TSTP Solution File: SET861-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n002.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 : Thu Aug 31 14:31:28 EDT 2023
% Result : Unsatisfiable 243.12s 243.05s
% Output : CNFRefutation 243.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 09:35:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 243.08/243.03 %-------------------------------------------
% 243.08/243.03 % File :CSE---1.6
% 243.08/243.03 % Problem :theBenchmark
% 243.08/243.03 % Transform :cnf
% 243.08/243.03 % Format :tptp:raw
% 243.08/243.03 % Command :java -jar mcs_scs.jar %d %s
% 243.08/243.03
% 243.08/243.03 % Result :Theorem 242.420000s
% 243.08/243.03 % Output :CNFRefutation 242.420000s
% 243.08/243.03 %-------------------------------------------
% 243.08/243.04 %------------------------------------------------------------------------------
% 243.08/243.04 % File : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 243.08/243.04 % Domain : Set Theory
% 243.08/243.04 % Problem : Problem about Zorn's lemma
% 243.08/243.04 % Version : [Pau06] axioms : Reduced > Especial.
% 243.08/243.04 % English :
% 243.08/243.04
% 243.08/243.04 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 243.08/243.04 % Source : [Pau06]
% 243.08/243.04 % Names :
% 243.08/243.04
% 243.08/243.04 % Status : Unsatisfiable
% 243.08/243.04 % Rating : 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
% 243.08/243.04 % Syntax : Number of clauses : 15 ( 2 unt; 3 nHn; 11 RR)
% 243.08/243.04 % Number of literals : 41 ( 2 equ; 24 neg)
% 243.08/243.04 % Maximal clause size : 5 ( 2 avg)
% 243.08/243.04 % Maximal term depth : 4 ( 1 avg)
% 243.08/243.04 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 243.08/243.04 % Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% 243.08/243.04 % Number of variables : 43 ( 0 sgn)
% 243.08/243.04 % SPC : CNF_UNS_RFO_SEQ_NHN
% 243.12/243.04
% 243.12/243.04 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 243.12/243.04 % of which only a small selection are required for the refutation.
% 243.12/243.04 % The mission is to find those few axioms, after which a refutation
% 243.12/243.04 % can be quite easily found. This version has only the necessary
% 243.12/243.04 % axioms.
% 243.12/243.04 %------------------------------------------------------------------------------
% 243.12/243.04 cnf(cls_Set_Osubset__antisym_0,axiom,
% 243.12/243.04 ( ~ c_lessequals(V_B,V_A,tc_set(T_a))
% 243.12/243.04 | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 243.12/243.04 | V_A = V_B ) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_Set_OsubsetD_0,axiom,
% 243.12/243.04 ( ~ c_in(V_c,V_A,T_a)
% 243.12/243.04 | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 243.12/243.04 | c_in(V_c,V_B,T_a) ) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_Set_OsubsetI_0,axiom,
% 243.12/243.04 ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
% 243.12/243.04 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_Set_OsubsetI_1,axiom,
% 243.12/243.04 ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
% 243.12/243.04 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_Zorn_Ochain__extend_0,axiom,
% 243.12/243.04 ( ~ c_in(V_z,V_S,tc_set(T_a))
% 243.12/243.04 | ~ c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))
% 243.12/243.04 | c_in(c_Zorn_Ochain__extend__1(V_c,V_z,T_a),V_c,tc_set(T_a))
% 243.12/243.04 | 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))) ) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_Zorn_Ochain__extend_1,axiom,
% 243.12/243.04 ( ~ c_in(V_z,V_S,tc_set(T_a))
% 243.12/243.04 | ~ c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a)))
% 243.12/243.04 | ~ c_lessequals(c_Zorn_Ochain__extend__1(V_c,V_z,T_a),V_z,tc_set(T_a))
% 243.12/243.04 | 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))) ) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_Zorn_OHausdorff_0,axiom,
% 243.12/243.04 c_in(c_Zorn_OHausdorff__1(V_S,T_a),c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_Zorn_Omaxchain__subset__chain_0,axiom,
% 243.12/243.04 c_lessequals(c_Zorn_Omaxchain(V_S,T_a),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(tc_set(T_a)))) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_Zorn_Omaxchain__super__lemma_0,axiom,
% 243.12/243.04 ( ~ c_in(V_z,V_x,T_a)
% 243.12/243.04 | ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))
% 243.12/243.04 | ~ 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)))
% 243.12/243.04 | c_in(V_z,V_y,T_a)
% 243.12/243.04 | c_in(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_c,tc_set(T_a)) ) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_Zorn_Omaxchain__super__lemma_1,axiom,
% 243.12/243.04 ( ~ c_in(V_z,V_x,T_a)
% 243.12/243.04 | ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))
% 243.12/243.04 | ~ 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)))
% 243.12/243.04 | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(V_c,V_y,T_a),V_y,tc_set(T_a))
% 243.12/243.04 | c_in(V_z,V_y,T_a) ) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_conjecture_0,negated_conjecture,
% 243.12/243.04 ( c_in(v_x(V_U),v_S,tc_set(t_a))
% 243.12/243.04 | ~ c_in(V_U,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ) ).
