TSTP Solution File: ANA018-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ANA018-2 : 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 : n025.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 17:13:19 EDT 2023
% Result : Unsatisfiable 122.76s 122.91s
% Output : CNFRefutation 122.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA018-2 : 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
% 0.13/0.34 % Computer : n025.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 : Fri Aug 25 18:20:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 122.76/122.90 %-------------------------------------------
% 122.76/122.90 % File :CSE---1.6
% 122.76/122.90 % Problem :theBenchmark
% 122.76/122.90 % Transform :cnf
% 122.76/122.90 % Format :tptp:raw
% 122.76/122.90 % Command :java -jar mcs_scs.jar %d %s
% 122.76/122.90
% 122.76/122.90 % Result :Theorem 122.260000s
% 122.76/122.90 % Output :CNFRefutation 122.260000s
% 122.76/122.90 %-------------------------------------------
% 122.76/122.91 %------------------------------------------------------------------------------
% 122.76/122.91 % File : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% 122.76/122.91 % Domain : Analysis
% 122.76/122.91 % Problem : Problem about Big-O notation
% 122.76/122.91 % Version : [Pau06] axioms : Reduced > Especial.
% 122.76/122.91 % English :
% 122.76/122.91
% 122.76/122.91 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 122.76/122.91 % Source : [Pau06]
% 122.76/122.91 % Names :
% 122.76/122.91
% 122.76/122.91 % Status : Unsatisfiable
% 122.76/122.91 % 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
% 122.76/122.91 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 122.76/122.91 % Number of literals : 26 ( 1 equ; 14 neg)
% 122.76/122.91 % Maximal clause size : 4 ( 2 avg)
% 122.76/122.91 % Maximal term depth : 4 ( 1 avg)
% 122.76/122.91 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 122.76/122.91 % Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% 122.76/122.91 % Number of variables : 21 ( 0 sgn)
% 122.76/122.91 % SPC : CNF_UNS_RFO_SEQ_HRN
% 122.76/122.91
% 122.76/122.91 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 122.76/122.91 % of which only a small selection are required for the refutation.
% 122.76/122.91 % The mission is to find those few axioms, after which a refutation
% 122.76/122.91 % can be quite easily found. This version has only the necessary
% 122.76/122.91 % axioms.
% 122.76/122.91 %------------------------------------------------------------------------------
% 122.76/122.91 cnf(cls_conjecture_1,negated_conjecture,
% 122.76/122.91 c_lessequals(c_HOL_Oabs(v_f(V_U),t_b),c_times(v_c,c_HOL_Oabs(v_g(V_U),t_b),t_b),t_b) ).
% 122.76/122.91
% 122.76/122.91 cnf(cls_conjecture_2,negated_conjecture,
% 122.76/122.91 c_less(c_0,v_ca,t_b) ).
% 122.76/122.91
% 122.76/122.91 cnf(cls_conjecture_3,negated_conjecture,
% 122.76/122.91 c_lessequals(c_HOL_Oabs(v_x(V_U),t_b),c_times(v_ca,c_HOL_Oabs(v_f(V_U),t_b),t_b),t_b) ).
% 122.76/122.91
% 122.76/122.91 cnf(cls_conjecture_4,negated_conjecture,
% 122.76/122.91 ~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b) ).
% 122.76/122.91
% 122.76/122.91 cnf(tfree_tcs,negated_conjecture,
% 122.76/122.91 class_Ring__and__Field_Oordered__idom(t_b) ).
% 122.76/122.91
% 122.76/122.91 cnf(cls_OrderedGroup_Omult__ac__1_0,axiom,
% 122.76/122.91 ( ~ class_OrderedGroup_Osemigroup__mult(T_a)
% 122.76/122.91 | c_times(c_times(V_a,V_b,T_a),V_c,T_a) = c_times(V_a,c_times(V_b,V_c,T_a),T_a) ) ).
% 122.76/122.91
% 122.76/122.91 cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
% 122.76/122.91 ( ~ class_Orderings_Oorder(T_a)
% 122.76/122.91 | ~ c_lessequals(V_y,V_z,T_a)
% 122.76/122.91 | ~ c_lessequals(V_x,V_y,T_a)
% 122.76/122.91 | c_lessequals(V_x,V_z,T_a) ) ).
% 122.76/122.91
% 122.76/122.91 cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
% 122.76/122.91 ( ~ class_Orderings_Oorder(T_a)
% 122.76/122.91 | ~ c_less(V_x,V_y,T_a)
% 122.76/122.91 | c_lessequals(V_x,V_y,T_a) ) ).
% 122.76/122.91
% 122.76/122.91 cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,axiom,
% 122.76/122.91 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 122.76/122.91 | ~ c_lessequals(V_a,V_b,T_a)
% 122.76/122.91 | ~ c_lessequals(c_0,V_c,T_a)
% 122.76/122.91 | c_lessequals(c_times(V_c,V_a,T_a),c_times(V_c,V_b,T_a),T_a) ) ).
% 122.76/122.91
% 122.76/122.91 cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
% 122.76/122.91 ( ~ class_LOrder_Ojoin__semilorder(T)
% 122.76/122.91 | class_Orderings_Oorder(T) ) ).
% 122.76/122.91
% 122.76/122.91 cnf(clsrel_Ring__and__Field_Oordered__idom_21,axiom,
% 122.76/122.91 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 122.76/122.91 | class_OrderedGroup_Osemigroup__mult(T) ) ).
% 122.76/122.91
% 122.76/122.91 cnf(clsrel_Ring__and__Field_Oordered__idom_35,axiom,
% 122.76/122.91 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 122.76/122.91 | class_LOrder_Ojoin__semilorder(T) ) ).
% 122.76/122.91
% 122.76/122.91 cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
% 122.76/122.91 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 122.76/122.91 | class_Ring__and__Field_Opordered__semiring(T) ) ).
