0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : eprover --auto -s --tableau=1 [--tableau-equality=1] --tableau-depth=10 %s 0.14/0.35 % Computer : n017.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Thu Jul 2 07:28:36 EDT 2020 0.14/0.35 % CPUTime : 0.14/0.36 % Running in FOF/CNF-non-UEQ mode 0.22/0.40 # No SInE strategy applied 0.22/0.40 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SI 0.22/0.40 # and selection function SelectNewComplexAHP. 0.22/0.40 # 0.22/0.40 # Presaturation interreduction done 0.22/0.40 # Number of axioms: 80 Number of unprocessed: 80 0.22/0.40 # Tableaux proof search. 0.22/0.40 # 80 beginning clauses after preprocessing and clausification 0.22/0.40 # Creating start rules for all conjectures. 0.22/0.40 # 15 unit axioms, 4 start rules, and 61 other extension candidates. 0.22/0.40 ##### Beginning tableaux proof search with 4 start rule applications. 0.22/0.43 # Beginning deep saturation check 0.22/0.43 # Saturate returned empty clause 0x2103460. 0.22/0.43 # Success 0.22/0.43 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.43 # SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.43 # Begin clausification derivation 0.22/0.43 fof(mDefSSum, axiom, ![X1, X2]:((aSet0(X1)&aSet0(X2))=>![X3]:(X3=sdtpldt1(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>?[X5, X6]:((aElementOf0(X5,X1)&aElementOf0(X6,X2))&sdtpldt0(X5,X6)=X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefSSum)). 0.22/0.43 fof(mDefSInt, axiom, ![X1, X2]:((aSet0(X1)&aSet0(X2))=>![X3]:(X3=sdtasasdt0(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>(aElementOf0(X4,X1)&aElementOf0(X4,X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefSInt)). 0.22/0.43 fof(m__, conjecture, ?[X1]:((aElement0(X1)&(aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)|sdteqdtlpzmzozddtrp0(X1,xx,xI)))&(sdteqdtlpzmzozddtrp0(X1,xy,xJ)|aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)). 0.22/0.43 fof(mSetEq, axiom, ![X1, X2]:((aSet0(X1)&aSet0(X2))=>((![X3]:(aElementOf0(X3,X1)<=aElementOf0(X3,X2))&![X3]:(aElementOf0(X3,X1)=>aElementOf0(X3,X2)))=>X2=X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSetEq)). 0.22/0.43 fof(mAMDistr, axiom, ![X1, X2, X3]:(((aElement0(X1)&aElement0(X3))&aElement0(X2))=>(sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))=sdtasdt0(sdtpldt0(X2,X3),X1)&sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mAMDistr)). 0.22/0.43 fof(mMulAsso, axiom, ![X1, X2, X3]:(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(sdtasdt0(X1,X2),X3)<=((aElement0(X3)&aElement0(X2))&aElement0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulAsso)). 0.22/0.43 fof(mDefIdeal, axiom, ![X1]:(aIdeal0(X1)<=>(aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>(![X3]:(aElementOf0(X3,X1)=>aElementOf0(sdtpldt0(X2,X3),X1))&![X3]:(aElement0(X3)=>aElementOf0(sdtasdt0(X3,X2),X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefIdeal)). 0.22/0.43 fof(mDefMod, axiom, ![X1, X2, X3]:(((aElement0(X1)&aElement0(X2))&aIdeal0(X3))=>(sdteqdtlpzmzozddtrp0(X1,X2,X3)<=>aElementOf0(sdtpldt0(X1,smndt0(X2)),X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefMod)). 0.22/0.43 fof(mAddAsso, axiom, ![X1, X2, X3]:(((aElement0(X2)&aElement0(X3))&aElement0(X1))=>sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(X1,X2),X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mAddAsso)). 0.22/0.43 fof(mCancel, axiom, ![X1, X2]:((sdtasdt0(X1,X2)=sz00=>(sz00=X1|X2=sz00))<=(aElement0(X1)&aElement0(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mCancel)). 0.22/0.43 fof(mMulComm, axiom, ![X1, X2]:(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)<=(aElement0(X2)&aElement0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulComm)). 0.22/0.43 fof(mAddComm, axiom, ![X1, X2]:(sdtpldt0(X2,X1)=sdtpldt0(X1,X2)<=(aElement0(X2)&aElement0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mAddComm)). 0.22/0.43 fof(m__1205, hypothesis, (((((aSet0(xI)&![X1]:(aElementOf0(X1,xI)=>(![X2]:(aElementOf0(sdtasdt0(X2,X1),xI)<=aElement0(X2))&![X2]:(aElementOf0(X2,xI)=>aElementOf0(sdtpldt0(X1,X2),xI)))))&aIdeal0(xI))&aSet0(xJ))&aIdeal0(xJ))&![X1]:((![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),xJ))&![X2]:(aElementOf0(X2,xJ)=>aElementOf0(sdtpldt0(X1,X2),xJ)))<=aElementOf0(X1,xJ))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1205)). 0.22/0.43 fof(mSortsB_02, axiom, ![X1, X2]:((aElement0(X2)&aElement0(X1))=>aElement0(sdtasdt0(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsB_02)). 0.22/0.43 fof(mIdeInt, axiom, ![X1, X2]:((aIdeal0(X2)&aIdeal0(X1))=>aIdeal0(sdtasasdt0(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mIdeInt)). 0.22/0.43 fof(mIdeSum, axiom, ![X1, X2]:((aIdeal0(X2)&aIdeal0(X1))=>aIdeal0(sdtpldt1(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mIdeSum)). 0.22/0.43 fof(m__1205_03, hypothesis, ![X1]:((aElementOf0(X1,sdtpldt1(xI,xJ))&?[X2, X3]:((aElementOf0(X2,xI)&aElementOf0(X3,xJ))&sdtpldt0(X2,X3)=X1))<=aElement0(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1205_03)). 0.22/0.43 fof(mSortsB, axiom, ![X1, X2]:(aElement0(sdtpldt0(X1,X2))<=(aElement0(X2)&aElement0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsB)). 