%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : RNG047+1 : TPTP v8.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 14:00:50 EDT 2024 % Result : Theorem 59.54s 59.66s % Output : CNFRefutation 59.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.14 % Problem : RNG047+1 : TPTP v8.2.0. Released v4.0.0. % 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.14/0.35 % Computer : n006.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 : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Tue Jun 18 14:45:39 EDT 2024 % 0.14/0.35 % CPUTime : % 0.51/0.61 start to proof:theBenchmark % 59.54/59.64 %------------------------------------------- % 59.54/59.64 % File :CSE---1.7 % 59.54/59.64 % Problem :theBenchmark % 59.54/59.64 % Transform :cnf % 59.54/59.64 % Format :tptp:raw % 59.54/59.64 % Command :java -jar mcs_scs.jar %d %s % 59.54/59.64 % 59.54/59.64 % Result :Theorem 58.900000s % 59.54/59.64 % Output :CNFRefutation 58.900000s % 59.54/59.64 %------------------------------------------- % 59.54/59.65 %------------------------------------------------------------------------------ % 59.54/59.65 % File : RNG047+1 : TPTP v8.2.0. Released v4.0.0. % 59.54/59.65 % Domain : Ring Theory % 59.54/59.65 % Problem : Cauchy-Bouniakowsky-Schwarz inequality 03, 00 expansion % 59.54/59.65 % Version : Especial. % 59.54/59.65 % English : % 59.54/59.65 % 59.54/59.65 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 59.54/59.65 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 59.54/59.65 % Source : [Pas08] % 59.54/59.65 % Names : cauchy_03.00 [Pas08] % 59.54/59.65 % 59.54/59.65 % Status : Theorem % 59.54/59.65 % Rating : 0.33 v8.2.0, 0.31 v7.5.0, 0.34 v7.4.0, 0.23 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.22 v7.0.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.40 v6.0.0, 0.26 v5.5.0, 0.48 v5.4.0, 0.54 v5.3.0, 0.59 v5.2.0, 0.50 v5.1.0, 0.62 v4.1.0, 0.70 v4.0.1, 0.78 v4.0.0 % 59.54/59.65 % Syntax : Number of formulae : 35 ( 3 unt; 1 def) % 59.54/59.65 % Number of atoms : 133 ( 33 equ) % 59.54/59.65 % Maximal formula atoms : 9 ( 3 avg) % 59.54/59.65 % Number of connectives : 102 ( 4 ~; 1 |; 55 &) % 59.54/59.65 % ( 1 <=>; 41 =>; 0 <=; 0 <~>) % 59.54/59.65 % Maximal formula depth : 10 ( 5 avg) % 59.54/59.65 % Maximal term depth : 4 ( 1 avg) % 59.54/59.65 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty) % 59.54/59.65 % Number of functors : 11 ( 11 usr; 4 con; 0-2 aty) % 59.54/59.65 % Number of variables : 60 ( 59 !; 1 ?) % 59.54/59.65 % SPC : FOF_THM_RFO_SEQ % 59.54/59.65 % 59.54/59.65 % Comments : Problem generated by the SAD system [VLP07] % 59.54/59.65 %------------------------------------------------------------------------------ % 59.54/59.65 fof(mNatSort,axiom, % 59.54/59.65 ! [W0] : % 59.54/59.65 ( aNaturalNumber0(W0) % 59.54/59.65 => $true ) ). % 59.54/59.65 % 59.54/59.65 fof(mZeroNat,axiom, % 59.54/59.65 aNaturalNumber0(sz00) ). % 59.54/59.65 % 59.54/59.65 fof(mSuccNat,axiom, % 59.54/59.65 ! [W0] : % 59.54/59.65 ( aNaturalNumber0(W0) % 59.54/59.65 => ( aNaturalNumber0(szszuzczcdt0(W0)) % 59.54/59.65 & szszuzczcdt0(W0) != sz00 ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mNatExtr,axiom, % 59.54/59.65 ! [W0] : % 59.54/59.65 ( ( aNaturalNumber0(W0) % 59.54/59.65 & W0 != sz00 ) % 59.54/59.65 => ? [W1] : % 59.54/59.65 ( aNaturalNumber0(W1) % 59.54/59.65 & W0 = szszuzczcdt0(W1) ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mSuccEqu,axiom, % 59.54/59.65 ! [W0,W1] : % 59.54/59.65 ( ( aNaturalNumber0(W0) % 59.54/59.65 & aNaturalNumber0(W1) ) % 59.54/59.65 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1) % 59.54/59.65 => W0 = W1 ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mIHOrd,axiom, % 59.54/59.65 ! [W0,W1] : % 59.54/59.65 ( ( aNaturalNumber0(W0) % 59.54/59.65 & aNaturalNumber0(W1) ) % 59.54/59.65 => ( iLess0(W0,W1) % 59.54/59.65 => $true ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mIH,axiom, % 59.54/59.65 ! [W0] : % 59.54/59.65 ( aNaturalNumber0(W0) % 59.54/59.65 => iLess0(W0,szszuzczcdt0(W0)) ) ). % 59.54/59.65 % 59.54/59.65 fof(mScSort,axiom, % 59.54/59.65 ! [W0] : % 59.54/59.65 ( aScalar0(W0) % 59.54/59.65 => $true ) ). % 59.54/59.65 % 59.54/59.65 fof(mSZeroSc,axiom, % 59.54/59.65 aScalar0(sz0z00) ). % 59.54/59.65 % 59.54/59.65 fof(mSumSc,axiom, % 59.54/59.65 ! [W0,W1] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) ) % 59.54/59.65 => aScalar0(sdtpldt0(W0,W1)) ) ). % 59.54/59.65 % 59.54/59.65 fof(mMulSc,axiom, % 59.54/59.65 ! [W0,W1] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) ) % 59.54/59.65 => aScalar0(sdtasdt0(W0,W1)) ) ). % 59.54/59.65 % 59.54/59.65 fof(mNegSc,axiom, % 59.54/59.65 ! [W0] : % 59.54/59.65 ( aScalar0(W0) % 59.54/59.65 => aScalar0(smndt0(W0)) ) ). % 59.54/59.65 % 59.54/59.65 fof(mScZero,axiom, % 59.54/59.65 ! [W0] : % 59.54/59.65 ( aScalar0(W0) % 59.54/59.65 => ( sdtpldt0(W0,sz0z00) = W0 % 59.54/59.65 & sdtpldt0(sz0z00,W0) = W0 % 59.54/59.65 & sdtasdt0(W0,sz0z00) = sz0z00 % 59.54/59.65 & sdtasdt0(sz0z00,W0) = sz0z00 % 59.54/59.65 & sdtpldt0(W0,smndt0(W0)) = sz0z00 % 59.54/59.65 & sdtpldt0(smndt0(W0),W0) = sz0z00 % 59.54/59.65 & smndt0(smndt0(W0)) = W0 % 59.54/59.65 & smndt0(sz0z00) = sz0z00 ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mArith,axiom, % 59.54/59.65 ! [W0,W1,W2] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) % 59.54/59.65 & aScalar0(W2) ) % 59.54/59.65 => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) % 59.54/59.65 & sdtpldt0(W0,W1) = sdtpldt0(W1,W0) % 59.54/59.65 & sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) % 59.54/59.65 & sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mDistr,axiom, % 59.54/59.65 ! [W0,W1,W2] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) % 59.54/59.65 & aScalar0(W2) ) % 59.54/59.65 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) % 59.54/59.65 