%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : RNG087+2 : 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 : n026.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 14:01:01 EDT 2024 % Result : Theorem 0.56s 0.65s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : RNG087+2 : TPTP v8.2.0. Released v4.0.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n026.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Jun 18 14:05:09 EDT 2024 % 0.13/0.34 % CPUTime : % 0.44/0.58 start to proof:theBenchmark % 0.44/0.63 %------------------------------------------- % 0.44/0.63 % File :CSE---1.7 % 0.44/0.63 % Problem :theBenchmark % 0.44/0.63 % Transform :cnf % 0.44/0.63 % Format :tptp:raw % 0.44/0.63 % Command :java -jar mcs_scs.jar %d %s % 0.44/0.63 % 0.44/0.63 % Result :Theorem 0.010000s % 0.44/0.63 % Output :CNFRefutation 0.010000s % 0.44/0.63 %------------------------------------------- % 0.44/0.64 %------------------------------------------------------------------------------ % 0.44/0.64 % File : RNG087+2 : TPTP v8.2.0. Released v4.0.0. % 0.44/0.64 % Domain : Ring Theory % 0.44/0.64 % Problem : Chinese remainder theorem in a ring 03_02, 01 expansion % 0.44/0.64 % Version : Especial. % 0.44/0.64 % English : % 0.44/0.64 % 0.44/0.64 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 0.44/0.64 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 0.44/0.64 % Source : [Pas08] % 0.44/0.64 % Names : chines_03_02.01 [Pas08] % 0.44/0.64 % 0.44/0.64 % Status : Theorem % 0.44/0.64 % Rating : 0.11 v8.1.0, 0.06 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.1.0, 0.17 v5.5.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.39 v4.0.1, 0.78 v4.0.0 % 0.44/0.64 % Syntax : Number of formulae : 28 ( 3 unt; 3 def) % 0.44/0.64 % Number of atoms : 115 ( 28 equ) % 0.44/0.64 % Maximal formula atoms : 14 ( 4 avg) % 0.44/0.64 % Number of connectives : 88 ( 1 ~; 1 |; 47 &) % 0.44/0.64 % ( 5 <=>; 34 =>; 0 <=; 0 <~>) % 0.44/0.64 % Maximal formula depth : 13 ( 5 avg) % 0.44/0.64 % Maximal term depth : 3 ( 1 avg) % 0.44/0.64 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty) % 0.44/0.64 % Number of functors : 14 ( 14 usr; 9 con; 0-2 aty) % 0.44/0.64 % Number of variables : 59 ( 51 !; 8 ?) % 0.44/0.64 % SPC : FOF_THM_RFO_SEQ % 0.44/0.64 % 0.44/0.64 % Comments : Problem generated by the SAD system [VLP07] % 0.44/0.64 %------------------------------------------------------------------------------ % 0.44/0.64 fof(mElmSort,axiom, % 0.44/0.64 ! [W0] : % 0.44/0.64 ( aElement0(W0) % 0.44/0.64 => $true ) ). % 0.44/0.64 % 0.44/0.64 fof(mSortsC,axiom, % 0.44/0.64 aElement0(sz00) ). % 0.44/0.64 % 0.44/0.64 fof(mSortsC_01,axiom, % 0.44/0.64 aElement0(sz10) ). % 0.44/0.64 % 0.56/0.64 fof(mSortsU,axiom, % 0.56/0.64 ! [W0] : % 0.56/0.64 ( aElement0(W0) % 0.56/0.64 => aElement0(smndt0(W0)) ) ). % 0.56/0.64 % 0.56/0.64 fof(mSortsB,axiom, % 0.56/0.64 ! [W0,W1] : % 0.56/0.64 ( ( aElement0(W0) % 0.56/0.64 & aElement0(W1) ) % 0.56/0.64 => aElement0(sdtpldt0(W0,W1)) ) ). % 0.56/0.64 % 0.56/0.64 fof(mSortsB_02,axiom, % 0.56/0.64 ! [W0,W1] : % 0.56/0.64 ( ( aElement0(W0) % 0.56/0.64 & aElement0(W1) ) % 0.56/0.64 => aElement0(sdtasdt0(W0,W1)) ) ). % 0.56/0.64 % 0.56/0.64 fof(mAddComm,axiom, % 0.56/0.64 ! [W0,W1] : % 0.56/0.64 ( ( aElement0(W0) % 0.56/0.64 & aElement0(W1) ) % 0.56/0.64 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ). % 0.56/0.64 % 0.56/0.64 fof(mAddAsso,axiom, % 0.56/0.64 ! [W0,W1,W2] : % 0.56/0.64 ( ( aElement0(W0) % 0.56/0.64 & aElement0(W1) % 0.56/0.64 & aElement0(W2) ) % 0.56/0.64 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ). % 0.56/0.64 % 0.56/0.64 fof(mAddZero,axiom, % 0.56/0.64 ! [W0] : % 0.56/0.64 ( aElement0(W0) % 0.56/0.64 => ( sdtpldt0(W0,sz00) = W0 % 0.56/0.64 & W0 = sdtpldt0(sz00,W0) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mAddInvr,axiom, % 0.56/0.64 ! [W0] : % 0.56/0.64 ( aElement0(W0) % 0.56/0.64 => ( sdtpldt0(W0,smndt0(W0)) = sz00 % 0.56/0.64 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mMulComm,axiom, % 0.56/0.64 ! [W0,W1] : % 0.56/0.64 ( ( aElement0(W0) % 0.56/0.64 & aElement0(W1) ) % 0.56/0.64 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ). % 0.56/0.64 % 0.56/0.64 fof(mMulAsso,axiom, % 0.56/0.64 ! [W0,W1,W2] : % 0.56/0.64 ( ( aElement0(W0) % 0.56/0.64 & aElement0(W1) % 0.56/0.64 & aElement0(W2) ) % 0.56/0.64 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ). % 0.56/0.64 % 0.56/0.64 fof(mMulUnit,axiom, % 0.56/0.64 ! [W0] : % 0.56/0.64 ( aElement0(W0) % 0.56/0.64 => ( sdtasdt0(W0,sz10) = W0 % 0.56/0.64 & W0 = sdtasdt0(sz10,W0) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mAMDistr,axiom, % 0.56/0.64 ! [W0,W1,W2] : % 0.56/0.64 ( ( aElement0(W0) % 0.56/0.64 & aElement0(W1) % 0.56/0.64 & aElement0(W2) ) % 0.56/0.64 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) % 0.56/0.64 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mMulMnOne,axiom, % 0.56/0.64 ! [W0] : % 0.56/0.64 ( aElement0(W0) % 0.56/0.64 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0) % 0.56/0.64 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mMulZero,axiom, % 