0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.15 % 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 0.14/0.36 % Computer : n015.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Jul 13 12:33:49 EDT 2021 0.14/0.37 % CPUTime : 0.14/0.37 % Number of cores: 8 0.14/0.37 % Python version: Python 3.6.8 0.14/0.37 # Version: 2.6rc1-ho 0.14/0.38 # No SInE strategy applied 0.14/0.38 # Trying AutoSched0 for 59 seconds 59.20/59.40 # AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 59.20/59.40 # and selection function SelectMaxLComplexAvoidPosPred. 59.20/59.40 # 59.20/59.40 # Preprocessing time : 0.069 s 59.25/59.50 # No success with AutoSched0 59.25/59.50 # Trying AutoSched1 for 26 seconds 59.43/59.66 # AutoSched1-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S4SI 59.43/59.66 # and selection function SelectNewComplexAHPNS. 59.43/59.66 # 59.43/59.66 # Preprocessing time : 0.065 s 59.43/59.66 59.43/59.66 # Proof found! 59.43/59.66 # SZS status Theorem 59.43/59.66 # SZS output start CNFRefutation 59.43/59.66 thf(def_d_not, axiom, (d_not)=(^[X36:$o]:(X36=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_not)). 59.43/59.66 thf(def_imp, axiom, (imp)=(^[X34:$o, X35:$o]:(X34=>X35)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_imp)). 59.43/59.66 thf(def_l_ec, axiom, (l_ec)=(^[X38:$o, X39:$o]:(X38=>(X39=>~$true))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_ec)). 59.43/59.66 thf(def_all_of, axiom, (all_of)=(^[X3:$i > $o, X2:$i > $o]:![X4:$i]:(X3 @ X4=>X2 @ X4)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_all_of)). 59.43/59.66 thf(def_is_of, axiom, (is_of)=(^[X1:$i, X2:$i > $o]:X2 @ X1), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)). 59.43/59.66 thf(def_non, axiom, (non)=(^[X1:$i, X2:$i > $o, X4:$i]:(X2 @ X4=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_non)). 59.43/59.66 thf(def_d_and, axiom, (d_and)=(^[X40:$o, X41:$o]:((X40=>(X41=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_and)). 59.43/59.66 thf(def_l_some, axiom, (l_some)=(^[X1:$i, X2:$i > $o]:(![X400:$i]:(in @ X400 @ X1=>(X2 @ X400=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_some)). 59.43/59.66 thf(def_n_is, axiom, (n_is)=(^[X476:$i, X477:$i]:(X476)=(X477)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_is)). 59.43/59.66 thf(def_e_is, axiom, (e_is)=(^[X1:$i, X60:$i, X61:$i]:(X60)=(X61)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)). 59.43/59.66 thf(def_l_or, axiom, (l_or)=(^[X42:$o, X395:$o]:((X42=>~$true)=>X395)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_or)). 59.43/59.66 thf(def_and3, axiom, (and3)=(^[X51:$o, X52:$o, X53:$o]:((X51=>(((X52=>(X53=>~$true))=>~$true)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_and3)). 59.43/59.66 thf(def_n_some, axiom, (n_some)=(^[X478:$i > $o]:(![X479:$i]:(in @ X479 @ nat=>(X478 @ X479=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_some)). 