0.22/0.43 fof(mMulMnOne, axiom, ![X1]:((sdtasdt0(X1,smndt0(sz10))=smndt0(X1)&smndt0(X1)=sdtasdt0(smndt0(sz10),X1))<=aElement0(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulMnOne)). 0.22/0.43 fof(mAddInvr, axiom, ![X1]:((sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))<=aElement0(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mAddInvr)). 0.22/0.43 fof(mEOfElem, axiom, ![X1]:(![X2]:(aElementOf0(X2,X1)=>aElement0(X2))<=aSet0(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mEOfElem)). 0.22/0.43 fof(mMulUnit, axiom, ![X1]:(aElement0(X1)=>(X1=sdtasdt0(X1,sz10)&sdtasdt0(sz10,X1)=X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulUnit)). 0.22/0.43 fof(mAddZero, axiom, ![X1]:((sdtpldt0(X1,sz00)=X1&sdtpldt0(sz00,X1)=X1)<=aElement0(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mAddZero)). 0.22/0.43 fof(mMulZero, axiom, ![X1]:(aElement0(X1)=>(sz00=sdtasdt0(X1,sz00)&sz00=sdtasdt0(sz00,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulZero)). 0.22/0.43 fof(mSortsU, axiom, ![X1]:(aElement0(smndt0(X1))<=aElement0(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsU)). 0.22/0.43 fof(mUnNeZr, axiom, sz10!=sz00, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mUnNeZr)). 0.22/0.43 fof(m__1319, hypothesis, xw=sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1319)). 0.22/0.43 fof(m__1294, hypothesis, ((sz10=sdtpldt0(xa,xb)&aElementOf0(xb,xJ))&aElementOf0(xa,xI)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1294)). 0.22/0.43 fof(m__1409, hypothesis, aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1409)). 0.22/0.43 fof(m__1332, hypothesis, aElementOf0(sdtpldt0(xw,smndt0(xx)),xI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1332)). 0.22/0.43 fof(mSortsC, axiom, aElement0(sz00), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsC)). 0.22/0.43 fof(mSortsC_01, axiom, aElement0(sz10), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsC_01)). 0.22/0.43 fof(m__1217, hypothesis, (aElement0(xx)&aElement0(xy)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1217)). 0.22/0.43 fof(c_0_33, plain, ![X7, X8, X9, X10, X13, X14, X15, X16, X18, X19]:(((aSet0(X9)|X9!=sdtpldt1(X7,X8)|(~aSet0(X7)|~aSet0(X8)))&((((aElementOf0(esk1_4(X7,X8,X9,X10),X7)|~aElementOf0(X10,X9)|X9!=sdtpldt1(X7,X8)|(~aSet0(X7)|~aSet0(X8)))&(aElementOf0(esk2_4(X7,X8,X9,X10),X8)|~aElementOf0(X10,X9)|X9!=sdtpldt1(X7,X8)|(~aSet0(X7)|~aSet0(X8))))&(sdtpldt0(esk1_4(X7,X8,X9,X10),esk2_4(X7,X8,X9,X10))=X10|~aElementOf0(X10,X9)|X9!=sdtpldt1(X7,X8)|(~aSet0(X7)|~aSet0(X8))))&(~aElementOf0(X14,X7)|~aElementOf0(X15,X8)|sdtpldt0(X14,X15)!=X13|aElementOf0(X13,X9)|X9!=sdtpldt1(X7,X8)|(~aSet0(X7)|~aSet0(X8)))))&((~aElementOf0(esk3_3(X7,X8,X16),X16)|(~aElementOf0(X18,X7)|~aElementOf0(X19,X8)|sdtpldt0(X18,X19)!=esk3_3(X7,X8,X16))|~aSet0(X16)|X16=sdtpldt1(X7,X8)|(~aSet0(X7)|~aSet0(X8)))&(((aElementOf0(esk4_3(X7,X8,X16),X7)|aElementOf0(esk3_3(X7,X8,X16),X16)|~aSet0(X16)|X16=sdtpldt1(X7,X8)|(~aSet0(X7)|~aSet0(X8)))&(aElementOf0(esk5_3(X7,X8,X16),X8)|aElementOf0(esk3_3(X7,X8,X16),X16)|~aSet0(X16)|X16=sdtpldt1(X7,X8)|(~aSet0(X7)|~aSet0(X8))))&(sdtpldt0(esk4_3(X7,X8,X16),esk5_3(X7,X8,X16))=esk3_3(X7,X8,X16)|aElementOf0(esk3_3(X7,X8,X16),X16)|~aSet0(X16)|X16=sdtpldt1(X7,X8)|(~aSet0(X7)|~aSet0(X8)))))), 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)],[mDefSSum])])])])])])). 0.22/0.43 fof(c_0_34, plain, ![X22, X23, X24, X25, X26, X27]:(((aSet0(X24)|X24!=sdtasasdt0(X22,X23)|(~aSet0(X22)|~aSet0(X23)))&(((aElementOf0(X25,X22)|~aElementOf0(X25,X24)|X24!=sdtasasdt0(X22,X23)|(~aSet0(X22)|~aSet0(X23)))&(aElementOf0(X25,X23)|~aElementOf0(X25,X24)|X24!=sdtasasdt0(X22,X23)|(~aSet0(X22)|~aSet0(X23))))&(~aElementOf0(X26,X22)|~aElementOf0(X26,X23)|aElementOf0(X26,X24)|X24!=sdtasasdt0(X22,X23)|(~aSet0(X22)|~aSet0(X23)))))&((~aElementOf0(esk6_3(X22,X23,X27),X27)|(~aElementOf0(esk6_3(X22,X23,X27),X22)|~aElementOf0(esk6_3(X22,X23,X27),X23))|~aSet0(X27)|X27=sdtasasdt0(X22,X23)|(~aSet0(X22)|~aSet0(X23)))&((aElementOf0(esk6_3(X22,X23,X27),X22)|aElementOf0(esk6_3(X22,X23,X27),X27)|~aSet0(X27)|X27=sdtasasdt0(X22,X23)|(~aSet0(X22)|~aSet0(X23)))&(aElementOf0(esk6_3(X22,X23,X27),X23)|aElementOf0(esk6_3(X22,X23,X27),X27)|~aSet0(X27)|X27=sdtasasdt0(X22,X23)|(~aSet0(X22)|~aSet0(X23)))))), 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)],[mDefSInt])])])])])])). 0.22/0.43 fof(c_0_35, negated_conjecture, ~(?[X1]:((aElement0(X1)&(aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)|sdteqdtlpzmzozddtrp0(X1,xx,xI)))&(sdteqdtlpzmzozddtrp0(X1,xy,xJ)|aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)))), inference(assume_negation,[status(cth)],[m__])). 0.22/0.43 cnf(c_0_36, plain, (sdtpldt0(esk1_4(X1,X2,X3,X4),esk2_4(X1,X2,X3,X4))=X4|~aElementOf0(X4,X3)|X3!=sdtpldt1(X1,X2)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.22/0.43 cnf(c_0_37, plain, (aElementOf0(esk2_4(X1,X2,X3,X4),X2)|~aElementOf0(X4,X3)|X3!=sdtpldt1(X1,X2)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.22/0.43 cnf(c_0_38, plain, (aElementOf0(esk1_4(X1,X2,X3,X4),X1)|~aElementOf0(X4,X3)|X3!