TSTP Solution File: SET839-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 14:31:17 EDT 2023
% Result : Unsatisfiable 245.61s 245.77s
% Output : CNFRefutation 245.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n013.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 12:29:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 245.61/245.76 %-------------------------------------------
% 245.61/245.76 % File :CSE---1.6
% 245.61/245.76 % Problem :theBenchmark
% 245.61/245.76 % Transform :cnf
% 245.61/245.76 % Format :tptp:raw
% 245.61/245.76 % Command :java -jar mcs_scs.jar %d %s
% 245.61/245.76
% 245.61/245.76 % Result :Theorem 244.950000s
% 245.61/245.76 % Output :CNFRefutation 244.950000s
% 245.61/245.76 %-------------------------------------------
% 245.61/245.77 %------------------------------------------------------------------------------
% 245.61/245.77 % File : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% 245.61/245.77 % Domain : Set Theory
% 245.61/245.77 % Problem : Problem about set theory
% 245.61/245.77 % Version : [Pau06] axioms : Reduced > Especial.
% 245.61/245.77 % English :
% 245.61/245.77
% 245.61/245.77 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 245.61/245.77 % Source : [Pau06]
% 245.61/245.77 % Names :
% 245.61/245.77
% 245.61/245.77 % Status : Unsatisfiable
% 245.61/245.77 % Rating : 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.36 v6.0.0, 0.20 v5.5.0, 0.30 v5.4.0, 0.35 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.31 v4.0.1, 0.36 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.25 v3.3.0, 0.29 v3.2.0
% 245.61/245.77 % Syntax : Number of clauses : 6 ( 2 unt; 1 nHn; 4 RR)
% 245.61/245.77 % Number of literals : 12 ( 1 equ; 6 neg)
% 245.61/245.77 % Maximal clause size : 3 ( 2 avg)
% 245.61/245.77 % Maximal term depth : 3 ( 1 avg)
% 245.61/245.77 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 245.61/245.77 % Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% 245.61/245.77 % Number of variables : 15 ( 2 sgn)
% 245.61/245.77 % SPC : CNF_UNS_RFO_SEQ_NHN
% 245.61/245.77
% 245.61/245.77 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 245.61/245.77 % of which only a small selection are required for the refutation.
% 245.61/245.77 % The mission is to find those few axioms, after which a refutation
% 245.61/245.77 % can be quite easily found. This version has only the necessary
% 245.61/245.77 % axioms.
% 245.61/245.77 %------------------------------------------------------------------------------
% 245.61/245.77 cnf(cls_conjecture_0,negated_conjecture,
% 245.61/245.77 ~ c_lessequals(v_S,c_insert(V_U,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))) ).
% 245.61/245.77
% 245.61/245.77 cnf(cls_conjecture_1,negated_conjecture,
% 245.61/245.77 ( c_lessequals(V_U,V_V,tc_set(t_a))
% 245.61/245.77 | ~ c_in(V_V,v_S,tc_set(t_a))
% 245.61/245.77 | ~ c_in(V_U,v_S,tc_set(t_a)) ) ).
% 245.61/245.77
% 245.61/245.77 cnf(cls_Set_OinsertCI_1,axiom,
% 245.61/245.77 c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ).
% 245.61/245.77
% 245.61/245.77 cnf(cls_Set_OsubsetI_0,axiom,
% 245.61/245.77 ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
% 245.61/245.77 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 245.61/245.77
% 245.61/245.77 cnf(cls_Set_OsubsetI_1,axiom,
% 245.61/245.77 ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
% 245.61/245.77 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 245.61/245.77
% 245.61/245.77 cnf(cls_Set_Osubset__antisym_0,axiom,
% 245.61/245.77 ( ~ c_lessequals(V_B,V_A,tc_set(T_a))
% 245.61/245.77 | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 245.61/245.77 | V_A = V_B ) ).
