%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LAT381+1 : TPTP v8.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n019.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 10:19:17 EDT 2024 % Result : Theorem 3.58s 3.68s % Output : CNFRefutation 3.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : LAT381+1 : TPTP v8.2.0. Released v4.0.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n019.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 : Fri Jun 21 22:44:54 EDT 2024 % 0.13/0.34 % CPUTime : % 0.50/0.58 start to proof:theBenchmark % 3.58/3.67 %------------------------------------------- % 3.58/3.67 % File :CSE---1.7 % 3.58/3.67 % Problem :theBenchmark % 3.58/3.67 % Transform :cnf % 3.58/3.67 % Format :tptp:raw % 3.58/3.67 % Command :java -jar mcs_scs.jar %d %s % 3.58/3.67 % 3.58/3.67 % Result :Theorem 3.040000s % 3.58/3.67 % Output :CNFRefutation 3.040000s % 3.58/3.67 %------------------------------------------- % 3.58/3.67 %------------------------------------------------------------------------------ % 3.58/3.67 % File : LAT381+1 : TPTP v8.2.0. Released v4.0.0. % 3.58/3.67 % Domain : Lattice Theory % 3.58/3.67 % Problem : Tarski-Knaster fixed point theorem 01, 00 expansion % 3.58/3.67 % Version : Especial. % 3.58/3.67 % English : % 3.58/3.67 % 3.58/3.67 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 3.58/3.67 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 3.58/3.67 % : [VL+08] Verchinine et al. (2008), On Correctness of Mathematic % 3.58/3.67 % Source : [Pas08] % 3.58/3.67 % Names : tarski_01.00 [Pas08] % 3.58/3.67 % 3.58/3.67 % Status : Theorem % 3.58/3.67 % Rating : 0.11 v8.2.0, 0.14 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.10 v7.3.0, 0.07 v7.1.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.04 v6.3.0, 0.00 v6.2.0, 0.08 v6.1.0, 0.17 v6.0.0, 0.09 v5.5.0, 0.15 v5.4.0, 0.14 v5.3.0, 0.19 v5.2.0, 0.05 v5.1.0, 0.19 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.1, 0.61 v4.0.0 % 3.58/3.67 % Syntax : Number of formulae : 17 ( 3 unt; 6 def) % 3.58/3.67 % Number of atoms : 63 ( 2 equ) % 3.58/3.67 % Maximal formula atoms : 7 ( 3 avg) % 3.58/3.67 % Number of connectives : 47 ( 1 ~; 0 |; 14 &) % 3.58/3.67 % ( 6 <=>; 26 =>; 0 <=; 0 <~>) % 3.58/3.67 % Maximal formula depth : 11 ( 5 avg) % 3.58/3.67 % Maximal term depth : 1 ( 1 avg) % 3.58/3.67 % Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty) % 