%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LAT278-2 : 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 : n026.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 10:18:33 EDT 2024 % Result : Unsatisfiable 0.45s 0.59s % Output : CNFRefutation 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.10 % Problem : LAT278-2 : TPTP v8.2.0. Released v3.2.0. % 0.08/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.10/0.30 % Computer : n026.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % 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 : Fri Jun 21 22:58:53 EDT 2024 % 0.10/0.31 % CPUTime : % 0.45/0.56 start to proof:theBenchmark % 0.45/0.59 %------------------------------------------- % 0.45/0.59 % File :CSE---1.7 % 0.45/0.59 % Problem :theBenchmark % 0.45/0.59 % Transform :cnf % 0.45/0.59 % Format :tptp:raw % 0.45/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.45/0.59 % 0.45/0.59 % Result :Theorem 0.000000s % 0.45/0.59 % Output :CNFRefutation 0.000000s % 0.45/0.59 %------------------------------------------- % 0.45/0.59 %------------------------------------------------------------------------------ % 0.45/0.59 % File : LAT278-2 : TPTP v8.2.0. Released v3.2.0. % 0.45/0.59 % Domain : Analysis % 0.45/0.59 % Problem : Problem about Tarski's fixed point theorem % 0.45/0.59 % Version : [Pau06] axioms : Reduced > Especial. % 0.45/0.59 % English : % 0.45/0.59 % 0.45/0.59 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.45/0.59 % Source : [Pau06] % 0.45/0.59 % Names : % 0.45/0.59 % 0.45/0.59 % Status : Unsatisfiable % 0.45/0.59 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0 % 0.45/0.59 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR) % 0.45/0.59 % Number of literals : 6 ( 2 equ; 2 neg) % 0.45/0.59 % Maximal clause size : 2 ( 1 avg) % 0.45/0.59 % Maximal term depth : 2 ( 1 avg) % 0.45/0.59 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty) % 0.45/0.59 % Number of functors : 9 ( 9 usr; 6 con; 0-3 aty) % 0.45/0.59 % Number of variables : 2 ( 0 sgn) % 0.45/0.59 % SPC : CNF_UNS_RFO_SEQ_HRN % 0.45/0.59 % 0.45/0.59 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.45/0.59 % of which only a small selection are required for the refutation. % 0.45/0.59 % The mission is to find those few axioms, after which a refutation % 0.45/0.59 % can be quite easily found. This version has only the necessary % 0.45/0.59 % axioms. % 0.45/0.59 %------------------------------------------------------------------------------ % 0.45/0.59 cnf(cls_conjecture_0,negated_conjecture, % 0.45/0.59 ~ c_Relation_Orefl(v_A,v_r,t_a) ). % 0.45/0.59 % 0.45/0.59 cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom, % 0.45/0.59 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ). % 0.45/0.59 % 0.45/0.59 cnf(cls_Tarski_OPartialOrder__iff_0,axiom, % 0.45/0.59 ( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit)) % 0.45/0.59 | 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) ) ). % 0.45/0.59 % 0.45/0.59 cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom, % 0.45/0.59 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ). % 0.45/0.59 % 0.45/0.59 cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom, % 0.45/0.59 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ). % 0.45/0.59 % 0.45/0.59 %------------------------------------------------------------------------------ % 0.45/0.59 %------------------------------------------- % 0.45/0.59 % Proof found % 0.45/0.59 % SZS status Theorem for theBenchmark % 0.45/0.59 % SZS output start Proof % 0.45/0.60 %ClaNum:22(EqnAxiom:17) % 0.45/0.60 %VarNum:7(SingletonVarNum:2) % 0.45/0.60 %MaxLitNum:2 % 0.45/0.60 %MaxfuncDepth:1 % 0.45/0.60 %SharedTerms:13 % 0.45/0.60 %goalClause: 21 % 0.45/0.60 %singleGoalClaCount:1 % 0.45/0.60 [21]~P2(a7,a9,a2) % 0.45/0.60 [18]E(f3(a1,a2,a6),a7) % 0.45/0.60 [19]E(f4(a1,a2,a6),a9) % 0.45/0.60 [20]P1(a1,a5,f8(a2,a6)) % 0.45/0.60 [22]P2(f3(x221,x222,a6),f4(x221,x222,a6),x222)+~P1(x221,a5,f8(x222,a6)) % 0.45/0.60 %EqnAxiom % 0.45/0.60 [1]E(x11,x11) % 0.45/0.60 [2]E(x22,x21)+~E(x21,x22) % 0.45/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.45/0.60 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44)) % 0.45/0.60 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54)) % 0.45/0.60 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62)) % 0.45/0.60 [7]~E(x71,x72)+E(f4(x71,x73,x74),f4(x72,x73,x74)) % 0.45/0.60 [8]~E(x81,x82)+E(f4(x83,x81,x84),f4(x83,x82,x84)) % 0.45/0.60 [9]~E(x91,x92)+E(f4(x93,x94,x91),f4(x93,x94,x92)) % 0.45/0.60 [10]~E(x101,x102)+E(f8(x101,x103),f8(x102,x103)) % 0.45/0.60 [11]~E(x111,x112)+E(f8(x113,x111),f8(x113,x112)) % 0.45/0.60 [12]P1(x122,x123,x124)+~E(x121,x122)+~P1(x121,x123,x124) % 0.45/0.60 [13]P1(x133,x132,x134)+~E(x131,x132)+~P1(x133,x131,x134) % 0.45/0.60 [14]P1(x143,x144,x142)+~E(x141,x142)+~P1(x143,x144,x141) % 0.45/0.60 [15]P2(x152,x153,x154)+~E(x151,x152)+~P2(x151,x153,x154) % 0.45/0.60 [16]P2(x163,x162,x164)+~E(x161,x162)+~P2(x163,x161,x164) % 0.45/0.60 [17]P2(x173,x174,x172)+~E(x171,x172)+~P2(x173,x174,x171) % 0.45/0.60 % 0.45/0.60 %------------------------------------------- % 0.45/0.60 cnf(26,plain, % 0.45/0.60 (P2(a7,f4(a1,a2,a6),a2)), % 0.45/0.60 inference(scs_inference,[],[18,20,22,2,15])). % 0.45/0.60 cnf(35,plain, % 0.45/0.60 ($false), % 0.45/0.60 inference(scs_inference,[],[21,26,19,2,16]), % 0.45/0.60 ['proof']). % 0.45/0.60 % SZS output end Proof % 0.45/0.60 % Total time :0.000000s %------------------------------------------------------------------------------