%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ANA010-2 : 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 : n001.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 0.57s 0.82s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ANA010-2 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n001.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 : Sun Jun 23 04:22:23 EDT 2024 % 0.13/0.33 % CPUTime : % 0.56/0.58 start to proof:theBenchmark % 0.57/0.82 %------------------------------------------- % 0.57/0.82 % File :CSE---1.7 % 0.57/0.82 % Problem :theBenchmark % 0.57/0.82 % Transform :cnf % 0.57/0.82 % Format :tptp:raw % 0.57/0.82 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.82 % 0.57/0.82 % Result :Theorem 0.210000s % 0.57/0.82 % Output :CNFRefutation 0.210000s % 0.57/0.82 %------------------------------------------- % 0.57/0.82 %------------------------------------------------------------------------------ % 0.57/0.82 % File : ANA010-2 : TPTP v8.2.0. Released v3.2.0. % 0.57/0.82 % Domain : Analysis % 0.57/0.82 % Problem : Problem about Big-O notation % 0.57/0.82 % Version : [Pau06] axioms : Reduced > Especial. % 0.57/0.82 % English : % 0.57/0.82 % 0.57/0.82 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.57/0.82 % Source : [Pau06] % 0.57/0.82 % Names : % 0.57/0.82 % 0.57/0.82 % Status : Unsatisfiable % 0.57/0.82 % 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, 0.29 v3.2.0 % 0.57/0.82 % Syntax : Number of clauses : 9 ( 4 unt; 0 nHn; 6 RR) % 0.57/0.82 % Number of literals : 17 ( 2 equ; 9 neg) % 0.57/0.82 % Maximal clause size : 4 ( 1 avg) % 0.57/0.82 % Maximal term depth : 5 ( 1 avg) % 0.57/0.82 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty) % 0.57/0.82 % Number of functors : 8 ( 8 usr; 3 con; 0-3 aty) % 0.57/0.82 % Number of variables : 14 ( 1 sgn) % 0.57/0.82 % SPC : CNF_UNS_RFO_SEQ_HRN % 0.57/0.82 % 0.57/0.82 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.57/0.82 % of which only a small selection are required for the refutation. % 0.57/0.82 % The mission is to find those few axioms, after which a refutation % 0.57/0.82 % can be quite easily found. This version has only the necessary % 0.57/0.82 % axioms. % 0.57/0.82 %------------------------------------------------------------------------------ % 0.57/0.82 cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom, % 0.57/0.82 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a) % 0.57/0.82 | ~ c_lessequals(c_0,V_y,T_a) % 0.57/0.82 | c_HOL_Oabs(V_y,T_a) = V_y ) ). % 0.57/0.82 % 0.57/0.82 cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom, % 0.57/0.82 ( ~ class_Orderings_Oorder(T_a) % 0.57/0.82 | ~ c_lessequals(V_y,V_z,T_a) % 0.57/0.82 | ~ c_lessequals(V_x,V_y,T_a) % 0.57/0.82 | c_lessequals(V_x,V_z,T_a) ) ). % 0.57/0.82 % 0.57/0.82 cnf(cls_Ring__and__Field_Oabs__mult_0,axiom, % 0.57/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.57/0.82 | c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) ) ). % 0.57/0.82 % 0.57/0.82 cnf(cls_conjecture_0,negated_conjecture, % 0.57/0.82 c_lessequals(c_0,v_f(V_U),t_b) ). % 0.57/0.82 % 0.57/0.82 cnf(cls_conjecture_1,negated_conjecture, % 0.57/0.82 c_lessequals(v_f(V_U),c_times(v_c,v_g(V_U),t_b),t_b) ). % 0.57/0.82 % 0.57/0.82 cnf(cls_conjecture_2,negated_conjecture, % 0.57/0.82 ~ c_lessequals(v_f(v_x(V_U)),c_times(V_U,c_HOL_Oabs(v_g(v_x(V_U)),t_b),t_b),t_b) ). % 0.57/0.82 % 0.57/0.82 cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_17,axiom, % 0.57/0.82 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T) % 0.57/0.82 | class_Orderings_Oorder(T) ) ). % 