TSTP Solution File: ANA027-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ANA027-2 : 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 : n012.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 : Wed Aug 30 17:13:22 EDT 2023
% Result : Unsatisfiable 4.12s 4.24s
% Output : CNFRefutation 4.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA027-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 18:46:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 4.12/4.23 %-------------------------------------------
% 4.12/4.23 % File :CSE---1.6
% 4.12/4.23 % Problem :theBenchmark
% 4.12/4.23 % Transform :cnf
% 4.12/4.23 % Format :tptp:raw
% 4.12/4.23 % Command :java -jar mcs_scs.jar %d %s
% 4.12/4.23
% 4.12/4.23 % Result :Theorem 3.620000s
% 4.12/4.23 % Output :CNFRefutation 3.620000s
% 4.12/4.23 %-------------------------------------------
% 4.12/4.23 %------------------------------------------------------------------------------
% 4.12/4.23 % File : ANA027-2 : TPTP v8.1.2. Released v3.2.0.
% 4.12/4.24 % Domain : Analysis
% 4.12/4.24 % Problem : Problem about Big-O notation
% 4.12/4.24 % Version : [Pau06] axioms : Reduced > Especial.
% 4.12/4.24 % English :
% 4.12/4.24
% 4.12/4.24 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 4.12/4.24 % Source : [Pau06]
% 4.12/4.24 % Names :
% 4.12/4.24
% 4.12/4.24 % Status : Unsatisfiable
% 4.12/4.24 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0
% 4.12/4.24 % Syntax : Number of clauses : 13 ( 4 unt; 0 nHn; 12 RR)
% 4.12/4.24 % Number of literals : 26 ( 1 equ; 14 neg)
% 4.12/4.24 % Maximal clause size : 4 ( 2 avg)
% 4.12/4.24 % Maximal term depth : 3 ( 1 avg)
% 4.12/4.24 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 4.12/4.24 % Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% 4.12/4.24 % Number of variables : 19 ( 0 sgn)
% 4.12/4.24 % SPC : CNF_UNS_RFO_SEQ_HRN
% 4.12/4.24
% 4.12/4.24 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 4.12/4.24 % of which only a small selection are required for the refutation.
% 4.12/4.24 % The mission is to find those few axioms, after which a refutation
% 4.12/4.24 % can be quite easily found. This version has only the necessary
% 4.12/4.24 % axioms.
% 4.12/4.24 %------------------------------------------------------------------------------
% 4.12/4.24 cnf(cls_conjecture_1,negated_conjecture,
% 4.12/4.24 c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b) ).
% 4.12/4.24
% 4.12/4.24 cnf(cls_conjecture_2,negated_conjecture,
% 4.12/4.24 c_lessequals(v_g(v_x),v_k(v_x),t_b) ).
% 4.12/4.24
% 4.12/4.24 cnf(cls_conjecture_3,negated_conjecture,
% 4.12/4.24 ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ).
% 4.12/4.24
% 4.12/4.24 cnf(tfree_tcs,negated_conjecture,
% 4.12/4.24 class_Ring__and__Field_Oordered__idom(t_b) ).
% 4.12/4.24
% 4.12/4.24 cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
% 4.12/4.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.12/4.24 | c_plus(c_0,V_y,T_a) = V_y ) ).
% 4.12/4.24
% 4.12/4.24 cnf(cls_OrderedGroup_Ocompare__rls__9_0,axiom,
% 4.12/4.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.12/4.24 | ~ c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a)
% 4.12/4.24 | c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a) ) ).
% 4.12/4.24
% 4.12/4.24 cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
% 4.12/4.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.12/4.24 | ~ c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)
% 4.12/4.24 | c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a) ) ).
% 4.12/4.24
% 4.12/4.24 cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
% 4.12/4.24 ( ~ class_Orderings_Oorder(T_a)
% 4.12/4.24 | ~ c_lessequals(V_y,V_z,T_a)
% 4.12/4.24 | ~ c_lessequals(V_x,V_y,T_a)
% 4.12/4.24 | c_lessequals(V_x,V_z,T_a) ) ).
% 4.12/4.24
% 4.12/4.24 cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
% 4.12/4.24 ( ~ class_LOrder_Ojoin__semilorder(T)
% 4.12/4.24 | class_Orderings_Oorder(T) ) ).
% 4.12/4.24
% 4.12/4.24 cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,
% 4.12/4.24 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)
% 4.12/4.24 | class_OrderedGroup_Opordered__ab__group__add(T) ) ).
% 4.12/4.24
% 4.12/4.24 cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,
% 4.12/4.24 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)
% 4.12/4.24 | class_LOrder_Ojoin__semilorder(T) ) ).
% 4.12/4.24
% 4.12/4.24 cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
% 4.12/4.24 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 4.12/4.24 | class_OrderedGroup_Ocomm__monoid__add(T) ) ).
% 4.12/4.24
% 4.12/4.24 cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
% 4.12/4.24 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 4.12/4.24 | class_OrderedGroup_Olordered__ab__group__abs(T) ) ).
% 4.12/4.24
% 4.12/4.24 %------------------------------------------------------------------------------
% 4.12/4.24 %-------------------------------------------
% 4.12/4.24 % Proof found
% 4.12/4.24 % SZS status Theorem for theBenchmark
% 4.12/4.24 % SZS output start Proof
% 4.12/4.24 %ClaNum:34(EqnAxiom:21)
% 4.12/4.24 %VarNum:46(SingletonVarNum:19)
% 4.12/4.24 %MaxLitNum:4
% 4.12/4.24 %MaxfuncDepth:2
% 4.12/4.24 %SharedTerms:12
% 4.12/4.24 %goalClause: 22 23 24 25
% 4.12/4.24 %singleGoalClaCount:4
% 4.12/4.24 [22]P1(a1)
% 4.12/4.24 [23]P2(f6(a5),f8(a5),a1)
% 4.12/4.24 [24]P2(a2,f3(f7(a5),f8(a5),a1),a1)
% 4.12/4.24 [25]~P2(a2,f3(f7(a5),f6(a5),a1),a1)
% 4.12/4.24 [26]~P1(x261)+P3(x261)
% 4.12/4.24 [27]~P6(x271)+P5(x271)
% 4.12/4.24 [28]~P4(x281)+P7(x281)
% 4.12/4.24 [29]~P6(x291)+P4(x291)
% 4.12/4.24 [30]~P1(x301)+P6(x301)
% 4.12/4.24 [31]~P3(x312)+E(f4(a2,x311,x312),x311)
% 4.12/4.24 [33]~P5(x334)+~P2(f4(x331,x333,x334),x332,x334)+P2(x331,f3(x332,x333,x334),x334)
% 4.12/4.24 [34]~P5(x343)+~P2(x341,f3(x344,x342,x343),x343)+P2(f4(x341,x342,x343),x344,x343)
% 4.12/4.24 [32]~P7(x323)+~P2(x324,x322,x323)+P2(x321,x322,x323)+~P2(x321,x324,x323)
% 4.12/4.24 %EqnAxiom
% 4.12/4.24 [1]E(x11,x11)
% 4.12/4.24 [2]E(x22,x21)+~E(x21,x22)
% 4.12/4.24 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.12/4.24 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 4.12/4.24 [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 4.12/4.24 [6]~E(x61,x62)+E(f7(x61),f7(x62))
% 4.12/4.24 [7]~E(x71,x72)+E(f4(x71,x73,x74),f4(x72,x73,x74))
% 4.12/4.24 [8]~E(x81,x82)+E(f4(x83,x81,x84),f4(x83,x82,x84))
% 4.12/4.24 [9]~E(x91,x92)+E(f4(x93,x94,x91),f4(x93,x94,x92))
% 4.12/4.24 [10]~E(x101,x102)+E(f3(x101,x103,x104),f3(x102,x103,x104))
% 4.12/4.24 [11]~E(x111,x112)+E(f3(x113,x111,x114),f3(x113,x112,x114))
% 4.12/4.24 [12]~E(x121,x122)+E(f3(x123,x124,x121),f3(x123,x124,x122))
% 4.12/4.24 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 4.12/4.24 [14]P2(x142,x143,x144)+~E(x141,x142)+~P2(x141,x143,x144)
% 4.12/4.24 [15]P2(x153,x152,x154)+~E(x151,x152)+~P2(x153,x151,x154)
% 4.12/4.24 [16]P2(x163,x164,x162)+~E(x161,x162)+~P2(x163,x164,x161)
% 4.12/4.24 [17]~P5(x171)+P5(x172)+~E(x171,x172)
% 4.12/4.24 [18]~P7(x181)+P7(x182)+~E(x181,x182)
% 4.12/4.24 [19]~P3(x191)+P3(x192)+~E(x191,x192)
% 4.12/4.24 [20]~P4(x201)+P4(x202)+~E(x201,x202)
% 4.12/4.24 [21]~P6(x211)+P6(x212)+~E(x211,x212)
% 4.12/4.24
% 4.12/4.24 %-------------------------------------------
% 4.12/4.25 cnf(35,plain,
% 4.12/4.25 (~E(f3(f7(a5),f8(a5),a1),f3(f7(a5),f6(a5),a1))),
% 4.12/4.25 inference(scs_inference,[],[24,25,15])).
% 4.12/4.25 cnf(36,plain,
% 4.12/4.25 (~E(f3(f7(a5),f6(a5),a1),f3(f7(a5),f8(a5),a1))),
% 4.12/4.25 inference(scs_inference,[],[24,25,15,2])).
% 4.12/4.25 cnf(37,plain,
% 4.12/4.25 (P6(a1)),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30])).
% 4.12/4.25 cnf(39,plain,
% 4.12/4.25 (P4(a1)),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29])).
% 4.12/4.25 cnf(41,plain,
% 4.12/4.25 (P7(a1)),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28])).
% 4.12/4.25 cnf(43,plain,
% 4.12/4.25 (P5(a1)),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27])).
% 4.12/4.25 cnf(45,plain,
% 4.12/4.25 (P3(a1)),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26])).
% 4.12/4.25 cnf(47,plain,
% 4.12/4.25 (E(f4(a2,x471,a1),x471)),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31])).
% 4.12/4.25 cnf(49,plain,
% 4.12/4.25 (E(f3(x491,x492,f4(a2,x493,a1)),f3(x491,x492,x493))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12])).
% 4.12/4.25 cnf(50,plain,
% 4.12/4.25 (E(f3(x501,f4(a2,x502,a1),x503),f3(x501,x502,x503))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11])).
% 4.12/4.25 cnf(51,plain,
% 4.12/4.25 (E(f3(f4(a2,x511,a1),x512,x513),f3(x511,x512,x513))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10])).
% 4.12/4.25 cnf(52,plain,
% 4.12/4.25 (E(f4(x521,x522,f4(a2,x523,a1)),f4(x521,x522,x523))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9])).
% 4.12/4.25 cnf(53,plain,
% 4.12/4.25 (E(f4(x531,f4(a2,x532,a1),x533),f4(x531,x532,x533))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9,8])).
% 4.12/4.25 cnf(54,plain,
% 4.12/4.25 (E(f4(f4(a2,x541,a1),x542,x543),f4(x541,x542,x543))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9,8,7])).
% 4.12/4.25 cnf(55,plain,
% 4.12/4.25 (E(f7(f4(a2,x551,a1)),f7(x551))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9,8,7,6])).
% 4.12/4.25 cnf(56,plain,
% 4.12/4.25 (E(f8(f4(a2,x561,a1)),f8(x561))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9,8,7,6,5])).
% 4.12/4.25 cnf(57,plain,
% 4.12/4.25 (E(f6(f4(a2,x571,a1)),f6(x571))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9,8,7,6,5,4])).
% 4.12/4.25 cnf(58,plain,
% 4.12/4.25 (~E(a1,x581)+P6(x581)),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9,8,7,6,5,4,21])).
% 4.12/4.25 cnf(59,plain,
% 4.12/4.25 (~P2(a2,f3(f7(a5),f6(a5),a1),f4(a2,a1,a1))),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9,8,7,6,5,4,21,16])).
% 4.12/4.25 cnf(61,plain,
% 4.12/4.25 (P2(f4(a2,f8(a5),a1),f7(a5),a1)),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9,8,7,6,5,4,21,16,3,34])).
% 4.12/4.25 cnf(64,plain,
% 4.12/4.25 (~P2(f4(a2,f6(a5),a1),f7(a5),a1)),
% 4.12/4.25 inference(scs_inference,[],[22,24,25,15,2,30,29,28,27,26,31,12,11,10,9,8,7,6,5,4,21,16,3,34,14,33])).
% 4.12/4.25 cnf(69,plain,
% 4.12/4.25 (E(f3(x691,x692,x693),f3(x691,x692,f4(a2,x693,a1)))),
% 4.12/4.25 inference(scs_inference,[],[49,2])).
% 4.12/4.25 cnf(70,plain,
% 4.12/4.25 (~E(f4(a2,f8(a5),a1),f4(a2,f6(a5),a1))),
% 4.12/4.25 inference(scs_inference,[],[49,61,64,2,14])).
% 4.12/4.25 cnf(71,plain,
% 4.12/4.25 (~P2(f3(f7(a5),f8(a5),a1),f3(f7(a5),f6(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[24,25,49,61,64,41,2,14,32])).
% 4.12/4.25 cnf(73,plain,
% 4.12/4.25 (~E(f8(a5),f6(a5))),
% 4.12/4.25 inference(scs_inference,[],[24,25,49,35,61,64,41,2,14,32,11])).
% 4.12/4.25 cnf(74,plain,
% 4.12/4.25 (~P2(a2,f3(f7(a5),f6(a5),a1),f4(a2,a1,f4(a2,a1,a1)))),
% 4.12/4.25 inference(scs_inference,[],[24,25,49,52,35,59,61,64,41,2,14,32,11,16])).
