0.04/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % 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 0.12/0.32 % Computer : n007.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1200 0.12/0.32 % WCLimit : 120 0.12/0.32 % DateTime : Tue Jul 13 11:01:34 EDT 2021 0.12/0.32 % CPUTime : 0.12/0.32 % Number of cores: 8 0.12/0.32 % Python version: Python 3.6.8 0.12/0.32 # Version: 2.6rc1-ho 0.12/0.32 # No SInE strategy applied 0.12/0.32 # Trying AutoSched0 for 59 seconds 0.18/0.36 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.18/0.36 # and selection function SelectComplexExceptUniqMaxHorn. 0.18/0.36 # 0.18/0.36 # Preprocessing time : 0.029 s 0.18/0.36 # Presaturation interreduction done 0.18/0.36 0.18/0.36 # Proof found! 0.18/0.36 # SZS status Theorem 0.18/0.36 # SZS output start CNFRefutation 0.18/0.36 thf(cTHM409_6, conjecture, ~((((((((((((((((((((((((((((((((((((((cQ_1 @ a @ b @ c&cP_1 @ a @ a)&cP_1 @ c @ c)&![X1:$i, X2:$i]:(cP_2 @ (f @ X1) @ X2|~(cP_2 @ X1 @ X2)))&cP_3 @ a @ a)&![X1:$i]:cP_3 @ d @ X1)&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~(cQ_3 @ X1 @ X2 @ X3)|~(cP_3 @ (f @ X1) @ X4)|~(cP_3 @ (f @ X3) @ X6)|cQ_4 @ X4 @ X5 @ X6|~(cP_3 @ (f @ X2) @ X5)))&cP_4 @ a @ a)&cP_4 @ b @ b)&![X1:$i]:cP_4 @ d @ X1)&![X1:$i, X2:$i]:(~(cP_4 @ X1 @ X2)|cP_4 @ (f @ X1) @ X2))&cP_5 @ a @ a)&cP_5 @ c @ c)&![X1:$i, X2:$i]:(cP_5 @ (f @ X1) @ X2|~(cP_5 @ X1 @ X2)))&cP_6 @ a @ a)&cP_6 @ b @ b)&cP_6 @ c @ c)&![X1:$i]:cP_6 @ d @ X1)&![X1:$i, X2:$i]:(~(cP_6 @ X1 @ X2)|cP_6 @ (f @ X1) @ X2))&![X1:$i, X2:$i, X3:$i]:~(cQ_7 @ X1 @ X2 @ X3))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~(cQ_6 @ X1 @ X2 @ X3)|~(cP_6 @ (f @ X1) @ X4)|~(cP_6 @ (f @ X3) @ X6)|cQ_7 @ X4 @ X5 @ X6|~(cP_6 @ (f @ X2) @ X5)))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~(cP_5 @ (f @ X2) @ X5)|~(cP_5 @ (f @ X3) @ X6)|cQ_6 @ X4 @ X5 @ X6|~(cP_5 @ (f @ X1) @ X4)|~(cQ_5 @ X1 @ X2 @ X3)))&![X1:$i]:cP_5 @ d @ X1)&cP_5 @ b @ b)&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~(cQ_4 @ X1 @ X2 @ X3)|cQ_5 @ X4 @ X5 @ X6|~(cP_4 @ (f @ X3) @ X6)|~(cP_4 @ (f @ X2) @ X5)|~(cP_4 @ (f @ X1) @ X4)))&cP_4 @ c @ c)&![X1:$i, X2:$i]:(cP_3 @ (f @ X1) @ X2|~(cP_3 @ X1 @ X2)))&cP_3 @ c @ c)&cP_3 @ b @ b)&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~(cQ_2 @ X1 @ X2 @ X3)|~(cP_2 @ (f @ X3) @ X6)|cQ_3 @ X4 @ X5 @ X6|~(cP_2 @ (f @ X2) @ X5)|~(cP_2 @ (f @ X1) @ X4)))&![X1:$i]:cP_2 @ d @ X1)&cP_2 @ c @ c)&cP_2 @ b @ b)&cP_2 @ a @ a)&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~(cQ_1 @ X1 @ X2 @ X3)|~(cP_1 @ (f @ X1) @ X4)|~(cP_1 @ (f @ X3) @ X6)|cQ_2 @ X4 @ X5 @ X6|~(cP_1 @ (f @ X2) @ X5)))&![X1:$i, X2:$i]:(~(cP_1 @ X1 @ X2)|cP_1 @ (f @ X1) @ X2))&![X1:$i]:cP_1 @ d @ X1)&cP_1 @ b @ b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cTHM409_6)). 