%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LAT259-2 : 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 : 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 10:18:26 EDT 2024 % Result : Unsatisfiable 0.11s 0.52s % Output : CNFRefutation 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.08 % Problem : LAT259-2 : TPTP v8.2.0. Released v3.2.0. % 0.04/0.08 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.07/0.27 % Computer : n032.cluster.edu % 0.07/0.27 % Model : x86_64 x86_64 % 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.27 % Memory : 8042.1875MB % 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.27 % CPULimit : 300 % 0.07/0.27 % WCLimit : 300 % 0.07/0.27 % DateTime : Sat Jun 22 00:35:08 EDT 2024 % 0.07/0.27 % CPUTime : % 0.11/0.49 start to proof:theBenchmark % 0.11/0.51 %------------------------------------------- % 0.11/0.51 % File :CSE---1.7 % 0.11/0.51 % Problem :theBenchmark % 0.11/0.51 % Transform :cnf % 0.11/0.51 % Format :tptp:raw % 0.11/0.51 % Command :java -jar mcs_scs.jar %d %s % 0.11/0.51 % 0.11/0.51 % Result :Theorem 0.000000s % 0.11/0.51 % Output :CNFRefutation 0.000000s % 0.11/0.51 %------------------------------------------- % 0.11/0.52 %------------------------------------------------------------------------------ % 0.11/0.52 % File : LAT259-2 : TPTP v8.2.0. Released v3.2.0. % 0.11/0.52 % Domain : Analysis % 0.11/0.52 % Problem : Problem about Tarski's fixed point theorem % 0.11/0.52 % Version : [Pau06] axioms : Reduced > Especial. % 0.11/0.52 % English : % 0.11/0.52 % 0.11/0.52 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.11/0.52 % Source : [Pau06] % 0.11/0.52 % Names : % 0.11/0.52 % 0.11/0.52 % Status : Unsatisfiable % 0.11/0.52 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v3.3.0, 0.14 v3.2.0 % 0.11/0.52 % Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR) % 0.11/0.52 % Number of literals : 11 ( 3 equ; 5 neg) % 0.11/0.52 % Maximal clause size : 4 ( 1 avg) % 0.11/0.52 % Maximal term depth : 2 ( 1 avg) % 0.11/0.52 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty) % 0.11/0.52 % Number of functors : 11 ( 11 usr; 7 con; 0-4 aty) % 0.11/0.52 % Number of variables : 6 ( 0 sgn) % 0.11/0.52 % SPC : CNF_UNS_RFO_SEQ_HRN % 0.11/0.52 % 0.11/0.52 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.11/0.52 % of which only a small selection are required for the refutation. % 0.11/0.52 % The mission is to find those few axioms, after which a refutation % 0.11/0.52 % can be quite easily found. This version has only the necessary % 0.11/0.52 % axioms. % 0.11/0.52 %------------------------------------------------------------------------------ % 0.11/0.52 cnf(cls_conjecture_0,negated_conjecture, % 0.11/0.52 c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ). % 0.11/0.52 % 0.11/0.52 cnf(cls_conjecture_1,negated_conjecture, % 0.11/0.52 c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)) ). % 0.11/0.52 % 0.11/0.52 cnf(cls_conjecture_2,negated_conjecture, % 0.11/0.52 v_a != v_b ). % 0.11/0.52 % 0.11/0.52 cnf(cls_Relation_Oantisym__def_0,axiom, % 0.11/0.52 ( ~ c_Relation_Oantisym(V_r,T_a) % 0.11/0.52 | ~ c_in(c_Pair(V_V,V_U,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.11/0.52 | ~ c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.11/0.52 | V_U = V_V ) ). % 0.11/0.52 % 0.11/0.52 cnf(cls_Tarski_OPartialOrder__iff_1,axiom, % 0.11/0.52 ( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit)) % 0.11/0.52 | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ) ). % 0.11/0.52 % 0.11/0.52 cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom, % 0.11/0.52 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ). % 0.11/0.52 % 0.11/0.52 cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom, % 0.11/0.52 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ). % 0.11/0.52 % 0.11/0.52 %------------------------------------------------------------------------------ % 0.11/0.52 %------------------------------------------- % 0.11/0.52 % Proof found % 0.11/0.52 % SZS status Theorem for theBenchmark % 0.11/0.52 % SZS output start Proof % 0.11/0.52 %ClaNum:26(EqnAxiom:19) % 0.11/0.52 %VarNum:23(SingletonVarNum:6) % 0.11/0.52 %MaxLitNum:4 % 0.11/0.52 %MaxfuncDepth:1 % 0.11/0.52 %SharedTerms:17 % 0.11/0.52 %goalClause: 22 23 24 % 0.11/0.52 %singleGoalClaCount:3 % 0.11/0.52 [24]~E(a10,a8) % 0.11/0.52 [20]E(f3(a1,a2,a6),a11) % 0.11/0.52 [21]P1(a1,a4,f7(a2,a6)) % 0.11/0.52 [22]P1(f5(a8,a10,a2,a2),a11,f9(a2,a2)) % 0.11/0.52 [23]P1(f5(a10,a8,a2,a2),a11,f9(a2,a2)) % 0.11/0.52 [25]P2(f3(x251,x252,a6),x252)+~P1(x251,a4,f7(x252,a6)) % 0.11/0.52 [26]E(x261,x262)+~P2(x263,x264)+~P1(f5(x262,x261,x264,x264),x263,f9(x264,x264))+~P1(f5(x261,x262,x264,x264),x263,f9(x264,x264)) % 0.11/0.52 %EqnAxiom % 0.11/0.52 [1]E(x11,x11) % 0.11/0.52 [2]E(x22,x21)+~E(x21,x22) % 0.11/0.52 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.11/0.52 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44)) % 0.11/0.52 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54)) % 0.11/0.52 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62)) % 0.11/0.52 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73)) % 0.11/0.52 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82)) % 0.11/0.52 [9]~E(x91,x92)+E(f5(x91,x93,x94,x95),f5(x92,x93,x94,x95)) % 0.11/0.52 [10]~E(x101,x102)+E(f5(x103,x101,x104,x105),f5(x103,x102,x104,x105)) % 0.11/0.52 [11]~E(x111,x112)+E(f5(x113,x114,x111,x115),f5(x113,x114,x112,x115)) % 0.11/0.52 [12]~E(x121,x122)+E(f5(x123,x124,x125,x121),f5(x123,x124,x125,x122)) % 0.11/0.52 [13]~E(x131,x132)+E(f9(x131,x133),f9(x132,x133)) % 0.11/0.52 [14]~E(x141,x142)+E(f9(x143,x141),f9(x143,x142)) % 0.11/0.52 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154) % 0.11/0.52 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164) % 0.11/0.52 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171) % 0.11/0.52 [18]P2(x182,x183)+~E(x181,x182)+~P2(x181,x183) % 0.11/0.52 [19]P2(x193,x192)+~E(x191,x192)+~P2(x193,x191) % 0.11/0.52 % 0.11/0.52 %------------------------------------------- % 0.11/0.52 cnf(32,plain, % 0.11/0.52 ($false), % 0.11/0.52 inference(scs_inference,[],[22,23,24,21,20,25,2,16,18,26]), % 0.11/0.52 ['proof']). % 0.11/0.52 % SZS output end Proof % 0.11/0.52 % Total time :0.000000s %------------------------------------------------------------------------------