% 122.76/122.91
% 122.76/122.91 %------------------------------------------------------------------------------
% 122.76/122.91 %-------------------------------------------
% 122.76/122.91 % Proof found
% 122.76/122.91 % SZS status Theorem for theBenchmark
% 122.76/122.92 % SZS output start Proof
% 122.76/122.92 %ClaNum:35(EqnAxiom:22)
% 122.76/122.92 %VarNum:53(SingletonVarNum:21)
% 122.76/122.92 %MaxLitNum:4
% 122.76/122.92 %MaxfuncDepth:3
% 122.76/122.92 %SharedTerms:14
% 122.76/122.92 %goalClause: 23 24 25 26 27
% 122.76/122.92 %singleGoalClaCount:5
% 122.76/122.92 [23]P1(a1)
% 122.76/122.92 [24]P2(a2,a5,a1)
% 122.76/122.92 [27]~P3(f3(f9(a10),a1),f4(f4(a5,a6,a1),f3(f8(a10),a1),a1),a1)
% 122.76/122.92 [25]P3(f3(f7(x251),a1),f4(a6,f3(f8(x251),a1),a1),a1)
% 122.76/122.92 [26]P3(f3(f9(x261),a1),f4(a5,f3(f7(x261),a1),a1),a1)
% 122.76/122.92 [28]~P1(x281)+P4(x281)
% 122.76/122.92 [29]~P5(x291)+P6(x291)
% 122.76/122.92 [30]~P1(x301)+P7(x301)
% 122.76/122.92 [31]~P1(x311)+P5(x311)
% 122.76/122.92 [34]~P4(x343)+E(f4(f4(x341,x342,x343),x344,x343),f4(x341,f4(x342,x344,x343),x343))
% 122.76/122.92 [32]~P6(x323)+~P2(x321,x322,x323)+P3(x321,x322,x323)
% 122.76/122.92 [33]~P6(x333)+~P3(x334,x332,x333)+P3(x331,x332,x333)+~P3(x331,x334,x333)
% 122.76/122.92 [35]~P7(x353)+~P3(x352,x354,x353)+~P3(a2,x351,x353)+P3(f4(x351,x352,x353),f4(x351,x354,x353),x353)
% 122.76/122.92 %EqnAxiom
% 122.76/122.92 [1]E(x11,x11)
% 122.76/122.92 [2]E(x22,x21)+~E(x21,x22)
% 122.76/122.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 122.76/122.92 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 122.76/122.92 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 122.76/122.92 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 122.76/122.92 [7]~E(x71,x72)+E(f8(x71),f8(x72))
% 122.76/122.92 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84))
% 122.76/122.92 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94))
% 122.76/122.92 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102))
% 122.76/122.92 [11]~E(x111,x112)+E(f9(x111),f9(x112))
% 122.76/122.92 [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 122.76/122.92 [13]P2(x132,x133,x134)+~E(x131,x132)+~P2(x131,x133,x134)
% 122.76/122.92 [14]P2(x143,x142,x144)+~E(x141,x142)+~P2(x143,x141,x144)
% 122.76/122.92 [15]P2(x153,x154,x152)+~E(x151,x152)+~P2(x153,x154,x151)
% 122.76/122.92 [16]P3(x162,x163,x164)+~E(x161,x162)+~P3(x161,x163,x164)
% 122.76/122.92 [17]P3(x173,x172,x174)+~E(x171,x172)+~P3(x173,x171,x174)
% 122.76/122.92 [18]P3(x183,x184,x182)+~E(x181,x182)+~P3(x183,x184,x181)
% 122.76/122.92 [19]~P4(x191)+P4(x192)+~E(x191,x192)
% 122.76/122.92 [20]~P6(x201)+P6(x202)+~E(x201,x202)
% 122.76/122.92 [21]~P5(x211)+P5(x212)+~E(x211,x212)
% 122.76/122.92 [22]~P7(x221)+P7(x222)+~E(x221,x222)
% 122.76/122.92
% 122.76/122.92 %-------------------------------------------
% 122.95/122.93 cnf(36,plain,
% 122.95/122.93 (P5(a1)),
% 122.95/122.93 inference(scs_inference,[],[23,31])).
% 122.95/122.93 cnf(37,plain,
% 122.95/122.93 (P7(a1)),
% 122.95/122.93 inference(scs_inference,[],[23,31,30])).
% 122.95/122.93 cnf(38,plain,
% 122.95/122.93 (P6(a1)),
% 122.95/122.93 inference(scs_inference,[],[23,31,30,29])).
% 122.95/122.93 cnf(42,plain,
% 122.95/122.93 (E(f4(f4(x421,x422,a1),x423,a1),f4(x421,f4(x422,x423,a1),a1))),
% 122.95/122.93 inference(scs_inference,[],[23,31,30,29,28,34])).
% 122.95/122.93 cnf(45,plain,
% 122.95/122.93 (P3(a2,a5,a1)),
% 122.95/122.93 inference(scs_inference,[],[23,24,31,30,29,28,34,22,32])).
% 122.95/122.93 cnf(47,plain,
% 122.95/122.93 (P3(f4(a5,a2,a1),f4(a5,a5,a1),a1)),
% 122.95/122.93 inference(scs_inference,[],[23,24,31,30,29,28,34,22,32,35])).
% 122.95/122.93 cnf(49,plain,
% 122.95/122.93 (E(f4(x491,f4(x492,x493,a1),a1),f4(f4(x491,x492,a1),x493,a1))),
% 122.95/122.93 inference(scs_inference,[],[23,24,31,30,29,28,34,22,32,35,2])).
% 122.95/122.93 cnf(62,plain,
% 122.95/122.93 (P3(f4(a5,f4(a5,a2,a1),a1),f4(a5,f4(a5,a5,a1),a1),a1)),
% 122.95/122.93 inference(scs_inference,[],[27,47,36,37,38,45,21,32,35])).
% 122.95/122.93 cnf(77,plain,
% 122.95/122.93 (~E(a1,x771)+P6(x771)),
% 122.95/122.93 inference(scs_inference,[],[38,20])).
% 122.95/122.93 cnf(89,plain,
% 122.95/122.93 (E(f4(x891,f4(x892,x893,a1),a1),f4(f4(x891,x892,a1),x893,a1))),
% 122.95/122.93 inference(rename_variables,[],[49])).
% 122.95/122.93 cnf(90,plain,
% 122.95/122.93 (P3(f4(a5,f4(a5,a2,a1),a1),f4(f4(a5,a5,a1),a5,a1),a1)),
% 122.95/122.93 inference(scs_inference,[],[49,89,62,16,17])).
% 122.95/122.93 cnf(99,plain,
% 122.95/122.93 (~E(a1,x991)+P1(x991)),
% 122.95/122.93 inference(scs_inference,[],[90,49,23,16,12])).
% 122.95/122.93 cnf(245,plain,
% 122.95/122.93 (E(f4(f4(x2451,f4(f4(x2452,x2453,a1),x2454,a1),x2455),x2456,x2457),f4(f4(x2451,f4(x2452,f4(x2453,x2454,a1),a1),x2455),x2456,x2457))),
% 122.95/122.93 inference(scs_inference,[],[42,8,9])).
% 122.95/122.93 cnf(302,plain,
% 122.95/122.93 (P3(a2,x3021,a1)+~E(a5,x3021)),
% 122.95/122.93 inference(scs_inference,[],[45,17])).
% 122.95/122.93 cnf(524,plain,
% 122.95/122.93 (P3(f4(a5,f4(a5,f4(a5,a2,a1),a1),a1),f4(a5,f4(f4(a5,a5,a1),a5,a1),a1),a1)),
% 122.95/122.93 inference(scs_inference,[],[23,90,45,30,35])).
% 122.95/122.93 cnf(551,plain,
% 122.95/122.93 (~P3(f4(a5,f3(f7(a10),a1),a1),f4(f4(a5,a6,a1),f3(f8(a10),a1),a1),a1)),
% 122.95/122.93 inference(scs_inference,[],[26,27,77,33])).