=sdtpldt1(X1,X2)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.22/0.43 cnf(c_0_39, plain, (aElementOf0(X5,X6)|~aElementOf0(X1,X2)|~aElementOf0(X3,X4)|sdtpldt0(X1,X3)!=X5|X6!=sdtpldt1(X2,X4)|~aSet0(X2)|~aSet0(X4)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.22/0.43 cnf(c_0_40, plain, (aElementOf0(X1,X4)|~aElementOf0(X1,X2)|~aElementOf0(X1,X3)|X4!=sdtasasdt0(X2,X3)|~aSet0(X2)|~aSet0(X3)), inference(split_conjunct,[status(thm)],[c_0_34])). 0.22/0.43 cnf(c_0_41, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,X3)|X3!=sdtasasdt0(X2,X4)|~aSet0(X2)|~aSet0(X4)), inference(split_conjunct,[status(thm)],[c_0_34])). 0.22/0.43 cnf(c_0_42, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,X3)|X3!=sdtasasdt0(X4,X2)|~aSet0(X4)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_34])). 0.22/0.43 cnf(c_0_43, plain, (aSet0(X1)|X1!=sdtasasdt0(X2,X3)|~aSet0(X2)|~aSet0(X3)), inference(split_conjunct,[status(thm)],[c_0_34])). 0.22/0.43 cnf(c_0_44, plain, (aSet0(X1)|X1!=sdtpldt1(X2,X3)|~aSet0(X2)|~aSet0(X3)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.22/0.43 fof(c_0_45, plain, ![X81, X82]:(((aElementOf0(esk13_2(X81,X82),X81)|aElementOf0(esk12_2(X81,X82),X82)|X82=X81|(~aSet0(X81)|~aSet0(X82)))&(~aElementOf0(esk13_2(X81,X82),X82)|aElementOf0(esk12_2(X81,X82),X82)|X82=X81|(~aSet0(X81)|~aSet0(X82))))&((aElementOf0(esk13_2(X81,X82),X81)|~aElementOf0(esk12_2(X81,X82),X81)|X82=X81|(~aSet0(X81)|~aSet0(X82)))&(~aElementOf0(esk13_2(X81,X82),X82)|~aElementOf0(esk12_2(X81,X82),X81)|X82=X81|(~aSet0(X81)|~aSet0(X82))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mSetEq])])])])])). 0.22/0.43 fof(c_0_46, plain, ![X47, X48, X49]:((sdtpldt0(sdtasdt0(X48,X47),sdtasdt0(X49,X47))=sdtasdt0(sdtpldt0(X48,X49),X47)|(~aElement0(X47)|~aElement0(X49)|~aElement0(X48)))&(sdtpldt0(sdtasdt0(X47,X48),sdtasdt0(X47,X49))=sdtasdt0(X47,sdtpldt0(X48,X49))|(~aElement0(X47)|~aElement0(X49)|~aElement0(X48)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])])). 0.22/0.43 fof(c_0_47, plain, ![X50, X51, X52]:(~aElement0(X52)|~aElement0(X51)|~aElement0(X50)|sdtasdt0(X50,sdtasdt0(X51,X52))=sdtasdt0(sdtasdt0(X50,X51),X52)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mMulAsso])])])). 0.22/0.43 fof(c_0_48, plain, ![X29, X30, X31, X32, X33]:(((aSet0(X29)|~aIdeal0(X29))&((~aElementOf0(X31,X29)|aElementOf0(sdtpldt0(X30,X31),X29)|~aElementOf0(X30,X29)|~aIdeal0(X29))&(~aElement0(X32)|aElementOf0(sdtasdt0(X32,X30),X29)|~aElementOf0(X30,X29)|~aIdeal0(X29))))&((aElementOf0(esk7_1(X33),X33)|~aSet0(X33)|aIdeal0(X33))&(((aElement0(esk9_1(X33))|aElementOf0(esk8_1(X33),X33)|~aSet0(X33)|aIdeal0(X33))&(~aElementOf0(sdtasdt0(esk9_1(X33),esk7_1(X33)),X33)|aElementOf0(esk8_1(X33),X33)|~aSet0(X33)|aIdeal0(X33)))&((aElement0(esk9_1(X33))|~aElementOf0(sdtpldt0(esk7_1(X33),esk8_1(X33)),X33)|~aSet0(X33)|aIdeal0(X33))&(~aElementOf0(sdtasdt0(esk9_1(X33),esk7_1(X33)),X33)|~aElementOf0(sdtpldt0(esk7_1(X33),esk8_1(X33)),X33)|~aSet0(X33)|aIdeal0(X33)))))), 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)],[mDefIdeal])])])])])])). 0.22/0.43 fof(c_0_49, plain, ![X37, X38, X39]:((~sdteqdtlpzmzozddtrp0(X37,X38,X39)|aElementOf0(sdtpldt0(X37,smndt0(X38)),X39)|(~aElement0(X37)|~aElement0(X38)|~aIdeal0(X39)))&(~aElementOf0(sdtpldt0(X37,smndt0(X38)),X39)|sdteqdtlpzmzozddtrp0(X37,X38,X39)|(~aElement0(X37)|~aElement0(X38)|~aIdeal0(X39)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMod])])])). 0.22/0.43 fof(c_0_50, plain, ![X65, X66, X67]:(~aElement0(X66)|~aElement0(X67)|~aElement0(X65)|sdtpldt0(X65,sdtpldt0(X66,X67))=sdtpldt0(sdtpldt0(X65,X66),X67)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])). 0.22/0.43 fof(c_0_51, plain, ![X79, X80]:(~aElement0(X79)|~aElement0(X80)|(sdtasdt0(X79,X80)!=sz00|(sz00=X79|X80=sz00))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mCancel])])])). 0.22/0.43 fof(c_0_52, plain, ![X68, X69]:(~aElement0(X69)|~aElement0(X68)|sdtasdt0(X68,X69)=sdtasdt0(X69,X68)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mMulComm])])])). 0.22/0.43 fof(c_0_53, plain, ![X45, X46]:(~aElement0(X46)|~aElement0(X45)|sdtpldt0(X46,X45)=sdtpldt0(X45,X46)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mAddComm])])])). 0.22/0.43 fof(c_0_54, hypothesis, ![X71, X72, X73, X74, X75, X76]:(((((aSet0(xI)&((~aElement0(X72)|aElementOf0(sdtasdt0(X72,X71),xI)|~aElementOf0(X71,xI))&(~aElementOf0(X73,xI)|aElementOf0(sdtpldt0(X71,X73),xI)|~aElementOf0(X71,xI))))&aIdeal0(xI))&aSet0(xJ))&aIdeal0(xJ))&((~aElement0(X75)|aElementOf0(sdtasdt0(X75,X74),xJ)|~aElementOf0(X74,xJ))&(~aElementOf0(X76,xJ)|aElementOf0(sdtpldt0(X74,X76),xJ)|~aElementOf0(X74,xJ)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__1205])])])])])). 0.22/0.43 fof(c_0_55, plain, ![X41, X42]:(~aElement0(X42)|~aElement0(X41)|aElement0(sdtasdt0(X41,X42))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])). 0.22/0.43 fof(c_0_56, plain, ![X77, X78]:(~aIdeal0(X78)|~aIdeal0(X77)|aIdeal0(sdtasasdt0(X77,X78))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeInt])])). 0.22/0.43 fof(c_0_57, plain, ![X53, X54]:(~aIdeal0(X54)|~aIdeal0(X53)|aIdeal0(sdtpldt1(X53,X54))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeSum])])). 