%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV245-2 : 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 : n020.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 16:46:15 EDT 2024 % Result : Unsatisfiable 0.63s 0.69s % Output : CNFRefutation 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SWV245-2 : TPTP v8.2.0. Released v3.2.0. % 0.04/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n020.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Jun 20 20:14:24 EDT 2024 % 0.13/0.35 % CPUTime : % 0.62/0.64 start to proof:theBenchmark % 0.63/0.68 %------------------------------------------- % 0.63/0.68 % File :CSE---1.7 % 0.63/0.68 % Problem :theBenchmark % 0.63/0.68 % Transform :cnf % 0.63/0.68 % Format :tptp:raw % 0.63/0.68 % Command :java -jar mcs_scs.jar %d %s % 0.63/0.68 % 0.63/0.68 % Result :Theorem 0.000000s % 0.63/0.68 % Output :CNFRefutation 0.000000s % 0.63/0.68 %------------------------------------------- % 0.63/0.68 %------------------------------------------------------------------------------ % 0.63/0.68 % File : SWV245-2 : TPTP v8.2.0. Released v3.2.0. % 0.63/0.68 % Domain : Software Verification (Security) % 0.63/0.68 % Problem : Cryptographic protocol problem for messages % 0.63/0.68 % Version : [Pau06] axioms : Reduced > Especial. % 0.63/0.68 % English : % 0.63/0.68 % 0.63/0.68 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.63/0.68 % Source : [Pau06] % 0.63/0.68 % Names : % 0.63/0.68 % 0.63/0.68 % Status : Unsatisfiable % 0.63/0.69 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0 % 0.63/0.69 % Syntax : Number of clauses : 8 ( 2 unt; 2 nHn; 6 RR) % 0.63/0.69 % Number of literals : 16 ( 0 equ; 7 neg) % 0.63/0.69 % Maximal clause size : 3 ( 2 avg) % 0.63/0.69 % Maximal term depth : 4 ( 1 avg) % 0.63/0.69 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.63/0.69 % Number of functors : 9 ( 9 usr; 5 con; 0-3 aty) % 0.63/0.69 % Number of variables : 20 ( 3 sgn) % 0.63/0.69 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.63/0.69 % 0.63/0.69 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.63/0.69 % of which only a small selection are required for the refutation. % 0.63/0.69 % The mission is to find those few axioms, after which a refutation % 0.63/0.69 % can be quite easily found. This version has only the necessary % 0.63/0.69 % axioms. % 0.63/0.69 %------------------------------------------------------------------------------ % 0.63/0.69 cnf(cls_conjecture_1,negated_conjecture, % 0.63/0.69 c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ). % 0.63/0.69 % 0.63/0.69 cnf(cls_conjecture_2,negated_conjecture, % 0.63/0.69 ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ). % 0.63/0.69 % 0.63/0.69 cnf(cls_Message_OMPair__analz_1,axiom, % 0.63/0.69 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.63/0.69 | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.63/0.69 % 0.63/0.69 cnf(cls_Message_OMPair__synth_1,axiom, % 0.63/0.69 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.63/0.69 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.63/0.69 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) ) ). % 0.63/0.69 % 0.63/0.69 cnf(cls_Message_Oanalz_OInj_0,axiom, % 0.63/0.69 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 0.63/0.69 | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.63/0.69 % 0.63/0.69 cnf(cls_Set_OUnCI_0,axiom, % 0.63/0.69 ( ~ c_in(V_c,V_B,T_a) % 0.63/0.69 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ). % 0.63/0.69 % 0.63/0.69 cnf(cls_Set_OUnCI_1,axiom, % 0.63/0.69 ( ~ c_in(V_c,V_A,T_a) % 0.63/0.69 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ). % 0.63/0.69 % 0.63/0.69 cnf(cls_Set_OUnE_0,axiom, % 0.63/0.69 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 0.63/0.69 | c_in(V_c,V_B,T_a) % 0.63/0.69 | c_in(V_c,V_A,T_a) ) ). % 0.63/0.69 % 0.63/0.69 %------------------------------------------------------------------------------ % 0.63/0.69 %------------------------------------------- % 0.63/0.69 % Proof found % 0.63/0.69 % SZS status Theorem for theBenchmark % 0.63/0.69 % SZS output start Proof % 0.63/0.69 %ClaNum:8(EqnAxiom:0) % 0.63/0.69 %VarNum:44(SingletonVarNum:20) % 0.63/0.69 %MaxLitNum:3 % 0.63/0.69 %MaxfuncDepth:2 % 0.63/0.69 %SharedTerms:12 % 0.63/0.69 %goalClause: 1 2 % 0.63/0.69 %singleGoalClaCount:2 % 0.63/0.69 [1]P1(f2(a1,a9),f6(f3(f6(a4,a8,a5)),f7(a4),a5),a5) % 0.63/0.69 [2]~P1(a1,f6(f3(f6(a4,a8,a5)),f7(a4),a5),a5) % 0.63/0.69 [3]~P1(x31,x32,a5)+P1(x31,f3(x32),a5) % 0.63/0.69 [4]P1(x41,f3(x42),a5)+~P1(f2(x41,x43),f3(x42),a5) % 0.63/0.69 [5]~P1(x51,x53,x54)+P1(x51,f6(x52,x53,x54),x54) % 0.63/0.69 [6]~P1(x61,x62,x64)+P1(x61,f6(x62,x63,x64),x64) % 0.63/0.69 [7]P1(x71,f7(x72),a5)+P1(f2(x71,x73),x72,a5)+~P1(f2(x71,x73),f7(x72),a5) % 0.63/0.69 [8]P1(x81,x82,x83)+P1(x81,x84,x83)+~P1(x81,f6(x84,x82,x83),x83) % 0.63/0.69 %EqnAxiom % 0.63/0.69 % 0.63/0.69 %------------------------------------------- % 0.63/0.69 cnf(9,plain, % 0.63/0.69 (~P1(a1,f7(a4),a5)), % 0.63/0.69 inference(scs_inference,[],[2,5])). % 0.63/0.69 cnf(13,plain, % 0.63/0.69 (~P1(a1,f6(a4,a8,a5),a5)), % 0.63/0.69 inference(scs_inference,[],[2,5,6,3])). % 0.63/0.69 cnf(15,plain, % 0.63/0.69 (~P1(f2(a1,x151),f3(f6(a4,a8,a5)),a5)), % 0.63/0.69 inference(scs_inference,[],[2,5,6,3,4])). % 0.63/0.69 cnf(19,plain, % 0.63/0.69 (P1(f2(a1,a9),f7(a4),a5)), % 0.63/0.69 inference(scs_inference,[],[1,2,5,6,3,4,7,8])). % 0.63/0.69 cnf(21,plain, % 0.63/0.69 (~P1(f2(a1,x211),f6(a4,a8,a5),a5)), % 0.63/0.69 inference(scs_inference,[],[15,3])). % 0.63/0.69 cnf(29,plain, % 0.63/0.69 (P1(f2(a1,a9),a4,a5)), % 0.63/0.69 inference(scs_inference,[],[13,19,15,9,3,4,6,5,7])). % 0.63/0.69 cnf(31,plain, % 0.63/0.69 ($false), % 0.63/0.69 inference(scs_inference,[],[21,29,6]), % 0.63/0.69 ['proof']). % 0.63/0.69 % SZS output end Proof % 0.63/0.69 % Total time :0.000000s %------------------------------------------------------------------------------