59.43/59.66 thf(def_diffprop, axiom, (diffprop)=(^[X1:$i, X183:$i, X4:$i]:(X1)=(n_pl @ X183 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_diffprop)). 59.43/59.66 thf(def_or3, axiom, (or3)=(^[X48:$o, X49:$o, X50:$o]:((X48=>~$true)=>((X49=>~$true)=>X50))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_or3)). 59.43/59.66 thf(def_ec3, axiom, (ec3)=(^[X54:$o, X55:$o, X56:$o]:(((X54=>(X55=>~$true))=>((((X55=>(X56=>~$true))=>((X56=>(X54=>~$true))=>~$true))=>~$true)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_ec3)). 59.43/59.66 thf(def_iii, axiom, (iii)=(^[X1:$i, X185:$i]:(![X503:$i]:(in @ X503 @ nat=>((X185)=(n_pl @ X1 @ X503)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_iii)). 59.43/59.66 thf(def_orec3, axiom, (orec3)=(^[X57:$o, X58:$o, X59:$o]:((((X57=>~$true)=>((X58=>~$true)=>X59))=>((((X57=>(X58=>~$true))=>((((X58=>(X59=>~$true))=>((X59=>(X57=>~$true))=>~$true))=>~$true)=>~$true))=>~$true)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_orec3)). 59.43/59.66 thf(def_d_29_ii, axiom, (d_29_ii)=(^[X1:$i, X184:$i]:(![X500:$i]:(in @ X500 @ nat=>((X1)=(n_pl @ X184 @ X500)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_d_29_ii)). 59.43/59.66 thf(def_lessis, axiom, (lessis)=(^[X1:$i, X188:$i]:(((![X508:$i]:(in @ X508 @ nat=>((X188)=(n_pl @ X1 @ X508)=>~$true))=>~$true)=>~$true)=>(X1)=(X188))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_lessis)). 59.43/59.66 thf(satz10, axiom, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:all_of @ (^[X220:$i]:in @ X220 @ nat) @ (^[X221:$i]:orec3 @ (n_is @ X1 @ X221) @ (d_29_ii @ X1 @ X221) @ (iii @ X1 @ X221))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz10)). 59.43/59.66 thf(satz10k, conjecture, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:all_of @ (^[X245:$i]:in @ X245 @ nat) @ (^[X246:$i]:(d_29_ii @ X1 @ X246<=d_not @ (lessis @ X1 @ X246)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz10k)). 59.43/59.66 thf(c_0_22, axiom, (d_not)=(^[X36:$o]:(X36=>~$true)), inference(apply_def,[status(thm)],[def_d_not, def_imp])). 59.43/59.66 thf(c_0_23, axiom, (l_ec)=(^[X38:$o, X39:$o]:(X38=>(X39=>~$true))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_l_ec, def_imp]), c_0_22])). 59.43/59.66 thf(c_0_24, axiom, (all_of)=(^[X3:$i > $o, X2:$i > $o]:![X4:$i]:(X3 @ X4=>X2 @ X4)), inference(apply_def,[status(thm)],[def_all_of, def_is_of])). 59.43/59.66 thf(c_0_25, axiom, (non)=(^[X1:$i, X2:$i > $o, X4:$i]:(X2 @ X4=>~$true)), inference(apply_def,[status(thm)],[def_non, c_0_22])). 59.43/59.66 thf(c_0_26, axiom, (d_and)=(^[X40:$o, X41:$o]:((X40=>(X41=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_d_and, c_0_22]), c_0_23])). 59.43/59.66 thf(c_0_27, axiom, (l_some)=(^[X1:$i, X2:$i > $o]:(![X400:$i]:(in @ X400 @ X1=>(X2 @ X400=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_l_some, c_0_24]), c_0_22]), c_0_25])). 59.43/59.66 thf(c_0_28, axiom, (n_is)=(^[X476:$i, X477:$i]:(X476)=(X477)), inference(apply_def,[status(thm)],[def_n_is, def_e_is])). 