%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET861-2 : 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 14:22:49 EDT 2024 % Result : Unsatisfiable 261.77s 261.92s % Output : CNFRefutation 261.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SET861-2 : TPTP v8.2.0. Released v3.2.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n026.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 : Sun Jun 23 12:05:09 EDT 2024 % 0.11/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 261.77/261.91 %------------------------------------------- % 261.77/261.91 % File :CSE---1.7 % 261.77/261.91 % Problem :theBenchmark % 261.77/261.91 % Transform :cnf % 261.77/261.91 % Format :tptp:raw % 261.77/261.91 % Command :java -jar mcs_scs.jar %d %s % 261.77/261.91 % 261.77/261.91 % Result :Theorem 261.100000s % 261.77/261.91 % Output :CNFRefutation 261.100000s % 261.77/261.91 %------------------------------------------- % 261.77/261.92 %------------------------------------------------------------------------------ % 261.77/261.92 % File : SET861-2 : TPTP v8.2.0. Released v3.2.0. % 261.77/261.92 % Domain : Set Theory % 261.77/261.92 % Problem : Problem about Zorn's lemma % 261.77/261.92 % Version : [Pau06] axioms : Reduced > Especial. % 261.77/261.92 % English : % 261.77/261.92 % 261.77/261.92 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 261.77/261.92 % Source : [Pau06] % 261.77/261.92 % Names : % 261.77/261.92 % 261.77/261.92 % Status : Unsatisfiable % 261.77/261.92 % Rating : 0.50 v8.2.0, 0.43 v8.1.0, 0.42 v7.5.0, 0.47 v7.4.0, 0.53 v7.3.0, 0.50 v7.1.0, 0.42 v7.0.0, 0.53 v6.3.0, 0.45 v6.2.0, 0.60 v6.1.0, 0.79 v6.0.0, 0.70 v5.5.0, 0.80 v5.4.0, 0.85 v5.3.0, 0.89 v5.2.0, 0.81 v5.1.0, 0.82 v5.0.0, 0.79 v4.1.0, 0.77 v4.0.1, 0.73 v4.0.0, 0.82 v3.7.0, 0.70 v3.5.0, 0.73 v3.4.0, 0.75 v3.3.0, 0.71 v3.2.0 % 261.77/261.92 % Syntax : Number of clauses : 15 ( 2 unt; 3 nHn; 11 RR) % 261.77/261.92 % Number of literals : 41 ( 2 equ; 24 neg) % 261.77/261.92 % Maximal clause size : 5 ( 2 avg) % 261.77/261.92 % Maximal term depth : 4 ( 1 avg) % 261.77/261.92 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty) % 261.77/261.92 % Number of functors : 14 ( 14 usr; 3 con; 0-3 aty) % 261.77/261.92 % Number of variables : 43 ( 0 sgn) % 261.77/261.92 % SPC : CNF_UNS_RFO_SEQ_NHN % 261.77/261.92 % 261.77/261.92 % Comments : The problems in the [Pau06] collection each have very many axioms, % 261.77/261.92 % of which only a small selection are required for the refutation. % 261.77/261.92 % The mission is to find those few axioms, after which a refutation % 261.77/261.92 % can be quite easily found. This version has only the necessary % 261.77/261.92 % axioms. % 261.77/261.92 %------------------------------------------------------------------------------ % 261.77/261.92 cnf(cls_Set_Osubset__antisym_0,axiom, % 261.77/261.92 ( ~ c_lessequals(V_B,V_A,tc_set(T_a)) % 261.77/261.92 | ~ c_lessequals(V_A,V_B,tc_set(T_a)) % 261.77/261.92 | V_A = V_B ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_Set_OsubsetD_0,axiom, % 261.77/261.92 ( ~ c_in(V_c,V_A,T_a) % 261.77/261.92 | ~ c_lessequals(V_A,V_B,tc_set(T_a)) % 261.77/261.92 | c_in(V_c,V_B,T_a) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_Set_OsubsetI_0,axiom, % 261.77/261.92 ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) % 261.77/261.92 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_Set_OsubsetI_1,axiom, % 261.77/261.92 ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) % 261.77/261.92 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_Zorn_Ochain__extend_0,axiom, % 261.77/261.92 ( ~ c_in(V_z,V_S,tc_set(T_a)) % 261.77/261.92 | ~ c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) % 261.77/261.92 | c_in(c_Zorn_Ochain__extend__1(V_c,V_z,T_a),V_c,tc_set(T_a)) % 261.77/261.92 | c_in(c_union(c_insert(V_z,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_Zorn_Ochain__extend_1,axiom, % 261.77/261.92 ( ~ c_in(V_z,V_S,tc_set(T_a)) % 261.77/261.92 | ~ c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) % 261.77/261.92 | ~ c_lessequals(c_Zorn_Ochain__extend__1(V_c,V_z,T_a),V_z,tc_set(T_a)) % 261.77/261.92 | c_in(c_union(c_insert(V_z,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_Zorn_OHausdorff_0,axiom, % 261.77/261.92 c_in(c_Zorn_OHausdorff__1(V_S,T_a),c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_Zorn_Omaxchain__subset__chain_0,axiom, % 261.77/261.92 c_lessequals(c_Zorn_Omaxchain(V_S,T_a),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(tc_set(T_a)))) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_Zorn_Omaxchain__super__lemma_0,axiom, % 261.77/261.92 ( ~ c_in(V_z,V_x,T_a) % 261.77/261.92 | ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))) % 261.77/261.92 | ~ c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) % 261.77/261.92 | c_in(V_z,V_y,T_a) % 261.77/261.92 | c_in(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_c,tc_set(T_a)) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_Zorn_Omaxchain__super__lemma_1,axiom, % 261.77/261.92 ( ~ c_in(V_z,V_x,T_a) % 261.77/261.92 | ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))) % 261.77/261.92 | ~ c_in(c_union(c_insert(V_x,c_emptyset,tc_set(T_a)),V_c,tc_set(T_a)),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) % 261.77/261.92 | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_y,tc_set(T_a)) % 261.77/261.92 | c_in(V_z,V_y,T_a) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_conjecture_0,negated_conjecture, % 261.77/261.92 ( c_in(v_x(V_U),v_S,tc_set(t_a)) % 261.77/261.92 | ~ c_in(V_U,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_conjecture_1,negated_conjecture, % 261.77/261.92 ( c_in(v_xa(V_U),v_S,tc_set(t_a)) % 261.77/261.92 | ~ c_in(V_U,v_S,tc_set(t_a)) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_conjecture_2,negated_conjecture, % 261.77/261.92 ( c_lessequals(V_U,v_xa(V_U),tc_set(t_a)) % 261.77/261.92 | ~ c_in(V_U,v_S,tc_set(t_a)) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_conjecture_3,negated_conjecture, % 261.77/261.92 ( V_U != v_xa(V_U) % 261.77/261.92 | ~ c_in(V_U,v_S,tc_set(t_a)) ) ). % 261.77/261.92 % 261.77/261.92 cnf(cls_conjecture_4,negated_conjecture, % 261.77/261.92 ( c_lessequals(V_V,v_x(V_U),tc_set(t_a)) % 261.77/261.92 | ~ c_in(V_V,V_U,tc_set(t_a)) % 261.77/261.92 | ~ c_in(V_U,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ) ). % 261.77/261.92 % 261.77/261.92 %------------------------------------------------------------------------------ % 261.77/261.92 %------------------------------------------- % 261.77/261.92 % Proof found % 261.77/261.92 % SZS status Theorem for theBenchmark % 261.77/261.92 % SZS output start Proof % 261.77/261.92 %ClaNum:48(EqnAxiom:33) % 261.77/261.92 %VarNum:140(SingletonVarNum:43) % 261.77/261.92 %MaxLitNum:5 % 261.77/261.92 %MaxfuncDepth:3 % 261.77/261.92 %SharedTerms:6 % 261.77/261.92 %goalClause: 36 37 38 40 43 % 261.77/261.92 [34]P1(f1(x341,x342),f3(x341,x342),f6(f6(x342))) % 261.77/261.92 [35]P2(f3(x351,x352),f4(x351,x352),f6(f6(f6(x352)))) % 261.77/261.92 [36]~E(f12(x361),x361)+~P1(x361,a13,f6(a7)) % 261.77/261.92 [37]~P1(x371,a13,f6(a7))+P1(f12(x371),a13,f6(a7)) % 261.77/261.92 [38]P2(x381,f12(x381),f6(a7))+~P1(x381,a13,f6(a7)) % 261.77/261.92 [40]P1(f14(x401),a13,f6(a7))+~P1(x401,f4(a13,a7),f6(f6(a7))) % 261.77/261.92 [41]P1(f2(x411,x412,x413),x411,x413)+P2(x411,x412,f6(x413)) % 261.77/261.92 [44]~P1(f2(x441,x442,x443),x442,x443)+P2(x441,x442,f6(x443)) % 261.77/261.92 [43]~P1(x431,x432,f6(a7))+P2(x431,f14(x432),f6(a7))+~P1(x432,f4(a13,a7),f6(f6(a7))) % 261.77/261.92 [39]E(x391,x392)+~P2(x392,x391,f6(x393))+~P2(x391,x392,f6(x393)) % 261.77/261.92 [42]P1(x421,x422,x423)+~P1(x421,x424,x423)+~P2(x424,x422,f6(x423)) % 261.77/261.92 [45]~P1(x452,x454,f6(x453))+P1(f5(x451,x452,x453),x451,f6(x453))+~P1(x451,f4(x454,x453),f6(f6(x453)))+P1(f11(f10(x452,a8,f6(x453)),x451,f6(x453)),f4(x454,x453),f6(f6(x453))) % 261.77/261.92 [46]~P2(f5(x463,x461,x462),x461,f6(x462))+~P1(x461,x464,f6(x462))+~P1(x463,f4(x464,x462),f6(f6(x462)))+P1(f11(f10(x461,a8,f6(x462)),x463,f6(x462)),f4(x464,x462),f6(f6(x462))) % 261.77/261.92 [47]P1(x471,x472,x473)+~P1(x471,x475,x473)+P1(f9(x474,x472,x473),x474,f6(x473))+~P1(x474,f3(x476,x473),f6(f6(x473)))+~P1(f11(f10(x475,a8,f6(x473)),x474,f6(x473)),f4(x476,x473),f6(f6(x473))) % 261.77/261.92 [48]P1(x481,x482,x483)+~P1(x481,x484,x483)+~P2(f9(x485,x482,x483),x482,f6(x483))+~P1(x485,f3(x486,x483),f6(f6(x483)))+~P1(f11(f10(x484,a8,f6(x483)),x485,f6(x483)),f4(x486,x483),f6(f6(x483))) % 261.77/261.92 %EqnAxiom % 261.77/261.92 [1]E(x11,x11) % 261.77/261.93 [2]E(x22,x21)+~E(x21,x22) % 261.77/261.