0.18/0.36 thf(c_0_1, negated_conjecture, ~(~((((((((((((((((((((((((((((((((((((((cQ_1 @ a @ b @ c&cP_1 @ a @ a)&cP_1 @ c @ c)&![X1:$i, X2:$i]:(cP_2 @ (f @ X1) @ X2|~cP_2 @ X1 @ X2))&cP_3 @ a @ a)&![X1:$i]:cP_3 @ d @ X1)&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~cQ_3 @ X1 @ X2 @ X3|~cP_3 @ (f @ X1) @ X4|~cP_3 @ (f @ X3) @ X6|cQ_4 @ X4 @ X5 @ X6|~cP_3 @ (f @ X2) @ X5))&cP_4 @ a @ a)&cP_4 @ b @ b)&![X1:$i]:cP_4 @ d @ X1)&![X1:$i, X2:$i]:(~cP_4 @ X1 @ X2|cP_4 @ (f @ X1) @ X2))&cP_5 @ a @ a)&cP_5 @ c @ c)&![X1:$i, X2:$i]:(cP_5 @ (f @ X1) @ X2|~cP_5 @ X1 @ X2))&cP_6 @ a @ a)&cP_6 @ b @ b)&cP_6 @ c @ c)&![X1:$i]:cP_6 @ d @ X1)&![X1:$i, X2:$i]:(~cP_6 @ X1 @ X2|cP_6 @ (f @ X1) @ X2))&![X1:$i, X2:$i, X3:$i]:~cQ_7 @ X1 @ X2 @ X3)&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~cQ_6 @ X1 @ X2 @ X3|~cP_6 @ (f @ X1) @ X4|~cP_6 @ (f @ X3) @ X6|cQ_7 @ X4 @ X5 @ X6|~cP_6 @ (f @ X2) @ X5))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~cP_5 @ (f @ X2) @ X5|~cP_5 @ (f @ X3) @ X6|cQ_6 @ X4 @ X5 @ X6|~cP_5 @ (f @ X1) @ X4|~cQ_5 @ X1 @ X2 @ X3))&![X1:$i]:cP_5 @ d @ X1)&cP_5 @ b @ b)&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~cQ_4 @ X1 @ X2 @ X3|cQ_5 @ X4 @ X5 @ X6|~cP_4 @ (f @ X3) @ X6|~cP_4 @ (f @ X2) @ X5|~cP_4 @ (f @ X1) @ X4))&cP_4 @ c @ c)&![X1:$i, X2:$i]:(cP_3 @ (f @ X1) @ X2|~cP_3 @ X1 @ X2))&cP_3 @ c @ c)&cP_3 @ b @ b)&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~cQ_2 @ X1 @ X2 @ X3|~cP_2 @ (f @ X3) @ X6|cQ_3 @ X4 @ X5 @ X6|~cP_2 @ (f @ X2) @ X5|~cP_2 @ (f @ X1) @ X4))&![X1:$i]:cP_2 @ d @ X1)&cP_2 @ c @ c)&cP_2 @ b @ b)&cP_2 @ a @ a)&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~cQ_1 @ X1 @ X2 @ X3|~cP_1 @ (f @ X1) @ X4|~cP_1 @ (f @ X3) @ X6|cQ_2 @ X4 @ X5 @ X6|~cP_1 @ (f @ X2) @ X5))&![X1:$i, X2:$i]:(~cP_1 @ X1 @ X2|cP_1 @ (f @ X1) @ X2))&![X1:$i]:cP_1 @ d @ X1)&cP_1 @ b @ b))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM409_6])])). 0.18/0.36 thf(c_0_2, negated_conjecture, ![X64:$i, X65:$i, X66:$i, X67:$i, X68:$i, X69:$i, X70:$i, X71:$i, X72:$i, X73:$i, X74:$i, X75:$i, X76:$i, X77:$i, X78:$i, X79:$i, X80:$i, X81:$i, X82:$i, X83:$i, X84:$i, X85:$i, X86:$i, X87:$i, X88:$i, X89:$i, X90:$i, X91:$i, X92:$i, X93:$i, X94:$i, X95:$i, X96:$i, X97:$i, X98:$i, X99:$i, X100:$i, X101:$i, X102:$i, X103:$i, X104:$i, X105:$i, X106:$i, X107:$i, X108:$i, X109:$i, X110:$i, X111:$i, X112:$i, X113:$i, X114:$i, X115:$i, X116:$i, X117:$i, X118:$i, X119:$i, X120:$i]:(((((((((((((((((((((((((((((((((((((cQ_1 @ a @ b @ c&cP_1 @ a @ a)&cP_1 @ c @ c)&(cP_2 @ (f @ X64) @ X65|~cP_2 @ X64 @ X65))&cP_3 @ a @ a)&cP_3 @ d @ X66)&(~cQ_3 @ X67 @ X68 @ X69|~cP_3 @ (f @ X67) @ X70|~cP_3 @ (f @ X69) @ X72|cQ_4 @ X70 @ X71 @ X72|~cP_3 @ (f @ X68) @ X71))&cP_4 @ a @ a)&cP_4 @ b @ b)&cP_4 @ d @ X73)&(~cP_4 @ X74 @ X75|cP_4 @ (f @ X74) @ X75))&cP_5 @ a @ a)&cP_5 @ c @ c)&(cP_5 @ (f @ X76) @ X77|~cP_5 @ X76 @ X77))&cP_6 @ a @ a)&cP_6 @ b @ b)&cP_6 @ c @ c)&cP_6 @ d @ X78)&(~cP_6 @ X79 @ X80|cP_6 @ (f @ X79) @ X80))&~cQ_7 @ X81 @ X82 @ X83)&(~cQ_6 @ X84 @ X85 @ X86|~cP_6 @ (f @ X84) @ X87|~cP_6 @ (f @ X86) @ X89|cQ_7 @ X87 @ X88 @ X89|~cP_6 @ (f @ X85) @ X88))&(~cP_5 @ (f @ X91) @ X94|~cP_5 @ (f @ X92) @ X95|cQ_6 @ X93 @ X94 @ X95|~cP_5 @ (f @ X90) @ X93|~cQ_5 @ X90 @ X91 @ X92))&cP_5 @ d @ X96)&cP_5 @ b @ b)&(~cQ_4 @ X97 @ X98 @ X99|cQ_5 @ X100 @ X101 @ X102|~cP_4 @ (f @ X99) @ X102|~cP_4 @ (f @ X98) @ X101|~cP_4 @ (f @ X97) @ X100))&cP_4 @ c @ c)&(cP_3 @ (f @ X103) @ X104|~cP_3 @ X103 @ X104))&cP_3 @ c @ c)&cP_3 @ b @ b)&(~cQ_2 @ X105 @ X106 @ X107|~cP_2 @ (f @ X107) @ X110|cQ_3 @ X108 @ X109 @ X110|~cP_2 @ (f @ X106) @ X109|~cP_2 @ (f @ X105) @ X108))&cP_2 @ d @ X111)&cP_2 @ c @ c)&cP_2 @ b @ b)&cP_2 @ a @ a)&(~cQ_1 @ X112 @ X113 @ X114|~cP_1 @ (f @ X112) @ X115|~cP_1 @ (f @ X114) @ X117|cQ_2 @ X115 @ X116 @ X117|~cP_1 @ (f @ X113) @ X116))&(~cP_1 @ X118 @ X119|cP_1 @ (f @ X118) @ X119))&cP_1 @ d @ X120)&cP_1 @ b @ b), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])). 0.18/0.36 thf(c_0_3, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X5:$i, X4:$i, X6:$i]:(cQ_2 @ X4 @ X6 @ X5|~cQ_1 @ X1 @ X2 @ X3|~cP_1 @ (f @ X1) @ X4|~cP_1 @ (f @ X3) @ X5|~cP_1 @ (f @ X2) @ X6), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_4, negated_conjecture, ![X1:$i, X2:$i]:(cP_1 @ (f @ X1) @ X2|~cP_1 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_5, negated_conjecture, ![X2:$i, X1:$i, X4:$i, X3:$i, X6:$i, X5:$i]:(cQ_3 @ X5 @ X6 @ X4|~cQ_2 @ X1 @ X2 @ X3|~cP_2 @ (f @ X3) @ X4|~cP_2 @ (f @ X2) @ X6|~cP_2 @ (f @ X1) @ X5), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_6, negated_conjecture, ![X1:$i, X2:$i]:(cP_2 @ (f @ X1) @ X2|~cP_2 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_7, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(cQ_2 @ X1 @ X2 @ X3|~cP_1 @ (f @ X4) @ X2|~cP_1 @ (f @ X5) @ X1|~cQ_1 @ X5 @ X4 @ X6|~cP_1 @ X6 @ X3), inference(spm,[status(thm)],[c_0_3, c_0_4])). 0.18/0.36 thf(c_0_8, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(cQ_3 @ X1 @ X2 @ X3|~cP_2 @ (f @ X4) @ X2|~cP_2 @ (f @ X5) @ X1|~cQ_2 @ X5 @ X4 @ X6|~cP_2 @ X6 @ X3), inference(spm,[status(thm)],[c_0_5, c_0_6])). 0.18/0.36 thf(c_0_9, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(cQ_2 @ X1 @ X2 @ X3|~cP_1 @ (f @ X4) @ X1|~cQ_1 @ X4 @ X5 @ X6|~cP_1 @ X6 @ X3|~cP_1 @ X5 @ X2), inference(spm,[status(thm)],[c_0_7, c_0_4])). 0.18/0.36 thf(c_0_10, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(cQ_3 @ X1 @ X2 @ X3|~cP_2 @ (f @ X4) @ X1|~cQ_2 @ X4 @ X5 @ X6|~cP_2 @ X6 @ X3|~cP_2 @ X5 @ X2), inference(spm,[status(thm)],[c_0_8, c_0_6])). 0.18/0.36 thf(c_0_11, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(cQ_2 @ X1 @ X2 @ X3|~cQ_1 @ X4 @ X5 @ X6|~cP_1 @ X6 @ X3|~cP_1 @ X5 @ X2|~cP_1 @ X4 @ X1), inference(spm,[status(thm)],[c_0_9, c_0_4])). 