%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV247-2 : 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 : n025.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 16:46:16 EDT 2024 % Result : Unsatisfiable 71.35s 71.45s % Output : CNFRefutation 71.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV247-2 : TPTP v8.2.0. Released v3.2.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n025.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 20 19:04:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 71.35/71.45 %------------------------------------------- % 71.35/71.45 % File :CSE---1.7 % 71.35/71.45 % Problem :theBenchmark % 71.35/71.45 % Transform :cnf % 71.35/71.45 % Format :tptp:raw % 71.35/71.45 % Command :java -jar mcs_scs.jar %d %s % 71.35/71.45 % 71.35/71.45 % Result :Theorem 70.810000s % 71.35/71.45 % Output :CNFRefutation 70.810000s % 71.35/71.45 %------------------------------------------- % 71.35/71.45 %------------------------------------------------------------------------------ % 71.35/71.45 % File : SWV247-2 : TPTP v8.2.0. Released v3.2.0. % 71.35/71.45 % Domain : Software Verification (Security) % 71.35/71.45 % Problem : Cryptographic protocol problem for messages % 71.35/71.45 % Version : [Pau06] axioms : Reduced > Especial. % 71.35/71.45 % English : % 71.35/71.45 % 71.35/71.45 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 71.35/71.45 % Source : [Pau06] % 71.35/71.45 % Names : % 71.35/71.45 % 71.35/71.45 % Status : Unsatisfiable % 71.35/71.45 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.25 v6.3.0, 0.29 v6.2.0, 0.22 v6.1.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.14 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.00 v3.2.0 % 71.35/71.45 % Syntax : Number of clauses : 10 ( 3 unt; 2 nHn; 8 RR) % 71.35/71.45 % Number of literals : 20 ( 0 equ; 9 neg) % 71.35/71.45 % Maximal clause size : 3 ( 2 avg) % 71.35/71.45 % Maximal term depth : 4 ( 1 avg) % 71.35/71.45 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 71.35/71.45 % Number of functors : 11 ( 11 usr; 5 con; 0-3 aty) % 71.35/71.45 % Number of variables : 22 ( 2 sgn) % 71.35/71.45 % SPC : CNF_UNS_RFO_NEQ_NHN % 71.35/71.45 % 71.35/71.45 % Comments : The problems in the [Pau06] collection each have very many axioms, % 71.35/71.45 % of which only a small selection are required for the refutation. % 71.35/71.45 % The mission is to find those few axioms, after which a refutation % 71.35/71.45 % can be quite easily found. This version has only the necessary % 71.35/71.45 % axioms. % 71.35/71.45 %------------------------------------------------------------------------------ % 71.35/71.45 cnf(cls_Message_OCrypt__synth_1,axiom, % 71.35/71.45 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 71.35/71.45 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 71.35/71.45 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ). % 71.35/71.45 % 71.35/71.45 cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom, % 71.35/71.45 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) % 71.35/71.45 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 71.35/71.45 | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 71.35/71.45 % 71.35/71.45 cnf(cls_Message_OKey__synth_0,axiom, % 71.35/71.45 ( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg) % 71.35/71.45 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 71.35/71.45 % 71.35/71.45 cnf(cls_Message_Oanalz_OInj_0,axiom, % 71.35/71.45 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 71.35/71.45 | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 71.35/71.45 % 71.35/71.45 cnf(cls_Set_OUnCI_0,axiom, % 71.35/71.45 ( ~ c_in(V_c,V_B,T_a) % 71.35/71.45 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ). % 71.35/71.45 % 71.35/71.45 cnf(cls_Set_OUnCI_1,axiom, % 71.35/71.45 ( ~ c_in(V_c,V_A,T_a) % 71.35/71.45 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ). % 71.35/71.45 % 71.35/71.45 cnf(cls_Set_OUnE_0,axiom, % 71.35/71.45 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 71.35/71.45 | c_in(V_c,V_B,T_a) % 71.35/71.45 | c_in(V_c,V_A,T_a) ) ). % 71.35/71.45 % 71.35/71.45 cnf(cls_conjecture_1,negated_conjecture, % 71.35/71.45 c_in(c_Message_Omsg_OCrypt(v_K,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) ). % 71.35/71.45 % 71.35/71.45 cnf(cls_conjecture_3,negated_conjecture, % 71.35/71.45 c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),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) ). % 71.35/71.45 % 71.35/71.45 cnf(cls_conjecture_4,negated_conjecture, % 71.35/71.45 ~ 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) ). % 71.35/71.45 % 71.35/71.45 %------------------------------------------------------------------------------ % 71.35/71.45 %------------------------------------------- % 71.35/71.45 % Proof found % 71.35/71.45 % SZS status Theorem for theBenchmark % 71.35/71.45 % SZS output start Proof % 71.35/71.45 %ClaNum:10(EqnAxiom:0) % 71.35/71.45 %VarNum:50(SingletonVarNum:22) % 71.35/71.45 %MaxLitNum:3 % 71.35/71.45 %MaxfuncDepth:2 % 71.35/71.45 %SharedTerms:15 % 71.35/71.45 %goalClause: 1 2 3 % 71.35/71.45 %singleGoalClaCount:3 % 71.35/71.45 [1]P1(f4(f2(a1)),f8(f3(f8(a6,a10,a7)),f9(a6),a7),a7) % 71.35/71.45 [2]P1(f5(a1,a11),f8(f3(f8(a6,a10,a7)),f9(a6),a7),a7) % 71.35/71.45 [3]~P1(a11,f8(f3(f8(a6,a10,a7)),f9(a6),a7),a7) % 71.35/71.45 [4]~P1(x41,x42,a7)+P1(x41,f3(x42),a7) % 71.35/71.45 [5]~P1(f4(x51),f9(x52),a7)+P1(f4(x51),x52,a7) % 71.35/71.45 [6]~P1(x61,x63,x64)+P1(x61,f8(x62,x63,x64),x64) % 71.35/71.46 [7]~P1(x71,x72,x74)+P1(x71,f8(x72,x73,x74),x74) % 71.35/71.46 [8]P1(x81,f9(x82),a7)+P1(f5(x83,x81),x82,a7)+~P1(f5(x83,x81),f9(x82),a7) % 71.35/71.46 [9]P1(x91,f3(x92),a7)+~P1(f5(x93,x91),f3(x92),a7)+~P1(f4(f2(x93)),f3(x92),a7) % 71.35/71.46 [10]P1(x101,x102,x103)+P1(x101,x104,x103)+~P1(x101,f8(x104,x102,x103),x103) % 71.35/71.46 %EqnAxiom % 71.35/71.46 % 71.35/71.46 %------------------------------------------- % 71.35/71.46 cnf(11,plain, % 71.35/71.46 (~P1(a11,f9(a6),a7)), % 71.35/71.46 inference(scs_inference,[],[3,6])). % 71.35/71.46 cnf(15,plain, % 71.35/71.46 (~P1(a11,f8(a6,a10,a7),a7)), % 71.35/71.46 inference(scs_inference,[],[3,6,7,4])). % 71.35/71.46 cnf(17,plain, % 71.35/71.46 (P1(f5(x171,a11),a6,a7)+~P1(f5(x171,a11),f9(a6),a7)), % 71.35/71.46 