3.58/3.67 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty) % 3.58/3.67 % Number of variables : 33 ( 32 !; 1 ?) % 3.58/3.67 % SPC : FOF_THM_RFO_SEQ % 3.58/3.67 % 3.58/3.67 % Comments : Problem generated by the SAD system [VLP07] % 3.58/3.67 %------------------------------------------------------------------------------ % 3.58/3.67 fof(mSetSort,axiom, % 3.58/3.67 ! [W0] : % 3.58/3.67 ( aSet0(W0) % 3.58/3.67 => $true ) ). % 3.58/3.67 % 3.58/3.67 fof(mElmSort,axiom, % 3.58/3.67 ! [W0] : % 3.58/3.67 ( aElement0(W0) % 3.58/3.67 => $true ) ). % 3.58/3.67 % 3.58/3.67 fof(mEOfElem,axiom, % 3.58/3.67 ! [W0] : % 3.58/3.67 ( aSet0(W0) % 3.58/3.67 => ! [W1] : % 3.58/3.67 ( aElementOf0(W1,W0) % 3.58/3.67 => aElement0(W1) ) ) ). % 3.58/3.67 % 3.58/3.67 fof(mDefEmpty,definition, % 3.58/3.67 ! [W0] : % 3.58/3.67 ( aSet0(W0) % 3.58/3.67 => ( isEmpty0(W0) % 3.58/3.67 <=> ~ ? [W1] : aElementOf0(W1,W0) ) ) ). % 3.58/3.67 % 3.58/3.67 fof(mDefSub,definition, % 3.58/3.67 ! [W0] : % 3.58/3.67 ( aSet0(W0) % 3.58/3.67 => ! [W1] : % 3.58/3.67 ( aSubsetOf0(W1,W0) % 3.58/3.67 <=> ( aSet0(W1) % 3.58/3.67 & ! [W2] : % 3.58/3.67 ( aElementOf0(W2,W1) % 3.58/3.67 => aElementOf0(W2,W0) ) ) ) ) ). % 3.58/3.67 % 3.58/3.67 fof(mLessRel,axiom, % 3.58/3.67 ! [W0,W1] : % 3.58/3.67 ( ( aElement0(W0) % 3.58/3.67 & aElement0(W1) ) % 3.58/3.67 => ( sdtlseqdt0(W0,W1) % 3.58/3.67 => $true ) ) ). % 3.58/3.67 % 3.58/3.67 fof(mARefl,axiom, % 3.58/3.67 ! [W0] : % 3.58/3.67 ( aElement0(W0) % 3.58/3.67 => sdtlseqdt0(W0,W0) ) ). % 3.58/3.67 % 3.58/3.67 fof(mASymm,axiom, % 3.58/3.67 ! [W0,W1] : % 3.58/3.67 ( ( aElement0(W0) % 3.58/3.67 & aElement0(W1) ) % 3.58/3.67 => ( ( sdtlseqdt0(W0,W1) % 3.58/3.67 & sdtlseqdt0(W1,W0) ) % 3.58/3.67 => W0 = W1 ) ) ). % 3.58/3.67 % 3.58/3.67 fof(mTrans,axiom, % 3.58/3.67 ! [W0,W1,W2] : % 3.58/3.67 ( ( aElement0(W0) % 3.58/3.67 & aElement0(W1) % 3.58/3.67 & aElement0(W2) ) % 3.58/3.67 => ( ( sdtlseqdt0(W0,W1) % 3.58/3.67 & sdtlseqdt0(W1,W2) ) % 3.58/3.68 => sdtlseqdt0(W0,W2) ) ) ). % 3.58/3.68 % 3.58/3.68 fof(mDefLB,definition, % 3.58/3.68 ! [W0] : % 3.58/3.68 ( aSet0(W0) % 3.58/3.68 => ! [W1] : % 3.58/3.68 ( aSubsetOf0(W1,W0) % 3.58/3.68 => ! [W2] : % 3.58/3.68 ( aLowerBoundOfIn0(W2,W1,W0) % 3.58/3.68 <=> ( aElementOf0(W2,W0) % 3.58/3.68 & ! [W3] : % 3.58/3.68 ( aElementOf0(W3,W1) % 3.58/3.68 => sdtlseqdt0(W2,W3) ) ) ) ) ) ). % 3.58/3.68 % 3.58/3.68 fof(mDefUB,definition, % 