% 4.12/4.25 cnf(76,plain,
% 4.12/4.25 (~P2(a2,f3(f7(a5),f6(a5),f4(a2,a1,a1)),a1)),
% 4.12/4.25 inference(scs_inference,[],[24,25,49,52,35,59,61,64,41,2,14,32,11,16,15])).
% 4.12/4.25 cnf(77,plain,
% 4.12/4.25 (E(f3(x771,x772,f4(a2,x773,a1)),f3(x771,x772,x773))),
% 4.12/4.25 inference(rename_variables,[],[49])).
% 4.12/4.25 cnf(78,plain,
% 4.12/4.25 (E(f3(x781,f4(a2,x782,a1),f4(a2,x783,a1)),f3(x781,x782,x783))),
% 4.12/4.25 inference(scs_inference,[],[24,25,49,77,50,52,35,59,61,64,41,2,14,32,11,16,15,3])).
% 4.12/4.25 cnf(84,plain,
% 4.12/4.25 (~P2(f4(a2,a2,a1),f3(f7(a5),f6(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[25,47,14])).
% 4.12/4.25 cnf(86,plain,
% 4.12/4.25 (~E(f6(a5),f8(a5))),
% 4.12/4.25 inference(scs_inference,[],[25,73,47,14,2])).
% 4.12/4.25 cnf(87,plain,
% 4.12/4.25 (~P2(a2,f3(f4(a2,f7(a5),a1),f6(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[25,51,73,47,14,2,15])).
% 4.12/4.25 cnf(88,plain,
% 4.12/4.25 (E(f3(f4(a2,x881,a1),x882,x883),f3(x881,x882,x883))),
% 4.12/4.25 inference(rename_variables,[],[51])).
% 4.12/4.25 cnf(89,plain,
% 4.12/4.25 (~E(f4(a2,f8(a5),a1),f4(f4(a2,a2,a1),f6(a5),a1))),
% 4.12/4.25 inference(scs_inference,[],[25,51,54,73,47,70,14,2,15,3])).
% 4.12/4.25 cnf(91,plain,
% 4.12/4.25 (~E(a1,x911)+P3(x911)),
% 4.12/4.25 inference(scs_inference,[],[25,51,54,73,47,70,45,14,2,15,3,19])).
% 4.12/4.25 cnf(95,plain,
% 4.12/4.25 (P2(f6(a5),f8(a5),x951)+~E(a1,x951)),
% 4.12/4.25 inference(scs_inference,[],[23,25,51,88,54,73,47,70,45,41,14,2,15,3,19,21,32,16])).
% 4.12/4.25 cnf(98,plain,
% 4.12/4.25 (E(f4(x981,x982,x983),f4(x981,f4(a2,x982,a1),x983))),
% 4.12/4.25 inference(scs_inference,[],[53,2])).
% 4.12/4.25 cnf(99,plain,
% 4.12/4.25 (~P2(f4(a2,f4(a2,a2,a1),a1),f3(f7(a5),f6(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[53,84,2,14])).
% 4.12/4.25 cnf(100,plain,
% 4.12/4.25 (E(f4(x1001,f4(a2,x1002,a1),x1003),f4(x1001,x1002,x1003))),
% 4.12/4.25 inference(rename_variables,[],[53])).
% 4.12/4.25 cnf(101,plain,
% 4.12/4.25 (~P2(f3(f7(a5),f8(a5),a1),f3(f7(a5),f6(a5),a1),f4(a2,a1,a1))),
% 4.12/4.25 inference(scs_inference,[],[71,53,84,47,2,14,16])).
% 4.12/4.25 cnf(103,plain,
% 4.12/4.25 (~E(f3(f7(a5),f8(a5),f4(a2,a1,a1)),f3(f7(a5),f6(a5),a1))),
% 4.12/4.25 inference(scs_inference,[],[35,71,53,69,84,47,2,14,16,3])).
% 4.12/4.25 cnf(105,plain,
% 4.12/4.25 (~E(a1,x1051)+P7(x1051)),
% 4.12/4.25 inference(scs_inference,[],[35,71,53,69,84,47,41,2,14,16,3,18])).
% 4.12/4.25 cnf(106,plain,
% 4.12/4.25 (~P2(a2,f3(f3(f7(a5),f6(a5),a1),f4(a2,a2,a1),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[35,71,53,69,84,47,43,41,2,14,16,3,18,34])).
% 4.12/4.25 cnf(108,plain,
% 4.12/4.25 (~P2(a2,f3(f7(a5),f4(a2,f6(a5),a1),f4(a2,a1,a1)),a1)),
% 4.12/4.25 inference(scs_inference,[],[35,25,71,53,69,78,84,47,43,41,2,14,16,3,18,34,15])).
% 4.12/4.25 cnf(110,plain,
% 4.12/4.25 (~P4(f4(x1101,f4(a2,x1102,a1),x1103))+P4(f4(x1101,x1102,x1103))),
% 4.12/4.25 inference(scs_inference,[],[35,25,71,53,100,69,78,84,47,43,41,2,14,16,3,18,34,15,20])).
% 4.12/4.25 cnf(111,plain,
% 4.12/4.25 (~P2(x1111,f6(a5),a1)+P2(x1111,f8(a5),a1)),
% 4.12/4.25 inference(scs_inference,[],[23,35,25,71,53,100,69,78,84,47,43,41,2,14,16,3,18,34,15,20,32])).
% 4.12/4.25 cnf(114,plain,
% 4.12/4.25 (E(f4(x1141,x1142,f4(a2,x1143,a1)),f4(x1141,f4(a2,x1142,a1),x1143))),
% 4.12/4.25 inference(scs_inference,[],[98,52,3])).
% 4.12/4.25 cnf(115,plain,
% 4.12/4.25 (E(f4(x1151,x1152,x1153),f4(x1151,f4(a2,x1152,a1),x1153))),
% 4.12/4.25 inference(rename_variables,[],[98])).
% 4.12/4.25 cnf(118,plain,
% 4.12/4.25 (P2(a2,f3(f7(a5),f8(a5),f4(a2,a1,a1)),a1)),
% 4.12/4.25 inference(scs_inference,[],[24,98,103,52,69,3,2,15])).
% 4.12/4.25 cnf(121,plain,
% 4.12/4.25 (~P2(f3(f7(a5),f8(a5),a1),f3(f7(a5),f6(a5),f4(a2,a1,a1)),a1)),
% 4.12/4.25 inference(scs_inference,[],[24,98,103,76,52,69,43,41,3,2,15,17,32])).
% 4.12/4.25 cnf(123,plain,
% 4.12/4.25 (~P2(f4(a2,a2,a1),f3(f7(a5),f6(a5),a1),f4(a2,a1,f4(a2,a1,a1)))),
% 4.12/4.25 inference(scs_inference,[],[24,98,103,74,76,52,69,47,43,41,3,2,15,17,32,14])).
% 4.12/4.25 cnf(125,plain,
% 4.12/4.25 (~P3(f4(x1251,x1252,x1253))+P3(f4(x1251,f4(a2,x1252,a1),x1253))),
% 4.12/4.25 inference(scs_inference,[],[24,98,115,103,74,76,52,69,47,43,41,3,2,15,17,32,14,19])).
% 4.12/4.25 cnf(126,plain,
% 4.12/4.25 (~P2(x1261,x1262,f4(x1263,x1264,x1265))+P2(x1261,x1262,f4(x1263,f4(a2,x1264,a1),x1265))),
% 4.12/4.25 inference(scs_inference,[],[24,98,115,103,74,76,52,69,47,43,41,3,2,15,17,32,14,19,16])).
% 4.12/4.25 cnf(128,plain,
% 4.12/4.25 (E(f4(x1281,f4(a2,x1282,a1),x1283),f4(x1281,x1282,f4(a2,x1283,a1)))),
% 4.12/4.25 inference(scs_inference,[],[114,2])).
% 4.12/4.25 cnf(129,plain,
% 4.12/4.25 (E(f4(f4(a2,x1291,a1),x1292,f4(a2,x1293,a1)),f4(x1291,f4(a2,x1292,a1),x1293))),
% 4.12/4.25 inference(scs_inference,[],[114,54,2,3])).
% 4.12/4.25 cnf(130,plain,
% 4.12/4.25 (E(f4(x1301,x1302,f4(a2,x1303,a1)),f4(x1301,f4(a2,x1302,a1),x1303))),
% 4.12/4.25 inference(rename_variables,[],[114])).
% 4.12/4.25 cnf(132,plain,
% 4.12/4.25 (~E(a1,x1321)+P1(x1321)),
% 4.12/4.25 inference(scs_inference,[],[114,54,22,2,3,13])).
% 4.12/4.25 cnf(135,plain,
% 4.12/4.25 (~P7(f4(x1351,x1352,f4(a2,x1353,a1)))+P7(f4(x1351,f4(a2,x1352,a1),x1353))),
% 4.12/4.25 inference(scs_inference,[],[25,114,130,118,54,22,41,2,3,13,32,18])).
% 4.12/4.25 cnf(136,plain,
% 4.12/4.25 (P2(x1361,f3(f7(a5),f8(a5),a1),a1)+~E(a2,x1361)),
% 4.12/4.25 inference(scs_inference,[],[24,25,114,130,118,54,22,41,2,3,13,32,18,14])).
% 4.12/4.25 cnf(137,plain,
% 4.12/4.25 (P2(a2,f3(f7(a5),f8(a5),a1),x1371)+~E(a1,x1371)),
% 4.12/4.25 inference(scs_inference,[],[24,25,114,130,118,54,22,41,2,3,13,32,18,14,16])).
% 4.12/4.25 cnf(138,plain,
% 4.12/4.25 (P2(f4(a2,f8(a5),a1),x1381,a1)+~E(f7(a5),x1381)),
% 4.12/4.25 inference(scs_inference,[],[24,25,114,130,118,54,61,22,41,2,3,13,32,18,14,16,15])).
% 4.12/4.25 cnf(143,plain,
% 4.12/4.25 (~P2(f4(a2,f6(a5),a1),f4(a2,f7(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[87,43,33])).
% 4.12/4.25 cnf(145,plain,
% 4.12/4.25 (~P2(f4(f4(a2,a2,a1),a2,f4(a2,a1,a1)),f3(f7(a5),f6(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[129,87,99,43,33,14])).
% 4.12/4.25 cnf(147,plain,
% 4.12/4.25 (~E(f3(f7(a5),f6(a5),f4(a2,a1,a1)),f3(f7(a5),f8(a5),a1))),
% 4.12/4.25 inference(scs_inference,[],[36,129,87,99,69,43,33,14,3])).
% 4.12/4.25 cnf(149,plain,
% 4.12/4.25 (~E(f4(f4(a2,a2,a1),f6(a5),a1),f4(a2,f8(a5),a1))),
% 4.12/4.25 inference(scs_inference,[],[36,129,87,89,99,69,43,33,14,3,2])).
% 4.12/4.25 cnf(150,plain,
% 4.12/4.25 (~P2(f4(a2,a2,a1),f3(f7(a5),f6(a5),a1),f4(a2,f4(a2,a1,a1),a1))),
% 4.12/4.25 inference(scs_inference,[],[36,123,128,129,87,89,99,69,43,33,14,3,2,16])).
% 4.12/4.25 cnf(151,plain,
% 4.12/4.25 (E(f4(x1511,f4(a2,x1512,a1),x1513),f4(x1511,x1512,f4(a2,x1513,a1)))),
% 4.12/4.25 inference(rename_variables,[],[128])).
% 4.12/4.25 cnf(152,plain,
% 4.12/4.25 (~P2(f4(a2,f6(a5),a1),f7(f4(a2,a5,a1)),a1)),
% 4.12/4.25 inference(scs_inference,[],[36,123,128,55,129,87,89,99,64,69,43,33,14,3,2,16,15])).
% 4.12/4.25 cnf(154,plain,
% 4.12/4.25 (~P2(f4(a2,a2,a1),f3(f7(a5),f6(a5),a1),f4(a2,a1,a1))),
% 4.12/4.25 inference(scs_inference,[],[36,123,128,55,129,87,89,99,64,69,43,33,14,3,2,16,15,126])).
% 4.12/4.25 cnf(155,plain,
% 4.12/4.25 (~P1(f4(x1551,f4(a2,x1552,a1),x1553))+P1(f4(x1551,x1552,f4(a2,x1553,a1)))),
% 4.12/4.25 inference(scs_inference,[],[36,123,128,151,55,129,87,89,99,64,69,43,33,14,3,2,16,15,126,13])).
% 4.12/4.25 cnf(159,plain,
% 4.12/4.25 (~P2(f4(a2,a2,f4(a2,a1,a1)),f3(f7(a5),f6(a5),a1),f4(a2,a1,a1))),
% 4.12/4.25 inference(scs_inference,[],[154,52,14])).
% 4.12/4.25 cnf(160,plain,
% 4.12/4.25 (E(f4(x1601,x1602,f4(a2,x1603,a1)),f4(x1601,x1602,x1603))),
% 4.12/4.25 inference(rename_variables,[],[52])).
% 4.12/4.25 cnf(161,plain,
% 4.12/4.25 (E(f8(x1611),f8(f4(a2,x1611,a1)))),
% 4.12/4.25 inference(scs_inference,[],[154,56,52,14,2])).
% 4.12/4.25 cnf(162,plain,
% 4.12/4.25 (E(f3(f4(a2,x1621,a1),f4(a2,x1622,a1),x1623),f3(x1621,x1622,x1623))),
% 4.12/4.25 inference(scs_inference,[],[154,56,50,51,52,14,2,3])).
