0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.17 % 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 0.16/0.37 % Computer : n031.cluster.edu 0.16/0.37 % Model : x86_64 x86_64 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.37 % Memory : 8042.1875MB 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1200 0.16/0.38 % WCLimit : 120 0.16/0.38 % DateTime : Tue Jul 13 14:50:14 EDT 2021 0.16/0.38 % CPUTime : 0.16/0.38 % Number of cores: 8 0.16/0.38 % Python version: Python 3.6.8 0.16/0.38 # Version: 2.6rc1-ho 0.16/0.41 # No SInE strategy applied 0.16/0.41 # Trying AutoSched0 for 59 seconds 20.26/20.50 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI 20.26/20.50 # and selection function SelectComplexExceptUniqMaxHorn. 20.26/20.50 # 20.26/20.50 # Preprocessing time : 0.157 s 20.26/20.50 # Presaturation interreduction done 20.26/20.50 20.26/20.50 # Proof found! 20.26/20.50 # SZS status Theorem 20.26/20.50 # SZS output start CNFRefutation 20.26/20.50 thf(conj_7, conjecture, hoare_123228589_state @ (image_575578384_state @ (^[X337:pname]:hoare_Mirabelle_MGT @ (body_1 @ X337)) @ (dom_pname_com @ body)) @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_7)). 20.26/20.50 thf(fact_0_empty, axiom, ![X335:hoare_1167836817_state > $o]:hoare_123228589_state @ X335 @ bot_bo70021908tate_o, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_empty)). 20.26/20.50 thf(fact_77_empty__Collect__eq, axiom, ![X346:hoare_1167836817_state > $o]:(![X7:hoare_1167836817_state]:~(X346 @ X7)<=>(bot_bo70021908tate_o)=(collec1027672124_state @ X346)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_77_empty__Collect__eq)). 20.26/20.50 thf(fact_53_MGF, axiom, ![X26:com]:(((wt @ X26=>hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X26) @ bot_bo70021908tate_o))<=wT_bodies)<=hoare_1201148605gleton), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_53_MGF)). 20.26/20.50 thf(fact_215_WT__bodiesD, axiom, ![X24:pname, X25:com]:((wt @ X25<=(body @ X24)=(some_com @ X25))<=wT_bodies), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_215_WT__bodiesD)). 20.26/20.50 thf(fact_177_Collect__def, axiom, ![X1204:hoare_1167836817_state > $o]:(collec1027672124_state @ X1204)=(X1204), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_177_Collect__def)). 20.26/20.50 thf(fact_148_singleton__iff, axiom, ![X88:hoare_1167836817_state, X89:hoare_1167836817_state]:(member2058392318_state @ X88 @ (insert2134838167_state @ X89 @ bot_bo70021908tate_o)<=>(X88)=(X89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_148_singleton__iff)). 20.26/20.50 thf(fact_176_mem__def, axiom, ![X1272:hoare_1167836817_state, X1273:hoare_1167836817_state > $o]:(X1273 @ X1272<=>member2058392318_state @ X1272 @ X1273), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_176_mem__def)). 20.26/20.50 thf(fact_4_cut, axiom, ![X84:hoare_1167836817_state > $o, X85:hoare_1167836817_state > $o, X86:hoare_1167836817_state > $o]:(hoare_123228589_state @ X85 @ X86=>(hoare_123228589_state @ X84 @ X86<=hoare_123228589_state @ X84 @ X85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_4_cut)). 20.26/20.50 thf(conj_1, hypothesis, wT_bodies, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 20.26/20.50 thf(conj_0, hypothesis, hoare_1201148605gleton, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 20.26/20.50 thf(conj_6, hypothesis, hoare_123228589_state @ (image_575578384_state @ (^[X337:pname]:hoare_Mirabelle_MGT @ (body_1 @ X337)) @ (dom_pname_com @ body)) @ fa, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_6)). 