0.22/0.43 fof(c_0_58, hypothesis, ![X56]:((aElementOf0(X56,sdtpldt1(xI,xJ))|~aElement0(X56))&(((aElementOf0(esk10_1(X56),xI)|~aElement0(X56))&(aElementOf0(esk11_1(X56),xJ)|~aElement0(X56)))&(sdtpldt0(esk10_1(X56),esk11_1(X56))=X56|~aElement0(X56)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__1205_03])])])])])). 0.22/0.43 fof(c_0_59, plain, ![X63, X64]:(~aElement0(X64)|~aElement0(X63)|aElement0(sdtpldt0(X63,X64))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mSortsB])])])). 0.22/0.43 fof(c_0_60, plain, ![X70]:((sdtasdt0(X70,smndt0(sz10))=smndt0(X70)|~aElement0(X70))&(smndt0(X70)=sdtasdt0(smndt0(sz10),X70)|~aElement0(X70))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mMulMnOne])])])])). 0.22/0.43 fof(c_0_61, plain, ![X62]:((sdtpldt0(X62,smndt0(X62))=sz00|~aElement0(X62))&(sz00=sdtpldt0(smndt0(X62),X62)|~aElement0(X62))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mAddInvr])])])])). 0.22/0.43 fof(c_0_62, plain, ![X59, X60]:(~aSet0(X59)|(~aElementOf0(X60,X59)|aElement0(X60))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mEOfElem])])])])). 0.22/0.43 fof(c_0_63, plain, ![X40]:((X40=sdtasdt0(X40,sz10)|~aElement0(X40))&(sdtasdt0(sz10,X40)=X40|~aElement0(X40))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])])). 0.22/0.43 fof(c_0_64, negated_conjecture, ![X61]:(((~sdteqdtlpzmzozddtrp0(X61,xy,xJ)|(~aElementOf0(sdtpldt0(X61,smndt0(xx)),xI)|~aElement0(X61)))&(~aElementOf0(sdtpldt0(X61,smndt0(xy)),xJ)|(~aElementOf0(sdtpldt0(X61,smndt0(xx)),xI)|~aElement0(X61))))&((~sdteqdtlpzmzozddtrp0(X61,xy,xJ)|(~sdteqdtlpzmzozddtrp0(X61,xx,xI)|~aElement0(X61)))&(~aElementOf0(sdtpldt0(X61,smndt0(xy)),xJ)|(~sdteqdtlpzmzozddtrp0(X61,xx,xI)|~aElement0(X61))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])). 0.22/0.43 fof(c_0_65, plain, ![X55]:((sdtpldt0(X55,sz00)=X55|~aElement0(X55))&(sdtpldt0(sz00,X55)=X55|~aElement0(X55))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mAddZero])])])])). 0.22/0.43 fof(c_0_66, plain, ![X44]:((sz00=sdtasdt0(X44,sz00)|~aElement0(X44))&(sz00=sdtasdt0(sz00,X44)|~aElement0(X44))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])])). 0.22/0.43 fof(c_0_67, plain, ![X43]:(~aElement0(X43)|aElement0(smndt0(X43))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mSortsU])])])). 0.22/0.43 cnf(c_0_68, plain, (sdtpldt0(esk1_4(X1,X2,sdtpldt1(X1,X2),X3),esk2_4(X1,X2,sdtpldt1(X1,X2),X3))=X3|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1)), inference(er,[status(thm)],[c_0_36]), ['final']). 0.22/0.43 cnf(c_0_69, plain, (aElementOf0(esk2_4(X1,X2,sdtpldt1(X1,X2),X3),X2)|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1)), inference(er,[status(thm)],[c_0_37]), ['final']). 0.22/0.43 cnf(c_0_70, plain, (aElementOf0(esk1_4(X1,X2,sdtpldt1(X1,X2),X3),X1)|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1)), inference(er,[status(thm)],[c_0_38]), ['final']). 0.22/0.43 cnf(c_0_71, plain, (aElementOf0(sdtpldt0(X1,X2),sdtpldt1(X3,X4))|~aElementOf0(X2,X4)|~aElementOf0(X1,X3)|~aSet0(X4)|~aSet0(X3)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])]), ['final']). 0.22/0.43 cnf(c_0_72, plain, (aElementOf0(X1,sdtasasdt0(X2,X3))|~aElementOf0(X1,X3)|~aElementOf0(X1,X2)|~aSet0(X3)|~aSet0(X2)), inference(er,[status(thm)],[c_0_40]), ['final']). 0.22/0.43 cnf(c_0_73, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X2,X3))|~aSet0(X3)|~aSet0(X2)), inference(er,[status(thm)],[c_0_41]), ['final']). 0.22/0.43 cnf(c_0_74, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X3,X2))|~aSet0(X3)|~aSet0(X2)), inference(er,[status(thm)],[c_0_42]), ['final']). 0.22/0.43 cnf(c_0_75, plain, (aSet0(sdtasasdt0(X1,X2))|~aSet0(X2)|~aSet0(X1)), inference(er,[status(thm)],[c_0_43]), ['final']). 0.22/0.43 cnf(c_0_76, plain, (aSet0(sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1)), inference(er,[status(thm)],[c_0_44]), ['final']). 0.22/0.43 cnf(c_0_77, plain, (sdtpldt0(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3))=esk3_3(X1,X2,X3)|aElementOf0(esk3_3(X1,X2,X3),X3)|X3=sdtpldt1(X1,X2)|~aSet0(X3)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 0.22/0.43 cnf(c_0_78, plain, (aElementOf0(esk6_3(X1,X2,X3),X1)|aElementOf0(esk6_3(X1,X2,X3),X3)|X3=sdtasasdt0(X1,X2)|~aSet0(X3)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_34]), ['final']). 0.22/0.43 cnf(c_0_79, plain, (aElementOf0(esk6_3(X1,X2,X3),X2)|aElementOf0(esk6_3(X1,X2,X3),X3)|X3=sdtasasdt0(X1,X2)|~aSet0(X3)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_34]), ['final']). 0.22/0.43 cnf(c_0_80, plain, (aElementOf0(esk5_3(X1,X2,X3),X2)|aElementOf0(esk3_3(X1,X2,X3),X3)|X3=sdtpldt1(X1,X2)|~aSet0(X3)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 0.22/0.43 cnf(c_0_81, plain, (X3=sdtpldt1(X1,X2)|~aElementOf0(esk3_3(X1,X2,X3),X3)|~aElementOf0(X4,X1)|~aElementOf0(X5,X2)|sdtpldt0(X4,X5)!=esk3_3(X1,X2,X3)|~aSet0(X3)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 0.22/0.43 cnf(c_0_82, plain, (X3=sdtasasdt0(X1,X2)|~aElementOf0(esk6_3(X1,X2,X3),X3)|~aElementOf0(esk6_3(X1,X2,X3),X1)|~aElementOf0(esk6_3(X1,X2,X3),X2)|~aSet0(X3)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_34]), ['final']). 