TSTP Solution File: RNG110+1 by Mace4---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Mace4---1109a
% Problem : RNG110+1 : TPTP v6.4.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -t %d -f %s
% Computer : n074.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 8 10:02:19 EST 2017
% Result : CounterSatisfiable 179.30s
% Output : FiniteModel 179.30s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG110+1 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04 % Command : mace4 -t %d -f %s
% 0.03/0.23 % Computer : n074.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.75MB
% 0.03/0.23 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Tue Feb 7 21:35:45 CST 2017
% 0.03/0.23 % CPUTime :
% 179.30/179.38 % SZS status CounterSatisfiable
% 179.30/179.38 ============================== Mace4 =================================
% 179.30/179.38 Mace4 (32) version 2009-11A, November 2009.
% 179.30/179.38 Process 6542 was started by sandbox on n074.star.cs.uiowa.edu,
% 179.30/179.38 Tue Feb 7 21:35:46 2017
% 179.30/179.38 The command was "/export/starexec/sandbox/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_6509_n074.star.cs.uiowa.edu".
% 179.30/179.38 ============================== end of head ===========================
% 179.30/179.38
% 179.30/179.38 ============================== INPUT =================================
% 179.30/179.38
% 179.30/179.38 % Reading from file /tmp/Mace4_input_6509_n074.star.cs.uiowa.edu
% 179.30/179.38
% 179.30/179.38 set(prolog_style_variables).
% 179.30/179.38 set(print_models_tabular).
% 179.30/179.38 % set(print_models_tabular) -> clear(print_models).
% 179.30/179.38
% 179.30/179.38 formulas(sos).
% 179.30/179.38 (all W0 (aElement0(W0) -> $T)) # label(mElmSort) # label(axiom).
% 179.30/179.38 aElement0(sz00) # label(mSortsC) # label(axiom).
% 179.30/179.38 aElement0(sz10) # label(mSortsC_01) # label(axiom).
% 179.30/179.38 (all W0 (aElement0(W0) -> aElement0(smndt0(W0)))) # label(mSortsU) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> aElement0(sdtpldt0(W0,W1)))) # label(mSortsB) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> aElement0(sdtasdt0(W0,W1)))) # label(mSortsB_02) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> sdtpldt0(W0,W1) = sdtpldt0(W1,W0))) # label(mAddComm) # label(axiom).
% 179.30/179.38 (all W0 all W1 all W2 (aElement0(W0) & aElement0(W1) & aElement0(W2) -> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)))) # label(mAddAsso) # label(axiom).
% 179.30/179.38 (all W0 (aElement0(W0) -> sdtpldt0(W0,sz00) = W0 & W0 = sdtpldt0(sz00,W0))) # label(mAddZero) # label(axiom).
% 179.30/179.38 (all W0 (aElement0(W0) -> sdtpldt0(W0,smndt0(W0)) = sz00 & sz00 = sdtpldt0(smndt0(W0),W0))) # label(mAddInvr) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> sdtasdt0(W0,W1) = sdtasdt0(W1,W0))) # label(mMulComm) # label(axiom).
% 179.30/179.38 (all W0 all W1 all W2 (aElement0(W0) & aElement0(W1) & aElement0(W2) -> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)))) # label(mMulAsso) # label(axiom).
% 179.30/179.38 (all W0 (aElement0(W0) -> sdtasdt0(W0,sz10) = W0 & W0 = sdtasdt0(sz10,W0))) # label(mMulUnit) # label(axiom).
% 179.30/179.38 (all W0 all W1 all W2 (aElement0(W0) & aElement0(W1) & aElement0(W2) -> sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)))) # label(mAMDistr) # label(axiom).
% 179.30/179.38 (all W0 (aElement0(W0) -> sdtasdt0(smndt0(sz10),W0) = smndt0(W0) & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)))) # label(mMulMnOne) # label(axiom).
% 179.30/179.38 (all W0 (aElement0(W0) -> sdtasdt0(W0,sz00) = sz00 & sz00 = sdtasdt0(sz00,W0))) # label(mMulZero) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> (sdtasdt0(W0,W1) = sz00 -> W0 = sz00 | W1 = sz00))) # label(mCancel) # label(axiom).
% 179.30/179.38 sz10 != sz00 # label(mUnNeZr) # label(axiom).
% 179.30/179.38 (all W0 (aSet0(W0) -> $T)) # label(mSetSort) # label(axiom).
% 179.30/179.38 (all W0 (aSet0(W0) -> (all W1 (aElementOf0(W1,W0) -> aElement0(W1))))) # label(mEOfElem) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aSet0(W0) & aSet0(W1) -> ((all W2 (aElementOf0(W2,W0) -> aElementOf0(W2,W1))) & (all W2 (aElementOf0(W2,W1) -> aElementOf0(W2,W0))) -> W0 = W1))) # label(mSetEq) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aSet0(W0) & aSet0(W1) -> (all W2 (W2 = sdtpldt1(W0,W1) <-> aSet0(W2) & (all W3 (aElementOf0(W3,W2) <-> (exists W4 exists W5 (aElementOf0(W4,W0) & aElementOf0(W5,W1) & sdtpldt0(W4,W5) = W3)))))))) # label(mDefSSum) # label(definition).
% 179.30/179.38 (all W0 all W1 (aSet0(W0) & aSet0(W1) -> (all W2 (W2 = sdtasasdt0(W0,W1) <-> aSet0(W2) & (all W3 (aElementOf0(W3,W2) <-> aElementOf0(W3,W0) & aElementOf0(W3,W1))))))) # label(mDefSInt) # label(definition).
% 179.30/179.38 (all W0 (aIdeal0(W0) <-> aSet0(W0) & (all W1 (aElementOf0(W1,W0) -> (all W2 (aElementOf0(W2,W0) -> aElementOf0(sdtpldt0(W1,W2),W0))) & (all W2 (aElement0(W2) -> aElementOf0(sdtasdt0(W2,W1),W0))))))) # label(mDefIdeal) # label(definition).
