TSTP Solution File: SWV281-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:32:41 EDT 2023
% Result : Unsatisfiable 121.71s 121.79s
% Output : CNFRefutation 121.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 05:50:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 121.71/121.77 %-------------------------------------------
% 121.71/121.77 % File :CSE---1.6
% 121.71/121.77 % Problem :theBenchmark
% 121.71/121.77 % Transform :cnf
% 121.71/121.77 % Format :tptp:raw
% 121.71/121.77 % Command :java -jar mcs_scs.jar %d %s
% 121.71/121.77
% 121.71/121.77 % Result :Theorem 121.130000s
% 121.71/121.77 % Output :CNFRefutation 121.130000s
% 121.71/121.77 %-------------------------------------------
% 121.71/121.78 %------------------------------------------------------------------------------
% 121.71/121.79 % File : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% 121.71/121.79 % Domain : Software Verification (Security)
% 121.71/121.79 % Problem : Cryptographic protocol problem for public
% 121.71/121.79 % Version : [Pau06] axioms : Reduced > Especial.
% 121.71/121.79 % English :
% 121.71/121.79
% 121.71/121.79 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 121.71/121.79 % Source : [Pau06]
% 121.71/121.79 % Names :
% 121.71/121.79
% 121.71/121.79 % Status : Unsatisfiable
% 121.71/121.79 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.35 v5.3.0, 0.44 v5.2.0, 0.25 v5.1.0, 0.18 v5.0.0, 0.07 v4.1.0, 0.15 v4.0.1, 0.27 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.33 v3.3.0, 0.36 v3.2.0
% 121.71/121.79 % Syntax : Number of clauses : 6 ( 3 unt; 1 nHn; 3 RR)
% 121.71/121.79 % Number of literals : 10 ( 5 equ; 4 neg)
% 121.71/121.79 % Maximal clause size : 3 ( 1 avg)
% 121.71/121.79 % Maximal term depth : 2 ( 1 avg)
% 121.71/121.79 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 121.71/121.79 % Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% 121.71/121.79 % Number of variables : 13 ( 4 sgn)
% 121.71/121.79 % SPC : CNF_UNS_RFO_SEQ_NHN
% 121.71/121.79
% 121.71/121.79 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 121.71/121.79 % of which only a small selection are required for the refutation.
% 121.71/121.79 % The mission is to find those few axioms, after which a refutation
% 121.71/121.79 % can be quite easily found. This version has only the necessary
% 121.71/121.79 % axioms.
% 121.71/121.79 %------------------------------------------------------------------------------
% 121.71/121.79 cnf(cls_conjecture_0,negated_conjecture,
% 121.71/121.79 ( V_U = V_V
% 121.71/121.79 | c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg)
% 121.71/121.79 | c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg) ) ).
% 121.71/121.79
% 121.71/121.79 cnf(cls_List_Olist_Odistinct__1_0,axiom,
% 121.71/121.79 c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 121.71/121.79
% 121.71/121.79 cnf(cls_Nat_Ole__add2_0,axiom,
% 121.71/121.79 c_lessequals(V_n,c_plus(V_m,V_n,tc_nat),tc_nat) ).
% 121.71/121.79
% 121.71/121.79 cnf(cls_Nat_Onat__add__right__cancel_0,axiom,
% 121.71/121.79 ( c_plus(V_m,V_k,tc_nat) != c_plus(V_n,V_k,tc_nat)
% 121.71/121.79 | V_m = V_n ) ).
% 121.71/121.79
% 121.71/121.79 cnf(cls_Nat_Oop_A_L_Oadd__0_0,axiom,
% 121.71/121.79 c_plus(c_0,V_y,tc_nat) = V_y ).
% 121.71/121.79
% 121.71/121.79 cnf(cls_Public_ONonce__supply__lemma_0,axiom,
% 121.71/121.79 ( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg)
% 121.71/121.79 | ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat) ) ).
% 121.71/121.79
% 121.71/121.79 %------------------------------------------------------------------------------
% 121.71/121.79 %-------------------------------------------
% 121.71/121.79 % Proof found
% 121.71/121.79 % SZS status Theorem for theBenchmark
% 121.71/121.79 % SZS output start Proof
% 121.71/121.79 %ClaNum:24(EqnAxiom:18)
% 121.71/121.79 %VarNum:22(SingletonVarNum:13)
% 121.71/121.79 %MaxLitNum:3
% 121.71/121.79 %MaxfuncDepth:1
% 121.71/121.79 %SharedTerms:8
% 121.71/121.79 %goalClause: 22
% 121.71/121.79 [19]E(f3(a1,x191,a2),x191)
% 121.71/121.79 [20]P1(x201,f3(x202,x201,a2),a2)
% 121.71/121.79 [21]~E(f4(x211,x212,x213),a6)
% 121.71/121.79 [24]~P2(f7(x242),f5(x241),a8)+~P1(f11(x241),x242,a2)
% 121.71/121.79 [23]E(x231,x232)+~E(f3(x231,x233,a2),f3(x232,x233,a2))
% 121.71/121.79 [22]E(x221,x222)+P2(f7(x222),f5(a9),a8)+P2(f7(x221),f5(a10),a8)
% 121.71/121.79 %EqnAxiom
% 121.71/121.79 [1]E(x11,x11)
% 121.71/121.79 [2]E(x22,x21)+~E(x21,x22)
% 121.71/121.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 121.71/121.79 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44))
% 121.71/121.79 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54))
% 121.71/121.79 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62))
% 121.71/121.79 [7]~E(x71,x72)+E(f5(x71),f5(x72))
% 121.71/121.79 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84))
% 121.71/121.79 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94))
% 121.71/121.79 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102))
% 121.71/121.79 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 121.71/121.79 [12]~E(x121,x122)+E(f11(x121),f11(x122))
% 121.71/121.79 [13]P1(x132,x133,x134)+~E(x131,x132)+~P1(x131,x133,x134)
% 121.71/121.79 [14]P1(x143,x142,x144)+~E(x141,x142)+~P1(x143,x141,x144)
% 121.71/121.79 [15]P1(x153,x154,x152)+~E(x151,x152)+~P1(x153,x154,x151)
% 121.71/121.79 [16]P2(x162,x163,x164)+~E(x161,x162)+~P2(x161,x163,x164)
% 121.71/121.79 [17]P2(x173,x172,x174)+~E(x171,x172)+~P2(x173,x171,x174)
% 121.71/121.79 [18]P2(x183,x184,x182)+~E(x181,x182)+~P2(x183,x184,x181)
% 121.71/121.79
% 121.71/121.79 %-------------------------------------------
% 121.71/121.81 cnf(25,plain,
% 121.71/121.81 (E(x251,f3(a1,x251,a2))),
% 121.71/121.81 inference(scs_inference,[],[19,2])).
% 121.71/121.81 cnf(26,plain,
% 121.71/121.81 (P1(x261,f3(x262,x261,a2),f3(a1,a2,a2))),
% 121.71/121.81 inference(scs_inference,[],[19,20,2,15])).
% 121.71/121.81 cnf(28,plain,
% 121.71/121.81 (P1(x281,f3(x282,x281,a2),a2)),
% 121.71/121.81 inference(rename_variables,[],[20])).
% 121.71/121.81 cnf(29,plain,
% 121.71/121.81 (E(f3(a1,x291,a2),x291)),
% 121.71/121.81 inference(rename_variables,[],[19])).
% 121.71/121.81 cnf(30,plain,
% 121.71/121.81 (P1(x301,f3(x302,f3(a1,x301,a2),a2),a2)),
% 121.71/121.81 inference(scs_inference,[],[19,29,20,28,2,15,14,13])).
% 121.71/121.81 cnf(32,plain,
% 121.71/121.81 (~E(f4(x321,x322,x323),f3(a1,a6,a2))),
% 121.71/121.81 inference(scs_inference,[],[19,29,20,28,21,2,15,14,13,3])).
% 121.71/121.81 cnf(33,plain,
% 121.71/121.81 (E(f3(a1,x331,a2),x331)),
% 121.71/121.81 inference(rename_variables,[],[19])).
% 121.71/121.81 cnf(34,plain,
% 121.71/121.81 (E(f11(f3(a1,x341,a2)),f11(x341))),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12])).
% 121.71/121.81 cnf(36,plain,
% 121.71/121.81 (E(f4(x361,x362,f3(a1,x363,a2)),f4(x361,x362,x363))),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12,11,10])).
% 121.71/121.81 cnf(37,plain,
% 121.71/121.81 (E(f4(x371,f3(a1,x372,a2),x373),f4(x371,x372,x373))),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12,11,10,9])).
% 121.71/121.81 cnf(38,plain,
% 121.71/121.81 (E(f4(f3(a1,x381,a2),x382,x383),f4(x381,x382,x383))),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12,11,10,9,8])).
% 121.71/121.81 cnf(39,plain,
% 121.71/121.81 (E(f5(f3(a1,x391,a2)),f5(x391))),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12,11,10,9,8,7])).
% 121.71/121.81 cnf(40,plain,
% 121.71/121.81 (E(f3(x401,x402,f3(a1,x403,a2)),f3(x401,x402,x403))),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12,11,10,9,8,7,6])).
% 121.71/121.81 cnf(41,plain,
% 121.71/121.81 (E(f3(x411,f3(a1,x412,a2),x413),f3(x411,x412,x413))),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12,11,10,9,8,7,6,5])).
% 121.71/121.81 cnf(42,plain,
% 121.71/121.81 (E(f3(f3(a1,x421,a2),x422,x423),f3(x421,x422,x423))),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12,11,10,9,8,7,6,5,4])).