% 4.12/4.25 cnf(164,plain,
% 4.12/4.25 (~P2(f4(a2,a2,a1),f3(f7(a5),f6(a5),a1),f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.12/4.25 inference(scs_inference,[],[154,150,56,50,51,129,52,14,2,3,16])).
% 4.12/4.25 cnf(166,plain,
% 4.12/4.25 (~P2(f4(a2,f6(a5),a1),f4(a2,f7(a5),f4(a2,a1,a1)),a1)),
% 4.12/4.25 inference(scs_inference,[],[154,150,56,143,50,51,129,52,160,14,2,3,16,15])).
% 4.12/4.25 cnf(169,plain,
% 4.12/4.25 (~E(f4(a2,f6(a5),a1),f4(a2,f8(a5),a1))),
% 4.12/4.25 inference(scs_inference,[],[70,2])).
% 4.12/4.25 cnf(170,plain,
% 4.12/4.25 (~E(f8(a5),f6(f4(a2,a5,a1)))),
% 4.12/4.25 inference(scs_inference,[],[57,73,70,2,3])).
% 4.12/4.25 cnf(172,plain,
% 4.12/4.25 (P2(f6(a5),f8(f4(a2,a5,a1)),a1)),
% 4.12/4.25 inference(scs_inference,[],[57,161,73,70,23,2,3,15])).
% 4.12/4.25 cnf(174,plain,
% 4.12/4.25 (~P2(a2,f3(f7(f4(a2,a5,a1)),f6(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[57,161,152,73,70,23,43,2,3,15,34])).
% 4.12/4.25 cnf(192,plain,
% 4.12/4.25 (~P2(f4(a2,f4(a2,a2,a1),a1),f3(f7(a5),f6(a5),a1),f4(a2,a1,a1))),
% 4.12/4.25 inference(scs_inference,[],[159,166,128,76,118,43,41,34,32,14])).
% 4.12/4.25 cnf(193,plain,
% 4.12/4.25 (E(f4(x1931,f4(a2,x1932,a1),x1933),f4(x1931,x1932,f4(a2,x1933,a1)))),
% 4.12/4.25 inference(rename_variables,[],[128])).
% 4.12/4.25 cnf(194,plain,
% 4.12/4.25 (E(f3(x1941,x1942,x1943),f3(x1941,f4(a2,x1942,a1),f4(a2,x1943,a1)))),
% 4.12/4.25 inference(scs_inference,[],[159,166,78,128,76,118,43,41,34,32,14,2])).
% 4.12/4.25 cnf(195,plain,
% 4.12/4.25 (~E(f6(a5),f8(f4(a2,a5,a1)))),
% 4.12/4.25 inference(scs_inference,[],[86,159,166,78,128,76,56,118,43,41,34,32,14,2,3])).
% 4.12/4.25 cnf(197,plain,
% 4.12/4.25 (~P2(f4(a2,a2,a1),f3(f7(a5),f6(a5),a1),f4(f4(a2,a2,a1),f4(a2,a1,a1),a1))),
% 4.12/4.25 inference(scs_inference,[],[86,164,159,166,78,128,193,76,56,118,43,41,34,32,14,2,3,16])).
% 4.12/4.25 cnf(199,plain,
% 4.12/4.25 (~P2(f4(a2,a2,a1),f3(f7(a5),f4(a2,f6(a5),a1),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.12/4.25 inference(scs_inference,[],[86,164,159,166,154,78,128,193,76,56,118,43,41,34,32,14,2,3,16,15])).
% 4.12/4.25 cnf(202,plain,
% 4.12/4.25 (~P2(f4(a2,a2,a1),f3(f7(a5),f4(a2,f6(a5),a1),f4(a2,a1,a1)),a1)),
% 4.12/4.25 inference(scs_inference,[],[108,47,14])).
% 4.12/4.25 cnf(204,plain,
% 4.12/4.25 (~E(f8(f4(a2,a5,a1)),f6(a5))),
% 4.12/4.25 inference(scs_inference,[],[108,195,47,14,2])).
% 4.12/4.25 cnf(205,plain,
% 4.12/4.25 (E(f3(f4(a2,x2051,a1),x2052,x2053),f3(x2051,x2052,f4(a2,x2053,a1)))),
% 4.12/4.25 inference(scs_inference,[],[194,108,195,162,47,14,2,3])).
% 4.12/4.25 cnf(210,plain,
% 4.12/4.25 (~P2(f4(a2,f6(a5),a1),f4(f4(a2,a2,a1),f7(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[194,197,108,195,162,143,98,54,47,14,2,3,16,15])).
% 4.12/4.25 cnf(219,plain,
% 4.12/4.25 (E(f3(x2191,x2192,f4(a2,x2193,a1)),f3(f4(a2,x2191,a1),x2192,x2193))),
% 4.12/4.25 inference(scs_inference,[],[205,2])).
% 4.12/4.25 cnf(220,plain,
% 4.12/4.25 (~E(f8(f4(a2,a5,a1)),f6(f4(a2,a5,a1)))),
% 4.12/4.25 inference(scs_inference,[],[205,204,57,2,3])).
% 4.12/4.25 cnf(225,plain,
% 4.12/4.25 (P2(x2251,f8(f4(a2,a5,a1)),a1)+~E(f6(a5),x2251)),
% 4.12/4.25 inference(scs_inference,[],[41,205,204,57,172,2,3,17,32,14])).
% 4.12/4.25 cnf(226,plain,
% 4.12/4.25 (P2(f6(a5),f8(f4(a2,a5,a1)),x2261)+~E(a1,x2261)),
% 4.12/4.25 inference(scs_inference,[],[41,205,204,57,172,2,3,17,32,14,16])).
% 4.12/4.25 cnf(231,plain,
% 4.12/4.25 (~E(f6(f4(a2,a5,a1)),f8(f4(a2,a5,a1)))),
% 4.12/4.25 inference(scs_inference,[],[101,220,49,14,2])).
% 4.12/4.25 cnf(232,plain,
% 4.12/4.25 (~P2(f3(f7(a5),f8(a5),a1),f3(f7(a5),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.12/4.25 inference(scs_inference,[],[101,220,121,49,47,14,2,16])).
% 4.12/4.25 cnf(236,plain,
% 4.12/4.25 (E(f3(x2361,x2362,f4(a2,x2363,a1)),f3(f4(a2,x2361,a1),f4(a2,x2362,a1),f4(a2,x2363,a1)))),
% 4.12/4.25 inference(scs_inference,[],[41,101,220,219,202,121,194,49,47,14,2,16,32,3])).
% 4.12/4.25 cnf(243,plain,
% 4.12/4.25 (~P2(f4(a2,f6(a5),a1),f4(a2,f8(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[41,64,61,32])).
% 4.12/4.25 cnf(245,plain,
% 4.12/4.25 (E(f7(x2451),f7(f4(a2,x2451,a1)))),
% 4.12/4.25 inference(scs_inference,[],[41,55,64,61,32,2])).
% 4.12/4.25 cnf(246,plain,
% 4.12/4.25 (~P2(f4(f4(a2,a2,a1),f4(a2,a2,a1),f4(a2,a1,a1)),f3(f7(a5),f6(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[41,145,55,53,64,61,32,2,14])).
% 4.12/4.25 cnf(255,plain,
% 4.12/4.25 (P2(f4(a2,f8(a5),a1),f7(f4(a2,a5,a1)),a1)),
% 4.12/4.25 inference(scs_inference,[],[43,41,231,236,145,210,55,161,53,64,61,32,2,14,3,33,34,20,15])).
% 4.12/4.25 cnf(264,plain,
% 4.12/4.25 (~P2(a2,f3(f4(a2,f8(a5),a1),f6(a5),a1),a1)),
% 4.12/4.25 inference(scs_inference,[],[43,243,246,33,34])).
% 4.12/4.26 cnf(266,plain,
% 4.12/4.26 (~P2(f4(a2,f6(a5),a1),f4(a2,f8(a5),f4(a2,a1,a1)),a1)),
% 4.12/4.26 inference(scs_inference,[],[43,243,246,52,33,34,15])).
% 4.12/4.26 cnf(270,plain,
% 4.22/4.26 (E(f3(x2701,x2702,x2703),f3(x2701,f4(a2,x2702,a1),x2703))),
% 4.22/4.26 inference(scs_inference,[],[43,41,255,243,246,50,52,33,34,15,32,2])).
% 4.22/4.26 cnf(279,plain,
% 4.22/4.26 (P2(a2,f3(f7(f4(a2,a5,a1)),f8(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[43,255,33])).
% 4.22/4.26 cnf(281,plain,
% 4.22/4.26 (P2(a2,f3(f7(a5),f4(a2,f8(a5),a1),f4(a2,a1,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[43,270,255,118,33,15])).
% 4.22/4.26 cnf(283,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),a2,f4(a2,a1,a1)),f3(f7(a5),f6(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,192,270,255,129,118,33,15,14])).
% 4.22/4.26 cnf(297,plain,
% 4.22/4.26 (E(f4(a2,x2971,a1),x2971)),
% 4.22/4.26 inference(rename_variables,[],[47])).
% 4.22/4.26 cnf(298,plain,
% 4.22/4.26 (~E(f4(a2,f8(a5),a1),f6(a5))),
% 4.22/4.26 inference(scs_inference,[],[47,43,266,169,34,3,2])).
% 4.22/4.26 cnf(299,plain,
% 4.22/4.26 (~P2(f4(a2,a2,a1),f3(f3(f7(a5),f6(a5),a1),f4(a2,a2,a1),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[47,297,43,266,106,169,34,3,2,14])).
% 4.22/4.26 cnf(300,plain,
% 4.22/4.26 (E(f4(a2,x3001,a1),x3001)),
% 4.22/4.26 inference(rename_variables,[],[47])).
% 4.22/4.26 cnf(301,plain,
% 4.22/4.26 (~P5(f4(a2,a1,a1))+~P2(f4(f4(a2,a2,a1),f4(a2,f6(a5),a1),f4(a2,a1,a1)),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[47,297,43,199,266,106,169,34,3,2,14,33])).
% 4.22/4.26 cnf(304,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),a1),x3041,a1)+~P2(x3041,f4(a2,f8(a5),f4(a2,a1,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[41,47,297,300,43,199,266,106,169,34,3,2,14,33,19,32])).
% 4.22/4.26 cnf(308,plain,
% 4.22/4.26 (E(f4(a2,f3(x3081,x3082,x3083),a1),f3(x3081,f4(a2,x3082,a1),x3083))),
% 4.22/4.26 inference(scs_inference,[],[47,270,3])).
% 4.22/4.26 cnf(309,plain,
% 4.22/4.26 (E(f4(a2,x3091,a1),x3091)),
% 4.22/4.26 inference(rename_variables,[],[47])).
% 4.22/4.26 cnf(310,plain,
% 4.22/4.26 (E(x3101,f4(a2,x3101,a1))),
% 4.22/4.26 inference(scs_inference,[],[47,309,270,3,2])).
% 4.22/4.26 cnf(312,plain,
% 4.22/4.26 (~P2(a2,f3(f7(a5),f6(a5),a1),f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[47,309,281,59,270,53,3,2,14,16])).
% 4.22/4.26 cnf(314,plain,
% 4.22/4.26 (P2(f4(a2,a2,a1),f3(f7(a5),f8(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[47,309,281,59,270,53,3,2,14,16,136])).
% 4.22/4.26 cnf(315,plain,
% 4.22/4.26 (~P5(f4(a2,a1,a1))+~P2(f4(a2,a2,a1),f3(f3(f7(a5),f6(a5),a1),a2,f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[47,309,283,281,59,270,53,3,2,14,16,136,34])).
% 4.22/4.26 cnf(317,plain,
% 4.22/4.26 (~P2(f4(a2,a2,a1),f3(f7(a5),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[47,309,283,281,199,59,270,53,3,2,14,16,136,34,15])).
% 4.22/4.26 cnf(320,plain,
% 4.22/4.26 (E(f3(a2,x3201,x3202),f3(f4(a2,a2,a1),x3201,x3202))),
% 4.22/4.26 inference(scs_inference,[],[47,309,283,281,199,59,270,53,3,2,14,16,136,34,15,4,10])).
% 4.22/4.26 cnf(321,plain,
% 4.22/4.26 (E(f4(x3211,x3212,a2),f4(x3211,x3212,f4(a2,a2,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,309,283,281,199,59,270,53,3,2,14,16,136,34,15,4,10,9])).
% 4.22/4.26 cnf(322,plain,
% 4.22/4.26 (E(f4(a2,x3221,x3222),f4(f4(a2,a2,a1),x3221,x3222))),
% 4.22/4.26 inference(scs_inference,[],[47,309,283,281,199,59,270,53,3,2,14,16,136,34,15,4,10,9,7])).
% 4.22/4.26 cnf(328,plain,
% 4.22/4.26 (P2(f6(a5),f8(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[310,226])).
% 4.22/4.26 cnf(329,plain,
% 4.22/4.26 (E(x3291,f4(a2,x3291,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(330,plain,
% 4.22/4.26 (P2(a2,f3(f7(a5),f8(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[310,329,226,137])).
% 4.22/4.26 cnf(331,plain,
% 4.22/4.26 (E(x3311,f4(a2,x3311,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(332,plain,
% 4.22/4.26 (P1(f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[310,329,331,226,137,132])).
% 4.22/4.26 cnf(333,plain,
% 4.22/4.26 (E(x3331,f4(a2,x3331,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(334,plain,
% 4.22/4.26 (P7(f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[310,329,331,333,226,137,132,105])).
% 4.22/4.26 cnf(335,plain,
% 4.22/4.26 (E(x3351,f4(a2,x3351,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(336,plain,
% 4.22/4.26 (P2(f6(a5),f8(f4(a2,a5,a1)),f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[310,329,331,333,226,137,132,105,126])).