% 179.30/179.38 (all W0 all W1 (aIdeal0(W0) & aIdeal0(W1) -> aIdeal0(sdtpldt1(W0,W1)))) # label(mIdeSum) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aIdeal0(W0) & aIdeal0(W1) -> aIdeal0(sdtasasdt0(W0,W1)))) # label(mIdeInt) # label(axiom).
% 179.30/179.38 (all W0 all W1 all W2 (aElement0(W0) & aElement0(W1) & aIdeal0(W2) -> (sdteqdtlpzmzozddtrp0(W0,W1,W2) <-> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2)))) # label(mDefMod) # label(definition).
% 179.30/179.38 (all W0 all W1 (aIdeal0(W0) & aIdeal0(W1) -> ((all W2 (aElement0(W2) -> aElementOf0(W2,sdtpldt1(W0,W1)))) -> (all W2 all W3 (aElement0(W2) & aElement0(W3) -> (exists W4 (aElement0(W4) & sdteqdtlpzmzozddtrp0(W4,W2,W0) & sdteqdtlpzmzozddtrp0(W4,W3,W1)))))))) # label(mChineseRemainder) # label(axiom).
% 179.30/179.38 (all W0 (aNaturalNumber0(W0) -> $T)) # label(mNatSort) # label(axiom).
% 179.30/179.38 (all W0 (aElement0(W0) & W0 != sz00 -> aNaturalNumber0(sbrdtbr0(W0)))) # label(mEucSort) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aNaturalNumber0(W0) & aNaturalNumber0(W1) -> (iLess0(W0,W1) -> $T))) # label(mNatLess) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aElement0(W0) & aElement0(W1) & W1 != sz00 -> (exists W2 exists W3 (aElement0(W2) & aElement0(W3) & W0 = sdtpldt0(sdtasdt0(W2,W1),W3) & (W3 != sz00 -> iLess0(sbrdtbr0(W3),sbrdtbr0(W1))))))) # label(mDivision) # label(axiom).
% 179.30/179.38 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> (doDivides0(W0,W1) <-> (exists W2 (aElement0(W2) & sdtasdt0(W0,W2) = W1))))) # label(mDefDiv) # label(definition).
% 179.30/179.38 (all W0 (aElement0(W0) -> (all W1 (aDivisorOf0(W1,W0) <-> aElement0(W1) & doDivides0(W1,W0))))) # label(mDefDvs) # label(definition).
% 179.30/179.38 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> (all W2 (aGcdOfAnd0(W2,W0,W1) <-> aDivisorOf0(W2,W0) & aDivisorOf0(W2,W1) & (all W3 (aDivisorOf0(W3,W0) & aDivisorOf0(W3,W1) -> doDivides0(W3,W2))))))) # label(mDefGCD) # label(definition).
% 179.30/179.38 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> (misRelativelyPrime0(W0,W1) <-> aGcdOfAnd0(sz10,W0,W1)))) # label(mDefRel) # label(definition).
% 179.30/179.38 (all W0 (aElement0(W0) -> (all W1 (W1 = slsdtgt0(W0) <-> aSet0(W1) & (all W2 (aElementOf0(W2,W1) <-> (exists W3 (aElement0(W3) & sdtasdt0(W0,W3) = W2)))))))) # label(mDefPrIdeal) # label(definition).
% 179.30/179.38 (all W0 (aElement0(W0) -> aIdeal0(slsdtgt0(W0)))) # label(mPrIdeal) # label(axiom).
% 179.30/179.38 aElement0(xa) # label(m__2091_AndLHS) # label(hypothesis).
% 179.30/179.38 aElement0(xb) # label(m__2091_AndRHS) # label(hypothesis).
% 179.30/179.38 xa != sz00 | xb != sz00 # label(m__2110) # label(hypothesis).
% 179.30/179.38 aGcdOfAnd0(xc,xa,xb) # label(m__2129) # label(hypothesis).
% 179.30/179.38 aIdeal0(xI) # label(m__2174_AndLHS) # label(hypothesis).
% 179.30/179.38 xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) # label(m__2174_AndRHS) # label(hypothesis).
% 179.30/179.38 aElementOf0(sz00,slsdtgt0(xa)) # label(m__2203_AndLHS) # label(hypothesis).
% 179.30/179.38 aElementOf0(xa,slsdtgt0(xa)) # label(m__2203_AndRHS_AndLHS) # label(hypothesis).
% 179.30/179.38 aElementOf0(sz00,slsdtgt0(xb)) # label(m__2203_AndRHS_AndRHS_AndLHS) # label(hypothesis).
% 179.30/179.38 aElementOf0(xb,slsdtgt0(xb)) # label(m__2203_AndRHS_AndRHS_AndRHS) # label(hypothesis).
% 179.30/179.38 (exists W0 (aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) & W0 != sz00)) # label(m__2228) # label(hypothesis).
% 179.30/179.38 -(exists W0 (aElementOf0(W0,xI) & W0 != sz00 & (all W1 (aElementOf0(W1,xI) & W1 != sz00 -> -iLess0(sbrdtbr0(W1),sbrdtbr0(W0)))))) # label(m__) # label(negated_conjecture).
% 179.30/179.38 end_of_list.
% 179.30/179.38
% 179.30/179.38 % From the command line: assign(max_seconds, 300).