59.43/59.66 thf(c_0_29, axiom, (l_or)=(^[X42:$o, X395:$o]:((X42=>~$true)=>X395)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_l_or, def_imp]), c_0_22])). 59.43/59.66 thf(c_0_30, axiom, (and3)=(^[X51:$o, X52:$o, X53:$o]:((X51=>(((X52=>(X53=>~$true))=>~$true)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[def_and3, c_0_26])). 59.43/59.66 thf(c_0_31, axiom, (n_some)=(^[X478:$i > $o]:(![X479:$i]:(in @ X479 @ nat=>(X478 @ X479=>~$true))=>~$true)), inference(apply_def,[status(thm)],[def_n_some, c_0_27])). 59.43/59.66 thf(c_0_32, axiom, (diffprop)=(^[X1:$i, X183:$i, X4:$i]:(X1)=(n_pl @ X183 @ X4)), inference(apply_def,[status(thm)],[def_diffprop, c_0_28])). 59.43/59.66 thf(c_0_33, axiom, (or3)=(^[X48:$o, X49:$o, X50:$o]:((X48=>~$true)=>((X49=>~$true)=>X50))), inference(apply_def,[status(thm)],[def_or3, c_0_29])). 59.43/59.66 thf(c_0_34, axiom, (ec3)=(^[X54:$o, X55:$o, X56:$o]:(((X54=>(X55=>~$true))=>((((X55=>(X56=>~$true))=>((X56=>(X54=>~$true))=>~$true))=>~$true)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_ec3, c_0_23]), c_0_30])). 59.43/59.66 thf(c_0_35, axiom, (iii)=(^[X1:$i, X185:$i]:(![X503:$i]:(in @ X503 @ nat=>((X185)=(n_pl @ X1 @ X503)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_iii, c_0_31]), c_0_32])). 59.43/59.66 thf(c_0_36, axiom, (orec3)=(^[X57:$o, X58:$o, X59:$o]:((((X57=>~$true)=>((X58=>~$true)=>X59))=>((((X57=>(X58=>~$true))=>((((X58=>(X59=>~$true))=>((X59=>(X57=>~$true))=>~$true))=>~$true)=>~$true))=>~$true)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_orec3, c_0_26]), c_0_33]), c_0_34])). 59.43/59.66 thf(c_0_37, axiom, (d_29_ii)=(^[X1:$i, X184:$i]:(![X500:$i]:(in @ X500 @ nat=>((X1)=(n_pl @ X184 @ X500)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_d_29_ii, c_0_31]), c_0_32])). 59.43/59.66 thf(c_0_38, plain, ![X974:$i, X984:$i]:(epred20_2 @ X984 @ X974<=>~((((X974)!=(X984)=>(![X985:$i]:(in @ X985 @ nat=>(X974)!=(n_pl @ X984 @ X985))=>~(![X986:$i]:(in @ X986 @ nat=>(X984)!=(n_pl @ X974 @ X986)))))=>(((X974)=(X984)=>![X987:$i]:(in @ X987 @ nat=>(X974)!=(n_pl @ X984 @ X987)))=>((~(![X988:$i]:(in @ X988 @ nat=>(X974)!=(n_pl @ X984 @ X988)))=>![X989:$i]:(in @ X989 @ nat=>(X984)!=(n_pl @ X974 @ X989)))=>~((~(![X990:$i]:(in @ X990 @ nat=>(X984)!=(n_pl @ X974 @ X990)))=>(X974)!=(X984)))))))), introduced(definition)). 59.43/59.66 thf(c_0_39, axiom, (lessis)=(^[X1:$i, X188:$i]:(((![X508:$i]:(in @ X508 @ nat=>((X188)=(n_pl @ X1 @ X508)=>~$true))=>~$true)=>~$true)=>(X1)=(X188))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_lessis, c_0_29]), c_0_28]), c_0_35])). 59.43/59.66 thf(c_0_40, plain, ![X974:$i]:(in @ X974 @ nat=>![X984:$i]:(in @ X984 @ nat=>epred20_2 @ X984 @ X974)), inference(apply_def,[status(thm)],[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)],[satz10, c_0_24]), c_0_36]), c_0_28]), c_0_37]), c_0_35])]), c_0_38])). 59.43/59.66 thf(c_0_41, negated_conjecture, ~(![X1195:$i]:(in @ X1195 @ nat=>![X1201:$i]:(in @ X1201 @ nat=>(~((![X1203:$i]:(in @ X1203 @ nat=>(X1201)!