0.18/0.36 thf(c_0_12, negated_conjecture, cQ_1 @ a @ b @ c, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_13, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(cQ_3 @ X1 @ X2 @ X3|~cQ_2 @ X4 @ X5 @ X6|~cP_2 @ X6 @ X3|~cP_2 @ X5 @ X2|~cP_2 @ X4 @ X1), inference(spm,[status(thm)],[c_0_10, c_0_6])). 0.18/0.36 thf(c_0_14, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(cQ_2 @ X1 @ X2 @ X3|~cP_1 @ c @ X3|~cP_1 @ b @ X2|~cP_1 @ a @ X1), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.18/0.36 thf(c_0_15, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X5:$i, X4:$i, X6:$i]:(cQ_4 @ X4 @ X6 @ X5|~cQ_3 @ X1 @ X2 @ X3|~cP_3 @ (f @ X1) @ X4|~cP_3 @ (f @ X3) @ X5|~cP_3 @ (f @ X2) @ X6), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_16, negated_conjecture, ![X1:$i, X2:$i]:(cP_3 @ (f @ X1) @ X2|~cP_3 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_17, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i]:(cQ_3 @ X1 @ X2 @ X3|~cP_1 @ c @ X4|~cP_1 @ b @ X5|~cP_1 @ a @ X6|~cP_2 @ X4 @ X3|~cP_2 @ X5 @ X2|~cP_2 @ X6 @ X1), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.18/0.36 thf(c_0_18, negated_conjecture, cP_1 @ c @ c, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_19, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(cQ_4 @ X1 @ X2 @ X3|~cP_3 @ (f @ X4) @ X2|~cP_3 @ (f @ X5) @ X1|~cQ_3 @ X5 @ X4 @ X6|~cP_3 @ X6 @ X3), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.18/0.36 thf(c_0_20, negated_conjecture, ![X2:$i, X4:$i, X5:$i, X3:$i, X1:$i]:(cQ_3 @ X1 @ X2 @ X3|~cP_1 @ b @ X4|~cP_1 @ a @ X5|~cP_2 @ c @ X3|~cP_2 @ X4 @ X2|~cP_2 @ X5 @ X1), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.18/0.36 thf(c_0_21, negated_conjecture, cP_1 @ b @ b, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_22, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(cQ_4 @ X1 @ X2 @ X3|~cP_3 @ (f @ X4) @ X1|~cQ_3 @ X4 @ X5 @ X6|~cP_3 @ X6 @ X3|~cP_3 @ X5 @ X2), inference(spm,[status(thm)],[c_0_19, c_0_16])). 0.18/0.36 thf(c_0_23, negated_conjecture, ![X2:$i, X4:$i, X3:$i, X1:$i]:(cQ_3 @ X1 @ X2 @ X3|~cP_1 @ a @ X4|~cP_2 @ c @ X3|~cP_2 @ b @ X2|~cP_2 @ X4 @ X1), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.18/0.36 thf(c_0_24, negated_conjecture, cP_1 @ a @ a, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_25, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(cQ_4 @ X1 @ X2 @ X3|~cQ_3 @ X4 @ X5 @ X6|~cP_3 @ X6 @ X3|~cP_3 @ X5 @ X2|~cP_3 @ X4 @ X1), inference(spm,[status(thm)],[c_0_22, c_0_16])). 