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mDistr2,axiom, % 59.54/59.65 ! [W0,W1,W2,W3] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) % 59.54/59.65 & aScalar0(W2) % 59.54/59.65 & aScalar0(W3) ) % 59.54/59.65 => sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) ). % 59.54/59.65 % 59.54/59.65 fof(mMNeg,axiom, % 59.54/59.65 ! [W0,W1] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) ) % 59.54/59.65 => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1)) % 59.54/59.65 & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mMDNeg,axiom, % 59.54/59.65 ! [W0,W1] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) ) % 59.54/59.65 => sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) ). % 59.54/59.65 % 59.54/59.65 fof(mLess,axiom, % 59.54/59.65 ! [W0,W1] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) ) % 59.54/59.65 => ( sdtlseqdt0(W0,W1) % 59.54/59.65 => $true ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mLERef,axiom, % 59.54/59.65 ! [W0] : % 59.54/59.65 ( aScalar0(W0) % 59.54/59.65 => sdtlseqdt0(W0,W0) ) ). % 59.54/59.65 % 59.54/59.65 fof(mLEASm,axiom, % 59.54/59.65 ! [W0,W1] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) ) % 59.54/59.65 => ( ( sdtlseqdt0(W0,W1) % 59.54/59.65 & sdtlseqdt0(W1,W0) ) % 59.54/59.65 => W0 = W1 ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mLETrn,axiom, % 59.54/59.65 ! [W0,W1,W2] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) % 59.54/59.65 & aScalar0(W2) ) % 59.54/59.65 => ( ( sdtlseqdt0(W0,W1) % 59.54/59.65 & sdtlseqdt0(W1,W2) ) % 59.54/59.65 => sdtlseqdt0(W0,W2) ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mLEMon,axiom, % 59.54/59.65 ! [W0,W1,W2,W3] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) % 59.54/59.65 & aScalar0(W2) % 59.54/59.65 & aScalar0(W3) ) % 59.54/59.65 => ( ( sdtlseqdt0(W0,W1) % 59.54/59.65 & sdtlseqdt0(W2,W3) ) % 59.54/59.65 => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mLEMonM,axiom, % 59.54/59.65 ! [W0,W1,W2,W3] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) % 59.54/59.65 & aScalar0(W2) % 59.54/59.65 & aScalar0(W3) ) % 59.54/59.65 => ( ( sdtlseqdt0(W0,W1) % 59.54/59.65 & sdtlseqdt0(sz0z00,W2) % 59.54/59.65 & sdtlseqdt0(W2,W3) ) % 59.54/59.65 => sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ) ). % 59.54/59.65 % 59.54/59.65 fof(mLETot,axiom, % 59.54/59.65 ! [W0,W1] : % 59.54/59.65 ( ( aScalar0(W0) % 59.54/59.65 & aScalar0(W1) ) % 59.54/59.65 => ( sdtlseqdt0(W0,W1) % 59.54/59.66 | sdtlseqdt0(W1,W0) ) ) ). % 59.54/59.66 % 59.54/59.66 fof(mPosMon,axiom, % 59.54/59.66 ! [W0,W1] : % 59.54/59.66 ( ( aScalar0(W0) % 59.54/59.66 & aScalar0(W1) ) % 59.54/59.66 => ( ( sdtlseqdt0(sz0z00,W0) % 59.54/59.66 & sdtlseqdt0(sz0z00,W1) ) % 59.54/59.66 => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1)) % 59.54/59.66 & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) ). % 59.54/59.66 % 59.54/59.66 fof(mSqPos,axiom, % 59.54/59.66 ! [W0] : % 59.54/59.66 ( aScalar0(W0) % 59.54/59.66 => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) ). % 59.54/59.66 % 59.54/59.66 fof(mSqrt,axiom, % 59.54/59.66 ! [W0,W1] : % 59.54/59.66 ( ( aScalar0(W0) % 59.54/59.66 & aScalar0(W1) ) % 59.54/59.66 => ( ( sdtlseqdt0(sz0z00,W0) % 59.54/59.66 & sdtlseqdt0(sz0z00,W1) % 59.54/59.66 & sdtasdt0(W0,W0) = sdtasdt0(W1,W1) ) % 59.54/59.66 => W0 = W1 ) ) ). % 59.54/59.66 % 59.54/59.66 fof(mVcSort,axiom, % 59.54/59.66 ! [W0] : % 59.54/59.66 ( aVector0(W0) % 59.54/59.66 => $true ) ). % 59.54/59.66 % 59.54/59.66 fof(mDimNat,axiom, % 59.54/59.66 ! [W0] : % 59.54/59.66 ( aVector0(W0) % 59.54/59.66 => aNaturalNumber0(aDimensionOf0(W0)) ) ). % 59.54/59.66 % 59.54/59.66 fof(mElmSc,axiom, % 59.54/59.66 ! [W0,W1] : % 59.54/59.66 ( ( aVector0(W0) % 59.54/59.66 & aNaturalNumber0(W1) ) % 59.54/59.66 => aScalar0(sdtlbdtrb0(W0,W1)) ) ). % 59.54/59.66 % 59.54/59.66 fof(mDefInit,definition, % 59.54/59.66 ! [W0] : % 59.54/59.66 ( aVector0(W0) % 59.54/59.66 => ( aDimensionOf0(W0) != sz00 % 59.54/59.66 => ! [W1] : % 59.54/59.66 ( W1 = sziznziztdt0(W0) % 59.54/59.66 <=> ( aVector0(W1) % 59.54/59.66 & szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0) % 59.54/59.66 & ! [W2] : % 59.54/59.66 ( aNaturalNumber0(W2) % 59.54/59.66 => sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ). % 59.54/59.66 % 59.54/59.66 fof(m__1329,hypothesis, % 59.54/59.66 ( aVector0(xs) % 59.54/59.66 & aVector0(xt) ) ). % 59.54/59.66 % 59.54/59.66 fof(m__1329_01,hypothesis, % 59.54/59.66 ( aDimensionOf0(xs) = aDimensionOf0(xt) % 59.54/59.66 & aDimensionOf0(xt) != sz00 ) ). % 59.54/59.66 % 59.54/59.66 fof(m__,conjecture, % 59.54/59.66 aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ). % 59.54/59.66 % 59.54/59.66 %------------------------------------------------------------------------------ % 59.54/59.66 %------------------------------------------- % 59.54/59.66 % Proof found % 59.54/59.66 % SZS status Theorem for theBenchmark % 59.54/59.66 % SZS output start Proof % 59.54/59.66 %ClaNum:74(EqnAxiom:23) % 59.54/59.66 %VarNum:260(SingletonVarNum:85) % 59.54/59.66 %MaxLitNum:8 % 59.54/59.66 %MaxfuncDepth:3 % 59.54/59.66 %SharedTerms:19 % 59.54/59.66 %goalClause: 30 % 59.54/59.66 %singleGoalClaCount:1 % 59.54/59.66 [24]P1(a1) % 59.54/59.66 [25]P2(a9) % 59.54/59.66 [26]P3(a10) % 59.54/59.66 [27]P3(a13) % 59.54/59.66 [28]E(f2(a13),f2(a10)) % 59.54/59.66 [29]~E(f2(a13),a1) % 59.54/59.66 [30]~E(f2(f11(a13)),f2(f11(a10))) % 59.54/59.66 [43]~P2(x431)+P4(x431,x431) % 59.54/59.66 [31]~P2(x311)+E(f3(a9),a9) % 59.54/59.66 [32]~P1(x321)+~E(f12(x321),a1) % 59.54/59.66 [33]~P1(x331)+P1(f12(x331)) % 59.54/59.66 [34]~P3(x341)+P1(f2(x341)) % 59.54/59.66 [35]~P2(x351)+P2(f3(x351)) % 59.54/59.66 [38]~P2(x381)+E(f5(x381,a9),a9) % 59.54/59.66 [39]~P2(x391)+E(f5(a9,x391),a9) % 59.54/59.66 [41]~P2(x411)+E(f7(x411,a9),x411) % 59.54/59.66 [42]~P2(x421)+E(f7(a9,x421),x421) % 59.54/59.66 [47]~P1(x471)+P5(x471,f12(x471)) % 59.54/59.66 [54]~P2(x541)+P4(a9,f5(x541,x541)) % 59.54/59.66 [36]~P2(x361)+E(f3(f3(x361)),x361) % 59.54/59.66 [45]~P2(x451)+E(f7(x451,f3(x451)),a9) % 59.54/59.66 [46]~P2(x461)+E(f7(f3(x461),x461),a9) % 59.54/59.66 [37]~P1(x371)+E(x371,a1)+P1(f4(x371)) % 59.54/59.66 [40]~P1(x401)+E(x401,a1)+E(f12(f4(x401)),x401) % 59.54/59.66 [51]~P2(x512)+~P2(x511)+P2(f7(x511,x512)) % 59.54/59.66 [52]~P2(x522)+~P2(x521)+P2(f5(x521,x522)) % 59.54/59.66 [53]~P1(x532)+~P3(x531)+P2(f8(x531,x532)) % 59.54/59.66 [57]~P2(x572)+~P2(x571)+E(f5(f3(x571),f3(x572)),f5(x571,x572)) % 59.54/59.66 [60]~P2(x602)+~P2(x601)+E(f3(f5(x601,x602)),f5(x601,f3(x602))) % 59.54/59.66 [61]~P2(x612)+~P2(x611)+E(f3(f5(x611,x612)),f5(f3(x611),x612)) % 59.54/59.66 [50]P4(x502,x501)+~P2(x501)+~P2(x502)+P4(x501,x502) % 59.54/59.66 [44]~P3(x441)+P3(x442)+~E(x442,f11(x441))+E(f2(x441),a1) % 59.54/59.66 [48]~P1(x482)+~P1(x481)+E(x481,x482)+~E(f12(x481),f12(x482)) % 59.54/59.66 [49]~P3(x491)+~E(x492,f11(x491))+E(f2(x491),a1)+E(f12(f2(x492)),f2(x491)) % 59.54/59.66 [55]~P2(x552)+~P2(x551)+~P2(x553)+E(f7(x551,x552),f7(x552,x551)) % 59.54/59.66 [56]~P2(x562)+~P2(x561)+~P2(x563)+E(f5(x561,x562),f5(x562,x561)) % 59.54/59.66 [66]~P2(x663)+~P2(x662)+~P2(x661)+E(f7(f7(x661,x662),x663),f7(x661,f7(x662,x663))) % 59.54/59.66 [67]~P2(x673)+~P2(x672)+~P2(x671)+E(f5(f5(x671,x672),x673),f5(x671,f5(x672,x673))) % 59.54/59.66 [69]~P2(x693)+~P2(x692)+~P2(x691)+E(f7(f5(x691,x692),f5(x691,x693)),f5(x691,f7(x692,x693))) % 59.54/59.66 [70]~P2(x702)+~P2(x703)+~P2(x701)+E(f7(f5(x701,x702),f5(x703,x702)),f5(f7(x701,x703),x702)) % 59.54/59.66 [59]~P2(x592)+~P2(x591)+~P4(x592,x591)+~P4(x591,x592)+E(x591,x592) % 59.54/59.66 [64]~P2(x642)+~P2(x641)+~P4(a9,x642)+~P4(a9,x641)+P4(a9,f7(x641,x642)) % 59.54/59.66 [65]~P2(x652)+~P2(x651)+~P4(a9,x652)+~P4(a9,x651)+P4(a9,f5(x651,x652)) % 59.54/59.66 [58]~P1(x583)+~P3(x581)+~E(x582,f11(x581))+E(f8(x582,x583),f8(x581,x583))+E(f2(x581),a1) % 59.54/59.66 [74]~P2(x743)+~P2(x742)+~P2(x744)+~P2(x741)+E(f7(f7(f5(x741,x742),f5(x741,x743)),f7(f5(x744,x742),f5(x744,x743))),f5(f7(x741,x744),f7(x742,x743))) % 59.54/59.66 [68]~P2(x682)+~P2(x681)+E(x681,x682)+~E(f5(x681,x681),f5(x682,x682))+~P4(a9,x682)+~P4(a9,x681) % 59.54/59.66 [62]~P3(x621)+~P3(x622)+E(x621,f11(x622))+E(f2(x622),a1)+P1(f6(x622,x621))+~E(f12(f2(x621)),f2(x622)) % 59.54/59.66 [73]~P3(x732)+~P3(x731)+E(x731,f11(x732))+E(f2(x732),a1)+~E(f12(f2(x731)),f2(x732))+~E(f8(x731,f6(x732,x731)),f8(x732,f6(x732,x731))) % 59.54/59.66 [63]~P2(x632)+~P2(x631)+~P4(x633,x632)+~P4(x631,x633)+P4(x631,x632)+~P2(x633) % 59.54/59.66 [71]~P2(x714)+~P2(x712)+~P2(x713)+~P2(x711)+~P4(x712,x714)+~P4(x711,x713)+P4(f7(x711,x712),f7(x713,x714)) % 59.54/59.66 [72]~P2(x724)+~P2(x722)+~P2(x723)+~P2(x721)+~P4(x722,x724)+~P4(x721,x723)+~P4(a9,x722)+P4(f5(x721,x722),f5(x723,x724)) % 59.54/59.66 %EqnAxiom % 59.54/59.66 [1]E(x11,x11) % 59.54/59.66 [2]E(x22,x21)+~E(x21,x22) % 59.54/59.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 59.54/59.66 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 59.54/59.66 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53)) % 59.54/59.66 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62)) % 59.54/59.66 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73)) % 59.54/59.66 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82)) % 59.54/59.66 [9]~E(x91,x92)+E(f11(x91),f11(x92)) % 59.54/59.66 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103)) % 59.54/59.66 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112)) % 59.54/59.66 [12]~E(x121,x122)+E(f3(x121),f3(x122)) % 59.54/59.66 [13]~E(x131,x132)+E(f8(x131,x133),f8(x132,x133)) % 59.54/59.66 [14]~E(x141,x142)+E(f8(x143,x141),f8(x143,x142)) % 59.54/59.66 [15]~E(x151,x152)+E(f12(x151),f12(x152)) % 59.54/59.66 [16]~E(x161,x162)+E(f4(x161),f4(x162)) % 59.54/59.66 [17]~P1(x171)+P1(x172)+~E(x171,x172) % 59.54/59.66 [18]~P2(x181)+P2(x182)+~E(x181,x182) % 59.54/59.66 [19]~P3(x191)+P3(x192)+~E(x191,x192) % 59.54/59.66 [20]P4(x202,x203)+~E(x201,x202)+~P4(x201,x203) % 59.54/59.66 [21]P4(x213,x212)+~E(x211,x212)+~P4(x213,x211) % 59.54/59.66 [22]P5(x222,x223)+~E(x221,x222)+~P5(x221,x223) % 59.54/59.66 [23]P5(x233,x232)+~E(x231,x232)+~P5(x233,x231) % 59.54/59.66 % 59.54/59.66 %------------------------------------------- % 59.54/59.66 cnf(75,plain, % 59.54/59.66 (~P3(x751)+P3(f11(x751))+E(f2(x751),a1)), % 59.54/59.66 inference(equality_inference,[],[44])). % 59.54/59.66 cnf(77,plain, % 59.54/59.66 (~P3(x771)+E(f2(x771),a1)+E(f12(f2(f11(x771))),f2(x771))), % 59.54/59.66 inference(equality_inference,[],[49])). % 59.54/59.66 cnf(78,plain, % 59.54/59.66 (~P1(x781)+~P3(x782)+E(f8(f11(x782),x781),f8(x782,x781))+E(f2(x782),a1)), % 59.54/59.66 inference(equality_inference,[],[58])). % 59.54/59.66 cnf(80,plain, % 59.54/59.66 (E(f2(a10),f2(a13))), % 59.54/59.66 inference(scs_inference,[],[28,2])). % 59.54/59.66 cnf(81,plain, % 59.54/59.66 (~E(f11(a13),f11(a10))), % 59.54/59.66 inference(scs_inference,[],[30,28,2,4])). % 59.54/59.66 cnf(82,plain, % 59.54/59.66 (~E(a13,a10)), % 59.54/59.66 inference(scs_inference,[],[30,28,2,4,9])). % 59.54/59.66 cnf(83,plain, % 59.54/59.66 (P3(f11(a13))), % 59.54/59.66 inference(scs_inference,[],[30,27,28,29,2,4,9,75])). % 59.54/59.66 cnf(85,plain, % 59.54/59.66 (E(f12(f2(f11(a13))),f2(a13))), % 59.54/59.66 inference(scs_inference,[],[30,27,28,29,2,4,9,75,77])). % 59.54/59.66 cnf(87,plain, % 59.54/59.66 (P4(a9,a9)), % 59.54/59.66 inference(scs_inference,[],[30,25,27,28,29,2,4,9,75,77,50])). % 59.54/59.66 cnf(89,plain, % 59.54/59.66 (E(f8(f11(a13),a1),f8(a13,a1))), % 59.54/59.66 inference(scs_inference,[],[30,24,25,27,28,29,2,4,9,75,77,50,78])). % 59.54/59.66 cnf(91,plain, % 59.54/59.66 (P4(f5(a9,a9),f5(a9,a9))), % 59.54/59.66 inference(scs_inference,[],[30,24,25,27,28,29,2,4,9,75,77,50,78,72])). % 59.54/59.66 cnf(93,plain, % 59.54/59.66 (E(x931,f2(a13))+~E(x931,f12(f2(f11(a13))))), % 