > $o, X2:$i > $o, X4:$i]:(X2 @ (esk4_3 @ X4 @ X1 @ X2)|epred1_2 @ X1 @ X4|~X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_3])). 59.27/59.51 thf(c_0_6, negated_conjecture, ![X2:$i > $o]:(X2 @ (esk3_1 @ X2)|~X2 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_4])). 59.27/59.51 thf(c_0_7, negated_conjecture, ![X1:($i > $o) > $i > $o, X2:$i > $o]:(X2 @ (esk4_3 @ (esk3_1 @ X2) @ X1 @ X2)|epred1_2 @ X1 @ (esk3_1 @ X2)|~X2 @ esk2_0), inference(spm,[status(thm)],[c_0_5, c_0_6])). 59.27/59.51 thf(c_0_8, negated_conjecture, epred2_0 @ (epred1_2 @ epred2_0) @ esk2_0, inference(split_conjunct,[status(thm)],[c_0_4])). 59.27/59.51 thf(c_0_9, negated_conjecture, ![X2:$i > $o, X3:$i > $o, X4:$i]:(X2 @ (esk1_2 @ X2 @ X3)|epred2_0 @ X3 @ X4|~epred2_0 @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_4])). 59.27/59.51 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > $i > $o]:(epred2_0 @ (epred1_2 @ epred2_0) @ (esk4_3 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ X1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ X1 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(spm,[status(thm)],[c_0_7, c_0_8])). 59.27/59.51 thf(c_0_11, plain, ![X1:($i > $o) > $i > $o, X5:$i, X4:$i]:(X1 @ (epred3_2 @ X4 @ X1) @ X5|~epred3_2 @ X4 @ X1 @ X5|~epred1_2 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_3])). 59.27/59.51 thf(c_0_12, plain, ![X1:($i > $o) > $i > $o, X2:$i > $o, X4:$i]:(epred1_2 @ X1 @ X4|~X1 @ X2 @ (esk4_3 @ X4 @ X1 @ X2)|~X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_3])). 59.27/59.51 thf(c_0_13, negated_conjecture, ![X1:($i > $o) > $i > $o, X2:$i > $o]:(epred2_0 @ X2 @ (esk4_3 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ X1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ X1 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)), inference(spm,[status(thm)],[c_0_9, c_0_10])). 59.27/59.51 thf(c_0_14, negated_conjecture, ![X2:$i > $o, X5:$i, X4:$i]:(epred3_2 @ X4 @ epred2_0 @ (esk1_2 @ (epred3_2 @ X4 @ epred2_0) @ X2)|epred2_0 @ X2 @ X5|~epred3_2 @ X4 @ epred2_0 @ X5|~epred1_2 @ epred2_0 @ X4), inference(spm,[status(thm)],[c_0_9, c_0_11])). 59.27/59.51 thf(c_0_15, plain, ![X1:($i > $o) > $i > $o, X4:$i]:(epred3_2 @ X4 @ X1 @ X4|~epred1_2 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_3])). 59.27/59.51 thf(c_0_16, plain, (epred1_2 @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|~epred2_0 @ (epred1_2 @ epred2_0) @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 59.27/59.51 thf(c_0_17, plain, ![X2:$i > $o, X4:$i]:(epred3_2 @ X4 @ epred2_0 @ (esk1_2 @ (epred3_2 @ X4 @ epred2_0) @ X2)|epred2_0 @ X2 @ X4|~epred1_2 @ epred2_0 @ X4), inference(spm,[status(thm)],[c_0_14, c_0_15])). 59.27/59.51 thf(c_0_18, negated_conjecture, (epred1_2 @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_6]), c_0_8])])). 59.27/59.51 thf(c_0_19, plain, ![X1:($i > $o) > $i > $o, X4:$i, X5:$i]:(epred1_2 @ X1 @ X4|~epred3_2 @ X5 @ X1 @ X4|~epred1_2 @ X1 @ X5), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_11]), c_0_5])). 59.27/59.51 thf(c_0_20, negated_conjecture, ![X2:$i > $o]:(epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0 @ (esk1_2 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ X2)|epred2_0 @ X2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 59.27/59.51 thf(c_0_21, negated_conjecture, ![X2:$i > $o, X3:$i > $o, X4:$i]:(epred2_0 @ X2 @ X4|~X2 @ (esk1_2 @ X3 @ X2)|~epred2_0 @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_4])). 59.27/59.51 thf(c_0_22, plain, ![X2:$i > $o]:(epred1_2 @ epred2_0 @ (esk1_2 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ X2)|epred2_0 @ X2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_18])). 59.27/59.51 thf(c_0_23, negated_conjecture, ![X4:$i]:(epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred2_0 @ (epred1_2 @ epred2_0) @ X4|~epred2_0 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ X4), inference(spm,[status(thm)],[c_0_21, c_0_22])). 59.27/59.51 thf(c_0_24, negated_conjecture, (epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|~epred2_0 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(ef,[status(thm)],[c_0_23])). 