0.22/0.43 cnf(c_0_83, plain, (aElementOf0(esk4_3(X1,X2,X3),X1)|aElementOf0(esk3_3(X1,X2,X3),X3)|X3=sdtpldt1(X1,X2)|~aSet0(X3)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 0.22/0.43 cnf(c_0_84, plain, (aElementOf0(esk13_2(X1,X2),X1)|X2=X1|~aElementOf0(esk12_2(X1,X2),X1)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_45]), ['final']). 0.22/0.43 cnf(c_0_85, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))=sdtasdt0(sdtpldt0(X1,X3),X2)|~aElement0(X2)|~aElement0(X3)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_46]), ['final']). 0.22/0.43 cnf(c_0_86, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aElement0(X1)|~aElement0(X3)|~aElement0(X2)), inference(split_conjunct,[status(thm)],[c_0_46]), ['final']). 0.22/0.43 cnf(c_0_87, plain, (aElementOf0(esk12_2(X1,X2),X2)|X2=X1|~aElementOf0(esk13_2(X1,X2),X2)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_45]), ['final']). 0.22/0.43 cnf(c_0_88, plain, (sdtasdt0(X3,sdtasdt0(X2,X1))=sdtasdt0(sdtasdt0(X3,X2),X1)|~aElement0(X1)|~aElement0(X2)|~aElement0(X3)), inference(split_conjunct,[status(thm)],[c_0_47]), ['final']). 0.22/0.43 cnf(c_0_89, plain, (aIdeal0(X1)|~aElementOf0(sdtasdt0(esk9_1(X1),esk7_1(X1)),X1)|~aElementOf0(sdtpldt0(esk7_1(X1),esk8_1(X1)),X1)|~aSet0(X1)), inference(split_conjunct,[status(thm)],[c_0_48]), ['final']). 0.22/0.43 cnf(c_0_90, plain, (aElementOf0(esk8_1(X1),X1)|aIdeal0(X1)|~aElementOf0(sdtasdt0(esk9_1(X1),esk7_1(X1)),X1)|~aSet0(X1)), inference(split_conjunct,[status(thm)],[c_0_48]), ['final']). 0.22/0.43 cnf(c_0_91, plain, (aElementOf0(esk13_2(X1,X2),X1)|aElementOf0(esk12_2(X1,X2),X2)|X2=X1|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_45]), ['final']). 0.22/0.43 cnf(c_0_92, plain, (X2=X1|~aElementOf0(esk13_2(X1,X2),X2)|~aElementOf0(esk12_2(X1,X2),X1)|~aSet0(X1)|~aSet0(X2)), inference(split_conjunct,[status(thm)],[c_0_45]), ['final']). 0.22/0.43 cnf(c_0_93, plain, (aElement0(esk9_1(X1))|aIdeal0(X1)|~aElementOf0(sdtpldt0(esk7_1(X1),esk8_1(X1)),X1)|~aSet0(X1)), inference(split_conjunct,[status(thm)],[c_0_48]), ['final']). 0.22/0.43 cnf(c_0_94, plain, (sdteqdtlpzmzozddtrp0(X1,X2,X3)|~aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)|~aElement0(X1)|~aElement0(X2)|~aIdeal0(X3)), inference(split_conjunct,[status(thm)],[c_0_49]), ['final']). 0.22/0.43 cnf(c_0_95, plain, (aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)|~sdteqdtlpzmzozddtrp0(X1,X2,X3)|~aElement0(X1)|~aElement0(X2)|~aIdeal0(X3)), inference(split_conjunct,[status(thm)],[c_0_49]), ['final']). 0.22/0.43 cnf(c_0_96, plain, (sdtpldt0(X3,sdtpldt0(X1,X2))=sdtpldt0(sdtpldt0(X3,X1),X2)|~aElement0(X1)|~aElement0(X2)|~aElement0(X3)), inference(split_conjunct,[status(thm)],[c_0_50]), ['final']). 0.22/0.43 cnf(c_0_97, plain, (aElement0(esk9_1(X1))|aElementOf0(esk8_1(X1),X1)|aIdeal0(X1)|~aSet0(X1)), inference(split_conjunct,[status(thm)],[c_0_48]), ['final']). 0.22/0.43 cnf(c_0_98, plain, (sz00=X1|X2=sz00|~aElement0(X1)|~aElement0(X2)|sdtasdt0(X1,X2)!=sz00), inference(split_conjunct,[status(thm)],[c_0_51]), ['final']). 0.22/0.43 cnf(c_0_99, plain, (aElementOf0(sdtasdt0(X1,X2),X3)|~aElement0(X1)|~aElementOf0(X2,X3)|~aIdeal0(X3)), inference(split_conjunct,[status(thm)],[c_0_48]), ['final']). 0.22/0.43 cnf(c_0_100, plain, (sdtasdt0(X2,X1)=sdtasdt0(X1,X2)|~aElement0(X1)|~aElement0(X2)), inference(split_conjunct,[status(thm)],[c_0_52]), ['final']). 0.22/0.43 cnf(c_0_101, plain, (aElementOf0(sdtpldt0(X3,X1),X2)|~aElementOf0(X1,X2)|~aElementOf0(X3,X2)|~aIdeal0(X2)), inference(split_conjunct,[status(thm)],[c_0_48]), ['final']). 0.22/0.43 cnf(c_0_102, plain, (sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aElement0(X1)|~aElement0(X2)), inference(split_conjunct,[status(thm)],[c_0_53]), ['final']). 0.22/0.43 cnf(c_0_103, hypothesis, (aElementOf0(sdtasdt0(X1,X2),xJ)|~aElement0(X1)|~aElementOf0(X2,xJ)), inference(split_conjunct,[status(thm)],[c_0_54]), ['final']). 0.22/0.43 cnf(c_0_104, plain, (aElement0(sdtasdt0(X2,X1))|~aElement0(X1)|~aElement0(X2)), inference(split_conjunct,[status(thm)],[c_0_55]), ['final']). 0.22/0.43 cnf(c_0_105, plain, (aIdeal0(sdtasasdt0(X2,X1))|~aIdeal0(X1)|~aIdeal0(X2)), inference(split_conjunct,[status(thm)],[c_0_56]), ['final']). 0.22/0.43 cnf(c_0_106, plain, (aIdeal0(sdtpldt1(X2,X1))|~aIdeal0(X1)|~aIdeal0(X2)), inference(split_conjunct,[status(thm)],[c_0_57]), ['final']). 0.22/0.43 cnf(c_0_107, hypothesis, (sdtpldt0(esk10_1(X1),esk11_1(X1))=X1|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_58]), ['final']). 0.22/0.43 cnf(c_0_108, plain, (aElementOf0(esk7_1(X1),X1)|aIdeal0(X1)|~aSet0(X1)), inference(split_conjunct,[status(thm)],[c_0_48]), ['final']). 0.22/0.43 cnf(c_0_109, hypothesis, (aElementOf0(sdtasdt0(X1,X2),xI)|~aElement0(X1)|~aElementOf0(X2,xI)), inference(split_conjunct,[status(thm)],[c_0_54]), ['final']). 0.22/0.43 cnf(c_0_110, hypothesis, (aElementOf0(sdtpldt0(X2,X1),xJ)|~aElementOf0(X1,xJ)|~aElementOf0(X2,xJ)), inference(split_conjunct,[status(thm)],[c_0_54]), ['final']). 