% 4.22/4.26 cnf(337,plain,
% 4.22/4.26 (P5(f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,310,329,331,333,335,226,137,132,105,126,17])).
% 4.22/4.26 cnf(338,plain,
% 4.22/4.26 (E(x3381,f4(a2,x3381,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(339,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f6(a5),f4(a2,a1,a1)),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,317,310,329,331,333,335,226,137,132,105,126,17,33])).
% 4.22/4.26 cnf(341,plain,
% 4.22/4.26 (P2(f4(f4(a2,a2,a1),f8(a5),a1),f7(a5),a1)),
% 4.22/4.26 inference(scs_inference,[],[43,317,310,329,331,333,335,314,226,137,132,105,126,17,33,34])).
% 4.22/4.26 cnf(343,plain,
% 4.22/4.26 (P4(f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,317,310,329,331,333,335,338,314,39,226,137,132,105,126,17,33,34,20])).
% 4.22/4.26 cnf(345,plain,
% 4.22/4.26 (E(f3(x3451,x3452,f4(a2,x3453,a1)),f3(x3451,x3452,x3453))),
% 4.22/4.26 inference(rename_variables,[],[49])).
% 4.22/4.26 cnf(347,plain,
% 4.22/4.26 (P2(a2,f3(f7(a5),f4(a2,f8(a5),a1),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,49,317,310,329,331,333,335,338,314,147,194,39,226,137,132,105,126,17,33,34,20,3,2,15])).
% 4.22/4.26 cnf(349,plain,
% 4.22/4.26 (P2(a2,f3(f7(f4(a2,a5,a1)),f8(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,49,317,279,310,329,331,333,335,338,314,147,194,39,226,137,132,105,126,17,33,34,20,3,2,15,16])).
% 4.22/4.26 cnf(350,plain,
% 4.22/4.26 (E(x3501,f4(a2,x3501,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(351,plain,
% 4.22/4.26 (~P2(f3(f7(a5),f8(a5),f4(a2,a1,a1)),f3(f7(a5),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,49,345,317,232,279,310,329,331,333,335,338,314,147,194,39,226,137,132,105,126,17,33,34,20,3,2,15,16,14])).
% 4.22/4.26 cnf(353,plain,
% 4.22/4.26 (~P2(f4(a2,a2,a1),f3(f3(f7(a5),f6(a5),a1),a2,f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,49,345,317,232,279,310,329,331,333,335,338,314,147,194,39,226,137,132,105,126,17,33,34,20,3,2,15,16,14,315])).
% 4.22/4.26 cnf(354,plain,
% 4.22/4.26 (P2(f4(a2,f6(a5),a1),f8(f4(a2,a5,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[43,49,345,317,232,279,310,329,331,333,335,338,350,314,147,194,39,226,137,132,105,126,17,33,34,20,3,2,15,16,14,315,225])).
% 4.22/4.26 cnf(355,plain,
% 4.22/4.26 (E(x3551,f4(a2,x3551,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(357,plain,
% 4.22/4.26 (E(x3571,f4(a2,x3571,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(359,plain,
% 4.22/4.26 (E(x3591,f4(a2,x3591,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(360,plain,
% 4.22/4.26 (P6(f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,49,345,317,232,279,310,329,331,333,335,338,350,355,357,359,314,147,194,39,226,137,132,105,126,17,33,34,20,3,2,15,16,14,315,225,95,91,58])).
% 4.22/4.26 cnf(361,plain,
% 4.22/4.26 (E(x3611,f4(a2,x3611,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(362,plain,
% 4.22/4.26 (P2(f4(a2,f8(a5),a1),f4(a2,f7(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[43,49,345,317,232,279,310,329,331,333,335,338,350,355,357,359,361,314,147,194,39,226,137,132,105,126,17,33,34,20,3,2,15,16,14,315,225,95,91,58,138])).
% 4.22/4.26 cnf(364,plain,
% 4.22/4.26 (E(f4(a2,x3641,f4(a2,a1,a1)),x3641)),
% 4.22/4.26 inference(scs_inference,[],[43,49,345,317,232,279,310,329,331,333,335,338,350,355,357,359,361,314,147,194,39,226,137,132,105,126,17,33,34,20,3,2,15,16,14,315,225,95,91,58,138,31])).
% 4.22/4.26 cnf(368,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f4(a2,f8(a5),f4(a2,a1,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[43,49,345,317,232,279,310,329,331,333,335,338,350,355,357,359,361,314,147,194,39,172,41,226,137,132,105,126,17,33,34,20,3,2,15,16,14,315,225,95,91,58,138,31,32,304])).
% 4.22/4.26 cnf(370,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f4(a2,f6(a5),a1),f4(a2,a1,a1)),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[43,49,345,317,232,279,310,329,331,333,335,338,350,355,357,359,361,314,147,194,39,172,41,226,137,132,105,126,17,33,34,20,3,2,15,16,14,315,225,95,91,58,138,31,32,304,301])).
% 4.22/4.26 cnf(378,plain,
% 4.22/4.26 (~E(f4(a2,f8(a5),a1),f6(f4(a2,a5,a1)))),
% 4.22/4.26 inference(scs_inference,[],[43,362,170,310,33,3])).
% 4.22/4.26 cnf(379,plain,
% 4.22/4.26 (E(x3791,f4(a2,x3791,a1))),
% 4.22/4.26 inference(rename_variables,[],[310])).
% 4.22/4.26 cnf(380,plain,
% 4.22/4.26 (E(x3801,f4(a2,x3801,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[43,364,362,170,310,33,3,2])).
% 4.22/4.26 cnf(381,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),a1),f8(a5),a1)),
% 4.22/4.26 inference(scs_inference,[],[43,364,362,170,310,379,243,33,3,2,15])).
% 4.22/4.26 cnf(383,plain,
% 4.22/4.26 (~P2(a2,f3(f7(a5),f6(a5),a1),f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[43,364,312,362,170,310,379,243,129,33,3,2,15,16])).
% 4.22/4.26 cnf(385,plain,
% 4.22/4.26 (~P2(f4(a2,a2,a1),f3(f4(a2,f8(a5),a1),f6(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[43,47,364,264,312,362,170,310,379,243,129,33,3,2,15,16,14])).
% 4.22/4.26 cnf(387,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),a1),f6(a5),a1)),
% 4.22/4.26 inference(scs_inference,[],[43,47,364,264,312,362,170,310,379,243,129,33,3,2,15,16,14,111])).
% 4.22/4.26 cnf(403,plain,
% 4.22/4.26 (E(x4031,f4(a2,x4031,f4(a2,a1,a1)))),
% 4.22/4.26 inference(rename_variables,[],[380])).
% 4.22/4.26 cnf(404,plain,
% 4.22/4.26 (P1(f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[380,403,22,41,18,13])).
% 4.22/4.26 cnf(405,plain,
% 4.22/4.26 (E(x4051,f4(a2,x4051,f4(a2,a1,a1)))),
% 4.22/4.26 inference(rename_variables,[],[380])).
% 4.22/4.26 cnf(406,plain,
% 4.22/4.26 (P4(f4(f4(a2,a2,a1),a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[343,322,380,403,22,41,18,13,20])).
% 4.22/4.26 cnf(407,plain,
% 4.22/4.26 (E(f4(a2,x4071,x4072),f4(f4(a2,a2,a1),x4071,x4072))),
% 4.22/4.26 inference(rename_variables,[],[322])).
% 4.22/4.26 cnf(408,plain,
% 4.22/4.26 (P6(f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[343,322,380,403,405,37,22,41,18,13,20,21])).
% 4.22/4.26 cnf(409,plain,
% 4.22/4.26 (E(x4091,f4(a2,x4091,f4(a2,a1,a1)))),
% 4.22/4.26 inference(rename_variables,[],[380])).
% 4.22/4.26 cnf(412,plain,
% 4.22/4.26 (P2(f4(a2,f4(a2,f8(a5),a1),f4(a2,a1,a1)),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[343,351,322,380,403,405,347,337,37,22,41,18,13,20,21,33,34])).
% 4.22/4.26 cnf(414,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f6(a5),a1)),
% 4.22/4.26 inference(scs_inference,[],[343,351,322,380,403,405,387,347,354,337,37,22,41,18,13,20,21,33,34,32])).
% 4.22/4.26 cnf(416,plain,
% 4.22/4.26 (E(f3(a2,f4(a2,x4161,a1),x4162),f3(f4(a2,a2,a1),x4161,x4162))),
% 4.22/4.26 inference(scs_inference,[],[50,343,351,320,322,380,403,405,387,347,354,337,37,22,41,18,13,20,21,33,34,32,3])).
% 4.22/4.26 cnf(418,plain,
% 4.22/4.26 (E(f3(x4181,f4(a2,x4182,a1),x4183),f3(x4181,x4182,x4183))),
% 4.22/4.26 inference(rename_variables,[],[50])).
% 4.22/4.26 cnf(419,plain,
% 4.22/4.26 (~E(f6(f4(a2,a5,a1)),f4(a2,f8(a5),a1))),
% 4.22/4.26 inference(scs_inference,[],[50,343,351,378,320,322,380,403,405,387,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2])).
% 4.22/4.26 cnf(420,plain,
% 4.22/4.26 (~P2(f4(a2,a2,a1),f3(f3(f7(a5),f6(a5),a1),f4(a2,a2,a1),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[50,418,343,351,378,353,320,322,380,403,405,387,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2,15])).
% 4.22/4.26 cnf(422,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),a1),f6(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[50,418,47,343,351,378,353,320,322,380,403,405,387,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2,15,16])).
% 4.22/4.26 cnf(424,plain,
% 4.22/4.26 (P2(f4(a2,f6(a5),f4(a2,a1,a1)),f8(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[50,418,47,343,351,378,353,320,322,380,403,405,409,387,328,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2,15,16,14])).
% 4.22/4.26 cnf(426,plain,
% 4.22/4.26 (P7(f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[50,418,47,343,351,378,353,320,322,380,403,405,409,387,328,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2,15,16,14,135])).
% 4.22/4.26 cnf(427,plain,
% 4.22/4.26 (P3(f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[50,418,47,343,351,378,353,320,322,380,403,405,409,387,328,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2,15,16,14,135,26])).
% 4.22/4.26 cnf(429,plain,
% 4.22/4.26 (P4(f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[50,418,47,343,351,378,353,320,322,380,403,405,409,387,328,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2,15,16,14,135,26,29])).
% 4.22/4.26 cnf(431,plain,
% 4.22/4.26 (P3(f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[50,418,47,343,351,378,353,320,322,407,380,403,405,409,387,328,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2,15,16,14,135,26,29,19])).
% 4.22/4.26 cnf(432,plain,
% 4.22/4.26 (P5(f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[50,418,47,343,351,378,353,320,322,407,380,403,405,409,387,328,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2,15,16,14,135,26,29,19,27])).
% 4.22/4.26 cnf(434,plain,
% 4.22/4.26 (P7(f4(f4(a2,a2,a1),a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[50,418,47,343,351,378,353,320,322,407,380,403,405,409,387,328,347,354,337,37,22,41,18,13,20,21,33,34,32,3,2,15,16,14,135,26,29,19,27,28])).
% 4.22/4.26 cnf(438,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f8(a5),a1)),
% 4.22/4.26 inference(scs_inference,[],[424,381,354,337,41,33,32])).
% 4.22/4.26 cnf(440,plain,
% 4.22/4.26 (E(f4(a2,f4(x4401,x4402,a2),a1),f4(x4401,x4402,f4(a2,a2,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,321,424,381,354,337,41,33,32,3])).
% 4.22/4.26 cnf(441,plain,
% 4.22/4.26 (E(f4(a2,x4411,a1),x4411)),
% 4.22/4.26 inference(rename_variables,[],[47])).
% 4.22/4.26 cnf(444,plain,
% 4.22/4.26 (E(x4441,f4(a2,x4441,f4(a2,a1,a1)))),
% 4.22/4.26 inference(rename_variables,[],[380])).
% 4.22/4.26 cnf(445,plain,
% 4.22/4.26 (P2(f4(a2,f6(a5),f4(a2,a1,a1)),f8(f4(a2,a5,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[47,441,321,424,416,330,381,380,354,337,41,33,32,3,2,15,16])).
% 4.22/4.26 cnf(447,plain,
% 4.22/4.26 (~P2(f4(a2,f4(a2,f6(a5),a1),f4(a2,a1,a1)),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[47,441,321,424,416,330,381,370,322,380,354,337,41,33,32,3,2,15,16,14])).
% 4.22/4.26 cnf(449,plain,
% 4.22/4.26 (P2(f4(a2,a2,f4(a2,a1,a1)),f3(f7(a5),f8(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[47,441,321,424,416,330,381,370,322,380,444,354,337,41,33,32,3,2,15,16,14,136])).
% 4.22/4.26 cnf(451,plain,
% 4.22/4.26 (E(f3(x4511,x4512,x4513),f3(f4(a2,x4511,a1),x4512,x4513))),
% 4.22/4.26 inference(scs_inference,[],[47,441,321,424,416,330,381,370,322,380,444,354,310,337,41,33,32,3,2,15,16,14,136,10])).
% 4.22/4.26 cnf(452,plain,
% 4.22/4.26 (E(f6(x4521),f6(f4(a2,x4521,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,441,321,424,416,330,381,370,322,380,444,354,310,337,41,33,32,3,2,15,16,14,136,10,4])).
% 4.22/4.26 cnf(453,plain,
% 4.22/4.26 (E(f4(x4531,x4532,x4533),f4(x4531,x4532,f4(a2,x4533,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,441,321,424,416,330,381,370,322,380,444,354,310,337,41,33,32,3,2,15,16,14,136,10,4,9])).
