%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET821-2 : 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 14:22:34 EDT 2024 % Result : Unsatisfiable 9.77s 9.91s % Output : CNFRefutation 9.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : SET821-2 : TPTP v8.2.0. Released v3.2.0. % 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.35 % Computer : n020.cluster.edu % 0.12/0.35 % Model : x86_64 x86_64 % 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.35 % Memory : 8042.1875MB % 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.35 % CPULimit : 300 % 0.12/0.35 % WCLimit : 300 % 0.12/0.35 % DateTime : Sun Jun 23 16:46:09 EDT 2024 % 0.12/0.35 % CPUTime : % 0.48/0.58 start to proof:theBenchmark % 9.77/9.90 %------------------------------------------- % 9.77/9.90 % File :CSE---1.7 % 9.77/9.90 % Problem :theBenchmark % 9.77/9.90 % Transform :cnf % 9.77/9.90 % Format :tptp:raw % 9.77/9.90 % Command :java -jar mcs_scs.jar %d %s % 9.77/9.90 % 9.77/9.90 % Result :Theorem 9.280000s % 9.77/9.90 % Output :CNFRefutation 9.280000s % 9.77/9.90 %------------------------------------------- % 9.77/9.91 %------------------------------------------------------------------------------ % 9.77/9.91 % File : SET821-2 : TPTP v8.2.0. Released v3.2.0. % 9.77/9.91 % Domain : Set Theory % 9.77/9.91 % Problem : Problem about set theory % 9.77/9.91 % Version : [Pau06] axioms : Reduced > Especial. % 9.77/9.91 % English : % 9.77/9.91 % 9.77/9.91 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 9.77/9.91 % Source : [Pau06] % 9.77/9.91 % Names : % 9.77/9.91 % 9.77/9.91 % Status : Unsatisfiable % 9.77/9.91 % Rating : 0.15 v8.2.0, 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.25 v5.4.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.29 v4.1.0, 0.38 v4.0.1, 0.45 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.33 v3.3.0, 0.43 v3.2.0 % 9.77/9.91 % Syntax : Number of clauses : 10 ( 4 unt; 3 nHn; 7 RR) % 9.77/9.91 % Number of literals : 18 ( 1 equ; 7 neg) % 9.77/9.91 % Maximal clause size : 3 ( 1 avg) % 9.77/9.91 % Maximal term depth : 3 ( 1 avg) % 9.77/9.91 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty) % 9.77/9.91 % Number of functors : 7 ( 7 usr; 4 con; 0-3 aty) % 9.77/9.91 % Number of variables : 20 ( 2 sgn) % 9.77/9.91 % SPC : CNF_UNS_RFO_SEQ_NHN % 9.77/9.91 % 9.77/9.91 % Comments : The problems in the [Pau06] collection each have very many axioms, % 9.77/9.91 % of which only a small selection are required for the refutation. % 9.77/9.91 % The mission is to find those few axioms, after which a refutation % 9.77/9.91 % can be quite easily found. This version has only the necessary % 9.77/9.91 % axioms. % 9.77/9.91 %------------------------------------------------------------------------------ % 9.77/9.91 cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom, % 9.77/9.91 ( ~ class_Orderings_Oorder(T_a) % 9.77/9.91 | ~ c_less(V_x,V_x,T_a) ) ). % 9.77/9.91 % 9.77/9.91 cnf(cls_Set_OComplD__dest_0,axiom, % 9.77/9.91 ( ~ c_in(V_c,V_A,T_a) % 9.77/9.91 | ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ) ). % 9.77/9.91 % 9.77/9.91 cnf(cls_Set_OComplI_0,axiom, % 9.77/9.91 ( c_in(V_c,V_A,T_a) % 9.77/9.91 | c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ) ). % 9.77/9.91 % 9.77/9.91 cnf(cls_Set_OinsertCI_0,axiom, % 9.77/9.91 ( ~ c_in(V_a,V_B,T_a) % 9.77/9.91 | c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ). % 9.77/9.91 % 9.77/9.91 cnf(cls_Set_OinsertCI_1,axiom, % 9.77/9.91 c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ). % 9.77/9.91 % 9.77/9.91 cnf(cls_Set_OinsertE_0,axiom, % 9.77/9.91 ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) % 9.77/9.91 | c_in(V_a,V_A,T_a) % 9.77/9.91 | V_a = V_b ) ). % 9.77/9.91 % 9.77/9.91 cnf(cls_conjecture_0,negated_conjecture, % 9.77/9.91 c_less(v_a,v_b,tc_IntDef_Oint) ). % 9.77/9.91 % 9.77/9.91 cnf(cls_conjecture_1,negated_conjecture, % 9.77/9.91 c_less(v_b,v_c,tc_IntDef_Oint) ). % 9.77/9.91 % 9.77/9.91 