0.18/0.36 thf(c_0_26, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(cQ_3 @ X1 @ X2 @ X3|~cP_2 @ c @ X3|~cP_2 @ b @ X2|~cP_2 @ a @ X1), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.18/0.36 thf(c_0_27, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X6:$i, X5:$i, X4:$i]:(cQ_5 @ X4 @ X5 @ X6|~cQ_4 @ X1 @ X2 @ X3|~cP_4 @ (f @ X3) @ X6|~cP_4 @ (f @ X2) @ X5|~cP_4 @ (f @ X1) @ X4), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_28, negated_conjecture, ![X1:$i, X2:$i]:(cP_4 @ (f @ X1) @ X2|~cP_4 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_29, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i]:(cQ_4 @ X1 @ X2 @ X3|~cP_2 @ c @ X4|~cP_2 @ b @ X5|~cP_2 @ a @ X6|~cP_3 @ X4 @ X3|~cP_3 @ X5 @ X2|~cP_3 @ X6 @ X1), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.18/0.36 thf(c_0_30, negated_conjecture, cP_2 @ c @ c, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_31, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(cQ_5 @ X1 @ X2 @ X3|~cP_4 @ (f @ X4) @ X2|~cP_4 @ (f @ X5) @ X1|~cQ_4 @ X5 @ X4 @ X6|~cP_4 @ X6 @ X3), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.18/0.36 thf(c_0_32, negated_conjecture, ![X2:$i, X4:$i, X5:$i, X3:$i, X1:$i]:(cQ_4 @ X1 @ X2 @ X3|~cP_2 @ b @ X4|~cP_2 @ a @ X5|~cP_3 @ c @ X3|~cP_3 @ X4 @ X2|~cP_3 @ X5 @ X1), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.18/0.36 thf(c_0_33, negated_conjecture, cP_2 @ b @ b, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_34, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(cQ_5 @ X1 @ X2 @ X3|~cP_4 @ (f @ X4) @ X1|~cQ_4 @ X4 @ X5 @ X6|~cP_4 @ X6 @ X3|~cP_4 @ X5 @ X2), inference(spm,[status(thm)],[c_0_31, c_0_28])). 0.18/0.36 thf(c_0_35, negated_conjecture, ![X2:$i, X4:$i, X3:$i, X1:$i]:(cQ_4 @ X1 @ X2 @ X3|~cP_2 @ a @ X4|~cP_3 @ c @ X3|~cP_3 @ b @ X2|~cP_3 @ X4 @ X1), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.18/0.36 thf(c_0_36, negated_conjecture, cP_2 @ a @ a, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_37, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(cQ_5 @ X1 @ X2 @ X3|~cQ_4 @ X4 @ X5 @ X6|~cP_4 @ X6 @ X3|~cP_4 @ X5 @ X2|~cP_4 @ X4 @ X1), inference(spm,[status(thm)],[c_0_34, c_0_28])). 0.18/0.36 thf(c_0_38, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(cQ_4 @ X1 @ X2 @ X3|~cP_3 @ c @ X3|~cP_3 @ b @ X2|~cP_3 @ a @ X1), inference(spm,[status(thm)],[c_0_35, c_0_36])). 0.18/0.36 thf(c_0_39, negated_conjecture, ![X2:$i, X1:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(cQ_6 @ X5 @ X2 @ X4|~cP_5 @ (f @ X1) @ X2|~cP_5 @ (f @ X3) @ X4|~cP_5 @ (f @ X6) @ X5|~cQ_5 @ X6 @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_40, negated_conjecture, ![X1:$i, X2:$i]:(cP_5 @ (f @ X1) @ X2|~cP_5 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_41, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i]:(cQ_5 @ X1 @ X2 @ X3|~cP_3 @ c @ X4|~cP_3 @ b @ X5|~cP_3 @ a @ X6|~cP_4 @ X4 @ X3|~cP_4 @ X5 @ X2|~cP_4 @ X6 @ X1), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.18/0.36 thf(c_0_42, negated_conjecture, cP_3 @ c @ c, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_43, negated_conjecture, ![X3:$i, X4:$i, X2:$i, X6:$i, X5:$i, X1:$i]:(cQ_6 @ X1 @ X2 @ X3|~cP_5 @ (f @ X4) @ X3|~cP_5 @ (f @ X5) @ X2|~cQ_5 @ X6 @ X5 @ X4|~cP_5 @ X6 @ X1), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.18/0.36 thf(c_0_44, negated_conjecture, ![X2:$i, X4:$i, X5:$i, X3:$i, X1:$i]:(cQ_5 @ X1 @ X2 @ X3|~cP_3 @ b @ X4|~cP_3 @ a @ X5|~cP_4 @ c @ X3|~cP_4 @ X4 @ X2|~cP_4 @ X5 @ X1), inference(spm,[status(thm)],[c_0_41, c_0_42])). 