% 179.30/179.38
% 179.30/179.38 ============================== end of input ==========================
% 179.30/179.38
% 179.30/179.38 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 179.30/179.38
% 179.30/179.38 % Formulas that are not ordinary clauses:
% 179.30/179.38 1 (all W0 (aElement0(W0) -> $T)) # label(mElmSort) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 2 (all W0 (aElement0(W0) -> aElement0(smndt0(W0)))) # label(mSortsU) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 3 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> aElement0(sdtpldt0(W0,W1)))) # label(mSortsB) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 4 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> aElement0(sdtasdt0(W0,W1)))) # label(mSortsB_02) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 5 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> sdtpldt0(W0,W1) = sdtpldt0(W1,W0))) # label(mAddComm) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 6 (all W0 all W1 all W2 (aElement0(W0) & aElement0(W1) & aElement0(W2) -> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)))) # label(mAddAsso) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 7 (all W0 (aElement0(W0) -> sdtpldt0(W0,sz00) = W0 & W0 = sdtpldt0(sz00,W0))) # label(mAddZero) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 8 (all W0 (aElement0(W0) -> sdtpldt0(W0,smndt0(W0)) = sz00 & sz00 = sdtpldt0(smndt0(W0),W0))) # label(mAddInvr) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 9 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> sdtasdt0(W0,W1) = sdtasdt0(W1,W0))) # label(mMulComm) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 10 (all W0 all W1 all W2 (aElement0(W0) & aElement0(W1) & aElement0(W2) -> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)))) # label(mMulAsso) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 11 (all W0 (aElement0(W0) -> sdtasdt0(W0,sz10) = W0 & W0 = sdtasdt0(sz10,W0))) # label(mMulUnit) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 12 (all W0 all W1 all W2 (aElement0(W0) & aElement0(W1) & aElement0(W2) -> sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)))) # label(mAMDistr) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 13 (all W0 (aElement0(W0) -> sdtasdt0(smndt0(sz10),W0) = smndt0(W0) & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)))) # label(mMulMnOne) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 14 (all W0 (aElement0(W0) -> sdtasdt0(W0,sz00) = sz00 & sz00 = sdtasdt0(sz00,W0))) # label(mMulZero) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 15 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> (sdtasdt0(W0,W1) = sz00 -> W0 = sz00 | W1 = sz00))) # label(mCancel) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 16 (all W0 (aSet0(W0) -> $T)) # label(mSetSort) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 17 (all W0 (aSet0(W0) -> (all W1 (aElementOf0(W1,W0) -> aElement0(W1))))) # label(mEOfElem) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 18 (all W0 all W1 (aSet0(W0) & aSet0(W1) -> ((all W2 (aElementOf0(W2,W0) -> aElementOf0(W2,W1))) & (all W2 (aElementOf0(W2,W1) -> aElementOf0(W2,W0))) -> W0 = W1))) # label(mSetEq) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 19 (all W0 all W1 (aSet0(W0) & aSet0(W1) -> (all W2 (W2 = sdtpldt1(W0,W1) <-> aSet0(W2) & (all W3 (aElementOf0(W3,W2) <-> (exists W4 exists W5 (aElementOf0(W4,W0) & aElementOf0(W5,W1) & sdtpldt0(W4,W5) = W3)))))))) # label(mDefSSum) # label(definition) # label(non_clause). [assumption].
% 179.30/179.38 20 (all W0 all W1 (aSet0(W0) & aSet0(W1) -> (all W2 (W2 = sdtasasdt0(W0,W1) <-> aSet0(W2) & (all W3 (aElementOf0(W3,W2) <-> aElementOf0(W3,W0) & aElementOf0(W3,W1))))))) # label(mDefSInt) # label(definition) # label(non_clause). [assumption].
% 179.30/179.38 21 (all W0 (aIdeal0(W0) <-> aSet0(W0) & (all W1 (aElementOf0(W1,W0) -> (all W2 (aElementOf0(W2,W0) -> aElementOf0(sdtpldt0(W1,W2),W0))) & (all W2 (aElement0(W2) -> aElementOf0(sdtasdt0(W2,W1),W0))))))) # label(mDefIdeal) # label(definition) # label(non_clause). [assumption].
% 179.30/179.38 22 (all W0 all W1 (aIdeal0(W0) & aIdeal0(W1) -> aIdeal0(sdtpldt1(W0,W1)))) # label(mIdeSum) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 23 (all W0 all W1 (aIdeal0(W0) & aIdeal0(W1) -> aIdeal0(sdtasasdt0(W0,W1)))) # label(mIdeInt) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 24 (all W0 all W1 all W2 (aElement0(W0) & aElement0(W1) & aIdeal0(W2) -> (sdteqdtlpzmzozddtrp0(W0,W1,W2) <-> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2)))) # label(mDefMod) # label(definition) # label(non_clause). [assumption].
% 179.30/179.38 25 (all W0 all W1 (aIdeal0(W0) & aIdeal0(W1) -> ((all W2 (aElement0(W2) -> aElementOf0(W2,sdtpldt1(W0,W1)))) -> (all W2 all W3 (aElement0(W2) & aElement0(W3) -> (exists W4 (aElement0(W4) & sdteqdtlpzmzozddtrp0(W4,W2,W0) & sdteqdtlpzmzozddtrp0(W4,W3,W1)))))))) # label(mChineseRemainder) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 26 (all W0 (aNaturalNumber0(W0) -> $T)) # label(mNatSort) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 27 (all W0 (aElement0(W0) & W0 != sz00 -> aNaturalNumber0(sbrdtbr0(W0)))) # label(mEucSort) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 28 (all W0 all W1 (aNaturalNumber0(W0) & aNaturalNumber0(W1) -> (iLess0(W0,W1) -> $T))) # label(mNatLess) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 29 (all W0 all W1 (aElement0(W0) & aElement0(W1) & W1 != sz00 -> (exists W2 exists W3 (aElement0(W2) & aElement0(W3) & W0 = sdtpldt0(sdtasdt0(W2,W1),W3) & (W3 != sz00 -> iLess0(sbrdtbr0(W3),sbrdtbr0(W1))))))) # label(mDivision) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 30 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> (doDivides0(W0,W1) <-> (exists W2 (aElement0(W2) & sdtasdt0(W0,W2) = W1))))) # label(mDefDiv) # label(definition) # label(non_clause). [assumption].
% 179.30/179.38 31 (all W0 (aElement0(W0) -> (all W1 (aDivisorOf0(W1,W0) <-> aElement0(W1) & doDivides0(W1,W0))))) # label(mDefDvs) # label(definition) # label(non_clause). [assumption].
