%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ANA009-2 : 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 : n032.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 0.14s 0.50s % Output : CNFRefutation 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.09 % Problem : ANA009-2 : TPTP v8.2.0. Released v3.2.0. % 0.06/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.10/0.28 % Computer : n032.cluster.edu % 0.10/0.28 % Model : x86_64 x86_64 % 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.28 % Memory : 8042.1875MB % 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.28 % CPULimit : 300 % 0.10/0.28 % WCLimit : 300 % 0.10/0.28 % DateTime : Sun Jun 23 04:25:38 EDT 2024 % 0.10/0.28 % CPUTime : % 0.14/0.46 start to proof:theBenchmark % 0.14/0.50 %------------------------------------------- % 0.14/0.50 % File :CSE---1.7 % 0.14/0.50 % Problem :theBenchmark % 0.14/0.50 % Transform :cnf % 0.14/0.50 % Format :tptp:raw % 0.14/0.50 % Command :java -jar mcs_scs.jar %d %s % 0.14/0.50 % 0.14/0.50 % Result :Theorem 0.010000s % 0.14/0.50 % Output :CNFRefutation 0.010000s % 0.14/0.50 %------------------------------------------- % 0.14/0.50 %------------------------------------------------------------------------------ % 0.14/0.50 % File : ANA009-2 : TPTP v8.2.0. Released v3.2.0. % 0.14/0.50 % Domain : Analysis % 0.14/0.50 % Problem : Problem about Big-O notation % 0.14/0.50 % Version : [Pau06] axioms : Reduced > Especial. % 0.14/0.50 % English : % 0.14/0.50 % 0.14/0.50 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.14/0.50 % Source : [Pau06] % 0.14/0.50 % Names : % 0.14/0.50 % 0.14/0.50 % Status : Unsatisfiable % 0.14/0.50 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0 % 0.14/0.50 % Syntax : Number of clauses : 7 ( 3 unt; 0 nHn; 4 RR) % 0.14/0.50 % Number of literals : 12 ( 1 equ; 6 neg) % 0.14/0.50 % Maximal clause size : 3 ( 1 avg) % 0.14/0.50 % Maximal term depth : 4 ( 1 avg) % 0.14/0.50 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty) % 0.14/0.50 % Number of functors : 7 ( 7 usr; 3 con; 0-3 aty) % 0.14/0.50 % Number of variables : 9 ( 0 sgn) % 0.14/0.50 % SPC : CNF_UNS_RFO_SEQ_HRN % 0.14/0.50 % 0.14/0.50 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.14/0.50 % of which only a small selection are required for the refutation. % 0.14/0.50 % The mission is to find those few axioms, after which a refutation % 0.14/0.50 % can be quite easily found. This version has only the necessary % 0.14/0.50 % axioms. % 0.14/0.50 %------------------------------------------------------------------------------ % 0.14/0.50 cnf(cls_OrderedGroup_Oadd__le__cancel__right_1,axiom, % 0.14/0.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.14/0.50 | ~ c_lessequals(V_a,V_b,T_a) % 0.14/0.50 | c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a) ) ). % 0.14/0.50 % 0.14/0.50 cnf(cls_OrderedGroup_Oright__minus_0,axiom, % 0.14/0.50 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.14/0.50 | c_plus(V_a,c_uminus(V_a,T_a),T_a) = c_0 ) ). % 0.14/0.50 % 0.14/0.50 cnf(cls_conjecture_0,negated_conjecture, % 0.14/0.50 c_lessequals(v_lb(V_U),v_f(V_U),t_b) ). % 0.14/0.50 % 0.14/0.50 cnf(cls_conjecture_2,negated_conjecture, % 0.14/0.50 ~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b) ). % 0.14/0.50 % 0.14/0.50 cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom, % 0.14/0.50 ( ~ class_Ring__and__Field_Oordered__idom(T) % 0.14/0.50 | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ) ). % 0.14/0.50 % 0.14/0.50 cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom, % 0.14/0.50 ( ~ class_Ring__and__Field_Oordered__idom(T) % 0.14/0.50 | class_OrderedGroup_Oab__group__add(T) ) ). % 0.14/0.50 % 0.14/0.50 cnf(tfree_tcs,negated_conjecture, % 0.14/0.50 class_Ring__and__Field_Oordered__idom(t_b) ). % 0.14/0.50 % 0.14/0.50 %------------------------------------------------------------------------------ % 0.14/0.50 %------------------------------------------- % 0.14/0.50 % Proof found % 0.14/0.50 % SZS status Theorem for theBenchmark % 0.14/0.50 % SZS output start Proof % 0.14/0.50 %ClaNum:23(EqnAxiom:16) % 0.14/0.50 %VarNum:22(SingletonVarNum:9) % 0.14/0.50 %MaxLitNum:3 % 0.14/0.50 %MaxfuncDepth:3 % 0.14/0.50 %SharedTerms:9 % 0.14/0.50 %goalClause: 17 18 19 % 0.14/0.50 %singleGoalClaCount:3 % 0.14/0.50 [17]P1(a1) % 0.14/0.50 [19]~P2(a2,f4(f6(a7),f3(f5(a7),a1),a1),a1) % 0.14/0.50 [18]P2(f5(x181),f6(x181),a1) % 0.14/0.50 [20]~P1(x201)+P3(x201) % 0.14/0.50 [21]~P1(x211)+P4(x211) % 0.14/0.50 [22]~P4(x222)+E(f4(x221,f3(x221,x222),x222),a2) % 0.14/0.50 [23]~P3(x233)+~P2(x231,x234,x233)+P2(f4(x231,x232,x233),f4(x234,x232,x233),x233) % 0.14/0.50 %EqnAxiom % 0.14/0.50 [1]E(x11,x11) % 0.14/0.50 [2]E(x22,x21)+~E(x21,x22) % 0.14/0.50 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.14/0.50 [4]~E(x41,x42)+E(f5(x41),f5(x42)) % 0.14/0.50 [5]~E(x51,x52)+E(f6(x51),f6(x52)) % 0.14/0.50 [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64)) % 0.14/0.50 [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74)) % 0.14/0.50 [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82)) % 0.14/0.50 [9]~E(x91,x92)+E(f3(x91,x93),f3(x92,x93)) % 0.14/0.50 [10]~E(x101,x102)+E(f3(x103,x101),f3(x103,x102)) % 0.14/0.50 [11]~P1(x111)+P1(x112)+~E(x111,x112) % 0.14/0.50 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124) % 0.14/0.50 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134) % 0.14/0.50 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141) % 0.14/0.50 [15]~P4(x151)+P4(x152)+~E(x151,x152) % 0.14/0.50 [16]~P3(x161)+P3(x162)+~E(x161,x162) % 0.14/0.50 % 0.14/0.50 %------------------------------------------- % 0.14/0.50 cnf(34,plain, % 0.14/0.50 (P2(f4(f5(x341),x342,a1),f4(f6(x341),x342,a1),a1)), % 0.14/0.50 inference(scs_inference,[],[17,18,20,23])). % 0.14/0.50 cnf(37,plain, % 0.14/0.50 (~P4(a1)), % 0.14/0.50 inference(scs_inference,[],[19,34,12,22])). % 0.14/0.50 cnf(46,plain, % 0.14/0.50 ($false), % 0.14/0.50 inference(scs_inference,[],[17,37,21]), % 0.14/0.50 ['proof']). % 0.14/0.50 % SZS output end Proof % 0.14/0.50 % Total time :0.010000s %------------------------------------------------------------------------------