0.57/0.82 % 0.57/0.82 cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom, % 0.57/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T) % 0.57/0.82 | class_OrderedGroup_Olordered__ab__group__abs(T) ) ). % 0.57/0.82 % 0.57/0.82 cnf(tfree_tcs,negated_conjecture, % 0.57/0.82 class_Ring__and__Field_Oordered__idom(t_b) ). % 0.57/0.82 % 0.57/0.82 %------------------------------------------------------------------------------ % 0.57/0.82 %------------------------------------------- % 0.57/0.82 % Proof found % 0.57/0.82 % SZS status Theorem for theBenchmark % 0.57/0.82 % SZS output start Proof % 0.57/0.82 %ClaNum:26(EqnAxiom:17) % 0.57/0.82 %VarNum:36(SingletonVarNum:14) % 0.57/0.83 %MaxLitNum:4 % 0.57/0.83 %MaxfuncDepth:4 % 0.57/0.83 %SharedTerms:4 % 0.57/0.83 %goalClause: 18 19 20 21 % 0.57/0.83 %singleGoalClaCount:4 % 0.57/0.83 [18]P1(a1) % 0.57/0.83 [19]P2(a2,f5(x191),a1) % 0.57/0.83 [20]P2(f5(x201),f3(a6,f7(x201),a1),a1) % 0.57/0.83 [21]~P2(f5(f8(x211)),f3(x211,f4(f7(f8(x211)),a1),a1),a1) % 0.57/0.83 [22]~P1(x221)+P3(x221) % 0.57/0.83 [23]~P3(x231)+P4(x231) % 0.57/0.83 [25]~P1(x252)+E(f3(f4(x251,x252),f4(x253,x252),x252),f4(f3(x251,x253,x252),x252)) % 0.57/0.83 [24]~P3(x242)+~P2(a2,x241,x242)+E(f4(x241,x242),x241) % 0.57/0.83 [26]~P4(x263)+~P2(x264,x262,x263)+P2(x261,x262,x263)+~P2(x261,x264,x263) % 0.57/0.83 %EqnAxiom % 0.57/0.83 [1]E(x11,x11) % 0.57/0.83 [2]E(x22,x21)+~E(x21,x22) % 0.57/0.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.57/0.83 [4]~E(x41,x42)+E(f5(x41),f5(x42)) % 0.57/0.83 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53)) % 0.57/0.83 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62)) % 0.57/0.83 [7]~E(x71,x72)+E(f7(x71),f7(x72)) % 0.57/0.83 [8]~E(x81,x82)+E(f3(x81,x83,x84),f3(x82,x83,x84)) % 0.57/0.83 [9]~E(x91,x92)+E(f3(x93,x91,x94),f3(x93,x92,x94)) % 0.57/0.83 [10]~E(x101,x102)+E(f3(x103,x104,x101),f3(x103,x104,x102)) % 0.57/0.83 [11]~E(x111,x112)+E(f8(x111),f8(x112)) % 0.57/0.83 [12]~P1(x121)+P1(x122)+~E(x121,x122) % 0.57/0.83 [13]P2(x132,x133,x134)+~E(x131,x132)+~P2(x131,x133,x134) % 0.57/0.83 [14]P2(x143,x142,x144)+~E(x141,x142)+~P2(x143,x141,x144) % 0.57/0.83 [15]P2(x153,x154,x152)+~E(x151,x152)+~P2(x153,x154,x151) % 0.57/0.83 [16]~P4(x161)+P4(x162)+~E(x161,x162) % 0.57/0.83 [17]~P3(x171)+P3(x172)+~E(x171,x172) % 0.57/0.83 % 0.57/0.83 %------------------------------------------- % 0.57/0.83 cnf(36,plain, % 0.57/0.83 (~P4(a1)+P2(a2,f3(a6,f7(x361),a1),a1)), % 0.57/0.83 inference(scs_inference,[],[20,19,15,13,14,26])). % 0.57/0.83 cnf(47,plain, % 0.57/0.83 (P4(a1)), % 0.57/0.83 inference(scs_inference,[],[18,22,23])). % 0.57/0.83 cnf(48,plain, % 0.57/0.83 (P2(a2,f3(a6,f7(x481),a1),a1)), % 0.57/0.83 inference(scs_inference,[],[47,36])). % 0.57/0.83 cnf(49,plain, % 0.57/0.83 (E(f4(f3(x491,x492,a1),a1),f3(f4(x491,a1),f4(x492,a1),a1))), % 0.57/0.83 inference(scs_inference,[],[18,2,25])). % 0.57/0.83 cnf(50,plain, % 0.57/0.83 (E(f3(f4(x501,a1),f4(x502,a1),a1),f4(f3(x501,x502,a1),a1))), % 0.57/0.83 inference(scs_inference,[],[49,2])). % 0.57/0.83 cnf(136,plain, % 0.57/0.83 (E(f4(f3(a6,f7(x1361),a1),a1),f3(a6,f7(x1361),a1))), % 0.57/0.83 inference(scs_inference,[],[18,48,22,24])). % 0.57/0.83 cnf(138,plain, % 0.57/0.83 (E(f3(f4(a6,a1),f4(f7(x1381),a1),a1),f3(a6,f7(x1381),a1))), % 0.57/0.83 inference(scs_inference,[],[50,136,2,3])). % 0.57/0.83 cnf(151,plain, % 0.57/0.83 ($false), % 0.57/0.83 inference(scs_inference,[],[20,21,138,2,14]), % 0.57/0.83 ['proof']). % 0.57/0.83 % SZS output end Proof % 0.57/0.83 % Total time :0.210000s 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