20.26/20.50 thf(conj_5, hypothesis, (body @ pn)=(some_com @ y), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_5)). 20.26/20.50 thf(fact_87_insert__absorb, axiom, ![X1189:hoare_1167836817_state, X1190:hoare_1167836817_state > $o]:((insert2134838167_state @ X1189 @ X1190)=(X1190)<=member2058392318_state @ X1189 @ X1190), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_87_insert__absorb)). 20.26/20.50 thf(fact_70_Collect__empty__eq, axiom, ![X1600:(hoare_1167836817_state > $o) > $o]:((collec269976083tate_o @ X1600)=(bot_bo691907561te_o_o)<=>![X1601:hoare_1167836817_state > $o]:~(X1600 @ X1601)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_70_Collect__empty__eq)). 20.26/20.50 thf(fact_180_Collect__def, axiom, ![X441:(hoare_1167836817_state > $o) > $o]:(collec269976083tate_o @ X441)=(X441), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_180_Collect__def)). 20.26/20.50 thf(fact_76_empty__Collect__eq, axiom, ![X1477:(hoare_1167836817_state > $o) > $o]:((bot_bo691907561te_o_o)=(collec269976083tate_o @ X1477)<=>![X1478:hoare_1167836817_state > $o]:~(X1477 @ X1478)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_76_empty__Collect__eq)). 20.26/20.50 thf(fact_2_weaken, axiom, ![X1541:hoare_1167836817_state > $o, X1542:hoare_1167836817_state > $o, X1543:hoare_1167836817_state > $o]:((ord_le827224136tate_o @ X1541 @ X1543=>hoare_123228589_state @ X1542 @ X1541)<=hoare_123228589_state @ X1542 @ X1543), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_2_weaken)). 20.26/20.50 thf(fact_267_nonempty__iff, axiom, ![X1785:hoare_1167836817_state > $o]:((X1785)!=(bot_bo70021908tate_o)<=>?[X7:hoare_1167836817_state, X304:hoare_1167836817_state > $o]:((X1785)=(insert2134838167_state @ X7 @ X304)&~(member2058392318_state @ X7 @ X304))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_267_nonempty__iff)). 20.26/20.50 thf(fact_188_subset__insertI, axiom, ![X521:hoare_1167836817_state > $o, X522:hoare_1167836817_state]:ord_le827224136tate_o @ X521 @ (insert2134838167_state @ X522 @ X521), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_188_subset__insertI)). 20.26/20.50 thf(fact_152_empty__not__insert, axiom, ![X867:hoare_1167836817_state, X868:hoare_1167836817_state > $o]:(bot_bo70021908tate_o)!=(insert2134838167_state @ X867 @ X868), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_152_empty__not__insert)). 20.26/20.50 thf(fact_3_thin, axiom, ![X1257:hoare_1167836817_state > $o, X1258:hoare_1167836817_state > $o, X1259:hoare_1167836817_state > $o]:(hoare_123228589_state @ X1258 @ X1259=>(hoare_123228589_state @ X1257 @ X1259<=ord_le827224136tate_o @ X1258 @ X1257)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3_thin)). 20.26/20.50 thf(fact_22_empty__subsetI, axiom, ![X476:hoare_1167836817_state > $o]:ord_le827224136tate_o @ bot_bo70021908tate_o @ X476, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_22_empty__subsetI)). 20.26/20.50 thf(c_0_23, plain, ![X337:pname]:(esk4_1 @ X337)=(hoare_Mirabelle_MGT @ (body_1 @ X337)), introduced(definition)). 20.26/20.50 thf(c_0_24, negated_conjecture, ~hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7]), c_0_23])])). 20.26/20.50 thf(c_0_25, plain, ![X5088:hoare_1167836817_state > $o]:hoare_123228589_state @ X5088 @ bot_bo70021908tate_o, inference(variable_rename,[status(thm)],[fact_0_empty])). 20.26/20.50 thf(c_0_26, plain, ![X346:hoare_1167836817_state > $o]:(![X7:hoare_1167836817_state]:~X346 @ X7<=>(bot_bo70021908tate_o)=(collec1027672124_state @ X346)), inference(fof_simplification,[status(thm)],[fact_77_empty__Collect__eq])). 