%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LAT277-2 : 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 : n025.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 10:18:32 EDT 2024 % Result : Unsatisfiable 0.19s 0.62s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : LAT277-2 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n025.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Fri Jun 21 23:17:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 0.19/0.61 %------------------------------------------- % 0.19/0.61 % File :CSE---1.7 % 0.19/0.61 % Problem :theBenchmark % 0.19/0.61 % Transform :cnf % 0.19/0.61 % Format :tptp:raw % 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.19/0.61 % 0.19/0.61 % Result :Theorem 0.000000s % 0.19/0.61 % Output :CNFRefutation 0.000000s % 0.19/0.61 %------------------------------------------- % 0.19/0.61 %------------------------------------------------------------------------------ % 0.19/0.61 % File : LAT277-2 : TPTP v8.2.0. Released v3.2.0. % 0.19/0.61 % Domain : Analysis % 0.19/0.61 % Problem : Problem about Tarski's fixed point theorem % 0.19/0.61 % Version : [Pau06] axioms : Reduced > Especial. % 0.19/0.61 % English : % 0.19/0.62 % 0.19/0.62 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.19/0.62 % Source : [Pau06] % 0.19/0.62 % Names : % 0.19/0.62 % 0.19/0.62 % Status : Unsatisfiable % 0.19/0.62 % Rating : 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.29 v3.2.0 % 0.19/0.62 % Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR) % 0.19/0.62 % Number of literals : 10 ( 2 equ; 4 neg) % 0.19/0.62 % Maximal clause size : 3 ( 1 avg) % 0.19/0.62 % Maximal term depth : 2 ( 1 avg) % 0.19/0.62 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty) % 0.19/0.62 % Number of functors : 12 ( 12 usr; 7 con; 0-4 aty) % 0.19/0.62 % Number of variables : 6 ( 0 sgn) % 0.19/0.62 % SPC : CNF_UNS_RFO_SEQ_HRN % 0.19/0.62 % 0.19/0.62 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.19/0.62 % of which only a small selection are required for the refutation. % 0.19/0.62 % The mission is to find those few axioms, after which a refutation % 0.19/0.62 % can be quite easily found. This version has only the necessary % 0.19/0.62 % axioms. % 0.19/0.62 %------------------------------------------------------------------------------ % 0.19/0.62 cnf(cls_conjecture_0,negated_conjecture, % 0.19/0.62 c_in(v_x,v_A,t_a) ). % 0.19/0.62 % 0.19/0.62 cnf(cls_conjecture_1,negated_conjecture, % 0.19/0.62 ~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ). % 0.19/0.62 % 0.19/0.62 cnf(cls_Relation_OreflD_0,axiom, % 0.19/0.62 ( ~ c_Relation_Orefl(V_A,V_r,T_a) % 0.19/0.62 | ~ c_in(V_a,V_A,T_a) % 0.19/0.62 | c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.19/0.62 % 0.19/0.62 cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom, % 0.19/0.62 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ). % 0.19/0.62 % 0.19/0.62 cnf(cls_Tarski_OPartialOrder__iff_0,axiom, % 0.19/0.62 ( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit)) % 0.19/0.62 | c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ) ). % 0.19/0.62 % 0.19/0.62 cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom, % 0.19/0.62 