=(n_pl @ X1195 @ X1203))=>(X1195)=(X1201)))=>~(![X1202:$i]:(in @ X1202 @ nat=>(X1195)!=(n_pl @ X1201 @ X1202))))))), 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(assume_negation,[status(cth)],[satz10k]), c_0_24]), c_0_22]), c_0_37]), c_0_39])])). 59.43/59.66 thf(c_0_42, plain, ![X1674:$i, X1675:$i]:(~in @ X1674 @ nat|(~in @ X1675 @ nat|epred20_2 @ X1675 @ X1674)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])). 59.43/59.66 thf(c_0_43, negated_conjecture, ![X1716:$i, X1717:$i]:(in @ esk58_0 @ nat&(in @ esk59_0 @ nat&(((~in @ X1716 @ nat|(esk59_0)!=(n_pl @ esk58_0 @ X1716))&(esk58_0)!=(esk59_0))&(~in @ X1717 @ nat|(esk58_0)!=(n_pl @ esk59_0 @ X1717))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])). 59.43/59.66 thf(c_0_44, plain, ![X974:$i, X984:$i]:(epred20_2 @ X984 @ X974=>~((((X974)!=(X984)=>(![X985:$i]:(in @ X985 @ nat=>(X974)!=(n_pl @ X984 @ X985))=>~(![X986:$i]:(in @ X986 @ nat=>(X984)!=(n_pl @ X974 @ X986)))))=>(((X974)=(X984)=>![X987:$i]:(in @ X987 @ nat=>(X974)!=(n_pl @ X984 @ X987)))=>((~(![X988:$i]:(in @ X988 @ nat=>(X974)!=(n_pl @ X984 @ X988)))=>![X989:$i]:(in @ X989 @ nat=>(X984)!=(n_pl @ X974 @ X989)))=>~((~(![X990:$i]:(in @ X990 @ nat=>(X984)!=(n_pl @ X974 @ X990)))=>(X974)!=(X984)))))))), inference(split_equiv,[status(thm)],[c_0_38])). 59.43/59.66 thf(c_0_45, plain, ![X1:$i, X4:$i]:(epred20_2 @ X4 @ X1|~in @ X1 @ nat|~in @ X4 @ nat), inference(split_conjunct,[status(thm)],[c_0_42])). 59.43/59.66 thf(c_0_46, negated_conjecture, in @ esk59_0 @ nat, inference(split_conjunct,[status(thm)],[c_0_43])). 59.43/59.66 thf(c_0_47, plain, ![X1864:$i, X1865:$i, X1868:$i, X1869:$i, X1870:$i, X1871:$i]:((((in @ (esk74_2 @ X1864 @ X1865) @ nat|in @ (esk73_2 @ X1864 @ X1865) @ nat|(X1864)=(X1865)|~epred20_2 @ X1865 @ X1864)&((X1865)=(n_pl @ X1864 @ (esk74_2 @ X1864 @ X1865))|in @ (esk73_2 @ X1864 @ X1865) @ nat|(X1864)=(X1865)|~epred20_2 @ X1865 @ X1864))&((in @ (esk74_2 @ X1864 @ X1865) @ nat|(X1864)=(n_pl @ X1865 @ (esk73_2 @ X1864 @ X1865))|(X1864)=(X1865)|~epred20_2 @ X1865 @ X1864)&((X1865)=(n_pl @ X1864 @ (esk74_2 @ X1864 @ X1865))|(X1864)=(n_pl @ X1865 @ (esk73_2 @ X1864 @ X1865))|(X1864)=(X1865)|~epred20_2 @ X1865 @ X1864)))&(((X1864)!=(X1865)|(~in @ X1868 @ nat|(X1864)!=(n_pl @ X1865 @ X1868))|~epred20_2 @ X1865 @ X1864)&((~in @ X1869 @ nat|(X1864)!=(n_pl @ X1865 @ X1869)|(~in @ X1870 @ nat|(X1865)!=(n_pl @ X1864 @ X1870))|~epred20_2 @ X1865 @ X1864)&(~in @ X1871 @ nat|(X1865)!=(n_pl @ X1864 @ X1871)|(X1864)!=(X1865)|~epred20_2 @ X1865 @ X1864)))), 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_44])])])])])). 59.43/59.66 thf(c_0_48, negated_conjecture, ![X1:$i]:(epred20_2 @ esk59_0 @ X1|~in @ X1 @ nat), inference(spm,[status(thm)],[c_0_45, c_0_46])). 59.43/59.66 thf(c_0_49, negated_conjecture, in @ esk58_0 @ nat, inference(split_conjunct,[status(thm)],[c_0_43])). 