% 245.61/245.77
% 245.61/245.77 %------------------------------------------------------------------------------
% 245.61/245.77 %-------------------------------------------
% 245.61/245.77 % Proof found
% 245.61/245.77 % SZS status Theorem for theBenchmark
% 245.61/245.77 % SZS output start Proof
% 245.61/245.77 %ClaNum:22(EqnAxiom:16)
% 245.61/245.77 %VarNum:34(SingletonVarNum:15)
% 245.61/245.77 %MaxLitNum:3
% 245.61/245.77 %MaxfuncDepth:2
% 245.61/245.77 %SharedTerms:5
% 245.61/245.77 %goalClause: 18 21
% 245.61/245.77 %singleGoalClaCount:1
% 245.61/245.77 [18]~P2(a4,f1(x181,a2,f6(a5)),f6(f6(a5)))
% 245.61/245.77 [17]P1(x171,f1(x171,x172,x173),x173)
% 245.61/245.77 [20]P1(f3(x201,x202,x203),x201,x203)+P2(x201,x202,f6(x203))
% 245.61/245.77 [22]~P1(f3(x221,x222,x223),x222,x223)+P2(x221,x222,f6(x223))
% 245.61/245.77 [21]P2(x211,x212,f6(a5))+~P1(x212,a4,f6(a5))+~P1(x211,a4,f6(a5))
% 245.61/245.77 [19]E(x191,x192)+~P2(x192,x191,f6(x193))+~P2(x191,x192,f6(x193))
% 245.61/245.77 %EqnAxiom
% 245.61/245.77 [1]E(x11,x11)
% 245.61/245.77 [2]E(x22,x21)+~E(x21,x22)
% 245.61/245.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 245.61/245.77 [4]~E(x41,x42)+E(f1(x41,x43,x44),f1(x42,x43,x44))
% 245.61/245.77 [5]~E(x51,x52)+E(f1(x53,x51,x54),f1(x53,x52,x54))
% 245.61/245.77 [6]~E(x61,x62)+E(f1(x63,x64,x61),f1(x63,x64,x62))
% 245.61/245.77 [7]~E(x71,x72)+E(f6(x71),f6(x72))
% 245.61/245.77 [8]~E(x81,x82)+E(f3(x81,x83,x84),f3(x82,x83,x84))
% 245.61/245.77 [9]~E(x91,x92)+E(f3(x93,x91,x94),f3(x93,x92,x94))
% 245.61/245.77 [10]~E(x101,x102)+E(f3(x103,x104,x101),f3(x103,x104,x102))
% 245.61/245.77 [11]P1(x112,x113,x114)+~E(x111,x112)+~P1(x111,x113,x114)
% 245.61/245.77 [12]P1(x123,x122,x124)+~E(x121,x122)+~P1(x123,x121,x124)
% 245.61/245.77 [13]P1(x133,x134,x132)+~E(x131,x132)+~P1(x133,x134,x131)
% 245.61/245.77 [14]P2(x142,x143,x144)+~E(x141,x142)+~P2(x141,x143,x144)
% 245.61/245.77 [15]P2(x153,x152,x154)+~E(x151,x152)+~P2(x153,x151,x154)
% 245.61/245.77 [16]P2(x163,x164,x162)+~E(x161,x162)+~P2(x163,x164,x161)
% 245.61/245.77
% 245.61/245.77 %-------------------------------------------
% 245.61/245.78 cnf(23,plain,
% 245.61/245.78 (~P1(f3(a4,f1(x231,a2,f6(a5)),f6(a5)),f1(x231,a2,f6(a5)),f6(a5))),
% 245.61/245.78 inference(scs_inference,[],[18,22])).
% 245.61/245.78 cnf(24,plain,
% 245.61/245.78 (P1(f3(a4,f1(x241,a2,f6(a5)),f6(a5)),a4,f6(a5))),
% 245.61/245.78 inference(scs_inference,[],[18,22,20])).
% 245.61/245.78 cnf(25,plain,
% 245.61/245.78 (~E(a4,f1(x251,a2,f6(a5)))),
% 245.61/245.78 inference(scs_inference,[],[18,22,20,12])).