% 4.22/4.26 cnf(454,plain,
% 4.22/4.26 (E(f4(x4541,x4542,x4543),f4(f4(a2,x4541,a1),x4542,x4543))),
% 4.22/4.26 inference(scs_inference,[],[47,441,321,424,416,330,381,370,322,380,444,354,310,337,41,33,32,3,2,15,16,14,136,10,4,9,7])).
% 4.22/4.26 cnf(461,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f4(a2,f7(a5),f4(a2,a1,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[447,166,354,337,43,41,33,34,32])).
% 4.22/4.26 cnf(464,plain,
% 4.22/4.26 (E(f4(x4641,x4642,x4643),f4(x4641,x4642,f4(a2,x4643,a1)))),
% 4.22/4.26 inference(rename_variables,[],[453])).
% 4.22/4.26 cnf(465,plain,
% 4.22/4.26 (~E(f4(a2,f8(a5),a1),f4(f4(a2,a2,a1),f6(a5),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[453,447,149,166,354,337,43,41,33,34,32,3,2])).
% 4.22/4.26 cnf(466,plain,
% 4.22/4.26 (~P2(f4(a2,a2,a1),f3(f8(a5),f6(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[451,453,447,385,149,166,354,337,43,41,33,34,32,3,2,15])).
% 4.22/4.26 cnf(468,plain,
% 4.22/4.26 (~P2(a2,f3(f7(a5),f6(a5),a1),f4(f4(a2,a2,a1),a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[451,453,464,447,383,385,149,166,354,337,43,41,33,34,32,3,2,15,16])).
% 4.22/4.26 cnf(472,plain,
% 4.22/4.26 (P2(a2,f3(f7(a5),f8(a5),a1),f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,451,453,464,447,174,383,385,149,166,380,354,337,43,41,33,34,32,3,2,15,16,14,137])).
% 4.22/4.26 cnf(473,plain,
% 4.22/4.26 (E(x4731,f4(a2,x4731,f4(a2,a1,a1)))),
% 4.22/4.26 inference(rename_variables,[],[380])).
% 4.22/4.26 cnf(474,plain,
% 4.22/4.26 (P2(f6(a5),f8(a5),f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,451,453,464,447,174,383,385,149,166,380,473,354,337,43,41,33,34,32,3,2,15,16,14,137,95])).
% 4.22/4.26 cnf(475,plain,
% 4.22/4.26 (E(x4751,f4(a2,x4751,f4(a2,a1,a1)))),
% 4.22/4.26 inference(rename_variables,[],[380])).
% 4.22/4.26 cnf(476,plain,
% 4.22/4.26 (P2(f6(a5),f8(f4(a2,a5,a1)),f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,451,453,464,447,174,383,385,149,166,380,473,475,354,337,43,41,33,34,32,3,2,15,16,14,137,95,226])).
% 4.22/4.26 cnf(477,plain,
% 4.22/4.26 (E(x4771,f4(a2,x4771,f4(a2,a1,a1)))),
% 4.22/4.26 inference(rename_variables,[],[380])).
% 4.22/4.26 cnf(478,plain,
% 4.22/4.26 (P2(f6(f4(a2,a5,a1)),f8(f4(a2,a5,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[47,451,453,464,452,447,174,383,385,149,166,380,473,475,354,337,43,41,33,34,32,3,2,15,16,14,137,95,226,225])).
% 4.22/4.26 cnf(481,plain,
% 4.22/4.26 (P2(f4(a2,f8(a5),a1),f4(a2,f7(a5),f4(a2,a1,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[47,427,451,453,464,452,447,174,383,385,149,166,380,473,475,477,354,337,43,41,33,34,32,3,2,15,16,14,137,95,226,225,125,138])).
% 4.22/4.26 cnf(486,plain,
% 4.22/4.26 (E(f4(x4861,x4862,x4863),f4(f4(a2,x4861,a1),x4862,x4863))),
% 4.22/4.26 inference(rename_variables,[],[454])).
% 4.22/4.26 cnf(487,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f4(a2,a2,a1),f4(a2,a1,a1)),f3(f7(a5),f6(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[420,432,454,337,17,33])).
% 4.22/4.26 cnf(491,plain,
% 4.22/4.26 (E(f3(f4(a2,x4911,a1),x4912,f4(a2,x4913,a1)),f3(x4911,x4912,x4913))),
% 4.22/4.26 inference(scs_inference,[],[51,49,420,432,454,481,461,337,41,17,33,32,3])).
% 4.22/4.26 cnf(493,plain,
% 4.22/4.26 (E(f4(x4931,x4932,f4(a2,a2,a1)),f4(a2,f4(x4931,x4932,a2),a1))),
% 4.22/4.26 inference(scs_inference,[],[51,49,420,432,454,440,481,461,337,41,17,33,32,3,2])).
% 4.22/4.26 cnf(494,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),a1),f4(a2,f6(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[47,51,49,420,432,454,422,440,481,461,337,41,17,33,32,3,2,15])).
% 4.22/4.26 cnf(495,plain,
% 4.22/4.26 (E(f4(a2,x4951,a1),x4951)),
% 4.22/4.26 inference(rename_variables,[],[47])).
% 4.22/4.26 cnf(496,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f4(a2,f8(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[47,495,51,49,420,432,454,368,422,440,481,461,337,41,17,33,32,3,2,15,16])).
% 4.22/4.26 cnf(498,plain,
% 4.22/4.26 (P2(f4(f4(a2,a2,a1),f4(a2,f8(a5),a1),f4(a2,a1,a1)),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[47,495,51,49,420,432,412,454,486,368,422,440,481,461,337,41,17,33,32,3,2,15,16,14])).
% 4.22/4.26 cnf(499,plain,
% 4.22/4.26 (E(f4(x4991,x4992,x4993),f4(f4(a2,x4991,a1),x4992,x4993))),
% 4.22/4.26 inference(rename_variables,[],[454])).
% 4.22/4.26 cnf(501,plain,
% 4.22/4.26 (P1(f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,495,51,49,420,404,432,412,454,486,499,368,422,440,481,461,337,41,17,33,32,3,2,15,16,14,18,13])).
% 4.22/4.26 cnf(502,plain,
% 4.22/4.26 (E(f4(x5021,x5022,x5023),f4(f4(a2,x5021,a1),x5022,x5023))),
% 4.22/4.26 inference(rename_variables,[],[454])).
% 4.22/4.26 cnf(503,plain,
% 4.22/4.26 (P4(f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,495,51,49,420,404,429,432,412,454,486,499,502,368,422,440,481,461,337,41,17,33,32,3,2,15,16,14,18,13,20])).
% 4.22/4.26 cnf(505,plain,
% 4.22/4.26 (P6(f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[47,495,51,49,420,404,429,432,412,454,486,499,502,368,422,440,481,461,337,41,17,33,32,3,2,15,16,14,18,13,20,30])).
% 4.22/4.26 cnf(507,plain,
% 4.22/4.26 (P2(f4(a2,a2,a1),f3(f7(a5),f4(a2,f8(a5),a1),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[498,337,33])).
% 4.22/4.26 cnf(510,plain,
% 4.22/4.26 (E(f4(x5101,x5102,f4(a2,x5103,a1)),f4(x5101,x5102,x5103))),
% 4.22/4.26 inference(rename_variables,[],[52])).
% 4.22/4.26 cnf(512,plain,
% 4.22/4.26 (P2(f4(f4(a2,a2,a1),f8(a5),a1),f7(f4(a2,a5,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[52,419,341,498,245,337,33,3,2,15])).
% 4.22/4.26 cnf(514,plain,
% 4.22/4.26 (P2(f4(f4(a2,a2,a1),f8(a5),a1),f7(a5),f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[52,419,341,498,245,380,337,33,3,2,15,16])).
% 4.22/4.26 cnf(516,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),f4(a2,a1,a1)),f4(a2,f6(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[52,510,494,419,341,498,245,380,337,33,3,2,15,16,14])).
% 4.22/4.26 cnf(518,plain,
% 4.22/4.26 (P7(f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[52,510,494,503,419,341,498,245,380,337,33,3,2,15,16,14,28])).
% 4.22/4.26 cnf(521,plain,
% 4.22/4.26 (P6(f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[50,52,510,494,408,503,419,341,498,245,114,380,337,33,3,2,15,16,14,28,17,21])).
% 4.22/4.26 cnf(534,plain,
% 4.22/4.26 (P7(f4(a2,f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[521,426,518,453,27,135,29,18])).
% 4.22/4.26 cnf(535,plain,
% 4.22/4.26 (E(f4(x5351,x5352,x5353),f4(x5351,x5352,f4(a2,x5353,a1)))),
% 4.22/4.26 inference(rename_variables,[],[453])).
% 4.22/4.26 cnf(536,plain,
% 4.22/4.26 (P1(f4(f4(a2,a2,a1),a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[52,521,426,518,501,453,27,135,29,18,13])).
% 4.22/4.26 cnf(539,plain,
% 4.22/4.26 (E(f4(x5391,x5392,x5393),f4(x5391,x5392,f4(a2,x5393,a1)))),
% 4.22/4.26 inference(rename_variables,[],[453])).
% 4.22/4.26 cnf(544,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f4(a2,f6(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[52,521,426,406,518,501,516,512,334,453,535,424,98,43,27,135,29,18,13,21,20,33,32])).
% 4.22/4.26 cnf(546,plain,
% 4.22/4.26 (~E(f4(a2,f8(a5),f4(a2,a1,a1)),f4(f4(a2,a2,a1),f6(a5),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[52,521,426,406,518,501,516,465,512,334,453,535,539,424,98,43,27,135,29,18,13,21,20,33,32,3])).
% 4.22/4.26 cnf(548,plain,
% 4.22/4.26 (E(f3(x5481,x5482,x5483),f3(f4(a2,x5481,a1),x5482,f4(a2,x5483,a1)))),
% 4.22/4.26 inference(scs_inference,[],[52,521,426,406,518,501,516,465,491,512,334,453,535,539,424,98,43,27,135,29,18,13,21,20,33,32,3,2])).
% 4.22/4.26 cnf(549,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f4(a2,a2,a1),f4(a2,a1,a1)),f3(f7(a5),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[49,52,521,426,487,406,518,501,516,465,491,512,334,453,535,539,424,98,43,27,135,29,18,13,21,20,33,32,3,2,15])).
% 4.22/4.26 cnf(550,plain,
% 4.22/4.26 (E(f3(x5501,x5502,f4(a2,x5503,a1)),f3(x5501,x5502,x5503))),
% 4.22/4.26 inference(rename_variables,[],[49])).
% 4.22/4.26 cnf(554,plain,
% 4.22/4.26 (P3(f4(f4(a2,a2,a1),a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[49,550,52,521,426,487,406,518,501,516,465,414,491,512,334,453,535,539,364,424,98,43,27,135,29,18,13,21,20,33,32,3,2,15,14,16,26])).
% 4.22/4.26 cnf(564,plain,
% 4.22/4.26 (E(f4(x5641,f4(a2,x5642,a1),f4(a2,x5643,a1)),f4(x5641,x5642,x5643))),
% 4.22/4.26 inference(scs_inference,[],[53,52,549,210,354,337,41,34,33,32,3])).
% 4.22/4.26 cnf(565,plain,
% 4.22/4.26 (E(f4(x5651,f4(a2,x5652,a1),x5653),f4(x5651,x5652,x5653))),
% 4.22/4.26 inference(rename_variables,[],[53])).
% 4.22/4.26 cnf(566,plain,
% 4.22/4.26 (~E(f4(f4(a2,a2,a1),f6(a5),f4(a2,a1,a1)),f4(a2,f8(a5),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[53,52,549,546,210,354,337,41,34,33,32,3,2])).
% 4.22/4.26 cnf(567,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f6(a5),f4(a2,a1,a1)),f7(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[53,52,549,546,339,210,55,354,337,41,34,33,32,3,2,15])).
% 4.22/4.26 cnf(571,plain,
% 4.22/4.26 (P2(f6(f4(a2,a5,a1)),f8(a5),f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[53,565,52,549,546,468,474,339,452,210,55,354,337,41,34,33,32,3,2,15,16,14])).
% 4.22/4.26 cnf(574,plain,
% 4.22/4.26 (P2(f6(a5),f8(f4(a2,a5,a1)),f4(a2,f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[53,565,52,554,549,546,476,468,474,339,452,210,55,354,337,41,34,33,32,3,2,15,16,14,125,126])).
% 4.22/4.26 cnf(578,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),a1),f4(f4(a2,a2,a1),f8(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[567,512,152,337,41,34,32])).
% 4.22/4.26 cnf(580,plain,
% 4.22/4.26 (E(f3(x5801,f4(a2,x5802,a1),x5803),f3(f4(a2,x5801,a1),x5802,f4(a2,x5803,a1)))),
% 4.22/4.26 inference(scs_inference,[],[50,548,567,512,152,337,41,34,32,3])).
% 4.22/4.26 cnf(582,plain,
% 4.22/4.26 (E(f4(x5821,x5822,x5823),f4(x5821,f4(a2,x5822,a1),f4(a2,x5823,a1)))),
% 4.22/4.26 inference(scs_inference,[],[50,548,564,567,512,152,337,41,34,32,3,2])).
% 4.22/4.26 cnf(583,plain,
% 4.22/4.26 (P2(f4(a2,a2,a1),f3(f7(a5),f8(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[50,548,564,567,507,512,152,337,41,34,32,3,2,15])).
% 4.22/4.26 cnf(585,plain,
% 4.22/4.26 (P2(f4(f4(a2,a2,a1),f8(a5),a1),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[50,52,548,564,567,514,507,512,152,337,41,34,32,3,2,15,16])).