% 122.95/122.93 cnf(579,plain,
% 122.95/122.93 (E(f3(f4(f4(x5791,x5792,a1),x5793,a1),x5794),f3(f4(x5791,f4(x5792,x5793,a1),a1),x5794))),
% 122.95/122.93 inference(scs_inference,[],[49,2,5])).
% 122.95/122.93 cnf(580,plain,
% 122.95/122.93 (E(f3(x5801,f4(x5802,f4(x5803,x5804,a1),a1)),f3(x5801,f4(f4(x5802,x5803,a1),x5804,a1)))),
% 122.95/122.93 inference(scs_inference,[],[42,2,6])).
% 122.95/122.93 cnf(582,plain,
% 122.95/122.93 (E(f4(f4(x5821,f4(x5822,x5823,a1),a1),x5824,x5825),f4(f4(f4(x5821,x5822,a1),x5823,a1),x5824,x5825))),
% 122.95/122.93 inference(scs_inference,[],[42,2,8])).
% 122.95/122.93 cnf(583,plain,
% 122.95/122.93 (E(f4(x5831,f4(f4(x5832,x5833,a1),x5834,a1),x5835),f4(x5831,f4(x5832,f4(x5833,x5834,a1),a1),x5835))),
% 122.95/122.93 inference(scs_inference,[],[49,2,9])).
% 122.95/122.93 cnf(586,plain,
% 122.95/122.93 (E(f3(f4(x5861,f4(x5862,x5863,a1),a1),x5864),f3(f4(f4(x5861,x5862,a1),x5863,a1),x5864))),
% 122.95/122.93 inference(scs_inference,[],[42,2,5])).
% 122.95/122.93 cnf(587,plain,
% 122.95/122.93 (E(f3(x5871,f4(f4(x5872,x5873,a1),x5874,a1)),f3(x5871,f4(x5872,f4(x5873,x5874,a1),a1)))),
% 122.95/122.93 inference(scs_inference,[],[49,2,6])).
% 122.95/122.93 cnf(589,plain,
% 122.95/122.93 (E(f4(f4(f4(x5891,x5892,a1),x5893,a1),x5894,x5895),f4(f4(x5891,f4(x5892,x5893,a1),a1),x5894,x5895))),
% 122.95/122.93 inference(scs_inference,[],[49,2,8])).
% 122.95/122.93 cnf(613,plain,
% 122.95/122.93 (E(f4(x6131,f4(x6132,f4(x6133,x6134,a1),a1),x6135),f4(x6131,f4(f4(x6132,x6133,a1),x6134,a1),x6135))),
% 122.95/122.93 inference(scs_inference,[],[42,2,9])).
% 122.95/122.93 cnf(842,plain,
% 122.95/122.93 (P3(f4(x8421,f4(a5,f4(a5,a2,a1),a1),a1),f4(x8421,f4(a5,f4(a5,a5,a1),a1),a1),a1)+~E(a5,x8421)),
% 122.95/122.93 inference(scs_inference,[],[37,62,302,35])).
% 122.95/122.93 cnf(843,plain,
% 122.95/122.93 (P3(f4(a5,f4(a5,f4(a5,a2,a1),a1),a1),f4(a5,f4(a5,f4(a5,a5,a1),a1),a1),a1)),
% 122.95/122.93 inference(equality_inference,[],[842])).
% 122.95/122.93 cnf(892,plain,
% 122.95/122.93 (E(f7(f4(f4(f4(x8921,x8922,a1),x8923,a1),x8924,x8925)),f7(f4(f4(x8921,f4(x8922,x8923,a1),a1),x8924,x8925)))),
% 122.95/122.93 inference(scs_inference,[],[42,4,8])).
% 122.95/122.93 cnf(916,plain,
% 122.95/122.93 (~E(f7(f4(f4(x9161,x9162,a1),x9163,a1)),x9164)+E(f7(f4(x9161,f4(x9162,x9163,a1),a1)),x9164)),
% 122.95/122.93 inference(scs_inference,[],[49,4,3])).
% 122.95/122.93 cnf(933,plain,
% 122.95/122.93 (E(x9331,f7(f4(f4(x9332,x9333,a1),x9334,a1)))+~E(x9331,f7(f4(x9332,f4(x9333,x9334,a1),a1)))),
% 122.95/122.93 inference(scs_inference,[],[49,4,3])).
% 122.95/122.93 cnf(944,plain,
% 122.95/122.93 (~E(f7(f4(x9441,f4(x9442,x9443,a1),a1)),x9444)+E(f7(f4(f4(x9441,x9442,a1),x9443,a1)),x9444)),
% 122.95/122.93 inference(scs_inference,[],[42,4,3])).
% 122.95/122.93 cnf(970,plain,
% 122.95/122.93 (E(x9701,f7(f4(x9702,f4(x9703,x9704,a1),a1)))+~E(x9701,f7(f4(f4(x9702,x9703,a1),x9704,a1)))),
% 122.95/122.93 inference(scs_inference,[],[42,4,3])).
% 122.95/122.93 cnf(972,plain,
% 122.95/122.93 (~E(x9721,f7(f4(f4(x9722,x9723,a1),x9724,a1)))+E(f7(x9721),f7(f7(f4(x9722,f4(x9723,x9724,a1),a1))))),
% 122.95/122.93 inference(scs_inference,[],[4,970])).
% 122.95/122.93 cnf(1052,plain,
% 122.95/122.93 (E(f8(f4(x10521,f4(f4(x10522,x10523,a1),x10524,a1),x10525)),f8(f4(x10521,f4(x10522,f4(x10523,x10524,a1),a1),x10525)))),
% 122.95/122.93 inference(scs_inference,[],[42,7,9])).
% 122.95/122.93 cnf(1062,plain,
% 122.95/122.94 (E(f8(f4(f4(f4(x10621,x10622,a1),x10623,a1),x10624,x10625)),f8(f4(f4(x10621,f4(x10622,x10623,a1),a1),x10624,x10625)))),
% 122.95/122.94 inference(scs_inference,[],[42,7,8])).
% 122.95/122.94 cnf(1069,plain,
% 122.95/122.94 (~E(f8(f4(f4(x10691,x10692,a1),x10693,a1)),x10694)+E(f8(f4(x10691,f4(x10692,x10693,a1),a1)),x10694)),
% 122.95/122.94 inference(scs_inference,[],[49,7,3])).
% 122.95/122.94 cnf(1079,plain,
% 122.95/122.94 (~E(f8(f4(x10791,f4(x10792,x10793,a1),a1)),x10794)+E(f8(f4(f4(x10791,x10792,a1),x10793,a1)),x10794)),
% 122.95/122.94 inference(scs_inference,[],[42,7,3])).
% 122.95/122.94 cnf(1101,plain,
% 122.95/122.94 (E(x11011,f8(f4(x11012,f4(x11013,x11014,a1),a1)))+~E(x11011,f8(f4(f4(x11012,x11013,a1),x11014,a1)))),
% 122.95/122.94 inference(scs_inference,[],[42,7,3])).