0.22/0.43 cnf(c_0_111, hypothesis, (aElementOf0(sdtpldt0(X2,X1),xI)|~aElementOf0(X1,xI)|~aElementOf0(X2,xI)), inference(split_conjunct,[status(thm)],[c_0_54]), ['final']). 0.22/0.43 cnf(c_0_112, plain, (aElement0(sdtpldt0(X2,X1))|~aElement0(X1)|~aElement0(X2)), inference(split_conjunct,[status(thm)],[c_0_59]), ['final']). 0.22/0.43 cnf(c_0_113, plain, (sdtasdt0(X1,smndt0(sz10))=smndt0(X1)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_60]), ['final']). 0.22/0.43 cnf(c_0_114, plain, (smndt0(X1)=sdtasdt0(smndt0(sz10),X1)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_60]), ['final']). 0.22/0.43 cnf(c_0_115, hypothesis, (aElementOf0(X1,sdtpldt1(xI,xJ))|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_58]), ['final']). 0.22/0.43 cnf(c_0_116, plain, (sdtpldt0(X1,smndt0(X1))=sz00|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_61]), ['final']). 0.22/0.43 cnf(c_0_117, plain, (aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_62]), ['final']). 0.22/0.43 cnf(c_0_118, plain, (sz00=sdtpldt0(smndt0(X1),X1)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_61]), ['final']). 0.22/0.43 cnf(c_0_119, plain, (sdtasdt0(sz10,X1)=X1|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_63]), ['final']). 0.22/0.43 cnf(c_0_120, hypothesis, (aElementOf0(esk11_1(X1),xJ)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_58]), ['final']). 0.22/0.43 cnf(c_0_121, negated_conjecture, (~aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)|~aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_64]), ['final']). 0.22/0.43 cnf(c_0_122, negated_conjecture, (~sdteqdtlpzmzozddtrp0(X1,xy,xJ)|~aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_64]), ['final']). 0.22/0.43 cnf(c_0_123, negated_conjecture, (~aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)|~sdteqdtlpzmzozddtrp0(X1,xx,xI)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_64]), ['final']). 0.22/0.43 cnf(c_0_124, hypothesis, (aElementOf0(esk10_1(X1),xI)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_58]), ['final']). 0.22/0.43 cnf(c_0_125, plain, (sdtpldt0(sz00,X1)=X1|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_65]), ['final']). 0.22/0.43 cnf(c_0_126, plain, (X1=sdtasdt0(X1,sz10)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_63]), ['final']). 0.22/0.43 cnf(c_0_127, plain, (sz00=sdtasdt0(sz00,X1)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_66]), ['final']). 0.22/0.43 cnf(c_0_128, plain, (sz00=sdtasdt0(X1,sz00)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_66]), ['final']). 0.22/0.43 cnf(c_0_129, plain, (sdtpldt0(X1,sz00)=X1|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_65]), ['final']). 0.22/0.43 cnf(c_0_130, negated_conjecture, (~sdteqdtlpzmzozddtrp0(X1,xy,xJ)|~sdteqdtlpzmzozddtrp0(X1,xx,xI)|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_64]), ['final']). 0.22/0.43 cnf(c_0_131, plain, (aElement0(smndt0(X1))|~aElement0(X1)), inference(split_conjunct,[status(thm)],[c_0_67]), ['final']). 0.22/0.43 cnf(c_0_132, plain, (aSet0(X1)|~aIdeal0(X1)), inference(split_conjunct,[status(thm)],[c_0_48]), ['final']). 0.22/0.43 cnf(c_0_133, plain, (sz10!=sz00), inference(split_conjunct,[status(thm)],[mUnNeZr]), ['final']). 0.22/0.43 cnf(c_0_134, hypothesis, (xw=sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb))), inference(split_conjunct,[status(thm)],[m__1319]), ['final']). 0.22/0.43 cnf(c_0_135, hypothesis, (sz10=sdtpldt0(xa,xb)), inference(split_conjunct,[status(thm)],[m__1294]), ['final']). 0.22/0.43 cnf(c_0_136, hypothesis, (aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ)), inference(split_conjunct,[status(thm)],[m__1409]), ['final']). 0.22/0.43 cnf(c_0_137, hypothesis, (aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)), inference(split_conjunct,[status(thm)],[m__1332]), ['final']). 0.22/0.43 cnf(c_0_138, hypothesis, (aElementOf0(xb,xJ)), inference(split_conjunct,[status(thm)],[m__1294]), ['final']). 0.22/0.43 cnf(c_0_139, hypothesis, (aElementOf0(xa,xI)), inference(split_conjunct,[status(thm)],[m__1294]), ['final']). 0.22/0.43 cnf(c_0_140, plain, (aElement0(sz00)), inference(split_conjunct,[status(thm)],[mSortsC]), ['final']). 0.22/0.43 cnf(c_0_141, plain, (aElement0(sz10)), inference(split_conjunct,[status(thm)],[mSortsC_01]), ['final']). 0.22/0.43 cnf(c_0_142, hypothesis, (aIdeal0(xJ)), inference(split_conjunct,[status(thm)],[c_0_54]), ['final']). 0.22/0.43 cnf(c_0_143, hypothesis, (aIdeal0(xI)), inference(split_conjunct,[status(thm)],[c_0_54]), ['final']). 0.22/0.43 cnf(c_0_144, hypothesis, (aSet0(xJ)), inference(split_conjunct,[status(thm)],[c_0_54]), ['final']). 0.22/0.43 cnf(c_0_145, hypothesis, (aSet0(xI)), inference(split_conjunct,[status(thm)],[c_0_54]), ['final']). 0.22/0.43 cnf(c_0_146, hypothesis, (aElement0(xy)), inference(split_conjunct,[status(thm)],[m__1217]), ['final']). 0.22/0.43 cnf(c_0_147, hypothesis, (aElement0(xx)), inference(split_conjunct,[status(thm)],[m__1217]), ['final']). 0.22/0.43 0.22/0.43 # End clausification derivation 0.22/0.43 # Begin listing active clauses obtained from FOF to CNF conversion 0.22/0.43 cnf(i_0_31, hypothesis, (aElement0(xx))). 0.22/0.43 cnf(i_0_30, hypothesis, (aElement0(xy))). 