% 243.12/243.04
% 243.12/243.04 cnf(cls_conjecture_1,negated_conjecture,
% 243.12/243.04 ( c_in(v_xa(V_U),v_S,tc_set(t_a))
% 243.12/243.04 | ~ c_in(V_U,v_S,tc_set(t_a)) ) ).
% 243.12/243.05
% 243.12/243.05 cnf(cls_conjecture_2,negated_conjecture,
% 243.12/243.05 ( c_lessequals(V_U,v_xa(V_U),tc_set(t_a))
% 243.12/243.05 | ~ c_in(V_U,v_S,tc_set(t_a)) ) ).
% 243.12/243.05
% 243.12/243.05 cnf(cls_conjecture_3,negated_conjecture,
% 243.12/243.05 ( V_U != v_xa(V_U)
% 243.12/243.05 | ~ c_in(V_U,v_S,tc_set(t_a)) ) ).
% 243.12/243.05
% 243.12/243.05 cnf(cls_conjecture_4,negated_conjecture,
% 243.12/243.05 ( c_lessequals(V_V,v_x(V_U),tc_set(t_a))
% 243.12/243.05 | ~ c_in(V_V,V_U,tc_set(t_a))
% 243.12/243.05 | ~ c_in(V_U,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ) ).
% 243.12/243.05
% 243.12/243.05 %------------------------------------------------------------------------------
% 243.12/243.05 %-------------------------------------------
% 243.12/243.05 % Proof found
% 243.12/243.05 % SZS status Theorem for theBenchmark
% 243.12/243.05 % SZS output start Proof
% 243.12/243.05 %ClaNum:48(EqnAxiom:33)
% 243.12/243.05 %VarNum:140(SingletonVarNum:43)
% 243.12/243.05 %MaxLitNum:5
% 243.12/243.05 %MaxfuncDepth:3
% 243.12/243.05 %SharedTerms:6
% 243.12/243.05 %goalClause: 36 37 38 40 43
% 243.12/243.05 [34]P1(f1(x341,x342),f3(x341,x342),f6(f6(x342)))
% 243.12/243.05 [35]P2(f3(x351,x352),f4(x351,x352),f6(f6(f6(x352))))
% 243.12/243.05 [36]~E(f12(x361),x361)+~P1(x361,a13,f6(a7))
% 243.12/243.05 [37]~P1(x371,a13,f6(a7))+P1(f12(x371),a13,f6(a7))
% 243.12/243.05 [38]P2(x381,f12(x381),f6(a7))+~P1(x381,a13,f6(a7))
% 243.12/243.05 [40]P1(f14(x401),a13,f6(a7))+~P1(x401,f4(a13,a7),f6(f6(a7)))
% 243.12/243.05 [41]P1(f2(x411,x412,x413),x411,x413)+P2(x411,x412,f6(x413))
% 243.12/243.05 [44]~P1(f2(x441,x442,x443),x442,x443)+P2(x441,x442,f6(x443))
% 243.12/243.05 [43]~P1(x431,x432,f6(a7))+P2(x431,f14(x432),f6(a7))+~P1(x432,f4(a13,a7),f6(f6(a7)))
% 243.12/243.05 [39]E(x391,x392)+~P2(x392,x391,f6(x393))+~P2(x391,x392,f6(x393))
% 243.12/243.05 [42]P1(x421,x422,x423)+~P1(x421,x424,x423)+~P2(x424,x422,f6(x423))
% 243.12/243.05 [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)))
% 243.12/243.05 [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)))
% 243.12/243.05 [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)))
% 243.12/243.05 [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)))
% 243.12/243.05 %EqnAxiom
% 243.12/243.05 [1]E(x11,x11)
% 243.12/243.05 [2]E(x22,x21)+~E(x21,x22)