0.18/0.36 thf(c_0_45, negated_conjecture, cP_3 @ b @ b, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_46, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i, X3:$i]:(cQ_6 @ X1 @ X2 @ X3|~cP_5 @ (f @ X4) @ X2|~cQ_5 @ X5 @ X4 @ X6|~cP_5 @ X5 @ X1|~cP_5 @ X6 @ X3), inference(spm,[status(thm)],[c_0_43, c_0_40])). 0.18/0.36 thf(c_0_47, negated_conjecture, ![X2:$i, X4:$i, X3:$i, X1:$i]:(cQ_5 @ X1 @ X2 @ X3|~cP_3 @ a @ X4|~cP_4 @ c @ X3|~cP_4 @ b @ X2|~cP_4 @ X4 @ X1), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.18/0.36 thf(c_0_48, negated_conjecture, cP_3 @ a @ a, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_49, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X5:$i, X4:$i, X6:$i]:(cQ_7 @ X4 @ X6 @ X5|~cQ_6 @ X1 @ X2 @ X3|~cP_6 @ (f @ X1) @ X4|~cP_6 @ (f @ X3) @ X5|~cP_6 @ (f @ X2) @ X6), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_50, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:~cQ_7 @ X1 @ X2 @ X3, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_51, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(cQ_6 @ X1 @ X2 @ X3|~cQ_5 @ X4 @ X5 @ X6|~cP_5 @ X4 @ X1|~cP_5 @ X6 @ X3|~cP_5 @ X5 @ X2), inference(spm,[status(thm)],[c_0_46, c_0_40])). 0.18/0.36 thf(c_0_52, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(cQ_5 @ X1 @ X2 @ X3|~cP_4 @ c @ X3|~cP_4 @ b @ X2|~cP_4 @ a @ X1), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.18/0.36 thf(c_0_53, negated_conjecture, ![X6:$i, X5:$i, X4:$i, X3:$i, X2:$i, X1:$i]:(~cP_6 @ (f @ X1) @ X2|~cP_6 @ (f @ X3) @ X4|~cP_6 @ (f @ X5) @ X6|~cQ_6 @ X5 @ X3 @ X1), inference(sr,[status(thm)],[c_0_49, c_0_50])). 0.18/0.36 thf(c_0_54, negated_conjecture, ![X1:$i, X2:$i]:(cP_6 @ (f @ X1) @ X2|~cP_6 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_55, negated_conjecture, ![X1:$i, X3:$i, X6:$i, X5:$i, X4:$i, X2:$i]:(cQ_6 @ X1 @ X2 @ X3|~cP_4 @ c @ X4|~cP_4 @ b @ X5|~cP_4 @ a @ X6|~cP_5 @ X6 @ X1|~cP_5 @ X4 @ X3|~cP_5 @ X5 @ X2), inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.18/0.36 thf(c_0_56, negated_conjecture, cP_4 @ c @ c, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_57, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X4:$i, X5:$i, X6:$i]:(~cP_6 @ (f @ X1) @ X2|~cP_6 @ (f @ X3) @ X4|~cQ_6 @ X3 @ X1 @ X5|~cP_6 @ X5 @ X6), inference(spm,[status(thm)],[c_0_53, c_0_54])). 0.18/0.36 thf(c_0_58, negated_conjecture, ![X1:$i, X3:$i, X5:$i, X4:$i, X2:$i]:(cQ_6 @ X1 @ X2 @ X3|~cP_4 @ b @ X4|~cP_4 @ a @ X5|~cP_5 @ c @ X3|~cP_5 @ X5 @ X1|~cP_5 @ X4 @ X2), inference(spm,[status(thm)],[c_0_55, c_0_56])). 