0.56/0.64 ! [W0] : % 0.56/0.64 ( aElement0(W0) % 0.56/0.64 => ( sdtasdt0(W0,sz00) = sz00 % 0.56/0.64 & sz00 = sdtasdt0(sz00,W0) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mCancel,axiom, % 0.56/0.64 ! [W0,W1] : % 0.56/0.64 ( ( aElement0(W0) % 0.56/0.64 & aElement0(W1) ) % 0.56/0.64 => ( sdtasdt0(W0,W1) = sz00 % 0.56/0.64 => ( W0 = sz00 % 0.56/0.64 | W1 = sz00 ) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mUnNeZr,axiom, % 0.56/0.64 sz10 != sz00 ). % 0.56/0.64 % 0.56/0.64 fof(mSetSort,axiom, % 0.56/0.64 ! [W0] : % 0.56/0.64 ( aSet0(W0) % 0.56/0.64 => $true ) ). % 0.56/0.64 % 0.56/0.64 fof(mEOfElem,axiom, % 0.56/0.64 ! [W0] : % 0.56/0.64 ( aSet0(W0) % 0.56/0.64 => ! [W1] : % 0.56/0.64 ( aElementOf0(W1,W0) % 0.56/0.64 => aElement0(W1) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mSetEq,axiom, % 0.56/0.64 ! [W0,W1] : % 0.56/0.64 ( ( aSet0(W0) % 0.56/0.64 & aSet0(W1) ) % 0.56/0.64 => ( ( ! [W2] : % 0.56/0.64 ( aElementOf0(W2,W0) % 0.56/0.64 => aElementOf0(W2,W1) ) % 0.56/0.64 & ! [W2] : % 0.56/0.64 ( aElementOf0(W2,W1) % 0.56/0.64 => aElementOf0(W2,W0) ) ) % 0.56/0.64 => W0 = W1 ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mDefSSum,definition, % 0.56/0.64 ! [W0,W1] : % 0.56/0.64 ( ( aSet0(W0) % 0.56/0.64 & aSet0(W1) ) % 0.56/0.64 => ! [W2] : % 0.56/0.64 ( W2 = sdtpldt1(W0,W1) % 0.56/0.64 <=> ( aSet0(W2) % 0.56/0.64 & ! [W3] : % 0.56/0.64 ( aElementOf0(W3,W2) % 0.56/0.64 <=> ? [W4,W5] : % 0.56/0.64 ( aElementOf0(W4,W0) % 0.56/0.64 & aElementOf0(W5,W1) % 0.56/0.64 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mDefSInt,definition, % 0.56/0.64 ! [W0,W1] : % 0.56/0.64 ( ( aSet0(W0) % 0.56/0.64 & aSet0(W1) ) % 0.56/0.64 => ! [W2] : % 0.56/0.64 ( W2 = sdtasasdt0(W0,W1) % 0.56/0.64 <=> ( aSet0(W2) % 0.56/0.64 & ! [W3] : % 0.56/0.64 ( aElementOf0(W3,W2) % 0.56/0.64 <=> ( aElementOf0(W3,W0) % 0.56/0.64 & aElementOf0(W3,W1) ) ) ) ) ) ). % 0.56/0.64 % 0.56/0.64 fof(mDefIdeal,definition, % 0.56/0.65 ! [W0] : % 0.56/0.65 ( aIdeal0(W0) % 0.56/0.65 <=> ( aSet0(W0) % 0.56/0.65 & ! [W1] : % 0.56/0.65 ( aElementOf0(W1,W0) % 0.56/0.65 => ( ! [W2] : % 0.56/0.65 ( aElementOf0(W2,W0) % 0.56/0.65 => aElementOf0(sdtpldt0(W1,W2),W0) ) % 0.56/0.65 & ! [W2] : % 0.56/0.65 ( aElement0(W2) % 0.56/0.65 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ). % 0.56/0.65 % 0.56/0.65 fof(m__870,hypothesis, % 0.56/0.65 ( aSet0(xI) % 0.56/0.65 & ! [W0] : % 0.56/0.65 ( aElementOf0(W0,xI) % 0.56/0.65 => ( ! [W1] : % 0.56/0.65 ( aElementOf0(W1,xI) % 0.56/0.65 => aElementOf0(sdtpldt0(W0,W1),xI) ) % 0.56/0.65 & ! [W1] : % 0.56/0.65 ( aElement0(W1) % 0.56/0.65 => aElementOf0(sdtasdt0(W1,W0),xI) ) ) ) % 0.56/0.65 & aIdeal0(xI) % 0.56/0.65 & aSet0(xJ) % 0.56/0.65 & ! [W0] : % 0.56/0.65 ( aElementOf0(W0,xJ) % 0.56/0.65 => ( ! [W1] : % 0.56/0.65 ( aElementOf0(W1,xJ) % 0.56/0.65 => aElementOf0(sdtpldt0(W0,W1),xJ) ) % 0.56/0.65 & ! [W1] : % 0.56/0.65 ( aElement0(W1) % 0.56/0.65 => aElementOf0(sdtasdt0(W1,W0),xJ) ) ) ) % 0.56/0.65 & aIdeal0(xJ) ) ). % 0.56/0.65 % 0.56/0.65 fof(m__901,hypothesis, % 0.56/0.65 ( ? [W0,W1] : % 0.56/0.65 ( aElementOf0(W0,xI) % 0.56/0.65 & aElementOf0(W1,xJ) % 0.56/0.65 & sdtpldt0(W0,W1) = xx ) % 0.56/0.65 & aElementOf0(xx,sdtpldt1(xI,xJ)) % 0.56/0.65 & ? [W0,W1] : % 0.56/0.65 ( aElementOf0(W0,xI) % 0.56/0.65 & aElementOf0(W1,xJ) % 0.56/0.65 & sdtpldt0(W0,W1) = xy ) % 0.56/0.65 & aElementOf0(xy,sdtpldt1(xI,xJ)) % 0.56/0.65 & aElement0(xz) ) ). % 0.56/0.65 % 0.56/0.65 fof(m__934,hypothesis, % 0.56/0.65 ( aElementOf0(xk,xI) % 0.56/0.65 & aElementOf0(xl,xJ) % 0.56/0.65 & xx = sdtpldt0(xk,xl) ) ). % 0.56/0.65 % 0.56/0.65 fof(m__,conjecture, % 0.56/0.65 ? [W0,W1] : % 0.56/0.65 ( aElementOf0(W0,xI) % 0.56/0.65 & aElementOf0(W1,xJ) % 0.56/0.65 & xy = sdtpldt0(W0,W1) ) ). % 0.56/0.65 % 0.56/0.65 %------------------------------------------------------------------------------ % 0.56/0.65 %------------------------------------------- % 0.56/0.65 % Proof found % 0.56/0.65 % SZS status Theorem for theBenchmark % 0.56/0.65 % SZS output start Proof % 0.56/0.65 %ClaNum:117(EqnAxiom:44) % 0.56/0.65 %VarNum:412(SingletonVarNum:124) % 0.56/0.65 %MaxLitNum:8 % 0.56/0.65 %MaxfuncDepth:2 % 0.56/0.65 %SharedTerms:37 % 0.56/0.65 %goalClause: 86 % 0.56/0.65 [45]P1(a1) % 0.56/0.65 [46]P1(a22) % 0.56/0.65 [47]P1(a23) % 0.56/0.65 [48]P2(a24) % 0.56/0.65 [49]P2(a25) % 0.56/0.65 [50]P3(a24) % 0.56/0.65 [51]P3(a25) % 0.56/0.65 [55]P4(a26,a24) % 0.56/0.65 [56]P4(a27,a25) % 0.56/0.65 [57]P4(a3,a24) % 0.56/0.65 [58]P4(a6,a25) % 0.56/0.65 [59]P4(a7,a24) % 0.56/0.65 [60]P4(a8,a25) % 0.56/0.65 [63]~E(a1,a22) % 0.56/0.65 [52]E(f2(a26,a27),a28) % 0.56/0.65 [53]E(f2(a3,a6),a28) % 0.56/0.65 [54]E(f2(a7,a8),a29) % 0.56/0.65 [61]P4(a28,f20(a24,a25)) % 0.56/0.65 [62]P4(a29,f20(a24,a25)) % 0.56/0.65 [64]~P3(x641)+P2(x641) % 0.56/0.65 [65]~P1(x651)+P1(f21(x651)) % 0.56/0.65 [66]~P1(x661)+E(f9(a1,x661),a1) % 0.56/0.65 [67]~P1(x671)+E(f9(x671,a1),a1) % 0.56/0.65 [68]~P1(x681)+E(f2(a1,x681),x681) % 0.56/0.65 [69]~P1(x691)+E(f9(a22,x691),x691) % 0.56/0.65 [70]~P1(x701)+E(f2(x701,a1),x701) % 0.56/0.65 [71]~P1(x711)+E(f9(x711,a22),x711) % 0.56/0.65 [72]~P1(x721)+E(f2(f21(x721),x721),a1) % 0.56/0.65 [73]~P1(x731)+E(f2(x731,f21(x731)),a1) % 0.56/0.65 [74]~P1(x741)+E(f9(x741,f21(a22)),f21(x741)) % 0.56/0.65 [75]~P1(x751)+E(f9(f21(a22),x751),f21(x751)) % 0.56/0.65 [76]~P2(x761)+P3(x761)+P4(f10(x761),x761) % 0.56/0.65 [77]~P4(x771,x772)+P1(x771)+~P2(x772) % 0.56/0.65 [79]~P1(x792)+~P1(x791)+E(f2(x791,x792),f2(x792,x791)) % 0.56/0.65 [80]~P1(x802)+~P1(x801)+E(f9(x801,x802),f9(x802,x801)) % 0.56/0.65 [84]~P1(x842)+~P1(x841)+P1(f2(x841,x842)) % 0.56/0.65 [85]~P1(x852)+~P1(x851)+P1(f9(x851,x852)) % 0.56/0.65 [86]~P4(x862,a25)+~P4(x861,a24)+~E(f2(x861,x862),a29) % 0.56/0.65 [87]~P1(x871)+~P4(x872,a24)+P4(f9(x871,x872),a24) % 0.56/0.65 [88]~P1(x881)+~P4(x882,a25)+P4(f9(x881,x882),a25) % 0.56/0.65 [92]~P4(x921,a24)+~P4(x922,a24)+P4(f2(x921,x922),a24) % 0.56/0.65 [93]~P4(x931,a25)+~P4(x932,a25)+P4(f2(x931,x932),a25) % 0.56/0.65 [83]~P2(x831)+P3(x831)+P4(f5(x831),x831)+P1(f4(x831)) % 0.56/0.65 [102]~P2(x1021)+P3(x1021)+P1(f4(x1021))+~P4(f2(f10(x1021),f5(x1021)),x1021) % 0.56/0.65 [105]~P2(x1051)+P3(x1051)+P4(f5(x1051),x1051)+~P4(f9(f4(x1051),f10(x1051)),x1051) % 0.56/0.65 [107]~P2(x1071)+P3(x1071)+~P4(f2(f10(x1071),f5(x1071)),x1071)+~P4(f9(f4(x1071),f10(x1071)),x1071) % 0.56/0.65 [81]~P2(x813)+~P2(x812)+P2(x811)+~E(x811,f20(x812,x813)) % 0.56/0.65 [82]~P2(x823)+~P2(x822)+P2(x821)+~E(x821,f19(x822,x823)) % 0.56/0.65 [91]~P1(x911)+~P3(x913)+~P4(x912,x913)+P4(f9(x911,x912),x913) % 0.56/0.65 [94]~P3(x943)+~P4(x941,x943)+~P4(x942,x943)+P4(f2(x941,x942),x943) % 0.56/0.65 [97]~P1(x973)+~P1(x972)+~P1(x971)+E(f2(f2(x971,x972),x973),f2(x971,f2(x972,x973))) % 0.56/0.65 [98]~P1(x983)+~P1(x982)+~P1(x981)+E(f9(f9(x981,x982),x983),f9(x981,f9(x982,x983))) % 0.56/0.65 [103]~P1(x1033)+~P1(x1032)+~P1(x1031)+E(f2(f9(x1031,x1032),f9(x1031,x1033)),f9(x1031,f2(x1032,x1033))) % 0.56/0.65 [104]~P1(x1042)+~P1(x1043)+~P1(x1041)+E(f2(f9(x1041,x1042),f9(x1043,x1042)),f9(f2(x1041,x1043),x1042)) % 0.56/0.65 [78]~P1(x781)+~P1(x782)+E(x781,a1)+E(x782,a1)+~E(f9(x782,x781),a1) % 0.56/0.65 [95]~P2(x952)+~P2(x951)+E(x951,x952)+P4(f11(x951,x952),x951)+P4(f12(x951,x952),x952) % 0.56/0.65 [99]~P2(x992)+~P2(x991)+E(x991,x992)+P4(f11(x991,x992),x991)+~P4(f12(x991,x992),x991) % 0.56/0.65 [100]~P2(x1002)+~P2(x1001)+E(x1001,x1002)+P4(f12(x1001,x1002),x1002)+~P4(f11(x1001,x1002),x1002) % 0.56/0.65 [106]~P2(x1062)+~P2(x1061)+E(x1061,x1062)+~P4(f11(x1061,x1062),x1062)+~P4(f12(x1061,x1062),x1061) % 0.56/0.65 [89]~P2(x894)+~P2(x892)+~P4(x891,x893)+P4(x891,x892)+~E(x893,f19(x894,x892)) % 