% 245.61/245.78 cnf(26,plain,
% 245.61/245.78 (~E(x261,f3(a4,f1(x261,a2,f6(a5)),f6(a5)))),
% 245.61/245.78 inference(scs_inference,[],[18,17,22,20,12,11])).
% 245.61/245.78 cnf(29,plain,
% 245.61/245.78 (~P2(a4,f1(x291,a2,f6(a5)),x292)+~E(x292,f6(f6(a5)))),
% 245.61/245.78 inference(scs_inference,[],[18,17,22,20,12,11,2,16])).
% 245.61/245.78 cnf(38,plain,
% 245.61/245.78 (~P2(x381,f1(x382,a2,f6(a5)),f6(f6(a5)))+~E(x381,a4)),
% 245.61/245.78 inference(scs_inference,[],[18,14])).
% 245.61/245.78 cnf(47,plain,
% 245.61/245.78 (P1(f3(a4,f1(x471,a2,f6(a5)),f6(a5)),a4,x472)+~E(f6(a5),x472)),
% 245.61/245.78 inference(scs_inference,[],[24,13])).
% 245.61/245.78 cnf(52,plain,
% 245.61/245.78 (P1(f3(a4,f1(x521,a2,f6(a5)),x522),a4,x522)+~P2(f1(x521,a2,f6(a5)),a4,f6(x522))),
% 245.61/245.78 inference(scs_inference,[],[25,19,16,20])).
% 245.61/245.78 cnf(57,plain,
% 245.61/245.78 (~E(x571,x572)+E(f6(x572),f6(x571))),
% 245.61/245.78 inference(scs_inference,[],[7,2])).
% 245.61/245.78 cnf(59,plain,
% 245.61/245.78 (~E(f3(a4,f1(x591,a2,f6(a5)),f6(a5)),x591)),
% 245.61/245.78 inference(scs_inference,[],[26,2])).
% 245.61/245.78 cnf(60,plain,
% 245.61/245.78 (~E(x601,x602)+E(f1(f6(x601),x603,x604),f1(f6(x602),x603,x604))),
% 245.61/245.78 inference(scs_inference,[],[4,7])).
% 245.61/245.78 cnf(74,plain,
% 245.61/245.78 (~P2(f3(a4,f1(x741,a2,f6(a5)),f6(a5)),x741,f6(x742))+~P2(x741,f3(a4,f1(x741,a2,f6(a5)),f6(a5)),f6(x742))),
% 245.61/245.78 inference(scs_inference,[],[59,19])).
% 245.61/245.78 cnf(107,plain,
% 245.61/245.78 (P1(x1071,a4,f6(a5))+~E(f3(a4,f1(x1072,a2,f6(a5)),f6(a5)),x1071)),
% 245.61/245.78 inference(scs_inference,[],[24,11])).
% 245.61/245.78 cnf(108,plain,
% 245.61/245.78 (P1(x1081,a4,x1082)+~E(f3(a4,f1(x1083,a2,f6(a5)),f6(a5)),x1081)+~E(f6(a5),x1082)),
% 245.61/245.78 inference(scs_inference,[],[24,11,13])).
% 245.61/245.78 cnf(122,plain,
% 245.61/245.78 (~P1(f3(f1(x1221,a2,f6(a5)),a4,x1222),a4,x1222)+P1(f3(a4,f1(x1221,a2,f6(a5)),x1222),a4,x1222)),
% 245.61/245.78 inference(scs_inference,[],[52,22])).
% 245.61/245.78 cnf(130,plain,
% 245.61/245.78 (~P2(f3(a4,f1(x1301,a2,f6(a5)),f6(a5)),x1301,f6(x1302))+P1(f3(x1301,f3(a4,f1(x1301,a2,f6(a5)),f6(a5)),x1302),x1301,x1302)),
% 245.61/245.78 inference(scs_inference,[],[74,20])).