0.18/0.36 thf(c_0_59, negated_conjecture, cP_4 @ b @ b, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_60, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~cP_6 @ (f @ X1) @ X2|~cQ_6 @ X1 @ X3 @ X4|~cP_6 @ X4 @ X5|~cP_6 @ X3 @ X6), inference(spm,[status(thm)],[c_0_57, c_0_54])). 0.18/0.36 thf(c_0_61, negated_conjecture, ![X2:$i, X4:$i, X3:$i, X1:$i]:(cQ_6 @ X1 @ X2 @ X3|~cP_4 @ a @ X4|~cP_5 @ c @ X3|~cP_5 @ b @ X2|~cP_5 @ X4 @ X1), inference(spm,[status(thm)],[c_0_58, c_0_59])). 0.18/0.36 thf(c_0_62, negated_conjecture, cP_4 @ a @ a, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_63, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X4:$i, X5:$i, X6:$i]:(~cQ_6 @ X1 @ X2 @ X3|~cP_6 @ X3 @ X4|~cP_6 @ X2 @ X5|~cP_6 @ X1 @ X6), inference(spm,[status(thm)],[c_0_60, c_0_54])). 0.18/0.36 thf(c_0_64, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(cQ_6 @ X1 @ X2 @ X3|~cP_5 @ c @ X3|~cP_5 @ b @ X2|~cP_5 @ a @ X1), inference(spm,[status(thm)],[c_0_61, c_0_62])). 0.18/0.36 thf(c_0_65, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:(~cP_5 @ c @ X1|~cP_5 @ b @ X2|~cP_5 @ a @ X3|~cP_6 @ X1 @ X4|~cP_6 @ X2 @ X5|~cP_6 @ X3 @ X6), inference(spm,[status(thm)],[c_0_63, c_0_64])). 0.18/0.36 thf(c_0_66, negated_conjecture, cP_5 @ c @ c, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_67, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i]:(~cP_5 @ b @ X1|~cP_5 @ a @ X2|~cP_6 @ c @ X3|~cP_6 @ X1 @ X4|~cP_6 @ X2 @ X5), inference(spm,[status(thm)],[c_0_65, c_0_66])). 0.18/0.36 thf(c_0_68, negated_conjecture, cP_5 @ b @ b, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_69, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i]:(~cP_5 @ a @ X1|~cP_6 @ c @ X2|~cP_6 @ b @ X3|~cP_6 @ X1 @ X4), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.18/0.36 thf(c_0_70, negated_conjecture, cP_5 @ a @ a, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_71, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:(~cP_6 @ c @ X1|~cP_6 @ b @ X2|~cP_6 @ a @ X3), inference(spm,[status(thm)],[c_0_69, c_0_70])). 0.18/0.36 thf(c_0_72, negated_conjecture, cP_6 @ c @ c, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_73, negated_conjecture, ![X1:$i, X2:$i]:(~cP_6 @ b @ X1|~cP_6 @ a @ X2), inference(spm,[status(thm)],[c_0_71, c_0_72])). 0.18/0.36 thf(c_0_74, negated_conjecture, cP_6 @ b @ b, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_75, negated_conjecture, cP_6 @ a @ a, inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.36 thf(c_0_76, negated_conjecture, ![X1:$i]:~cP_6 @ a @ X1, inference(spm,[status(thm)],[c_0_73, c_0_74])). 0.18/0.36 thf(c_0_77, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_75, c_0_76]), ['proof']). 