% 243.12/243.05 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 243.12/243.05 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 243.12/243.05 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 243.12/243.05 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 243.12/243.05 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 243.12/243.05 [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 243.12/243.05 [9]~E(x91,x92)+E(f11(x91,x93,x94),f11(x92,x93,x94))
% 243.12/243.05 [10]~E(x101,x102)+E(f11(x103,x101,x104),f11(x103,x102,x104))
% 243.12/243.05 [11]~E(x111,x112)+E(f11(x113,x114,x111),f11(x113,x114,x112))
% 243.12/243.05 [12]~E(x121,x122)+E(f10(x121,x123,x124),f10(x122,x123,x124))
% 243.12/243.05 [13]~E(x131,x132)+E(f10(x133,x131,x134),f10(x133,x132,x134))
% 243.12/243.05 [14]~E(x141,x142)+E(f10(x143,x144,x141),f10(x143,x144,x142))
% 243.12/243.05 [15]~E(x151,x152)+E(f4(x151,x153),f4(x152,x153))
% 243.12/243.05 [16]~E(x161,x162)+E(f4(x163,x161),f4(x163,x162))
% 243.12/243.05 [17]~E(x171,x172)+E(f5(x171,x173,x174),f5(x172,x173,x174))
% 243.12/243.05 [18]~E(x181,x182)+E(f5(x183,x181,x184),f5(x183,x182,x184))
% 243.12/243.05 [19]~E(x191,x192)+E(f5(x193,x194,x191),f5(x193,x194,x192))
% 243.12/243.05 [20]~E(x201,x202)+E(f9(x201,x203,x204),f9(x202,x203,x204))
% 243.12/243.05 [21]~E(x211,x212)+E(f9(x213,x211,x214),f9(x213,x212,x214))
% 243.12/243.05 [22]~E(x221,x222)+E(f9(x223,x224,x221),f9(x223,x224,x222))
% 243.12/243.05 [23]~E(x231,x232)+E(f2(x231,x233,x234),f2(x232,x233,x234))
% 243.12/243.05 [24]~E(x241,x242)+E(f2(x243,x241,x244),f2(x243,x242,x244))
% 243.12/243.05 [25]~E(x251,x252)+E(f2(x253,x254,x251),f2(x253,x254,x252))
% 243.12/243.05 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 243.12/243.05 [27]~E(x271,x272)+E(f14(x271),f14(x272))
% 243.12/243.05 [28]P1(x282,x283,x284)+~E(x281,x282)+~P1(x281,x283,x284)
% 243.12/243.05 [29]P1(x293,x292,x294)+~E(x291,x292)+~P1(x293,x291,x294)
% 243.12/243.05 [30]P1(x303,x304,x302)+~E(x301,x302)+~P1(x303,x304,x301)
% 243.12/243.05 [31]P2(x312,x313,x314)+~E(x311,x312)+~P2(x311,x313,x314)
% 243.12/243.05 [32]P2(x323,x322,x324)+~E(x321,x322)+~P2(x323,x321,x324)
% 243.12/243.05 [33]P2(x333,x334,x332)+~E(x331,x332)+~P2(x333,x334,x331)
% 243.12/243.05
% 243.12/243.05 %-------------------------------------------
% 243.13/243.05 cnf(49,plain,
% 243.13/243.05 (P1(f1(x491,x492),f4(x491,x492),f6(f6(x492)))),
% 243.13/243.05 inference(scs_inference,[],[34,35,42])).
% 243.13/243.05 cnf(64,plain,
% 243.13/243.05 (P2(x641,f14(f1(a13,a7)),f6(a7))+~P1(x641,f1(a13,a7),f6(a7))),
% 243.13/243.05 inference(scs_inference,[],[49,42,43])).