% 245.61/245.78 cnf(136,plain,
% 245.61/245.78 (~E(a4,x1361)+~E(f6(a5),x1362)+P1(f3(x1361,f1(x1363,a2,f6(a5)),f6(a5)),a4,x1362)),
% 245.61/245.78 inference(scs_inference,[],[108,8])).
% 245.61/245.78 cnf(139,plain,
% 245.61/245.78 (~E(a5,x1391)+P1(f3(x1392,f1(x1393,a2,f6(a5)),f6(a5)),a4,f6(x1391))+~E(a4,x1392)),
% 245.61/245.78 inference(scs_inference,[],[136,7])).
% 245.61/245.78 cnf(140,plain,
% 245.61/245.78 (~E(a4,x1401)+P2(f3(x1401,f1(x1402,a2,f6(a5)),f6(a5)),f3(x1401,f1(x1402,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.78 inference(scs_inference,[],[139,21])).
% 245.61/245.78 cnf(141,plain,
% 245.61/245.78 (P2(f3(a4,f1(x1411,a2,f6(a5)),f6(a5)),f3(a4,f1(x1411,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.78 inference(equality_inference,[],[140])).
% 245.61/245.78 cnf(151,plain,
% 245.61/245.78 (E(f1(f6(x1511),x1512,x1513),f1(f6(x1514),x1512,x1513))+~E(x1514,x1511)),
% 245.61/245.78 inference(scs_inference,[],[2,60])).
% 245.61/245.78 cnf(178,plain,
% 245.61/245.78 (~E(x1781,f6(a5))+~P2(a4,f1(x1782,a2,f6(a5)),f6(x1781))),
% 245.61/245.78 inference(scs_inference,[],[7,29])).
% 245.61/245.78 cnf(191,plain,
% 245.61/245.78 (~E(a5,x1911)+P1(f3(a4,f1(x1912,a2,f6(a5)),f6(a5)),a4,f6(x1911))),
% 245.61/245.78 inference(scs_inference,[],[24,7,13])).
% 245.61/245.78 cnf(257,plain,
% 245.61/245.78 (E(f6(x2571),f6(x2572))+~E(x2573,x2571)+~E(x2572,x2573)),
% 245.61/245.78 inference(scs_inference,[],[57,3])).
% 245.61/245.78 cnf(258,plain,
% 245.61/245.78 (~E(x2581,x2582)+E(f6(x2583),f6(x2582))+~E(x2581,x2583)),
% 245.61/245.78 inference(scs_inference,[],[257,2])).
% 245.61/245.78 cnf(259,plain,
% 245.61/245.78 (~E(x2591,x2592)+E(f6(x2593),f6(x2592))+~P2(x2593,x2591,f6(x2594))+~P2(x2591,x2593,f6(x2594))),
% 245.61/245.78 inference(scs_inference,[],[258,19])).
% 245.61/245.78 cnf(624,plain,
% 245.61/245.78 (~E(x6241,x6242)+E(f1(f3(x6243,x6244,x6241),x6245,x6246),f1(f3(x6243,x6244,x6242),x6245,x6246))),
% 245.61/245.78 inference(scs_inference,[],[4,10])).
% 245.61/245.78 cnf(757,plain,
% 245.61/245.78 (~E(x7571,x7572)+~P2(x7571,x7573,f6(x7574))+~P2(x7573,x7571,f6(x7574))+E(f1(f6(x7573),x7575,x7576),f1(f6(x7572),x7575,x7576))),
% 245.61/245.78 inference(scs_inference,[],[4,259])).
% 245.61/245.78 cnf(1208,plain,
% 245.61/245.78 (~E(x12081,x12082)+E(f1(f6(x12083),x12084,x12085),f1(f6(f3(x12082,x12086,x12087)),x12084,x12085))+~P2(x12083,f3(x12081,x12086,x12087),f6(x12088))+~P2(f3(x12081,x12086,x12087),x12083,f6(x12088))),
% 245.61/245.79 inference(scs_inference,[],[8,757])).
