%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ANA021-2 : 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 : n020.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 04:13:55 EDT 2024 % Result : Unsatisfiable 0.54s 0.67s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : ANA021-2 : TPTP v8.2.0. Released v3.2.0. % 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n020.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 04:28:54 EDT 2024 % 0.13/0.34 % CPUTime : % 0.19/0.58 start to proof:theBenchmark % 0.54/0.66 %------------------------------------------- % 0.54/0.66 % File :CSE---1.7 % 0.54/0.66 % Problem :theBenchmark % 0.54/0.66 % Transform :cnf % 0.54/0.66 % Format :tptp:raw % 0.54/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.66 % 0.54/0.67 % Result :Theorem 0.050000s % 0.54/0.67 % Output :CNFRefutation 0.050000s % 0.54/0.67 %------------------------------------------- % 0.54/0.67 %------------------------------------------------------------------------------ % 0.54/0.67 % File : ANA021-2 : TPTP v8.2.0. Released v3.2.0. % 0.54/0.67 % Domain : Analysis % 0.54/0.67 % Problem : Problem about Big-O notation % 0.54/0.67 % Version : [Pau06] axioms : Reduced > Especial. % 0.54/0.67 % English : % 0.54/0.67 % 0.54/0.67 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.54/0.67 % Source : [Pau06] % 0.54/0.67 % Names : % 0.54/0.67 % 0.54/0.67 % Status : Unsatisfiable % 0.54/0.67 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.20 v5.3.0, 0.28 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.23 v4.0.1, 0.27 v3.7.0, 0.00 v3.5.0, 0.18 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0 % 0.54/0.67 % Syntax : Number of clauses : 5 ( 3 unt; 1 nHn; 3 RR) % 0.54/0.67 % Number of literals : 7 ( 3 equ; 3 neg) % 0.54/0.67 % Maximal clause size : 2 ( 1 avg) % 0.54/0.67 % Maximal term depth : 5 ( 2 avg) % 0.54/0.67 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty) % 0.54/0.67 % Number of functors : 12 ( 12 usr; 6 con; 0-3 aty) % 0.54/0.67 % Number of variables : 3 ( 0 sgn) % 0.54/0.67 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.54/0.67 % 0.54/0.67 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.54/0.67 % of which only a small selection are required for the refutation. % 0.54/0.67 % The mission is to find those few axioms, after which a refutation % 0.54/0.67 % can be quite easily found. This version has only the necessary % 0.54/0.67 % axioms. % 0.54/0.67 %------------------------------------------------------------------------------ % 0.54/0.67 cnf(cls_NatBin_OSuc__pred_H_0,axiom, % 0.54/0.67 ( ~ c_less(c_0,V_x,tc_nat) % 0.54/0.67 | V_x = c_Suc(c_minus(V_x,c_1,tc_nat)) ) ). % 0.54/0.67 % 0.54/0.67 cnf(cls_Nat_Onot__gr0_0,axiom, % 0.54/0.67 ( c_less(c_0,V_n,tc_nat) % 0.54/0.67 | V_n = c_0 ) ). % 0.54/0.67 % 0.54/0.67 cnf(cls_conjecture_2,negated_conjecture, % 0.54/0.67 c_lessequals(c_HOL_Oabs(v_f(c_Suc(V_U)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(V_U)),t_a),t_a),t_a) ). % 0.54/0.67 % 0.54/0.67 cnf(cls_conjecture_3,negated_conjecture, % 0.54/0.67 v_x != c_0 ). % 0.54/0.67 % 0.54/0.67 cnf(cls_conjecture_4,negated_conjecture, % 0.54/0.67 ~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ). % 0.54/0.67 % 0.54/0.67 %------------------------------------------------------------------------------ % 0.54/0.67 %------------------------------------------- % 0.54/0.67 % Proof found % 0.54/0.67 % SZS status Theorem for theBenchmark % 0.54/0.67 % SZS output start Proof % 0.54/0.67 %ClaNum:25(EqnAxiom:20) % 0.54/0.67 %VarNum:7(SingletonVarNum:3) % 0.54/0.67 %MaxLitNum:2 % 0.54/0.67 %MaxfuncDepth:4 % 0.54/0.67 %SharedTerms:13 % 0.54/0.67 %goalClause: 21 22 23 % 0.54/0.67 %singleGoalClaCount:3 % 0.54/0.67 [22]~E(a12,a3) % 0.54/0.67 [23]~P1(f2(f5(a12),a6),f7(a9,f2(f11(a12),a6),a6),a6) % 0.54/0.67 [21]P1(f2(f5(f1(x211)),a6),f7(a9,f2(f11(f1(x211)),a6),a6),a6) % 0.54/0.67 [24]E(x241,a3)+P2(a3,x241,a10) % 0.54/0.67 [25]~P2(a3,x251,a10)+E(f1(f8(x251,a4,a10)),x251) % 0.54/0.67 %EqnAxiom % 0.54/0.67 [1]E(x11,x11) % 0.54/0.67 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.67 [4]~E(x41,x42)+E(f1(x41),f1(x42)) % 0.54/0.67 [5]~E(x51,x52)+E(f5(x51),f5(x52)) % 0.54/0.67 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63)) % 0.54/0.67 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72)) % 0.54/0.67 [8]~E(x81,x82)+E(f8(x81,x83,x84),f8(x82,x83,x84)) % 0.54/0.67 [9]~E(x91,x92)+E(f8(x93,x91,x94),f8(x93,x92,x94)) % 0.54/0.67 [10]~E(x101,x102)+E(f8(x103,x104,x101),f8(x103,x104,x102)) % 0.54/0.67 [11]~E(x111,x112)+E(f11(x111),f11(x112)) % 0.54/0.67 [12]~E(x121,x122)+E(f7(x121,x123,x124),f7(x122,x123,x124)) % 0.54/0.67 [13]~E(x131,x132)+E(f7(x133,x131,x134),f7(x133,x132,x134)) % 0.54/0.67 [14]~E(x141,x142)+E(f7(x143,x144,x141),f7(x143,x144,x142)) % 0.54/0.67 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154) % 0.54/0.67 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164) % 0.54/0.67 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171) % 0.54/0.67 [18]P2(x182,x183,x184)+~E(x181,x182)+~P2(x181,x183,x184) % 0.54/0.67 [19]P2(x193,x192,x194)+~E(x191,x192)+~P2(x193,x191,x194) % 0.54/0.67 [20]P2(x203,x204,x202)+~E(x201,x202)+~P2(x203,x204,x201) % 0.54/0.67 % 0.54/0.67 %------------------------------------------- % 0.54/0.68 cnf(28,plain, % 0.54/0.68 (~E(f2(f11(f1(x281)),a6),f2(f11(a12),a6))+~E(f2(f5(f1(x281)),a6),f2(f5(a12),a6))), % 0.54/0.68 inference(scs_inference,[],[21,23,15,16,13])). % 0.54/0.68 cnf(37,plain, % 0.54/0.68 (E(f1(x371),f1(x372))+~E(x372,x371)), % 0.54/0.68 inference(scs_inference,[],[2,4])). % 0.54/0.68 cnf(43,plain, % 0.54/0.68 (E(f1(f8(a12,a4,a10)),a12)), % 0.54/0.68 inference(scs_inference,[],[22,25,24])). % 0.54/0.68 cnf(45,plain, % 0.54/0.68 (E(a12,f1(f8(a12,a4,a10)))), % 0.54/0.68 inference(scs_inference,[],[43,37,2])). % 0.54/0.68 cnf(60,plain, % 0.54/0.68 (~E(f2(f11(a12),a6),f2(f11(f1(x601)),a6))+~E(f2(f5(f1(x601)),a6),f2(f5(a12),a6))), % 0.54/0.68 inference(scs_inference,[],[28,2])). % 0.54/0.68 cnf(61,plain, % 0.54/0.68 (~E(f11(a12),f11(f1(x611)))+~E(f2(f5(f1(x611)),a6),f2(f5(a12),a6))), % 0.54/0.68 inference(scs_inference,[],[60,6])). % 0.54/0.68 cnf(62,plain, % 0.54/0.68 (~E(f2(f5(f1(f8(a12,a4,a10))),a6),f2(f5(a12),a6))), % 0.54/0.68 inference(scs_inference,[],[45,61,11])). % 0.54/0.68 cnf(64,plain, % 0.54/0.68 ($false), % 0.54/0.68 inference(scs_inference,[],[62,43,6,5]), % 0.54/0.68 ['proof']). % 0.54/0.68 % SZS output end Proof % 0.54/0.68 % Total time :0.050000s %------------------------------------------------------------------------------