% 243.13/243.05 cnf(79,plain,
% 243.13/243.05 (P1(f14(f1(a13,a7)),a13,f6(a7))),
% 243.13/243.05 inference(scs_inference,[],[49,40])).
% 243.13/243.05 cnf(80,plain,
% 243.13/243.05 (P1(f1(x801,x802),f4(x801,x802),f6(f6(x802)))),
% 243.13/243.05 inference(rename_variables,[],[49])).
% 243.13/243.05 cnf(82,plain,
% 243.13/243.05 (P2(f14(f1(a13,a7)),f12(f14(f1(a13,a7))),f6(a7))),
% 243.13/243.05 inference(scs_inference,[],[49,40,38])).
% 243.13/243.05 cnf(84,plain,
% 243.13/243.05 (~E(f12(f14(f1(a13,a7))),f14(f1(a13,a7)))),
% 243.13/243.05 inference(scs_inference,[],[49,40,38,36])).
% 243.13/243.05 cnf(86,plain,
% 243.13/243.05 (~P2(f12(f14(f1(a13,a7))),f14(f1(a13,a7)),f6(a7))),
% 243.13/243.05 inference(scs_inference,[],[49,40,38,36,39])).
% 243.13/243.05 cnf(88,plain,
% 243.13/243.05 (~P1(f12(f14(f1(a13,a7))),f1(a13,a7),f6(a7))),
% 243.13/243.05 inference(scs_inference,[],[49,80,40,38,36,39,43])).
% 243.13/243.05 cnf(94,plain,
% 243.13/243.05 (~P2(f12(f14(f1(a13,a7))),x941,f6(a7))+~E(x941,f14(f1(a13,a7)))),
% 243.13/243.05 inference(scs_inference,[],[49,80,40,38,36,39,43,42,33,32])).
% 243.13/243.05 cnf(95,plain,
% 243.13/243.05 (~P1(x951,f1(a13,a7),f6(a7))+~E(x951,f12(f14(f1(a13,a7))))),
% 243.13/243.05 inference(scs_inference,[],[49,80,40,38,36,39,43,42,33,32,28])).
% 243.13/243.05 cnf(105,plain,
% 243.13/243.05 (P1(f12(f14(f1(a13,a7))),a13,f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[79,37])).
% 243.13/243.06 cnf(110,plain,
% 243.13/243.06 (~P2(a13,f1(a13,a7),f6(f6(a7)))),
% 243.13/243.06 inference(scs_inference,[],[79,88,84,37,29,2,3,42])).
% 243.13/243.06 cnf(133,plain,
% 243.13/243.06 (~P1(f2(a13,f1(a13,a7),f6(a7)),f1(a13,a7),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[110,44])).
% 243.13/243.06 cnf(135,plain,
% 243.13/243.06 (P1(f2(a13,f1(a13,a7),f6(a7)),a13,f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[110,44,41])).
% 243.13/243.06 cnf(155,plain,
% 243.13/243.06 (P2(f2(a13,f1(a13,a7),f6(a7)),f12(f2(a13,f1(a13,a7),f6(a7))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[135,38])).
% 243.13/243.06 cnf(159,plain,
% 243.13/243.06 (~P2(f12(f2(a13,f1(a13,a7),f6(a7))),f2(a13,f1(a13,a7),f6(a7)),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[135,38,36,39])).
% 243.13/243.06 cnf(161,plain,
% 243.13/243.06 (P1(x1611,f12(f14(f1(a13,a7))),a7)+~P1(x1611,f14(f1(a13,a7)),a7)),
% 243.13/243.06 inference(scs_inference,[],[82,135,38,36,39,42])).
% 243.13/243.06 cnf(163,plain,
% 243.13/243.06 (~P1(x1631,f1(a13,a7),f6(a7))+~E(x1631,f2(a13,f1(a13,a7),f6(a7)))),
% 243.13/243.06 inference(scs_inference,[],[82,133,135,38,36,39,42,28])).
% 243.13/243.06 cnf(173,plain,
% 243.13/243.06 (P1(f12(f2(a13,f1(a13,a7),f6(a7))),a13,f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[135,37])).
% 243.13/243.06 cnf(193,plain,
% 243.13/243.06 (P1(x1931,f12(f2(a13,f1(a13,a7),f6(a7))),a7)+~P1(x1931,f2(a13,f1(a13,a7),f6(a7)),a7)),
% 243.13/243.06 inference(scs_inference,[],[155,42])).
