%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : NUM531+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 : n001.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 0.57s 0.66s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : NUM531+2 : TPTP v8.2.0. Released v4.0.0. % 0.04/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.14/0.36 % Computer : n001.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Sun Jun 23 01:16:09 EDT 2024 % 0.14/0.36 % CPUTime : % 0.48/0.60 start to proof:theBenchmark % 0.57/0.65 %------------------------------------------- % 0.57/0.65 % File :CSE---1.7 % 0.57/0.65 % Problem :theBenchmark % 0.57/0.65 % Transform :cnf % 0.57/0.65 % Format :tptp:raw % 0.57/0.65 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.65 % 0.57/0.65 % Result :Theorem 0.000000s % 0.57/0.65 % Output :CNFRefutation 0.000000s % 0.57/0.65 %------------------------------------------- % 0.57/0.66 %------------------------------------------------------------------------------ % 0.57/0.66 % File : NUM531+2 : TPTP v8.2.0. Released v4.0.0. % 0.57/0.66 % Domain : Number Theory % 0.57/0.66 % Problem : Ramsey's Infinite Theorem 01, 01 expansion % 0.57/0.66 % Version : Especial. % 0.57/0.66 % English : % 0.57/0.66 % 0.57/0.66 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 0.57/0.66 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 0.57/0.66 % Source : [Pas08] % 0.57/0.66 % Names : ramsey_01.01 [Pas08] % 0.57/0.66 % 0.57/0.66 % Status : Theorem % 0.57/0.66 % 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, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.1, 0.61 v4.0.0 % 0.57/0.66 % Syntax : Number of formulae : 9 ( 1 unt; 1 def) % 0.57/0.66 % Number of atoms : 24 ( 2 equ) % 0.57/0.66 % Maximal formula atoms : 4 ( 2 avg) % 0.57/0.66 % Number of connectives : 19 ( 4 ~; 0 |; 4 &) % 0.57/0.66 % ( 1 <=>; 10 =>; 0 <=; 0 <~>) % 0.57/0.66 % Maximal formula depth : 7 ( 4 avg) % 0.57/0.66 % Maximal term depth : 1 ( 1 avg) % 0.57/0.66 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty) % 0.57/0.66 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.57/0.66 % Number of variables : 11 ( 9 !; 2 ?) % 0.57/0.66 % SPC : FOF_THM_RFO_SEQ % 0.57/0.66 % 0.57/0.66 % Comments : Problem generated by the SAD system [VLP07] % 0.57/0.66 %------------------------------------------------------------------------------ % 0.57/0.66 fof(mSetSort,axiom, % 0.57/0.66 ! [W0] : % 0.57/0.66 ( aSet0(W0) % 0.57/0.66 => $true ) ). % 0.57/0.66 % 0.57/0.66 fof(mElmSort,axiom, % 0.57/0.66 ! [W0] : % 0.57/0.66 ( aElement0(W0) % 0.57/0.66 => $true ) ). % 0.57/0.66 % 0.57/0.66 fof(mEOfElem,axiom, % 0.57/0.66 ! [W0] : % 0.57/0.66 ( aSet0(W0) % 0.57/0.66 => ! [W1] : % 0.57/0.66 ( aElementOf0(W1,W0) % 0.57/0.66 => aElement0(W1) ) ) ). % 0.57/0.66 % 0.57/0.66 fof(mFinRel,axiom, % 0.57/0.66 ! [W0] : % 0.57/0.66 ( aSet0(W0) % 0.57/0.66 => ( isFinite0(W0) % 0.57/0.66 => $true ) ) ). % 0.57/0.66 % 0.57/0.66 fof(mDefEmp,definition, % 0.57/0.66 ! [W0] : % 0.57/0.66 ( W0 = slcrc0 % 0.57/0.66 <=> ( aSet0(W0) % 0.57/0.66 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ). % 0.57/0.66 % 0.57/0.66 fof(mEmpFin,axiom, % 0.57/0.66 isFinite0(slcrc0) ). % 0.57/0.66 % 0.57/0.66 fof(mCntRel,axiom, % 0.57/0.66 ! [W0] : % 0.57/0.66 ( aSet0(W0) % 0.57/0.66 => ( isCountable0(W0) % 0.57/0.66 => $true ) ) ). % 0.57/0.66 % 0.57/0.66 fof(mCountNFin,axiom, % 0.57/0.66 ! [W0] : % 0.57/0.66 ( ( aSet0(W0) % 0.57/0.66 & isCountable0(W0) ) % 0.57/0.66 => ~ isFinite0(W0) ) ). % 0.57/0.66 % 0.57/0.66 fof(m__,conjecture, % 0.57/0.66 ! [W0] : % 0.57/0.66 ( ( aSet0(W0) % 0.57/0.66 & isCountable0(W0) ) % 0.57/0.66 => ~ ( ~ ? [W1] : aElementOf0(W1,W0) % 0.57/0.66 & W0 = slcrc0 ) ) ). % 0.57/0.66 % 0.57/0.66 %------------------------------------------------------------------------------ % 0.57/0.66 %------------------------------------------- % 0.57/0.66 % Proof found % 0.57/0.66 % SZS status Theorem for theBenchmark % 0.57/0.66 % SZS output start Proof % 0.57/0.66 %ClaNum:20(EqnAxiom:10) % 0.57/0.66 %VarNum:17(SingletonVarNum:8) % 0.57/0.66 %MaxLitNum:3 % 0.57/0.66 %MaxfuncDepth:1 % 0.57/0.66 %SharedTerms:6 % 0.57/0.66 %goalClause: 11 12 14 15 % 0.57/0.66 %singleGoalClaCount:4 % 0.57/0.66 [11]E(a1,a3) % 0.57/0.66 [12]P1(a1) % 0.57/0.66 [13]P4(a3) % 0.57/0.66 [14]P5(a1) % 0.57/0.66 [15]~P2(x151,a1) % 0.57/0.66 [16]P1(x161)+~E(x161,a3) % 0.57/0.66 [18]~P2(x182,x181)+~E(x181,a3) % 0.57/0.66 [17]~P4(x171)+~P5(x171)+~P1(x171) % 0.57/0.66 [19]~P1(x191)+P2(f2(x191),x191)+E(x191,a3) % 0.57/0.66 [20]~P2(x201,x202)+P3(x201)+~P1(x202) % 0.57/0.66 %EqnAxiom % 0.57/0.66 [1]E(x11,x11) % 0.57/0.66 [2]E(x22,x21)+~E(x21,x22) % 0.57/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.57/0.66 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.57/0.66 [5]~P1(x51)+P1(x52)+~E(x51,x52) % 0.57/0.66 [6]~P4(x61)+P4(x62)+~E(x61,x62) % 0.57/0.66 [7]~P5(x71)+P5(x72)+~E(x71,x72) % 0.57/0.66 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83) % 0.57/0.66 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91) % 0.57/0.66 [10]~P3(x101)+P3(x102)+~E(x101,x102) % 0.57/0.66 % 0.57/0.66 %------------------------------------------- % 0.57/0.67 cnf(25,plain, % 0.57/0.67 ($false), % 0.57/0.67 inference(scs_inference,[],[11,12,14,13,2,6,17]), % 0.57/0.67 ['proof']). % 0.57/0.67 % SZS output end Proof % 0.57/0.67 % Total time :0.000000s %------------------------------------------------------------------------------