inference(scs_inference,[],[3,6,7,4,8])). % 71.35/71.46 cnf(19,plain, % 71.35/71.46 (P1(f4(f2(a1)),f9(a6),a7)+P1(f4(f2(a1)),f3(f8(a6,a10,a7)),a7)), % 71.35/71.46 inference(scs_inference,[],[1,3,6,7,4,8,10])). % 71.35/71.46 cnf(25,plain, % 71.35/71.46 (P1(f5(a1,a11),f9(a6),a7)+P1(f5(a1,a11),f3(f8(a6,a10,a7)),a7)), % 71.35/71.46 inference(scs_inference,[],[15,2,7,6,10])). % 71.35/71.46 cnf(27,plain, % 71.35/71.46 (P1(f5(a1,a11),f3(f8(a6,a10,a7)),a7)+P1(f5(a1,a11),a6,a7)), % 71.35/71.46 inference(scs_inference,[],[15,2,11,7,6,10,8])). % 71.35/71.46 cnf(42,plain, % 71.35/71.46 (~P1(f5(x421,a11),f3(f8(a6,a10,a7)),a7)+~P1(f4(f2(x421)),f3(f8(a6,a10,a7)),a7)), % 71.35/71.46 inference(scs_inference,[],[3,9,7])). % 71.35/71.46 cnf(56,plain, % 71.35/71.46 (~P1(f5(x561,a11),f8(a6,a10,a7),a7)+~P1(f4(f2(x561)),f3(f8(a6,a10,a7)),a7)), % 71.35/71.46 inference(scs_inference,[],[4,42])). % 71.35/71.46 cnf(72,plain, % 71.35/71.46 (~P1(f4(x721),f8(f9(x722),f9(x722),a7),a7)+P1(f4(x721),x722,a7)), % 71.35/71.46 inference(scs_inference,[],[5,10])). % 71.35/71.46 cnf(73,plain, % 71.35/71.46 (~P1(f4(x731),f8(f9(x732),f9(x732),a7),a7)+P1(f4(x731),f3(x732),a7)), % 71.35/71.46 inference(scs_inference,[],[72,4])). % 71.35/71.46 cnf(74,plain, % 71.35/71.46 (P1(f4(x741),f8(x742,f3(x743),a7),a7)+~P1(f4(x741),f8(f9(x743),f9(x743),a7),a7)), % 71.35/71.46 inference(scs_inference,[],[73,6])). % 71.35/71.46 cnf(75,plain, % 71.35/71.46 (~P1(f4(x751),f9(x752),a7)+P1(f4(x751),f8(x753,f3(x752),a7),a7)), % 71.35/71.46 inference(scs_inference,[],[74,7])). % 71.35/71.46 cnf(76,plain, % 71.35/71.46 (P1(f4(f2(a1)),f3(f8(a6,a10,a7)),a7)+P1(f4(f2(a1)),f8(x761,f3(a6),a7),a7)), % 71.35/71.46 inference(scs_inference,[],[75,19])). % 71.35/71.46 cnf(77,plain, % 71.35/71.46 (P1(f4(f2(a1)),f8(x771,f3(a6),a7),a7)+~P1(f5(a1,a11),f3(f8(a6,a10,a7)),a7)), % 71.35/71.46 inference(scs_inference,[],[76,42])). % 71.35/71.46 cnf(78,plain, % 71.35/71.46 (P1(f5(a1,a11),f9(a6),a7)+P1(f4(f2(a1)),f8(x781,f3(a6),a7),a7)), % 71.35/71.46 inference(scs_inference,[],[77,25])). % 71.35/71.46 cnf(84,plain, % 71.35/71.46 (P1(f4(x841),f8(x842,x843,a7),a7)+~P1(f4(x841),f9(x842),a7)), % 71.35/71.46 inference(scs_inference,[],[5,7])). % 71.35/71.46 cnf(148,plain, % 71.35/71.46 (P1(f5(x1481,a11),f8(a6,x1482,a7),a7)+~P1(f5(x1481,a11),f9(a6),a7)), % 71.35/71.46 inference(scs_inference,[],[17,7])). % 71.35/71.46 cnf(343,plain, % 71.35/71.46 (~P1(f4(x3431),f9(x3432),a7)+P1(f4(x3431),f3(f8(x3432,x3433,a7)),a7)), % 71.35/71.46 inference(scs_inference,[],[84,4])). % 71.35/71.46 cnf(1027,plain, % 71.35/71.46 (P1(f4(f2(a1)),f3(f8(a6,a10,a7)),a7)+P1(f4(f2(a1)),f3(f8(a6,x10271,a7)),a7)), % 71.35/71.46 inference(scs_inference,[],[343,19])). % 71.35/71.46 cnf(1028,plain, % 71.35/71.46 (P1(f4(f2(a1)),f3(f8(a6,a10,a7)),a7)), % 71.35/71.46 inference(factoring_inference,[],[1027])). % 71.35/71.46 cnf(1047,plain, % 71.35/71.46 ($false), % 71.35/71.46 inference(scs_inference,[],[1028,56,42,4,6,7,9,10,148,27,78,25]), % 71.35/71.46 ['proof']). % 71.35/71.46 % SZS output end Proof % 71.35/71.46 % Total time :70.810000s %------------------------------------------------------------------------------