59.54/59.66 inference(scs_inference,[],[30,24,25,27,28,29,2,4,9,75,77,50,78,72,3])). % 59.54/59.66 cnf(98,plain, % 59.54/59.66 (E(f3(a9),a9)), % 59.54/59.66 inference(scs_inference,[],[25,31])). % 59.54/59.66 cnf(101,plain, % 59.54/59.66 (E(f2(a13),f12(f2(f11(a13))))), % 59.54/59.66 inference(scs_inference,[],[85,2])). % 59.54/59.66 cnf(102,plain, % 59.54/59.66 (E(f2(a10),f12(f2(f11(a13))))), % 59.54/59.66 inference(scs_inference,[],[80,85,2,3])). % 59.54/59.66 cnf(103,plain, % 59.54/59.66 (~P1(f2(a10))+P1(f2(a13))), % 59.54/59.66 inference(scs_inference,[],[80,85,2,3,17])). % 59.54/59.66 cnf(107,plain, % 59.54/59.66 (E(f12(f2(f11(a13))),f2(a10))), % 59.54/59.66 inference(scs_inference,[],[102,2])). % 59.54/59.66 cnf(108,plain, % 59.54/59.66 (~P1(f2(a13))+P1(f12(f2(f11(a13))))), % 59.54/59.66 inference(scs_inference,[],[101,102,2,17])). % 59.54/59.66 cnf(115,plain, % 59.54/59.66 (~P1(f2(a10))+P1(f12(f2(f11(a13))))), % 59.54/59.66 inference(scs_inference,[],[102,89,2,17])). % 59.54/59.66 cnf(119,plain, % 59.54/59.66 (E(a9,f3(a9))), % 59.54/59.66 inference(scs_inference,[],[98,2])). % 59.54/59.66 cnf(120,plain, % 59.54/59.66 (P4(f3(a9),a9)), % 59.54/59.66 inference(scs_inference,[],[87,98,2,20])). % 59.54/59.66 cnf(121,plain, % 59.54/59.66 (P4(a9,f3(a9))), % 59.54/59.66 inference(scs_inference,[],[87,98,2,20,21])). % 59.54/59.66 cnf(122,plain, % 59.54/59.66 (P2(f3(a9))), % 59.54/59.66 inference(scs_inference,[],[87,25,98,2,20,21,18])). % 59.54/59.66 cnf(125,plain, % 59.54/59.66 (P4(f5(a9,f3(a9)),f5(f3(a9),a9))), % 59.54/59.66 inference(scs_inference,[],[87,25,98,2,20,21,18,50,72])). % 59.54/59.66 cnf(133,plain, % 59.54/59.66 (~P1(f12(f2(f11(a13))))+P1(f2(a10))), % 59.54/59.66 inference(scs_inference,[],[80,107,91,21,19,17])). % 59.54/59.66 cnf(142,plain, % 59.54/59.66 (P4(f5(a9,f3(a9)),x1421)+~E(f5(f3(a9),a9),x1421)), % 59.54/59.66 inference(scs_inference,[],[119,125,17,21])). % 59.54/59.66 cnf(176,plain, % 59.54/59.66 (~P1(f2(f11(a13)))+P1(f2(a13))), % 59.54/59.66 inference(scs_inference,[],[85,17,33])). % 59.54/59.66 cnf(179,plain, % 59.54/59.66 (P2(f3(f7(a9,a9)))), % 59.54/59.66 inference(scs_inference,[],[25,35,51])). % 59.54/59.66 cnf(193,plain, % 59.54/59.66 (~P1(f2(a13))+P1(f2(a10))), % 59.54/59.66 inference(scs_inference,[],[28,17])). % 59.54/59.66 cnf(194,plain, % 59.54/59.66 (P1(f2(a10))+~P1(f2(f11(a13)))), % 59.54/59.66 inference(scs_inference,[],[28,17,176])). % 59.54/59.66 cnf(233,plain, % 59.54/59.66 (P4(a9,f7(a9,a9))), % 59.54/59.66 inference(scs_inference,[],[25,43,64])). % 59.54/59.66 cnf(234,plain, % 59.54/59.66 (P4(f3(a9),f7(a9,a9))), % 59.54/59.66 inference(scs_inference,[],[119,233,20])). % 59.54/59.66 cnf(353,plain, % 59.54/59.66 (~E(f12(f12(a1)),a1)), % 59.54/59.66 inference(scs_inference,[],[24,32,33])). % 59.54/59.66 cnf(396,plain, % 59.54/59.66 (P1(f2(a13))), % 59.54/59.66 inference(scs_inference,[],[26,103,34])). % 59.54/59.66 cnf(397,plain, % 59.54/59.66 (P1(f12(f2(f11(a13))))), % 59.54/59.66 inference(scs_inference,[],[396,108])). % 59.54/59.66 cnf(398,plain, % 59.54/59.66 (P1(f2(a10))), % 59.54/59.66 inference(scs_inference,[],[396,193])). % 59.54/59.66 cnf(400,plain, % 59.54/59.66 (P1(f12(f2(f11(a13))))), % 59.54/59.66 inference(scs_inference,[],[398,115])). % 59.54/59.66 cnf(401,plain, % 59.54/59.66 (P1(f2(a10))), % 59.54/59.66 inference(scs_inference,[],[397,133])). % 59.54/59.66 cnf(490,plain, % 59.54/59.66 (E(f3(f3(f3(a9))),f3(a9))), % 59.54/59.66 inference(scs_inference,[],[25,36,35])). % 59.54/59.66 cnf(491,plain, % 59.54/59.66 (E(f3(a9),f3(f3(f3(a9))))), % 59.54/59.66 inference(scs_inference,[],[490,2])). % 59.54/59.66 cnf(492,plain, % 59.54/59.66 (E(a9,f3(f3(f3(a9))))), % 59.54/59.66 inference(scs_inference,[],[119,490,2,3])). % 59.54/59.66 cnf(493,plain, % 59.54/59.66 (P2(f3(f3(f3(a9))))), % 59.54/59.66 inference(scs_inference,[],[119,122,490,2,3,18])). % 59.54/59.66 cnf(504,plain, % 59.54/59.66 (E(f3(f3(f3(a9))),a9)), % 59.54/59.66 inference(scs_inference,[],[492,2])). % 59.54/59.66 cnf(506,plain, % 59.54/59.66 (P4(a9,f3(f3(f3(a9))))), % 59.54/59.66 inference(scs_inference,[],[491,492,234,121,2,20,21])). % 59.54/59.66 cnf(539,plain, % 59.54/59.66 (E(f5(f3(a9),a9),a9)), % 59.54/59.66 inference(scs_inference,[],[25,38,35])). % 59.54/59.66 cnf(542,plain, % 59.54/59.66 (E(f3(f3(f3(a9))),f5(f3(a9),a9))), % 59.54/59.66 inference(scs_inference,[],[504,539,142,2,3])). % 59.54/59.66 cnf(543,plain, % 59.54/59.66 (P2(f5(f3(a9),a9))), % 59.54/59.66 inference(scs_inference,[],[25,504,539,142,2,3,18])). % 59.54/59.66 cnf(545,plain, % 59.54/59.66 (P4(f5(f3(a9),a9),f5(f3(a9),a9))), % 59.54/59.66 inference(scs_inference,[],[25,119,504,539,142,2,3,18,21,50])). % 59.54/59.66 cnf(556,plain, % 59.54/59.66 (E(f3(a9),f5(f3(a9),a9))), % 59.54/59.66 inference(scs_inference,[],[491,542,2,3])). % 59.54/59.66 cnf(557,plain, % 59.54/59.67 (P4(a9,f5(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[491,542,545,539,2,3,20])). % 59.54/59.67 cnf(565,plain, % 59.54/59.67 (E(f5(f3(a9),a9),f3(a9))), % 59.54/59.67 inference(scs_inference,[],[556,2])). % 59.54/59.67 cnf(611,plain, % 59.54/59.67 (E(f5(a9,f3(a9)),a9)), % 59.54/59.67 inference(scs_inference,[],[25,39,35])). % 59.54/59.67 cnf(612,plain, % 59.54/59.67 (E(a9,f5(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[611,2])). % 59.54/59.67 cnf(613,plain, % 59.54/59.67 (E(f3(f3(f3(a9))),f5(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[504,611,2,3])). % 59.54/59.67 cnf(614,plain, % 59.54/59.67 (P2(f5(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[25,504,611,2,3,18])). % 59.54/59.67 cnf(617,plain, % 59.54/59.67 (P4(a9,f5(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[25,504,611,2,3,18,50,20])). % 59.54/59.67 cnf(669,plain, % 59.54/59.67 (E(f7(f3(a9),a9),f3(a9))), % 59.54/59.67 inference(scs_inference,[],[25,41,35])). % 59.54/59.67 cnf(671,plain, % 59.54/59.67 (E(a9,f7(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[119,669,2,3])). % 59.54/59.67 cnf(672,plain, % 59.54/59.67 (P2(f7(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[119,122,669,2,3,18])). % 59.54/59.67 cnf(675,plain, % 59.54/59.67 (P4(f3(a9),f7(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[119,122,669,2,3,18,50,20])). % 59.54/59.67 cnf(676,plain, % 59.54/59.67 (P4(f7(f3(a9),a9),f3(a9))), % 59.54/59.67 inference(scs_inference,[],[119,122,669,2,3,18,50,20,21])). % 59.54/59.67 cnf(678,plain, % 59.54/59.67 (P4(f7(f3(a9),a9),a9)), % 59.54/59.67 inference(scs_inference,[],[25,119,120,122,669,2,3,18,50,20,21,17,63])). % 59.54/59.67 cnf(686,plain, % 59.54/59.67 (P4(f3(f3(f3(a9))),f7(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[491,504,671,675,2,3,20])). % 59.54/59.67 cnf(688,plain, % 59.54/59.67 (E(f7(f3(a9),a9),f3(f3(f3(a9))))), % 59.54/59.67 inference(scs_inference,[],[491,504,671,493,672,676,675,2,3,20,21,59])). % 59.54/59.67 cnf(697,plain, % 59.54/59.67 (P4(a9,f7(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[504,686,20])). % 59.54/59.67 cnf(741,plain, % 59.54/59.67 (E(f7(a9,f3(a9)),f3(a9))), % 59.54/59.67 inference(scs_inference,[],[25,42,35])). % 59.54/59.67 cnf(742,plain, % 59.54/59.67 (E(f3(a9),f7(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[741,2])). % 59.54/59.67 cnf(743,plain, % 59.54/59.67 (E(a9,f7(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[119,741,2,3])). % 59.54/59.67 cnf(744,plain, % 59.54/59.67 (P2(f7(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[119,122,741,2,3,18])). % 59.54/59.67 cnf(747,plain, % 59.54/59.67 (P4(f3(a9),f7(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[119,122,741,2,3,18,50,20])). % 59.54/59.67 cnf(756,plain, % 59.54/59.67 (E(f7(a9,f3(a9)),a9)), % 59.54/59.67 inference(scs_inference,[],[743,2])). % 59.54/59.67 cnf(757,plain, % 59.54/59.67 (E(f3(f3(f3(a9))),f7(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[504,743,2,3])). % 59.54/59.67 cnf(758,plain, % 59.54/59.67 (P4(f3(f3(f3(a9))),f7(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[491,504,743,747,2,3,20])). % 59.54/59.67 cnf(770,plain, % 59.54/59.67 (P4(a9,f7(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[504,758,20])). % 59.54/59.67 cnf(815,plain, % 59.54/59.67 (P4(a9,f5(f3(a9),f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[25,54,35])). % 59.54/59.67 cnf(816,plain, % 59.54/59.67 (P4(f3(a9),f5(f3(a9),f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[119,815,20])). % 59.54/59.67 cnf(817,plain, % 59.54/59.67 (P4(a9,x8171)+~E(f5(f3(a9),f3(a9)),x8171)), % 59.54/59.67 inference(scs_inference,[],[119,815,20,21])). % 59.54/59.67 cnf(821,plain, % 59.54/59.67 (P4(f3(f3(f3(a9))),f5(f3(a9),f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[491,816,20])). % 59.54/59.67 cnf(822,plain, % 59.54/59.67 (P4(f3(a9),x8221)+~E(f5(f3(a9),f3(a9)),x8221)), % 59.54/59.67 inference(scs_inference,[],[491,816,20,21])). % 59.54/59.67 cnf(856,plain, % 59.54/59.67 (P4(x8561,f5(f7(f3(a9),a9),f3(a9)))+~E(f5(a9,f7(f3(a9),a9)),x8561)), % 59.54/59.67 inference(scs_inference,[],[25,122,697,676,672,72,20])). % 59.54/59.67 cnf(865,plain, % 59.54/59.67 (E(f8(f11(a13),f2(a10)),f8(a13,f2(a10)))+~P1(f2(f11(a13)))), % 59.54/59.67 inference(scs_inference,[],[29,27,194,78])). % 59.54/59.67 cnf(1263,plain, % 59.54/59.67 (E(f7(a9,f3(a9)),f5(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[565,742,3,142,2])). % 59.54/59.67 cnf(1286,plain, % 59.54/59.67 (E(f7(f3(a9),a9),f7(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[688,757,3])). % 59.54/59.67 cnf(1299,plain, % 59.54/59.67 (P4(f7(f3(a9),a9),f7(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[756,743,612,557,678,3,20,21])). % 59.54/59.67 cnf(1309,plain, % 59.54/59.67 (P4(f7(a9,f3(a9)),f5(f3(a9),f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[688,757,613,821,3,20])). % 59.54/59.67 cnf(1310,plain, % 59.54/59.67 (E(f5(a9,f3(a9)),f7(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[688,757,613,821,3,20,2])). % 59.54/59.67 cnf(1323,plain, % 59.54/59.67 (P4(f7(a9,f3(a9)),f5(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[743,617,20])). % 59.54/59.67 cnf(1324,plain, % 59.54/59.67 (P4(f7(a9,f3(a9)),x13241)+~E(f5(f3(a9),f3(a9)),x13241)), % 59.54/59.67 inference(scs_inference,[],[743,617,1309,20,21])). % 59.54/59.67 cnf(1335,plain, % 59.54/59.67 (E(f7(f3(a9),f3(f3(a9))),a9)), % 59.54/59.67 inference(scs_inference,[],[25,45,35])). % 59.54/59.67 cnf(1336,plain, % 59.54/59.67 (E(a9,f7(f3(a9),f3(f3(a9))))), % 59.54/59.67 inference(scs_inference,[],[1335,2])). % 59.54/59.67 cnf(1429,plain, % 59.54/59.67 (E(f7(f3(f3(a9)),f3(a9)),a9)), % 59.54/59.67 inference(scs_inference,[],[25,46,35])). % 59.54/59.67 cnf(1432,plain, % 59.54/59.67 (P2(f7(f3(f3(a9)),f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[756,25,1429,2,3,18])). % 59.54/59.67 cnf(1437,plain, % 59.54/59.67 (P4(a9,f7(f3(f3(a9)),f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[756,25,1429,2,3,18,50,19,21,20])). % 59.54/59.67 cnf(1612,plain, % 59.54/59.67 (P4(f7(f3(a9),a9),f5(f3(a9),f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[671,815,20])). % 59.54/59.67 cnf(1622,plain, % 59.54/59.67 (P4(f7(f3(a9),a9),f5(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[671,617,20])). % 59.54/59.67 cnf(1639,plain, % 59.54/59.67 (P4(f7(f3(a9),a9),x16391)+~E(f5(f3(a9),f3(a9)),x16391)), % 59.54/59.67 inference(scs_inference,[],[1263,1309,1612,20,21])). % 59.54/59.67 cnf(2183,plain, % 59.54/59.67 (P4(x21831,f5(f7(f3(a9),a9),f5(a9,f3(a9))))+~E(f5(a9,f7(f3(a9),a9)),x21831)), % 59.54/59.67 inference(scs_inference,[],[697,1622,25,614,672,72,20])). % 59.54/59.67 cnf(2200,plain, % 59.54/59.67 (P5(f2(a10),f12(f2(a10)))), % 59.54/59.67 inference(scs_inference,[],[398,1432,35,47])). % 59.54/59.67 cnf(2202,plain, % 59.54/59.67 (~E(f12(f2(a10)),a1)), % 59.54/59.67 inference(scs_inference,[],[398,1432,35,47,32])). % 