% 4.22/4.26 cnf(587,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),f4(a2,a1,a1)),f7(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[50,52,548,564,567,514,507,512,454,152,337,41,34,32,3,2,15,16,14])).
% 4.22/4.26 cnf(589,plain,
% 4.22/4.26 (P6(f4(f4(a2,a2,a1),a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[50,52,536,548,564,567,514,507,512,454,152,337,41,34,32,3,2,15,16,14,30])).
% 4.22/4.26 cnf(594,plain,
% 4.22/4.26 (E(f4(x5941,x5942,x5943),f4(x5941,f4(a2,x5942,a1),f4(a2,x5943,a1)))),
% 4.22/4.26 inference(rename_variables,[],[582])).
% 4.22/4.26 cnf(595,plain,
% 4.22/4.26 (P2(f4(f4(a2,a2,a1),f8(a5),f4(a2,a1,a1)),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[583,582,337,17,34])).
% 4.22/4.26 cnf(598,plain,
% 4.22/4.26 (E(f4(f4(a2,x5981,a1),x5982,x5983),f4(x5981,x5982,x5983))),
% 4.22/4.26 inference(rename_variables,[],[54])).
% 4.22/4.26 cnf(602,plain,
% 4.22/4.26 (P2(f4(a2,a2,a1),f3(f7(a5),f8(a5),f4(a2,a1,a1)),f4(a2,f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[54,598,583,544,566,582,594,337,17,34,3,2,15,16])).
% 4.22/4.26 cnf(603,plain,
% 4.22/4.26 (E(f4(x6031,x6032,x6033),f4(x6031,f4(a2,x6032,a1),f4(a2,x6033,a1)))),
% 4.22/4.26 inference(rename_variables,[],[582])).
% 4.22/4.26 cnf(604,plain,
% 4.22/4.26 (~P2(f8(a5),f4(a2,f6(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[54,598,583,544,566,582,594,161,337,17,34,3,2,15,16,14])).
% 4.22/4.26 cnf(607,plain,
% 4.22/4.26 (P1(f4(a2,f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[54,598,583,544,566,582,594,603,580,332,161,337,17,34,3,2,15,16,14,18,13])).
% 4.22/4.26 cnf(608,plain,
% 4.22/4.26 (E(f4(x6081,x6082,x6083),f4(x6081,f4(a2,x6082,a1),f4(a2,x6083,a1)))),
% 4.22/4.26 inference(rename_variables,[],[582])).
% 4.22/4.26 cnf(609,plain,
% 4.22/4.26 (P4(f4(a2,f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[54,598,583,544,566,582,594,603,608,580,332,343,161,337,17,34,3,2,15,16,14,18,13,20])).
% 4.22/4.26 cnf(618,plain,
% 4.22/4.26 (E(f4(f4(a2,x6181,a1),f4(a2,x6182,a1),x6183),f4(x6181,x6182,x6183))),
% 4.22/4.26 inference(scs_inference,[],[54,53,578,43,34,3])).
% 4.22/4.26 cnf(619,plain,
% 4.22/4.26 (E(f4(f4(a2,x6191,a1),x6192,x6193),f4(x6191,x6192,x6193))),
% 4.22/4.26 inference(rename_variables,[],[54])).
% 4.22/4.26 cnf(620,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f4(f4(a2,a2,a1),f8(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[54,619,53,496,578,43,34,3,15])).
% 4.22/4.26 cnf(621,plain,
% 4.22/4.26 (E(f4(f4(a2,x6211,a1),x6212,x6213),f4(x6211,x6212,x6213))),
% 4.22/4.26 inference(rename_variables,[],[54])).
% 4.22/4.26 cnf(622,plain,
% 4.22/4.26 (E(f3(x6221,f4(a2,x6222,a1),x6223),f4(a2,f3(x6221,x6222,x6223),a1))),
% 4.22/4.26 inference(scs_inference,[],[54,619,53,496,308,578,43,34,3,15,2])).
% 4.22/4.26 cnf(623,plain,
% 4.22/4.26 (~P2(f8(a5),f4(a2,f6(a5),a1),f4(f4(a2,a2,a1),a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[54,619,621,53,496,604,308,578,43,34,3,15,2,16])).
% 4.22/4.26 cnf(624,plain,
% 4.22/4.26 (E(f4(f4(a2,x6241,a1),x6242,x6243),f4(x6241,x6242,x6243))),
% 4.22/4.26 inference(rename_variables,[],[54])).
% 4.22/4.26 cnf(625,plain,
% 4.22/4.26 (P2(f4(a2,f8(a5),a1),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[54,619,621,624,53,496,604,585,308,578,43,34,3,15,2,16,14])).
% 4.22/4.26 cnf(627,plain,
% 4.22/4.26 (P5(f4(f4(a2,a2,a1),a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[54,619,621,624,53,589,496,604,585,308,578,43,34,3,15,2,16,14,27])).
% 4.22/4.26 cnf(639,plain,
% 4.22/4.26 (P1(f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[52,607,13])).
% 4.22/4.26 cnf(640,plain,
% 4.22/4.26 (E(f4(x6401,x6402,f4(a2,x6403,a1)),f4(x6401,x6402,x6403))),
% 4.22/4.26 inference(rename_variables,[],[52])).
% 4.22/4.26 cnf(643,plain,
% 4.22/4.26 (~P2(a2,f3(f4(a2,f6(a5),a1),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[52,609,607,516,454,337,13,20,34])).
% 4.22/4.26 cnf(645,plain,
% 4.22/4.26 (E(f4(a2,f7(f4(a2,x6451,a1)),f4(a2,a1,a1)),f7(x6451))),
% 4.22/4.26 inference(scs_inference,[],[52,55,609,607,516,364,454,337,13,20,34,3])).
% 4.22/4.26 cnf(647,plain,
% 4.22/4.26 (P2(f6(f4(a2,a5,a1)),f8(a5),a1)),
% 4.22/4.26 inference(scs_inference,[],[52,55,478,609,607,516,364,56,454,337,13,20,34,3,15])).
% 4.22/4.26 cnf(649,plain,
% 4.22/4.26 (P2(f4(a2,a2,a1),f3(f7(a5),f8(a5),f4(a2,a1,a1)),f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[52,640,55,602,478,609,607,516,364,56,454,337,13,20,34,3,15,16])).
% 4.22/4.26 cnf(651,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),a2,a1),f3(f7(a5),f6(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[52,640,55,602,478,609,487,607,516,582,364,56,454,337,13,20,34,3,15,16,14])).
% 4.22/4.26 cnf(653,plain,
% 4.22/4.26 (P7(f4(f4(a2,a2,a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[52,640,55,602,478,609,487,607,516,582,364,56,454,337,13,20,34,3,15,16,14,28])).
% 4.22/4.26 cnf(655,plain,
% 4.22/4.26 (P2(a2,f3(f7(a5),f8(a5),a1),f4(a2,f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[52,640,55,602,472,478,609,487,607,516,582,364,56,454,337,13,20,34,3,15,16,14,28,126])).
% 4.22/4.26 cnf(665,plain,
% 4.22/4.26 (P1(f4(a2,f4(a2,f4(a2,a1,a1),a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[639,582,13])).
% 4.22/4.26 cnf(669,plain,
% 4.22/4.26 (~E(f4(a2,f8(a5),f4(a2,a1,a1)),f6(a5))),
% 4.22/4.26 inference(scs_inference,[],[639,647,298,438,453,582,41,13,32,3])).
% 4.22/4.26 cnf(671,plain,
% 4.22/4.26 (~P2(a2,f3(f6(a5),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[639,643,647,298,438,451,453,582,41,13,32,3,15])).
% 4.22/4.26 cnf(675,plain,
% 4.22/4.26 (~P2(f8(a5),f4(f4(a2,a2,a1),f8(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[639,620,643,647,298,438,451,453,582,161,310,41,13,32,3,15,16,14])).
% 4.22/4.26 cnf(677,plain,
% 4.22/4.26 (P6(f4(a2,f4(a2,f4(a2,a1,a1),a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[639,620,643,647,298,438,451,453,582,161,310,41,13,32,3,15,16,14,30])).
% 4.22/4.26 cnf(679,plain,
% 4.22/4.26 (~E(f6(a5),f4(a2,f8(a5),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[639,620,643,647,298,438,451,453,582,161,310,41,13,32,3,15,16,14,30,2])).
% 4.22/4.26 cnf(680,plain,
% 4.22/4.26 (P4(f4(a2,f4(a2,f4(a2,a1,a1),a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[677,29])).
% 4.22/4.26 cnf(684,plain,
% 4.22/4.26 (E(f4(x6841,x6842,x6843),f4(f4(a2,x6841,a1),f4(a2,x6842,a1),x6843))),
% 4.22/4.26 inference(scs_inference,[],[677,618,578,354,41,29,32,2])).
% 4.22/4.26 cnf(685,plain,
% 4.22/4.26 (E(f3(f4(a2,x6851,a1),f4(a2,x6852,a1),f4(a2,x6853,a1)),f4(a2,f3(x6851,x6852,x6853),a1))),
% 4.22/4.26 inference(scs_inference,[],[677,618,622,491,578,354,41,29,32,2,3])).
% 4.22/4.26 cnf(688,plain,
% 4.22/4.26 (E(f4(x6881,f4(a2,x6882,a1),x6883),f4(x6881,x6882,x6883))),
% 4.22/4.26 inference(rename_variables,[],[53])).
% 4.22/4.26 cnf(689,plain,
% 4.22/4.26 (~P2(f8(a5),f4(a2,f6(a5),a1),f4(f4(a2,a2,a1),f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[53,688,677,618,623,675,622,491,578,354,41,29,32,2,3,15,16])).
% 4.22/4.26 cnf(691,plain,
% 4.22/4.26 (P2(f4(a2,f8(a5),f4(a2,a1,a1)),f7(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[53,688,54,677,595,618,623,675,622,491,578,354,41,29,32,2,3,15,16,14])).
% 4.22/4.26 cnf(693,plain,
% 4.22/4.26 (P2(a2,f3(f7(a5),f8(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[53,688,54,677,595,618,623,675,622,491,578,354,337,41,29,32,2,3,15,16,14,33])).
% 4.22/4.26 cnf(699,plain,
% 4.22/4.26 (E(f4(x6991,x6992,x6993),f4(f4(a2,x6991,a1),f4(a2,x6992,a1),x6993))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(700,plain,
% 4.22/4.26 (P1(f4(f4(a2,a2,a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[684,699,432,404,17,13])).
% 4.22/4.26 cnf(701,plain,
% 4.22/4.26 (E(f4(x7011,x7012,x7013),f4(f4(a2,x7011,a1),f4(a2,x7012,a1),x7013))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(702,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),f4(a2,a1,a1)),f6(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[684,699,671,432,404,337,17,13,33])).
% 4.22/4.26 cnf(704,plain,
% 4.22/4.26 (~P2(f3(f7(a5),f8(a5),f4(a2,a1,a1)),f3(f6(a5),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[684,699,693,671,432,404,334,337,17,13,33,32])).
% 4.22/4.26 cnf(706,plain,
% 4.22/4.26 (P2(f4(a2,f6(a5),f4(a2,a1,a1)),f8(a5),a1)),
% 4.22/4.26 inference(scs_inference,[],[56,445,684,699,693,671,432,404,334,337,17,13,33,32,15])).
% 4.22/4.26 cnf(709,plain,
% 4.22/4.26 (E(f4(x7091,f4(a2,x7092,a1),x7093),f4(x7091,x7092,x7093))),
% 4.22/4.26 inference(rename_variables,[],[53])).
% 4.22/4.26 cnf(710,plain,
% 4.22/4.26 (P2(f4(a2,f8(a5),f4(a2,a1,a1)),f7(a5),f4(f4(a2,a2,a1),f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[53,56,445,684,699,701,691,693,679,671,432,404,334,337,17,13,33,32,15,3,16])).
% 4.22/4.26 cnf(711,plain,
% 4.22/4.26 (E(f4(x7111,x7112,x7113),f4(f4(a2,x7111,a1),f4(a2,x7112,a1),x7113))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(716,plain,
% 4.22/4.26 (P6(f4(f4(a2,a2,a1),f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[53,709,56,445,651,684,699,701,711,691,693,679,671,360,432,677,404,334,337,17,13,33,32,15,3,16,14,27,21])).
% 4.22/4.26 cnf(717,plain,
% 4.22/4.26 (E(f4(x7171,x7172,x7173),f4(f4(a2,x7171,a1),f4(a2,x7172,a1),x7173))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(718,plain,
% 4.22/4.26 (P3(f4(f4(a2,a2,a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[53,709,56,445,651,684,699,701,711,717,691,693,679,671,360,427,432,677,404,334,337,17,13,33,32,15,3,16,14,27,21,19])).
% 4.22/4.26 cnf(722,plain,
% 4.22/4.26 (E(f4(x7221,x7222,x7223),f4(f4(a2,x7221,a1),f4(a2,x7222,a1),x7223))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(724,plain,
% 4.22/4.26 (E(f4(x7241,x7242,x7243),f4(f4(a2,x7241,a1),f4(a2,x7242,a1),x7243))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(728,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),f4(a2,a1,a1)),f6(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[57,704,645,702,534,684,722,609,337,18,20,33,2,15])).
% 4.22/4.26 cnf(729,plain,
% 4.22/4.26 (E(f6(f4(a2,x7291,a1)),f6(x7291))),
% 4.22/4.26 inference(rename_variables,[],[57])).
% 4.22/4.26 cnf(730,plain,
% 4.22/4.26 (~E(f4(f4(a2,a2,a1),f4(a2,f8(a5),a1),f4(a2,a1,a1)),f6(a5))),
% 4.22/4.26 inference(scs_inference,[],[57,704,669,645,702,534,684,722,724,609,337,18,20,33,2,15,3])).