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 261.77/261.93 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43)) % 261.77/261.93 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52)) % 261.77/261.93 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63)) % 261.77/261.93 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72)) % 261.77/261.93 [8]~E(x81,x82)+E(f6(x81),f6(x82)) % 261.77/261.93 [9]~E(x91,x92)+E(f11(x91,x93,x94),f11(x92,x93,x94)) % 261.77/261.93 [10]~E(x101,x102)+E(f11(x103,x101,x104),f11(x103,x102,x104)) % 261.77/261.93 [11]~E(x111,x112)+E(f11(x113,x114,x111),f11(x113,x114,x112)) % 261.77/261.93 [12]~E(x121,x122)+E(f10(x121,x123,x124),f10(x122,x123,x124)) % 261.77/261.93 [13]~E(x131,x132)+E(f10(x133,x131,x134),f10(x133,x132,x134)) % 261.77/261.93 [14]~E(x141,x142)+E(f10(x143,x144,x141),f10(x143,x144,x142)) % 261.77/261.93 [15]~E(x151,x152)+E(f4(x151,x153),f4(x152,x153)) % 261.77/261.93 [16]~E(x161,x162)+E(f4(x163,x161),f4(x163,x162)) % 261.77/261.93 [17]~E(x171,x172)+E(f5(x171,x173,x174),f5(x172,x173,x174)) % 261.77/261.93 [18]~E(x181,x182)+E(f5(x183,x181,x184),f5(x183,x182,x184)) % 261.77/261.93 [19]~E(x191,x192)+E(f5(x193,x194,x191),f5(x193,x194,x192)) % 261.77/261.93 [20]~E(x201,x202)+E(f9(x201,x203,x204),f9(x202,x203,x204)) % 261.77/261.93 [21]~E(x211,x212)+E(f9(x213,x211,x214),f9(x213,x212,x214)) % 261.77/261.93 [22]~E(x221,x222)+E(f9(x223,x224,x221),f9(x223,x224,x222)) % 261.77/261.93 [23]~E(x231,x232)+E(f2(x231,x233,x234),f2(x232,x233,x234)) % 261.77/261.93 [24]~E(x241,x242)+E(f2(x243,x241,x244),f2(x243,x242,x244)) % 261.77/261.93 [25]~E(x251,x252)+E(f2(x253,x254,x251),f2(x253,x254,x252)) % 261.77/261.93 [26]~E(x261,x262)+E(f12(x261),f12(x262)) % 261.77/261.93 [27]~E(x271,x272)+E(f14(x271),f14(x272)) % 261.77/261.93 [28]P1(x282,x283,x284)+~E(x281,x282)+~P1(x281,x283,x284) % 261.77/261.93 [29]P1(x293,x292,x294)+~E(x291,x292)+~P1(x293,x291,x294) % 261.77/261.93 [30]P1(x303,x304,x302)+~E(x301,x302)+~P1(x303,x304,x301) % 261.77/261.93 [31]P2(x312,x313,x314)+~E(x311,x312)+~P2(x311,x313,x314) % 261.77/261.93 [32]P2(x323,x322,x324)+~E(x321,x322)+~P2(x323,x321,x324) % 261.77/261.93 [33]P2(x333,x334,x332)+~E(x331,x332)+~P2(x333,x334,x331) % 261.77/261.93 % 261.77/261.93 %------------------------------------------- % 261.77/261.93 cnf(49,plain, % 261.77/261.93 (P1(f1(x491,x492),f4(x491,x492),f6(f6(x492)))), % 261.77/261.93 inference(scs_inference,[],[34,35,42])). % 261.77/261.93 cnf(50,plain, % 