20.26/20.50 thf(c_0_27, plain, ![X26:com]:(hoare_1201148605gleton=>(wT_bodies=>(wt @ X26=>hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X26) @ bot_bo70021908tate_o)))), inference(fof_simplification,[status(thm)],[fact_53_MGF])). 20.26/20.50 thf(c_0_28, plain, ![X24:pname, X25:com]:(wT_bodies=>((body @ X24)=(some_com @ X25)=>wt @ X25)), inference(fof_simplification,[status(thm)],[fact_215_WT__bodiesD])). 20.26/20.50 thf(c_0_29, negated_conjecture, ~hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o), inference(split_conjunct,[status(thm)],[c_0_24])). 20.26/20.50 thf(c_0_30, plain, ![X5:hoare_1167836817_state > $o]:hoare_123228589_state @ X5 @ bot_bo70021908tate_o, inference(split_conjunct,[status(thm)],[c_0_25])). 20.26/20.50 thf(c_0_31, plain, ![X4089:hoare_1167836817_state > $o, X4091:hoare_1167836817_state > $o, X4092:hoare_1167836817_state]:((X4089 @ (esk29_1 @ X4089)|(bot_bo70021908tate_o)=(collec1027672124_state @ X4089))&((bot_bo70021908tate_o)!=(collec1027672124_state @ X4091)|~X4091 @ X4092)), 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_26])])])])])). 20.26/20.50 thf(c_0_32, plain, ![X5018:hoare_1167836817_state > $o]:(collec1027672124_state @ X5018)=(X5018), inference(variable_rename,[status(thm)],[fact_177_Collect__def])). 20.26/20.50 thf(c_0_33, plain, ![X4139:com]:(~hoare_1201148605gleton|(~wT_bodies|(~wt @ X4139|hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X4139) @ bot_bo70021908tate_o)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])). 20.26/20.50 thf(c_0_34, plain, ![X3757:pname, X3758:com]:(~wT_bodies|((body @ X3757)!=(some_com @ X3758)|wt @ X3758)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])). 20.26/20.50 thf(c_0_35, plain, ![X3817:hoare_1167836817_state, X3818:hoare_1167836817_state]:((~member2058392318_state @ X3817 @ (insert2134838167_state @ X3818 @ bot_bo70021908tate_o)|(X3817)=(X3818))&((X3817)!=(X3818)|member2058392318_state @ X3817 @ (insert2134838167_state @ X3818 @ bot_bo70021908tate_o))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_148_singleton__iff])])). 20.26/20.50 thf(c_0_36, plain, ![X5098:hoare_1167836817_state, X5099:hoare_1167836817_state > $o]:((~X5099 @ X5098|member2058392318_state @ X5098 @ X5099)&(~member2058392318_state @ X5098 @ X5099|X5099 @ X5098)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_176_mem__def])])). 20.26/20.50 thf(c_0_37, plain, (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o)!=(bot_bo70021908tate_o), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_29, c_0_30])])). 20.26/20.50 thf(c_0_38, plain, ![X5:hoare_1167836817_state > $o, X7:hoare_1167836817_state]:((bot_bo70021908tate_o)!=(collec1027672124_state @ X5)|~X5 @ X7), inference(split_conjunct,[status(thm)],[c_0_31])). 20.26/20.50 thf(c_0_39, plain, ![X5:hoare_1167836817_state > $o]:(collec1027672124_state @ X5)=(X5), inference(split_conjunct,[status(thm)],[c_0_32])). 20.26/20.50 thf(c_0_40, plain, ![X84:hoare_1167836817_state > $o, X85:hoare_1167836817_state > $o, X86:hoare_1167836817_state > $o]:(hoare_123228589_state @ X85 @ X86=>(hoare_123228589_state @ X84 @ X85=>hoare_123228589_state @ X84 @ X86)), inference(fof_simplification,[status(thm)],[fact_4_cut])). 20.26/20.50 thf(c_0_41, plain, ![X25:com]:(hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X25) @ bot_bo70021908tate_o)|~hoare_1201148605gleton|~wT_bodies|~wt @ X25), inference(split_conjunct,[status(thm)],[c_0_33])). 