59.54/59.67 cnf(2224,plain, % 59.54/59.67 (E(f5(x22241,f7(f3(a9),a9)),f5(x22241,f7(a9,f3(a9))))), % 59.54/59.67 inference(scs_inference,[],[398,1286,1432,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6])). % 59.54/59.67 cnf(2225,plain, % 59.54/59.67 (E(f7(f7(f3(a9),a9),x22251),f7(f7(a9,f3(a9)),x22251))), % 59.54/59.67 inference(scs_inference,[],[398,1286,1432,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7])). % 59.54/59.67 cnf(2233,plain, % 59.54/59.67 (P1(f12(f2(a10)))), % 59.54/59.67 inference(scs_inference,[],[398,1286,1432,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33])). % 59.54/59.67 cnf(2237,plain, % 59.54/59.67 (P1(f2(f11(a13)))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,83,1432,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34])). % 59.54/59.67 cnf(2243,plain, % 59.54/59.67 (E(f12(f4(f2(a13))),f2(a13))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,83,1432,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40])). % 59.54/59.67 cnf(2245,plain, % 59.54/59.67 (E(f5(f3(a9),f3(a9)),f5(a9,a9))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,83,1432,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57])). % 59.54/59.67 cnf(2247,plain, % 59.54/59.67 (E(f3(f5(a9,a9)),f5(a9,f3(a9)))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,83,1432,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60])). % 59.54/59.67 cnf(2249,plain, % 59.54/59.67 (E(f3(f5(a9,a9)),f5(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,83,1432,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61])). % 59.54/59.67 cnf(2251,plain, % 59.54/59.67 (P1(f4(f2(a13)))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,83,1432,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37])). % 59.54/59.67 cnf(2253,plain, % 59.54/59.67 (P2(f8(a10,f2(a10)))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,26,83,1432,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53])). % 59.54/59.67 cnf(2255,plain, % 59.54/59.67 (~E(f2(a10),a1)), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,26,83,1432,28,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3])). % 59.54/59.67 cnf(2256,plain, % 59.54/59.67 (E(f7(f7(a9,a9),a9),f7(a9,f7(a9,a9)))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,26,83,1432,28,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3,66])). % 59.54/59.67 cnf(2258,plain, % 59.54/59.67 (E(f5(f5(a9,a9),a9),f5(a9,f5(a9,a9)))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,26,83,1432,28,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3,66,67])). % 59.54/59.67 cnf(2260,plain, % 59.54/59.67 (E(f7(f5(a9,a9),f5(a9,a9)),f5(a9,f7(a9,a9)))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,26,83,1432,28,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3,66,67,69])). % 59.54/59.67 cnf(2262,plain, % 59.54/59.67 (E(f7(f5(a9,a9),f5(a9,a9)),f5(f7(a9,a9),a9))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,26,83,1432,28,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3,66,67,69,70])). % 59.54/59.67 cnf(2264,plain, % 59.54/59.67 (~E(f12(f2(a13)),f12(a1))), % 59.54/59.67 inference(scs_inference,[],[30,398,1286,396,26,83,1432,28,24,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3,66,67,69,70,48])). % 59.54/59.67 cnf(2272,plain, % 59.54/59.67 (~E(f8(f11(a13),f6(a10,f11(a13))),f8(a10,f6(a10,f11(a13))))), % 59.54/59.67 inference(scs_inference,[],[30,398,81,506,1286,396,1437,26,83,1432,493,107,28,24,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3,66,67,69,70,48,64,65,74,73])). % 59.54/59.67 cnf(2278,plain, % 59.54/59.67 (P4(a9,f5(a9,a9))), % 59.54/59.67 inference(scs_inference,[],[30,398,1323,81,506,1286,396,1437,26,83,1432,493,107,614,28,24,744,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3,66,67,69,70,48,64,65,74,73,71,43,817])). % 59.54/59.67 cnf(2280,plain, % 59.54/59.67 (P4(f7(a9,f3(a9)),f5(a9,a9))), % 59.54/59.67 inference(scs_inference,[],[30,398,1323,81,506,1286,396,1437,26,83,1432,493,107,614,28,24,744,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3,66,67,69,70,48,64,65,74,73,71,43,817,822,1324])). % 59.54/59.67 cnf(2283,plain, % 59.54/59.67 (E(f12(f2(f11(a10))),f2(a10))), % 59.54/59.67 inference(scs_inference,[],[30,398,1323,81,506,1286,396,1437,26,83,1432,493,107,614,28,24,744,25,29,35,47,32,36,41,42,54,38,39,12,15,16,45,46,5,6,7,8,10,11,13,14,856,9,33,2,4,34,51,52,40,57,60,61,37,53,3,66,67,69,70,48,64,65,74,73,71,43,817,822,1324,1639,23,77])). % 59.54/59.67 cnf(2298,plain, % 59.54/59.67 (P1(f2(a10))), % 59.54/59.67 inference(scs_inference,[],[2237,194])). % 59.54/59.67 cnf(2299,plain, % 59.54/59.67 (E(f8(f11(a13),f2(a10)),f8(a13,f2(a10)))), % 59.54/59.67 inference(scs_inference,[],[2237,865])). % 59.54/59.67 cnf(2300,plain, % 59.54/59.67 (~E(f12(f12(f2(a10))),a1)), % 59.54/59.67 inference(scs_inference,[],[2233,32])). % 59.54/59.67 cnf(2306,plain, % 59.54/59.67 (P4(a9,f5(f8(a10,f2(a10)),f8(a10,f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[2233,2253,32,42,41,54])). % 59.54/59.67 cnf(2313,plain, % 59.54/59.67 (P2(f3(f8(a10,f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[2245,2233,2253,32,42,41,54,38,11,46,35])). % 59.54/59.67 cnf(2329,plain, % 59.54/59.67 (P1(f12(f12(f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[2245,2233,2253,32,42,41,54,38,11,46,35,10,7,8,43,39,47,45,36,12,33])). % 59.54/59.67 cnf(2350,plain, % 59.54/59.67 (P2(f5(f8(a10,f2(a10)),f8(a10,f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[82,2245,2233,2253,2202,122,32,42,41,54,38,11,46,35,10,7,8,43,39,47,45,36,12,33,14,13,15,16,5,6,9,4,2,57,61,40,51,60,52])). % 59.54/59.67 cnf(2352,plain, % 59.54/59.67 (P1(f4(f12(f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[82,2245,2233,2253,2202,122,32,42,41,54,38,11,46,35,10,7,8,43,39,47,45,36,12,33,14,13,15,16,5,6,9,4,2,57,61,40,51,60,52,37])). % 59.54/59.67 cnf(2354,plain, % 59.54/59.67 (P2(f8(f11(a13),f12(f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[82,2245,2233,2253,2202,83,122,32,42,41,54,38,11,46,35,10,7,8,43,39,47,45,36,12,33,14,13,15,16,5,6,9,4,2,57,61,40,51,60,52,37,53])). % 59.54/59.67 cnf(2356,plain, % 59.54/59.67 (~E(f12(f2(f11(a13))),a1)), % 59.54/59.67 inference(scs_inference,[],[82,2255,2245,2233,2253,2202,83,102,122,32,42,41,54,38,11,46,35,10,7,8,43,39,47,45,36,12,33,14,13,15,16,5,6,9,4,2,57,61,40,51,60,52,37,53,3])). % 59.54/59.67 cnf(2367,plain, % 59.54/59.67 (P1(f6(a10,f11(a13)))), % 59.54/59.67 inference(scs_inference,[],[82,2255,2245,2233,2253,2202,81,1437,83,102,26,107,1432,122,32,42,41,54,38,11,46,35,10,7,8,43,39,47,45,36,12,33,14,13,15,16,5,6,9,4,2,57,61,40,51,60,52,37,53,3,69,66,67,70,64,62])). % 59.54/59.67 cnf(2382,plain, % 59.54/59.67 (~E(f12(f6(a10,f11(a13))),a1)), % 59.54/59.67 inference(scs_inference,[],[2367,2224,179,2183,41,32])). % 59.54/59.67 cnf(2395,plain, % 59.54/59.67 (P1(f12(f6(a10,f11(a13))))), % 59.54/59.67 inference(scs_inference,[],[2367,2247,2313,2224,179,2183,41,32,38,46,42,35,54,11,33])). % 59.54/59.67 cnf(2422,plain, % 59.54/59.67 (E(f12(f4(f2(a10))),f2(a10))), % 59.54/59.67 inference(scs_inference,[],[2298,2264,2367,2247,2313,2224,2255,179,2183,41,32,38,46,42,35,54,11,33,47,43,39,45,12,7,13,14,36,10,8,5,16,9,15,6,2,4,51,40])). % 59.54/59.67 cnf(2428,plain, % 59.54/59.67 (P2(f8(f11(a13),f2(a10)))), % 59.54/59.67 inference(scs_inference,[],[2298,2264,2367,2247,2313,2329,2300,2224,2255,179,83,2183,41,32,38,46,42,35,54,11,33,47,43,39,45,12,7,13,14,36,10,8,5,16,9,15,6,2,4,51,40,52,37,53])). % 59.54/59.67 cnf(2430,plain, % 59.54/59.67 (E(f3(f5(a9,a9)),f7(f3(a9),a9))), % 59.54/59.67 inference(scs_inference,[],[2298,2264,2367,2247,2313,2329,2300,2224,1310,2255,179,83,2183,41,32,38,46,42,35,54,11,33,47,43,39,45,12,7,13,14,36,10,8,5,16,9,15,6,2,4,51,40,52,37,53,3])). % 59.54/59.67 cnf(2431,plain, % 59.54/59.67 (P4(f7(a9,a9),f7(a9,a9))), % 59.54/59.67 inference(scs_inference,[],[2298,2264,2367,2247,2313,2329,2300,2224,1310,2255,179,83,25,87,2183,41,32,38,46,42,35,54,11,33,47,43,39,45,12,7,13,14,36,10,8,5,16,9,15,6,2,4,51,40,52,37,53,3,71])). % 59.54/59.67 cnf(2440,plain, % 59.54/59.67 (~E(f12(f4(f2(a13))),a1)), % 59.54/59.67 inference(scs_inference,[],[2251,32])). % 59.54/59.67 cnf(2448,plain, % 59.54/59.67 (P2(f3(f8(f11(a13),f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[2428,2251,32,46,42,41,35])). % 59.54/59.67 cnf(2454,plain, % 59.54/59.67 (P1(f12(f4(f2(a13))))), % 59.54/59.67 inference(scs_inference,[],[2428,2251,32,46,42,41,35,38,54,33])). % 59.54/59.67 cnf(2458,plain, % 59.54/59.67 (P5(f4(f2(a13)),f12(f4(f2(a13))))), % 59.54/59.67 inference(scs_inference,[],[2428,2251,32,46,42,41,35,38,54,33,36,47])). % 59.54/59.67 cnf(2462,plain, % 59.54/59.67 (E(f5(a9,f8(f11(a13),f2(a10))),a9)), % 59.54/59.67 inference(scs_inference,[],[2428,2251,32,46,42,41,35,38,54,33,36,47,45,39])). % 59.54/59.67 cnf(2486,plain, % 59.54/59.67 (P2(f8(f11(a13),f2(f11(a13))))), % 59.54/59.67 inference(scs_inference,[],[2428,2237,2251,353,2249,2395,2382,83,32,46,42,41,35,38,54,33,36,47,45,39,43,11,13,10,14,15,12,7,8,16,5,9,6,2,4,51,37,52,53])). % 59.54/59.67 cnf(2533,plain, % 59.54/59.67 (~E(a1,f12(f2(f11(a13))))), % 59.54/59.67 inference(scs_inference,[],[2260,2448,2352,2356,396,614,543,42,32,35,38,46,54,41,33,47,36,45,14,43,39,11,7,12,15,13,10,5,16,8,6,9,2])). % 59.54/59.67 cnf(2543,plain, % 59.54/59.67 (E(f12(f4(f2(a10))),f12(f2(f11(a13))))), % 59.54/59.67 inference(scs_inference,[],[2260,2422,2448,2352,2356,397,396,102,83,614,543,42,32,35,38,46,54,41,33,47,36,45,14,43,39,11,7,12,15,13,10,5,16,8,6,9,2,4,51,37,52,53,3])). % 59.54/59.67 cnf(2544,plain, % 59.54/59.67 (P4(a9,f5(f7(a9,f3(a9)),f7(a9,f3(a9))))), % 59.54/59.67 inference(scs_inference,[],[2260,2422,2448,2352,2356,397,396,102,83,770,614,543,744,42,32,35,38,46,54,41,33,47,36,45,14,43,39,11,7,12,15,13,10,5,16,8,6,9,2,4,51,37,52,53,3,65])). % 59.54/59.67 cnf(2550,plain, % 59.54/59.67 (E(f12(f4(f2(a10))),f2(a13))), % 59.54/59.67 inference(scs_inference,[],[2260,2422,2448,2352,2356,2350,2306,397,396,102,83,770,614,543,744,25,87,42,32,35,38,46,54,41,33,47,36,45,14,43,39,11,7,12,15,13,10,5,16,8,6,9,2,4,51,37,52,53,3,65,64,71,93])). % 59.54/59.67 cnf(2554,plain, % 59.54/59.67 (P3(f11(a10))), % 59.54/59.67 inference(scs_inference,[],[2260,2422,2243,2448,2352,2356,2350,2458,2306,397,2255,396,102,83,26,770,614,543,744,25,87,42,32,35,38,46,54,41,33,47,36,45,14,43,39,11,7,12,15,13,10,5,16,8,6,9,2,4,51,37,52,53,3,65,64,71,93,77,23,75])). % 59.54/59.67 cnf(2558,plain, % 59.54/59.67 (P1(f2(f11(a10)))), % 59.54/59.67 inference(scs_inference,[],[2260,2422,2243,2448,2352,2356,2350,2458,2306,397,2255,396,102,83,26,770,614,543,744,25,87,42,32,35,38,46,54,41,33,47,36,45,14,43,39,11,7,12,15,13,10,5,16,8,6,9,2,4,51,37,52,53,3,65,64,71,93,77,23,75,72,34])). % 59.54/59.67 cnf(2565,plain, % 59.54/59.67 (~E(f12(f2(f11(a10))),a1)), % 59.54/59.67 inference(scs_inference,[],[2558,2354,543,35,42,32])). % 59.54/59.67 cnf(2575,plain, % 59.54/59.67 (P1(f12(f2(f11(a10))))), % 59.54/59.67 inference(scs_inference,[],[2558,2354,543,672,35,42,32,54,46,41,38,33])). % 59.54/59.67 cnf(2607,plain, % 59.54/59.67 (P2(f8(f11(a10),f2(f11(a10))))), % 59.54/59.67 inference(scs_inference,[],[2554,2558,2262,2454,2354,2440,543,672,35,42,32,54,46,41,38,33,36,47,39,45,43,10,12,14,15,13,11,7,8,16,5,9,6,4,2,37,51,52,53])). % 59.54/59.67 cnf(2609,plain, % 59.54/59.67 (~E(a1,f12(f4(f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[2554,2558,2262,2533,2454,2354,2440,2543,543,672,35,42,32,54,46,41,38,33,36,47,39,45,43,10,12,14,15,13,11,7,8,16,5,9,6,4,2,37,51,52,53,3])). % 59.54/59.67 cnf(2660,plain, % 59.54/59.67 (P2(f8(a13,f2(a10)))), % 59.54/59.67 inference(scs_inference,[],[2258,2575,2486,2565,2299,2428,24,744,32,35,41,46,42,38,33,47,36,39,45,43,15,13,10,11,7,12,14,5,16,6,8,9,2,4,18])). % 59.54/59.67 cnf(2667,plain, % 