3.58/3.68 ! [W0] : % 3.58/3.68 ( aSet0(W0) % 3.58/3.68 => ! [W1] : % 3.58/3.68 ( aSubsetOf0(W1,W0) % 3.58/3.68 => ! [W2] : % 3.58/3.68 ( aUpperBoundOfIn0(W2,W1,W0) % 3.58/3.68 <=> ( aElementOf0(W2,W0) % 3.58/3.68 & ! [W3] : % 3.58/3.68 ( aElementOf0(W3,W1) % 3.58/3.68 => sdtlseqdt0(W3,W2) ) ) ) ) ) ). % 3.58/3.68 % 3.58/3.68 fof(mDefInf,definition, % 3.58/3.68 ! [W0] : % 3.58/3.68 ( aSet0(W0) % 3.58/3.68 => ! [W1] : % 3.58/3.68 ( aSubsetOf0(W1,W0) % 3.58/3.68 => ! [W2] : % 3.58/3.68 ( aInfimumOfIn0(W2,W1,W0) % 3.58/3.68 <=> ( aElementOf0(W2,W0) % 3.58/3.68 & aLowerBoundOfIn0(W2,W1,W0) % 3.58/3.68 & ! [W3] : % 3.58/3.68 ( aLowerBoundOfIn0(W3,W1,W0) % 3.58/3.68 => sdtlseqdt0(W3,W2) ) ) ) ) ) ). % 3.58/3.68 % 3.58/3.68 fof(mDefSup,definition, % 3.58/3.68 ! [W0] : % 3.58/3.68 ( aSet0(W0) % 3.58/3.68 => ! [W1] : % 3.58/3.68 ( aSubsetOf0(W1,W0) % 3.58/3.68 => ! [W2] : % 3.58/3.68 ( aSupremumOfIn0(W2,W1,W0) % 3.58/3.68 <=> ( aElementOf0(W2,W0) % 3.58/3.68 & aUpperBoundOfIn0(W2,W1,W0) % 3.58/3.68 & ! [W3] : % 3.58/3.68 ( aUpperBoundOfIn0(W3,W1,W0) % 3.58/3.68 => sdtlseqdt0(W2,W3) ) ) ) ) ) ). % 3.58/3.68 % 3.58/3.68 fof(m__725,hypothesis, % 3.58/3.68 aSet0(xT) ). % 3.58/3.68 % 3.58/3.68 fof(m__725_01,hypothesis, % 3.58/3.68 aSubsetOf0(xS,xT) ). % 3.58/3.68 % 3.58/3.68 fof(m__744,hypothesis, % 3.58/3.68 ( aSupremumOfIn0(xu,xS,xT) % 3.58/3.68 & aSupremumOfIn0(xv,xS,xT) ) ). % 3.58/3.68 % 3.58/3.68 fof(m__,conjecture, % 3.58/3.68 xu = xv ). % 3.58/3.68 % 3.58/3.68 %------------------------------------------------------------------------------ % 3.58/3.68 %------------------------------------------- % 3.58/3.68 % Proof found % 3.58/3.68 % SZS status Theorem for theBenchmark % 3.58/3.68 % SZS output start Proof % 3.58/3.68 %ClaNum:72(EqnAxiom:39) % 3.58/3.68 %VarNum:259(SingletonVarNum:78) % 3.58/3.68 %MaxLitNum:6 % 3.58/3.68 %MaxfuncDepth:1 % 3.58/3.68 %SharedTerms:9 % 3.58/3.68 %goalClause: 44 % 3.58/3.68 %singleGoalClaCount:1 % 3.58/3.68 [40]P1(a1) % 3.58/3.68 [41]P6(a2,a1) % 3.58/3.68 [42]P7(a9,a2,a1) % 3.58/3.68 [43]P7(a10,a2,a1) % 3.58/3.68 [44]~E(a10,a9) % 3.58/3.68 [45]~P2(x451)+P8(x451,x451) % 3.58/3.68 [46]~P1(x461)+P9(x461)+P3(f3(x461),x461) % 3.58/3.68 [47]~P6(x471,x472)+P1(x471)+~P1(x472) % 3.58/3.68 [48]~P3(x481,x482)+P2(x481)+~P1(x482) % 3.58/3.68 [49]~P9(x491)+~P1(x491)+~P3(x492,x491) % 3.58/3.68 [52]~P1(x521)+~P1(x522)+P6(x521,x522)+P3(f4(x522,x521),x521) % 