20.26/20.50 thf(c_0_42, hypothesis, wT_bodies, inference(split_conjunct,[status(thm)],[conj_1])). 20.26/20.50 thf(c_0_43, hypothesis, hoare_1201148605gleton, inference(split_conjunct,[status(thm)],[conj_0])). 20.26/20.50 thf(c_0_44, plain, ![X24:pname, X25:com]:(wt @ X25|~wT_bodies|(body @ X24)!=(some_com @ X25)), inference(split_conjunct,[status(thm)],[c_0_34])). 20.26/20.50 thf(c_0_45, plain, ![X7:hoare_1167836817_state, X8:hoare_1167836817_state]:((X7)=(X8)|~member2058392318_state @ X7 @ (insert2134838167_state @ X8 @ bot_bo70021908tate_o)), inference(split_conjunct,[status(thm)],[c_0_35])). 20.26/20.50 thf(c_0_46, plain, ![X5:hoare_1167836817_state > $o, X7:hoare_1167836817_state]:(member2058392318_state @ X7 @ X5|~X5 @ X7), inference(split_conjunct,[status(thm)],[c_0_36])). 20.26/20.50 thf(c_0_47, plain, (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o @ esk101_0)!=(bot_bo70021908tate_o @ esk101_0), inference(neg_ext,[status(thm)],[c_0_37])). 20.26/20.50 thf(c_0_48, plain, ![X7:hoare_1167836817_state]:~bot_bo70021908tate_o @ X7, inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])). 20.26/20.50 thf(c_0_49, plain, ![X3813:hoare_1167836817_state > $o, X3814:hoare_1167836817_state > $o, X3815:hoare_1167836817_state > $o]:(~hoare_123228589_state @ X3814 @ X3815|(~hoare_123228589_state @ X3813 @ X3814|hoare_123228589_state @ X3813 @ X3815)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])). 20.26/20.50 thf(c_0_50, hypothesis, hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ fa, inference(apply_def,[status(thm)],[conj_6, c_0_23])). 20.26/20.50 thf(c_0_51, plain, ![X25:com]:(hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X25) @ bot_bo70021908tate_o)|~wt @ X25), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42]), c_0_43])])). 20.26/20.51 thf(c_0_52, plain, ![X24:pname, X25:com]:(wt @ X25|(body @ X24)!=(some_com @ X25)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_42])])). 20.26/20.51 thf(c_0_53, plain, ![X8:hoare_1167836817_state, X7:hoare_1167836817_state]:((X7)=(X8)|~insert2134838167_state @ X8 @ bot_bo70021908tate_o @ X7), inference(spm,[status(thm)],[c_0_45, c_0_46])). 20.26/20.51 thf(c_0_54, plain, insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o @ esk101_0, inference(sr,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_47]), c_0_48])). 20.26/20.51 thf(c_0_55, plain, ![X10:hoare_1167836817_state > $o, X6:hoare_1167836817_state > $o, X5:hoare_1167836817_state > $o]:(hoare_123228589_state @ X10 @ X6|~hoare_123228589_state @ X5 @ X6|~hoare_123228589_state @ X10 @ X5), inference(split_conjunct,[status(thm)],[c_0_49])). 20.26/20.51 thf(c_0_56, hypothesis, hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ fa, inference(split_conjunct,[status(thm)],[c_0_50])). 20.26/20.51 thf(c_0_57, plain, ![X24:pname, X25:com]:(hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X25) @ bot_bo70021908tate_o)|(body @ X24)!=(some_com @ X25)), inference(spm,[status(thm)],[c_0_51, c_0_52])). 20.26/20.51 thf(c_0_58, plain, (hoare_Mirabelle_MGT @ y)=(esk101_0), inference(spm,[status(thm)],[c_0_53, c_0_54])). 20.26/20.51 thf(c_0_59, hypothesis, (body @ pn)=(some_com @ y), inference(split_conjunct,[status(thm)],[conj_5])). 20.26/20.51 thf(c_0_60, plain, ![X1189:hoare_1167836817_state, X1190:hoare_1167836817_state > $o]:(member2058392318_state @ X1189 @ X1190=>(insert2134838167_state @ X1189 @ X1190)=(X1190)), inference(fof_simplification,[status(thm)],[fact_87_insert__absorb])). 