% 243.13/243.06 cnf(394,plain,
% 243.13/243.06 (~E(f12(f2(a13,f1(a13,a7),f6(a7))),f12(f12(f2(a13,f1(a13,a7),f6(a7)))))),
% 243.13/243.06 inference(scs_inference,[],[173,2,36])).
% 243.13/243.06 cnf(395,plain,
% 243.13/243.06 (~E(f12(f14(f1(a13,a7))),f12(f12(f14(f1(a13,a7)))))),
% 243.13/243.06 inference(scs_inference,[],[105,2,36])).
% 243.13/243.06 cnf(422,plain,
% 243.13/243.06 (~E(f12(f14(f1(a13,a7))),x4221)+~P1(x4221,f1(a13,a7),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[2,95])).
% 243.13/243.06 cnf(463,plain,
% 243.13/243.06 (~E(f2(a13,f1(a13,a7),f6(a7)),x4631)+~P1(x4631,f1(a13,a7),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[2,163])).
% 243.13/243.06 cnf(588,plain,
% 243.13/243.06 (E(f12(x5881),f12(x5882))+~E(x5882,x5881)),
% 243.13/243.06 inference(scs_inference,[],[2,26])).
% 243.13/243.06 cnf(1121,plain,
% 243.13/243.06 (P1(f12(f12(f14(f1(a13,a7)))),a13,f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[105,394,2,36,37])).
% 243.13/243.06 cnf(1123,plain,
% 243.13/243.06 (P2(f12(f14(f1(a13,a7))),f12(f12(f14(f1(a13,a7)))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[105,394,2,36,37,38])).
% 243.13/243.06 cnf(1128,plain,
% 243.13/243.06 (P1(f2(f12(f2(a13,f1(a13,a7),f6(a7))),f2(a13,f1(a13,a7),f6(a7)),a7),f12(f2(a13,f1(a13,a7),f6(a7))),a7)),
% 243.13/243.06 inference(scs_inference,[],[105,159,394,395,2,36,37,38,94,39,41])).
% 243.13/243.06 cnf(1130,plain,
% 243.13/243.06 (~P1(f2(f12(f2(a13,f1(a13,a7),f6(a7))),f2(a13,f1(a13,a7),f6(a7)),a7),f2(a13,f1(a13,a7),f6(a7)),a7)),
% 243.13/243.06 inference(scs_inference,[],[105,159,394,395,2,36,37,38,94,39,41,44])).
% 243.13/243.06 cnf(1145,plain,
% 243.13/243.06 (P1(f5(x11451,f1(x11452,x11453),f6(x11453)),x11451,f6(f6(x11453)))+~P1(x11451,f4(f4(x11452,x11453),f6(x11453)),f6(f6(f6(x11453))))+P1(f11(f10(f1(x11452,x11453),a8,f6(f6(x11453))),x11451,f6(f6(x11453))),f4(f4(x11452,x11453),f6(x11453)),f6(f6(f6(x11453))))),
% 243.13/243.06 inference(scs_inference,[],[49,45])).
% 243.13/243.06 cnf(1351,plain,
% 243.13/243.06 (P1(f12(f12(f2(a13,f1(a13,a7),f6(a7)))),a13,f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[173,37])).
% 243.13/243.06 cnf(1360,plain,
% 243.13/243.06 (~P1(f2(f12(f14(f1(a13,a7))),f14(f1(a13,a7)),a7),f14(f1(a13,a7)),a7)),
% 243.13/243.06 inference(scs_inference,[],[86,41,44])).
% 243.13/243.06 cnf(1362,plain,
% 243.13/243.06 (P2(f12(f2(a13,f1(a13,a7),f6(a7))),f12(f12(f2(a13,f1(a13,a7),f6(a7)))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[86,173,41,44,38])).
% 243.13/243.06 cnf(1367,plain,
% 243.13/243.06 (~P2(f12(f12(f2(a13,f1(a13,a7),f6(a7)))),f12(f2(a13,f1(a13,a7),f6(a7))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[86,394,173,49,41,44,38,1145,39])).