59.27/59.51 thf(c_0_25, plain, (epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|~epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_11]), c_0_18])). 59.27/59.51 thf(c_0_26, plain, (epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_15]), c_0_18])). 59.27/59.51 thf(c_0_27, negated_conjecture, ![X4:$i]:(epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ X4|~epred2_0 @ (epred1_2 @ epred2_0) @ X4), inference(spm,[status(thm)],[c_0_21, c_0_26])). 59.27/59.51 thf(c_0_28, negated_conjecture, ![X2:$i > $o]:(epred1_2 @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)|epred2_0 @ X2 @ esk2_0), inference(spm,[status(thm)],[c_0_9, c_0_8])). 59.27/59.51 thf(c_0_29, negated_conjecture, ![X2:$i > $o]:(~epred2_0 @ X2 @ (esk3_1 @ X2)|~X2 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_4])). 59.27/59.51 thf(c_0_30, negated_conjecture, (epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_6]), c_0_8])])). 59.27/59.51 thf(c_0_31, negated_conjecture, ![X3:$i > $o, X2:$i > $o]:(epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2) @ epred2_0 @ (esk1_2 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2) @ epred2_0) @ X3)|epred2_0 @ X3 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)|epred2_0 @ X2 @ esk2_0), inference(spm,[status(thm)],[c_0_17, c_0_28])). 59.27/59.51 thf(c_0_32, negated_conjecture, epred1_2 @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_8])])). 59.27/59.51 thf(c_0_33, plain, ![X3:$i > $o, X2:$i > $o]:(epred1_2 @ epred2_0 @ (esk1_2 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2) @ epred2_0) @ X3)|epred2_0 @ X3 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)|epred2_0 @ X2 @ esk2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_31]), c_0_28])). 59.27/59.51 thf(c_0_34, plain, ![X2:$i > $o]:(epred3_2 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0 @ (esk1_2 @ (epred3_2 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ X2)|epred2_0 @ X2 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(spm,[status(thm)],[c_0_17, c_0_32])). 59.27/59.51 thf(c_0_35, negated_conjecture, ![X2:$i > $o, X4:$i]:(epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)|epred2_0 @ (epred1_2 @ epred2_0) @ X4|epred2_0 @ X2 @ esk2_0|~epred2_0 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2) @ epred2_0) @ X4), inference(spm,[status(thm)],[c_0_21, c_0_33])). 59.27/59.51 thf(c_0_36, plain, ![X2:$i > $o]:(epred1_2 @ epred2_0 @ (esk1_2 @ (epred3_2 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ X2)|epred2_0 @ X2 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_34]), c_0_32])])). 59.27/59.51 thf(c_0_37, negated_conjecture, ![X2:$i > $o]:(epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)|epred2_0 @ X2 @ esk2_0|~epred2_0 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2) @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)), inference(ef,[status(thm)],[c_0_35])). 59.27/59.51 thf(c_0_38, negated_conjecture, ![X4:$i]:(epred2_0 @ (epred1_2 @ epred2_0) @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred2_0 @ (epred1_2 @ epred2_0) @ X4|~epred2_0 @ (epred3_2 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ X4), inference(spm,[status(thm)],[c_0_21, c_0_36])). 59.27/59.51 thf(c_0_39, plain, ![X2:$i > $o]:(epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)|epred2_0 @ X2 @ esk2_0|~epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2) @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_11]), c_0_28])). 59.27/59.51 thf(c_0_40, negated_conjecture, (epred2_0 @ (epred1_2 @ epred2_0) @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|~epred2_0 @ (epred3_2 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(ef,[status(thm)],[c_0_38])). 59.27/59.51 thf(c_0_41, plain, ![X2:$i > $o]:(epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)|epred2_0 @ X2 @ esk2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_15]), c_0_28])). 59.27/59.51 thf(c_0_42, plain, (epred2_0 @ (epred1_2 @ epred2_0) @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|~epred3_2 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0 @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_11]), c_0_32])])). 