20.26/20.51 thf(c_0_61, hypothesis, ![X5:hoare_1167836817_state > $o]:(hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ X5|~hoare_123228589_state @ fa @ X5), inference(spm,[status(thm)],[c_0_55, c_0_56])). 20.26/20.51 thf(c_0_62, plain, ![X24:pname]:(hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ esk101_0 @ bot_bo70021908tate_o)|(body @ X24)!=(body @ pn)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])). 20.26/20.51 thf(c_0_63, negated_conjecture, ~hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ (insert2134838167_state @ esk101_0 @ bot_bo70021908tate_o), inference(rw,[status(thm)],[c_0_29, c_0_58])). 20.26/20.51 thf(c_0_64, plain, ![X5004:hoare_1167836817_state, X5005:hoare_1167836817_state > $o]:(~member2058392318_state @ X5004 @ X5005|(insert2134838167_state @ X5004 @ X5005)=(X5005)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])). 20.26/20.51 thf(c_0_65, plain, ![X24:pname]:((body @ X24)!=(body @ pn)|(fa)!=(bot_bo70021908tate_o)), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_61, c_0_62])]), c_0_63])). 20.26/20.51 thf(c_0_66, plain, ![X1600:(hoare_1167836817_state > $o) > $o]:((collec269976083tate_o @ X1600)=(bot_bo691907561te_o_o)<=>![X1601:hoare_1167836817_state > $o]:~X1600 @ X1601), inference(fof_simplification,[status(thm)],[fact_70_Collect__empty__eq])). 20.26/20.51 thf(c_0_67, plain, ![X7:hoare_1167836817_state, X5:hoare_1167836817_state > $o]:((insert2134838167_state @ X7 @ X5)=(X5)|~member2058392318_state @ X7 @ X5), inference(split_conjunct,[status(thm)],[c_0_64])). 20.26/20.51 thf(c_0_68, plain, ![X24:pname]:((fa @ esk433_0)!=(bot_bo70021908tate_o @ esk433_0)|(body @ X24)!=(body @ pn)), inference(neg_ext,[status(thm)],[c_0_65])). 20.26/20.51 thf(c_0_69, plain, ![X5447:(hoare_1167836817_state > $o) > $o, X5448:hoare_1167836817_state > $o, X5449:(hoare_1167836817_state > $o) > $o]:(((collec269976083tate_o @ X5447)!=(bot_bo691907561te_o_o)|~X5447 @ X5448)&(X5449 @ (epred145_1 @ X5449)|(collec269976083tate_o @ X5449)=(bot_bo691907561te_o_o))), 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_66])])])])])). 20.26/20.51 thf(c_0_70, plain, ![X4206:(hoare_1167836817_state > $o) > $o]:(collec269976083tate_o @ X4206)=(X4206), inference(variable_rename,[status(thm)],[fact_180_Collect__def])). 20.26/20.51 thf(c_0_71, plain, ![X1477:(hoare_1167836817_state > $o) > $o]:((bot_bo691907561te_o_o)=(collec269976083tate_o @ X1477)<=>![X1478:hoare_1167836817_state > $o]:~X1477 @ X1478), inference(fof_simplification,[status(thm)],[fact_76_empty__Collect__eq])). 20.26/20.51 thf(c_0_72, plain, ![X1541:hoare_1167836817_state > $o, X1542:hoare_1167836817_state > $o, X1543:hoare_1167836817_state > $o]:(hoare_123228589_state @ X1542 @ X1543=>(ord_le827224136tate_o @ X1541 @ X1543=>hoare_123228589_state @ X1542 @ X1541)), inference(fof_simplification,[status(thm)],[fact_2_weaken])). 20.26/20.51 thf(c_0_73, plain, ![X1785:hoare_1167836817_state > $o]:((X1785)!=(bot_bo70021908tate_o)<=>?[X7:hoare_1167836817_state, X304:hoare_1167836817_state > $o]:((X1785)=(insert2134838167_state @ X7 @ X304)&~member2058392318_state @ X7 @ X304)), inference(fof_simplification,[status(thm)],[fact_267_nonempty__iff])). 20.26/20.51 thf(c_0_74, plain, ![X5:hoare_1167836817_state > $o, X7:hoare_1167836817_state]:((insert2134838167_state @ X7 @ X5)=(X5)|~X5 @ X7), inference(spm,[status(thm)],[c_0_67, c_0_46])). 20.26/20.51 thf(c_0_75, plain, ![X24:pname]:(fa @ esk433_0|(body @ X24)!=(body @ pn)), inference(sr,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_68]), c_0_48])). 