%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LAT275-2 : 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 10:18:32 EDT 2024 % Result : Unsatisfiable 0.18s 0.57s % Output : CNFRefutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.12 % Problem : LAT275-2 : TPTP v8.2.0. Released v3.2.0. % 0.09/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n020.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Jun 21 23:42:09 EDT 2024 % 0.11/0.33 % CPUTime : % 0.18/0.54 start to proof:theBenchmark % 0.18/0.57 %------------------------------------------- % 0.18/0.57 % File :CSE---1.7 % 0.18/0.57 % Problem :theBenchmark % 0.18/0.57 % Transform :cnf % 0.18/0.57 % Format :tptp:raw % 0.18/0.57 % Command :java -jar mcs_scs.jar %d %s % 0.18/0.57 % 0.18/0.57 % Result :Theorem 0.000000s % 0.18/0.57 % Output :CNFRefutation 0.000000s % 0.18/0.57 %------------------------------------------- % 0.18/0.57 %------------------------------------------------------------------------------ % 0.18/0.57 % File : LAT275-2 : TPTP v8.2.0. Released v3.2.0. % 0.18/0.57 % Domain : Analysis % 0.18/0.57 % Problem : Problem about Tarski's fixed point theorem % 0.18/0.57 % Version : [Pau06] axioms : Reduced > Especial. % 0.18/0.57 % English : % 0.18/0.57 % 0.18/0.57 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.18/0.57 % Source : [Pau06] % 0.18/0.57 % Names : % 0.18/0.57 % 0.18/0.57 % Status : Unsatisfiable % 0.18/0.57 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v3.2.0 % 0.18/0.57 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR) % 0.18/0.57 % Number of literals : 5 ( 1 equ; 2 neg) % 0.18/0.57 % Maximal clause size : 2 ( 1 avg) % 0.18/0.57 % Maximal term depth : 2 ( 1 avg) % 0.18/0.57 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty) % 0.18/0.57 % Number of functors : 8 ( 8 usr; 5 con; 0-3 aty) % 0.18/0.57 % Number of variables : 1 ( 0 sgn) % 0.18/0.57 % SPC : CNF_UNS_RFO_SEQ_HRN % 0.18/0.57 % 0.18/0.57 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.18/0.57 % of which only a small selection are required for the refutation. % 0.18/0.57 % The mission is to find those few axioms, after which a refutation % 0.18/0.57 % can be quite easily found. This version has only the necessary % 0.18/0.57 % axioms. % 0.18/0.57 %------------------------------------------------------------------------------ % 0.18/0.57 cnf(cls_conjecture_0,negated_conjecture, % 0.18/0.57 c_lessequals(v_S,v_A,tc_set(t_a)) ). % 0.18/0.57 % 0.18/0.57 cnf(cls_conjecture_2,negated_conjecture, % 0.18/0.57 ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ). % 0.18/0.57 % 0.18/0.57 cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom, % 0.18/0.57 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ). % 0.18/0.57 % 0.18/0.57 cnf(cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0,axiom, % 0.18/0.57 ( ~ c_lessequals(V_S,v_A,tc_set(t_a)) % 0.18/0.57 | c_in(c_Tarski_Olub(V_S,v_cl,t_a),v_A,t_a) ) ). % 0.18/0.57 % 0.18/0.57 %------------------------------------------------------------------------------ % 0.18/0.57 %------------------------------------------- % 0.18/0.57 % Proof found % 0.18/0.57 % SZS status Theorem for theBenchmark % 0.18/0.57 % SZS output start Proof % 0.18/0.58 %ClaNum:20(EqnAxiom:16) % 0.18/0.58 %VarNum:2(SingletonVarNum:1) % 0.18/0.58 %MaxLitNum:2 % 0.18/0.58 %MaxfuncDepth:1 % 0.18/0.58 %SharedTerms:11 % 0.18/0.58 %goalClause: 18 19 % 0.18/0.58 %singleGoalClaCount:2 % 0.18/0.58 [17]E(f3(a1,a2,a5),a6) % 0.18/0.58 [18]P1(a8,a6,f7(a2)) % 0.18/0.58 [19]~P2(f4(a8,a1,a2),f3(a1,a2,a5),a2) % 0.18/0.58 [20]~P1(x201,a6,f7(a2))+P2(f4(x201,a1,a2),a6,a2) % 0.18/0.58 %EqnAxiom % 0.18/0.58 [1]E(x11,x11) % 0.18/0.58 [2]E(x22,x21)+~E(x21,x22) % 0.18/0.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.18/0.58 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44)) % 0.18/0.58 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54)) % 0.18/0.58 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62)) % 0.18/0.58 [7]~E(x71,x72)+E(f7(x71),f7(x72)) % 0.18/0.58 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84)) % 0.18/0.58 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94)) % 0.18/0.58 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102)) % 0.18/0.58 [11]P1(x112,x113,x114)+~E(x111,x112)+~P1(x111,x113,x114) % 0.18/0.58 [12]P1(x123,x122,x124)+~E(x121,x122)+~P1(x123,x121,x124) % 0.18/0.58 [13]P1(x133,x134,x132)+~E(x131,x132)+~P1(x133,x134,x131) % 0.18/0.58 [14]P2(x142,x143,x144)+~E(x141,x142)+~P2(x141,x143,x144) % 0.18/0.58 [15]P2(x153,x152,x154)+~E(x151,x152)+~P2(x153,x151,x154) % 0.18/0.58 [16]P2(x163,x164,x162)+~E(x161,x162)+~P2(x163,x164,x161) % 0.18/0.58 % 0.18/0.58 %------------------------------------------- % 0.18/0.58 cnf(21,plain, % 0.18/0.58 (E(a6,f3(a1,a2,a5))), % 0.18/0.58 inference(scs_inference,[],[17,2])). % 0.18/0.58 cnf(22,plain, % 0.18/0.58 (P1(a8,f3(a1,a2,a5),f7(a2))), % 0.18/0.58 inference(scs_inference,[],[18,17,2,12])). % 0.18/0.58 cnf(36,plain, % 0.18/0.58 (P2(f4(a8,a1,a2),a6,a2)), % 0.18/0.58 inference(scs_inference,[],[22,17,20,12])). % 0.18/0.58 cnf(37,plain, % 0.18/0.58 ($false), % 0.18/0.58 inference(scs_inference,[],[19,36,21,15]), % 0.18/0.58 ['proof']). % 0.18/0.58 % SZS output end Proof % 0.18/0.58 % Total time :0.000000s %------------------------------------------------------------------------------