% 245.61/245.79 cnf(1266,plain,
% 245.61/245.79 (~P2(x12661,x12662,f6(x12663))+~P2(x12662,x12661,f6(x12663))+E(f3(x12662,x12664,x12665),f3(x12661,x12664,x12665))),
% 245.61/245.79 inference(scs_inference,[],[8,19])).
% 245.61/245.79 cnf(1282,plain,
% 245.61/245.79 (P1(x12821,f1(x12822,x12823,x12824),x12824)+~E(x12822,x12821)),
% 245.61/245.79 inference(scs_inference,[],[17,11])).
% 245.61/245.79 cnf(1301,plain,
% 245.61/245.79 (P1(x13011,x13012,x13013)+~E(f1(x13011,x13014,x13013),x13012)),
% 245.61/245.79 inference(scs_inference,[],[17,12])).
% 245.61/245.79 cnf(1441,plain,
% 245.61/245.79 (P1(x14411,f1(x14412,x14413,x14414),x14414)+~P2(x14412,x14411,f6(x14415))+~P2(x14411,x14412,f6(x14415))),
% 245.61/245.79 inference(scs_inference,[],[1282,19])).
% 245.61/245.79 cnf(1500,plain,
% 245.61/245.79 (~E(x15001,f1(x15002,x15003,x15004))+P1(x15002,x15001,x15004)),
% 245.61/245.79 inference(scs_inference,[],[1301,2])).
% 245.61/245.79 cnf(1502,plain,
% 245.61/245.79 (~E(f1(x15021,x15022,f6(a5)),a4)+P2(f3(a4,f1(x15023,a2,f6(a5)),f6(a5)),x15021,f6(a5))),
% 245.61/245.79 inference(scs_inference,[],[24,1301,21])).
% 245.61/245.79 cnf(1503,plain,
% 245.61/245.79 (~P2(x15031,f3(a4,f1(x15031,a2,f6(a5)),f6(a5)),f6(a5))+~E(f1(x15031,x15032,f6(a5)),a4)),
% 245.61/245.79 inference(scs_inference,[],[1502,74])).
% 245.61/245.79 cnf(1515,plain,
% 245.61/245.79 (P1(x15151,x15152,x15153)+~P2(f1(x15151,x15154,x15153),x15152,f6(x15155))+~P2(x15152,f1(x15151,x15154,x15153),f6(x15155))),
% 245.61/245.79 inference(scs_inference,[],[1301,19])).
% 245.61/245.79 cnf(1516,plain,
% 245.61/245.79 (~P2(f1(x15161,x15162,x15163),f3(a4,f1(x15164,a2,f6(a5)),f6(a5)),f6(a5))+P1(x15161,f3(a4,f1(x15164,a2,f6(a5)),f6(a5)),x15163)+~P1(f1(x15161,x15162,x15163),a4,f6(a5))),
% 245.61/245.79 inference(scs_inference,[],[24,1515,21])).
% 245.61/245.79 cnf(1517,plain,
% 245.61/245.79 (P1(x15171,f3(a4,f1(x15172,a2,f6(a5)),f6(a5)),x15173)+~P1(f1(x15171,x15174,x15173),a4,f6(a5))),
% 245.61/245.79 inference(scs_inference,[],[24,1516,21])).
% 245.61/245.79 cnf(1550,plain,
% 245.61/245.79 (~E(a4,f1(f1(x15501,x15502,x15503),x15504,f6(a5)))+P1(x15501,f3(a4,f1(x15505,a2,f6(a5)),f6(a5)),x15503)),
% 245.61/245.79 inference(scs_inference,[],[1500,1517])).
% 245.61/245.79 cnf(1551,plain,
% 245.61/245.79 (P1(x15511,f3(a4,f1(x15512,a2,f6(a5)),f6(a5)),x15513)+~E(x15514,x15511)+~E(a4,f1(f1(x15514,x15515,x15513),x15516,f6(a5)))),
% 245.61/245.79 inference(scs_inference,[],[1550,11])).
