%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV254-2 : TPTP v8.2.0. Released v3.2.0. % 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 16:46:18 EDT 2024 % Result : Unsatisfiable 0.57s 0.67s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV254-2 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.13 % 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 : Thu Jun 20 19:22:54 EDT 2024 % 0.13/0.34 % CPUTime : % 0.43/0.59 start to proof:theBenchmark % 0.57/0.67 %------------------------------------------- % 0.57/0.67 % File :CSE---1.7 % 0.57/0.67 % Problem :theBenchmark % 0.57/0.67 % Transform :cnf % 0.57/0.67 % Format :tptp:raw % 0.57/0.67 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.67 % 0.57/0.67 % Result :Theorem 0.030000s % 0.57/0.67 % Output :CNFRefutation 0.030000s % 0.57/0.67 %------------------------------------------- % 0.57/0.67 %------------------------------------------------------------------------------ % 0.57/0.67 % File : SWV254-2 : TPTP v8.2.0. Released v3.2.0. % 0.57/0.67 % Domain : Software Verification (Security) % 0.57/0.67 % Problem : Cryptographic protocol problem for messages % 0.57/0.67 % Version : [Pau06] axioms : Reduced > Especial. % 0.57/0.67 % English : % 0.57/0.67 % 0.57/0.67 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.57/0.67 % Source : [Pau06] % 0.57/0.67 % Names : % 0.57/0.67 % 0.57/0.67 % Status : Unsatisfiable % 0.57/0.67 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.43 v3.2.0 % 0.57/0.67 % Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 3 RR) % 0.57/0.67 % Number of literals : 8 ( 4 equ; 3 neg) % 0.57/0.67 % Maximal clause size : 3 ( 1 avg) % 0.57/0.67 % Maximal term depth : 3 ( 1 avg) % 0.57/0.67 % Number of predicates : 3 ( 2 usr; 0 prp; 1-3 aty) % 0.57/0.67 % Number of functors : 7 ( 7 usr; 3 con; 0-3 aty) % 0.57/0.67 % Number of variables : 9 ( 4 sgn) % 0.57/0.67 % SPC : CNF_UNS_RFO_SEQ_HRN % 0.57/0.67 % 0.57/0.67 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.57/0.67 % of which only a small selection are required for the refutation. % 0.57/0.67 % The mission is to find those few axioms, after which a refutation % 0.57/0.67 % can be quite easily found. This version has only the necessary % 0.57/0.67 % axioms. % 0.57/0.67 %------------------------------------------------------------------------------ % 0.57/0.67 cnf(cls_SetInterval_OatLeastLessThan__empty_0,axiom, % 0.57/0.67 ( ~ class_Orderings_Oorder(T_a) % 0.57/0.67 | ~ c_lessequals(V_n,V_m,T_a) % 0.57/0.67 | c_SetInterval_OatLeastLessThan(V_m,V_n,T_a) = c_emptyset ) ). % 0.57/0.67 % 0.57/0.67 cnf(cls_SetInterval_OatLeastLessThan__singleton_0,axiom, % 0.57/0.67 c_SetInterval_OatLeastLessThan(V_m,c_Suc(V_m),tc_nat) = c_insert(V_m,c_emptyset,tc_nat) ). % 0.57/0.67 % 0.57/0.67 cnf(cls_Set_Oempty__not__insert_0,axiom, % 0.57/0.67 c_emptyset != c_insert(V_a,V_A,T_a) ). % 0.57/0.67 % 0.57/0.67 cnf(cls_conjecture_0,negated_conjecture, % 0.57/0.67 c_lessequals(V_U,v_x(V_U),tc_nat) ). % 0.57/0.67 % 0.57/0.67 cnf(cls_conjecture_1,negated_conjecture, % 0.57/0.67 v_x(V_U) = v_nat ). % 0.57/0.67 % 0.57/0.67 cnf(clsarity_nat_3,axiom, % 0.57/0.67 class_Orderings_Oorder(tc_nat) ). % 0.57/0.67 % 0.57/0.67 %------------------------------------------------------------------------------ % 0.57/0.67 %------------------------------------------- % 0.57/0.67 % Proof found % 0.57/0.67 % SZS status Theorem for theBenchmark % 0.57/0.67 % SZS output start Proof % 0.57/0.67 %ClaNum:19(EqnAxiom:14) % 0.57/0.67 %VarNum:14(SingletonVarNum:8) % 0.57/0.67 %MaxLitNum:3 % 0.57/0.67 %MaxfuncDepth:2 % 0.57/0.67 %SharedTerms:4 % 0.57/0.67 %goalClause: 16 % 0.57/0.67 %singleGoalClaCount:1 % 0.57/0.67 [15]P1(a1) % 0.57/0.67 [16]P2(x161,a6,a1) % 0.57/0.67 [17]E(f3(x171,f2(x171),a1),f5(x171,a4,a1)) % 0.57/0.67 [18]~E(f5(x181,x182,x183),a4) % 0.57/0.67 [19]~P1(x193)+~P2(x192,x191,x193)+E(f3(x191,x192,x193),a4) % 0.57/0.67 %EqnAxiom % 0.57/0.67 [1]E(x11,x11) % 0.57/0.67 [2]E(x22,x21)+~E(x21,x22) % 0.57/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.57/0.67 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.57/0.67 [5]~E(x51,x52)+E(f3(x51,x53,x54),f3(x52,x53,x54)) % 0.57/0.67 [6]~E(x61,x62)+E(f3(x63,x61,x64),f3(x63,x62,x64)) % 0.57/0.67 [7]~E(x71,x72)+E(f3(x73,x74,x71),f3(x73,x74,x72)) % 0.57/0.67 [8]~E(x81,x82)+E(f5(x81,x83,x84),f5(x82,x83,x84)) % 0.57/0.67 [9]~E(x91,x92)+E(f5(x93,x91,x94),f5(x93,x92,x94)) % 0.57/0.67 [10]~E(x101,x102)+E(f5(x103,x104,x101),f5(x103,x104,x102)) % 0.57/0.67 [11]~P1(x111)+P1(x112)+~E(x111,x112) % 0.57/0.67 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124) % 0.57/0.67 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134) % 0.57/0.67 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141) % 0.57/0.67 % 0.57/0.67 %------------------------------------------- % 0.57/0.68 cnf(20,plain, % 0.57/0.68 (E(f5(x201,a4,a1),f3(x201,f2(x201),a1))), % 0.57/0.68 inference(scs_inference,[],[17,2])). % 0.57/0.68 cnf(35,plain, % 0.57/0.68 (~E(a4,f3(x351,f2(x351),a1))), % 0.57/0.68 inference(scs_inference,[],[18,20,3,2])). % 0.57/0.68 cnf(45,plain, % 0.57/0.68 ($false), % 0.57/0.68 inference(scs_inference,[],[35,16,15,2,19]), % 0.57/0.68 ['proof']). % 0.57/0.68 % SZS output end Proof % 0.57/0.68 % Total time :0.030000s %------------------------------------------------------------------------------