% 4.22/4.26 cnf(732,plain,
% 4.22/4.26 (~P2(f8(a5),f4(a2,f6(a5),a1),f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[57,704,669,645,689,702,534,684,722,724,609,114,337,18,20,33,2,15,3,16])).
% 4.22/4.26 cnf(734,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f6(a5),f4(a2,a1,a1)),f6(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[54,57,704,669,645,689,702,534,684,722,724,609,114,337,18,20,33,2,15,3,16,14])).
% 4.22/4.26 cnf(741,plain,
% 4.22/4.26 (P2(f4(a2,f8(a5),a1),f7(a5),f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[54,57,718,680,665,704,669,645,625,689,702,534,684,722,724,609,114,337,18,20,33,2,15,3,16,14,26,28,125,126])).
% 4.22/4.26 cnf(745,plain,
% 4.22/4.26 (~P2(x7451,x7452,f4(f4(a2,a2,a1),f4(a2,a1,a1),f4(a2,a1,a1)))+~P2(x7452,x7453,f4(f4(a2,a2,a1),f4(a2,a1,a1),f4(a2,a1,a1)))+P2(x7451,x7453,f4(f4(a2,a2,a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[54,57,729,718,680,665,704,669,645,625,689,702,653,534,684,722,724,587,609,114,337,18,20,33,2,15,3,16,14,26,28,125,126,17,34,32])).
% 4.22/4.26 cnf(749,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),a1),f4(a2,f6(a5),f4(a2,a1,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[700,706,381,41,30,32])).
% 4.22/4.26 cnf(751,plain,
% 4.22/4.26 (~P2(f8(a5),f4(f4(a2,a2,a1),f6(a5),a1),f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[54,700,732,706,381,41,30,32,15])).
% 4.22/4.26 cnf(752,plain,
% 4.22/4.26 (E(f4(f4(a2,x7521,a1),x7522,x7523),f4(x7521,x7522,x7523))),
% 4.22/4.26 inference(rename_variables,[],[54])).
% 4.22/4.26 cnf(754,plain,
% 4.22/4.26 (E(f4(f4(a2,x7541,a1),x7542,f4(a2,a2,a1)),f4(a2,f4(x7541,x7542,a2),a1))),
% 4.22/4.26 inference(scs_inference,[],[54,752,700,732,493,730,706,381,41,30,32,15,2,3])).
% 4.22/4.26 cnf(765,plain,
% 4.22/4.26 (P1(f4(f4(a2,a2,a1),f4(a2,f4(a2,a1,a1),a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[700,98,13])).
% 4.22/4.26 cnf(767,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f6(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[728,700,98,424,334,13,32])).
% 4.22/4.26 cnf(769,plain,
% 4.22/4.26 (P2(f6(a5),f8(a5),f4(a2,f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[56,728,574,700,98,424,334,13,32,15])).
% 4.22/4.26 cnf(772,plain,
% 4.22/4.26 (E(f3(x7721,x7722,x7723),f3(f4(a2,f4(a2,x7721,a1),a1),x7722,f4(a2,x7723,a1)))),
% 4.22/4.26 inference(scs_inference,[],[56,728,574,754,700,548,451,98,424,334,13,32,15,2,3])).
% 4.22/4.26 cnf(774,plain,
% 4.22/4.26 (P2(f6(f4(a2,a5,a1)),f8(a5),f4(f4(a2,a2,a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[56,728,574,571,754,700,548,451,684,98,424,334,13,32,15,2,3,16])).
% 4.22/4.26 cnf(776,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),a1),f6(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[56,728,574,571,754,700,548,451,684,453,98,424,334,13,32,15,2,3,16,14])).
% 4.22/4.26 cnf(780,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f4(a2,f6(a5),f4(a2,a1,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[749,354,41,32])).
% 4.22/4.26 cnf(782,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f8(f4(a2,a5,a1)),a1)),
% 4.22/4.26 inference(scs_inference,[],[56,749,438,354,41,32,15])).
% 4.22/4.26 cnf(786,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f4(a2,a2,a1),a1),f3(f8(a5),f6(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[59,56,749,466,618,564,438,354,41,32,15,16,14])).
% 4.22/4.26 cnf(792,plain,
% 4.22/4.26 (E(f3(f4(a2,f4(a2,x7921,a1),a1),x7922,f4(a2,x7923,a1)),f3(x7921,x7922,x7923))),
% 4.22/4.26 inference(scs_inference,[],[59,56,772,774,749,466,716,618,564,438,354,41,32,15,16,14,27,745,2])).
% 4.22/4.26 cnf(795,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f6(a5),f4(a2,a1,a1)),f6(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[57,734,647,381,41,32,15])).
% 4.22/4.26 cnf(797,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f6(a5),f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[57,414,734,647,381,364,41,32,15,16])).
% 4.22/4.26 cnf(802,plain,
% 4.22/4.26 (E(f3(f4(a2,x8021,a1),x8022,f4(a2,x8023,a1)),f3(x8021,f4(a2,x8022,a1),x8023))),
% 4.22/4.26 inference(scs_inference,[],[57,792,769,414,734,647,236,381,452,364,41,32,15,16,14,126,3])).
% 4.22/4.26 cnf(806,plain,
% 4.22/4.26 (E(f3(x8061,x8062,x8063),f3(f4(a2,x8061,a1),f4(a2,x8062,a1),x8063))),
% 4.22/4.26 inference(scs_inference,[],[802,772,3])).
% 4.22/4.26 cnf(808,plain,
% 4.22/4.26 (P2(f4(a2,f6(a5),f4(a2,a1,a1)),f8(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[56,802,772,424,3,15])).
% 4.22/4.26 cnf(810,plain,
% 4.22/4.26 (P2(f4(a2,a2,a1),f3(f7(a5),f8(a5),f4(a2,a1,a1)),f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[56,649,802,772,128,424,3,15,16])).
% 4.22/4.26 cnf(812,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),a2,a1),f3(f7(a5),f6(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[56,649,802,246,772,128,582,424,3,15,16,14])).
% 4.22/4.26 cnf(814,plain,
% 4.22/4.26 (P6(f4(f4(a2,a2,a1),f4(a2,f4(a2,a1,a1),a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[56,765,649,802,246,772,128,582,424,3,15,16,14,30])).
% 4.22/4.26 cnf(816,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f4(a2,a2,a1),a1),f3(f7(a5),f6(a5),a1),a1)),
% 4.22/4.26 inference(scs_inference,[],[56,765,649,802,299,246,772,128,582,424,43,3,15,16,14,30,33])).
% 4.22/4.26 cnf(822,plain,
% 4.22/4.26 (E(f4(x8221,x8222,x8223),f4(f4(a2,x8221,a1),f4(a2,x8222,a1),x8223))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(823,plain,
% 4.22/4.26 (P3(f4(f4(a2,f4(a2,a2,a1),a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[434,431,684,822,18,19])).
% 4.22/4.26 cnf(824,plain,
% 4.22/4.26 (E(f4(x8241,x8242,x8243),f4(f4(a2,x8241,a1),f4(a2,x8242,a1),x8243))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(827,plain,
% 4.22/4.26 (~P2(f4(f4(a2,a2,a1),f6(a5),f4(a2,a1,a1)),f4(a2,f8(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[816,434,625,339,431,684,822,334,43,18,19,33,32])).
% 4.22/4.26 cnf(829,plain,
% 4.22/4.26 (~P2(a2,f3(f4(a2,f7(a5),a1),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[59,816,434,625,339,431,491,684,822,334,43,18,19,33,32,15])).
% 4.22/4.26 cnf(833,plain,
% 4.22/4.26 (~P2(f8(a5),f6(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[59,767,751,816,434,625,339,431,491,684,822,128,161,334,43,18,19,33,32,15,16,14])).
% 4.22/4.26 cnf(835,plain,
% 4.22/4.26 (~P2(f8(a5),f4(f4(a2,a2,a1),f6(a5),a1),f4(f4(a2,a2,a1),a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[59,767,751,816,434,625,339,431,491,684,822,128,161,334,43,18,19,33,32,15,16,14,126])).
% 4.22/4.26 cnf(836,plain,
% 4.22/4.26 (P6(f4(f4(a2,f4(a2,a2,a1),a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[59,767,751,816,434,505,625,339,431,491,684,822,824,128,161,334,43,18,19,33,32,15,16,14,126,21])).
% 4.22/4.26 cnf(837,plain,
% 4.22/4.26 (E(f4(x8371,x8372,x8373),f4(f4(a2,x8371,a1),f4(a2,x8372,a1),x8373))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(839,plain,
% 4.22/4.26 (E(f4(x8391,x8392,x8393),f4(f4(a2,x8391,a1),f4(a2,x8392,a1),x8393))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(840,plain,
% 4.22/4.26 (P4(f4(f4(a2,f4(a2,a2,a1),a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[59,767,751,816,627,434,505,625,339,503,431,491,684,822,824,837,839,128,161,334,43,18,19,33,32,15,16,14,126,21,17,20])).
% 4.22/4.26 cnf(841,plain,
% 4.22/4.26 (E(f4(x8411,x8412,x8413),f4(f4(a2,x8411,a1),f4(a2,x8412,a1),x8413))),
% 4.22/4.26 inference(rename_variables,[],[684])).
% 4.22/4.26 cnf(844,plain,
% 4.22/4.26 (P1(f4(f4(a2,f4(a2,a2,a1),a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[59,767,751,816,627,434,505,625,339,503,431,536,491,684,822,824,837,839,841,128,161,334,43,18,19,33,32,15,16,14,126,21,17,20,13,155])).
% 4.22/4.26 cnf(845,plain,
% 4.22/4.26 (P4(f4(f4(a2,f4(a2,a2,a1),a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[59,767,751,816,627,434,505,625,339,503,431,536,491,684,822,824,837,839,841,128,161,334,43,18,19,33,32,15,16,14,126,21,17,20,13,155,110])).
% 4.22/4.26 cnf(851,plain,
% 4.22/4.26 (P2(a2,f3(f8(a5),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[840,844,808,337,26,28,126,33])).
% 4.22/4.26 cnf(855,plain,
% 4.22/4.26 (~E(f4(a2,f8(a5),f4(a2,a1,a1)),f4(f4(a2,a2,a1),f6(a5),a1))),
% 4.22/4.26 inference(scs_inference,[],[59,840,844,808,89,453,334,337,26,28,126,33,32,3])).
% 4.22/4.26 cnf(856,plain,
% 4.22/4.26 (E(f4(x8561,x8562,x8563),f4(x8561,x8562,f4(a2,x8563,a1)))),
% 4.22/4.26 inference(rename_variables,[],[453])).
% 4.22/4.26 cnf(857,plain,
% 4.22/4.26 (~E(f8(f4(a2,a5,a1)),f4(a2,f6(a5),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[59,840,844,808,749,89,453,334,354,337,26,28,126,33,32,3,15])).
% 4.22/4.26 cnf(858,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f6(a5),f4(f4(a2,a2,a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[59,840,844,808,797,749,89,618,453,334,354,337,26,28,126,33,32,3,15,16])).
% 4.22/4.26 cnf(866,plain,
% 4.22/4.26 (~P2(f4(a2,a2,a1),f3(f4(a2,f8(a5),a1),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[59,61,814,840,844,827,808,797,749,89,618,453,856,334,354,337,26,28,126,33,32,3,15,16,14,745,27,34])).
% 4.22/4.26 cnf(869,plain,
% 4.22/4.26 (E(f4(x8691,x8692,f4(a2,x8693,a1)),f4(x8691,x8692,x8693))),
% 4.22/4.26 inference(rename_variables,[],[52])).
% 4.22/4.26 cnf(872,plain,
% 4.22/4.26 (E(f4(a2,f3(x8721,x8722,x8723),a1),f3(f4(a2,x8721,a1),f4(a2,x8722,a1),f4(a2,x8723,a1)))),
% 4.22/4.26 inference(scs_inference,[],[59,61,814,840,823,844,827,808,797,685,749,89,618,453,856,334,354,52,869,337,26,28,126,33,32,3,15,16,14,745,27,34,19,20,2])).
% 4.22/4.26 cnf(873,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f6(a5),f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[858,126])).
% 4.22/4.26 cnf(876,plain,
% 4.22/4.26 (~P2(f4(a2,a2,a1),f3(f6(f4(a2,a5,a1)),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[795,858,836,53,337,126,21,34])).
% 4.22/4.26 cnf(878,plain,
% 4.22/4.26 (P1(f4(f4(a2,a2,a1),f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[795,858,836,844,129,53,337,126,21,34,13])).
% 4.22/4.26 cnf(884,plain,
% 4.22/4.26 (~E(f4(f4(a2,a2,a1),f6(a5),a1),f4(a2,f8(a5),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[855,795,858,812,836,782,844,129,53,354,337,43,41,126,21,34,13,33,32,2])).
% 4.22/4.26 cnf(885,plain,
% 4.22/4.26 (E(f3(x8851,x8852,x8853),f3(f4(a2,f4(a2,x8851,a1),a1),f4(a2,x8852,a1),f4(a2,x8853,a1)))),
% 4.22/4.26 inference(scs_inference,[],[855,795,858,812,836,806,782,844,548,129,53,354,337,43,41,126,21,34,13,33,32,2,3])).
% 4.22/4.26 cnf(888,plain,
% 4.22/4.26 (P2(f4(a2,f8(a5),a1),f7(a5),f4(a2,a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[61,855,795,858,812,836,806,782,844,548,129,380,53,354,337,43,41,126,21,34,13,33,32,2,3,16])).
% 4.22/4.26 cnf(893,plain,
% 4.22/4.26 (~P2(f4(a2,f6(a5),f4(a2,a1,a1)),f4(a2,f7(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[888,829,337,126,33])).
