%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ANA007-2 : 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 : n028.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 04:13:52 EDT 2024 % Result : Unsatisfiable 0.46s 0.61s % Output : CNFRefutation 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ANA007-2 : 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 : n028.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 : Sun Jun 23 04:54:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.46/0.56 start to proof:theBenchmark % 0.46/0.60 %------------------------------------------- % 0.46/0.60 % File :CSE---1.7 % 0.46/0.60 % Problem :theBenchmark % 0.46/0.60 % Transform :cnf % 0.46/0.60 % Format :tptp:raw % 0.46/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.46/0.60 % 0.46/0.60 % Result :Theorem 0.000000s % 0.46/0.60 % Output :CNFRefutation 0.000000s % 0.46/0.60 %------------------------------------------- % 0.46/0.60 %------------------------------------------------------------------------------ % 0.46/0.60 % File : ANA007-2 : TPTP v8.2.0. Released v3.2.0. % 0.46/0.60 % Domain : Analysis % 0.46/0.60 % Problem : Problem about Big-O notation % 0.46/0.60 % Version : [Pau06] axioms : Reduced > Especial. % 0.46/0.60 % English : % 0.46/0.60 % 0.46/0.60 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.46/0.60 % Source : [Pau06] % 0.46/0.60 % Names : % 0.46/0.60 % 0.46/0.60 % Status : Unsatisfiable % 0.46/0.61 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.29 v3.2.0 % 0.46/0.61 % Syntax : Number of clauses : 5 ( 2 unt; 0 nHn; 3 RR) % 0.46/0.61 % Number of literals : 8 ( 1 equ; 4 neg) % 0.46/0.61 % Maximal clause size : 2 ( 1 avg) % 0.46/0.61 % Maximal term depth : 5 ( 2 avg) % 0.46/0.61 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty) % 0.46/0.61 % Number of functors : 6 ( 6 usr; 2 con; 0-3 aty) % 0.46/0.61 % Number of variables : 6 ( 0 sgn) % 0.46/0.61 % SPC : CNF_UNS_RFO_SEQ_HRN % 0.46/0.61 % 0.46/0.61 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.46/0.61 % of which only a small selection are required for the refutation. % 0.46/0.61 % The mission is to find those few axioms, after which a refutation % 0.46/0.61 % can be quite easily found. This version has only the necessary % 0.46/0.61 % axioms. % 0.46/0.61 %------------------------------------------------------------------------------ % 0.46/0.61 cnf(cls_conjecture_0,negated_conjecture, % 0.46/0.61 ~ c_lessequals(c_HOL_Oabs(v_f(v_x(V_U)),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b) ). % 0.46/0.61 % 0.46/0.61 cnf(tfree_tcs,negated_conjecture, % 0.46/0.61 class_Ring__and__Field_Oordered__idom(t_b) ). % 0.46/0.61 % 0.46/0.61 cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom, % 0.46/0.61 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.61 | c_lessequals(V_x,V_x,T_a) ) ). % 0.46/0.61 % 0.46/0.61 cnf(cls_Ring__and__Field_Omult__cancel__right1_2,axiom, % 0.46/0.61 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.46/0.61 | V_c = c_times(c_1,V_c,T_a) ) ). % 0.46/0.61 % 0.46/0.61 cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom, % 0.46/0.61 ( ~ class_Ring__and__Field_Oordered__idom(T) % 0.46/0.61 | class_Orderings_Oorder(T) ) ). % 0.46/0.61 % 0.46/0.61 %------------------------------------------------------------------------------ % 0.46/0.61 %------------------------------------------- % 0.46/0.61 % Proof found % 0.46/0.61 % SZS status Theorem for theBenchmark % 0.46/0.61 % SZS output start Proof % 0.46/0.61 %ClaNum:20(EqnAxiom:15) % 0.46/0.61 %VarNum:13(SingletonVarNum:6) % 0.46/0.61 %MaxLitNum:2 % 0.46/0.61 %MaxfuncDepth:4 % 0.46/0.61 %SharedTerms:3 % 0.46/0.61 %goalClause: 16 17 % 0.46/0.61 %singleGoalClaCount:2 % 0.46/0.61 [16]P1(a1) % 0.46/0.61 [17]~P2(f2(f6(f5(x171)),a1),f4(x171,f2(f6(f5(x171)),a1),a1),a1) % 0.46/0.61 [18]~P1(x181)+P3(x181) % 0.46/0.61 [20]~P3(x202)+P2(x201,x201,x202) % 0.46/0.61 [19]~P1(x192)+E(f4(a3,x191,x192),x191) % 0.46/0.61 %EqnAxiom % 0.46/0.61 [1]E(x11,x11) % 0.46/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.46/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.46/0.61 [4]~E(x41,x42)+E(f5(x41),f5(x42)) % 0.46/0.61 [5]~E(x51,x52)+E(f6(x51),f6(x52)) % 0.46/0.61 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63)) % 0.46/0.61 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72)) % 0.46/0.61 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84)) % 0.46/0.61 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94)) % 0.46/0.61 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102)) % 0.46/0.61 [11]~P1(x111)+P1(x112)+~E(x111,x112) % 0.46/0.61 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124) % 0.46/0.61 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134) % 0.46/0.61 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141) % 0.46/0.61 [15]~P3(x151)+P3(x152)+~E(x151,x152) % 0.46/0.61 % 0.46/0.61 %------------------------------------------- % 0.46/0.61 cnf(21,plain, % 0.46/0.61 (P2(x211,x211,a1)), % 0.46/0.61 inference(scs_inference,[],[16,18,20])). % 0.46/0.61 cnf(23,plain, % 0.46/0.61 (P2(x231,x231,a1)), % 0.46/0.61 inference(rename_variables,[],[21])). % 0.46/0.61 cnf(24,plain, % 0.46/0.61 (~E(f2(f6(f5(x241)),a1),f4(x241,f2(f6(f5(x241)),a1),a1))), % 0.46/0.61 inference(scs_inference,[],[17,21,23,12,13])). % 0.46/0.61 cnf(28,plain, % 0.46/0.61 ($false), % 0.46/0.61 inference(scs_inference,[],[24,16,2,19]), % 0.46/0.61 ['proof']). % 0.46/0.61 % SZS output end Proof % 0.46/0.61 % Total time :0.000000s %------------------------------------------------------------------------------