% 121.71/121.81 cnf(43,plain,
% 121.71/121.81 (~E(f3(f4(x431,x432,x433),x434,a2),f3(a6,x434,a2))),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12,11,10,9,8,7,6,5,4,23])).
% 121.71/121.81 cnf(45,plain,
% 121.71/121.81 (~P2(x451,x452,f3(a1,x453,a2))+P2(x451,x452,x453)),
% 121.71/121.81 inference(scs_inference,[],[19,29,33,20,28,21,2,15,14,13,3,12,11,10,9,8,7,6,5,4,23,18])).
% 121.71/121.81 cnf(53,plain,
% 121.71/121.81 (~E(a6,f4(x531,x532,x533))),
% 121.71/121.81 inference(scs_inference,[],[21,2])).
% 121.71/121.81 cnf(55,plain,
% 121.71/121.81 (P1(x551,x551,a2)),
% 121.71/121.81 inference(scs_inference,[],[19,20,21,36,2,15,14])).
% 121.71/121.81 cnf(56,plain,
% 121.71/121.81 (E(f3(a1,x561,a2),x561)),
% 121.71/121.81 inference(rename_variables,[],[19])).
% 121.71/121.81 cnf(57,plain,
% 121.71/121.81 (P1(x571,f3(x572,x571,a2),a2)),
% 121.71/121.81 inference(rename_variables,[],[20])).
% 121.71/121.81 cnf(58,plain,
% 121.71/121.81 (P1(f3(a1,x581,a2),f3(x582,x581,a2),a2)),
% 121.71/121.81 inference(scs_inference,[],[19,20,57,21,36,25,2,15,14,13])).
% 121.71/121.81 cnf(60,plain,
% 121.71/121.81 (E(f3(a1,x601,f3(a1,a2,a2)),x601)),
% 121.71/121.81 inference(scs_inference,[],[19,56,20,57,21,36,40,25,2,15,14,13,3])).
% 121.71/121.81 cnf(62,plain,
% 121.71/121.81 (~P2(f7(f11(x621)),f5(x621),a8)),
% 121.71/121.81 inference(scs_inference,[],[55,24])).
% 121.71/121.81 cnf(65,plain,
% 121.71/121.81 (~E(f4(x651,x652,x653),f3(a1,a6,f3(a1,a2,a2)))),
% 121.71/121.81 inference(scs_inference,[],[21,60,55,24,3])).
% 121.71/121.81 cnf(67,plain,
% 121.71/121.81 (E(f3(x671,x672,x673),f3(x671,f3(a1,x672,a2),x673))),
% 121.71/121.81 inference(scs_inference,[],[21,41,60,55,24,3,2])).
% 121.71/121.81 cnf(68,plain,
% 121.71/121.81 (E(f11(a10),x681)+P2(f7(x681),f5(a9),a8)),
% 121.71/121.81 inference(scs_inference,[],[21,41,60,55,24,3,2,22])).
% 121.71/121.81 cnf(71,plain,
% 121.71/121.81 (E(f11(a10),f11(a9))),
% 121.71/121.81 inference(scs_inference,[],[62,68])).
% 121.71/121.81 cnf(72,plain,
% 121.71/121.81 (~P2(f7(f11(x721)),f5(x721),a8)),
% 121.71/121.81 inference(rename_variables,[],[62])).
% 121.71/121.81 cnf(74,plain,
% 121.71/121.81 (E(x741,f3(a1,f3(a1,x741,a2),a2))),
% 121.71/121.81 inference(scs_inference,[],[25,67,62,68,3])).
% 121.77/121.81 cnf(77,plain,
% 121.77/121.81 (E(x771,f11(a9))+P2(f7(x771),f5(a10),a8)),
% 121.77/121.81 inference(scs_inference,[],[25,67,65,62,72,68,3,2,22])).
% 121.77/121.81 cnf(80,plain,
% 121.77/121.81 (~E(f3(a1,f4(x801,x802,x803),a2),a6)),
% 121.77/121.81 inference(scs_inference,[],[21,25,3])).
% 121.77/121.81 cnf(81,plain,
% 121.77/121.81 (E(x811,f3(a1,x811,a2))),
% 121.77/121.81 inference(rename_variables,[],[25])).
% 121.77/121.81 cnf(82,plain,
% 121.77/121.81 (E(f11(x821),f11(f3(a1,x821,a2)))),
% 121.77/121.81 inference(scs_inference,[],[21,25,34,3,2])).
% 121.77/121.81 cnf(83,plain,
% 121.77/121.81 (E(f7(x831),f7(f3(a1,x831,a2)))),
% 121.77/121.81 inference(scs_inference,[],[21,25,81,34,3,2,11])).
% 121.77/121.81 cnf(84,plain,
% 121.77/121.81 (E(f4(x841,x842,x843),f4(x841,f3(a1,x842,a2),x843))),
% 121.77/121.81 inference(scs_inference,[],[21,25,81,34,3,2,11,9])).
% 121.77/121.81 cnf(89,plain,
% 121.77/121.81 (E(f5(x891),f5(f3(a1,x891,a2)))),
% 121.77/121.81 inference(scs_inference,[],[21,25,81,34,53,3,2,11,9,8,23,10,7])).
% 121.77/121.81 cnf(90,plain,
% 121.77/121.81 (E(f3(x901,x902,x903),f3(x901,x902,f3(a1,x903,a2)))),
% 121.77/121.81 inference(scs_inference,[],[21,25,81,34,53,3,2,11,9,8,23,10,7,6])).
% 121.77/121.81 cnf(93,plain,
% 121.77/121.81 (E(f3(x931,x932,x933),f3(f3(a1,x931,a2),x932,x933))),
% 121.77/121.81 inference(scs_inference,[],[21,25,81,34,53,3,2,11,9,8,23,10,7,6,22,4])).
% 121.77/121.81 cnf(100,plain,
% 121.77/121.81 (P1(x1001,f3(a1,f3(x1002,x1001,a2),a2),f3(a1,a2,a2))),
% 121.77/121.81 inference(scs_inference,[],[26,25,14])).
% 121.77/121.81 cnf(101,plain,
% 121.77/121.81 (E(x1011,f3(a1,x1011,a2))),
% 121.77/121.81 inference(rename_variables,[],[25])).
% 121.77/121.81 cnf(102,plain,
% 121.77/121.81 (P1(f3(a1,x1021,a2),f3(x1022,x1021,a2),f3(a1,a2,a2))),
% 121.77/121.81 inference(scs_inference,[],[26,25,101,14,13])).
% 121.77/121.81 cnf(103,plain,
% 121.77/121.81 (P1(x1031,f3(x1032,x1031,a2),f3(a1,a2,a2))),
% 121.77/121.81 inference(rename_variables,[],[26])).
% 121.77/121.81 cnf(106,plain,
% 121.77/121.81 (~E(f3(a1,a6,a2),f4(x1061,x1062,x1063))),
% 121.77/121.81 inference(scs_inference,[],[26,103,25,101,32,14,13,15,2])).
% 121.77/121.81 cnf(107,plain,
% 121.77/121.81 (P1(x1071,f3(x1072,f3(a1,x1071,a2),a2),f3(a1,a2,a2))),
% 121.77/121.81 inference(scs_inference,[],[25,30,15])).
% 121.77/121.81 cnf(109,plain,
% 121.77/121.81 (E(f11(a9),f11(a10))),
% 121.77/121.81 inference(scs_inference,[],[25,30,71,15,2])).
% 121.77/121.81 cnf(110,plain,
% 121.77/121.81 (~P2(f7(f11(x1101)),f5(x1101),f3(a1,a8,a2))),
% 121.77/121.81 inference(scs_inference,[],[25,30,71,62,15,2,45])).
% 121.77/121.81 cnf(111,plain,
% 121.77/121.81 (P1(f4(x1111,x1112,x1113),f4(x1111,f3(a1,x1112,a2),x1113),a2)),
% 121.77/121.81 inference(scs_inference,[],[25,30,84,71,62,55,15,2,45,14])).
% 121.77/121.81 cnf(114,plain,
% 121.77/121.81 (P1(f3(a1,x1141,a2),f3(x1142,x1141,a2),f3(a1,f3(a1,a2,a2),a2))),
% 121.77/121.81 inference(scs_inference,[],[25,102,80,2,15])).
% 121.77/121.81 cnf(115,plain,
% 121.77/121.81 (E(x1151,f3(a1,x1151,a2))),
% 121.77/121.81 inference(rename_variables,[],[25])).
% 121.77/121.81 cnf(116,plain,
% 121.77/121.81 (~P2(x1161,x1162,x1163)+P2(x1161,f3(a1,x1162,a2),x1163)),
% 121.77/121.81 inference(scs_inference,[],[25,115,102,80,2,15,17])).
% 121.77/121.81 cnf(119,plain,
% 121.77/121.81 (P1(f3(a1,f3(a1,x1191,a2),a2),f3(x1192,x1191,a2),f3(a1,a2,a2))),
% 121.77/121.81 inference(scs_inference,[],[26,74,13])).
% 121.77/121.81 cnf(120,plain,
% 121.77/121.81 (E(x1201,f3(a1,f3(a1,x1201,a2),a2))),
% 121.77/121.81 inference(rename_variables,[],[74])).
% 121.77/121.81 cnf(121,plain,
% 121.77/121.81 (E(f11(a9),f11(f3(a1,a10,a2)))),
% 121.77/121.81 inference(scs_inference,[],[26,82,74,109,13,3])).
% 121.77/121.81 cnf(123,plain,
% 121.77/121.81 (E(f3(a1,f3(a1,x1231,a2),a2),x1231)),
% 121.77/121.81 inference(scs_inference,[],[26,82,74,120,109,13,3,2])).