% 245.61/245.79 cnf(1623,plain,
% 245.61/245.79 (~E(x16231,x16232)+E(f3(x16233,f1(f6(x16232),x16234,x16235),x16236),f3(x16233,f1(f6(x16231),x16234,x16235),x16236))),
% 245.61/245.79 inference(scs_inference,[],[9,151])).
% 245.61/245.79 cnf(1663,plain,
% 245.61/245.79 (~E(x16631,x16632)+E(f3(x16633,f1(f3(x16634,x16635,x16631),x16636,x16637),x16638),f3(x16633,f1(f3(x16634,x16635,x16632),x16636,x16637),x16638))),
% 245.61/245.79 inference(scs_inference,[],[9,624])).
% 245.61/245.79 cnf(1973,plain,
% 245.61/245.79 (~E(a4,x19731)+E(f3(x19732,f1(f6(f3(a4,f1(x19733,a2,f6(a5)),f6(a5))),x19734,x19735),x19736),f3(x19732,f1(f6(f3(x19731,f1(x19733,a2,f6(a5)),f6(a5))),x19734,x19735),x19736))),
% 245.61/245.79 inference(scs_inference,[],[141,9,1208])).
% 245.61/245.79 cnf(2109,plain,
% 245.61/245.79 (P1(f3(f3(a4,f1(x21091,a2,f6(a5)),f6(a5)),x21091,x21092),f3(a4,f1(x21091,a2,f6(a5)),f6(a5)),x21092)+~P2(x21091,f3(a4,f1(x21091,a2,f6(a5)),f6(a5)),f6(x21092))),
% 245.61/245.79 inference(scs_inference,[],[59,20,19])).
% 245.61/245.79 cnf(2181,plain,
% 245.61/245.79 (~E(x21811,f3(x21812,f3(a4,f1(x21813,a2,f6(a5)),f6(a5)),x21814))+P2(x21812,f3(a4,f1(x21813,a2,f6(a5)),f6(a5)),f6(x21814))+~E(a4,f1(f1(x21811,x21815,x21814),x21816,f6(a5)))),
% 245.61/245.79 inference(scs_inference,[],[22,1551])).
% 245.61/245.79 cnf(2183,plain,
% 245.61/245.79 (P2(f3(a4,f1(x21831,a2,f6(a5)),f6(a5)),f3(a4,f1(x21832,a2,f6(a5)),f6(a5)),f6(x21833))+~E(a4,f1(f1(f3(f3(a4,f1(x21831,a2,f6(a5)),f6(a5)),f3(a4,f1(x21832,a2,f6(a5)),f6(a5)),x21833),x21834,x21833),x21835,f6(a5)))),
% 245.61/245.79 inference(scs_inference,[],[141,2181,1266])).
% 245.61/245.79 cnf(2185,plain,
% 245.61/245.79 (~E(f1(f1(f3(f3(a4,f1(x21851,a2,f6(a5)),f6(a5)),f3(a4,f1(x21852,a2,f6(a5)),f6(a5)),x21853),x21854,x21853),x21855,f6(a5)),a4)+P2(f3(a4,f1(x21851,a2,f6(a5)),f6(a5)),f3(a4,f1(x21852,a2,f6(a5)),f6(a5)),f6(x21853))),
% 245.61/245.79 inference(scs_inference,[],[2183,2])).
% 245.61/245.79 cnf(2708,plain,
% 245.61/245.79 (P1(f3(x27081,f1(x27082,a2,f6(a5)),f6(a5)),x27081,f6(a5))+~E(x27081,a4)),
% 245.61/245.79 inference(scs_inference,[],[38,20])).
% 245.61/245.79 cnf(2711,plain,
% 245.61/245.79 (~E(a4,x27111)+~P2(x27111,f1(x27112,a2,f6(a5)),f6(f6(a5)))),
% 245.61/245.79 inference(scs_inference,[],[38,2])).
% 245.61/245.79 cnf(2734,plain,
% 245.61/245.79 (~E(a5,x27341)+~P2(a4,f1(x27342,a2,f6(a5)),f6(f6(x27341)))),
% 245.61/245.79 inference(scs_inference,[],[178,57])).