% 243.13/243.06 cnf(1369,plain,
% 243.13/243.06 (P1(f2(f12(f14(f1(a13,a7))),f14(f1(a13,a7)),a7),f12(f12(f14(f1(a13,a7)))),a7)),
% 243.13/243.06 inference(scs_inference,[],[1123,86,394,173,49,41,44,38,1145,39,42])).
% 243.13/243.06 cnf(1377,plain,
% 243.13/243.06 (~P2(f12(f12(f14(f1(a13,a7)))),f14(f1(a13,a7)),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1369,1360,42])).
% 243.13/243.06 cnf(1379,plain,
% 243.13/243.06 (~P1(f12(f12(f14(f1(a13,a7)))),f1(a13,a7),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1369,1360,42,64])).
% 243.13/243.06 cnf(1391,plain,
% 243.13/243.06 (P1(f2(f12(f2(a13,f1(a13,a7),f6(a7))),f2(a13,f1(a13,a7),f6(a7)),a7),f12(f12(f2(a13,f1(a13,a7),f6(a7)))),a7)),
% 243.13/243.06 inference(scs_inference,[],[1362,1128,42])).
% 243.13/243.06 cnf(1393,plain,
% 243.13/243.06 (~P1(x13931,f1(a13,a7),f6(a7))+~E(x13931,f12(f12(f14(f1(a13,a7)))))),
% 243.13/243.06 inference(scs_inference,[],[1379,1362,1128,42,28])).
% 243.13/243.06 cnf(1407,plain,
% 243.13/243.06 (~P2(x14071,f14(f1(a13,a7)),f6(a7))+~E(x14071,f12(f12(f14(f1(a13,a7)))))),
% 243.13/243.06 inference(scs_inference,[],[1351,1377,1391,1130,37,43,42,33,31])).
% 243.13/243.06 cnf(1431,plain,
% 243.13/243.06 (P1(f12(f12(f12(f14(f1(a13,a7))))),a13,f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1121,37])).
% 243.13/243.06 cnf(1438,plain,
% 243.13/243.06 (~P1(f2(f12(f12(f14(f1(a13,a7)))),f14(f1(a13,a7)),a7),f14(f1(a13,a7)),a7)),
% 243.13/243.06 inference(scs_inference,[],[1377,44])).
% 243.13/243.06 cnf(1464,plain,
% 243.13/243.06 (~P1(x14641,f14(f1(a13,a7)),a7)+~E(x14641,f2(f12(f12(f14(f1(a13,a7)))),f14(f1(a13,a7)),a7))),
% 243.13/243.06 inference(scs_inference,[],[1379,1438,30,28])).
% 243.13/243.06 cnf(1490,plain,
% 243.13/243.06 (P1(x14901,f12(f12(f14(f1(a13,a7)))),a7)+~E(f2(f12(f14(f1(a13,a7))),f14(f1(a13,a7)),a7),x14901)),
% 243.13/243.06 inference(scs_inference,[],[1369,1367,33,28])).
% 243.13/243.06 cnf(1502,plain,
% 243.13/243.06 (~P1(f2(f12(f12(f14(f1(a13,a7)))),f14(f1(a13,a7)),a7),x15021,a7)+~P2(x15021,f14(f1(a13,a7)),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1438,42])).
% 243.13/243.06 cnf(1556,plain,
% 243.13/243.06 (P2(f9(f1(a13,a7),f14(f1(a13,a7)),a7),f14(f1(a13,a7)),f6(a7))+~P1(f11(f10(f12(f12(f14(f1(a13,a7)))),a8,f6(a7)),f1(a13,a7),f6(a7)),f4(a13,a7),f6(f6(a7)))),
% 243.13/243.06 inference(scs_inference,[],[34,1369,1360,47,422,163,1393,463,95,64])).
% 243.13/243.06 cnf(1612,plain,
% 243.13/243.06 (~E(f12(f12(f12(f14(f1(a13,a7))))),x16121)+P1(f12(x16121),a13,f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1431,28,37])).
% 243.13/243.06 cnf(1616,plain,
% 243.13/243.06 (P1(f12(f12(f12(f12(f14(f1(a13,a7)))))),a13,f6(a7))),
% 243.13/243.06 inference(equality_inference,[],[1612])).