0.22/0.43 cnf(i_0_75, hypothesis, (aSet0(xI))). 0.22/0.43 cnf(i_0_71, hypothesis, (aSet0(xJ))). 0.22/0.43 cnf(i_0_72, hypothesis, (aIdeal0(xI))). 0.22/0.43 cnf(i_0_70, hypothesis, (aIdeal0(xJ))). 0.22/0.43 cnf(i_0_66, plain, (aElement0(sz10))). 0.22/0.43 cnf(i_0_33, plain, (aElement0(sz00))). 0.22/0.43 cnf(i_0_51, hypothesis, (aElementOf0(xa,xI))). 0.22/0.43 cnf(i_0_52, hypothesis, (aElementOf0(xb,xJ))). 0.22/0.43 cnf(i_0_61, hypothesis, (aElementOf0(sdtpldt0(xw,smndt0(xx)),xI))). 0.22/0.43 cnf(i_0_78, hypothesis, (aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ))). 0.22/0.43 cnf(i_0_53, hypothesis, (sdtpldt0(xa,xb)=sz10)). 0.22/0.43 cnf(i_0_67, hypothesis, (sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb))=xw)). 0.22/0.43 cnf(i_0_47, plain, (sz10!=sz00)). 0.22/0.43 cnf(i_0_24, plain, (aSet0(X1)|~aIdeal0(X1))). 0.22/0.43 cnf(i_0_32, plain, (aElement0(smndt0(X1))|~aElement0(X1))). 0.22/0.43 cnf(i_0_55, negated_conjecture, (~sdteqdtlpzmzozddtrp0(X1,xx,xI)|~sdteqdtlpzmzozddtrp0(X1,xy,xJ)|~aElement0(X1))). 0.22/0.43 cnf(i_0_42, plain, (sdtpldt0(X1,sz00)=X1|~aElement0(X1))). 0.22/0.43 cnf(i_0_35, plain, (sdtasdt0(X1,sz00)=sz00|~aElement0(X1))). 0.22/0.43 cnf(i_0_34, plain, (sdtasdt0(sz00,X1)=sz00|~aElement0(X1))). 0.22/0.43 cnf(i_0_28, plain, (sdtasdt0(X1,sz10)=X1|~aElement0(X1))). 0.22/0.43 cnf(i_0_41, plain, (sdtpldt0(sz00,X1)=X1|~aElement0(X1))). 0.22/0.43 cnf(i_0_45, hypothesis, (aElementOf0(esk10_1(X1),xI)|~aElement0(X1))). 0.22/0.43 cnf(i_0_54, negated_conjecture, (~sdteqdtlpzmzozddtrp0(X1,xx,xI)|~aElement0(X1)|~aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ))). 0.22/0.43 cnf(i_0_57, negated_conjecture, (~sdteqdtlpzmzozddtrp0(X1,xy,xJ)|~aElement0(X1)|~aElementOf0(sdtpldt0(X1,smndt0(xx)),xI))). 0.22/0.43 cnf(i_0_56, negated_conjecture, (~aElement0(X1)|~aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)|~aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ))). 0.22/0.43 cnf(i_0_44, hypothesis, (aElementOf0(esk11_1(X1),xJ)|~aElement0(X1))). 0.22/0.43 cnf(i_0_27, plain, (sdtasdt0(sz10,X1)=X1|~aElement0(X1))). 0.22/0.43 cnf(i_0_58, plain, (sdtpldt0(smndt0(X1),X1)=sz00|~aElement0(X1))). 0.22/0.43 cnf(i_0_49, plain, (aElement0(X1)|~aElementOf0(X1,X2)|~aSet0(X2))). 0.22/0.43 cnf(i_0_59, plain, (sdtpldt0(X1,smndt0(X1))=sz00|~aElement0(X1))). 0.22/0.43 cnf(i_0_46, hypothesis, (aElementOf0(X1,sdtpldt1(xI,xJ))|~aElement0(X1))). 0.22/0.43 cnf(i_0_64, plain, (sdtasdt0(smndt0(sz10),X1)=smndt0(X1)|~aElement0(X1))). 0.22/0.43 cnf(i_0_65, plain, (sdtasdt0(X1,smndt0(sz10))=smndt0(X1)|~aElement0(X1))). 0.22/0.43 cnf(i_0_60, plain, (aElement0(sdtpldt0(X1,X2))|~aElement0(X1)|~aElement0(X2))). 0.22/0.43 cnf(i_0_73, hypothesis, (aElementOf0(sdtpldt0(X1,X2),xI)|~aElementOf0(X1,xI)|~aElementOf0(X2,xI))). 0.22/0.43 cnf(i_0_68, hypothesis, (aElementOf0(sdtpldt0(X1,X2),xJ)|~aElementOf0(X1,xJ)|~aElementOf0(X2,xJ))). 0.22/0.43 cnf(i_0_74, hypothesis, (aElementOf0(sdtasdt0(X1,X2),xI)|~aElement0(X1)|~aElementOf0(X2,xI))). 0.22/0.43 cnf(i_0_21, plain, (aIdeal0(X1)|aElementOf0(esk7_1(X1),X1)|~aSet0(X1))). 0.22/0.43 cnf(i_0_43, hypothesis, (sdtpldt0(esk10_1(X1),esk11_1(X1))=X1|~aElement0(X1))). 0.22/0.43 cnf(i_0_40, plain, (aIdeal0(sdtpldt1(X1,X2))|~aIdeal0(X1)|~aIdeal0(X2))). 0.22/0.43 cnf(i_0_76, plain, (aIdeal0(sdtasasdt0(X1,X2))|~aIdeal0(X1)|~aIdeal0(X2))). 0.22/0.43 cnf(i_0_29, plain, (aElement0(sdtasdt0(X1,X2))|~aElement0(X1)|~aElement0(X2))). 0.22/0.43 cnf(i_0_69, hypothesis, (aElementOf0(sdtasdt0(X1,X2),xJ)|~aElement0(X1)|~aElementOf0(X2,xJ))). 0.22/0.43 cnf(i_0_36, plain, (sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aElement0(X2)|~aElement0(X1))). 0.22/0.43 cnf(i_0_23, plain, (aElementOf0(sdtpldt0(X1,X2),X3)|~aIdeal0(X3)|~aElementOf0(X1,X3)|~aElementOf0(X2,X3))). 0.22/0.43 cnf(i_0_63, plain, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aElement0(X2)|~aElement0(X1))). 0.22/0.43 cnf(i_0_22, plain, (aElementOf0(sdtasdt0(X1,X2),X3)|~aElement0(X1)|~aIdeal0(X3)|~aElementOf0(X2,X3))). 0.22/0.43 cnf(i_0_77, plain, (sz00=X1|X2=sz00|sdtasdt0(X1,X2)!=sz00|~aElement0(X2)|~aElement0(X1))). 0.22/0.43 cnf(i_0_20, plain, (aElement0(esk9_1(X1))|aIdeal0(X1)|aElementOf0(esk8_1(X1),X1)|~aSet0(X1))). 0.22/0.43 cnf(i_0_62, plain, (sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aElement0(X1)|~aElement0(X3)|~aElement0(X2))). 0.22/0.43 cnf(i_0_26, plain, (aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)|~sdteqdtlpzmzozddtrp0(X1,X2,X3)|~aElement0(X2)|~aElement0(X1)|~aIdeal0(X3))). 0.22/0.43 cnf(i_0_25, plain, (sdteqdtlpzmzozddtrp0(X1,X2,X3)|~aElement0(X2)|~aElement0(X1)|~aIdeal0(X3)|~aElementOf0(sdtpldt0(X1,smndt0(X2)),X3))). 0.22/0.43 cnf(i_0_18, plain, (aElement0(esk9_1(X1))|aIdeal0(X1)|~aElementOf0(sdtpldt0(esk7_1(X1),esk8_1(X1)),X1)|~aSet0(X1))). 0.22/0.43 cnf(i_0_79, plain, (X1=X2|~aElementOf0(esk12_2(X1,X2),X1)|~aElementOf0(esk13_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 cnf(i_0_82, plain, (X1=X2|aElementOf0(esk13_2(X1,X2),X1)|aElementOf0(esk12_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 cnf(i_0_19, plain, (aIdeal0(X1)|aElementOf0(esk8_1(X1),X1)|~aElementOf0(sdtasdt0(esk9_1(X1),esk7_1(X1)),X1)|~aSet0(X1))). 