cnf(cls_conjecture_2,negated_conjecture, % 9.77/9.91 ( c_in(v_c,V_U,tc_IntDef_Oint) % 9.77/9.91 | ~ c_in(v_b,V_U,tc_IntDef_Oint) % 9.77/9.91 | c_in(v_a,V_U,tc_IntDef_Oint) ) ). % 9.77/9.91 % 9.77/9.91 cnf(clsarity_IntDef__Oint_31,axiom, % 9.77/9.91 class_Orderings_Oorder(tc_IntDef_Oint) ). % 9.77/9.91 % 9.77/9.91 %------------------------------------------------------------------------------ % 9.77/9.91 %------------------------------------------- % 9.77/9.91 % Proof found % 9.77/9.91 % SZS status Theorem for theBenchmark % 9.77/9.91 % SZS output start Proof % 9.79/9.92 %ClaNum:26(EqnAxiom:16) % 9.79/9.92 %VarNum:44(SingletonVarNum:20) % 9.79/9.92 %MaxLitNum:3 % 9.79/9.92 %MaxfuncDepth:2 % 9.79/9.92 %SharedTerms:7 % 9.79/9.92 %goalClause: 18 19 23 % 9.79/9.92 %singleGoalClaCount:2 % 9.79/9.92 [17]P1(a1) % 9.79/9.92 [18]P2(a4,a6,a1) % 9.79/9.92 [19]P2(a6,a7,a1) % 9.79/9.92 [20]P3(x201,f2(x201,x202,x203),x203) % 9.79/9.92 [21]~P2(x212,x212,x211)+~P1(x211) % 9.79/9.92 [22]P3(x221,x222,x223)+P3(x221,f3(x222,f5(x223)),x223) % 9.79/9.92 [24]~P3(x241,x242,x243)+~P3(x241,f3(x242,f5(x243)),x243) % 9.79/9.92 [25]~P3(x251,x253,x254)+P3(x251,f2(x252,x253,x254),x254) % 9.79/9.92 [23]P3(a7,x231,a1)+~P3(a6,x231,a1)+P3(a4,x231,a1) % 9.79/9.92 [26]E(x261,x262)+P3(x261,x263,x264)+~P3(x261,f2(x262,x263,x264),x264) % 9.79/9.92 %EqnAxiom % 9.79/9.92 [1]E(x11,x11) % 9.79/9.92 [2]E(x22,x21)+~E(x21,x22) % 9.79/9.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 9.79/9.92 [4]~E(x41,x42)+E(f2(x41,x43,x44),f2(x42,x43,x44)) % 9.79/9.92 [5]~E(x51,x52)+E(f2(x53,x51,x54),f2(x53,x52,x54)) % 9.79/9.92 [6]~E(x61,x62)+E(f2(x63,x64,x61),f2(x63,x64,x62)) % 9.79/9.92 [7]~E(x71,x72)+E(f5(x71),f5(x72)) % 9.79/9.92 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83)) % 9.79/9.92 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92)) % 9.79/9.92 [10]~P1(x101)+P1(x102)+~E(x101,x102) % 9.79/9.92 [11]P2(x112,x113,x114)+~E(x111,x112)+~P2(x111,x113,x114) % 9.79/9.92 [12]P2(x123,x122,x124)+~E(x121,x122)+~P2(x123,x121,x124) % 9.79/9.92 [13]P2(x133,x134,x132)+~E(x131,x132)+~P2(x133,x134,x131) % 9.79/9.92 [14]P3(x142,x143,x144)+~E(x141,x142)+~P3(x141,x143,x144) % 9.79/9.92 [15]P3(x153,x152,x154)+~E(x151,x152)+~P3(x153,x151,x154) % 9.79/9.92 [16]P3(x163,x164,x162)+~E(x161,x162)+~P3(x163,x164,x161) % 9.79/9.92 % 9.79/9.92 %------------------------------------------- % 9.79/9.92 cnf(27,plain, % 9.79/9.92 (~P2(x271,x271,a1)), % 9.79/9.92 inference(scs_inference,[],[17,21])). % 9.79/9.92 cnf(39,plain, % 9.79/9.92 (~E(a6,a7)), % 9.79/9.92 inference(scs_inference,[],[19,27,11])). % 9.79/9.92 cnf(40,plain, % 9.79/9.92 (~P2(x401,x401,a1)), % 9.79/9.92 inference(rename_variables,[],[27])). % 9.79/9.92 cnf(41,plain, % 9.79/9.92 (~E(a6,a4)), % 9.79/9.92 inference(scs_inference,[],[18,19,27,40,11,12])). % 9.79/9.92 cnf(43,plain, % 9.79/9.92 (P3(x431,x432,x433)+~E(f2(x431,x434,x433),x432)), % 9.79/9.92 inference(scs_inference,[],[18,19,27,40,20,11,12,15])). % 9.79/9.92 cnf(64,plain, % 9.79/9.92 (P3(x641,f3(f3(f2(x641,x642,x643),f5(x643)),f5(x643)),x643)), % 9.79/9.92 inference(scs_inference,[],[20,22,24])). % 9.79/9.92 cnf(65,plain, % 9.79/9.92 (~P3(x651,f3(f2(x651,x652,x653),f5(x653)),x653)), % 9.79/9.92 inference(scs_inference,[],[64,24])). % 9.79/9.92 cnf(516,plain, % 9.79/9.92 (~P3(x5161,f3(f2(x5162,f2(x5161,x5163,x5164),x5164),f5(x5164)),x5164)), % 9.79/9.92 inference(scs_inference,[],[20,24,25])). % 9.79/9.92 cnf(520,plain, % 9.79/9.92 (~P3(a6,f3(f2(a7,f2(a4,x5201,a1),a1),f5(a1)),a1)), % 9.79/9.92 inference(scs_inference,[],[20,516,24,23])). % 9.79/9.92 cnf(524,plain, % 9.79/9.92 (P3(a6,f2(a4,x5241,a1),a1)), % 9.79/9.92 inference(scs_inference,[],[520,39,22,43,26])). % 9.79/9.92 cnf(533,plain, % 9.79/9.92 ($false), % 9.79/9.92 inference(scs_inference,[],[65,524,41,26]), % 9.79/9.92 ['proof']). % 9.79/9.92 % SZS output end Proof % 9.79/9.92 % Total time :9.280000s %------------------------------------------------------------------------------