% 179.30/179.38 32 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> (all W2 (aGcdOfAnd0(W2,W0,W1) <-> aDivisorOf0(W2,W0) & aDivisorOf0(W2,W1) & (all W3 (aDivisorOf0(W3,W0) & aDivisorOf0(W3,W1) -> doDivides0(W3,W2))))))) # label(mDefGCD) # label(definition) # label(non_clause). [assumption].
% 179.30/179.38 33 (all W0 all W1 (aElement0(W0) & aElement0(W1) -> (misRelativelyPrime0(W0,W1) <-> aGcdOfAnd0(sz10,W0,W1)))) # label(mDefRel) # label(definition) # label(non_clause). [assumption].
% 179.30/179.38 34 (all W0 (aElement0(W0) -> (all W1 (W1 = slsdtgt0(W0) <-> aSet0(W1) & (all W2 (aElementOf0(W2,W1) <-> (exists W3 (aElement0(W3) & sdtasdt0(W0,W3) = W2)))))))) # label(mDefPrIdeal) # label(definition) # label(non_clause). [assumption].
% 179.30/179.38 35 (all W0 (aElement0(W0) -> aIdeal0(slsdtgt0(W0)))) # label(mPrIdeal) # label(axiom) # label(non_clause). [assumption].
% 179.30/179.38 36 (exists W0 (aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) & W0 != sz00)) # label(m__2228) # label(hypothesis) # label(non_clause). [assumption].
% 179.30/179.38 37 -(exists W0 (aElementOf0(W0,xI) & W0 != sz00 & (all W1 (aElementOf0(W1,xI) & W1 != sz00 -> -iLess0(sbrdtbr0(W1),sbrdtbr0(W0)))))) # label(m__) # label(negated_conjecture) # label(non_clause). [assumption].
% 179.30/179.38
% 179.30/179.38 ============================== end of process non-clausal formulas ===
% 179.30/179.38
% 179.30/179.38 ============================== CLAUSES FOR SEARCH ====================
% 179.30/179.38
% 179.30/179.38 formulas(mace4_clauses).
% 179.30/179.38 aElement0(sz00) # label(mSortsC) # label(axiom).
% 179.30/179.38 aElement0(sz10) # label(mSortsC_01) # label(axiom).
% 179.30/179.38 -aElement0(A) | aElement0(smndt0(A)) # label(mSortsU) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | aElement0(sdtpldt0(A,B)) # label(mSortsB) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | aElement0(sdtasdt0(A,B)) # label(mSortsB_02) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | sdtpldt0(B,A) = sdtpldt0(A,B) # label(mAddComm) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -aElement0(C) | sdtpldt0(sdtpldt0(A,B),C) = sdtpldt0(A,sdtpldt0(B,C)) # label(mAddAsso) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtpldt0(A,sz00) = A # label(mAddZero) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtpldt0(sz00,A) = A # label(mAddZero) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtpldt0(A,smndt0(A)) = sz00 # label(mAddInvr) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtpldt0(smndt0(A),A) = sz00 # label(mAddInvr) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | sdtasdt0(B,A) = sdtasdt0(A,B) # label(mMulComm) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -aElement0(C) | sdtasdt0(sdtasdt0(A,B),C) = sdtasdt0(A,sdtasdt0(B,C)) # label(mMulAsso) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtasdt0(A,sz10) = A # label(mMulUnit) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtasdt0(sz10,A) = A # label(mMulUnit) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -aElement0(C) | sdtasdt0(A,sdtpldt0(B,C)) = sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C)) # label(mAMDistr) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -aElement0(C) | sdtasdt0(sdtpldt0(B,C),A) = sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A)) # label(mAMDistr) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtasdt0(smndt0(sz10),A) = smndt0(A) # label(mMulMnOne) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtasdt0(A,smndt0(sz10)) = smndt0(A) # label(mMulMnOne) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtasdt0(A,sz00) = sz00 # label(mMulZero) # label(axiom).
% 179.30/179.38 -aElement0(A) | sdtasdt0(sz00,A) = sz00 # label(mMulZero) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | sdtasdt0(A,B) != sz00 | sz00 = A | B = sz00 # label(mCancel) # label(axiom).
% 179.30/179.38 sz10 != sz00 # label(mUnNeZr) # label(axiom).
% 179.30/179.38 -aSet0(A) | -aElementOf0(B,A) | aElement0(B) # label(mEOfElem) # label(axiom).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | aElementOf0(f1(A,B),A) | aElementOf0(f2(A,B),B) | B = A # label(mSetEq) # label(axiom).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | aElementOf0(f1(A,B),A) | -aElementOf0(f2(A,B),A) | B = A # label(mSetEq) # label(axiom).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | -aElementOf0(f1(A,B),B) | aElementOf0(f2(A,B),B) | B = A # label(mSetEq) # label(axiom).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | -aElementOf0(f1(A,B),B) | -aElementOf0(f2(A,B),A) | B = A # label(mSetEq) # label(axiom).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtpldt1(A,B) != C | aSet0(C) # label(mDefSSum) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtpldt1(A,B) != C | -aElementOf0(D,C) | aElementOf0(f3(A,B,C,D),A) # label(mDefSSum) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtpldt1(A,B) != C | -aElementOf0(D,C) | aElementOf0(f4(A,B,C,D),B) # label(mDefSSum) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtpldt1(A,B) != C | -aElementOf0(D,C) | sdtpldt0(f3(A,B,C,D),f4(A,B,C,D)) = D # label(mDefSSum) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtpldt1(A,B) != C | aElementOf0(D,C) | -aElementOf0(E,A) | -aElementOf0(F,B) | sdtpldt0(E,F) != D # label(mDefSSum) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtpldt1(A,B) = C | -aSet0(C) | aElementOf0(f5(A,B,C),C) | aElementOf0(f6(A,B,C),A) # label(mDefSSum) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtpldt1(A,B) = C | -aSet0(C) | aElementOf0(f5(A,B,C),C) | aElementOf0(f7(A,B,C),B) # label(mDefSSum) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtpldt1(A,B) = C | -aSet0(C) | aElementOf0(f5(A,B,C),C) | sdtpldt0(f6(A,B,C),f7(A,B,C)) = f5(A,B,C) # label(mDefSSum) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtpldt1(A,B) = C | -aSet0(C) | -aElementOf0(f5(A,B,C),C) | -aElementOf0(D,A) | -aElementOf0(E,B) | sdtpldt0(D,E) != f5(A,B,C) # label(mDefSSum) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtasasdt0(A,B) != C | aSet0(C) # label(mDefSInt) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtasasdt0(A,B) != C | -aElementOf0(D,C) | aElementOf0(D,A) # label(mDefSInt) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtasasdt0(A,B) != C | -aElementOf0(D,C) | aElementOf0(D,B) # label(mDefSInt) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtasasdt0(A,B) != C | aElementOf0(D,C) | -aElementOf0(D,A) | -aElementOf0(D,B) # label(mDefSInt) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtasasdt0(A,B) = C | -aSet0(C) | aElementOf0(f8(A,B,C),C) | aElementOf0(f8(A,B,C),A) # label(mDefSInt) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtasasdt0(A,B) = C | -aSet0(C) | aElementOf0(f8(A,B,C),C) | aElementOf0(f8(A,B,C),B) # label(mDefSInt) # label(definition).
