%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV315-2 : 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 : n029.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 16:46:40 EDT 2024 % Result : Unsatisfiable 116.74s 116.76s % Output : CNFRefutation 116.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV315-2 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n029.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Thu Jun 20 17:20:54 EDT 2024 % 0.13/0.33 % CPUTime : % 0.49/0.59 start to proof:theBenchmark % 116.74/116.74 %------------------------------------------- % 116.74/116.74 % File :CSE---1.7 % 116.74/116.74 % Problem :theBenchmark % 116.74/116.74 % Transform :cnf % 116.74/116.74 % Format :tptp:raw % 116.74/116.74 % Command :java -jar mcs_scs.jar %d %s % 116.74/116.74 % 116.74/116.74 % Result :Theorem 116.100000s % 116.74/116.74 % Output :CNFRefutation 116.100000s % 116.74/116.74 %------------------------------------------- % 116.74/116.75 %------------------------------------------------------------------------------ % 116.74/116.75 % File : SWV315-2 : TPTP v8.2.0. Released v3.2.0. % 116.74/116.75 % Domain : Software Verification (Security) % 116.74/116.75 % Problem : Cryptographic protocol problem for Otway Rees % 116.74/116.75 % Version : [Pau06] axioms : Reduced > Especial. % 116.74/116.75 % English : % 116.74/116.75 % 116.74/116.75 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 116.74/116.75 % Source : [Pau06] % 116.74/116.75 % Names : % 116.74/116.75 % 116.74/116.75 % Status : Unsatisfiable % 116.74/116.75 % Rating : 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0 % 116.74/116.75 % Syntax : Number of clauses : 11 ( 1 unt; 2 nHn; 9 RR) % 116.74/116.75 % Number of literals : 23 ( 0 equ; 11 neg) % 116.74/116.75 % Maximal clause size : 3 ( 2 avg) % 116.74/116.75 % Maximal term depth : 4 ( 1 avg) % 116.74/116.75 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 116.74/116.75 % Number of functors : 15 ( 15 usr; 7 con; 0-3 aty) % 116.74/116.75 % Number of variables : 19 ( 2 sgn) % 116.74/116.75 % SPC : CNF_UNS_RFO_NEQ_NHN % 116.74/116.75 % 116.74/116.75 % Comments : The problems in the [Pau06] collection each have very many axioms, % 116.74/116.75 % of which only a small selection are required for the refutation. % 116.74/116.76 % The mission is to find those few axioms, after which a refutation % 116.74/116.76 % can be quite easily found. This version has only the necessary % 116.74/116.76 % axioms. % 116.74/116.76 %------------------------------------------------------------------------------ % 116.74/116.76 cnf(cls_conjecture_1,negated_conjecture, % 116.74/116.76 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_conjecture_2,negated_conjecture, % 116.74/116.76 ( c_in(v_A,c_Event_Obad,tc_Message_Oagent) % 116.74/116.76 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_conjecture_4,negated_conjecture, % 116.74/116.76 ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) % 116.74/116.76 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_conjecture_5,negated_conjecture, % 116.74/116.76 ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) % 