% 122.95/122.94 cnf(1103,plain,
% 122.95/122.94 (~E(f7(f4(f4(x11031,x11032,a1),x11033,a1)),x11034)+E(f8(f7(f4(x11031,f4(x11032,x11033,a1),a1))),f8(x11034))),
% 122.95/122.94 inference(scs_inference,[],[7,916])).
% 122.95/122.94 cnf(1112,plain,
% 122.95/122.94 (E(x11121,f8(f4(f4(x11122,x11123,a1),x11124,a1)))+~E(x11121,f8(f4(x11122,f4(x11123,x11124,a1),a1)))),
% 122.95/122.94 inference(scs_inference,[],[49,7,3])).
% 122.95/122.94 cnf(1219,plain,
% 122.95/122.94 (E(f9(f4(f4(f4(x12191,x12192,a1),x12193,a1),x12194,x12195)),f9(f4(f4(x12191,f4(x12192,x12193,a1),a1),x12194,x12195)))),
% 122.95/122.94 inference(scs_inference,[],[42,11,8])).
% 122.95/122.94 cnf(1234,plain,
% 122.95/122.94 (~E(f9(f4(x12341,f4(x12342,x12343,a1),a1)),x12344)+E(f9(f4(f4(x12341,x12342,a1),x12343,a1)),x12344)),
% 122.95/122.94 inference(scs_inference,[],[42,11,3])).
% 122.95/122.94 cnf(1239,plain,
% 122.95/122.94 (E(x12391,f9(f4(x12392,f4(x12393,x12394,a1),a1)))+~E(x12391,f9(f4(f4(x12392,x12393,a1),x12394,a1)))),
% 122.95/122.94 inference(scs_inference,[],[42,11,3])).
% 122.95/122.94 cnf(1261,plain,
% 122.95/122.94 (~E(f9(f4(f4(x12611,x12612,a1),x12613,a1)),x12614)+E(f9(f4(x12611,f4(x12612,x12613,a1),a1)),x12614)),
% 122.95/122.94 inference(scs_inference,[],[49,11,3])).
% 122.95/122.94 cnf(1274,plain,
% 122.95/122.94 (~E(f9(f4(f4(x12741,x12742,a1),x12743,a1)),x12744)+E(f9(f9(f4(x12741,f4(x12742,x12743,a1),a1))),f9(x12744))),
% 122.95/122.94 inference(scs_inference,[],[11,1261])).
% 122.95/122.94 cnf(1283,plain,
% 122.95/122.94 (E(x12831,f9(f4(f4(x12832,x12833,a1),x12834,a1)))+~E(x12831,f9(f4(x12832,f4(x12833,x12834,a1),a1)))),
% 122.95/122.94 inference(scs_inference,[],[49,11,3])).
% 122.95/122.94 cnf(1285,plain,
% 122.95/122.94 (~E(f7(f4(f4(x12851,x12852,a1),x12853,a1)),x12854)+E(f9(f7(f4(x12851,f4(x12852,x12853,a1),a1))),f9(x12854))),
% 122.95/122.94 inference(scs_inference,[],[11,916])).
% 122.95/122.94 cnf(1310,plain,
% 122.95/122.94 (~E(f8(f4(f4(x13101,x13102,a1),x13103,a1)),x13104)+E(f9(f8(f4(x13101,f4(x13102,x13103,a1),a1))),f9(x13104))),
% 122.95/122.94 inference(scs_inference,[],[11,1069])).
% 122.95/122.94 cnf(1333,plain,
% 122.95/122.94 (~E(x13331,f9(f4(f4(x13332,x13333,a1),x13334,a1)))+E(f9(x13331),f9(f9(f4(x13332,f4(x13333,x13334,a1),a1))))),
% 122.95/122.94 inference(scs_inference,[],[11,1239])).
% 122.95/122.94 cnf(1618,plain,
% 122.95/122.94 (E(f3(f4(x16181,f4(x16182,f4(x16183,x16184,a1),a1),x16185),x16186),f3(f4(x16181,f4(f4(x16182,x16183,a1),x16184,a1),x16185),x16186))),
% 122.95/122.94 inference(scs_inference,[],[49,5,9])).
% 122.95/122.94 cnf(1622,plain,
% 122.95/122.94 (E(f3(f4(x16221,f4(f4(x16222,x16223,a1),x16224,a1),x16225),x16226),f3(f4(x16221,f4(x16222,f4(x16223,x16224,a1),a1),x16225),x16226))),
% 122.95/122.94 inference(scs_inference,[],[42,5,9])).
% 122.95/122.94 cnf(1626,plain,
% 122.95/122.94 (E(f3(f4(f4(f4(x16261,x16262,a1),x16263,a1),x16264,x16265),x16266),f3(f4(f4(x16261,f4(x16262,x16263,a1),a1),x16264,x16265),x16266))),
% 122.95/122.94 inference(scs_inference,[],[42,5,8])).
% 122.95/122.94 cnf(1627,plain,
% 122.95/122.94 (~E(f3(f4(x16271,f4(x16272,x16273,a1),a1),x16274),x16275)+E(f3(f4(f4(x16271,x16272,a1),x16273,a1),x16274),x16275)),
% 122.95/122.94 inference(scs_inference,[],[42,5,3])).
% 122.95/122.94 cnf(1633,plain,
% 122.95/122.94 (E(x16331,f3(f4(x16332,f4(x16333,x16334,a1),a1),x16335))+~E(x16331,f3(f4(f4(x16332,x16333,a1),x16334,a1),x16335))),
% 122.95/122.94 inference(scs_inference,[],[42,5,3])).
% 122.95/122.94 cnf(1640,plain,
% 122.95/122.94 (~E(f3(f4(x16401,f4(x16402,x16403,a1),a1),x16404),x16405)+E(f3(f3(f4(f4(x16401,x16402,a1),x16403,a1),x16404),x16406),f3(x16405,x16406))),
% 122.95/122.94 inference(scs_inference,[],[5,1627])).
% 122.95/122.94 cnf(1642,plain,
% 122.95/122.94 (~P1(f3(f4(f4(x16421,x16422,a1),x16423,a1),x16424))+P1(f3(f4(x16421,f4(x16422,x16423,a1),a1),x16424))),
% 122.95/122.94 inference(scs_inference,[],[42,5,12])).
% 122.95/122.94 cnf(1643,plain,
% 122.95/122.94 (P4(f3(f4(x16431,f4(x16432,x16433,a1),a1),x16434))+~P1(f3(f4(f4(x16431,x16432,a1),x16433,a1),x16434))),
% 122.95/122.94 inference(scs_inference,[],[1642,28])).
% 122.95/122.94 cnf(1644,plain,
% 122.95/122.94 (P4(f3(f4(x16441,f4(x16442,x16443,a1),a1),x16444))+~E(a1,f3(f4(f4(x16441,x16442,a1),x16443,a1),x16444))),
% 122.95/122.94 inference(scs_inference,[],[1643,99])).