% 179.30/179.38 -aSet0(A) | -aSet0(B) | sdtasasdt0(A,B) = C | -aSet0(C) | -aElementOf0(f8(A,B,C),C) | -aElementOf0(f8(A,B,C),A) | -aElementOf0(f8(A,B,C),B) # label(mDefSInt) # label(definition).
% 179.30/179.38 -aIdeal0(A) | aSet0(A) # label(mDefIdeal) # label(definition).
% 179.30/179.38 -aIdeal0(A) | -aElementOf0(B,A) | -aElementOf0(C,A) | aElementOf0(sdtpldt0(B,C),A) # label(mDefIdeal) # label(definition).
% 179.30/179.38 -aIdeal0(A) | -aElementOf0(B,A) | -aElement0(C) | aElementOf0(sdtasdt0(C,B),A) # label(mDefIdeal) # label(definition).
% 179.30/179.38 aIdeal0(A) | -aSet0(A) | aElementOf0(f9(A),A) # label(mDefIdeal) # label(definition).
% 179.30/179.38 aIdeal0(A) | -aSet0(A) | aElementOf0(f10(A),A) | aElement0(f11(A)) # label(mDefIdeal) # label(definition).
% 179.30/179.38 aIdeal0(A) | -aSet0(A) | aElementOf0(f10(A),A) | -aElementOf0(sdtasdt0(f11(A),f9(A)),A) # label(mDefIdeal) # label(definition).
% 179.30/179.38 aIdeal0(A) | -aSet0(A) | -aElementOf0(sdtpldt0(f9(A),f10(A)),A) | aElement0(f11(A)) # label(mDefIdeal) # label(definition).
% 179.30/179.38 aIdeal0(A) | -aSet0(A) | -aElementOf0(sdtpldt0(f9(A),f10(A)),A) | -aElementOf0(sdtasdt0(f11(A),f9(A)),A) # label(mDefIdeal) # label(definition).
% 179.30/179.38 -aIdeal0(A) | -aIdeal0(B) | aIdeal0(sdtpldt1(A,B)) # label(mIdeSum) # label(axiom).
% 179.30/179.38 -aIdeal0(A) | -aIdeal0(B) | aIdeal0(sdtasasdt0(A,B)) # label(mIdeInt) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -aIdeal0(C) | -sdteqdtlpzmzozddtrp0(A,B,C) | aElementOf0(sdtpldt0(A,smndt0(B)),C) # label(mDefMod) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -aIdeal0(C) | sdteqdtlpzmzozddtrp0(A,B,C) | -aElementOf0(sdtpldt0(A,smndt0(B)),C) # label(mDefMod) # label(definition).
% 179.30/179.38 -aIdeal0(A) | -aIdeal0(B) | aElement0(f12(A,B)) | -aElement0(C) | -aElement0(D) | aElement0(f13(A,B,C,D)) # label(mChineseRemainder) # label(axiom).
% 179.30/179.38 -aIdeal0(A) | -aIdeal0(B) | aElement0(f12(A,B)) | -aElement0(C) | -aElement0(D) | sdteqdtlpzmzozddtrp0(f13(A,B,C,D),C,A) # label(mChineseRemainder) # label(axiom).
% 179.30/179.38 -aIdeal0(A) | -aIdeal0(B) | aElement0(f12(A,B)) | -aElement0(C) | -aElement0(D) | sdteqdtlpzmzozddtrp0(f13(A,B,C,D),D,B) # label(mChineseRemainder) # label(axiom).
% 179.30/179.38 -aIdeal0(A) | -aIdeal0(B) | -aElementOf0(f12(A,B),sdtpldt1(A,B)) | -aElement0(C) | -aElement0(D) | aElement0(f13(A,B,C,D)) # label(mChineseRemainder) # label(axiom).
% 179.30/179.38 -aIdeal0(A) | -aIdeal0(B) | -aElementOf0(f12(A,B),sdtpldt1(A,B)) | -aElement0(C) | -aElement0(D) | sdteqdtlpzmzozddtrp0(f13(A,B,C,D),C,A) # label(mChineseRemainder) # label(axiom).
% 179.30/179.38 -aIdeal0(A) | -aIdeal0(B) | -aElementOf0(f12(A,B),sdtpldt1(A,B)) | -aElement0(C) | -aElement0(D) | sdteqdtlpzmzozddtrp0(f13(A,B,C,D),D,B) # label(mChineseRemainder) # label(axiom).