116.74/116.76 | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom, % 116.74/116.76 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 116.74/116.76 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 116.74/116.76 | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_Message_OKey__synth__eq_0,axiom, % 116.74/116.76 ( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg) % 116.74/116.76 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_Message_Oanalz__conj__parts_0,axiom, % 116.74/116.76 ( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 116.74/116.76 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_Message_Oparts_OInj_0,axiom, % 116.74/116.76 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 116.74/116.76 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom, % 116.74/116.76 ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 116.74/116.76 | c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_Set_OUn__iff_0,axiom, % 116.74/116.76 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 116.74/116.76 | c_in(V_c,V_B,T_a) % 116.74/116.76 | c_in(V_c,V_A,T_a) ) ). % 116.74/116.76 % 116.74/116.76 cnf(cls_Set_Oinsert__iff_2,axiom, % 116.74/116.76 ( ~ c_in(V_a,V_A,T_a) % 116.74/116.76 | c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ) ). % 116.74/116.76 % 116.74/116.76 %------------------------------------------------------------------------------ % 116.74/116.76 %------------------------------------------- % 116.74/116.76 % Proof found % 116.74/116.76 % SZS status Theorem for theBenchmark % 116.74/116.76 % SZS output start Proof % 116.74/116.76 %ClaNum:11(EqnAxiom:0) % 116.74/116.76 %VarNum:42(SingletonVarNum:19) % 116.74/116.76 %MaxLitNum:3 % 116.74/116.76 %MaxfuncDepth:3 % 116.74/116.76 %SharedTerms:21 % 116.74/116.76 %goalClause: 1 6 9 10 % 116.74/116.76 %singleGoalClaCount:1 % 116.74/116.76 [1]P1(a1,f6(f5(f3(a2,a15))),a9) % 116.74/116.76 [6]P1(a14,a4,a11)+~P1(f8(f10(a14)),f7(f3(a2,a15)),a9) % 116.74/116.76 [9]P1(a14,a4,a11)+P1(f8(f10(a14)),f7(f12(a1,f3(a2,a15),a9)),a9) % 116.74/116.76 [10]~P1(a14,a4,a11)+~P1(f8(f10(a14)),f7(f12(a1,f3(a2,a15),a9)),a9) % 116.74/116.76 [2]~P1(x21,x22,a9)+P1(x21,f7(x22),a9) % 116.74/116.76 [3]~P1(x31,f5(x32),a9)+P1(x31,f7(x32),a9) % 116.74/116.76 [4]~P1(f8(x41),f6(x42),a9)+P1(f8(x41),x42,a9) % 116.74/116.76 [5]~P1(x51,a4,a11)+P1(f8(f10(x51)),f3(a2,x52),a9) % 116.74/116.76 [7]~P1(x71,x73,x74)+P1(x71,f12(x72,x73,x74),x74) % 116.74/116.76 [11]~P1(x113,f6(f5(x112)),a9)+~P1(x111,f7(f12(x113,x112,a9)),a9)+P1(x111,f13(f6(f5(x112)),f7(x112),a9),a9) % 116.74/116.76 [8]P1(x81,x82,x83)+P1(x81,x84,x83)+~P1(x81,f13(x84,x82,x83),x83) % 116.74/116.76 %EqnAxiom % 116.74/116.76 % 116.74/116.76 %------------------------------------------- % 116.77/116.77 cnf(13,plain, % 116.77/116.77 (P1(a14,a4,a11)+~P1(f8(f10(a14)),f5(f3(a2,a15)),a9)), % 116.77/116.77 inference(scs_inference,[],[3,6])). % 116.77/116.77 cnf(15,plain, % 116.77/116.77 (P1(f8(f10(a14)),f3(a2,x151),a9)+P1(f8(f10(a14)),f7(f12(a1,f3(a2,a15),a9)),a9)), % 116.77/116.77 inference(scs_inference,[],[5,9])). % 116.77/116.77 cnf(16,plain, % 116.77/116.77 (~P1(f8(f10(a14)),f5(f3(a2,a15)),a9)+P1(f8(f10(a14)),f3(a2,x161),a9)), % 