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ). % 0.19/0.62 % 0.19/0.62 cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom, % 0.19/0.62 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ). % 0.19/0.62 % 0.19/0.62 %------------------------------------------------------------------------------ % 0.19/0.62 %------------------------------------------- % 0.19/0.62 % Proof found % 0.19/0.62 % SZS status Theorem for theBenchmark % 0.19/0.62 % SZS output start Proof % 0.19/0.62 %ClaNum:30(EqnAxiom:23) % 0.19/0.62 %VarNum:20(SingletonVarNum:6) % 0.19/0.62 %MaxLitNum:3 % 0.19/0.62 %MaxfuncDepth:1 % 0.19/0.62 %SharedTerms:17 % 0.19/0.62 %goalClause: 26 28 % 0.19/0.62 %singleGoalClaCount:2 % 0.19/0.62 [26]P1(a12,a8,a2) % 0.19/0.62 [24]E(f3(a1,a2,a7),a8) % 0.19/0.62 [25]E(f4(a1,a2,a7),a11) % 0.19/0.62 [27]P1(a1,a5,f9(a2,a7)) % 0.19/0.62 [28]~P1(f6(a12,a12,a2,a2),a11,f10(a2,a2)) % 0.19/0.62 [29]P2(f3(x291,x292,a7),f4(x291,x292,a7),x292)+~P1(x291,a5,f9(x292,a7)) % 0.19/0.62 [30]~P2(x304,x303,x302)+~P1(x301,x304,x302)+P1(f6(x301,x301,x302,x302),x303,f10(x302,x302)) % 0.19/0.62 %EqnAxiom % 0.19/0.62 [1]E(x11,x11) % 0.19/0.62 [2]E(x22,x21)+~E(x21,x22) % 0.19/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.19/0.62 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44)) % 0.19/0.62 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54)) % 0.19/0.62 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62)) % 0.19/0.62 [7]~E(x71,x72)+E(f4(x71,x73,x74),f4(x72,x73,x74)) % 0.19/0.62 [8]~E(x81,x82)+E(f4(x83,x81,x84),f4(x83,x82,x84)) % 0.19/0.62 [9]~E(x91,x92)+E(f4(x93,x94,x91),f4(x93,x94,x92)) % 0.19/0.62 [10]~E(x101,x102)+E(f9(x101,x103),f9(x102,x103)) % 0.19/0.62 [11]~E(x111,x112)+E(f9(x113,x111),f9(x113,x112)) % 0.19/0.62 [12]~E(x121,x122)+E(f6(x121,x123,x124,x125),f6(x122,x123,x124,x125)) % 0.19/0.62 [13]~E(x131,x132)+E(f6(x133,x131,x134,x135),f6(x133,x132,x134,x135)) % 0.19/0.62 [14]~E(x141,x142)+E(f6(x143,x144,x141,x145),f6(x143,x144,x142,x145)) % 0.19/0.62 [15]~E(x151,x152)+E(f6(x153,x154,x155,x151),f6(x153,x154,x155,x152)) % 0.19/0.62 [16]~E(x161,x162)+E(f10(x161,x163),f10(x162,x163)) % 0.19/0.62 [17]~E(x171,x172)+E(f10(x173,x171),f10(x173,x172)) % 0.19/0.62 [18]P1(x182,x183,x184)+~E(x181,x182)+~P1(x181,x183,x184) % 0.19/0.62 [19]P1(x193,x192,x194)+~E(x191,x192)+~P1(x193,x191,x194) % 0.19/0.62 [20]P1(x203,x204,x202)+~E(x201,x202)+~P1(x203,x204,x201) % 0.19/0.62 [21]P2(x212,x213,x214)+~E(x211,x212)+~P2(x211,x213,x214) % 0.19/0.62 [22]P2(x223,x222,x224)+~E(x221,x222)+~P2(x223,x221,x224) % 0.19/0.62 [23]P2(x233,x234,x232)+~E(x231,x232)+~P2(x233,x234,x231) % 0.19/0.62 % 0.19/0.62 %------------------------------------------- % 0.19/0.62 cnf(36,plain, % 0.19/0.62 (P1(a12,f3(a1,a2,a7),a2)), % 0.19/0.62 inference(scs_inference,[],[26,28,27,24,29,2,30,19])). % 0.19/0.62 cnf(38,plain, % 0.19/0.62 (P2(f3(a1,a2,a7),a11,a2)), % 0.19/0.62 inference(scs_inference,[],[26,28,27,24,25,29,2,30,19,21,22])). % 0.19/0.62 cnf(46,plain, % 0.19/0.62 ($false), % 0.19/0.62 inference(scs_inference,[],[28,38,36,25,2,30]), % 0.19/0.62 ['proof']). % 0.19/0.62 % SZS output end Proof % 0.19/0.62 % Total time :0.000000s %------------------------------------------------------------------------------