% 179.30/179.38 -aElement0(A) | sz00 = A | aNaturalNumber0(sbrdtbr0(A)) # label(mEucSort) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | B = sz00 | aElement0(f14(A,B)) # label(mDivision) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | B = sz00 | aElement0(f15(A,B)) # label(mDivision) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | B = sz00 | sdtpldt0(sdtasdt0(f14(A,B),B),f15(A,B)) = A # label(mDivision) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | B = sz00 | f15(A,B) = sz00 | iLess0(sbrdtbr0(f15(A,B)),sbrdtbr0(B)) # label(mDivision) # label(axiom).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -doDivides0(A,B) | aElement0(f16(A,B)) # label(mDefDiv) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -doDivides0(A,B) | sdtasdt0(A,f16(A,B)) = B # label(mDefDiv) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | doDivides0(A,B) | -aElement0(C) | sdtasdt0(A,C) != B # label(mDefDiv) # label(definition).
% 179.30/179.38 -aElement0(A) | -aDivisorOf0(B,A) | aElement0(B) # label(mDefDvs) # label(definition).
% 179.30/179.38 -aElement0(A) | -aDivisorOf0(B,A) | doDivides0(B,A) # label(mDefDvs) # label(definition).
% 179.30/179.38 -aElement0(A) | aDivisorOf0(B,A) | -aElement0(B) | -doDivides0(B,A) # label(mDefDvs) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -aGcdOfAnd0(C,A,B) | aDivisorOf0(C,A) # label(mDefGCD) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -aGcdOfAnd0(C,A,B) | aDivisorOf0(C,B) # label(mDefGCD) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -aGcdOfAnd0(C,A,B) | -aDivisorOf0(D,A) | -aDivisorOf0(D,B) | doDivides0(D,C) # label(mDefGCD) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | aGcdOfAnd0(C,A,B) | -aDivisorOf0(C,A) | -aDivisorOf0(C,B) | aDivisorOf0(f17(A,B,C),A) # label(mDefGCD) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | aGcdOfAnd0(C,A,B) | -aDivisorOf0(C,A) | -aDivisorOf0(C,B) | aDivisorOf0(f17(A,B,C),B) # label(mDefGCD) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | aGcdOfAnd0(C,A,B) | -aDivisorOf0(C,A) | -aDivisorOf0(C,B) | -doDivides0(f17(A,B,C),C) # label(mDefGCD) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | -misRelativelyPrime0(A,B) | aGcdOfAnd0(sz10,A,B) # label(mDefRel) # label(definition).
% 179.30/179.38 -aElement0(A) | -aElement0(B) | misRelativelyPrime0(A,B) | -aGcdOfAnd0(sz10,A,B) # label(mDefRel) # label(definition).
% 179.30/179.38 -aElement0(A) | slsdtgt0(A) != B | aSet0(B) # label(mDefPrIdeal) # label(definition).
% 179.30/179.38 -aElement0(A) | slsdtgt0(A) != B | -aElementOf0(C,B) | aElement0(f18(A,B,C)) # label(mDefPrIdeal) # label(definition).
% 179.30/179.38 -aElement0(A) | slsdtgt0(A) != B | -aElementOf0(C,B) | sdtasdt0(A,f18(A,B,C)) = C # label(mDefPrIdeal) # label(definition).
% 179.30/179.38 -aElement0(A) | slsdtgt0(A) != B | aElementOf0(C,B) | -aElement0(D) | sdtasdt0(A,D) != C # label(mDefPrIdeal) # label(definition).
% 179.30/179.38 -aElement0(A) | slsdtgt0(A) = B | -aSet0(B) | aElementOf0(f19(A,B),B) | aElement0(f20(A,B)) # label(mDefPrIdeal) # label(definition).
% 179.30/179.38 -aElement0(A) | slsdtgt0(A) = B | -aSet0(B) | aElementOf0(f19(A,B),B) | sdtasdt0(A,f20(A,B)) = f19(A,B) # label(mDefPrIdeal) # label(definition).
% 179.30/179.38 -aElement0(A) | slsdtgt0(A) = B | -aSet0(B) | -aElementOf0(f19(A,B),B) | -aElement0(C) | sdtasdt0(A,C) != f19(A,B) # label(mDefPrIdeal) # label(definition).
% 179.30/179.38 -aElement0(A) | aIdeal0(slsdtgt0(A)) # label(mPrIdeal) # label(axiom).
% 179.30/179.38 aElement0(xa) # label(m__2091_AndLHS) # label(hypothesis).
% 179.30/179.38 aElement0(xb) # label(m__2091_AndRHS) # label(hypothesis).
% 179.30/179.38 xa != sz00 | xb != sz00 # label(m__2110) # label(hypothesis).
% 179.30/179.38 aGcdOfAnd0(xc,xa,xb) # label(m__2129) # label(hypothesis).
% 179.30/179.38 aIdeal0(xI) # label(m__2174_AndLHS) # label(hypothesis).
% 179.30/179.38 xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) # label(m__2174_AndRHS) # label(hypothesis).
% 179.30/179.38 aElementOf0(sz00,slsdtgt0(xa)) # label(m__2203_AndLHS) # label(hypothesis).
% 179.30/179.38 aElementOf0(xa,slsdtgt0(xa)) # label(m__2203_AndRHS_AndLHS) # label(hypothesis).
% 179.30/179.38 aElementOf0(sz00,slsdtgt0(xb)) # label(m__2203_AndRHS_AndRHS_AndLHS) # label(hypothesis).
% 179.30/179.38 aElementOf0(xb,slsdtgt0(xb)) # label(m__2203_AndRHS_AndRHS_AndRHS) # label(hypothesis).
% 179.30/179.38 aElementOf0(c1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) # label(m__2228) # label(hypothesis).
% 179.30/179.38 sz00 != c1 # label(m__2228) # label(hypothesis).
% 179.30/179.38 -aElementOf0(A,xI) | sz00 = A | aElementOf0(f21(A),xI) # label(m__) # label(negated_conjecture).
% 179.30/179.38 -aElementOf0(A,xI) | sz00 = A | f21(A) != sz00 # label(m__) # label(negated_conjecture).
% 179.30/179.38 -aElementOf0(A,xI) | sz00 = A | iLess0(sbrdtbr0(f21(A)),sbrdtbr0(A)) # label(m__) # label(negated_conjecture).
