%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : NUM531+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 : 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 12:24:52 EDT 2024 % Result : Theorem 0.55s 0.61s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM531+1 : TPTP v8.2.0. Released v4.0.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n026.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Jun 23 01:45:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.58 start to proof:theBenchmark % 0.55/0.60 %------------------------------------------- % 0.55/0.60 % File :CSE---1.7 % 0.55/0.60 % Problem :theBenchmark % 0.55/0.60 % Transform :cnf % 0.55/0.60 % Format :tptp:raw % 0.55/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.60 % 0.55/0.60 % Result :Theorem 0.000000s % 0.55/0.60 % Output :CNFRefutation 0.000000s % 0.55/0.60 %------------------------------------------- % 0.55/0.61 %------------------------------------------------------------------------------ % 0.55/0.61 % File : NUM531+1 : TPTP v8.2.0. Released v4.0.0. % 0.55/0.61 % Domain : Number Theory % 0.55/0.61 % Problem : Ramsey's Infinite Theorem 01, 00 expansion % 0.55/0.61 % Version : Especial. % 0.55/0.61 % English : % 0.55/0.61 % 0.55/0.61 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 0.55/0.61 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 0.55/0.61 % Source : [Pas08] % 0.55/0.61 % Names : ramsey_01.00 [Pas08] % 0.55/0.61 % 0.55/0.61 % Status : Theorem % 0.55/0.61 % Rating : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.04 v6.3.0, 0.00 v6.2.0, 0.04 v6.1.0, 0.07 v6.0.0, 0.00 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.05 v5.1.0, 0.14 v5.0.0, 0.21 v4.1.0, 0.26 v4.0.1, 0.61 v4.0.0 % 0.55/0.61 % Syntax : Number of formulae : 9 ( 1 unt; 1 def) % 0.55/0.61 % Number of atoms : 23 ( 2 equ) % 0.55/0.61 % Maximal formula atoms : 3 ( 2 avg) % 0.55/0.61 % Number of connectives : 17 ( 3 ~; 0 |; 3 &) % 0.55/0.61 % ( 1 <=>; 10 =>; 0 <=; 0 <~>) % 0.55/0.61 % Maximal formula depth : 6 ( 4 avg) % 0.55/0.61 % Maximal term depth : 1 ( 1 avg) % 0.55/0.61 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty) % 0.55/0.61 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.55/0.61 % Number of variables : 10 ( 9 !; 1 ?) % 0.55/0.61 % SPC : FOF_THM_RFO_SEQ % 0.55/0.61 % 0.55/0.61 % Comments : Problem generated by the SAD system [VLP07] % 0.55/0.61 %------------------------------------------------------------------------------ % 0.55/0.61 fof(mSetSort,axiom, % 0.55/0.61 ! [W0] : % 0.55/0.61 ( aSet0(W0) % 0.55/0.61 => $true ) ). % 0.55/0.61 % 0.55/0.61 fof(mElmSort,axiom, % 0.55/0.61 ! [W0] : % 0.55/0.61 ( aElement0(W0) % 0.55/0.61 => $true ) ). % 0.55/0.61 % 0.55/0.61 fof(mEOfElem,axiom, % 0.55/0.61 ! [W0] : % 0.55/0.61 ( aSet0(W0) % 0.55/0.61 => ! [W1] : % 0.55/0.61 ( aElementOf0(W1,W0) % 0.55/0.61 => aElement0(W1) ) ) ). % 0.55/0.61 % 0.55/0.61 fof(mFinRel,axiom, % 0.55/0.61 ! [W0] : % 0.55/0.61 ( aSet0(W0) % 0.55/0.61 => ( isFinite0(W0) % 0.55/0.61 => $true ) ) ). % 0.55/0.61 % 0.55/0.61 fof(mDefEmp,definition, % 0.55/0.61 ! [W0] : % 0.55/0.61 ( W0 = slcrc0 % 0.55/0.61 <=> ( aSet0(W0) % 0.55/0.61 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ). % 0.55/0.61 % 0.55/0.61 fof(mEmpFin,axiom, % 0.55/0.61 isFinite0(slcrc0) ). % 0.55/0.61 % 0.55/0.61 fof(mCntRel,axiom, % 0.55/0.61 ! [W0] : % 0.55/0.61 ( aSet0(W0) % 0.55/0.61 => ( isCountable0(W0) % 0.55/0.61 => $true ) ) ). % 0.55/0.61 % 0.55/0.61 fof(mCountNFin,axiom, % 0.55/0.61 ! [W0] : % 0.55/0.61 ( ( aSet0(W0) % 0.55/0.61 & isCountable0(W0) ) % 0.55/0.61 => ~ isFinite0(W0) ) ). % 0.55/0.61 % 0.55/0.61 fof(m__,conjecture, % 0.55/0.61 ! [W0] : % 0.55/0.61 ( ( aSet0(W0) % 0.55/0.61 & isCountable0(W0) ) % 0.55/0.61 => W0 != slcrc0 ) ). % 0.55/0.61 % 0.55/0.61 %------------------------------------------------------------------------------ % 0.55/0.61 %------------------------------------------- % 0.55/0.61 % Proof found % 0.55/0.61 % SZS status Theorem for theBenchmark % 0.55/0.61 % SZS output start Proof % 0.55/0.61 %ClaNum:19(EqnAxiom:10) % 0.55/0.61 %VarNum:16(SingletonVarNum:7) % 0.55/0.61 %MaxLitNum:3 % 0.55/0.61 %MaxfuncDepth:1 % 0.55/0.61 %SharedTerms:6 % 0.55/0.61 %goalClause: 11 12 14 % 0.55/0.61 %singleGoalClaCount:3 % 0.55/0.61 [11]E(a1,a3) % 0.55/0.61 [12]P1(a1) % 0.55/0.61 [13]P4(a3) % 0.55/0.61 [14]P5(a1) % 0.55/0.61 [15]P1(x151)+~E(x151,a3) % 0.55/0.61 [17]~P2(x172,x171)+~E(x171,a3) % 0.55/0.61 [16]~P4(x161)+~P5(x161)+~P1(x161) % 0.55/0.61 [18]~P1(x181)+P2(f2(x181),x181)+E(x181,a3) % 0.55/0.61 [19]~P2(x191,x192)+P3(x191)+~P1(x192) % 0.55/0.61 %EqnAxiom % 0.55/0.61 [1]E(x11,x11) % 0.55/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.55/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.55/0.61 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.55/0.61 [5]~P1(x51)+P1(x52)+~E(x51,x52) % 0.55/0.61 [6]~P4(x61)+P4(x62)+~E(x61,x62) % 0.55/0.61 [7]~P5(x71)+P5(x72)+~E(x71,x72) % 0.55/0.61 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.55/0.61 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.55/0.61 [10]~P3(x101)+P3(x102)+~E(x101,x102) % 0.55/0.61 % 0.55/0.61 %------------------------------------------- % 0.55/0.61 cnf(26,plain, % 0.55/0.62 ($false), % 0.55/0.62 inference(scs_inference,[],[11,12,14,13,17,2,6,16]), % 0.55/0.62 ['proof']). % 0.55/0.62 % SZS output end Proof % 0.55/0.62 % Total time :0.000000s %------------------------------------------------------------------------------