% 122.95/122.94 cnf(1645,plain,
% 122.95/122.94 (~E(f3(f4(x16451,f4(x16452,x16453,a1),a1),x16454),x16455)+P4(x16455)+~E(a1,f3(f4(f4(x16451,x16452,a1),x16453,a1),x16454))),
% 122.95/122.94 inference(scs_inference,[],[1644,19])).
% 122.95/122.94 cnf(1673,plain,
% 122.95/122.94 (~E(f7(f4(f4(x16731,x16732,a1),x16733,a1)),x16734)+E(f3(f7(f4(x16731,f4(x16732,x16733,a1),a1)),x16735),f3(x16734,x16735))),
% 122.95/122.94 inference(scs_inference,[],[5,916])).
% 122.95/122.94 cnf(1719,plain,
% 122.95/122.94 (~E(f3(f4(f4(x17191,x17192,a1),x17193,a1),x17194),x17195)+E(f3(f4(x17191,f4(x17192,x17193,a1),a1),x17194),x17195)),
% 122.95/122.94 inference(scs_inference,[],[49,5,3])).
% 122.95/122.94 cnf(1727,plain,
% 122.95/122.94 (~E(x17271,f9(f4(f4(x17272,x17273,a1),x17274,a1)))+E(f3(x17271,x17275),f3(f9(f4(x17272,f4(x17273,x17274,a1),a1)),x17275))),
% 122.95/122.94 inference(scs_inference,[],[5,1239])).
% 122.95/122.94 cnf(1733,plain,
% 122.95/122.94 (~E(f9(f4(f4(x17331,x17332,a1),x17333,a1)),x17334)+E(f3(f9(f4(x17331,f4(x17332,x17333,a1),a1)),x17335),f3(x17334,x17335))),
% 122.95/122.94 inference(scs_inference,[],[5,1261])).
% 122.95/122.94 cnf(1739,plain,
% 122.95/122.94 (~E(x17391,f3(f4(f4(x17392,x17393,a1),x17394,a1),x17395))+E(f3(x17391,x17396),f3(f3(f4(x17392,f4(x17393,x17394,a1),a1),x17395),x17396))),
% 122.95/122.94 inference(scs_inference,[],[5,1633])).
% 122.95/122.94 cnf(1741,plain,
% 122.95/122.94 (E(x17411,f3(f4(f4(x17412,x17413,a1),x17414,a1),x17415))+~E(x17411,f3(f4(x17412,f4(x17413,x17414,a1),a1),x17415))),
% 122.95/122.94 inference(scs_inference,[],[49,5,3])).
% 122.95/122.94 cnf(1743,plain,
% 122.95/122.94 (~E(x17431,f3(f4(x17432,f4(x17433,x17434,a1),a1),x17435))+E(f3(x17431,x17436),f3(f3(f4(f4(x17432,x17433,a1),x17434,a1),x17435),x17436))),
% 122.95/122.94 inference(scs_inference,[],[5,1741])).
% 122.95/122.94 cnf(1752,plain,
% 122.95/122.94 (~E(f3(f4(f4(x17521,x17522,a1),x17523,a1),x17524),x17525)+E(f3(f3(f4(x17521,f4(x17522,x17523,a1),a1),x17524),x17526),f3(x17525,x17526))),
% 122.95/122.94 inference(scs_inference,[],[5,1719])).
% 122.95/122.94 cnf(1811,plain,
% 122.95/122.94 (E(f3(f4(f4(x18111,x18112,a1),x18113,a1),f4(x18114,f4(x18115,x18116,a1),a1)),f3(f4(x18111,f4(x18112,x18113,a1),a1),f4(f4(x18114,x18115,a1),x18116,a1)))),
% 122.95/122.94 inference(scs_inference,[],[49,6,1627])).
% 122.95/122.94 cnf(1829,plain,
% 122.95/122.94 (~E(f3(f4(f4(x18291,x18292,a1),x18293,a1),x18294),x18295)+E(f3(x18296,f3(f4(x18291,f4(x18292,x18293,a1),a1),x18294)),f3(x18296,x18295))),
% 122.95/122.94 inference(scs_inference,[],[6,1719])).
% 122.95/122.94 cnf(1831,plain,
% 122.95/122.94 (~E(f3(x18311,f4(x18312,f4(x18313,x18314,a1),a1)),x18315)+E(f3(x18311,f4(f4(x18312,x18313,a1),x18314,a1)),x18315)),
% 122.95/122.94 inference(scs_inference,[],[42,6,3])).
% 122.95/122.94 cnf(1834,plain,
% 122.95/122.94 (~E(f3(x18341,f4(f4(x18342,x18343,a1),x18344,a1)),x18345)+E(f3(x18341,f4(x18342,f4(x18343,x18344,a1),a1)),x18345)),
% 122.95/122.94 inference(scs_inference,[],[49,6,3])).
% 122.95/122.94 cnf(1849,plain,
% 122.95/122.94 (~E(f3(x18491,f4(f4(x18492,x18493,a1),x18494,a1)),x18495)+E(f3(x18496,f3(x18491,f4(x18492,f4(x18493,x18494,a1),a1))),f3(x18496,x18495))),
% 122.95/122.94 inference(scs_inference,[],[6,1834])).
% 122.95/122.94 cnf(1861,plain,
% 122.95/122.94 (E(x18611,f3(x18612,f4(f4(x18613,x18614,a1),x18615,a1)))+~E(x18611,f3(x18612,f4(x18613,f4(x18614,x18615,a1),a1)))),
% 122.95/122.94 inference(scs_inference,[],[49,6,3])).
% 122.95/122.94 cnf(1863,plain,
% 122.95/122.94 (~E(f7(f4(f4(x18631,x18632,a1),x18633,a1)),x18634)+E(f3(x18635,f7(f4(x18631,f4(x18632,x18633,a1),a1))),f3(x18635,x18634))),
% 122.95/122.94 inference(scs_inference,[],[6,916])).
% 122.95/122.94 cnf(1874,plain,
% 122.95/122.94 (E(x18741,f3(x18742,f4(x18743,f4(x18744,x18745,a1),a1)))+~E(x18741,f3(x18742,f4(f4(x18743,x18744,a1),x18745,a1)))),
% 122.95/122.94 inference(scs_inference,[],[42,6,3])).
% 122.95/122.94 cnf(1897,plain,
% 122.95/122.94 (~E(f8(f4(f4(x18971,x18972,a1),x18973,a1)),x18974)+E(f3(x18975,f8(f4(x18971,f4(x18972,x18973,a1),a1))),f3(x18975,x18974))),
% 122.95/122.94 inference(scs_inference,[],[6,1069])).
% 122.95/122.94 cnf(1934,plain,
% 122.95/122.94 (~E(f9(f4(f4(x19341,x19342,a1),x19343,a1)),x19344)+E(f3(x19345,f9(f4(x19341,f4(x19342,x19343,a1),a1))),f3(x19345,x19344))),
% 122.95/122.94 inference(scs_inference,[],[6,1261])).