% 179.30/179.38 end_of_list.
% 179.30/179.38
% 179.30/179.38 ============================== end of clauses for search =============
% 179.30/179.38 % SZS output start FiniteModel
% 179.30/179.38
% 179.30/179.38 % There are no natural numbers in the input.
% 179.30/179.38
% 179.30/179.38 sz00 : 0
% 179.30/179.38
% 179.30/179.38 sz10 : 1
% 179.30/179.38
% 179.30/179.38 xI : 0
% 179.30/179.38
% 179.30/179.38 xa : 0
% 179.30/179.38
% 179.30/179.38 xb : 1
% 179.30/179.38
% 179.30/179.38 xc : 1
% 179.30/179.38
% 179.30/179.38 c1 : 1
% 179.30/179.38
% 179.30/179.38 sbrdtbr0 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 0 1
% 179.30/179.38
% 179.30/179.38 slsdtgt0 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 1 0
% 179.30/179.38
% 179.30/179.38 smndt0 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 0 1
% 179.30/179.38
% 179.30/179.38 f9 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 0 0
% 179.30/179.38
% 179.30/179.38 f10 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 0 0
% 179.30/179.38
% 179.30/179.38 f11 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 0 0
% 179.30/179.38
% 179.30/179.38 f21 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 0 1
% 179.30/179.38
% 179.30/179.38 sdtasasdt0 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 1
% 179.30/179.38 1 | 1 1
% 179.30/179.38
% 179.30/179.38 sdtasdt0 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 0
% 179.30/179.38 1 | 0 1
% 179.30/179.38
% 179.30/179.38 sdtpldt0 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 1
% 179.30/179.38 1 | 1 0
% 179.30/179.38
% 179.30/179.38 sdtpldt1 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 0
% 179.30/179.38 1 | 0 1
% 179.30/179.38
% 179.30/179.38 f1 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 1
% 179.30/179.38 1 | 0 0
% 179.30/179.38
% 179.30/179.38 f2 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 0
% 179.30/179.38 1 | 1 0
% 179.30/179.38
% 179.30/179.38 f12 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 0
% 179.30/179.38 1 | 0 1
% 179.30/179.38
% 179.30/179.38 f14 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 0
% 179.30/179.38 1 | 0 0
% 179.30/179.38
% 179.30/179.38 f15 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 0
% 179.30/179.38 1 | 0 1
% 179.30/179.38
% 179.30/179.38 f16 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 0
% 179.30/179.38 1 | 0 1
% 179.30/179.38
% 179.30/179.38 f19 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 1 0
% 179.30/179.38 1 | 0 1
% 179.30/179.38
% 179.30/179.38 f20 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 0
% 179.30/179.38 1 | 0 1
% 179.30/179.38 f5(0,0,0) = 0.
% 179.30/179.38 f5(0,0,1) = 1.
% 179.30/179.38 f5(0,1,0) = 0.
% 179.30/179.38 f5(0,1,1) = 1.
% 179.30/179.38 f5(1,0,0) = 0.
% 179.30/179.38 f5(1,0,1) = 1.
% 179.30/179.38 f5(1,1,0) = 1.
% 179.30/179.38 f5(1,1,1) = 0.
% 179.30/179.38 f6(0,0,0) = 0.
% 179.30/179.38 f6(0,0,1) = 0.
% 179.30/179.38 f6(0,1,0) = 0.
% 179.30/179.38 f6(0,1,1) = 1.
% 179.30/179.38 f6(1,0,0) = 0.
% 179.30/179.38 f6(1,0,1) = 0.
% 179.30/179.38 f6(1,1,0) = 0.
% 179.30/179.38 f6(1,1,1) = 0.
% 179.30/179.38 f7(0,0,0) = 0.
% 179.30/179.38 f7(0,0,1) = 1.
% 179.30/179.38 f7(0,1,0) = 0.
% 179.30/179.38 f7(0,1,1) = 0.
% 179.30/179.38 f7(1,0,0) = 0.
% 179.30/179.38 f7(1,0,1) = 1.
% 179.30/179.38 f7(1,1,0) = 0.
% 179.30/179.38 f7(1,1,1) = 0.
% 179.30/179.38 f8(0,0,0) = 0.
% 179.30/179.38 f8(0,0,1) = 1.
% 179.30/179.38 f8(0,1,0) = 1.
% 179.30/179.38 f8(0,1,1) = 0.
% 179.30/179.38 f8(1,0,0) = 1.
% 179.30/179.38 f8(1,0,1) = 0.
% 179.30/179.38 f8(1,1,0) = 1.
% 179.30/179.38 f8(1,1,1) = 0.
% 179.30/179.38 f17(0,0,0) = 0.
% 179.30/179.38 f17(0,0,1) = 0.
% 179.30/179.38 f17(0,1,0) = 0.
% 179.30/179.38 f17(0,1,1) = 0.
% 179.30/179.38 f17(1,0,0) = 0.
% 179.30/179.38 f17(1,0,1) = 0.
% 179.30/179.38 f17(1,1,0) = 0.
% 179.30/179.38 f17(1,1,1) = 0.
% 179.30/179.38 f18(0,0,0) = 0.
% 179.30/179.38 f18(0,0,1) = 0.
% 179.30/179.38 f18(0,1,0) = 0.
% 179.30/179.38 f18(0,1,1) = 0.
% 179.30/179.38 f18(1,0,0) = 0.
% 179.30/179.38 f18(1,0,1) = 1.
% 179.30/179.38 f18(1,1,0) = 0.
% 179.30/179.38 f18(1,1,1) = 0.
% 179.30/179.38 f3(0,0,0,0) = 0.
% 179.30/179.38 f3(0,0,0,1) = 0.
% 179.30/179.38 f3(0,0,1,0) = 0.
% 179.30/179.38 f3(0,0,1,1) = 0.
% 179.30/179.38 f3(0,1,0,0) = 0.