% 121.77/121.81 cnf(127,plain,
% 121.77/121.81 (~E(f3(f4(x1271,x1272,x1273),x1274,f3(a1,a2,a2)),f3(a6,x1274,a2))),
% 121.77/121.81 inference(scs_inference,[],[90,43,3])).
% 121.77/121.81 cnf(129,plain,
% 121.77/121.82 (E(f3(x1291,x1292,x1293),f3(x1291,x1292,f3(a1,x1293,a2)))),
% 121.77/121.82 inference(rename_variables,[],[90])).
% 121.77/121.82 cnf(130,plain,
% 121.77/121.82 (P1(f3(a1,f3(a1,x1301,a2),f3(a1,a2,a2)),f3(x1302,x1301,a2),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[90,129,119,43,3,13])).
% 121.77/121.82 cnf(132,plain,
% 121.77/121.82 (P1(x1321,x1321,f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[107,123,14])).
% 121.77/121.82 cnf(134,plain,
% 121.77/121.82 (E(f4(f3(a1,x1341,a2),f3(a1,x1342,a2),x1343),f4(x1341,x1342,x1343))),
% 121.77/121.82 inference(scs_inference,[],[107,123,37,38,14,3])).
% 121.77/121.82 cnf(136,plain,
% 121.77/121.82 (~E(f3(a6,x1361,a2),f3(f4(x1362,x1363,x1364),x1361,f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[107,127,123,37,38,14,3,2])).
% 121.77/121.82 cnf(143,plain,
% 121.77/121.82 (P1(f11(f3(a1,x1431,a2)),f11(x1431),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[34,32,132,134,42,3,2,14])).
% 121.77/121.82 cnf(146,plain,
% 121.77/121.82 (E(f3(x1461,x1462,x1463),f3(f3(a1,x1461,a2),x1462,x1463))),
% 121.77/121.82 inference(rename_variables,[],[93])).
% 121.77/121.82 cnf(147,plain,
% 121.77/121.82 (~E(f3(f3(a1,a1,a2),a6,a2),f4(x1471,x1472,x1473))),
% 121.77/121.82 inference(scs_inference,[],[114,106,93,146,15,3])).
% 121.77/121.82 cnf(148,plain,
% 121.77/121.82 (E(f3(x1481,x1482,x1483),f3(f3(a1,x1481,a2),x1482,x1483))),
% 121.77/121.82 inference(rename_variables,[],[93])).
% 121.77/121.82 cnf(149,plain,
% 121.77/121.82 (P1(f3(f3(a1,a1,a2),f3(a1,x1491,a2),f3(a1,a2,a2)),f3(x1492,x1491,a2),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[130,114,106,93,146,148,15,3,13])).
% 121.77/121.82 cnf(151,plain,
% 121.77/121.82 (E(f3(x1511,f3(a1,x1512,a2),f3(a1,x1513,a2)),f3(x1511,x1512,x1513))),
% 121.77/121.82 inference(scs_inference,[],[40,41,3])).
% 121.77/121.82 cnf(156,plain,
% 121.77/121.82 (E(f3(x1561,f3(a1,x1562,a2),f3(a1,x1563,a2)),f3(x1561,x1562,x1563))),
% 121.77/121.82 inference(rename_variables,[],[151])).
% 121.77/121.82 cnf(157,plain,
% 121.77/121.82 (E(f11(f3(a1,a10,a2)),f11(a9))),
% 121.77/121.82 inference(scs_inference,[],[34,151,149,71,13,3])).
% 121.77/121.82 cnf(159,plain,
% 121.77/121.82 (E(f3(x1591,x1592,x1593),f3(x1591,f3(a1,x1592,a2),f3(a1,x1593,a2)))),
% 121.77/121.82 inference(scs_inference,[],[34,151,156,149,71,13,3,2])).
% 121.77/121.82 cnf(164,plain,
% 121.77/121.82 (E(f3(x1641,x1642,x1643),f3(x1641,f3(a1,x1642,a2),f3(a1,x1643,a2)))),
% 121.77/121.82 inference(rename_variables,[],[159])).
% 121.77/121.82 cnf(165,plain,
% 121.77/121.82 (~E(f3(f3(a1,a1,a2),f3(a1,a6,a2),f3(a1,a2,a2)),f4(x1651,x1652,x1653))),
% 121.77/121.82 inference(scs_inference,[],[159,164,58,147,14,3])).
% 121.77/121.82 cnf(169,plain,
% 121.77/121.82 (~E(f4(x1691,x1692,x1693),f3(f3(a1,a1,a2),f3(a1,a6,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[165,2])).
% 121.77/121.82 cnf(170,plain,
% 121.77/121.82 (E(f4(x1701,f3(a1,x1702,a2),f3(a1,x1703,a2)),f4(x1701,x1702,x1703))),
% 121.77/121.82 inference(scs_inference,[],[36,37,165,2,3])).
% 121.77/121.82 cnf(174,plain,
% 121.77/121.82 (P1(x1741,x1741,f3(a1,f3(a1,a2,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[67,132,15])).
% 121.77/121.82 cnf(175,plain,
% 121.77/121.82 (E(f3(x1751,x1752,x1753),f3(x1751,f3(a1,x1752,a2),x1753))),
% 121.77/121.82 inference(rename_variables,[],[67])).
% 121.77/121.82 cnf(177,plain,
% 121.77/121.82 (~E(f4(x1771,x1772,x1773),f3(f3(a1,a1,a2),a6,f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[169,170,67,175,132,15,2,3])).
% 121.77/121.82 cnf(179,plain,
% 121.77/121.82 (P1(f11(a9),f11(a10),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[169,170,143,157,67,175,132,15,2,3,13])).
% 121.77/121.82 cnf(185,plain,
% 121.77/121.82 (~E(f3(a1,f4(x1851,x1852,x1853),f3(a1,a2,a2)),a6)),
% 121.77/121.82 inference(scs_inference,[],[177,90,80,2,3])).
% 121.77/121.82 cnf(191,plain,
% 121.77/121.82 (E(x1911,f3(a1,x1911,f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[36,111,60,13,2])).
% 121.77/121.82 cnf(192,plain,
% 121.77/121.82 (E(f4(f3(a1,x1921,a2),x1922,f3(a1,x1923,a2)),f4(x1921,x1922,x1923))),
% 121.77/121.82 inference(scs_inference,[],[36,38,111,60,13,2,3])).
% 121.77/121.82 cnf(194,plain,
% 121.77/121.82 (P1(f11(a9),f3(a1,f11(a10),f3(a1,a2,a2)),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[191,179,14])).
% 121.77/121.82 cnf(197,plain,
% 121.77/121.82 (~E(f3(a6,x1971,a2),f3(f4(x1972,x1973,x1974),f3(a1,x1971,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[191,179,185,136,41,14,2,3])).
% 121.77/121.82 cnf(203,plain,
% 121.77/121.82 (P1(f11(a9),f11(a10),f3(a1,f3(a1,a2,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[174,192,109,159,43,2,3,14])).
% 121.77/121.82 cnf(207,plain,
% 121.77/121.82 (P1(f3(a1,x2071,a2),f3(x2072,x2071,a2),f3(a1,f3(a1,a2,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[191,102,15])).
% 121.77/121.82 cnf(209,plain,
% 121.77/121.82 (E(f4(f3(a1,x2091,a2),f3(a1,x2092,a2),f3(a1,x2093,a2)),f4(x2091,x2092,x2093))),
% 121.77/121.82 inference(scs_inference,[],[38,170,191,102,15,3])).
% 121.77/121.82 cnf(214,plain,
% 121.77/121.82 (~E(f3(a6,x2141,a2),f3(f4(x2142,x2143,x2144),f3(a1,x2141,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[197,90,3])).
% 121.77/121.82 cnf(220,plain,
% 121.77/121.82 (E(f4(x2201,x2202,x2203),f4(f3(a1,x2201,a2),f3(a1,x2202,a2),f3(a1,x2203,a2)))),
% 121.77/121.82 inference(scs_inference,[],[39,209,132,13,2])).
% 121.77/121.82 cnf(221,plain,
% 121.77/121.82 (~E(f3(f3(a1,a1,a2),f3(a1,a6,a2),a2),f4(x2211,x2212,x2213))),
% 121.77/121.82 inference(scs_inference,[],[39,40,209,165,132,13,2,3])).
% 121.77/121.82 cnf(229,plain,
% 121.77/121.82 (P1(f11(a9),f3(a1,f11(a10),a2),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[40,194,14])).
% 121.77/121.82 cnf(230,plain,
% 121.77/121.82 (E(f3(x2301,x2302,f3(a1,x2303,a2)),f3(x2301,x2302,x2303))),
% 121.77/121.82 inference(rename_variables,[],[40])).
% 121.77/121.82 cnf(231,plain,
% 121.77/121.82 (~E(f4(x2311,x2312,x2313),f3(f3(a1,a1,a2),f3(a1,a6,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[40,221,194,14,2])).
% 121.77/121.82 cnf(232,plain,
% 121.77/121.82 (E(f3(f3(a1,x2321,a2),x2322,f3(a1,x2323,a2)),f3(x2321,x2322,x2323))),
% 121.77/121.82 inference(scs_inference,[],[40,230,221,194,42,14,2,3])).
% 121.77/121.82 cnf(234,plain,
% 121.77/121.82 (E(f3(x2341,x2342,x2343),f3(f3(a1,x2341,a2),x2342,f3(a1,x2343,a2)))),
% 121.77/121.82 inference(scs_inference,[],[232,2])).