3.58/3.68 [54]~P1(x541)+~P1(x542)+P6(x541,x542)+~P3(f4(x542,x541),x542) % 3.58/3.68 [51]~P1(x512)+~P6(x513,x512)+P3(x511,x512)+~P3(x511,x513) % 3.58/3.68 [55]~P1(x552)+~P4(x551,x553,x552)+P3(x551,x552)+~P6(x553,x552) % 3.58/3.68 [56]~P1(x562)+~P10(x561,x563,x562)+P3(x561,x562)+~P6(x563,x562) % 3.58/3.68 [57]~P1(x572)+~P5(x571,x573,x572)+P3(x571,x572)+~P6(x573,x572) % 3.58/3.68 [58]~P1(x582)+~P7(x581,x583,x582)+P3(x581,x582)+~P6(x583,x582) % 3.58/3.68 [61]~P1(x613)+~P6(x612,x613)+~P5(x611,x612,x613)+P4(x611,x612,x613) % 3.58/3.68 [62]~P1(x623)+~P6(x622,x623)+~P7(x621,x622,x623)+P10(x621,x622,x623) % 3.58/3.68 [50]~P2(x502)+~P2(x501)+~P8(x502,x501)+~P8(x501,x502)+E(x501,x502) % 3.58/3.68 [65]~P1(x653)+~P3(x651,x653)+~P6(x652,x653)+P4(x651,x652,x653)+P3(f5(x653,x652,x651),x652) % 3.58/3.68 [66]~P1(x663)+~P3(x661,x663)+~P6(x662,x663)+P10(x661,x662,x663)+P3(f6(x663,x662,x661),x662) % 3.58/3.68 [67]~P1(x673)+~P3(x671,x673)+~P6(x672,x673)+P4(x671,x672,x673)+~P8(x671,f5(x673,x672,x671)) % 3.58/3.68 [68]~P1(x683)+~P3(x681,x683)+~P6(x682,x683)+P10(x681,x682,x683)+~P8(f6(x683,x682,x681),x681) % 3.58/3.68 [59]~P6(x594,x593)+~P4(x591,x594,x593)+P8(x591,x592)+~P3(x592,x594)+~P1(x593) % 3.58/3.68 [60]~P6(x604,x603)+~P10(x602,x604,x603)+P8(x601,x602)+~P3(x601,x604)+~P1(x603) % 3.58/3.68 [63]~P10(x632,x634,x633)+~P7(x631,x634,x633)+P8(x631,x632)+~P6(x634,x633)+~P1(x633) % 3.58/3.68 [64]~P4(x641,x644,x643)+~P5(x642,x644,x643)+P8(x641,x642)+~P6(x644,x643)+~P1(x643) % 3.58/3.68 [53]~P2(x532)+~P2(x531)+~P8(x533,x532)+~P8(x531,x533)+P8(x531,x532)+~P2(x533) % 3.58/3.68 [69]~P1(x693)+~P3(x691,x693)+~P6(x692,x693)+~P4(x691,x692,x693)+P5(x691,x692,x693)+P4(f7(x693,x692,x691),x692,x693) % 3.58/3.68 [70]~P1(x703)+~P3(x701,x703)+~P6(x702,x703)+~P10(x701,x702,x703)+P7(x701,x702,x703)+P10(f8(x703,x702,x701),x702,x703) % 3.58/3.68 [71]~P1(x713)+~P3(x711,x713)+~P6(x712,x713)+~P10(x711,x712,x713)+P7(x711,x712,x713)+~P8(x711,f8(x713,x712,x711)) % 3.58/3.68 [72]~P1(x723)+~P3(x721,x723)+~P6(x722,x723)+~P4(x721,x722,x723)+P5(x721,x722,x723)+~P8(f7(x723,x722,x721),x721) % 3.58/3.68 %EqnAxiom % 3.58/3.68 [1]E(x11,x11) % 3.58/3.68 [2]E(x22,x21)+~E(x21,x22) % 3.58/3.