59.43/59.66 thf(c_0_50, plain, ![X1:$i, X4:$i]:((X1)=(n_pl @ X4 @ (esk74_2 @ X4 @ X1))|(X4)=(n_pl @ X1 @ (esk73_2 @ X4 @ X1))|(X4)=(X1)|~epred20_2 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_47])). 59.43/59.66 thf(c_0_51, negated_conjecture, epred20_2 @ esk59_0 @ esk58_0, inference(spm,[status(thm)],[c_0_48, c_0_49])). 59.43/59.66 thf(c_0_52, negated_conjecture, (esk58_0)!=(esk59_0), inference(split_conjunct,[status(thm)],[c_0_43])). 59.43/59.66 thf(c_0_53, negated_conjecture, ![X1:$i]:(~in @ X1 @ nat|(esk58_0)!=(n_pl @ esk59_0 @ X1)), inference(split_conjunct,[status(thm)],[c_0_43])). 59.43/59.66 thf(c_0_54, plain, ((n_pl @ esk59_0 @ (esk73_2 @ esk58_0 @ esk59_0))=(esk58_0)|(n_pl @ esk58_0 @ (esk74_2 @ esk58_0 @ esk59_0))=(esk59_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52])). 59.43/59.66 thf(c_0_55, plain, ![X1:$i, X4:$i]:((X1)=(n_pl @ X4 @ (esk74_2 @ X4 @ X1))|in @ (esk73_2 @ X4 @ X1) @ nat|(X4)=(X1)|~epred20_2 @ X1 @ X4), inference(split_conjunct,[status(thm)],[c_0_47])). 59.43/59.66 thf(c_0_56, negated_conjecture, ((n_pl @ esk58_0 @ (esk74_2 @ esk58_0 @ esk59_0))=(esk59_0)|~in @ (esk73_2 @ esk58_0 @ esk59_0) @ nat), inference(spm,[status(thm)],[c_0_53, c_0_54])). 59.43/59.66 thf(c_0_57, plain, ![X4:$i, X1:$i]:(in @ (esk74_2 @ X1 @ X4) @ nat|(X1)=(n_pl @ X4 @ (esk73_2 @ X1 @ X4))|(X1)=(X4)|~epred20_2 @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_47])). 59.43/59.66 thf(c_0_58, negated_conjecture, ![X1:$i]:(~in @ X1 @ nat|(esk59_0)!=(n_pl @ esk58_0 @ X1)), inference(split_conjunct,[status(thm)],[c_0_43])). 59.43/59.66 thf(c_0_59, plain, (n_pl @ esk58_0 @ (esk74_2 @ esk58_0 @ esk59_0))=(esk59_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_51]), c_0_52]), c_0_56])). 59.43/59.66 thf(c_0_60, plain, ((n_pl @ esk59_0 @ (esk73_2 @ esk58_0 @ esk59_0))=(esk58_0)|in @ (esk74_2 @ esk58_0 @ esk59_0) @ nat), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_51]), c_0_52])). 59.43/59.66 thf(c_0_61, negated_conjecture, ~in @ (esk74_2 @ esk58_0 @ esk59_0) @ nat, inference(spm,[status(thm)],[c_0_58, c_0_59])). 59.43/59.66 thf(c_0_62, plain, (n_pl @ esk59_0 @ (esk73_2 @ esk58_0 @ esk59_0))=(esk58_0), inference(sr,[status(thm)],[c_0_60, c_0_61])). 59.43/59.66 thf(c_0_63, plain, ![X4:$i, X1:$i]:(in @ (esk74_2 @ X1 @ X4) @ nat|in @ (esk73_2 @ X1 @ X4) @ nat|(X1)=(X4)|~epred20_2 @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_47])). 59.43/59.66 thf(c_0_64, negated_conjecture, ~in @ (esk73_2 @ esk58_0 @ esk59_0) @ nat, inference(spm,[status(thm)],[c_0_53, c_0_62])). 59.43/59.66 thf(c_0_65, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_51]), c_0_52]), c_0_61]), c_0_64]), ['proof']). 