% 121.77/121.82 cnf(235,plain,
% 121.77/121.82 (~E(f4(x2351,x2352,x2353),f3(a1,f3(a1,a6,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[231,232,93,2,3])).
% 121.77/121.82 cnf(240,plain,
% 121.77/121.82 (E(f3(x2401,x2402,x2403),f3(f3(a1,x2401,a2),x2402,f3(a1,x2403,a2)))),
% 121.77/121.82 inference(rename_variables,[],[234])).
% 121.77/121.82 cnf(242,plain,
% 121.77/121.82 (~E(f3(f3(a1,a1,a2),f4(x2421,x2422,x2423),f3(a1,a2,a2)),a6)),
% 121.77/121.82 inference(scs_inference,[],[235,234,240,179,80,15,2,3])).
% 121.77/121.82 cnf(244,plain,
% 121.77/121.82 (~P2(x2441,f3(x2442,x2443,f3(a1,x2444,a2)),x2445)+P2(x2441,f3(x2442,x2443,x2444),x2445)),
% 121.77/121.82 inference(scs_inference,[],[40,235,234,240,179,80,15,2,3,17])).
% 121.77/121.82 cnf(246,plain,
% 121.77/121.82 (E(f3(f3(a1,x2461,a2),f3(a1,x2462,a2),x2463),f3(x2461,x2462,x2463))),
% 121.77/121.82 inference(scs_inference,[],[41,42,3])).
% 121.77/121.82 cnf(247,plain,
% 121.77/121.82 (E(f3(x2471,f3(a1,x2472,a2),x2473),f3(x2471,x2472,x2473))),
% 121.77/121.82 inference(rename_variables,[],[41])).
% 121.77/121.82 cnf(250,plain,
% 121.77/121.82 (E(f3(x2501,x2502,x2503),f3(f3(a1,x2501,a2),f3(a1,x2502,a2),x2503))),
% 121.77/121.82 inference(scs_inference,[],[41,247,42,207,3,15,2])).
% 121.77/121.82 cnf(251,plain,
% 121.77/121.82 (~E(a6,f3(f3(a1,a1,a2),f4(x2511,x2512,x2513),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[242,2])).
% 121.77/121.82 cnf(253,plain,
% 121.77/121.82 (P1(f3(f3(a1,a1,a2),x2531,f3(a1,a2,a2)),f3(x2532,x2531,a2),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[41,121,242,149,2,18,13])).
% 121.77/121.82 cnf(255,plain,
% 121.77/121.82 (E(f3(x2551,f3(a1,x2552,a2),x2553),f3(x2551,x2552,x2553))),
% 121.77/121.82 inference(rename_variables,[],[41])).
% 121.77/121.82 cnf(256,plain,
% 121.77/121.82 (E(f3(f3(a1,x2561,a2),f3(a1,x2562,a2),f3(a1,x2563,a2)),f3(x2561,x2562,x2563))),
% 121.77/121.82 inference(scs_inference,[],[41,255,121,242,232,149,2,18,13,3])).
% 121.77/121.82 cnf(260,plain,
% 121.77/121.82 (E(f3(x2601,x2602,x2603),f3(f3(a1,x2601,a2),f3(a1,x2602,a2),f3(a1,x2603,a2)))),
% 121.77/121.82 inference(scs_inference,[],[256,82,179,14,2])).
% 121.77/121.82 cnf(261,plain,
% 121.77/121.82 (~E(a6,f3(f3(a1,a1,a2),f4(x2611,x2612,x2613),a2))),
% 121.77/121.82 inference(scs_inference,[],[256,251,82,179,90,14,2,3])).
% 121.77/121.82 cnf(263,plain,
% 121.77/121.82 (P1(f3(a1,x2631,f3(a1,a2,a2)),f3(x2632,x2631,a2),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[42,253,256,251,82,179,90,14,2,3,13])).
% 121.77/121.82 cnf(265,plain,
% 121.77/121.82 (P2(x2651,f3(a1,x2652,a2),x2653)+~P2(x2651,x2652,f3(a1,x2653,a2))),
% 121.77/121.82 inference(scs_inference,[],[116,45])).
% 121.77/121.82 cnf(267,plain,
% 121.77/121.82 (~E(f3(a1,f3(a1,a6,a2),f3(a1,a2,a2)),f4(x2671,x2672,x2673))),
% 121.77/121.82 inference(scs_inference,[],[42,261,165,2,3])).
% 121.77/121.82 cnf(272,plain,
% 121.77/121.82 (E(f3(x2721,x2722,x2723),f3(f3(a1,x2721,a2),f3(a1,x2722,a2),f3(a1,x2723,a2)))),
% 121.77/121.82 inference(rename_variables,[],[260])).
% 121.77/121.82 cnf(273,plain,
% 121.77/121.82 (E(x2731,f3(f3(a1,a1,a2),f3(a1,x2731,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[260,272,102,25,15,3])).
% 121.77/121.82 cnf(276,plain,
% 121.77/121.82 (E(f3(f3(a1,a1,a2),f3(a1,x2761,a2),f3(a1,a2,a2)),x2761)),
% 121.77/121.82 inference(scs_inference,[],[260,272,102,25,15,3,2])).
% 121.77/121.82 cnf(279,plain,
% 121.77/121.82 (E(x2791,f3(f3(a1,a1,a2),f3(a1,x2791,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(rename_variables,[],[273])).
% 121.77/121.82 cnf(280,plain,
% 121.77/121.82 (~P2(x2801,x2802,x2803)+P2(x2801,f3(f3(a1,a1,a2),f3(a1,x2802,a2),f3(a1,a2,a2)),x2803)),
% 121.77/121.82 inference(scs_inference,[],[55,273,279,267,2,15,17])).
% 121.77/121.82 cnf(285,plain,
% 121.77/121.82 (P1(f3(f3(a1,a1,a2),f3(a1,x2851,a2),f3(a1,a2,a2)),x2851,a2)),
% 121.77/121.82 inference(scs_inference,[],[55,276,14])).
% 121.77/121.82 cnf(290,plain,
% 121.77/121.82 (E(f3(a1,x2901,f3(a1,a2,a2)),x2901)),
% 121.77/121.82 inference(rename_variables,[],[60])).
% 121.77/121.82 cnf(291,plain,
% 121.77/121.82 (P1(f3(a1,x2911,f3(a1,a2,a2)),x2911,a2)),
% 121.77/121.82 inference(scs_inference,[],[55,60,290,106,3,14])).
% 121.77/121.82 cnf(294,plain,
% 121.77/121.82 (~E(f3(a1,f4(x2941,x2942,x2943),f3(a1,a2,a2)),f3(a1,a6,a2))),
% 121.77/121.82 inference(scs_inference,[],[55,60,290,83,106,3,14,18,2])).
% 121.77/121.82 cnf(295,plain,
% 121.77/121.82 (P1(x2951,f3(x2952,x2951,a2),f3(f3(a1,a1,a2),f3(a1,a2,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[273,20,15])).
% 121.77/121.82 cnf(297,plain,
% 121.77/121.82 (E(f3(a1,f11(a10),f3(a1,a2,a2)),f11(a9))),
% 121.77/121.82 inference(scs_inference,[],[60,273,71,20,15,3])).
% 121.77/121.82 cnf(300,plain,
% 121.77/121.82 (~E(f3(a1,f4(x3001,x3002,x3003),a2),f3(a1,a6,a2))),
% 121.77/121.82 inference(scs_inference,[],[294,40,3])).
% 121.77/121.82 cnf(304,plain,
% 121.77/121.82 (P1(f3(f3(a1,a1,a2),x3041,a2),x3041,a2)),
% 121.77/121.82 inference(scs_inference,[],[285,151,13])).
% 121.77/121.82 cnf(307,plain,
% 121.77/121.82 (E(f3(a1,f11(a9),f3(a1,a2,a2)),f11(a10))),
% 121.77/121.82 inference(scs_inference,[],[60,285,151,109,13,3])).
% 121.77/121.82 cnf(311,plain,
% 121.77/121.82 (E(f3(x3111,x3112,x3113),f3(f3(a1,x3111,a2),x3112,f3(a1,x3113,a2)))),
% 121.77/121.82 inference(rename_variables,[],[234])).
% 121.77/121.82 cnf(312,plain,
% 121.77/121.82 (~E(f3(f3(a1,a1,a2),f4(x3121,x3122,x3123),f3(a1,a2,a2)),f3(a1,a6,a2))),
% 121.77/121.82 inference(scs_inference,[],[229,300,234,311,14,3])).
% 121.77/121.82 cnf(318,plain,
% 121.77/121.82 (~E(f3(a1,a6,a2),f3(f3(a1,a1,a2),f4(x3181,x3182,x3183),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[312,2])).
% 121.77/121.82 cnf(319,plain,
% 121.77/121.82 (E(f3(a1,f3(a1,x3191,a2),f3(a1,a2,a2)),x3191)),
% 121.77/121.82 inference(scs_inference,[],[60,312,41,2,3])).
% 121.77/121.82 cnf(321,plain,
% 121.77/121.82 (P1(f3(a1,x3211,a2),x3211,f3(f3(a1,a1,a2),f3(a1,a2,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[60,312,295,123,41,2,3,14])).
% 121.77/121.82 cnf(323,plain,
% 121.77/121.82 (E(x3231,f3(a1,f3(a1,x3231,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[319,2])).
% 121.77/121.82 cnf(325,plain,
% 121.77/121.82 (P1(x3251,f3(x3252,x3251,a2),f3(a1,f3(a1,a2,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[323,20,15])).