% 122.95/122.94 cnf(1972,plain,
% 122.95/122.94 (~E(x19721,f3(x19722,f4(x19723,f4(x19724,x19725,a1),a1)))+E(f3(x19726,x19721),f3(x19726,f3(x19722,f4(f4(x19723,x19724,a1),x19725,a1))))),
% 122.95/122.94 inference(scs_inference,[],[6,1861])).
% 122.95/122.94 cnf(1982,plain,
% 122.95/122.94 (~E(x19821,f3(x19822,f4(f4(x19823,x19824,a1),x19825,a1)))+E(f3(x19826,x19821),f3(x19826,f3(x19822,f4(x19823,f4(x19824,x19825,a1),a1))))),
% 122.95/122.94 inference(scs_inference,[],[6,1874])).
% 122.95/122.94 cnf(2044,plain,
% 122.95/122.94 (E(f4(f4(x20441,x20442,f4(x20443,f4(x20444,x20445,a1),a1)),x20446,x20447),f4(f4(x20441,x20442,f4(f4(x20443,x20444,a1),x20445,a1)),x20446,x20447))),
% 122.95/122.94 inference(scs_inference,[],[49,8,10])).
% 122.95/122.94 cnf(2047,plain,
% 122.95/122.94 (E(f4(f4(f4(x20471,x20472,a1),x20473,a1),f4(x20474,x20475,a1),a1),f4(f4(f4(x20471,f4(x20472,x20473,a1),a1),x20474,a1),x20475,a1))),
% 122.95/122.94 inference(scs_inference,[],[42,49,8,3])).
% 122.95/122.94 cnf(2049,plain,
% 122.95/122.94 (E(f4(x20491,f4(f4(x20492,f4(x20493,x20494,a1),a1),x20495,x20496),x20497),f4(x20491,f4(f4(f4(x20492,x20493,a1),x20494,a1),x20495,x20496),x20497))),
% 122.95/122.94 inference(scs_inference,[],[49,8,9])).
% 122.95/122.94 cnf(2051,plain,
% 122.95/122.94 (E(f4(f4(x20511,x20512,a1),f4(x20513,x20514,a1),a1),f4(f4(x20511,f4(x20512,x20513,a1),a1),x20514,a1))),
% 122.95/122.94 inference(scs_inference,[],[42,49,8,3])).
% 122.95/122.94 cnf(2052,plain,
% 122.95/122.94 (E(f4(f4(x20521,x20522,a1),f4(x20523,x20524,a1),a1),f4(x20521,f4(f4(x20522,x20523,a1),x20524,a1),a1))),
% 122.95/122.94 inference(scs_inference,[],[2051,42,3])).
% 122.95/122.94 cnf(2053,plain,
% 122.95/122.94 (E(f4(f4(x20531,x20532,a1),f4(x20533,x20534,a1),a1),f4(f4(x20531,f4(x20532,x20533,a1),a1),x20534,a1))),
% 122.95/122.94 inference(rename_variables,[],[2051])).
% 122.95/122.94 cnf(2056,plain,
% 122.95/122.94 (E(f4(f4(x20561,f4(x20562,x20563,a1),a1),x20564,a1),f4(f4(x20561,x20562,a1),f4(x20563,x20564,a1),a1))),
% 122.95/122.94 inference(scs_inference,[],[2051,2053,42,3,21,2])).
% 122.95/122.94 cnf(2076,plain,
% 122.95/122.94 (E(f4(x20761,f4(f4(x20762,x20763,a1),x20764,a1),a1),f4(f4(x20761,x20762,a1),f4(x20763,x20764,a1),a1))),
% 122.95/122.94 inference(scs_inference,[],[2052,2])).
% 122.95/122.94 cnf(2087,plain,
% 122.95/122.94 (~P3(x20871,f4(x20872,f4(f4(x20873,x20874,a1),x20875,a1),a1),x20876)+P3(x20871,f4(f4(x20872,x20873,a1),f4(x20874,x20875,a1),a1),x20876)),
% 122.95/122.94 inference(scs_inference,[],[2076,17])).
% 122.95/122.94 cnf(2102,plain,
% 122.95/122.94 (~P3(f4(f4(x21021,f4(x21022,x21023,a1),a1),x21024,a1),x21025,x21026)+P3(f4(f4(x21021,x21022,a1),f4(x21023,x21024,a1),a1),x21025,x21026)),
% 122.95/122.94 inference(scs_inference,[],[2056,16])).
% 122.95/122.94 cnf(2105,plain,
% 122.95/122.94 (P3(f4(a5,f4(a5,f4(a5,a2,a1),a1),a1),f4(f4(a5,a5,a1),f4(a5,a5,a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[524,2087])).
% 122.95/122.94 cnf(2109,plain,
% 122.95/122.94 (E(f4(x21091,f4(x21092,f4(x21093,x21094,a1),a1),a1),f4(f4(x21091,f4(x21092,x21093,a1),a1),x21094,a1))),
% 122.95/122.94 inference(scs_inference,[],[42,524,583,2087,3,2])).
% 122.95/122.94 cnf(2110,plain,
% 122.95/122.94 (~E(f4(a5,f3(f7(a10),a1),a1),f4(f4(a5,a6,a1),f3(f8(a10),a1),a1))),
% 122.95/122.94 inference(scs_inference,[],[42,524,583,26,27,2087,3,2,17])).
% 122.95/122.94 cnf(2114,plain,
% 122.95/122.94 (~P2(f4(a5,f3(f7(a10),a1),a1),f4(f4(a5,a6,a1),f3(f8(a10),a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[38,42,524,551,583,613,26,27,2087,3,2,17,16,32])).
% 122.95/122.94 cnf(2126,plain,
% 122.95/122.94 (E(f4(f4(f4(x21261,x21262,a1),x21263,a1),x21264,a1),f4(x21261,f4(f4(x21262,x21263,a1),x21264,a1),a1))),
% 122.95/122.94 inference(scs_inference,[],[42,589,3])).
% 122.95/122.94 cnf(2129,plain,
% 122.95/122.94 (~E(f4(f4(a5,a6,a1),f3(f8(a10),a1),a1),f4(a5,f3(f7(a10),a1),a1))),
% 122.95/122.94 inference(scs_inference,[],[42,2110,589,3,2])).
% 122.95/122.94 cnf(2130,plain,
% 122.95/122.94 (P3(f4(a5,f4(a5,f4(a5,a2,a1),a1),a1),f4(f4(a5,f4(a5,a5,a1),a1),a5,a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[42,843,2110,589,2109,3,2,17])).
% 122.95/122.94 cnf(2145,plain,
% 122.95/122.94 (P3(f4(f4(a5,a5,a1),f4(a5,a2,a1),a1),f4(f4(a5,a5,a1),f4(a5,a5,a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[582,2126,2105,2130,2109,2,17,16,2102])).