59.43/59.66 # SZS output end CNFRefutation 59.43/59.66 # Proof object total steps : 66 59.43/59.66 # Proof object clause steps : 20 59.43/59.66 # Proof object formula steps : 46 59.43/59.66 # Proof object conjectures : 13 59.43/59.66 # Proof object clause conjectures : 10 59.43/59.66 # Proof object formula conjectures : 3 59.43/59.66 # Proof object initial clauses used : 10 59.43/59.66 # Proof object initial formulas used : 22 59.43/59.66 # Proof object generating inferences : 9 59.43/59.66 # Proof object simplifying inferences : 8 59.43/59.66 # Training examples: 0 positive, 0 negative 59.43/59.66 # Parsed axioms : 358 59.43/59.66 # Removed by relevancy pruning/SinE : 0 59.43/59.66 # Initial clauses : 506 59.43/59.66 # Removed in clause preprocessing : 153 59.43/59.66 # Initial clauses in saturation : 353 59.43/59.66 # Processed clauses : 509 59.43/59.66 # ...of these trivial : 10 59.43/59.66 # ...subsumed : 24 59.43/59.66 # ...remaining for further processing : 474 59.43/59.66 # Other redundant clauses eliminated : 238 59.43/59.66 # Clauses deleted for lack of memory : 0 59.43/59.66 # Backward-subsumed : 0 59.43/59.66 # Backward-rewritten : 6 59.43/59.66 # Generated clauses : 4933 59.43/59.66 # ...of the previous two non-trivial : 4642 59.43/59.66 # Contextual simplify-reflections : 1 59.43/59.66 # Paramodulations : 4475 59.43/59.66 # Factorizations : 0 59.43/59.66 # NegExts : 0 59.43/59.66 # Equation resolutions : 240 59.43/59.66 # Propositional unsat checks : 0 59.43/59.66 # Propositional check models : 0 59.43/59.66 # Propositional check unsatisfiable : 0 59.43/59.66 # Propositional clauses : 0 59.43/59.66 # Propositional clauses after purity: 0 59.43/59.66 # Propositional unsat core size : 0 59.43/59.66 # Propositional preprocessing time : 0.000 59.43/59.66 # Propositional encoding time : 0.000 59.43/59.66 # Propositional solver time : 0.000 59.43/59.66 # Success case prop preproc time : 0.000 59.43/59.66 # Success case prop encoding time : 0.000 59.43/59.66 # Success case prop solver time : 0.000 59.43/59.66 # Current number of processed clauses : 421 59.43/59.66 # Positive orientable unit clauses : 148 59.43/59.66 # Positive unorientable unit clauses: 3 59.43/59.66 # Negative unit clauses : 38 59.43/59.66 # Non-unit-clauses : 232 59.43/59.66 # Current number of unprocessed clauses: 4486 59.43/59.66 # ...number of literals in the above : 14473 59.43/59.66 # Current number of archived formulas : 0 59.43/59.66 # Current number of archived clauses : 7 59.43/59.66 # Clause-clause subsumption calls (NU) : 17400 59.43/59.66 # Rec. Clause-clause subsumption calls : 3554 59.43/59.66 # Non-unit clause-clause subsumptions : 21 59.43/59.66 # Unit Clause-clause subsumption calls : 7233 59.43/59.66 # Rewrite failures with RHS unbound : 2 59.43/59.66 # BW rewrite match attempts : 21 59.43/59.66 # BW rewrite match successes : 3 59.43/59.66 # Condensation attempts : 0 59.43/59.66 # Condensation successes : 0 59.43/59.66 # Termbank termtop insertions : 133385 59.43/59.66 59.43/59.66 # ------------------------------------------------- 59.43/59.66 # User time : 58.143 s 59.43/59.66 # System time : 1.124 s 59.43/59.66 # Total time : 59.267 s 59.43/59.66 # Maximum resident set size: 2188 pages 59.43/59.66 EOF