% 121.77/121.82 cnf(327,plain,
% 121.77/121.82 (~P2(x3271,x3272,f3(x3273,x3274,x3275))+P2(x3271,x3272,f3(x3273,f3(a1,x3274,a2),x3275))),
% 121.77/121.82 inference(scs_inference,[],[67,323,20,15,18])).
% 121.77/121.82 cnf(331,plain,
% 121.77/121.82 (E(f11(a10),f11(f3(a1,a9,a2)))),
% 121.77/121.82 inference(scs_inference,[],[71,67,291,82,13,3])).
% 121.77/121.82 cnf(336,plain,
% 121.77/121.82 (P1(f3(a1,x3361,a2),x3361,f3(a1,f3(a1,a2,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[325,123,14])).
% 121.77/121.82 cnf(338,plain,
% 121.77/121.82 (P1(f11(a9),f3(x3381,f11(a10),a2),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[263,297,13])).
% 121.77/121.82 cnf(345,plain,
% 121.77/121.82 (P1(f3(f3(a1,a1,a2),f11(a10),a2),f11(a9),a2)),
% 121.77/121.82 inference(scs_inference,[],[71,304,14])).
% 121.77/121.82 cnf(349,plain,
% 121.77/121.82 (~P2(x3491,x3492,x3493)+P2(x3491,x3492,f3(a1,f3(a1,x3493,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[74,132,13,18])).
% 121.77/121.82 cnf(351,plain,
% 121.77/121.82 (~E(f3(a1,a6,a2),f3(f3(a1,a1,a2),f4(x3511,x3512,x3513),a2))),
% 121.77/121.82 inference(scs_inference,[],[318,90,3])).
% 121.77/121.82 cnf(375,plain,
% 121.77/121.82 (P1(f3(a1,x3751,a2),x3751,f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[321,256,15])).
% 121.77/121.82 cnf(380,plain,
% 121.77/121.82 (P1(f11(a9),f11(f3(a1,a9,a2)),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[331,179,14])).
% 121.77/121.82 cnf(393,plain,
% 121.77/121.82 (P1(f3(f3(a1,a1,a2),f3(a1,x3931,a2),f3(a1,a2,a2)),x3931,f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[375,260,13])).
% 121.77/121.82 cnf(397,plain,
% 121.77/121.82 (P1(f3(a1,x3971,f3(a1,a2,a2)),x3971,f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[393,246,13])).
% 121.77/121.82 cnf(400,plain,
% 121.77/121.82 (E(x4001,f3(f3(a1,a1,a2),f3(a1,x4001,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[89,393,250,246,25,13,15,3])).
% 121.77/121.82 cnf(419,plain,
% 121.77/121.82 (E(f3(f3(a1,a1,a2),f3(a1,x4191,a2),a2),x4191)),
% 121.77/121.82 inference(scs_inference,[],[400,2])).
% 121.77/121.82 cnf(428,plain,
% 121.77/121.82 (E(f3(a1,f11(a9),a2),f11(a10))),
% 121.77/121.82 inference(scs_inference,[],[90,100,93,220,307,25,13,15,14,3])).
% 121.77/121.82 cnf(439,plain,
% 121.77/121.82 (E(f3(x4391,x4392,x4393),f3(f3(a1,x4391,a2),x4392,x4393))),
% 121.77/121.82 inference(rename_variables,[],[93])).
% 121.77/121.82 cnf(441,plain,
% 121.77/121.82 (P1(f3(f3(a1,a1,a2),x4411,f3(a1,a2,a2)),x4411,f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[93,439,102,428,397,15,2,13])).
% 121.77/121.82 cnf(455,plain,
% 121.77/121.82 (E(f3(f3(a1,a1,a2),f11(a9),f3(a1,a2,a2)),f11(a10))),
% 121.77/121.82 inference(scs_inference,[],[428,232,3])).
% 121.77/121.82 cnf(467,plain,
% 121.77/121.82 (P1(f11(a10),f11(a9),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[441,455,13])).
% 121.77/121.82 cnf(477,plain,
% 121.77/121.82 (E(f3(f3(a1,a1,a2),x4771,a2),x4771)),
% 121.77/121.82 inference(scs_inference,[],[419,67,3])).
% 121.77/121.82 cnf(484,plain,
% 121.77/121.82 (P1(x4841,f3(f3(a1,x4842,a2),f3(a1,x4841,a2),f3(a1,a2,a2)),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[107,109,477,400,234,55,15,3,14])).
% 121.77/121.82 cnf(499,plain,
% 121.77/121.82 (P1(f11(a10),f11(a9),a2)),
% 121.77/121.82 inference(scs_inference,[],[345,477,13])).
% 121.77/121.82 cnf(504,plain,
% 121.77/121.82 (~P2(f7(f11(a9)),f5(a10),a8)),
% 121.77/121.82 inference(scs_inference,[],[499,24])).
% 121.77/121.82 cnf(512,plain,
% 121.77/121.82 (~P2(f7(f11(a9)),f5(a10),f3(a1,a8,a2))),
% 121.77/121.82 inference(scs_inference,[],[111,336,499,455,209,319,71,24,15,3,14,45])).
% 121.77/121.82 cnf(532,plain,
% 121.77/121.82 (P1(f11(a9),f11(a10),a2)),
% 121.77/121.82 inference(scs_inference,[],[123,203,15])).
% 121.77/121.82 cnf(534,plain,
% 121.77/121.82 (~P2(f7(f11(a10)),f5(a9),a8)),
% 121.77/121.82 inference(scs_inference,[],[123,203,15,24])).
% 121.77/121.82 cnf(536,plain,
% 121.77/121.82 (~P2(f7(f11(a10)),f5(a9),f3(a1,a8,a2))),
% 121.77/121.82 inference(scs_inference,[],[123,203,15,24,45])).
% 121.77/121.82 cnf(579,plain,
% 121.77/121.82 (E(x5791,f3(f3(a1,a1,a2),x5791,a2))),
% 121.77/121.82 inference(scs_inference,[],[132,134,477,14,2])).
% 121.77/121.82 cnf(622,plain,
% 121.77/121.82 (~P2(f3(x6221,f3(a1,x6222,a2),f3(a1,x6223,a2)),x6224,x6225)+P2(f3(x6221,x6222,x6223),x6224,x6225)),
% 121.77/121.82 inference(scs_inference,[],[151,16])).
% 121.77/121.82 cnf(679,plain,
% 121.77/121.82 (~P2(x6791,x6792,f3(x6793,x6794,x6795))+P2(x6791,x6792,f3(x6793,f3(a1,x6794,a2),f3(a1,x6795,a2)))),
% 121.77/121.82 inference(scs_inference,[],[159,18])).
% 121.77/121.82 cnf(713,plain,
% 121.77/121.82 (E(x7131,f3(a1,x7131,f3(a1,a2,a2)))),
% 121.77/121.82 inference(rename_variables,[],[191])).
% 121.77/121.82 cnf(714,plain,
% 121.77/121.82 (P1(f3(a1,x7141,a2),f3(a1,x7141,f3(a1,a2,a2)),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[191,713,375,499,15,14])).
% 121.77/121.82 cnf(727,plain,
% 121.77/121.82 (E(x7271,f3(a1,x7271,f3(a1,a2,a2)))),
% 121.77/121.82 inference(rename_variables,[],[191])).
% 121.77/121.82 cnf(728,plain,
% 121.77/121.82 (~P2(x7281,x7282,x7283)+P2(x7281,x7282,f3(a1,x7283,f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[191,727,20,15,18])).
% 121.77/121.82 cnf(729,plain,
% 121.77/121.82 (P2(x7291,x7292,f3(a1,x7293,f3(a1,a2,a2)))+~P2(x7291,x7292,f3(a1,x7293,a2))),
% 121.77/121.82 inference(scs_inference,[],[728,45])).
% 121.77/121.82 cnf(732,plain,
% 121.77/121.82 (~P2(f7(f11(a9)),f5(a10),f3(a1,f3(a1,f3(a1,a8,a2),a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[512,319,729,18])).
% 121.77/121.82 cnf(778,plain,
% 121.77/121.82 (~P2(x7781,x7782,x7783)+P2(x7781,x7782,f3(a1,f3(a1,x7783,a2),f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[323,18])).
% 121.77/121.82 cnf(791,plain,
% 121.77/121.82 (P1(f3(a1,f11(a10),a2),f11(a9),f3(a1,a2,a2))),
% 121.77/121.82 inference(scs_inference,[],[714,297,14])).
% 121.77/121.82 cnf(798,plain,
% 121.77/121.82 (E(f3(x7981,x7982,x7983),f3(f3(a1,x7981,a2),x7982,f3(a1,x7983,a2)))),
% 121.77/121.82 inference(rename_variables,[],[234])).
% 121.77/121.82 cnf(799,plain,
% 121.77/121.82 (E(x7991,f3(f3(a1,a1,a2),x7991,f3(a1,a2,a2)))),
% 121.77/121.82 inference(scs_inference,[],[234,798,375,25,15,3])).
% 121.77/121.82 cnf(803,plain,
% 121.77/121.82 (E(f3(f3(a1,a1,a2),x8031,f3(a1,a2,a2)),x8031)),
% 121.77/121.82 inference(scs_inference,[],[799,2])).
% 121.77/121.82 cnf(805,plain,
% 121.77/121.82 (~P2(f3(f3(a1,x8051,a2),x8052,f3(a1,x8053,a2)),x8054,x8055)+P2(f3(x8051,x8052,x8053),x8054,x8055)),
% 121.77/121.82 inference(scs_inference,[],[232,16])).