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 3.58/3.68 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 3.58/3.68 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53)) % 3.58/3.68 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62)) % 3.58/3.68 [7]~E(x71,x72)+E(f7(x71,x73,x74),f7(x72,x73,x74)) % 3.58/3.68 [8]~E(x81,x82)+E(f7(x83,x81,x84),f7(x83,x82,x84)) % 3.58/3.68 [9]~E(x91,x92)+E(f7(x93,x94,x91),f7(x93,x94,x92)) % 3.58/3.68 [10]~E(x101,x102)+E(f5(x101,x103,x104),f5(x102,x103,x104)) % 3.58/3.68 [11]~E(x111,x112)+E(f5(x113,x111,x114),f5(x113,x112,x114)) % 3.58/3.68 [12]~E(x121,x122)+E(f5(x123,x124,x121),f5(x123,x124,x122)) % 3.58/3.68 [13]~E(x131,x132)+E(f6(x131,x133,x134),f6(x132,x133,x134)) % 3.58/3.68 [14]~E(x141,x142)+E(f6(x143,x141,x144),f6(x143,x142,x144)) % 3.58/3.68 [15]~E(x151,x152)+E(f6(x153,x154,x151),f6(x153,x154,x152)) % 3.58/3.68 [16]~E(x161,x162)+E(f8(x161,x163,x164),f8(x162,x163,x164)) % 3.58/3.68 [17]~E(x171,x172)+E(f8(x173,x171,x174),f8(x173,x172,x174)) % 3.58/3.68 [18]~E(x181,x182)+E(f8(x183,x184,x181),f8(x183,x184,x182)) % 3.58/3.68 [19]~P1(x191)+P1(x192)+~E(x191,x192) % 3.58/3.68 [20]P6(x202,x203)+~E(x201,x202)+~P6(x201,x203) % 3.58/3.68 [21]P6(x213,x212)+~E(x211,x212)+~P6(x213,x211) % 3.58/3.68 [22]P7(x222,x223,x224)+~E(x221,x222)+~P7(x221,x223,x224) % 3.58/3.68 [23]P7(x233,x232,x234)+~E(x231,x232)+~P7(x233,x231,x234) % 3.58/3.68 [24]P7(x243,x244,x242)+~E(x241,x242)+~P7(x243,x244,x241) % 3.58/3.68 [25]P10(x252,x253,x254)+~E(x251,x252)+~P10(x251,x253,x254) % 3.58/3.68 [26]P10(x263,x262,x264)+~E(x261,x262)+~P10(x263,x261,x264) % 3.58/3.68 [27]P10(x273,x274,x272)+~E(x271,x272)+~P10(x273,x274,x271) % 3.58/3.68 [28]P8(x282,x283)+~E(x281,x282)+~P8(x281,x283) % 3.58/3.68 [29]P8(x293,x292)+~E(x291,x292)+~P8(x293,x291) % 3.58/3.68 [30]~P2(x301)+P2(x302)+~E(x301,x302) % 3.58/3.68 [31]~P9(x311)+P9(x312)+~E(x311,x312) % 3.58/3.68 [32]P3(x322,x323)+~E(x321,x322)+~P3(x321,x323) % 3.58/3.68 [33]P3(x333,x332)+~E(x331,x332)+~P3(x333,x331) % 3.58/3.68 [34]P4(x342,x343,x344)+~E(x341,x342)+~P4(x341,x343,x344) % 3.58/3.68 [35]P4(x353,x352,x354)+~E(x351,x352)+~P4(x353,x351,x354) % 3.58/3.68 [36]P4(x363,x364,x362)+~E(x361,x362)+~P4(x363,x364,x361) % 3.58/3.68 [37]P5(x372,x373,x374)+~E(x371,x372)+~P5(x371,x373,x374) % 3.58/3.68 [38]P5(x383,x382,x384)+~E(x381,x382)+~P5(x383,x381,x384) % 3.58/3.68 [39]P5(x393,x394,x392)+~E(x391,x392)+~P5(x393,x394,x391) % 3.58/3.68 % 3.58/3.68 %------------------------------------------- % 3.69/3.68 cnf(110,plain, % 3.69/3.68 (~E(x1101,a1)+P1(x1101)), % 3.69/3.68 inference(scs_inference,[],[40,19,2])). % 3.69/3.68 cnf(116,plain, % 3.69/3.68 (~E(a2,x1161)+P1(x1161)), % 3.69/3.68 inference(scs_inference,[],[40,41,47,19])). % 3.69/3.68 cnf(117,plain, % 3.69/3.68 (P1(a2)), % 3.69/3.68 inference(equality_inference,[],[116])). % 3.69/3.68 cnf(131,plain, % 3.69/3.68 (P8(a10,x1311)+~P10(x1312,a2,a1)+~E(x1312,x1311)), % 3.69/3.68 inference(scs_inference,[],[41,40,43,29,63])). % 3.69/3.68 cnf(132,plain, % 3.69/3.68 (P8(a10,x1321)+~P10(x1321,a2,a1)), % 3.69/3.68 inference(equality_inference,[],[131])). % 3.69/3.68 cnf(142,plain, % 3.69/3.68 (P3(a9,x1421)+~E(a1,x1421)), % 3.69/3.68 inference(scs_inference,[],[41,40,42,33,58])). % 3.69/3.68 cnf(143,plain, % 3.69/3.68 (P3(a9,a1)), % 3.69/3.68 inference(equality_inference,[],[142])). % 3.69/3.68 cnf(836,plain, % 3.69/3.68 (P8(a9,a9)), % 3.69/3.68 inference(scs_inference,[],[143,40,45,48])). % 3.69/3.68 cnf(1038,plain, % 3.69/3.68 (P1(x10381)+~E(x10382,a1)+~E(x10381,x10382)), % 3.69/3.68 inference(scs_inference,[],[110,3])). % 3.69/3.68 cnf(1054,plain, % 3.69/3.68 (~E(x10541,x10542)+P1(x10542)+~E(x10541,a1)), % 3.69/3.68 inference(scs_inference,[],[1038,2])). % 3.69/3.68 cnf(1070,plain, % 3.69/3.68 (P2(a9)+~E(x10701,a1)), % 3.69/3.68 inference(scs_inference,[],[143,1054,48])). % 3.69/3.68 cnf(1071,plain, % 3.69/3.68 (P2(a9)), % 3.69/3.68 inference(equality_inference,[],[1070])). % 3.69/3.68 cnf(1150,plain, % 3.69/3.68 (P10(a9,a2,a1)), % 3.69/3.68 inference(scs_inference,[],[41,42,110,62])). % 3.69/3.68 cnf(1151,plain, % 3.69/3.68 (P8(a10,a9)), % 3.69/3.68 inference(scs_inference,[],[1150,132])). % 3.69/3.68 cnf(1167,plain, % 3.69/3.68 (E(a9,a10)+~P2(a10)+~P8(a9,a10)), % 3.69/3.68 inference(scs_inference,[],[143,836,117,1151,1071,50,53])). % 3.69/3.68 cnf(1228,plain, % 3.69/3.68 (P3(a10,a1)), % 3.69/3.68 inference(scs_inference,[],[41,43,110,58])). % 3.69/3.68 cnf(1529,plain, % 3.69/3.68 (P2(a10)), % 3.69/3.68 inference(scs_inference,[],[1228,110,48])). % 3.69/3.68 cnf(1530,plain, % 3.69/3.68 (E(a9,a10)+~P8(a9,a10)), % 3.69/3.68 inference(scs_inference,[],[1529,1167])). % 3.69/3.68 cnf(1545,plain, % 3.69/3.68 (~P8(a9,a10)), % 3.69/3.68 inference(scs_inference,[],[44,1530,2])). % 3.69/3.68 cnf(1644,plain, % 3.69/3.68 ($false), % 3.69/3.68 inference(scs_inference,[],[1545,41,42,43,40,63,62]), % 3.69/3.68 ['proof']). % 3.69/3.68 % SZS output end Proof % 3.69/3.68 % Total time :3.040000s %------------------------------------------------------------------------------