20.26/20.51 thf(c_0_76, plain, ![X157:(hoare_1167836817_state > $o) > $o]:(X157 @ (epred145_1 @ X157)|(collec269976083tate_o @ X157)=(bot_bo691907561te_o_o)), inference(split_conjunct,[status(thm)],[c_0_69])). 20.26/20.51 thf(c_0_77, plain, ![X157:(hoare_1167836817_state > $o) > $o]:(collec269976083tate_o @ X157)=(X157), inference(split_conjunct,[status(thm)],[c_0_70])). 20.26/20.51 thf(c_0_78, plain, ![X5309:(hoare_1167836817_state > $o) > $o, X5310:hoare_1167836817_state > $o, X5311:(hoare_1167836817_state > $o) > $o]:(((bot_bo691907561te_o_o)!=(collec269976083tate_o @ X5309)|~X5309 @ X5310)&(X5311 @ (epred135_1 @ X5311)|(bot_bo691907561te_o_o)=(collec269976083tate_o @ X5311))), 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_71])])])])])). 20.26/20.51 thf(c_0_79, plain, ![X5382:hoare_1167836817_state > $o, X5383:hoare_1167836817_state > $o, X5384:hoare_1167836817_state > $o]:(~hoare_123228589_state @ X5383 @ X5384|(~ord_le827224136tate_o @ X5382 @ X5384|hoare_123228589_state @ X5383 @ X5382)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])). 20.26/20.51 thf(c_0_80, plain, ![X4294:hoare_1167836817_state > $o, X4295:hoare_1167836817_state]:ord_le827224136tate_o @ X4294 @ (insert2134838167_state @ X4295 @ X4294), inference(variable_rename,[status(thm)],[fact_188_subset__insertI])). 20.26/20.51 thf(c_0_81, plain, ![X5649:hoare_1167836817_state > $o, X5652:hoare_1167836817_state > $o, X5653:hoare_1167836817_state, X5654:hoare_1167836817_state > $o]:((((X5649)=(insert2134838167_state @ (esk92_1 @ X5649) @ (epred155_1 @ X5649))|(X5649)=(bot_bo70021908tate_o))&(~member2058392318_state @ (esk92_1 @ X5649) @ (epred155_1 @ X5649)|(X5649)=(bot_bo70021908tate_o)))&((X5652)!=(insert2134838167_state @ X5653 @ X5654)|member2058392318_state @ X5653 @ X5654|(X5652)!=(bot_bo70021908tate_o))), 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_73])])])])])])). 20.26/20.51 thf(c_0_82, plain, ![X4671:hoare_1167836817_state, X4672:hoare_1167836817_state > $o]:(bot_bo70021908tate_o)!=(insert2134838167_state @ X4671 @ X4672), inference(variable_rename,[status(thm)],[fact_152_empty__not__insert])). 20.26/20.51 thf(c_0_83, plain, ![X24:pname]:((insert2134838167_state @ esk433_0 @ fa)=(fa)|(body @ X24)!=(body @ pn)), inference(spm,[status(thm)],[c_0_74, c_0_75])). 20.26/20.51 thf(c_0_84, plain, ![X157:(hoare_1167836817_state > $o) > $o]:((X157)=(bot_bo691907561te_o_o)|X157 @ (epred145_1 @ X157)), inference(rw,[status(thm)],[c_0_76, c_0_77])). 20.26/20.51 thf(c_0_85, plain, ![X157:(hoare_1167836817_state > $o) > $o, X5:hoare_1167836817_state > $o]:((bot_bo691907561te_o_o)!=(collec269976083tate_o @ X157)|~X157 @ X5), inference(split_conjunct,[status(thm)],[c_0_78])). 20.26/20.51 thf(c_0_86, plain, ![X5:hoare_1167836817_state > $o, X10:hoare_1167836817_state > $o, X6:hoare_1167836817_state > $o]:(hoare_123228589_state @ X5 @ X10|~hoare_123228589_state @ X5 @ X6|~ord_le827224136tate_o @ X10 @ X6), inference(split_conjunct,[status(thm)],[c_0_79])). 20.26/20.51 thf(c_0_87, plain, ![X7:hoare_1167836817_state, X5:hoare_1167836817_state > $o]:ord_le827224136tate_o @ X5 @ (insert2134838167_state @ X7 @ X5), inference(split_conjunct,[status(thm)],[c_0_80])). 20.26/20.51 thf(c_0_88, plain, ![X5:hoare_1167836817_state > $o]:((X5)=(insert2134838167_state @ (esk92_1 @ X5) @ (epred155_1 @ X5))|(X5)=(bot_bo70021908tate_o)), inference(split_conjunct,[status(thm)],[c_0_81])). 20.26/20.51 thf(c_0_89, plain, ![X7:hoare_1167836817_state, X5:hoare_1167836817_state > $o]:(bot_bo70021908tate_o)!=(insert2134838167_state @ X7 @ X5), inference(split_conjunct,[status(thm)],[c_0_82])). 