% 121.77/121.82 cnf(806,plain,
% 121.77/121.82 (~P2(f3(f3(a1,x8061,a2),x8062,f3(a1,x8063,a2)),f3(x8064,x8065,x8066),x8067)+P2(f3(x8061,x8062,x8063),f3(f3(a1,x8064,a2),x8065,f3(a1,x8066,a2)),x8067)),
% 121.77/121.82 inference(scs_inference,[],[232,234,16,17])).
% 121.77/121.82 cnf(816,plain,
% 121.77/121.82 (E(f3(x8161,x8162,x8163),f3(f3(a1,x8161,a2),x8162,f3(a1,x8163,a2)))),
% 121.77/121.82 inference(rename_variables,[],[234])).
% 121.77/121.82 cnf(818,plain,
% 121.77/121.82 (E(f3(x8181,x8182,x8183),f3(f3(a1,x8181,a2),x8182,f3(a1,x8183,a2)))),
% 121.77/121.82 inference(rename_variables,[],[234])).
% 121.77/121.82 cnf(819,plain,
% 121.77/121.82 (~P2(x8191,x8192,f3(x8193,x8194,x8195))+P2(x8191,x8192,f3(f3(a1,x8193,a2),x8194,f3(a1,x8195,a2)))),
% 121.77/121.82 inference(scs_inference,[],[234,816,818,338,467,14,15,18])).
% 121.77/121.82 cnf(822,plain,
% 121.77/121.82 (P1(f3(f3(a1,a1,a2),f3(a1,x8221,a2),f3(a1,a2,a2)),f3(x8222,x8221,a2),a2)),
% 121.77/121.82 inference(scs_inference,[],[799,58,13])).
% 121.77/121.82 cnf(823,plain,
% 121.77/121.82 (E(x8231,f3(f3(a1,a1,a2),x8231,f3(a1,a2,a2)))),
% 121.77/121.82 inference(rename_variables,[],[799])).
% 121.77/121.82 cnf(824,plain,
% 121.77/121.82 (~P2(x8241,x8242,x8243)+P2(f3(f3(a1,a1,a2),x8241,f3(a1,a2,a2)),x8242,x8243)),
% 121.77/121.82 inference(scs_inference,[],[799,823,58,13,16])).
% 121.77/121.82 cnf(853,plain,
% 121.77/121.82 (E(f3(f3(a1,x8531,a2),f3(a1,x8532,a2),x8533),f3(x8531,x8532,x8533))),
% 121.77/121.82 inference(rename_variables,[],[246])).
% 121.77/121.82 cnf(856,plain,
% 121.77/121.82 (E(f3(f3(a1,x8561,a2),f3(a1,x8562,a2),x8563),f3(x8561,x8562,x8563))),
% 121.77/121.82 inference(rename_variables,[],[246])).
% 121.77/121.82 cnf(857,plain,
% 121.77/121.82 (~P2(f3(f3(a1,x8571,a2),f3(a1,x8572,a2),x8573),x8574,x8575)+P2(f3(x8571,x8572,x8573),x8574,x8575)),
% 121.77/121.82 inference(scs_inference,[],[246,853,856,822,484,13,14,16])).
% 121.77/121.82 cnf(858,plain,
% 121.77/121.82 (~P2(f3(f3(a1,x8581,a2),f3(a1,x8582,a2),x8583),f3(x8584,x8585,x8586),x8587)+P2(f3(x8581,x8582,x8583),f3(f3(a1,x8584,a2),f3(a1,x8585,a2),x8586),x8587)),
% 121.77/121.82 inference(scs_inference,[],[246,853,856,250,822,484,13,14,16,17])).
% 121.77/121.82 cnf(879,plain,
% 121.77/121.82 (~P2(f3(f3(a1,x8791,a2),f3(a1,x8792,a2),f3(a1,x8793,a2)),x8794,x8795)+P2(f3(x8791,x8792,x8793),x8794,x8795)),
% 121.77/121.82 inference(scs_inference,[],[256,579,102,14,16])).
% 121.77/121.82 cnf(922,plain,
% 121.77/121.82 (~P2(x9221,x9222,x9223)+P2(f3(f3(a1,a1,a2),f3(a1,x9221,a2),a2),x9222,x9223)),
% 121.77/121.82 inference(scs_inference,[],[400,16])).
% 121.77/121.82 cnf(980,plain,
% 121.77/121.82 (~P2(x9801,x9802,x9803)+P2(f3(a1,f3(a1,x9801,a2),f3(a1,a2,a2)),x9802,x9803)),
% 121.77/121.82 inference(scs_inference,[],[323,16])).
% 121.77/121.82 cnf(982,plain,
% 121.77/121.82 (P2(f3(a1,f3(a1,x9821,a2),f3(a1,a2,a2)),x9822,x9823)+~P2(x9821,x9822,f3(a1,x9823,a2))),
% 121.77/121.82 inference(scs_inference,[],[980,45])).
% 121.77/121.82 cnf(990,plain,
% 121.77/121.82 (~P2(f7(f11(a10)),f5(a9),f3(a1,f3(a1,a8,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[536,319,982,16])).
% 121.77/121.82 cnf(1026,plain,
% 121.77/121.82 (~P2(x10261,x10262,x10263)+P2(f3(f3(a1,a1,a2),x10261,a2),x10262,x10263)),
% 121.77/121.82 inference(scs_inference,[],[380,579,109,13,16])).
% 121.77/121.82 cnf(1027,plain,
% 121.77/121.82 (~P2(x10271,f3(f3(a1,a1,a2),f3(a1,x10272,a2),f3(a1,a2,a2)),x10273)+P2(f3(f3(a1,a1,a2),x10271,a2),x10272,x10273)),
% 121.77/121.82 inference(scs_inference,[],[380,276,579,109,13,16,17])).
% 121.77/121.82 cnf(1028,plain,
% 121.77/121.82 (P2(f3(f3(a1,a1,a2),x10281,a2),x10282,x10283)+~P2(x10281,x10282,f3(a1,x10283,a2))),
% 121.77/121.82 inference(scs_inference,[],[1026,45])).
% 121.77/121.82 cnf(1032,plain,
% 121.77/121.82 (~P2(f3(a1,f7(f11(x10321)),a2),f5(x10321),f3(a1,f3(a1,a8,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[110,419,1028,16])).
% 121.77/121.82 cnf(1049,plain,
% 121.77/121.82 (~P2(x10491,x10492,x10493)+P2(x10491,x10492,f3(f3(a1,a1,a2),f3(a1,x10493,a2),a2))),
% 121.77/121.82 inference(scs_inference,[],[400,18])).
% 121.77/121.82 cnf(1132,plain,
% 121.77/121.82 (~P2(f3(x11321,x11322,x11323),x11324,x11325)+P2(f3(f3(a1,x11321,a2),f3(a1,x11322,a2),f3(a1,x11323,a2)),x11324,x11325)),
% 121.77/121.82 inference(scs_inference,[],[260,16])).
% 121.77/121.82 cnf(1164,plain,
% 121.77/121.82 (~P2(f3(x11641,x11642,x11643),x11644,x11645)+P2(f3(f3(a1,x11641,a2),f3(a1,x11642,a2),x11643),x11644,x11645)),
% 121.77/121.82 inference(scs_inference,[],[250,16])).
% 121.77/121.82 cnf(1174,plain,
% 121.77/121.82 (~P2(f3(x11741,x11742,x11743),x11744,x11745)+P2(f3(x11741,f3(a1,x11742,a2),f3(a1,x11743,a2)),x11744,x11745)),
% 121.77/121.82 inference(scs_inference,[],[159,16])).
% 121.77/121.82 cnf(1181,plain,
% 121.77/121.82 (~P2(f3(f3(a1,x11811,a2),x11812,x11813),x11814,x11815)+P2(f3(x11811,x11812,x11813),x11814,x11815)),
% 121.77/121.82 inference(scs_inference,[],[42,16])).
% 121.77/121.82 cnf(1182,plain,
% 121.77/121.82 (P2(f3(x11821,x11822,x11823),x11824,x11825)+~P2(f3(f3(a1,x11821,a2),x11822,x11823),x11824,f3(a1,x11825,a2))),
% 121.77/121.82 inference(scs_inference,[],[1181,45])).
% 121.77/121.82 cnf(1183,plain,
% 121.77/121.82 (~P2(f3(f3(a1,f3(a1,a1,a2),a2),f3(a1,f7(f11(a9)),a2),f3(a1,a2,a2)),f5(a10),f3(a1,a8,a2))),
% 121.77/121.82 inference(scs_inference,[],[504,276,1182,16])).
% 121.77/121.82 cnf(1188,plain,
% 121.77/121.82 (~P2(f7(x11881),x11882,x11883)+P2(f7(f3(a1,x11881,a2)),x11882,x11883)),
% 121.77/121.82 inference(scs_inference,[],[83,16])).
% 121.77/121.82 cnf(1225,plain,
% 121.77/121.82 (~P2(x12251,f3(x12252,f3(a1,x12253,a2),f3(a1,x12254,a2)),x12255)+P2(x12251,f3(x12252,x12253,x12254),x12255)),
% 121.77/121.82 inference(scs_inference,[],[151,17])).
% 121.77/121.82 cnf(1237,plain,
% 121.77/121.82 (P2(f3(f3(a1,x12371,a2),f3(a1,x12372,a2),f3(a1,x12373,a2)),x12374,x12375)+~P2(f3(x12371,x12372,x12373),x12374,f3(a1,x12375,a2))),
% 121.77/121.82 inference(scs_inference,[],[1132,45])).
% 121.77/121.82 cnf(1268,plain,
% 121.77/121.82 (~P2(x12681,f3(a1,x12682,a2),x12683)+P2(x12681,x12682,x12683)),
% 121.77/121.82 inference(scs_inference,[],[19,17])).