% 4.22/4.26 cnf(895,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f7(a5),a1)),
% 4.22/4.26 inference(scs_inference,[],[64,888,829,354,337,41,126,33,32])).
% 4.22/4.26 cnf(897,plain,
% 4.22/4.26 (E(f3(f4(a2,f4(a2,x8971,a1),a1),f4(a2,x8972,a1),f4(a2,x8973,a1)),f3(x8971,x8972,x8973))),
% 4.22/4.26 inference(scs_inference,[],[64,885,888,829,354,337,41,126,33,32,2])).
% 4.22/4.26 cnf(898,plain,
% 4.22/4.26 (~E(f4(f4(a2,a2,a1),f6(a5),a1),f8(a5))),
% 4.22/4.26 inference(scs_inference,[],[64,884,885,888,829,380,354,337,41,126,33,32,2,3])).
% 4.22/4.26 cnf(907,plain,
% 4.22/4.26 (~P2(f8(a5),f4(a2,f7(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[893,808,334,32])).
% 4.22/4.26 cnf(912,plain,
% 4.22/4.26 (~E(f4(f4(a2,a2,a1),f4(a2,f6(a5),a1),f4(a2,a1,a1)),f8(a5))),
% 4.22/4.26 inference(scs_inference,[],[69,893,857,898,655,808,582,334,32,2,15,3])).
% 4.22/4.26 cnf(929,plain,
% 4.22/4.26 (~P2(f4(a2,a2,a1),f3(f4(a2,f8(a5),a1),f6(a5),a1),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[69,845,866,893,424,334,28,32,15])).
% 4.22/4.26 cnf(930,plain,
% 4.22/4.26 (E(f3(x9301,x9302,x9303),f3(x9301,x9302,f4(a2,x9303,a1)))),
% 4.22/4.26 inference(rename_variables,[],[69])).
% 4.22/4.26 cnf(931,plain,
% 4.22/4.26 (E(f4(x9311,f4(a2,x9312,a1),x9313),f4(f4(a2,x9311,a1),x9312,f4(a2,x9313,a1)))),
% 4.22/4.26 inference(scs_inference,[],[69,845,866,893,129,424,334,28,32,15,2])).
% 4.22/4.26 cnf(932,plain,
% 4.22/4.26 (E(f3(f4(a2,f4(a2,x9321,a1),a1),f4(a2,x9322,a1),x9323),f3(x9321,x9322,x9323))),
% 4.22/4.26 inference(scs_inference,[],[69,930,845,866,897,893,129,424,334,28,32,15,2,3])).
% 4.22/4.26 cnf(934,plain,
% 4.22/4.26 (P2(f4(a2,a2,a1),f3(f7(a5),f8(a5),f4(a2,a1,a1)),f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[69,930,810,845,866,897,893,454,129,424,334,28,32,15,2,3,16])).
% 4.22/4.26 cnf(943,plain,
% 4.22/4.26 (P2(f4(a2,a2,a1),f3(f7(a5),f8(a5),f4(a2,a1,a1)),f4(f4(a2,a2,a1),f4(a2,a1,a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[934,126])).
% 4.22/4.26 cnf(944,plain,
% 4.22/4.26 (~E(f8(f4(a2,a5,a1)),f7(a5))),
% 4.22/4.26 inference(scs_inference,[],[64,934,354,126,15])).
% 4.22/4.26 cnf(945,plain,
% 4.22/4.26 (~E(f8(a5),f4(f4(a2,a2,a1),f4(a2,f6(a5),a1),f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[64,934,912,354,126,15,2])).
% 4.22/4.26 cnf(946,plain,
% 4.22/4.26 (E(f3(f4(a2,x9461,a1),x9462,x9463),f3(x9461,f4(a2,x9462,a1),x9463))),
% 4.22/4.26 inference(scs_inference,[],[69,64,934,912,802,354,126,15,2,3])).
% 4.22/4.26 cnf(949,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f6(a5),f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[69,64,934,873,931,912,802,354,126,15,2,3,16])).
% 4.22/4.26 cnf(951,plain,
% 4.22/4.26 (~P2(f8(a5),f6(a5),f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.26 inference(scs_inference,[],[69,64,934,873,931,912,802,161,354,126,15,2,3,16,14])).
% 4.22/4.26 cnf(959,plain,
% 4.22/4.26 (~P2(f8(f4(a2,a5,a1)),f6(a5),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[949,126])).
% 4.22/4.26 cnf(960,plain,
% 4.22/4.26 (P2(a2,f3(f7(f4(a2,a5,a1)),f8(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[69,949,349,126,15])).
% 4.22/4.26 cnf(963,plain,
% 4.22/4.26 (~P2(f8(a5),f4(a2,f7(a5),a1),f4(f4(a2,a2,a1),f4(a2,a1,a1),a1))),
% 4.22/4.26 inference(scs_inference,[],[69,907,946,949,349,618,126,15,2,16])).
% 4.22/4.26 cnf(965,plain,
% 4.22/4.26 (P2(f4(a2,a2,f4(a2,a1,a1)),f3(f8(a5),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.26 inference(scs_inference,[],[69,907,946,949,349,851,618,380,126,15,2,16,14])).
% 4.22/4.26 cnf(966,plain,
% 4.22/4.26 (E(x9661,f4(a2,x9661,f4(a2,a1,a1)))),
% 4.22/4.27 inference(rename_variables,[],[380])).
% 4.22/4.27 cnf(969,plain,
% 4.22/4.27 (P1(f4(a2,f4(f4(a2,a2,a1),f4(a2,a1,a1),a1),f4(a2,a1,a1)))),
% 4.22/4.27 inference(scs_inference,[],[69,943,907,946,949,349,878,851,618,380,966,126,15,2,16,14,745,13])).
% 4.22/4.27 cnf(971,plain,
% 4.22/4.27 (~P2(f4(f4(f4(a2,a2,a1),f4(a2,a2,a1),a1),f6(a5),a1),f8(a5),a1)),
% 4.22/4.27 inference(scs_inference,[],[69,943,907,946,949,349,786,878,851,618,380,966,43,126,15,2,16,14,745,13,33])).
% 4.22/4.27 cnf(977,plain,
% 4.22/4.27 (~P2(f4(f4(f4(a2,a2,a1),f4(a2,a2,a1),a1),f6(a5),a1),f6(a5),a1)),
% 4.22/4.27 inference(scs_inference,[],[971,111])).
% 4.22/4.27 cnf(981,plain,
% 4.22/4.27 (P6(f4(a2,f4(f4(a2,a2,a1),f4(a2,a1,a1),a1),f4(a2,a1,a1)))),
% 4.22/4.27 inference(scs_inference,[],[969,971,111,26,30])).
% 4.22/4.27 cnf(983,plain,
% 4.22/4.27 (P2(a2,f3(f7(a5),f8(a5),a1),f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.27 inference(scs_inference,[],[969,971,330,111,26,30,126])).
% 4.22/4.27 cnf(991,plain,
% 4.22/4.27 (P2(f6(a5),f8(f4(a2,a5,a1)),f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.27 inference(scs_inference,[],[69,336,876,969,944,971,330,232,931,587,808,334,337,111,26,30,126,33,32,2,15,16])).
% 4.22/4.27 cnf(995,plain,
% 4.22/4.27 (P4(f4(a2,f4(f4(a2,a2,a1),f4(a2,a1,a1),a1),f4(a2,a1,a1)))),
% 4.22/4.27 inference(scs_inference,[],[69,780,336,876,969,944,971,330,232,931,587,808,161,334,337,111,26,30,126,33,32,2,15,16,14,29])).
% 4.22/4.27 cnf(1007,plain,
% 4.22/4.27 (~P2(f4(a2,f8(a5),f4(a2,a1,a1)),f6(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.27 inference(scs_inference,[],[965,833,932,963,981,452,454,364,337,21,126,33,2,15,14])).
% 4.22/4.27 cnf(1011,plain,
% 4.22/4.27 (P5(f4(a2,f4(f4(a2,a2,a1),f4(a2,a1,a1),a1),f4(a2,a1,a1)))),
% 4.22/4.27 inference(scs_inference,[],[965,833,932,963,981,951,931,452,454,364,337,21,126,33,2,15,14,16,27])).
% 4.22/4.27 cnf(1015,plain,
% 4.22/4.27 (E(f3(f4(a2,x10151,a1),x10152,x10153),f3(x10151,f4(a2,x10152,a1),f4(a2,x10153,a1)))),
% 4.22/4.27 inference(scs_inference,[],[69,965,833,932,741,963,981,951,946,426,931,452,454,364,337,21,126,33,2,15,14,16,27,32,3])).
% 4.22/4.27 cnf(1018,plain,
% 4.22/4.27 (~P2(a2,f3(f6(f4(a2,a5,a1)),f8(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.27 inference(scs_inference,[],[1007,337,34])).
% 4.22/4.27 cnf(1025,plain,
% 4.22/4.27 (E(f3(x10251,x10252,x10253),f3(x10251,x10252,f4(a2,x10253,a1)))),
% 4.22/4.27 inference(rename_variables,[],[69])).
% 4.22/4.27 cnf(1028,plain,
% 4.22/4.27 (~E(f8(a5),f4(f4(a2,a2,a1),f6(a5),a1))),
% 4.22/4.27 inference(scs_inference,[],[69,1025,1007,995,991,983,685,898,454,337,34,126,20,3,15,2])).
% 4.22/4.27 cnf(1031,plain,
% 4.22/4.27 (P2(f4(a2,a2,a1),f3(f7(a5),f8(a5),a1),f4(a2,f4(a2,a1,a1),a1))),
% 4.22/4.27 inference(scs_inference,[],[69,1025,835,1007,995,991,983,685,898,564,454,310,337,34,126,20,3,15,2,16,14])).
% 4.22/4.27 cnf(1041,plain,
% 4.22/4.27 (~E(f8(f4(a2,a5,a1)),f4(f4(a2,a2,a1),f6(a5),a1))),
% 4.22/4.27 inference(scs_inference,[],[1028,977,161,43,34,3])).
% 4.22/4.27 cnf(1046,plain,
% 4.22/4.27 (P2(f4(a2,a2,a1),f3(f7(a5),f8(a5),a1),f4(f4(a2,a2,a1),a1,f4(a2,a1,a1)))),
% 4.22/4.27 inference(scs_inference,[],[69,1031,1015,1028,1018,977,931,161,43,34,3,15,2,16])).
% 4.22/4.27 cnf(1056,plain,
% 4.22/4.27 (P2(f4(a2,f8(a5),f4(a2,a1,a1)),f7(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.27 inference(scs_inference,[],[960,337,34])).
% 4.22/4.27 cnf(1060,plain,
% 4.22/4.27 (E(f4(a2,x10601,f4(a2,a1,a1)),x10601)),
% 4.22/4.27 inference(rename_variables,[],[364])).
% 4.22/4.27 cnf(1061,plain,
% 4.22/4.27 (E(f4(f4(a2,a2,a1),f3(x10611,x10612,x10613),a1),f3(f4(a2,x10611,a1),f4(a2,x10612,a1),f4(a2,x10613,a1)))),
% 4.22/4.27 inference(scs_inference,[],[1046,959,872,960,364,54,337,34,126,15,3])).
% 4.22/4.27 cnf(1066,plain,
% 4.22/4.27 (~P2(f4(a2,f8(f4(a2,a5,a1)),f4(a2,a1,a1)),f6(a5),f4(a2,a1,a1))),
% 4.22/4.27 inference(scs_inference,[],[74,1046,1041,959,872,960,618,364,1060,54,337,34,126,15,3,2,16,14])).
% 4.22/4.27 cnf(1088,plain,
% 4.22/4.27 (P2(f4(a2,f4(a2,a2,a1),a1),f3(f7(a5),f8(a5),a1),a1)),
% 4.22/4.27 inference(scs_inference,[],[895,1056,945,1011,1061,1066,449,328,1007,114,98,454,364,380,334,337,17,34,32,15,3,2,16,14])).
% 4.22/4.27 cnf(1135,plain,
% 4.22/4.27 (E(f4(f4(a2,a2,a1),f3(x11351,x11352,x11353),a1),f3(f4(a2,x11351,a1),x11352,x11353))),
% 4.22/4.27 inference(scs_inference,[],[78,84,1061,43,33,3])).
% 4.22/4.27 cnf(1155,plain,
% 4.22/4.27 (~E(f8(f4(a2,a5,a1)),f7(f4(a2,a5,a1)))),
% 4.22/4.27 inference(scs_inference,[],[944,786,1088,55,43,34,33,3])).
% 4.22/4.27 cnf(1157,plain,
% 4.22/4.27 (~P2(f4(a2,a2,a1),f3(f8(a5),f6(a5),f4(a2,a1,a1)),f4(a2,a1,a1))),
% 4.22/4.27 inference(scs_inference,[],[929,944,786,219,1088,55,43,34,33,3,15])).
% 4.22/4.27 cnf(1162,plain,
% 4.22/4.27 (~P2(f4(f4(a2,a2,a1),f6(a5),a1),f6(f4(a2,a5,a1)),f4(a2,a1,a1))),
% 4.22/4.27 inference(scs_inference,[],[776,1135,710,929,944,786,219,1088,128,55,54,43,34,33,3,15,2,16,14])).
% 4.22/4.27 cnf(1178,plain,
% 4.22/4.27 ($false),
% 4.22/4.27 inference(scs_inference,[],[1157,1162,1155,851,452,310,334,337,33,32,15,2,14]),
% 4.22/4.27 ['proof']).
% 4.22/4.27 % SZS output end Proof
% 4.22/4.27 % Total time :3.620000s
%------------------------------------------------------------------------------