% 243.13/243.06 cnf(1632,plain,
% 243.13/243.06 (~P1(f11(f10(f12(f12(f14(f1(a13,a7)))),a8,f6(a7)),f1(a13,a7),f6(a7)),f4(a13,a7),f6(f6(a7)))),
% 243.13/243.06 inference(scs_inference,[],[34,1369,1360,48,1556])).
% 243.13/243.06 cnf(1636,plain,
% 243.13/243.06 (P1(f1(x16361,x16362),f4(x16361,x16362),f6(f6(x16362)))),
% 243.13/243.06 inference(rename_variables,[],[49])).
% 243.13/243.06 cnf(1637,plain,
% 243.13/243.06 (P1(f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7),f1(a13,a7),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1121,49,1636,1632,28,45])).
% 243.13/243.06 cnf(1640,plain,
% 243.13/243.06 (P2(f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7),f14(f1(a13,a7)),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1121,49,1636,1632,28,45,64])).
% 243.13/243.06 cnf(2145,plain,
% 243.13/243.06 (~P1(f2(f12(f12(f14(f1(a13,a7)))),f14(f1(a13,a7)),a7),f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7),a7)),
% 243.13/243.06 inference(scs_inference,[],[1637,1502,64])).
% 243.13/243.06 cnf(3467,plain,
% 243.13/243.06 (~E(f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7),f12(f12(f14(f1(a13,a7)))))),
% 243.13/243.06 inference(scs_inference,[],[1640,1407])).
% 243.13/243.06 cnf(3468,plain,
% 243.13/243.06 (~E(f12(f12(f12(f12(f12(f14(f1(a13,a7))))))),f12(f12(f12(f12(f14(f1(a13,a7)))))))),
% 243.13/243.06 inference(scs_inference,[],[1616,1640,1407,36])).
% 243.13/243.06 cnf(3470,plain,
% 243.13/243.06 (P1(f12(f12(f12(f12(f12(f14(f1(a13,a7))))))),a13,f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1616,1640,1407,36,37])).
% 243.13/243.06 cnf(3472,plain,
% 243.13/243.06 (~E(f12(f12(f12(f14(f1(a13,a7))))),f12(f12(f12(f12(f14(f1(a13,a7)))))))),
% 243.13/243.06 inference(scs_inference,[],[1616,1640,1407,36,37,588])).
% 243.13/243.06 cnf(3475,plain,
% 243.13/243.06 (P2(f12(f12(f12(f12(f14(f1(a13,a7)))))),f12(f12(f12(f12(f12(f14(f1(a13,a7))))))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1616,1367,1640,1407,36,37,588,44,38])).
% 243.13/243.06 cnf(3478,plain,
% 243.13/243.06 (~P2(f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7),f12(f12(f14(f1(a13,a7)))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[1616,1367,1128,1640,1121,1632,49,1407,36,37,588,44,38,28,46])).
% 243.13/243.06 cnf(3483,plain,
% 243.13/243.06 (P1(f2(f12(f12(f14(f1(a13,a7)))),f14(f1(a13,a7)),a7),f12(f12(f14(f1(a13,a7)))),a7)),
% 243.13/243.06 inference(scs_inference,[],[1616,1377,1367,1128,1640,1121,1632,49,1407,36,37,588,44,38,28,46,193,41])).
% 243.13/243.06 cnf(3500,plain,
% 243.13/243.06 (~P2(f12(f12(f14(f1(a13,a7)))),f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[3483,2145,42])).
% 243.13/243.06 cnf(3503,plain,
% 243.13/243.06 (~P2(f12(f12(f12(f12(f12(f14(f1(a13,a7))))))),f12(f12(f12(f12(f14(f1(a13,a7)))))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[3467,3468,3475,3483,2145,42,3,39])).
% 243.13/243.06 cnf(3514,plain,
% 243.13/243.06 (P1(x35141,f12(f12(f14(f1(a13,a7)))),a7)+~E(f2(f12(f12(f14(f1(a13,a7)))),f14(f1(a13,a7)),a7),x35141)),
% 243.13/243.06 inference(scs_inference,[],[3475,3483,3470,42,33,28])).