% 121.77/121.82 cnf(1270,plain,
% 121.77/121.82 (~P2(f7(f11(x12701)),f3(a1,f5(x12701),a2),a8)),
% 121.77/121.82 inference(scs_inference,[],[55,1268,24])).
% 121.77/121.82 cnf(1281,plain,
% 121.77/121.82 (~P2(f3(a1,x12811,a2),x12812,x12813)+P2(x12811,x12812,x12813)),
% 121.77/121.82 inference(scs_inference,[],[19,16])).
% 121.77/121.82 cnf(1282,plain,
% 121.77/121.82 (~P2(f3(a1,f7(f11(a10)),a2),f5(a9),a8)),
% 121.77/121.82 inference(scs_inference,[],[532,1281,24])).
% 121.77/121.82 cnf(1291,plain,
% 121.77/121.82 (~P2(x12911,x12912,x12913)+P2(f3(a1,x12911,a2),x12912,x12913)),
% 121.77/121.82 inference(scs_inference,[],[19,2,16])).
% 121.77/121.82 cnf(1292,plain,
% 121.77/121.82 (P2(f3(a1,x12921,a2),x12922,x12923)+~P2(x12921,x12922,f3(a1,x12923,a2))),
% 121.77/121.82 inference(scs_inference,[],[1291,45])).
% 121.77/121.82 cnf(1304,plain,
% 121.77/121.82 (~P2(x13041,x13042,x13043)+P2(x13041,x13042,f3(a1,x13043,a2))),
% 121.77/121.82 inference(scs_inference,[],[25,18])).
% 121.77/121.82 cnf(1329,plain,
% 121.77/121.82 (E(f7(f5(f11(a10))),f7(f5(f11(a9))))),
% 121.77/121.82 inference(scs_inference,[],[71,7,11])).
% 121.77/121.82 cnf(1334,plain,
% 121.77/121.82 (E(f5(x13341),f5(x13342))+P2(f7(x13342),f5(a9),a8)+P2(f7(x13341),f5(a10),a8)),
% 121.77/121.82 inference(scs_inference,[],[7,22])).
% 121.77/121.82 cnf(1335,plain,
% 121.77/121.82 (E(f5(x13351),f5(x13352))+P2(f7(x13352),f5(a10),a8)+P2(f7(x13351),f5(a9),a8)),
% 121.77/121.82 inference(scs_inference,[],[1334,2])).
% 121.77/121.82 cnf(1336,plain,
% 121.77/121.82 (P2(f7(x13361),f5(a9),a8)+P2(f7(x13362),f5(a10),a8)+E(f3(x13363,x13364,f5(x13361)),f3(x13363,x13364,f5(x13362)))),
% 121.77/121.82 inference(scs_inference,[],[1335,6])).
% 121.77/121.82 cnf(1338,plain,
% 121.77/121.82 (E(f5(x13381),f5(x13382))+~E(f3(x13381,x13383,a2),f3(x13382,x13383,a2))),
% 121.77/121.82 inference(scs_inference,[],[7,23])).
% 121.77/121.82 cnf(1345,plain,
% 121.77/121.82 (E(f5(f5(x13451)),f5(f5(x13452)))+P2(f7(x13451),f5(a9),a8)+P2(f7(x13452),f5(a10),a8)),
% 121.77/121.82 inference(scs_inference,[],[7,1335])).
% 121.77/121.82 cnf(1348,plain,
% 121.77/121.82 (E(f3(f5(f3(a1,x13481,a2)),x13482,x13483),f3(f5(x13481),x13482,x13483))),
% 121.77/121.82 inference(scs_inference,[],[19,7,4])).
% 121.77/121.82 cnf(1366,plain,
% 121.77/121.82 (E(f7(x13661),f7(x13662))+P2(f7(x13662),f5(a9),a8)+P2(f7(x13661),f5(a10),a8)),
% 121.77/121.82 inference(scs_inference,[],[11,22])).
% 121.77/121.82 cnf(1367,plain,
% 121.77/121.82 (P1(f7(x13671),f7(x13672),a2)+P2(f7(x13672),f5(a10),a8)+P2(f7(x13671),f5(a9),a8)),
% 121.77/121.82 inference(scs_inference,[],[55,1366,13])).
% 121.77/121.82 cnf(1368,plain,
% 121.77/121.82 (P1(f7(x13681),f3(a1,f7(x13682),a2),a2)+P2(f7(x13681),f5(a9),a8)+P2(f7(x13682),f5(a10),a8)),
% 121.77/121.82 inference(scs_inference,[],[25,1367,14])).
% 121.77/121.82 cnf(1370,plain,
% 121.77/121.82 (E(f7(f5(x13701)),f7(f5(x13702)))+P2(f7(x13702),f5(a9),a8)+P2(f7(x13701),f5(a10),a8)),
% 121.77/121.82 inference(scs_inference,[],[11,1334])).
% 121.77/121.82 cnf(1372,plain,
% 121.77/121.82 (E(f7(f11(a10)),f7(f3(a1,f11(a9),a2)))),
% 121.77/121.82 inference(scs_inference,[],[71,25,11,3])).
% 121.77/121.82 cnf(1373,plain,
% 121.77/121.82 (P1(f7(f11(a9)),f7(f11(a10)),a2)),
% 121.77/121.82 inference(scs_inference,[],[71,55,11,13])).
% 121.77/121.82 cnf(1374,plain,
% 121.77/121.82 (E(f7(x13741),f7(x13742))+~E(f3(x13741,x13743,a2),f3(x13742,x13743,a2))),
% 121.77/121.82 inference(scs_inference,[],[11,23])).
% 121.77/121.82 cnf(1398,plain,
% 121.77/121.82 (E(f11(x13981),f11(x13982))+P2(f7(x13981),f5(a10),a8)+P2(f7(x13982),f5(a9),a8)),
% 121.77/121.82 inference(scs_inference,[],[12,22])).
% 121.77/121.82 cnf(1399,plain,
% 121.77/121.82 (P1(f11(x13991),f11(x13992),a2)+P2(f7(x13991),f5(a9),a8)+P2(f7(x13992),f5(a10),a8)),
% 121.77/121.82 inference(scs_inference,[],[55,1398,13])).
% 121.77/121.82 cnf(1400,plain,
% 121.77/121.82 (P2(f7(x14001),f5(a10),a8)+P2(f7(x14002),f5(a9),a8)+~P2(f7(f11(x14001)),f5(x14002),a8)),
% 121.77/121.82 inference(scs_inference,[],[1399,24])).
% 121.77/121.82 cnf(1401,plain,
% 121.77/121.82 (E(f11(x14011),f11(x14012))+~E(f3(x14011,x14013,a2),f3(x14012,x14013,a2))),
% 121.77/121.82 inference(scs_inference,[],[12,23])).
% 121.77/121.82 cnf(1406,plain,
% 121.77/121.82 (E(x14061,f11(a10))+P2(f7(x14061),f5(a9),a8)),
% 121.77/121.82 inference(scs_inference,[],[68,2])).
% 121.77/121.82 cnf(1407,plain,
% 121.77/121.82 (P1(f11(a10),f3(x14071,x14072,a2),f3(a1,a2,a2))+P2(f7(x14072),f5(a9),a8)),
% 121.77/121.82 inference(scs_inference,[],[26,1406,13])).
% 121.77/121.82 cnf(1408,plain,
% 121.77/121.82 (P1(f11(a10),f3(a1,f3(x14081,x14082,a2),a2),f3(a1,a2,a2))+P2(f7(x14082),f5(a9),a8)),
% 121.77/121.82 inference(scs_inference,[],[25,1407,14])).
% 121.77/121.82 cnf(1412,plain,
% 121.77/121.82 (P2(f7(x14121),f5(a9),a8)+E(f3(x14122,f11(a10),x14123),f3(x14122,x14121,x14123))),
% 121.77/121.82 inference(scs_inference,[],[68,5])).
% 121.77/121.82 cnf(1415,plain,
% 121.77/121.82 (P2(f7(x14151),f5(a9),a8)+E(f3(x14152,x14153,f11(a10)),f3(x14152,x14153,x14151))),
% 121.77/121.82 inference(scs_inference,[],[68,6])).
% 121.77/121.82 cnf(1416,plain,
% 121.77/121.82 (P2(f7(x14161),f5(a9),a8)+E(f4(f11(a10),x14162,x14163),f4(x14161,x14162,x14163))),
% 121.77/121.82 inference(scs_inference,[],[68,8])).
% 121.77/121.82 cnf(1417,plain,
% 121.77/121.83 (P2(f7(x14171),f5(a9),a8)+E(f4(x14172,f11(a10),x14173),f4(x14172,x14171,x14173))),
% 121.77/121.83 inference(scs_inference,[],[68,9])).
% 121.77/121.83 cnf(1418,plain,
% 121.77/121.83 (P2(f7(x14181),f5(a9),a8)+E(f4(x14182,x14183,f11(a10)),f4(x14182,x14183,x14181))),
% 121.77/121.83 inference(scs_inference,[],[68,10])).
% 121.77/121.83 cnf(1419,plain,
% 121.77/121.83 (P2(f7(x14191),f5(a9),a8)+E(f11(f11(a10)),f11(x14191))),
% 121.77/121.83 inference(scs_inference,[],[68,12])).
% 121.77/121.83 cnf(1425,plain,
% 121.77/121.83 (E(f11(a9),x14251)+P2(f7(x14251),f5(a9),a8)),
% 121.77/121.83 inference(scs_inference,[],[109,68,3])).