0.56/0.65 [90]~P2(x904)+~P2(x902)+~P4(x901,x903)+P4(x901,x902)+~E(x903,f19(x902,x904)) % 0.56/0.65 [114]~P2(x1142)+~P2(x1141)+~P4(x1144,x1143)+~E(x1143,f20(x1141,x1142))+P4(f14(x1141,x1142,x1143,x1144),x1141) % 0.56/0.65 [115]~P2(x1152)+~P2(x1151)+~P4(x1154,x1153)+~E(x1153,f20(x1151,x1152))+P4(f15(x1151,x1152,x1153,x1154),x1152) % 0.56/0.65 [117]~P2(x1172)+~P2(x1171)+~P4(x1174,x1173)+~E(x1173,f20(x1171,x1172))+E(f2(f14(x1171,x1172,x1173,x1174),f15(x1171,x1172,x1173,x1174)),x1174) % 0.56/0.65 [108]~P2(x1081)+~P2(x1083)+~P2(x1082)+P4(f13(x1082,x1083,x1081),x1081)+P4(f16(x1082,x1083,x1081),x1082)+E(x1081,f20(x1082,x1083)) % 0.56/0.65 [109]~P2(x1091)+~P2(x1093)+~P2(x1092)+P4(f13(x1092,x1093,x1091),x1091)+P4(f17(x1092,x1093,x1091),x1093)+E(x1091,f20(x1092,x1093)) % 0.56/0.65 [110]~P2(x1101)+~P2(x1103)+~P2(x1102)+P4(f18(x1102,x1103,x1101),x1101)+P4(f18(x1102,x1103,x1101),x1103)+E(x1101,f19(x1102,x1103)) % 0.56/0.65 [111]~P2(x1111)+~P2(x1113)+~P2(x1112)+P4(f18(x1112,x1113,x1111),x1111)+P4(f18(x1112,x1113,x1111),x1112)+E(x1111,f19(x1112,x1113)) % 0.56/0.65 [113]~P2(x1131)+~P2(x1133)+~P2(x1132)+P4(f13(x1132,x1133,x1131),x1131)+E(x1131,f20(x1132,x1133))+E(f2(f16(x1132,x1133,x1131),f17(x1132,x1133,x1131)),f13(x1132,x1133,x1131)) % 0.56/0.65 [96]~P2(x964)+~P2(x963)+~P4(x961,x964)+~P4(x961,x963)+P4(x961,x962)+~E(x962,f19(x963,x964)) % 0.56/0.65 [116]~P2(x1161)+~P2(x1163)+~P2(x1162)+~P4(f18(x1162,x1163,x1161),x1161)+~P4(f18(x1162,x1163,x1161),x1163)+~P4(f18(x1162,x1163,x1161),x1162)+E(x1161,f19(x1162,x1163)) % 0.56/0.65 [101]~P2(x1014)+~P2(x1013)+~P4(x1016,x1014)+~P4(x1015,x1013)+P4(x1011,x1012)+~E(x1012,f20(x1013,x1014))+~E(f2(x1015,x1016),x1011) % 0.56/0.65 [112]~P2(x1121)+~P2(x1123)+~P2(x1122)+~P4(x1125,x1123)+~P4(x1124,x1122)+~P4(f13(x1122,x1123,x1121),x1121)+E(x1121,f20(x1122,x1123))+~E(f2(x1124,x1125),f13(x1122,x1123,x1121)) % 0.56/0.65 %EqnAxiom % 0.56/0.65 [1]E(x11,x11) % 0.56/0.65 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.65 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 0.56/0.65 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 0.56/0.65 [6]~E(x61,x62)+E(f20(x61,x63),f20(x62,x63)) % 0.56/0.65 [7]~E(x71,x72)+E(f20(x73,x71),f20(x73,x72)) % 0.56/0.65 [8]~E(x81,x82)+E(f15(x81,x83,x84,x85),f15(x82,x83,x84,x85)) % 0.56/0.65 [9]~E(x91,x92)+E(f15(x93,x91,x94,x95),f15(x93,x92,x94,x95)) % 0.56/0.65 [10]~E(x101,x102)+E(f15(x103,x104,x101,x105),f15(x103,x104,x102,x105)) % 0.56/0.65 [11]~E(x111,x112)+E(f15(x113,x114,x115,x111),f15(x113,x114,x115,x112)) % 