%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ANA025-2 : 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 : n017.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 04:13:56 EDT 2024 % Result : Unsatisfiable 0.46s 0.59s % Output : CNFRefutation 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : ANA025-2 : TPTP v8.2.0. Released v3.2.0. % 0.06/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.10/0.31 % Computer : n017.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Sun Jun 23 04:51:08 EDT 2024 % 0.15/0.31 % CPUTime : % 0.17/0.51 start to proof:theBenchmark % 0.46/0.59 %------------------------------------------- % 0.46/0.59 % File :CSE---1.7 % 0.46/0.59 % Problem :theBenchmark % 0.46/0.59 % Transform :cnf % 0.46/0.59 % Format :tptp:raw % 0.46/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.46/0.59 % 0.46/0.59 % Result :Theorem 0.050000s % 0.46/0.59 % Output :CNFRefutation 0.050000s % 0.46/0.59 %------------------------------------------- % 0.46/0.59 %------------------------------------------------------------------------------ % 0.46/0.59 % File : ANA025-2 : TPTP v8.2.0. Released v3.2.0. % 0.46/0.59 % Domain : Analysis % 0.46/0.59 % Problem : Problem about Big-O notation % 0.46/0.59 % Version : [Pau06] axioms : Reduced > Especial. % 0.46/0.59 % English : % 0.46/0.59 % 0.46/0.59 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.46/0.59 % Source : [Pau06] % 0.46/0.59 % Names : % 0.46/0.59 % 0.46/0.59 % Status : Unsatisfiable % 0.46/0.59 % Rating : 0.00 v6.0.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.07 v4.1.0, 0.12 v4.0.1, 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0 % 0.46/0.59 % Syntax : Number of clauses : 12 ( 3 unt; 1 nHn; 10 RR) % 0.46/0.59 % Number of literals : 27 ( 0 equ; 16 neg) % 0.46/0.59 % Maximal clause size : 4 ( 2 avg) % 0.46/0.59 % Maximal term depth : 4 ( 1 avg) % 0.46/0.59 % Number of predicates : 7 ( 7 usr; 0 prp; 1-3 aty) % 0.46/0.59 % Number of functors : 9 ( 9 usr; 3 con; 0-3 aty) % 0.46/0.59 % Number of variables : 20 ( 1 sgn) % 0.46/0.59 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.46/0.59 % 0.46/0.59 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.46/0.59 % of which only a small selection are required for the refutation. % 0.46/0.59 % The mission is to find those few axioms, after which a refutation % 0.46/0.59 % can be quite easily found. This version has only the necessary % 0.46/0.59 % axioms. % 0.46/0.59 %------------------------------------------------------------------------------ % 0.46/0.59 cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom, % 0.46/0.59 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a) % 0.46/0.59 | c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ). % 0.46/0.59 % 0.46/0.59 cnf(cls_Orderings_Olinorder__not__le_0,axiom, % 0.46/0.59 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.59 | c_less(V_y,V_x,T_a) % 0.46/0.59 | c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.59 % 0.46/0.59 cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom, % 0.46/0.59 ( ~ class_Orderings_Olinorder(T_b) % 0.46/0.59 | ~ c_lessequals(V_y,V_z,T_b) % 0.46/0.59 | ~ c_lessequals(V_x,V_z,T_b) % 0.46/0.59 | c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b) ) ). % 0.46/0.59 % 0.46/0.59 cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom, % 0.46/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.59 | ~ c_lessequals(V_y,V_z,T_a) % 0.46/0.59 | ~ c_lessequals(V_x,V_y,T_a) % 0.46/0.59 | c_lessequals(V_x,V_z,T_a) ) ). % 0.46/0.59 % 0.46/0.59 cnf(cls_Orderings_Oorder__less__imp__le_0,axiom, % 0.46/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.59 | ~ c_less(V_x,V_y,T_a) % 0.46/0.59 | c_lessequals(V_x,V_y,T_a) ) ). % 0.46/0.59 % 0.46/0.59 cnf(cls_conjecture_2,negated_conjecture, % 