% 121.77/121.83 cnf(1426,plain,
% 121.77/121.83 (E(x14261,f11(a9))+P2(f7(x14261),f5(a9),a8)),
% 121.77/121.83 inference(scs_inference,[],[1425,2])).
% 121.77/121.83 cnf(1445,plain,
% 121.77/121.83 (~P2(f11(a10),x14451,x14452)+P2(x14453,x14451,x14452)+P2(f7(x14453),f5(a9),a8)),
% 121.77/121.83 inference(scs_inference,[],[68,16])).
% 121.77/121.83 cnf(1498,plain,
% 121.77/121.83 (E(x14981,f3(a1,f11(a9),a2))+P2(f7(x14981),f5(a10),a8)),
% 121.77/121.83 inference(scs_inference,[],[25,77,3])).
% 121.77/121.83 cnf(1511,plain,
% 121.77/121.83 (E(f3(a1,x15111,a2),f11(a9))+P2(f7(x15111),f5(a10),a8)),
% 121.77/121.83 inference(scs_inference,[],[19,77,3])).
% 121.77/121.83 cnf(1512,plain,
% 121.77/121.83 (E(f11(a9),f3(a1,x15121,a2))+P2(f7(x15121),f5(a10),a8)),
% 121.77/121.83 inference(scs_inference,[],[1511,2])).
% 121.77/121.83 cnf(1513,plain,
% 121.77/121.83 (P2(f7(x15131),f5(a10),a8)+E(f3(f11(a9),x15132,x15133),f3(f3(a1,x15131,a2),x15132,x15133))),
% 121.77/121.83 inference(scs_inference,[],[1512,4])).
% 121.77/121.83 cnf(1525,plain,
% 121.77/121.83 (E(f3(x15251,f11(a10),a2),f11(a9))),
% 121.77/121.83 inference(scs_inference,[],[20,77,24])).
% 121.77/121.83 cnf(1534,plain,
% 121.77/121.83 (P1(f11(a9),x15341,f3(a1,a2,a2))+P2(f7(x15341),f5(a10),a8)),
% 121.77/121.83 inference(scs_inference,[],[132,77,13])).
% 121.77/121.83 cnf(1535,plain,
% 121.77/121.83 (P1(f11(a9),x15351,f3(a1,f3(a1,a2,a2),a2))+P2(f7(x15351),f5(a10),a8)),
% 121.77/121.83 inference(scs_inference,[],[25,1534,15])).
% 121.77/121.83 cnf(2033,plain,
% 121.77/121.83 (~P2(f7(f11(x20331)),f5(x20331),a8)),
% 121.77/121.83 inference(rename_variables,[],[62])).
% 121.77/121.83 cnf(2036,plain,
% 121.77/121.83 (~P2(f7(f11(x20361)),f5(x20361),a8)),
% 121.77/121.83 inference(rename_variables,[],[62])).
% 121.77/121.83 cnf(2041,plain,
% 121.77/121.83 (E(f3(f5(f3(a1,x20411,a2)),x20412,x20413),f3(f5(x20411),x20412,x20413))),
% 121.77/121.83 inference(rename_variables,[],[1348])).
% 121.77/121.83 cnf(2044,plain,
% 121.77/121.83 (E(f3(f5(f3(a1,x20441,a2)),x20442,x20443),f3(f5(x20441),x20442,x20443))),
% 121.77/121.83 inference(rename_variables,[],[1348])).
% 121.77/121.83 cnf(2069,plain,
% 121.77/121.83 (E(f3(f3(a1,a1,a2),x20691,f3(a1,a2,a2)),x20691)),
% 121.77/121.83 inference(rename_variables,[],[803])).
% 121.77/121.83 cnf(2075,plain,
% 121.77/121.83 (~P2(f7(f11(x20751)),f5(x20751),a8)),
% 121.77/121.83 inference(rename_variables,[],[62])).
% 121.77/121.83 cnf(2078,plain,
% 121.77/121.83 (~P2(f7(f11(x20781)),f5(x20781),a8)),
% 121.77/121.83 inference(rename_variables,[],[62])).
% 121.77/121.83 cnf(2081,plain,
% 121.77/121.83 (~P2(f7(f11(x20811)),f5(x20811),a8)),
% 121.77/121.83 inference(rename_variables,[],[62])).
% 121.77/121.83 cnf(2084,plain,
% 121.77/121.83 (~P2(f7(f11(x20841)),f5(x20841),a8)),
% 121.77/121.83 inference(rename_variables,[],[62])).
% 121.77/121.83 cnf(2095,plain,
% 121.77/121.83 (~P2(f3(f3(a1,a1,a2),f3(a1,f7(f11(a10)),a2),a2),f3(a1,f5(a9),f3(a1,a2,a2)),a8)),
% 121.77/121.83 inference(scs_inference,[],[1525,791,1329,1348,2041,2044,504,534,62,2033,2036,2075,2078,2081,2084,803,2069,579,732,1282,1032,1183,1408,1412,349,1304,1338,1374,857,1027,1132,1174,1181,1182,1292,327,5,11,6,7,4,2,1345,1368,1370,1400,3,15,17,1415,1416,1417,1418,1513,1291,1401,622,806,858])).
% 121.77/121.83 cnf(2112,plain,
% 121.77/121.83 (~P2(f7(f3(x21121,f11(x21122),a2)),f5(x21122),a8)),
% 121.77/121.83 inference(scs_inference,[],[20,1525,791,1329,1348,2041,2044,351,504,534,62,2033,2036,2075,2078,2081,2084,803,2069,579,732,1282,1032,1183,1270,1408,1412,349,1304,1338,1374,857,1027,1132,1174,1181,1182,1292,327,5,11,6,7,4,2,1345,1368,1370,1400,3,15,17,1415,1416,1417,1418,1513,1291,1401,622,806,858,879,1028,1164,1225,1237,1268,1281,12,265,805,23,244,8,9,10,24])).
% 121.77/121.83 cnf(2113,plain,
% 121.77/121.83 (P1(x21131,f3(x21132,x21131,a2),a2)),
% 121.77/121.83 inference(rename_variables,[],[20])).
% 121.77/121.83 cnf(2127,plain,
% 121.77/121.83 (P1(f11(a9),f3(x21271,f3(x21272,f11(a10),a2),a2),a2)),
% 121.77/121.83 inference(scs_inference,[],[20,2113,1525,791,1329,1348,2041,2044,351,504,534,62,2033,2036,2075,2078,2081,2084,803,2069,579,990,732,1282,1032,1183,1270,1408,1412,349,1304,1338,1374,857,1027,1132,1174,1181,1182,1292,327,5,11,6,7,4,2,1345,1368,1370,1400,3,15,17,1415,1416,1417,1418,1513,1291,1401,622,806,858,879,1028,1164,1225,1237,1268,1281,12,265,805,23,244,8,9,10,24,116,45,1336,1367,1398,1399,1445,13])).
% 121.77/121.83 cnf(2130,plain,
% 121.77/121.83 (P2(f7(f3(f4(x21301,x21302,x21303),f3(a1,f11(a10),a2),a2)),f5(a9),a8)),
% 121.77/121.83 inference(scs_inference,[],[20,2113,1525,791,1372,1329,1348,2041,2044,1373,351,214,504,534,62,2033,2036,2075,2078,2081,2084,803,2069,579,990,732,1282,1032,1183,1270,1408,1412,349,1304,1338,1374,857,1027,1132,1174,1181,1182,1292,327,5,11,6,7,4,2,1345,1368,1370,1400,3,15,17,1415,1416,1417,1418,1513,1291,1401,622,806,858,879,1028,1164,1225,1237,1268,1281,12,265,805,23,244,8,9,10,24,116,45,1336,1367,1398,1399,1445,13,14,22])).
% 121.77/121.83 cnf(2165,plain,
% 121.77/121.83 (~P2(f7(f3(x21651,f11(x21652),a2)),f5(x21652),a8)),
% 121.77/121.83 inference(rename_variables,[],[2112])).
% 121.77/121.83 cnf(2168,plain,
% 121.77/121.83 (~P2(f7(f3(x21681,f11(x21682),a2)),f5(x21682),a8)),
% 121.77/121.83 inference(rename_variables,[],[2112])).
% 121.77/121.83 cnf(2171,plain,
% 121.77/121.83 (~P2(f7(f3(x21711,f11(x21712),a2)),f5(x21712),a8)),
% 121.77/121.83 inference(rename_variables,[],[2112])).
% 121.77/121.83 cnf(2174,plain,
% 121.77/121.83 (~P2(f7(f3(x21741,f11(x21742),a2)),f5(x21742),a8)),
% 121.77/121.83 inference(rename_variables,[],[2112])).
% 121.77/121.83 cnf(2177,plain,
% 121.77/121.83 (~P2(f7(f3(x21771,f11(x21772),a2)),f5(x21772),a8)),
% 121.77/121.83 inference(rename_variables,[],[2112])).
% 121.77/121.83 cnf(2180,plain,
% 121.77/121.83 (~P2(f7(f3(x21801,f11(x21802),a2)),f5(x21802),a8)),
% 121.77/121.83 inference(rename_variables,[],[2112])).
% 121.77/121.83 cnf(2195,plain,
% 121.77/121.83 ($false),
% 121.77/121.83 inference(scs_inference,[],[2130,2112,2165,2168,2171,2174,2177,2180,2127,2095,280,778,1049,1188,679,819,1419,1426,1498,1511,1535,1407,68,1026,824,922,1291,349,244,1304,1181,1225,327,24]),
% 121.77/121.83 ['proof']).
% 121.77/121.83 % SZS output end Proof
% 121.77/121.83 % Total time :121.130000s
%------------------------------------------------------------------------------