0.18/0.36 # SZS output end CNFRefutation 0.18/0.36 # Proof object total steps : 78 0.18/0.36 # Proof object clause steps : 75 0.18/0.36 # Proof object formula steps : 3 0.18/0.36 # Proof object conjectures : 78 0.18/0.36 # Proof object clause conjectures : 75 0.18/0.36 # Proof object formula conjectures : 3 0.18/0.36 # Proof object initial clauses used : 32 0.18/0.36 # Proof object initial formulas used : 1 0.18/0.36 # Proof object generating inferences : 41 0.18/0.36 # Proof object simplifying inferences : 2 0.18/0.36 # Training examples: 0 positive, 0 negative 0.18/0.36 # Parsed axioms : 19 0.18/0.36 # Removed by relevancy pruning/SinE : 0 0.18/0.36 # Initial clauses : 56 0.18/0.36 # Removed in clause preprocessing : 18 0.18/0.36 # Initial clauses in saturation : 38 0.18/0.36 # Processed clauses : 117 0.18/0.36 # ...of these trivial : 0 0.18/0.36 # ...subsumed : 0 0.18/0.36 # ...remaining for further processing : 117 0.18/0.36 # Other redundant clauses eliminated : 0 0.18/0.36 # Clauses deleted for lack of memory : 0 0.18/0.36 # Backward-subsumed : 1 0.18/0.36 # Backward-rewritten : 0 0.18/0.36 # Generated clauses : 42 0.18/0.36 # ...of the previous two non-trivial : 41 0.18/0.36 # Contextual simplify-reflections : 0 0.18/0.36 # Paramodulations : 41 0.18/0.36 # Factorizations : 0 0.18/0.36 # NegExts : 0 0.18/0.36 # Equation resolutions : 0 0.18/0.36 # Propositional unsat checks : 0 0.18/0.36 # Propositional check models : 0 0.18/0.36 # Propositional check unsatisfiable : 0 0.18/0.36 # Propositional clauses : 0 0.18/0.36 # Propositional clauses after purity: 0 0.18/0.36 # Propositional unsat core size : 0 0.18/0.36 # Propositional preprocessing time : 0.000 0.18/0.36 # Propositional encoding time : 0.000 0.18/0.36 # Propositional solver time : 0.000 0.18/0.36 # Success case prop preproc time : 0.000 0.18/0.36 # Success case prop encoding time : 0.000 0.18/0.36 # Success case prop solver time : 0.000 0.18/0.36 # Current number of processed clauses : 77 0.18/0.36 # Positive orientable unit clauses : 24 0.18/0.36 # Positive unorientable unit clauses: 0 0.18/0.36 # Negative unit clauses : 2 0.18/0.36 # Non-unit-clauses : 51 0.18/0.36 # Current number of unprocessed clauses: 0 0.18/0.36 # ...number of literals in the above : 0 0.18/0.36 # Current number of archived formulas : 0 0.18/0.36 # Current number of archived clauses : 40 0.18/0.36 # Clause-clause subsumption calls (NU) : 225 0.18/0.36 # Rec. Clause-clause subsumption calls : 91 0.18/0.36 # Non-unit clause-clause subsumptions : 1 0.18/0.36 # Unit Clause-clause subsumption calls : 9 0.18/0.36 # Rewrite failures with RHS unbound : 0 0.18/0.36 # BW rewrite match attempts : 0 0.18/0.36 # BW rewrite match successes : 0 0.18/0.36 # Condensation attempts : 0 0.18/0.36 # Condensation successes : 0 0.18/0.36 # Termbank termtop insertions : 5275 0.18/0.36 0.18/0.36 # ------------------------------------------------- 0.18/0.36 # User time : 0.035 s 0.18/0.36 # System time : 0.005 s 0.18/0.36 # Total time : 0.040 s 0.18/0.36 # Maximum resident set size: 1672 pages 0.18/0.36 EOF