59.27/59.51 thf(c_0_43, negated_conjecture, ![X4:$i]:(epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ esk2_0|epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ X4|~epred2_0 @ (epred1_2 @ epred2_0) @ X4), inference(spm,[status(thm)],[c_0_21, c_0_41])). 59.27/59.51 thf(c_0_44, plain, epred2_0 @ (epred1_2 @ epred2_0) @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_15]), c_0_32])])). 59.27/59.51 thf(c_0_45, plain, (epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ (esk3_1 @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ esk2_0), inference(spm,[status(thm)],[c_0_43, c_0_44])). 59.27/59.51 thf(c_0_46, negated_conjecture, ![X2:$i > $o, X3:$i > $o]:(epred2_0 @ X2 @ (esk3_1 @ (epred2_0 @ X3))|X3 @ (esk1_2 @ X3 @ X2)|~epred2_0 @ X3 @ esk2_0), inference(spm,[status(thm)],[c_0_9, c_0_6])). 59.27/59.51 thf(c_0_47, negated_conjecture, epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ esk2_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_45]), c_0_8])])). 59.27/59.51 thf(c_0_48, negated_conjecture, ![X2:$i > $o]:(epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ X2)|epred2_0 @ X2 @ (esk3_1 @ (epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0))))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 59.27/59.51 thf(c_0_49, negated_conjecture, ![X2:$i > $o, X3:$i > $o]:(epred2_0 @ X2 @ (esk3_1 @ (epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0))))|epred2_0 @ X3 @ (esk1_2 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ X2)|epred1_2 @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X3)), inference(spm,[status(thm)],[c_0_9, c_0_48])). 59.27/59.51 thf(c_0_50, negated_conjecture, ![X2:$i > $o]:(epred2_0 @ X2 @ (esk1_2 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ (epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0))))|epred1_2 @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_49]), c_0_47])])). 59.27/59.51 thf(c_0_51, negated_conjecture, ![X4:$i]:(epred1_2 @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred2_0 @ (epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ X4|~epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ X4), inference(spm,[status(thm)],[c_0_21, c_0_50])). 59.27/59.51 thf(c_0_52, plain, ![X1:($i > $o) > $i > $o]:(epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ (esk4_3 @ esk2_0 @ X1 @ (epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0))))|epred1_2 @ X1 @ esk2_0), inference(spm,[status(thm)],[c_0_5, c_0_47])). 59.27/59.51 thf(c_0_53, negated_conjecture, ![X4:$i]:(~epred3_2 @ X4 @ epred2_0 @ esk2_0|~epred1_2 @ epred2_0 @ X4), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_11]), c_0_6])). 59.27/59.51 thf(c_0_54, plain, ![X1:($i > $o) > $i > $o]:(epred2_0 @ (epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0))) @ (esk4_3 @ esk2_0 @ X1 @ (epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0))))|epred1_2 @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred1_2 @ X1 @ esk2_0), inference(spm,[status(thm)],[c_0_51, c_0_52])). 59.27/59.51 thf(c_0_55, plain, ~epred1_2 @ epred2_0 @ esk2_0, inference(spm,[status(thm)],[c_0_53, c_0_15])). 59.27/59.51 thf(c_0_56, plain, epred1_2 @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_54]), c_0_47])]), c_0_55])). 59.27/59.51 thf(c_0_57, plain, ![X2:$i > $o]:(epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0 @ (esk1_2 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ X2)|epred2_0 @ X2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(spm,[status(thm)],[c_0_17, c_0_56])). 59.27/59.51 thf(c_0_58, plain, ![X2:$i > $o]:(epred1_2 @ epred2_0 @ (esk1_2 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ X2)|epred2_0 @ X2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_57]), c_0_56])])). 59.27/59.51 thf(c_0_59, negated_conjecture, ![X4:$i]:(epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|epred2_0 @ (epred1_2 @ epred2_0) @ X4|~epred2_0 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ X4), inference(spm,[status(thm)],[c_0_21, c_0_58])). 