0.46/0.59 ~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) ). % 0.46/0.59 % 0.46/0.59 cnf(cls_conjecture_3,negated_conjecture, % 0.46/0.59 ~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ). % 0.46/0.59 % 0.46/0.59 cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom, % 0.46/0.59 ( ~ class_LOrder_Ojoin__semilorder(T) % 0.46/0.59 | class_Orderings_Oorder(T) ) ). % 0.46/0.59 % 0.46/0.59 cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom, % 0.46/0.59 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T) % 0.46/0.59 | class_LOrder_Ojoin__semilorder(T) ) ). % 0.46/0.59 % 0.46/0.59 cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom, % 0.46/0.59 ( ~ class_Ring__and__Field_Oordered__idom(T) % 0.46/0.59 | class_Orderings_Olinorder(T) ) ). % 0.46/0.59 % 0.46/0.59 cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom, % 0.46/0.59 ( ~ class_Ring__and__Field_Oordered__idom(T) % 0.46/0.59 | class_OrderedGroup_Olordered__ab__group__abs(T) ) ). % 0.46/0.59 % 0.46/0.59 cnf(tfree_tcs,negated_conjecture, % 0.46/0.59 class_Ring__and__Field_Oordered__idom(t_b) ). % 0.46/0.59 % 0.46/0.59 %------------------------------------------------------------------------------ % 0.46/0.59 %------------------------------------------- % 0.46/0.59 % Proof found % 0.46/0.59 % SZS status Theorem for theBenchmark % 0.46/0.59 % SZS output start Proof % 0.46/0.59 %ClaNum:12(EqnAxiom:0) % 0.46/0.59 %VarNum:48(SingletonVarNum:20) % 0.46/0.59 %MaxLitNum:4 % 0.46/0.59 %MaxfuncDepth:3 % 0.46/0.59 %SharedTerms:13 % 0.46/0.59 %goalClause: 1 2 3 % 0.46/0.59 %singleGoalClaCount:3 % 0.46/0.59 [1]P1(a1) % 0.46/0.59 [2]~P2(a2,f3(f7(a6),f8(a6),a1),a1) % 0.46/0.59 [3]~P2(f4(f3(f7(a6),f8(a6),a1),a2,a1),f5(f3(f9(a6),f8(a6),a1),a1),a1) % 0.46/0.59 [4]~P1(x41)+P4(x41) % 0.46/0.59 [5]~P1(x51)+P6(x51) % 0.46/0.59 [6]~P5(x61)+P7(x61) % 0.46/0.59 [7]~P4(x71)+P5(x71) % 0.46/0.59 [8]~P4(x82)+P2(a2,f5(x81,x82),x82) % 0.46/0.59 [9]P3(x92,x91,x93)+~P6(x93)+P2(x91,x92,x93) % 0.46/0.59 [10]~P7(x103)+~P3(x101,x102,x103)+P2(x101,x102,x103) % 0.46/0.59 [11]~P7(x113)+~P2(x114,x112,x113)+P2(x111,x112,x113)+~P2(x111,x114,x113) % 0.46/0.59 [12]~P6(x123)+~P2(x121,x124,x123)+~P2(x122,x124,x123)+P2(f4(x121,x122,x123),x124,x123) % 0.46/0.59 %EqnAxiom % 0.46/0.59 % 0.46/0.59 %------------------------------------------- % 0.46/0.60 cnf(27,plain, % 0.46/0.60 (~P2(f3(f7(a6),f8(a6),a1),f5(f3(f9(a6),f8(a6),a1),a1),a1)+~P6(a1)+~P2(a2,f5(f3(f9(a6),f8(a6),a1),a1),a1)), % 0.46/0.60 inference(scs_inference,[],[3,12])). % 0.46/0.60 cnf(41,plain, % 0.46/0.60 (P5(a1)), % 0.46/0.60 inference(scs_inference,[],[1,4,7])). % 0.46/0.60 cnf(73,plain, % 0.46/0.60 (P2(a2,f5(x731,a1),a1)), % 0.46/0.60 inference(scs_inference,[],[1,8,4])). % 0.46/0.60 cnf(74,plain, % 0.46/0.60 (~P2(f3(f7(a6),f8(a6),a1),f5(f3(f9(a6),f8(a6),a1),a1),a1)+~P6(a1)), % 0.46/0.60 inference(scs_inference,[],[73,27])). % 0.46/0.60 cnf(75,plain, % 0.46/0.60 (~P7(a1)+~P2(f5(x751,a1),f3(f7(a6),f8(a6),a1),a1)), % 0.46/0.60 inference(scs_inference,[],[2,73,11])). % 0.46/0.60 cnf(81,plain, % 0.46/0.60 (~P7(a1)+~P3(f5(x811,a1),f3(f7(a6),f8(a6),a1),a1)), % 0.46/0.60 inference(scs_inference,[],[75,10])). % 0.46/0.60 cnf(82,plain, % 0.46/0.60 (~P6(a1)+P2(f3(f7(a6),f8(a6),a1),f5(x821,a1),a1)+~P7(a1)), % 0.46/0.60 inference(scs_inference,[],[81,9])). % 0.46/0.60 cnf(83,plain, % 0.46/0.60 (~P6(a1)+~P7(a1)), % 0.46/0.60 inference(scs_inference,[],[74,82])). % 0.46/0.60 cnf(84,plain, % 0.46/0.60 (~P7(a1)), % 0.46/0.60 inference(scs_inference,[],[1,83,5])). % 0.46/0.60 cnf(85,plain, % 0.46/0.60 ($false), % 0.46/0.60 inference(scs_inference,[],[84,41,6]), % 0.46/0.60 ['proof']). % 0.46/0.60 % SZS output end Proof % 0.46/0.60 % Total time :0.050000s %------------------------------------------------------------------------------