59.54/59.67 (P2(f5(f7(a9,f3(a9)),f7(a9,f3(a9))))), % 59.54/59.67 inference(scs_inference,[],[2258,2575,2486,2565,2554,2299,2428,24,744,32,35,41,46,42,38,33,47,36,39,45,43,15,13,10,11,7,12,14,5,16,6,8,9,2,4,18,51,37,53,52])). % 59.54/59.67 cnf(2689,plain, % 59.54/59.67 (P2(f3(f8(a13,f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[2660,400,41,32,42,38,35])). % 59.54/59.67 cnf(2715,plain, % 59.54/59.67 (~E(f12(f4(f2(a10))),a1)), % 59.54/59.67 inference(scs_inference,[],[2660,2256,2609,400,41,32,42,38,35,46,33,36,39,45,43,13,7,15,12,14,10,11,5,8,6,16,9,2])). % 59.54/59.67 cnf(2717,plain, % 59.54/59.67 (P1(f4(f2(a10)))), % 59.54/59.67 inference(scs_inference,[],[2660,2256,2609,400,401,2255,41,32,42,38,35,46,33,36,39,45,43,13,7,15,12,14,10,11,5,8,6,16,9,2,4,37])). % 59.54/59.67 cnf(2723,plain, % 59.54/59.67 (~E(f12(f12(f2(f11(a13)))),f12(a1))), % 59.54/59.67 inference(scs_inference,[],[2660,2256,2609,400,401,2356,2255,24,41,32,42,38,35,46,33,36,39,45,43,13,7,15,12,14,10,11,5,8,6,16,9,2,4,37,51,52,48])). % 59.54/59.67 cnf(2727,plain, % 59.54/59.67 (P5(f4(f2(a10)),f12(f4(f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[2660,2256,2609,400,401,2356,2255,770,24,744,41,32,42,38,35,46,33,36,39,45,43,13,7,15,12,14,10,11,5,8,6,16,9,2,4,37,51,52,48,64,47])). % 59.54/59.67 cnf(2736,plain, % 59.54/59.67 (E(f7(a9,a9),a9)), % 59.54/59.67 inference(scs_inference,[],[25,42])). % 59.54/59.67 cnf(2742,plain, % 59.54/59.67 (~E(f12(f12(f6(a10,f11(a13)))),a1)), % 59.54/59.67 inference(scs_inference,[],[2689,2395,25,672,42,41,35,32])). % 59.54/59.67 cnf(2746,plain, % 59.54/59.67 (P1(f12(f4(f2(a10))))), % 59.54/59.67 inference(scs_inference,[],[2717,2689,2395,25,672,42,41,35,32,46,33])). % 59.54/59.67 cnf(2772,plain, % 59.54/59.67 (P2(f7(a9,a9))), % 59.54/59.67 inference(scs_inference,[],[2717,2430,2689,2723,2395,25,672,42,41,35,32,46,33,38,36,39,45,43,10,15,13,7,11,5,12,14,8,16,6,9,2,4,51])). % 59.54/59.67 cnf(2778,plain, % 59.54/59.67 (P2(f5(a9,a9))), % 59.54/59.67 inference(scs_inference,[],[2717,2430,2689,2715,2723,2395,2554,25,672,42,41,35,32,46,33,38,36,39,45,43,10,15,13,7,11,5,12,14,8,16,6,9,2,4,51,53,37,52])). % 59.54/59.67 cnf(2789,plain, % 59.54/59.67 (~E(f12(f2(f11(a13))),f12(f2(f11(a10))))), % 59.54/59.67 inference(scs_inference,[],[30,2717,2430,2689,2715,2462,2723,2395,2237,2554,1336,2558,25,672,42,41,35,32,46,33,38,36,39,45,43,10,15,13,7,11,5,12,14,8,16,6,9,2,4,51,53,37,52,3,69,66,67,70,48])). % 59.54/59.67 cnf(2791,plain, % 59.54/59.67 (P4(a9,f5(f5(a9,a9),f5(a9,a9)))), % 59.54/59.67 inference(scs_inference,[],[30,2717,2430,2689,2715,2462,2723,2278,2395,2237,2554,1336,2558,25,672,42,41,35,32,46,33,38,36,39,45,43,10,15,13,7,11,5,12,14,8,16,6,9,2,4,51,53,37,52,3,69,66,67,70,48,65])). % 59.54/59.67 cnf(2795,plain, % 59.54/59.67 (P4(f7(f7(f3(a9),a9),f7(a9,f3(a9))),f7(f7(a9,f3(a9)),f5(a9,a9)))), % 59.54/59.67 inference(scs_inference,[],[30,2280,2717,2430,2689,2715,2462,2667,2544,2723,1299,2278,2395,2237,2554,1336,2558,744,25,87,672,42,41,35,32,46,33,38,36,39,45,43,10,15,13,7,11,5,12,14,8,16,6,9,2,4,51,53,37,52,3,69,66,67,70,48,65,64,71])). % 59.54/59.67 cnf(2824,plain, % 59.54/59.67 (E(f7(f5(a9,a9),a9),f5(a9,a9))), % 59.54/59.67 inference(scs_inference,[],[2778,41])). % 59.54/59.67 cnf(2832,plain, % 59.54/59.67 (P2(f3(f5(a9,a9)))), % 59.54/59.67 inference(scs_inference,[],[2778,2746,41,42,32,46,35])). % 59.54/59.67 cnf(2848,plain, % 59.54/59.67 (E(f6(f7(a9,a9),x28481),f6(a9,x28481))), % 59.54/59.67 inference(scs_inference,[],[2778,2736,2746,2607,41,42,32,46,35,33,54,38,36,45,39,43,10])). % 59.54/59.67 cnf(2855,plain, % 59.54/59.67 (E(f6(x28551,f7(a9,a9)),f6(x28551,a9))), % 59.54/59.67 inference(scs_inference,[],[2778,2736,2746,2607,41,42,32,46,35,33,54,38,36,45,39,43,10,7,12,13,5,15,8,11])). % 59.54/59.67 cnf(2872,plain, % 59.54/59.67 (P2(f7(f5(a9,a9),f5(a9,a9)))), % 59.54/59.67 inference(scs_inference,[],[2778,2736,2200,2550,2746,2607,2727,2272,2554,102,41,42,32,46,35,33,54,38,36,45,39,43,10,7,12,13,5,15,8,11,14,6,9,16,2,4,57,61,60,23,22,53,51])). % 59.54/59.67 cnf(2874,plain, % 59.54/59.67 (P2(f5(f5(a9,a9),f5(a9,a9)))), % 59.54/59.67 inference(scs_inference,[],[2778,2736,2200,2550,2746,2607,2727,2272,2554,102,41,42,32,46,35,33,54,38,36,45,39,43,10,7,12,13,5,15,8,11,14,6,9,16,2,4,57,61,60,23,22,53,51,52])). % 59.54/59.67 cnf(2876,plain, % 59.54/59.67 (~E(f2(a13),f12(f2(f11(a10))))), % 59.54/59.67 inference(scs_inference,[],[2778,2736,2200,2550,2746,2607,2727,2272,2789,2554,85,102,41,42,32,46,35,33,54,38,36,45,39,43,10,7,12,13,5,15,8,11,14,6,9,16,2,4,57,61,60,23,22,53,51,52,3])). % 59.54/59.67 cnf(2879,plain, % 59.54/59.67 (P4(f7(a9,a9),a9)), % 59.54/59.67 inference(scs_inference,[],[2778,2736,2200,2550,2746,2607,2727,2795,2272,2789,2225,2431,2554,85,102,41,42,32,46,35,33,54,38,36,45,39,43,10,7,12,13,5,15,8,11,14,6,9,16,2,4,57,61,60,23,22,53,51,52,3,20,21])). % 59.54/59.67 cnf(2914,plain, % 59.54/59.67 (P2(f3(f3(f5(a9,a9))))), % 59.54/59.67 inference(scs_inference,[],[2832,42,41,46,35])). % 59.54/59.67 cnf(2944,plain, % 59.54/59.67 (~E(f12(f2(f11(a10))),f2(a13))), % 59.54/59.67 inference(scs_inference,[],[2824,2832,2872,2876,2329,42,41,46,35,32,33,38,54,45,36,43,39,12,15,7,10,5,11,13,8,9,14,6,16,2])). % 59.54/59.67 cnf(2967,plain, % 59.54/59.67 (E(a9,f7(a9,a9))), % 59.54/59.67 inference(scs_inference,[],[2879,2824,2848,2855,2832,2872,2874,2876,2772,2329,2791,2717,25,27,29,233,42,41,46,35,32,33,38,54,45,36,43,39,12,15,7,10,5,11,13,8,9,14,6,16,2,4,61,57,60,51,52,3,65,71,37,49,59])). % 59.54/59.67 cnf(3011,plain, % 59.54/59.67 ($false), % 59.54/59.67 inference(scs_inference,[],[2967,2283,2944,2914,2742,2872,2454,80,41,35,32,46,42,33,38,36,45,39,43,7,11,15,5,12,10,8,13,6,14,9,16,2,4,51,52,3]), % 59.54/59.67 ['proof']). % 59.54/59.67 % SZS output end Proof % 59.54/59.67 % Total time :58.900000s %------------------------------------------------------------------------------