%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV243-2 : 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 : n017.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 16:46:14 EDT 2024 % Result : Unsatisfiable 58.64s 58.77s % Output : CNFRefutation 58.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV243-2 : 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 % 0.13/0.35 % Computer : n017.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % 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 15:12:38 EDT 2024 % 0.13/0.35 % CPUTime : % 0.59/0.64 start to proof:theBenchmark % 58.64/58.75 %------------------------------------------- % 58.64/58.75 % File :CSE---1.7 % 58.64/58.75 % Problem :theBenchmark % 58.64/58.75 % Transform :cnf % 58.64/58.75 % Format :tptp:raw % 58.64/58.75 % Command :java -jar mcs_scs.jar %d %s % 58.64/58.75 % 58.64/58.75 % Result :Theorem 58.040000s % 58.64/58.75 % Output :CNFRefutation 58.040000s % 58.64/58.75 %------------------------------------------- % 58.64/58.77 %------------------------------------------------------------------------------ % 58.64/58.77 % File : SWV243-2 : TPTP v8.2.0. Released v3.2.0. % 58.64/58.77 % Domain : Software Verification (Security) % 58.64/58.77 % Problem : Cryptographic protocol problem for messages % 58.64/58.77 % Version : [Pau06] axioms : Reduced > Especial. % 58.64/58.77 % English : % 58.64/58.77 % 58.64/58.77 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 58.64/58.77 % Source : [Pau06] % 58.64/58.77 % Names : % 58.64/58.77 % 58.64/58.77 % Status : Unsatisfiable % 58.64/58.77 % Rating : 0.05 v8.2.0, 0.04 v8.1.0, 0.10 v7.5.0, 0.08 v7.4.0, 0.13 v7.3.0, 0.11 v7.1.0, 0.06 v7.0.0, 0.00 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.11 v3.4.0, 0.12 v3.3.0, 0.07 v3.2.0 % 58.64/58.77 % Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 1 RR) % 58.64/58.77 % Number of literals : 3 ( 3 equ; 1 neg) % 58.64/58.77 % Maximal clause size : 1 ( 1 avg) % 58.64/58.77 % Maximal term depth : 4 ( 2 avg) % 58.64/58.77 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 58.64/58.77 % Number of functors : 6 ( 6 usr; 3 con; 0-3 aty) % 58.64/58.77 % Number of variables : 4 ( 1 sgn) % 58.64/58.77 % SPC : CNF_UNS_RFO_PEQ_UEQ % 58.64/58.77 % 58.64/58.77 % Comments : The problems in the [Pau06] collection each have very many axioms, % 58.64/58.77 % of which only a small selection are required for the refutation. % 58.64/58.77 % The mission is to find those few axioms, after which a refutation % 58.64/58.77 % can be quite easily found. This version has only the necessary % 58.64/58.77 % axioms. % 58.64/58.77 %------------------------------------------------------------------------------ % 58.64/58.77 cnf(cls_conjecture_0,negated_conjecture, % 58.64/58.77 c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) ). % 58.64/58.77 % 58.64/58.77 cnf(cls_Message_Oanalz__synth__Un_0,axiom, % 58.64/58.77 c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) ). % 