% 243.13/243.06 cnf(3515,plain,
% 243.13/243.06 (P2(x35151,f12(f12(f12(f12(f12(f14(f1(a13,a7))))))),f6(a7))+~E(f12(f12(f12(f12(f14(f1(a13,a7)))))),x35151)),
% 243.13/243.06 inference(scs_inference,[],[3475,3483,3470,42,33,28,31])).
% 243.13/243.06 cnf(3535,plain,
% 243.13/243.06 (P1(f12(f12(f12(f12(f12(f12(f14(f1(a13,a7)))))))),a13,f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[3470,37])).
% 243.13/243.06 cnf(3537,plain,
% 243.13/243.06 (~E(f12(f12(f12(f12(f12(f12(f14(f1(a13,a7)))))))),f12(f12(f12(f12(f12(f14(f1(a13,a7))))))))),
% 243.13/243.06 inference(scs_inference,[],[3470,37,36])).
% 243.13/243.06 cnf(3542,plain,
% 243.13/243.06 (~E(f12(f12(f12(f14(f1(a13,a7))))),f12(f12(f14(f1(a13,a7)))))),
% 243.13/243.06 inference(scs_inference,[],[3472,3503,3470,37,36,26,44,588])).
% 243.13/243.06 cnf(3545,plain,
% 243.13/243.06 (P2(f12(f12(f12(f12(f12(f14(f1(a13,a7))))))),f12(f12(f12(f12(f12(f12(f14(f1(a13,a7)))))))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[3472,3503,3470,37,36,26,44,588,41,38])).
% 243.13/243.06 cnf(3547,plain,
% 243.13/243.06 (~P2(f12(f12(f12(f12(f12(f12(f14(f1(a13,a7)))))))),f12(f12(f12(f12(f12(f14(f1(a13,a7))))))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[3472,3503,3470,37,36,26,44,588,41,38,39])).
% 243.13/243.06 cnf(3553,plain,
% 243.13/243.06 (~E(f12(f12(f12(f12(f12(f12(f14(f1(a13,a7)))))))),f12(f12(f12(f12(f14(f1(a13,a7)))))))),
% 243.13/243.06 inference(scs_inference,[],[3545,3547,3503,3515,32])).
% 243.13/243.06 cnf(3560,plain,
% 243.13/243.06 (~P2(f12(f12(f14(f1(a13,a7)))),x35601,f6(a7))+~E(x35601,f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7))),
% 243.13/243.06 inference(scs_inference,[],[3500,32])).
% 243.13/243.06 cnf(3582,plain,
% 243.13/243.06 (~P1(f2(f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7),f12(f12(f14(f1(a13,a7)))),a7),f12(f12(f14(f1(a13,a7)))),a7)),
% 243.13/243.06 inference(scs_inference,[],[3553,3478,3535,36,37,26,44])).
% 243.13/243.06 cnf(3587,plain,
% 243.13/243.06 (P2(f12(f12(f14(f1(a13,a7)))),f12(f12(f12(f14(f1(a13,a7))))),f6(a7))),
% 243.13/243.06 inference(scs_inference,[],[3553,3478,3535,1121,36,37,26,44,41,588,38])).
% 243.13/243.06 cnf(3593,plain,
% 243.13/243.06 (P1(f2(f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7),f12(f12(f14(f1(a13,a7)))),a7),f14(f1(a13,a7)),a7)),
% 243.13/243.06 inference(scs_inference,[],[3542,3553,3537,3478,3545,3535,1640,1121,36,37,26,44,41,588,38,2,39,31,42])).
% 243.13/243.06 cnf(3606,plain,
% 243.13/243.06 (P1(f2(f5(f1(a13,a7),f12(f12(f14(f1(a13,a7)))),a7),f12(f12(f14(f1(a13,a7)))),a7),f12(f14(f1(a13,a7))),a7)),
% 243.13/243.06 inference(scs_inference,[],[3582,3587,3593,3514,3560,1464,1490,161])).
% 243.13/243.06 cnf(3613,plain,
% 243.13/243.06 ($false),
% 243.13/243.06 inference(scs_inference,[],[3606,3582,1123,42]),
% 243.13/243.06 ['proof']).
% 243.13/243.06 % SZS output end Proof
% 243.13/243.06 % Total time :242.420000s
%------------------------------------------------------------------------------