%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN074+1 : TPTP v8.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n021.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 19:04:28 EDT 2024 % Result : Theorem 1.42s 1.51s % Output : CNFRefutation 1.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN074+1 : TPTP v8.2.0. Released v2.0.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n021.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Sun Jun 23 20:26:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.49/0.54 start to proof:theBenchmark % 1.42/1.51 %------------------------------------------- % 1.42/1.51 % File :CSE---1.7 % 1.42/1.51 % Problem :theBenchmark % 1.42/1.51 % Transform :cnf % 1.42/1.51 % Format :tptp:raw % 1.42/1.51 % Command :java -jar mcs_scs.jar %d %s % 1.42/1.51 % 1.42/1.51 % Result :Theorem 0.940000s % 1.42/1.51 % Output :CNFRefutation 0.940000s % 1.42/1.51 %------------------------------------------- % 1.42/1.51 %-------------------------------------------------------------------------- % 1.42/1.51 % File : SYN074+1 : TPTP v8.2.0. Released v2.0.0. % 1.42/1.51 % Domain : Syntactic % 1.42/1.51 % Problem : Pelletier Problem 51 % 1.42/1.51 % Version : Especial. % 1.42/1.51 % English : % 1.42/1.51 % 1.42/1.51 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 1.42/1.51 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 1.42/1.51 % Source : [Hah94] % 1.42/1.51 % Names : Pelletier 51 [Pel86] % 1.42/1.51 % 1.42/1.51 % Status : Theorem % 1.42/1.51 % Rating : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.21 v3.7.0, 0.00 v3.3.0, 0.11 v3.2.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0 % 1.42/1.51 % Syntax : Number of formulae : 2 ( 0 unt; 0 def) % 1.42/1.51 % Number of atoms : 6 ( 4 equ) % 1.42/1.51 % Maximal formula atoms : 3 ( 3 avg) % 1.42/1.51 % Number of connectives : 4 ( 0 ~; 0 |; 1 &) % 1.42/1.51 % ( 3 <=>; 0 =>; 0 <=; 0 <~>) % 1.42/1.51 % Maximal formula depth : 7 ( 7 avg) % 1.42/1.51 % Maximal term depth : 1 ( 1 avg) % 1.42/1.51 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty) % 1.42/1.51 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 1.42/1.51 % Number of variables : 8 ( 4 !; 4 ?) % 1.42/1.51 % SPC : FOF_THM_RFO_SEQ % 1.42/1.51 % 1.42/1.51 % Comments : % 1.42/1.51 %-------------------------------------------------------------------------- % 1.42/1.51 %----Problem axioms % 1.42/1.51 fof(pel51_1,axiom, % 1.42/1.51 ? [Z,W] : % 1.42/1.51 ! [X,Y] : % 1.42/1.51 ( big_f(X,Y) % 1.42/1.51 <=> ( X = Z % 1.42/1.51 & Y = W ) ) ). % 1.42/1.51 % 1.42/1.51 fof(pel51,conjecture, % 1.42/1.51 ? [Z] : % 1.42/1.51 ! [X] : % 1.42/1.51 ( ? [W] : % 1.42/1.51 ! [Y] : % 1.42/1.51 ( big_f(X,Y) % 1.42/1.51 <=> Y = W ) % 1.42/1.51 <=> X = Z ) ). % 1.42/1.51 % 1.42/1.51 %-------------------------------------------------------------------------- % 1.42/1.51 %------------------------------------------- % 1.42/1.51 % Proof found % 1.42/1.51 % SZS status Theorem for theBenchmark % 1.42/1.51 % SZS output start Proof % 1.42/1.51 %ClaNum:16(EqnAxiom:9) % 1.42/1.51 %VarNum:38(SingletonVarNum:14) % 1.42/1.51 %MaxLitNum:3 % 1.42/1.51 %MaxfuncDepth:1 % 1.42/1.51 %SharedTerms:2 % 1.42/1.51 %goalClause: 13 14 15 16 % 1.42/1.51 [11]~P1(x111,x112)+E(x111,a2) % 1.42/1.51 [12]~P1(x122,x121)+E(x121,a1) % 1.42/1.51 [10]P1(x101,x102)+~E(x102,a1)+~E(x101,a2) % 1.42/1.51 [13]~E(x132,f4(x131))+E(f3(x131),x131)+P1(f3(x131),x132) % 1.42/1.51 [14]E(f3(x142),x142)+~P1(f3(x142),x141)+E(x141,f4(x142)) % 1.42/1.51 [15]~E(f3(x151),x151)+E(f5(x151,x152),x152)+P1(f3(x151),f5(x151,x152)) % 1.42/1.51 [16]~E(f3(x161),x161)+~E(f5(x161,x162),x162)+~P1(f3(x161),f5(x161,x162)) % 1.42/1.51 %EqnAxiom % 1.42/1.51 [1]E(x11,x11) % 1.42/1.51 [2]E(x22,x21)+~E(x21,x22) % 1.42/1.51 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.42/1.51 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 1.42/1.51 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53)) % 1.42/1.51 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62)) % 1.42/1.51 [7]~E(x71,x72)+E(f4(x71),f4(x72)) % 1.42/1.51 [8]P1(x82,x83)+~E(x81,x82)+~P1(x81,x83) % 1.42/1.51 [9]P1(x93,x92)+~E(x91,x92)+~P1(x93,x91) % 1.42/1.51 % 1.42/1.51 %------------------------------------------- % 1.42/1.52 cnf(17,plain, % 1.42/1.52 (E(f3(x171),x171)+P1(f3(x171),f4(x171))), % 1.42/1.52 inference(equality_inference,[],[13])). % 1.42/1.52 cnf(20,plain, % 1.42/1.52 (E(f3(x201),x201)+E(f3(x201),a2)), % 1.42/1.52 inference(scs_inference,[],[11,17])). % 1.42/1.52 cnf(38,plain, % 1.42/1.52 (E(f5(a2,x381),x381)+P1(f3(a2),f5(a2,x381))), % 1.42/1.52 inference(scs_inference,[],[15,20])). % 1.42/1.52 cnf(39,plain, % 1.42/1.52 (E(x391,f5(a2,x391))+P1(f3(a2),f5(a2,x391))), % 1.42/1.52 inference(scs_inference,[],[38,2])). % 1.42/1.52 cnf(40,plain, % 1.42/1.52 (P1(f3(a2),f5(a2,x401))+E(f3(x401),f3(f5(a2,x401)))), % 1.42/1.52 inference(scs_inference,[],[39,4])). % 1.42/1.52 cnf(42,plain, % 1.42/1.52 (~E(f5(a2,x421),x421)+~P1(f3(a2),f5(a2,x421))), % 1.42/1.52 inference(scs_inference,[],[16,20])). % 1.42/1.52 cnf(51,plain, % 1.42/1.52 (E(f5(x511,x512),f5(x511,x513))+~E(x513,x512)), % 1.42/1.52 inference(scs_inference,[],[2,6])). % 1.42/1.52 cnf(55,plain, % 1.42/1.52 (E(a2,x551)+~P1(x551,x552)), % 1.42/1.52 inference(scs_inference,[],[2,11])). % 1.42/1.52 cnf(56,plain, % 1.42/1.52 (E(f3(x561),x561)+E(a2,f3(x561))), % 1.42/1.52 inference(scs_inference,[],[55,17])). % 1.42/1.52 cnf(61,plain, % 1.42/1.52 (E(a1,x611)+~P1(x612,x611)), % 1.42/1.52 inference(scs_inference,[],[2,12])). % 1.42/1.52 cnf(86,plain, % 1.42/1.52 (~E(a1,x861)+P1(x862,x861)+~E(x862,a2)), % 1.42/1.52 inference(scs_inference,[],[2,10])). % 1.42/1.52 cnf(92,plain, % 1.42/1.52 (E(f3(f5(a2,x921)),f3(x921))+P1(f3(a2),f5(a2,x921))), % 1.42/1.52 inference(scs_inference,[],[2,40])). % 1.42/1.52 cnf(107,plain, % 1.42/1.52 (E(x1071,f3(x1071))+E(a2,f3(x1071))), % 1.42/1.52 inference(scs_inference,[],[2,56])). % 1.42/1.52 cnf(144,plain, % 1.42/1.52 (~E(a2,x1441)+P1(x1441,x1442)+~E(a1,x1442)), % 1.42/1.52 inference(scs_inference,[],[2,86])). % 1.42/1.52 cnf(145,plain, % 1.42/1.52 (~E(f5(a2,x1451),x1451)+~E(a1,f5(a2,x1451))+~E(a2,f3(a2))), % 1.42/1.52 inference(scs_inference,[],[144,42])). % 1.42/1.52 cnf(146,plain, % 1.42/1.52 (~E(f5(a2,x1461),x1461)+~E(a1,f5(a2,x1461))), % 1.42/1.52 inference(scs_inference,[],[145,107])). % 1.42/1.52 cnf(156,plain, % 1.42/1.52 (~E(x1561,f5(a2,x1561))+~E(a1,f5(a2,x1561))), % 1.42/1.52 inference(scs_inference,[],[2,146])). % 1.42/1.52 cnf(157,plain, % 1.42/1.52 (~P1(x1571,f5(a2,a1))), % 1.42/1.52 inference(scs_inference,[],[156,61])). % 1.42/1.52 cnf(159,plain, % 1.42/1.52 (~P1(x1591,f5(a2,a1))), % 1.42/1.52 inference(rename_variables,[],[157])). % 1.42/1.52 cnf(162,plain, % 1.42/1.52 (~P1(x1621,f5(a2,a1))), % 1.42/1.52 inference(rename_variables,[],[157])). % 1.42/1.52 cnf(165,plain, % 1.42/1.52 (~P1(x1651,f5(a2,a1))), % 1.42/1.52 inference(rename_variables,[],[157])). % 1.42/1.52 cnf(171,plain, % 1.42/1.52 ($false), % 1.42/1.52 inference(scs_inference,[],[157,159,162,165,38,39,40,51,92,146]), % 1.42/1.52 ['proof']). % 1.42/1.52 % SZS output end Proof % 1.42/1.52 % Total time :0.940000s %------------------------------------------------------------------------------