% 245.61/245.79 cnf(2763,plain,
% 245.61/245.79 (P1(f3(x27631,f1(x27632,a2,f6(a5)),f6(a5)),x27631,f6(a5))+~E(a4,x27631)),
% 245.61/245.79 inference(scs_inference,[],[2711,20])).
% 245.61/245.79 cnf(2836,plain,
% 245.61/245.79 (P1(f3(a4,f1(x28361,a2,f6(a5)),f6(x28362)),a4,f6(x28362))+~E(a5,x28362)),
% 245.61/245.79 inference(scs_inference,[],[2734,20])).
% 245.61/245.79 cnf(3836,plain,
% 245.61/245.79 (~E(x38361,a5)+P1(f3(a4,f1(x38362,a2,f6(a5)),f6(a5)),a4,f6(x38361))),
% 245.61/245.79 inference(scs_inference,[],[47,57])).
% 245.61/245.79 cnf(3883,plain,
% 245.61/245.79 (~E(f3(a4,f1(x38831,a2,f6(a5)),f6(a5)),x38832)+P2(f3(a4,f1(x38833,a2,f6(a5)),f6(a5)),x38832,f6(a5))),
% 245.61/245.79 inference(scs_inference,[],[24,107,21])).
% 245.61/245.79 cnf(3884,plain,
% 245.61/245.79 (P2(f3(a4,f1(x38842,a2,f6(a5)),f6(a5)),f3(a4,f1(x38841,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.79 inference(equality_inference,[],[3883])).
% 245.61/245.79 cnf(3886,plain,
% 245.61/245.79 (P2(f3(a4,f1(x38861,a2,f6(a5)),f6(a5)),f3(a4,f1(x38862,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.79 inference(rename_variables,[],[3884])).
% 245.61/245.79 cnf(3889,plain,
% 245.61/245.79 (P2(f3(a4,f1(x38891,a2,f6(a5)),f6(a5)),f3(a4,f1(x38892,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.79 inference(rename_variables,[],[3884])).
% 245.61/245.79 cnf(3892,plain,
% 245.61/245.79 (P2(f3(a4,f1(x38921,a2,f6(a5)),f6(a5)),f3(a4,f1(x38922,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.79 inference(rename_variables,[],[3884])).
% 245.61/245.79 cnf(3895,plain,
% 245.61/245.79 (P2(f3(a4,f1(x38951,a2,f6(a5)),f6(a5)),f3(a4,f1(x38952,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.79 inference(rename_variables,[],[3884])).
% 245.61/245.79 cnf(3897,plain,
% 245.61/245.79 (P2(f3(a4,f1(x38971,a2,f6(a5)),f6(a5)),f3(a4,f1(x38972,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.79 inference(rename_variables,[],[3884])).
% 245.61/245.79 cnf(3899,plain,
% 245.61/245.79 (P2(f3(a4,f1(x38991,a2,f6(a5)),f6(a5)),f3(a4,f1(x38992,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.79 inference(rename_variables,[],[3884])).
% 245.61/245.79 cnf(3906,plain,
% 245.61/245.79 (P2(f3(a4,f1(x39061,a2,f6(a5)),f6(a5)),f3(a4,f1(x39062,a2,f6(a5)),f6(a5)),f6(a5))),
% 245.61/245.79 inference(rename_variables,[],[3884])).
% 245.61/245.79 cnf(3929,plain,
% 245.61/245.79 ($false),
% 245.61/245.79 inference(scs_inference,[],[3884,3886,3889,3892,3895,3897,3899,3906,18,24,23,1503,130,74,15,14,1441,21,16,1973,1663,1623,3836,2185,2708,2763,2836,2109,191,122,47,52,22,9,20]),
% 245.61/245.79 ['proof']).
% 245.61/245.79 % SZS output end Proof
% 245.61/245.79 % Total time :244.950000s
%------------------------------------------------------------------------------