0.56/0.65 [12]~E(x121,x122)+E(f19(x121,x123),f19(x122,x123)) % 0.56/0.65 [13]~E(x131,x132)+E(f19(x133,x131),f19(x133,x132)) % 0.56/0.65 [14]~E(x141,x142)+E(f17(x141,x143,x144),f17(x142,x143,x144)) % 0.56/0.65 [15]~E(x151,x152)+E(f17(x153,x151,x154),f17(x153,x152,x154)) % 0.56/0.65 [16]~E(x161,x162)+E(f17(x163,x164,x161),f17(x163,x164,x162)) % 0.56/0.65 [17]~E(x171,x172)+E(f21(x171),f21(x172)) % 0.56/0.65 [18]~E(x181,x182)+E(f9(x181,x183),f9(x182,x183)) % 0.56/0.65 [19]~E(x191,x192)+E(f9(x193,x191),f9(x193,x192)) % 0.56/0.65 [20]~E(x201,x202)+E(f18(x201,x203,x204),f18(x202,x203,x204)) % 0.56/0.65 [21]~E(x211,x212)+E(f18(x213,x211,x214),f18(x213,x212,x214)) % 0.56/0.65 [22]~E(x221,x222)+E(f18(x223,x224,x221),f18(x223,x224,x222)) % 0.56/0.65 [23]~E(x231,x232)+E(f14(x231,x233,x234,x235),f14(x232,x233,x234,x235)) % 0.56/0.65 [24]~E(x241,x242)+E(f14(x243,x241,x244,x245),f14(x243,x242,x244,x245)) % 0.56/0.65 [25]~E(x251,x252)+E(f14(x253,x254,x251,x255),f14(x253,x254,x252,x255)) % 0.56/0.65 [26]~E(x261,x262)+E(f14(x263,x264,x265,x261),f14(x263,x264,x265,x262)) % 0.56/0.65 [27]~E(x271,x272)+E(f12(x271,x273),f12(x272,x273)) % 0.56/0.65 [28]~E(x281,x282)+E(f12(x283,x281),f12(x283,x282)) % 0.56/0.65 [29]~E(x291,x292)+E(f11(x291,x293),f11(x292,x293)) % 0.56/0.65 [30]~E(x301,x302)+E(f11(x303,x301),f11(x303,x302)) % 0.56/0.65 [31]~E(x311,x312)+E(f4(x311),f4(x312)) % 0.56/0.65 [32]~E(x321,x322)+E(f5(x321),f5(x322)) % 0.56/0.65 [33]~E(x331,x332)+E(f13(x331,x333,x334),f13(x332,x333,x334)) % 0.56/0.65 [34]~E(x341,x342)+E(f13(x343,x341,x344),f13(x343,x342,x344)) % 0.56/0.65 [35]~E(x351,x352)+E(f13(x353,x354,x351),f13(x353,x354,x352)) % 0.56/0.65 [36]~E(x361,x362)+E(f16(x361,x363,x364),f16(x362,x363,x364)) % 0.56/0.65 [37]~E(x371,x372)+E(f16(x373,x371,x374),f16(x373,x372,x374)) % 0.56/0.65 [38]~E(x381,x382)+E(f16(x383,x384,x381),f16(x383,x384,x382)) % 0.56/0.65 [39]~E(x391,x392)+E(f10(x391),f10(x392)) % 0.56/0.65 [40]~P1(x401)+P1(x402)+~E(x401,x402) % 0.56/0.65 [41]P4(x412,x413)+~E(x411,x412)+~P4(x411,x413) % 0.56/0.65 [42]P4(x423,x422)+~E(x421,x422)+~P4(x423,x421) % 0.56/0.65 [43]~P2(x431)+P2(x432)+~E(x431,x432) % 0.56/0.65 [44]~P3(x441)+P3(x442)+~E(x441,x442) % 0.56/0.65 % 0.56/0.65 %------------------------------------------- % 0.56/0.65 cnf(127,plain, % 0.56/0.65 ($false), % 0.56/0.65 inference(scs_inference,[],[60,59,52,54,2,86]), % 0.56/0.65 ['proof']). % 0.56/0.65 % SZS output end Proof % 0.56/0.65 % Total time :0.010000s %------------------------------------------------------------------------------