59.27/59.51 thf(c_0_60, negated_conjecture, (epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|~epred2_0 @ (epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(ef,[status(thm)],[c_0_59])). 59.27/59.51 thf(c_0_61, plain, (epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))|~epred3_2 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))) @ epred2_0 @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_11]), c_0_56])])). 59.27/59.51 thf(c_0_62, plain, epred2_0 @ (epred1_2 @ epred2_0) @ (esk1_2 @ (epred1_2 @ epred2_0) @ (epred2_0 @ (epred1_2 @ epred2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_15]), c_0_56])])). 59.27/59.51 thf(c_0_63, negated_conjecture, ![X4:$i]:(epred2_0 @ (epred2_0 @ (epred1_2 @ epred2_0)) @ X4|~epred2_0 @ (epred1_2 @ epred2_0) @ X4), inference(spm,[status(thm)],[c_0_21, c_0_62])). 59.27/59.51 thf(c_0_64, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_63]), c_0_8]), c_0_44])]), ['proof']). 59.27/59.51 # SZS output end CNFRefutation 59.27/59.51 # Proof object total steps : 65 59.27/59.51 # Proof object clause steps : 60 59.27/59.51 # Proof object formula steps : 5 59.27/59.51 # Proof object conjectures : 37 59.27/59.51 # Proof object clause conjectures : 34 59.27/59.51 # Proof object formula conjectures : 3 59.27/59.51 # Proof object initial clauses used : 9 59.27/59.51 # Proof object initial formulas used : 1 59.27/59.51 # Proof object generating inferences : 51 59.27/59.51 # Proof object simplifying inferences : 36 59.27/59.51 # Training examples: 0 positive, 0 negative 59.27/59.51 # Parsed axioms : 1 59.27/59.51 # Removed by relevancy pruning/SinE : 0 59.27/59.51 # Initial clauses : 9 59.27/59.51 # Removed in clause preprocessing : 0 59.27/59.51 # Initial clauses in saturation : 9 59.27/59.51 # Processed clauses : 241 59.27/59.51 # ...of these trivial : 2 59.27/59.51 # ...subsumed : 41 59.27/59.51 # ...remaining for further processing : 198 59.27/59.51 # Other redundant clauses eliminated : 189 59.27/59.51 # Clauses deleted for lack of memory : 0 59.27/59.51 # Backward-subsumed : 33 59.27/59.51 # Backward-rewritten : 23 59.27/59.51 # Generated clauses : 1981 59.27/59.51 # ...of the previous two non-trivial : 821 59.27/59.51 # Contextual simplify-reflections : 14 59.27/59.51 # Paramodulations : 683 59.27/59.51 # Factorizations : 30 59.27/59.51 # NegExts : 7 59.27/59.51 # Equation resolutions : 189 59.27/59.51 # Propositional unsat checks : 0 59.27/59.51 # Propositional check models : 0 59.27/59.51 # Propositional check unsatisfiable : 0 59.27/59.51 # Propositional clauses : 0 59.27/59.51 # Propositional clauses after purity: 0 59.27/59.51 # Propositional unsat core size : 0 59.27/59.51 # Propositional preprocessing time : 0.000 59.27/59.51 # Propositional encoding time : 0.000 59.27/59.51 # Propositional solver time : 0.000 59.27/59.51 # Success case prop preproc time : 0.000 59.27/59.51 # Success case prop encoding time : 0.000 59.27/59.51 # Success case prop solver time : 0.000 59.27/59.51 # Current number of processed clauses : 129 59.27/59.51 # Positive orientable unit clauses : 7 59.27/59.51 # Positive unorientable unit clauses: 0 59.27/59.51 # Negative unit clauses : 2 59.27/59.51 # Non-unit-clauses : 120 59.27/59.51 # Current number of unprocessed clauses: 494 59.27/59.51 # ...number of literals in the above : 2293 59.27/59.51 # Current number of archived formulas : 0 59.27/59.51 # Current number of archived clauses : 69 59.27/59.51 # Clause-clause subsumption calls (NU) : 2866 59.27/59.51 # Rec. Clause-clause subsumption calls : 1581 59.27/59.51 # Non-unit clause-clause subsumptions : 55 59.27/59.51 # Unit Clause-clause subsumption calls : 171 59.27/59.51 # Rewrite failures with RHS unbound : 0 59.27/59.51 # BW rewrite match attempts : 7 59.27/59.51 # BW rewrite match successes : 6 59.27/59.51 # Condensation attempts : 0 59.27/59.51 # Condensation successes : 0 59.27/59.51 # Termbank termtop insertions : 41031 59.27/59.51 59.27/59.51 # ------------------------------------------------- 59.27/59.51 # User time : 58.141 s 59.27/59.51 # System time : 1.028 s 59.27/59.51 # Total time : 59.170 s 59.27/59.51 # Maximum resident set size: 1644 pages 59.27/59.51 EOF