58.64/58.77 % 58.64/58.77 cnf(cls_Set_OUn__empty__right_0,axiom, % 58.64/58.77 c_union(V_y,c_emptyset,T_a) = V_y ). % 58.64/58.77 % 58.64/58.77 %------------------------------------------------------------------------------ % 58.64/58.77 %------------------------------------------- % 58.64/58.77 % Proof found % 58.64/58.77 % SZS status Theorem for theBenchmark % 58.64/58.77 % SZS output start Proof % 58.71/58.79 %ClaNum:11(EqnAxiom:8) % 58.71/58.79 %VarNum:8(SingletonVarNum:4) % 58.71/58.79 %MaxLitNum:1 % 58.71/58.79 %MaxfuncDepth:3 % 58.71/58.79 %SharedTerms:8 % 58.71/58.79 %goalClause: 11 % 58.71/58.79 %singleGoalClaCount:1 % 58.71/58.79 [11]~E(f4(f2(a6),f3(a6),a5),f2(f3(a6))) % 58.71/58.79 [9]E(f4(x91,a1,x92),x91) % 58.71/58.79 [10]E(f4(f2(f4(x101,x102,a5)),f3(x101),a5),f2(f4(f3(x101),x102,a5))) % 58.71/58.79 %EqnAxiom % 58.71/58.79 [1]E(x11,x11) % 58.71/58.79 [2]E(x22,x21)+~E(x21,x22) % 58.71/58.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.71/58.79 [4]~E(x41,x42)+E(f4(x41,x43,x44),f4(x42,x43,x44)) % 58.71/58.79 [5]~E(x51,x52)+E(f4(x53,x51,x54),f4(x53,x52,x54)) % 58.71/58.79 [6]~E(x61,x62)+E(f4(x63,x64,x61),f4(x63,x64,x62)) % 58.71/58.79 [7]~E(x71,x72)+E(f2(x71),f2(x72)) % 58.71/58.79 [8]~E(x81,x82)+E(f3(x81),f3(x82)) % 58.71/58.79 % 58.71/58.79 %------------------------------------------- % 58.74/58.81 cnf(12,plain, % 58.74/58.81 (E(x121,f4(x121,a1,x122))), % 58.74/58.81 inference(scs_inference,[],[9,2])). % 58.74/58.81 cnf(21,plain, % 58.74/58.81 (E(f2(f4(x211,a1,x212)),f2(x211))), % 58.74/58.81 inference(scs_inference,[],[9,7])). % 58.74/58.81 cnf(23,plain, % 58.74/58.81 (E(f4(f4(x231,a1,x232),x233,x234),f4(x231,x233,x234))), % 58.74/58.81 inference(scs_inference,[],[9,7,8,4])). % 58.74/58.81 cnf(29,plain, % 58.74/58.81 (E(f4(f4(f4(x291,a1,x292),x293,x294),x295,x296),f4(f4(x291,x293,x294),x295,x296))), % 58.74/58.81 inference(scs_inference,[],[23,4])). % 58.74/58.81 cnf(34,plain, % 58.74/58.81 (~E(f2(f3(a6)),f4(f2(a6),f3(a6),a5))), % 58.74/58.81 inference(scs_inference,[],[23,11,4,8,6,7,5,2])). % 58.74/58.81 cnf(66,plain, % 58.74/58.81 (E(f4(f4(f4(x661,a1,x662),x663,x664),a1,x665),f4(x661,x663,x664))), % 58.74/58.81 inference(scs_inference,[],[9,29,21,4,6,8,7,5,3])). % 58.74/58.81 cnf(73,plain, % 58.74/58.81 (E(f2(x731),f2(f4(x731,a1,x732)))), % 58.74/58.81 inference(scs_inference,[],[66,12,8,4,6,5,7])). % 58.74/58.81 cnf(78,plain, % 58.74/58.81 (E(f4(f2(x781),x782,x783),f4(f2(f4(x781,a1,x784)),x782,x783))), % 58.74/58.81 inference(scs_inference,[],[73,6,8,4])). % 58.74/58.81 cnf(83,plain, % 58.74/58.81 (~E(f4(f2(a6),f3(a6),a5),f2(f4(f3(a6),a1,x831)))), % 58.74/58.81 inference(scs_inference,[],[73,34,6,8,4,5,7,3,2])). % 58.74/58.81 cnf(96,plain, % 58.74/58.81 ($false), % 58.74/58.81 inference(scs_inference,[],[78,83,10,12,8,4,6,5,7,3]), % 58.74/58.81 ['proof']). % 58.74/58.81 % SZS output end Proof % 58.74/58.81 % Total time :58.040000s %------------------------------------------------------------------------------