20.26/20.51 thf(c_0_90, plain, (insert2134838167_state @ esk433_0 @ fa)=(fa), inference(er,[status(thm)],[c_0_83])). 20.26/20.51 thf(c_0_91, plain, ![X6128:hoare_1167836817_state > $o, X157:(hoare_1167836817_state > $o) > $o]:((X157 @ X6128)=(bot_bo691907561te_o_o @ X6128)|X157 @ (epred145_1 @ X157)), inference(arg_cong,[status(thm)],[c_0_84])). 20.26/20.51 thf(c_0_92, plain, ![X5:hoare_1167836817_state > $o]:~bot_bo691907561te_o_o @ X5, inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_77])])). 20.26/20.51 thf(c_0_93, hypothesis, ![X5:hoare_1167836817_state > $o]:(hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ X5|~ord_le827224136tate_o @ X5 @ fa), inference(spm,[status(thm)],[c_0_86, c_0_56])). 20.26/20.51 thf(c_0_94, plain, ![X5:hoare_1167836817_state > $o]:((X5)=(bot_bo70021908tate_o)|ord_le827224136tate_o @ (epred155_1 @ X5) @ X5), inference(spm,[status(thm)],[c_0_87, c_0_88])). 20.26/20.51 thf(c_0_95, plain, (fa)!=(bot_bo70021908tate_o), inference(spm,[status(thm)],[c_0_89, c_0_90])). 20.26/20.51 thf(c_0_96, plain, ![X1257:hoare_1167836817_state > $o, X1258:hoare_1167836817_state > $o, X1259:hoare_1167836817_state > $o]:(hoare_123228589_state @ X1258 @ X1259=>(ord_le827224136tate_o @ X1258 @ X1257=>hoare_123228589_state @ X1257 @ X1259)), inference(fof_simplification,[status(thm)],[fact_3_thin])). 20.26/20.51 thf(c_0_97, plain, ![X157:(hoare_1167836817_state > $o) > $o, X5:hoare_1167836817_state > $o]:(X157 @ (epred145_1 @ X157)|~X157 @ X5), inference(sr,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_91]), c_0_92])). 20.26/20.51 thf(c_0_98, plain, hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ (epred155_1 @ fa), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_93, c_0_94])])]), c_0_95])). 20.26/20.51 thf(c_0_99, plain, ![X5082:hoare_1167836817_state > $o, X5083:hoare_1167836817_state > $o, X5084:hoare_1167836817_state > $o]:(~hoare_123228589_state @ X5083 @ X5084|(~ord_le827224136tate_o @ X5083 @ X5082|hoare_123228589_state @ X5082 @ X5084)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])). 20.26/20.51 thf(c_0_100, plain, ![X4248:hoare_1167836817_state > $o]:ord_le827224136tate_o @ bot_bo70021908tate_o @ X4248, inference(variable_rename,[status(thm)],[fact_22_empty__subsetI])). 20.26/20.51 thf(c_0_101, plain, hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ (epred145_1 @ (hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)))), inference(spm,[status(thm)],[c_0_97, c_0_98])). 20.26/20.51 thf(c_0_102, plain, ![X5:hoare_1167836817_state > $o, X6:hoare_1167836817_state > $o, X10:hoare_1167836817_state > $o]:(hoare_123228589_state @ X10 @ X6|~hoare_123228589_state @ X5 @ X6|~ord_le827224136tate_o @ X5 @ X10), inference(split_conjunct,[status(thm)],[c_0_99])). 20.26/20.51 thf(c_0_103, plain, ![X5:hoare_1167836817_state > $o]:ord_le827224136tate_o @ bot_bo70021908tate_o @ X5, inference(split_conjunct,[status(thm)],[c_0_100])). 20.26/20.51 thf(c_0_104, plain, ![X5:hoare_1167836817_state > $o]:(hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)) @ X5|~hoare_123228589_state @ (epred145_1 @ (hoare_123228589_state @ (image_575578384_state @ esk4_1 @ (dom_pname_com @ body)))) @ X5), inference(spm,[status(thm)],[c_0_55, c_0_101])). 20.26/20.51 thf(c_0_105, plain, ![X5:hoare_1167836817_state > $o, X24:pname]:(hoare_123228589_state @ X5 @ (insert2134838167_state @ esk101_0 @ bot_bo70021908tate_o)|(body @ X24)!=(body @ pn)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_62]), c_0_103])])). 