% 122.95/122.94 cnf(2440,plain,
% 122.95/122.94 (P3(f4(a5,f4(f4(a5,a5,a1),f4(a5,a2,a1),a1),a1),f4(a5,f4(f4(a5,a5,a1),f4(a5,a5,a1),a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[37,45,2145,35])).
% 122.95/122.94 cnf(2449,plain,
% 122.95/122.94 (P3(f4(f4(a5,f4(a5,a5,a1),a1),f4(a5,a2,a1),a1),f4(a5,f4(f4(a5,a5,a1),f4(a5,a5,a1),a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[49,2440,16])).
% 122.95/122.94 cnf(2498,plain,
% 122.95/122.94 (P3(f4(a5,f4(f4(a5,a5,a1),f4(a5,a2,a1),a1),a1),f4(f4(a5,f4(a5,a5,a1),a1),f4(a5,a5,a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[49,2440,17])).
% 122.95/122.94 cnf(2690,plain,
% 122.95/122.94 (P3(f4(f4(f4(a5,a5,a1),a5,a1),f4(a5,a2,a1),a1),f4(a5,f4(f4(a5,a5,a1),f4(a5,a5,a1),a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[582,2449,16])).
% 122.95/122.94 cnf(2739,plain,
% 122.95/122.94 (P3(f4(f4(f4(a5,a5,a1),a5,a1),f4(a5,a2,a1),a1),f4(f4(a5,f4(a5,a5,a1),a1),f4(a5,a5,a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[49,2690,17])).
% 122.95/122.94 cnf(3290,plain,
% 122.95/122.94 (E(f4(x32901,f4(x32902,f4(x32903,x32904,a1),a1),a1),f4(f4(f4(x32901,x32902,a1),x32903,a1),x32904,a1))),
% 122.95/122.94 inference(scs_inference,[],[582,2109,3])).
% 122.95/122.94 cnf(3310,plain,
% 122.95/122.94 (E(f4(f4(x33101,f4(x33102,x33103,a1),a1),f4(x33104,x33105,a1),a1),f4(f4(f4(x33101,x33102,a1),f4(x33103,x33104,a1),a1),x33105,a1))),
% 122.95/122.94 inference(scs_inference,[],[582,2051,3290,2,3])).
% 122.95/122.94 cnf(3375,plain,
% 122.95/122.94 (P3(f4(f4(f4(a5,a5,a1),f4(a5,a5,a1),a1),a2,a1),f4(a5,f4(f4(a5,a5,a1),f4(a5,a5,a1),a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[2449,3310,16])).
% 122.95/122.94 cnf(3376,plain,
% 122.95/122.94 (E(f4(f4(x33761,f4(x33762,x33763,a1),a1),f4(x33764,x33765,a1),a1),f4(f4(f4(x33761,x33762,a1),f4(x33763,x33764,a1),a1),x33765,a1))),
% 122.95/122.94 inference(rename_variables,[],[3310])).
% 122.95/122.94 cnf(3377,plain,
% 122.95/122.94 (P3(f4(a5,f4(f4(a5,a5,a1),f4(a5,a2,a1),a1),a1),f4(f4(f4(a5,a5,a1),f4(a5,a5,a1),a1),a5,a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[2498,2449,3310,3376,16,17])).
% 122.95/122.94 cnf(3379,plain,
% 122.95/122.94 (P3(f4(f4(f4(a5,a5,a1),f4(a5,a5,a1),a1),a2,a1),f4(f4(a5,a5,a1),f4(a5,f4(a5,a5,a1),a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[2498,2449,3310,3376,16,17,2087])).
% 122.95/122.94 cnf(3395,plain,
% 122.95/122.94 (E(f4(x33951,f4(x33952,x33953,a1),a1),f4(f4(x33951,x33952,a1),x33953,a1))),
% 122.95/122.94 inference(rename_variables,[],[49])).
% 122.95/122.94 cnf(3398,plain,
% 122.95/122.94 (E(f4(f4(x33981,f4(x33982,x33983,a1),a1),f4(x33984,x33985,a1),a1),f4(f4(x33981,x33982,a1),f4(f4(x33983,x33984,a1),x33985,a1),a1))),
% 122.95/122.94 inference(scs_inference,[],[582,49,3395,2052,3377,3375,16,17,3])).
% 122.95/122.94 cnf(3843,plain,
% 122.95/122.94 (E(f4(x38431,f4(f4(x38432,x38433,a1),f4(x38434,x38435,a1),a1),a1),f4(f4(x38431,x38432,a1),f4(f4(x38433,x38434,a1),x38435,a1),a1))),
% 122.95/122.94 inference(scs_inference,[],[583,2052,3379,3,18,2])).
% 122.95/122.94 cnf(4004,plain,
% 122.95/122.94 (E(f4(f4(f4(x40041,x40042,a1),x40043,a1),f4(x40044,x40045,a1),a1),f4(f4(f4(x40041,f4(x40042,x40043,a1),a1),x40044,a1),x40045,a1))),
% 122.95/122.94 inference(rename_variables,[],[2047])).
% 122.95/122.94 cnf(4005,plain,
% 122.95/122.94 (~P3(f3(f9(a10),a1),f4(a5,f4(a6,f3(f8(a10),a1),a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[27,2047,3843,49,3,17])).
% 122.95/122.94 cnf(4007,plain,
% 122.95/122.94 (P3(f4(a5,f4(f4(f4(a5,a5,a1),a5,a1),f4(a5,a2,a1),a1),a1),f4(a5,f4(f4(a5,f4(a5,a5,a1),a1),f4(a5,a5,a1),a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[27,37,2047,2739,3843,45,49,3,17,35])).
% 122.95/122.94 cnf(4009,plain,
% 122.95/122.94 (E(f4(f4(f4(x40091,f4(x40092,x40093,a1),a1),x40094,a1),x40095,a1),f4(f4(f4(x40091,x40092,a1),x40093,a1),f4(x40094,x40095,a1),a1))),
% 122.95/122.94 inference(scs_inference,[],[27,37,2047,4004,2739,3843,45,49,3,17,35,2])).
% 122.95/122.94 cnf(4013,plain,
% 122.95/122.94 (P3(f4(f4(f4(a5,f4(a5,a5,a1),a1),a5,a1),a2,a1),f4(f4(a5,f4(a5,a5,a1),a1),f4(a5,a5,a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[27,37,1811,2047,4004,2739,3843,45,49,3,17,35,2,1645,16])).
% 122.95/122.94 cnf(4022,plain,
% 122.95/122.94 (E(f7(f4(f4(f4(x40221,x40222,a1),x40223,a1),x40224,x40225)),f7(f4(f4(x40221,f4(x40222,x40223,a1),a1),x40224,x40225)))),
% 122.95/122.94 inference(rename_variables,[],[892])).
% 122.95/122.94 cnf(4024,plain,
% 122.95/122.94 (E(f7(f4(f4(f4(x40241,x40242,a1),x40243,a1),x40244,x40245)),f7(f4(f4(x40241,f4(x40242,x40243,a1),a1),x40244,x40245)))),
% 122.95/122.94 inference(rename_variables,[],[892])).