0.22/0.43 cnf(i_0_17, plain, (aIdeal0(X1)|~aElementOf0(sdtpldt0(esk7_1(X1),esk8_1(X1)),X1)|~aElementOf0(sdtasdt0(esk9_1(X1),esk7_1(X1)),X1)|~aSet0(X1))). 0.22/0.43 cnf(i_0_39, plain, (sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aElement0(X1)|~aElement0(X2)|~aElement0(X3))). 0.22/0.43 cnf(i_0_81, plain, (X1=X2|aElementOf0(esk12_2(X1,X2),X2)|~aElementOf0(esk13_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 cnf(i_0_37, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))). 0.22/0.43 cnf(i_0_38, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))=sdtasdt0(sdtpldt0(X1,X3),X2)|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))). 0.22/0.43 cnf(i_0_80, plain, (X1=X2|aElementOf0(esk13_2(X1,X2),X1)|~aElementOf0(esk12_2(X1,X2),X1)|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 cnf(i_0_3, plain, (X1=sdtpldt1(X2,X3)|aElementOf0(esk4_3(X2,X3,X1),X2)|aElementOf0(esk3_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 0.22/0.43 cnf(i_0_12, plain, (X1=sdtasasdt0(X2,X3)|~aElementOf0(esk6_3(X2,X3,X1),X1)|~aElementOf0(esk6_3(X2,X3,X1),X3)|~aElementOf0(esk6_3(X2,X3,X1),X2)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 0.22/0.43 cnf(i_0_4, plain, (X1=sdtpldt1(X2,X3)|sdtpldt0(X4,X5)!=esk3_3(X2,X3,X1)|~aElementOf0(esk3_3(X2,X3,X1),X1)|~aElementOf0(X5,X3)|~aElementOf0(X4,X2)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 0.22/0.43 cnf(i_0_2, plain, (X1=sdtpldt1(X2,X3)|aElementOf0(esk5_3(X2,X3,X1),X3)|aElementOf0(esk3_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 0.22/0.43 cnf(i_0_10, plain, (X1=sdtasasdt0(X2,X3)|aElementOf0(esk6_3(X2,X3,X1),X3)|aElementOf0(esk6_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 0.22/0.43 cnf(i_0_11, plain, (X1=sdtasasdt0(X2,X3)|aElementOf0(esk6_3(X2,X3,X1),X2)|aElementOf0(esk6_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 0.22/0.43 cnf(i_0_1, plain, (sdtpldt0(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3))=esk3_3(X1,X2,X3)|X3=sdtpldt1(X1,X2)|aElementOf0(esk3_3(X1,X2,X3),X3)|~aSet0(X3)|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 cnf(i_0_9, plain, (aSet0(sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 cnf(i_0_16, plain, (aSet0(sdtasasdt0(X1,X2))|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 cnf(i_0_14, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X3,X2))|~aSet0(X3)|~aSet0(X2))). 0.22/0.43 cnf(i_0_15, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X2,X3))|~aSet0(X3)|~aSet0(X2))). 0.22/0.43 cnf(i_0_13, plain, (aElementOf0(X1,sdtasasdt0(X2,X3))|~aElementOf0(X1,X3)|~aElementOf0(X1,X2)|~aSet0(X3)|~aSet0(X2))). 0.22/0.43 cnf(i_0_5, plain, (aElementOf0(sdtpldt0(X1,X2),sdtpldt1(X3,X4))|~aElementOf0(X2,X4)|~aElementOf0(X1,X3)|~aSet0(X4)|~aSet0(X3))). 0.22/0.43 cnf(i_0_8, plain, (aElementOf0(esk1_4(X1,X2,sdtpldt1(X1,X2),X3),X1)|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 cnf(i_0_7, plain, (aElementOf0(esk2_4(X1,X2,sdtpldt1(X1,X2),X3),X2)|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 cnf(i_0_6, plain, (sdtpldt0(esk1_4(X1,X2,sdtpldt1(X1,X2),X3),esk2_4(X1,X2,sdtpldt1(X1,X2),X3))=X3|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 0.22/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.22/0.43 # Begin printing tableau 0.22/0.43 # 2,0,0,1 x c 0.22/0.43 cnf(i_0_127, plain, (aElement0(xw))). 0.22/0.43 # 1,3,49,0 0.22/0.43 cnf(i_0_93, plain, (~aElement0(xw))). 0.22/0.43 # 0,3,56,0 0.22/0.43 cnf(i_0_56, watchlist, (~aElement0(xw)|~aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)|~aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ))). 0.22/0.43 0.22/0.43 # 2,0,0,0 c s 0.22/0.43 cnf(i_0_128, plain, (~aElementOf0(xw,xI))). 0.22/0.43 # 1,3,49,0 0.22/0.43 cnf(i_0_93, plain, (~aElement0(xw))). 0.22/0.43 # 0,3,56,0 0.22/0.43 cnf(i_0_56, watchlist, (~aElement0(xw)|~aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)|~aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ))). 0.22/0.43 0.22/0.43 # 2,0,0,0 c 0.22/0.43 cnf(i_0_129, plain, (~aSet0(xI))). 0.22/0.43 # 1,3,49,0 0.22/0.43 cnf(i_0_93, plain, (~aElement0(xw))). 0.22/0.43 # 0,3,56,0 0.22/0.43 cnf(i_0_56, watchlist, (~aElement0(xw)|~aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)|~aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ))). 0.22/0.43 0.22/0.43 # 1,0,0,0 c 0.22/0.43 cnf(i_0_94, plain, (~aElementOf0(sdtpldt0(xw,smndt0(xx)),xI))). 0.22/0.43 # 0,3,56,0 0.22/0.43 cnf(i_0_56, watchlist, (~aElement0(xw)|~aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)|~aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ))). 0.22/0.43 0.22/0.43 # 1,0,0,0 c 0.22/0.43 cnf(i_0_95, plain, (~aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ))). 0.22/0.43 # 0,3,56,0 0.22/0.43 cnf(i_0_56, watchlist, (~aElement0(xw)|~aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)|~aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ))). 0.22/0.43 0.22/0.43 # End printing tableau 0.22/0.43 # SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.43 # Branches closed with saturation will be marked with an "s" 0.22/0.43 # Proof search success! 0.22/0.43 # Exiting... 0.22/0.43 EOF