20.26/20.51 thf(c_0_106, plain, ![X24:pname]:(body @ X24)!=(body @ pn), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_63])). 20.26/20.51 thf(c_0_107, plain, ($false), inference(er,[status(thm)],[c_0_106]), ['proof']). 20.26/20.51 # SZS output end CNFRefutation 20.26/20.51 # Proof object total steps : 108 20.26/20.51 # Proof object clause steps : 54 20.26/20.51 # Proof object formula steps : 54 20.26/20.51 # Proof object conjectures : 4 20.26/20.51 # Proof object clause conjectures : 2 20.26/20.51 # Proof object formula conjectures : 2 20.26/20.51 # Proof object initial clauses used : 23 20.26/20.51 # Proof object initial formulas used : 23 20.26/20.51 # Proof object generating inferences : 16 20.26/20.51 # Proof object simplifying inferences : 24 20.26/20.51 # Training examples: 0 positive, 0 negative 20.26/20.51 # Parsed axioms : 833 20.26/20.51 # Removed by relevancy pruning/SinE : 0 20.26/20.51 # Initial clauses : 1558 20.26/20.51 # Removed in clause preprocessing : 192 20.26/20.51 # Initial clauses in saturation : 1366 20.26/20.51 # Processed clauses : 54139 20.26/20.51 # ...of these trivial : 1497 20.26/20.51 # ...subsumed : 40853 20.26/20.51 # ...remaining for further processing : 11789 20.26/20.51 # Other redundant clauses eliminated : 37697 20.26/20.51 # Clauses deleted for lack of memory : 0 20.26/20.51 # Backward-subsumed : 246 20.26/20.51 # Backward-rewritten : 589 20.26/20.51 # Generated clauses : 845944 20.26/20.51 # ...of the previous two non-trivial : 739673 20.26/20.51 # Contextual simplify-reflections : 6 20.26/20.51 # Paramodulations : 718836 20.26/20.51 # Factorizations : 48 20.26/20.51 # NegExts : 5860 20.26/20.51 # Equation resolutions : 37723 20.26/20.51 # Propositional unsat checks : 2 20.26/20.51 # Propositional check models : 0 20.26/20.51 # Propositional check unsatisfiable : 0 20.26/20.51 # Propositional clauses : 0 20.26/20.51 # Propositional clauses after purity: 0 20.26/20.51 # Propositional unsat core size : 0 20.26/20.51 # Propositional preprocessing time : 0.000 20.26/20.51 # Propositional encoding time : 1.388 20.26/20.51 # Propositional solver time : 0.712 20.26/20.51 # Success case prop preproc time : 0.000 20.26/20.51 # Success case prop encoding time : 0.000 20.26/20.51 # Success case prop solver time : 0.000 20.26/20.51 # Current number of processed clauses : 9090 20.26/20.51 # Positive orientable unit clauses : 1296 20.26/20.51 # Positive unorientable unit clauses: 19 20.26/20.51 # Negative unit clauses : 1736 20.26/20.51 # Non-unit-clauses : 6039 20.26/20.51 # Current number of unprocessed clauses: 686361 20.26/20.51 # ...number of literals in the above : 1346066 20.26/20.51 # Current number of archived formulas : 0 20.26/20.51 # Current number of archived clauses : 2586 20.26/20.51 # Clause-clause subsumption calls (NU) : 6018843 20.26/20.51 # Rec. Clause-clause subsumption calls : 3383328 20.26/20.51 # Non-unit clause-clause subsumptions : 10846 20.26/20.51 # Unit Clause-clause subsumption calls : 749612 20.26/20.51 # Rewrite failures with RHS unbound : 10 20.26/20.51 # BW rewrite match attempts : 9389 20.26/20.51 # BW rewrite match successes : 565 20.26/20.51 # Condensation attempts : 0 20.26/20.51 # Condensation successes : 0 20.26/20.51 # Termbank termtop insertions : 13931448 20.31/20.58 20.31/20.58 # ------------------------------------------------- 20.31/20.58 # User time : 19.531 s 20.31/20.58 # System time : 0.612 s 20.31/20.58 # Total time : 20.144 s 20.31/20.58 # Maximum resident set size: 3736 pages 20.31/20.58 EOF