% 122.95/122.94 cnf(4026,plain,
% 122.95/122.94 (E(f7(f4(f4(f4(x40261,x40262,a1),x40263,a1),x40264,x40265)),f7(f4(f4(x40261,f4(x40262,x40263,a1),a1),x40264,x40265)))),
% 122.95/122.94 inference(rename_variables,[],[892])).
% 122.95/122.94 cnf(4029,plain,
% 122.95/122.94 (E(f8(f4(f4(f4(x40291,x40292,a1),x40293,a1),x40294,x40295)),f8(f4(f4(x40291,f4(x40292,x40293,a1),a1),x40294,x40295)))),
% 122.95/122.94 inference(rename_variables,[],[1062])).
% 122.95/122.94 cnf(4031,plain,
% 122.95/122.94 (E(f8(f4(x40311,f4(f4(x40312,x40313,a1),x40314,a1),x40315)),f8(f4(x40311,f4(x40312,f4(x40313,x40314,a1),a1),x40315)))),
% 122.95/122.94 inference(rename_variables,[],[1052])).
% 122.95/122.94 cnf(4035,plain,
% 122.95/122.94 (E(f9(f4(f4(f4(x40351,x40352,a1),x40353,a1),x40354,x40355)),f9(f4(f4(x40351,f4(x40352,x40353,a1),a1),x40354,x40355)))),
% 122.95/122.94 inference(rename_variables,[],[1219])).
% 122.95/122.94 cnf(4037,plain,
% 122.95/122.94 (E(f9(f4(f4(f4(x40371,x40372,a1),x40373,a1),x40374,x40375)),f9(f4(f4(x40371,f4(x40372,x40373,a1),a1),x40374,x40375)))),
% 122.95/122.94 inference(rename_variables,[],[1219])).
% 122.95/122.94 cnf(4039,plain,
% 122.95/122.94 (E(f9(f4(f4(f4(x40391,x40392,a1),x40393,a1),x40394,x40395)),f9(f4(f4(x40391,f4(x40392,x40393,a1),a1),x40394,x40395)))),
% 122.95/122.94 inference(rename_variables,[],[1219])).
% 122.95/122.94 cnf(4043,plain,
% 122.95/122.94 (E(f3(x40431,f4(f4(x40432,x40433,a1),x40434,a1)),f3(x40431,f4(x40432,f4(x40433,x40434,a1),a1)))),
% 122.95/122.94 inference(rename_variables,[],[587])).
% 122.95/122.94 cnf(4046,plain,
% 122.95/122.94 (E(f3(x40461,f4(x40462,f4(x40463,x40464,a1),a1)),f3(x40461,f4(f4(x40462,x40463,a1),x40464,a1)))),
% 122.95/122.94 inference(rename_variables,[],[580])).
% 122.95/122.94 cnf(4048,plain,
% 122.95/122.94 (E(f3(x40481,f4(f4(x40482,x40483,a1),x40484,a1)),f3(x40481,f4(x40482,f4(x40483,x40484,a1),a1)))),
% 122.95/122.94 inference(rename_variables,[],[587])).
% 122.95/122.94 cnf(4054,plain,
% 122.95/122.94 (E(f3(f4(f4(x40541,x40542,a1),x40543,a1),x40544),f3(f4(x40541,f4(x40542,x40543,a1),a1),x40544))),
% 122.95/122.94 inference(rename_variables,[],[579])).
% 122.95/122.94 cnf(4058,plain,
% 122.95/122.94 (E(f3(f4(x40581,f4(x40582,f4(x40583,x40584,a1),a1),x40585),x40586),f3(f4(x40581,f4(f4(x40582,x40583,a1),x40584,a1),x40585),x40586))),
% 122.95/122.94 inference(rename_variables,[],[1618])).
% 122.95/122.94 cnf(4060,plain,
% 122.95/122.94 (E(f3(f4(f4(f4(x40601,x40602,a1),x40603,a1),x40604,x40605),x40606),f3(f4(f4(x40601,f4(x40602,x40603,a1),a1),x40604,x40605),x40606))),
% 122.95/122.94 inference(rename_variables,[],[1626])).
% 122.95/122.94 cnf(4062,plain,
% 122.95/122.94 (E(f3(f4(x40621,f4(x40622,f4(x40623,x40624,a1),a1),x40625),x40626),f3(f4(x40621,f4(f4(x40622,x40623,a1),x40624,a1),x40625),x40626))),
% 122.95/122.94 inference(rename_variables,[],[1618])).
% 122.95/122.94 cnf(4064,plain,
% 122.95/122.94 (E(f3(f4(x40641,f4(x40642,f4(x40643,x40644,a1),a1),x40645),x40646),f3(f4(x40641,f4(f4(x40642,x40643,a1),x40644,a1),x40645),x40646))),
% 122.95/122.94 inference(rename_variables,[],[1618])).
% 122.95/122.94 cnf(4077,plain,
% 122.95/122.94 (~P3(f4(a5,f3(f7(a10),a1),a1),f4(a5,f4(a6,f3(f8(a10),a1),a1),a1),a1)),
% 122.95/122.94 inference(scs_inference,[],[26,2114,4005,4007,245,2044,2049,1618,4058,4062,1626,892,4022,4024,1052,1062,4029,1219,4035,4037,4009,587,4043,579,4054,580,4046,38,49,933,944,970,972,1069,1079,1101,1234,1261,1283,1285,1333,1640,1673,1739,1743,1752,1863,1934,1972,1982,1627,1719,1861,1874,4,5,6,7,9,3,17,14,33])).
% 122.95/122.94 cnf(4101,plain,
% 122.95/122.94 (E(f9(f4(f4(f4(x41011,f4(x41012,x41013,a1),a1),x41014,a1),x41015,a1)),f9(f4(f4(f4(x41011,x41012,a1),x41013,a1),f4(x41014,x41015,a1),a1)))),
% 122.95/122.94 inference(scs_inference,[],[26,2114,4005,4007,245,2044,2049,1618,4058,4062,4064,1622,1626,4060,892,4022,4024,4026,1052,4031,1062,4029,1219,4035,4037,4039,4009,587,4043,4048,579,4054,580,4046,586,38,49,933,944,970,972,1069,1079,1101,1234,1261,1283,1285,1333,1640,1673,1739,1743,1752,1863,1934,1972,1982,1627,1719,1861,1874,4,5,6,7,9,3,17,14,33,916,1103,1112,1239,1310,1727,1829,1849,1897,1633,1741,1831,8,11])).
% 122.95/122.94 cnf(4128,plain,
% 122.95/122.94 ($false),
% 122.95/122.94 inference(scs_inference,[],[25,37,4077,4013,4101,2129,3398,45,42,1274,1733,3,17,35]),
% 122.95/122.94 ['proof']).
% 122.95/122.95 % SZS output end Proof
% 122.95/122.95 % Total time :122.260000s
%------------------------------------------------------------------------------