%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV272-2 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n018.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 16:46:25 EDT 2024 % Result : Unsatisfiable 0.56s 0.62s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV272-2 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n018.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 18:48:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.20/0.58 start to proof:theBenchmark % 0.55/0.62 %------------------------------------------- % 0.55/0.62 % File :CSE---1.7 % 0.55/0.62 % Problem :theBenchmark % 0.55/0.62 % Transform :cnf % 0.55/0.62 % Format :tptp:raw % 0.55/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.62 % 0.55/0.62 % Result :Theorem 0.000000s % 0.55/0.62 % Output :CNFRefutation 0.000000s % 0.55/0.62 %------------------------------------------- % 0.56/0.62 %------------------------------------------------------------------------------ % 0.56/0.62 % File : SWV272-2 : TPTP v8.2.0. Released v3.2.0. % 0.56/0.62 % Domain : Software Verification (Security) % 0.56/0.62 % Problem : Cryptographic protocol problem for messages % 0.56/0.62 % Version : [Pau06] axioms : Reduced > Especial. % 0.56/0.62 % English : % 0.56/0.62 % 0.56/0.62 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.56/0.62 % Source : [Pau06] % 0.56/0.62 % Names : % 0.56/0.62 % 0.56/0.62 % Status : Unsatisfiable % 0.56/0.62 % Rating : 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0 % 0.56/0.62 % Syntax : Number of clauses : 8 ( 2 unt; 2 nHn; 6 RR) % 0.56/0.62 % Number of literals : 16 ( 0 equ; 7 neg) % 0.56/0.62 % Maximal clause size : 3 ( 2 avg) % 0.56/0.62 % Maximal term depth : 3 ( 1 avg) % 0.56/0.62 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.56/0.62 % Number of functors : 8 ( 8 usr; 4 con; 0-3 aty) % 0.56/0.62 % Number of variables : 20 ( 3 sgn) % 0.56/0.62 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.56/0.62 % 0.56/0.62 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.56/0.62 % of which only a small selection are required for the refutation. % 0.56/0.62 % The mission is to find those few axioms, after which a refutation % 0.56/0.62 % can be quite easily found. This version has only the necessary % 0.56/0.62 % axioms. % 0.56/0.62 %------------------------------------------------------------------------------ % 0.56/0.62 cnf(cls_conjecture_1,negated_conjecture, % 0.56/0.62 c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ). % 0.56/0.62 % 0.56/0.62 cnf(cls_conjecture_2,negated_conjecture, % 0.56/0.62 ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ). % 0.56/0.62 % 0.56/0.62 cnf(cls_Message_OCrypt__synth_1,axiom, % 0.56/0.62 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.56/0.62 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.56/0.62 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ). % 0.56/0.62 % 0.56/0.62 cnf(cls_Message_Oparts_OBody_0,axiom, % 0.56/0.62 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) % 0.56/0.62 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.56/0.62 % 0.56/0.62 cnf(cls_Message_Oparts_OInj_0,axiom, % 0.56/0.62 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 0.56/0.62 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.56/0.62 % 0.56/0.62 cnf(cls_Set_OUn__iff_0,axiom, % 0.56/0.62 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 0.56/0.62 | c_in(V_c,V_B,T_a) % 0.56/0.62 | c_in(V_c,V_A,T_a) ) ). % 0.56/0.62 % 0.56/0.62 cnf(cls_Set_OUn__iff_1,axiom, % 0.56/0.62 ( ~ c_in(V_c,V_A,T_a) % 0.56/0.62 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ). % 0.56/0.62 % 0.56/0.62 cnf(cls_Set_OUn__iff_2,axiom, % 0.56/0.62 ( ~ c_in(V_c,V_B,T_a) % 0.56/0.62 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ). % 0.56/0.62 % 0.56/0.62 %------------------------------------------------------------------------------ % 0.56/0.62 %------------------------------------------- % 0.56/0.62 % Proof found % 0.56/0.62 % SZS status Theorem for theBenchmark % 0.56/0.62 % SZS output start Proof % 0.56/0.63 %ClaNum:8(EqnAxiom:0) % 0.56/0.63 %VarNum:44(SingletonVarNum:20) % 0.56/0.63 %MaxLitNum:3 % 0.56/0.63 %MaxfuncDepth:2 % 0.56/0.63 %SharedTerms:10 % 0.56/0.63 %goalClause: 1 2 % 0.56/0.63 %singleGoalClaCount:2 % 0.56/0.63 [1]P1(f2(a1,a8),f7(f4(a3),f5(a3),a6),a6) % 0.56/0.63 [2]~P1(a8,f7(f4(a3),f5(a3),a6),a6) % 0.56/0.63 [3]~P1(x31,x32,a6)+P1(x31,f4(x32),a6) % 0.56/0.63 [4]P1(x41,f4(x42),a6)+~P1(f2(x43,x41),f4(x42),a6) % 0.56/0.63 [5]~P1(x51,x53,x54)+P1(x51,f7(x52,x53,x54),x54) % 0.56/0.63 [6]~P1(x61,x62,x64)+P1(x61,f7(x62,x63,x64),x64) % 0.56/0.63 [7]P1(x71,f5(x72),a6)+P1(f2(x73,x71),x72,a6)+~P1(f2(x73,x71),f5(x72),a6) % 0.56/0.63 [8]P1(x81,x82,x83)+P1(x81,x84,x83)+~P1(x81,f7(x84,x82,x83),x83) % 0.56/0.63 %EqnAxiom % 0.56/0.63 % 0.56/0.63 %------------------------------------------- % 0.56/0.63 cnf(9,plain, % 0.56/0.63 (~P1(a8,f5(a3),a6)), % 0.56/0.63 inference(scs_inference,[],[2,5])). % 0.56/0.63 cnf(15,plain, % 0.56/0.63 (~P1(f2(x151,a8),f4(a3),a6)), % 0.56/0.63 inference(scs_inference,[],[2,5,6,3,4])). % 0.56/0.63 cnf(19,plain, % 0.56/0.63 (P1(f2(a1,a8),f5(a3),a6)), % 0.56/0.63 inference(scs_inference,[],[1,2,5,6,3,4,7,8])). % 0.56/0.63 cnf(25,plain, % 0.56/0.63 ($false), % 0.56/0.63 inference(scs_inference,[],[19,15,9,4,3,7]), % 0.56/0.63 ['proof']). % 0.56/0.63 % SZS output end Proof % 0.56/0.63 % Total time :0.000000s %------------------------------------------------------------------------------