116.77/116.77 inference(scs_inference,[],[13,5])). % 116.77/116.77 cnf(17,plain, % 116.77/116.77 (P1(f8(f10(a14)),f3(a2,x171),a9)+~P1(f8(f10(a14)),f6(f5(f3(a2,a15))),a9)), % 116.77/116.77 inference(scs_inference,[],[16,4])). % 116.77/116.77 cnf(37,plain, % 116.77/116.78 (~P1(f8(f10(a14)),f6(f5(f3(a2,a15))),a9)+P1(f8(f10(a14)),f7(f3(a2,x371)),a9)), % 116.77/116.78 inference(scs_inference,[],[2,17])). % 116.77/116.78 cnf(62,plain, % 116.77/116.78 (P1(x621,x622,a9)+~P1(x621,f13(f5(x623),x622,a9),a9)+P1(x621,f7(x623),a9)), % 116.77/116.78 inference(scs_inference,[],[3,8])). % 116.77/116.78 cnf(83,plain, % 116.77/116.78 (P1(a14,a4,a11)+~P1(f8(f10(a14)),f6(f7(f3(a2,a15))),a9)), % 116.77/116.78 inference(scs_inference,[],[4,6])). % 116.77/116.78 cnf(86,plain, % 116.77/116.78 (P1(f8(x861),f7(x862),a9)+~P1(f8(x861),f13(f5(x862),f6(x863),a9),a9)+P1(f8(x861),x863,a9)), % 116.77/116.78 inference(scs_inference,[],[4,62])). % 116.77/116.78 cnf(114,plain, % 116.77/116.78 (P1(f8(x1141),f7(x1142),a9)+P1(f8(x1141),x1143,a9)+~P1(f8(x1141),f6(f13(f5(x1142),x1143,a9)),a9)), % 116.77/116.78 inference(scs_inference,[],[4,62])). % 116.77/116.78 cnf(124,plain, % 116.77/116.78 (P1(f8(f10(x1241)),f12(x1242,f3(a2,x1243),a9),a9)+~P1(x1241,a4,a11)), % 116.77/116.78 inference(scs_inference,[],[7,5])). % 116.77/116.78 cnf(125,plain, % 116.77/116.78 (~P1(x1251,a4,a11)+P1(f8(f10(x1251)),f7(f12(x1252,f3(a2,x1253),a9)),a9)), % 116.77/116.78 inference(scs_inference,[],[124,2])). % 116.77/116.78 cnf(126,plain, % 116.77/116.78 (~P1(a14,a4,a11)), % 116.77/116.78 inference(scs_inference,[],[125,10])). % 116.77/116.78 cnf(127,plain, % 116.77/116.78 (~P1(f8(f10(a14)),f7(f3(a2,a15)),a9)), % 116.77/116.78 inference(scs_inference,[],[126,6])). % 116.77/116.78 cnf(133,plain, % 116.77/116.78 (~P1(f8(f10(a14)),f6(f7(f3(a2,a15))),a9)), % 116.77/116.78 inference(scs_inference,[],[126,83])). % 116.77/116.78 cnf(139,plain, % 116.77/116.78 (~P1(f8(f10(a14)),f6(f5(f3(a2,a15))),a9)), % 116.77/116.78 inference(scs_inference,[],[127,37])). % 116.77/116.78 cnf(143,plain, % 116.77/116.78 (~P1(f8(f10(a14)),f3(a2,a15),a9)), % 116.77/116.78 inference(scs_inference,[],[127,2])). % 116.77/116.78 cnf(147,plain, % 116.77/116.78 (P1(f8(f10(a14)),f7(f12(a1,f3(a2,a15),a9)),a9)), % 116.77/116.78 inference(scs_inference,[],[143,15])). % 116.77/116.78 cnf(288,plain, % 116.77/116.78 (~P1(a14,f13(a4,a4,a11),a11)), % 116.77/116.78 inference(scs_inference,[],[143,5,8])). % 116.77/116.78 cnf(2160,plain, % 116.77/116.78 (~P1(f8(f10(a14)),f13(f6(f7(f3(a2,a15))),f3(a2,a15),a9),a9)), % 116.77/116.78 inference(scs_inference,[],[133,127,8,2])). % 116.77/116.78 cnf(2415,plain, % 116.77/116.78 (P1(f8(f10(a14)),f13(f6(f5(f3(a2,a15))),f7(f3(a2,a15)),a9),a9)), % 116.77/116.78 inference(scs_inference,[],[1,2160,288,147,127,7,2,4,8,86,114,11])). % 116.77/116.78 cnf(2774,plain, % 116.77/116.78 ($false), % 116.77/116.78 inference(scs_inference,[],[127,139,2415,8]), % 116.77/116.78 ['proof']). % 116.77/116.78 % SZS output end Proof % 116.77/116.78 % Total time :116.100000s %------------------------------------------------------------------------------