% 179.30/179.38 f3(0,1,0,1) = 1.
% 179.30/179.38 f3(0,1,1,0) = 0.
% 179.30/179.38 f3(0,1,1,1) = 0.
% 179.30/179.38 f3(1,0,0,0) = 0.
% 179.30/179.38 f3(1,0,0,1) = 0.
% 179.30/179.38 f3(1,0,1,0) = 0.
% 179.30/179.38 f3(1,0,1,1) = 0.
% 179.30/179.38 f3(1,1,0,0) = 0.
% 179.30/179.38 f3(1,1,0,1) = 0.
% 179.30/179.38 f3(1,1,1,0) = 0.
% 179.30/179.38 f3(1,1,1,1) = 0.
% 179.30/179.38 f4(0,0,0,0) = 0.
% 179.30/179.38 f4(0,0,0,1) = 1.
% 179.30/179.38 f4(0,0,1,0) = 0.
% 179.30/179.38 f4(0,0,1,1) = 0.
% 179.30/179.38 f4(0,1,0,0) = 0.
% 179.30/179.38 f4(0,1,0,1) = 0.
% 179.30/179.38 f4(0,1,1,0) = 0.
% 179.30/179.38 f4(0,1,1,1) = 0.
% 179.30/179.38 f4(1,0,0,0) = 0.
% 179.30/179.38 f4(1,0,0,1) = 1.
% 179.30/179.38 f4(1,0,1,0) = 0.
% 179.30/179.38 f4(1,0,1,1) = 0.
% 179.30/179.38 f4(1,1,0,0) = 0.
% 179.30/179.38 f4(1,1,0,1) = 0.
% 179.30/179.38 f4(1,1,1,0) = 0.
% 179.30/179.38 f4(1,1,1,1) = 0.
% 179.30/179.38 f13(0,0,0,0) = 0.
% 179.30/179.38 f13(0,0,0,1) = 0.
% 179.30/179.38 f13(0,0,1,0) = 0.
% 179.30/179.38 f13(0,0,1,1) = 0.
% 179.30/179.38 f13(0,1,0,0) = 0.
% 179.30/179.38 f13(0,1,0,1) = 1.
% 179.30/179.38 f13(0,1,1,0) = 0.
% 179.30/179.38 f13(0,1,1,1) = 1.
% 179.30/179.38 f13(1,0,0,0) = 0.
% 179.30/179.38 f13(1,0,0,1) = 0.
% 179.30/179.38 f13(1,0,1,0) = 1.
% 179.30/179.38 f13(1,0,1,1) = 1.
% 179.30/179.38 f13(1,1,0,0) = 0.
% 179.30/179.38 f13(1,1,0,1) = 0.
% 179.30/179.38 f13(1,1,1,0) = 0.
% 179.30/179.38 f13(1,1,1,1) = 0.
% 179.30/179.38
% 179.30/179.38 aElement0 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 1 1
% 179.30/179.38
% 179.30/179.38 aIdeal0 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 1 1
% 179.30/179.38
% 179.30/179.38 aNaturalNumber0 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 0 1
% 179.30/179.38
% 179.30/179.38 aSet0 :
% 179.30/179.38 0 1
% 179.30/179.38 -------
% 179.30/179.38 1 1
% 179.30/179.38
% 179.30/179.38 aDivisorOf0 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 1 0
% 179.30/179.38 1 | 1 1
% 179.30/179.38
% 179.30/179.38 aElementOf0 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 1 1
% 179.30/179.38 1 | 1 0
% 179.30/179.38
% 179.30/179.38 doDivides0 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 1 0
% 179.30/179.38 1 | 1 1
% 179.30/179.38
% 179.30/179.38 iLess0 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 0
% 179.30/179.38 1 | 0 1
% 179.30/179.38
% 179.30/179.38 misRelativelyPrime0 :
% 179.30/179.38 | 0 1
% 179.30/179.38 --+----
% 179.30/179.38 0 | 0 1
% 179.30/179.38 1 | 1 1
% 179.30/179.38 aGcdOfAnd0(0,0,0) = 1.
% 179.30/179.38 aGcdOfAnd0(0,0,1) = 0.
% 179.30/179.38 aGcdOfAnd0(0,1,0) = 0.
% 179.30/179.38 aGcdOfAnd0(0,1,1) = 0.
% 179.30/179.38 aGcdOfAnd0(1,0,0) = 0.
% 179.30/179.38 aGcdOfAnd0(1,0,1) = 1.
% 179.30/179.38 aGcdOfAnd0(1,1,0) = 1.
% 179.30/179.38 aGcdOfAnd0(1,1,1) = 1.
% 179.30/179.38 sdteqdtlpzmzozddtrp0(0,0,0) = 1.
% 179.30/179.38 sdteqdtlpzmzozddtrp0(0,0,1) = 1.
% 179.30/179.38 sdteqdtlpzmzozddtrp0(0,1,0) = 1.
% 179.30/179.38 sdteqdtlpzmzozddtrp0(0,1,1) = 0.
% 179.30/179.38 sdteqdtlpzmzozddtrp0(1,0,0) = 1.
% 179.30/179.38 sdteqdtlpzmzozddtrp0(1,0,1) = 0.
% 179.30/179.38 sdteqdtlpzmzozddtrp0(1,1,0) = 1.
% 179.30/179.38 sdteqdtlpzmzozddtrp0(1,1,1) = 1.
% 179.30/179.38
% 179.30/179.38 % SZS output end FiniteModel
% 179.30/179.38 ------ process 6542 exit (max_models) ------
% 179.30/179.38
% 179.30/179.38 User_CPU=175.78, System_CPU=3.13, Wall_clock=179.
% 179.30/179.38
% 179.30/179.38 Exiting with 1 model.
% 179.30/179.38
% 179.30/179.38 Process 6542 exit (max_models) Tue Feb 7 21:38:45 2017
% 179.30/179.38 The process finished Tue Feb 7 21:38:45 2017
% 179.30/179.38 Mace4 ended
%------------------------------------------------------------------------------