261.77/261.93 (P2(f3(x501,x502),f4(x501,x502),f6(f6(f6(x502))))), % 261.77/261.93 inference(rename_variables,[],[35])). % 261.77/261.93 cnf(52,plain, % 261.77/261.93 (P1(f14(f1(a13,a7)),a13,f6(a7))), % 261.77/261.93 inference(scs_inference,[],[34,35,42,40])). % 261.77/261.93 cnf(56,plain, % 261.77/261.93 (~E(f12(f14(f1(a13,a7))),f14(f1(a13,a7)))), % 261.77/261.93 inference(scs_inference,[],[34,35,50,42,40,39,36])). % 261.77/261.93 cnf(58,plain, % 261.77/261.93 (P2(f14(f1(a13,a7)),f12(f14(f1(a13,a7))),f6(a7))), % 261.77/261.93 inference(scs_inference,[],[34,35,50,42,40,39,36,38])). % 261.77/261.93 cnf(69,plain, % 261.77/261.93 (~P2(f12(f14(f1(a13,a7))),f14(f1(a13,a7)),f6(a7))), % 261.77/261.93 inference(scs_inference,[],[56,58,39])). % 261.77/261.93 cnf(71,plain, % 261.77/261.93 (~P1(f12(f14(f1(a13,a7))),f1(a13,a7),f6(a7))), % 261.77/261.93 inference(scs_inference,[],[56,58,49,39,43])). % 261.77/261.93 cnf(75,plain, % 261.77/261.93 (P1(x751,f12(f14(f1(a13,a7))),a7)+~P1(x751,f14(f1(a13,a7)),a7)), % 261.77/261.94 inference(scs_inference,[],[56,58,49,39,43,33,42])). % 261.77/261.94 cnf(143,plain, % 261.77/261.94 (P2(f12(f14(f1(a13,a7))),f12(f12(f14(f1(a13,a7)))),f6(a7))), % 261.77/261.94 inference(scs_inference,[],[52,37,38])). % 261.77/261.94 cnf(156,plain, % 261.77/261.94 (P1(x1561,f12(f14(f1(a13,a7))),a7)+~E(x1562,x1561)+~P1(x1562,f14(f1(a13,a7)),a7)), % 261.77/261.94 inference(scs_inference,[],[75,28])). % 261.77/261.94 cnf(480,plain, % 261.77/261.94 (P1(f12(f14(f1(a13,a7))),a13,f6(a7))), % 261.77/261.94 inference(scs_inference,[],[52,37])). % 261.77/261.94 cnf(482,plain, % 261.77/261.94 (~P2(a13,f1(a13,a7),f6(f6(a7)))), % 261.77/261.94 inference(scs_inference,[],[71,52,37,42])). % 261.77/261.94 cnf(499,plain, % 261.77/261.94 (~E(f12(f14(f1(a13,a7))),x4991)+~P2(x4991,f14(f1(a13,a7)),f6(a7))), % 261.77/261.94 inference(scs_inference,[],[69,31,2])). % 261.77/261.94 cnf(531,plain, % 261.77/261.94 (~P2(f12(f14(f1(a13,a7))),x5311,f6(a7))+~E(x5311,f14(f1(a13,a7)))), % 261.77/261.94 inference(scs_inference,[],[69,32])). % 261.77/261.94 cnf(601,plain, % 261.77/261.94 (~E(f12(f14(f1(a13,a7))),f12(f12(f14(f1(a13,a7)))))), % 261.77/261.94 inference(scs_inference,[],[480,2,36])). % 261.77/261.94 cnf(616,plain, % 261.77/261.94 (~E(f14(f1(a13,a7)),x6161)+~P2(f12(f14(f1(a13,a7))),x6161,f6(a7))), % 261.77/261.94 inference(scs_inference,[],[69,2,32])). % 261.77/261.94 cnf(1042,plain, % 261.77/261.94 (P1(f12(f12(f14(f1(a13,a7)))),a13,f6(a7))), % 261.77/261.94 inference(scs_inference,[],[480,143,531,616,37])). % 261.77/261.94 cnf(1045,plain, % 261.77/261.94 (~P2(f12(f12(f14(f1(a13,a7)))),f12(f14(f1(a13,a7))),f6(a7))), % 261.77/261.94 inference(scs_inference,[],[480,143,601,531,616,37,2,39])). % 261.77/261.94 cnf(1051,plain, % 261.77/261.94 (P1(f12(f12(f12(f14(f1(a13,a7))))),a13,f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1042,37])). % 261.77/261.94 cnf(1066,plain, % 261.77/261.94 (P1(f2(a13,f1(a13,a7),f6(a7)),a13,f6(a7))), % 261.77/261.94 inference(scs_inference,[],[482,44,41])). % 261.77/261.94 cnf(1082,plain, % 261.77/261.94 (~P1(f2(f12(f14(f1(a13,a7))),f14(f1(a13,a7)),a7),f14(f1(a13,a7)),a7)), % 261.77/261.94 inference(scs_inference,[],[69,44])). % 261.77/261.94 cnf(1084,plain, % 261.77/261.94 (P1(f2(f12(f14(f1(a13,a7))),f14(f1(a13,a7)),a7),f12(f14(f1(a13,a7))),a7)), % 261.77/261.94 inference(scs_inference,[],[69,44,41])). % 261.77/261.94 cnf(1086,plain, % 261.77/261.94 (P1(f2(f12(f14(f1(a13,a7))),f14(f1(a13,a7)),a7),f12(f12(f14(f1(a13,a7)))),a7)), % 261.77/261.94 inference(scs_inference,[],[69,143,44,41,42])). % 261.77/261.94 cnf(1356,plain, % 261.77/261.94 (P1(f12(f2(a13,f1(a13,a7),f6(a7))),a13,f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1066,37])). % 261.77/261.94 cnf(1406,plain, % 261.77/261.94 (P1(f12(f12(f2(a13,f1(a13,a7),f6(a7)))),a13,f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1356,37])). % 261.77/261.94 cnf(1421,plain, % 261.77/261.94 (P1(f5(f1(a13,a7),f12(f14(f1(a13,a7))),a7),f1(a13,a7),f6(a7))+P1(f11(f10(f12(f14(f1(a13,a7))),a8,f6(a7)),f1(a13,a7),f6(a7)),f4(a13,a7),f6(f6(a7)))), % 261.77/261.94 inference(scs_inference,[],[480,49,45])). % 261.77/261.94 cnf(1492,plain, % 261.77/261.94 (~P1(f2(f12(f12(f14(f1(a13,a7)))),f12(f14(f1(a13,a7))),a7),f12(f14(f1(a13,a7))),a7)), % 261.77/261.94 inference(scs_inference,[],[1045,41,44])). % 261.77/261.94 cnf(1494,plain, % 261.77/261.94 (~P2(f12(f12(f14(f1(a13,a7)))),f14(f1(a13,a7)),f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1086,1082,1045,41,44,42])). % 261.77/261.94 cnf(1496,plain, % 261.77/261.94 (~E(f2(f12(f14(f1(a13,a7))),f14(f1(a13,a7)),a7),f2(f12(f12(f14(f1(a13,a7)))),f12(f14(f1(a13,a7))),a7))), % 261.77/261.94 inference(scs_inference,[],[1086,1084,1082,1045,41,44,42,28])). % 261.77/261.94 cnf(1647,plain, % 261.77/261.94 (P1(f1(x16471,x16472),f3(x16471,x16472),f6(f6(x16472)))), % 261.77/261.94 inference(rename_variables,[],[34])). % 261.77/261.94 cnf(1661,plain, % 261.77/261.94 (~P1(f11(f10(f12(f14(f1(a13,a7))),a8,f6(a7)),f1(a13,a7),f6(a7)),f4(a13,a7),f6(f6(a7)))), % 261.77/261.94 inference(scs_inference,[],[1084,34,1647,49,1082,48,41,44,43,42,29,28,30,47])). % 261.77/261.94 cnf(1666,plain, % 261.77/261.94 (P1(f5(f1(a13,a7),f12(f14(f1(a13,a7))),a7),f1(a13,a7),f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1661,1421])). % 261.77/261.94 cnf(1779,plain, % 261.77/261.94 (~E(f12(f12(f12(f12(f14(f1(a13,a7)))))),f12(f12(f12(f14(f1(a13,a7))))))), % 261.77/261.94 inference(scs_inference,[],[1051,36])). % 261.77/261.94 cnf(1786,plain, % 261.77/261.94 (P2(f5(f1(a13,a7),f12(f14(f1(a13,a7))),a7),f14(f1(a13,a7)),f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1496,1051,1666,49,36,38,37,2,43])). % 261.77/261.94 cnf(1787,plain, % 261.77/261.94 (P1(f1(x17871,x17872),f4(x17871,x17872),f6(f6(x17872)))), % 261.77/261.94 inference(rename_variables,[],[49])). % 261.77/261.94 cnf(1793,plain, % 261.77/261.94 (~P2(f5(f1(a13,a7),f12(f14(f1(a13,a7))),a7),f12(f14(f1(a13,a7))),f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1496,1494,1492,1051,1661,480,1666,49,1787,36,38,37,2,43,31,499,156,46])). % 261.77/261.94 cnf(1816,plain, % 261.77/261.94 (P1(f12(f12(f12(f2(a13,f1(a13,a7),f6(a7))))),a13,f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1406,37])). % 261.77/261.94 cnf(1818,plain, % 261.77/261.94 (~E(f12(f12(f12(f14(f1(a13,a7))))),f12(f12(f12(f12(f14(f1(a13,a7)))))))), % 261.77/261.94 inference(scs_inference,[],[1779,1406,37,2])). % 261.77/261.94 cnf(1827,plain, % 261.77/261.94 (P1(f12(f12(f12(f12(f2(a13,f1(a13,a7),f6(a7)))))),a13,f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1816,37])). % 261.77/261.94 cnf(1838,plain, % 261.77/261.94 (~E(f12(f12(f12(f12(f12(f2(a13,f1(a13,a7),f6(a7))))))),f12(f12(f12(f12(f2(a13,f1(a13,a7),f6(a7)))))))), % 261.77/261.94 inference(scs_inference,[],[1827,1818,37,26,36])). % 261.77/261.94 cnf(1866,plain, % 261.77/261.94 (~E(f12(f12(f12(f12(f2(a13,f1(a13,a7),f6(a7)))))),f12(f12(f12(f2(a13,f1(a13,a7),f6(a7))))))), % 261.77/261.94 inference(scs_inference,[],[1838,26])). % 261.77/261.94 cnf(1907,plain, % 261.77/261.94 (~E(f12(f12(f2(a13,f1(a13,a7),f6(a7)))),f12(f2(a13,f1(a13,a7),f6(a7))))), % 261.77/261.94 inference(scs_inference,[],[1866,1356,26,36])). % 261.77/261.94 cnf(1920,plain, % 261.77/261.94 (~E(f12(f2(a13,f1(a13,a7),f6(a7))),f12(f12(f2(a13,f1(a13,a7),f6(a7)))))), % 261.77/261.94 inference(scs_inference,[],[1907,2])). % 261.77/261.94 cnf(1946,plain, % 261.77/261.94 (~P2(f12(f12(f2(a13,f1(a13,a7),f6(a7)))),f12(f2(a13,f1(a13,a7),f6(a7))),f6(a7))), % 261.77/261.94 inference(scs_inference,[],[1920,1356,38,39])). % 261.77/261.94 cnf(2762,plain, % 261.77/261.94 (P1(f2(f5(f1(a13,a7),f12(f14(f1(a13,a7))),a7),f12(f14(f1(a13,a7))),a7),f5(f1(a13,a7),f12(f14(f1(a13,a7))),a7),a7)), % 261.77/261.94 inference(scs_inference,[],[1793,41])). % 261.77/261.94 cnf(2766,plain, % 261.77/261.94 (~P1(f2(f5(f1(a13,a7),f12(f14(f1(a13,a7))),a7),f12(f14(f1(a13,a7))),a7),f14(f1(a13,a7)),a7)), % 261.77/261.94 inference(scs_inference,[],[1793,41,44,75])). % 261.77/261.94 cnf(2782,plain, % 261.77/261.94 ($false), % 261.77/261.94 inference(scs_inference,[],[1786,1946,2762,2766,41,44,42]), % 261.77/261.94 ['proof']). % 261.77/261.94 % SZS output end Proof % 261.77/261.94 % Total time :261.100000s %------------------------------------------------------------------------------