TSTP Solution File: SWV243-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV243-2 : 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 : n020.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 21:32:25 EDT 2023
% Result : Unsatisfiable 55.05s 55.14s
% Output : CNFRefutation 55.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV243-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 04:23:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 54.96/55.13 %-------------------------------------------
% 54.96/55.13 % File :CSE---1.6
% 54.96/55.13 % Problem :theBenchmark
% 54.96/55.13 % Transform :cnf
% 55.05/55.13 % Format :tptp:raw
% 55.05/55.13 % Command :java -jar mcs_scs.jar %d %s
% 55.05/55.13
% 55.05/55.13 % Result :Theorem 54.520000s
% 55.05/55.13 % Output :CNFRefutation 54.520000s
% 55.05/55.13 %-------------------------------------------
% 55.05/55.14 %------------------------------------------------------------------------------
% 55.05/55.14 % File : SWV243-2 : TPTP v8.1.2. Released v3.2.0.
% 55.05/55.14 % Domain : Software Verification (Security)
% 55.05/55.14 % Problem : Cryptographic protocol problem for messages
% 55.05/55.14 % Version : [Pau06] axioms : Reduced > Especial.
% 55.05/55.14 % English :
% 55.05/55.14
% 55.05/55.14 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 55.05/55.14 % Source : [Pau06]
% 55.05/55.14 % Names :
% 55.05/55.14
% 55.05/55.14 % Status : Unsatisfiable
% 55.05/55.14 % Rating : 0.04 v8.1.0, 0.10 v7.5.0, 0.08 v7.4.0, 0.13 v7.3.0, 0.11 v7.1.0, 0.06 v7.0.0, 0.00 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.11 v3.4.0, 0.12 v3.3.0, 0.07 v3.2.0
% 55.05/55.14 % Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 1 RR)
% 55.05/55.14 % Number of literals : 3 ( 3 equ; 1 neg)
% 55.05/55.14 % Maximal clause size : 1 ( 1 avg)
% 55.05/55.14 % Maximal term depth : 4 ( 2 avg)
% 55.05/55.14 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 55.05/55.14 % Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% 55.05/55.14 % Number of variables : 4 ( 1 sgn)
% 55.05/55.14 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 55.05/55.14
% 55.05/55.14 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 55.05/55.14 % of which only a small selection are required for the refutation.
% 55.05/55.14 % The mission is to find those few axioms, after which a refutation
% 55.05/55.14 % can be quite easily found. This version has only the necessary
% 55.05/55.14 % axioms.
% 55.05/55.14 %------------------------------------------------------------------------------
% 55.05/55.14 cnf(cls_conjecture_0,negated_conjecture,
% 55.05/55.14 c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) ).
% 55.05/55.14
% 55.05/55.14 cnf(cls_Message_Oanalz__synth__Un_0,axiom,
% 55.05/55.14 c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) ).
% 55.05/55.14
% 55.05/55.14 cnf(cls_Set_OUn__empty__right_0,axiom,
% 55.05/55.14 c_union(V_y,c_emptyset,T_a) = V_y ).
% 55.05/55.14
% 55.05/55.14 %------------------------------------------------------------------------------
% 55.05/55.14 %-------------------------------------------
% 55.05/55.14 % Proof found
% 55.05/55.14 % SZS status Theorem for theBenchmark
% 55.05/55.14 % SZS output start Proof
% 55.05/55.15 %ClaNum:11(EqnAxiom:8)
% 55.05/55.15 %VarNum:8(SingletonVarNum:4)
% 55.05/55.15 %MaxLitNum:1
% 55.05/55.15 %MaxfuncDepth:3
% 55.05/55.15 %SharedTerms:8
% 55.05/55.15 %goalClause: 11
% 55.05/55.15 %singleGoalClaCount:1
% 55.05/55.15 [11]~E(f4(f2(a6),f3(a6),a5),f2(f3(a6)))
% 55.05/55.15 [9]E(f4(x91,a1,x92),x91)
% 55.05/55.15 [10]E(f4(f2(f4(x101,x102,a5)),f3(x101),a5),f2(f4(f3(x101),x102,a5)))
% 55.05/55.15 %EqnAxiom
% 55.05/55.15 [1]E(x11,x11)
% 55.05/55.15 [2]E(x22,x21)+~E(x21,x22)
% 55.05/55.15 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 55.05/55.15 [4]~E(x41,x42)+E(f4(x41,x43,x44),f4(x42,x43,x44))
% 55.05/55.15 [5]~E(x51,x52)+E(f4(x53,x51,x54),f4(x53,x52,x54))
% 55.05/55.15 [6]~E(x61,x62)+E(f4(x63,x64,x61),f4(x63,x64,x62))
% 55.05/55.15 [7]~E(x71,x72)+E(f2(x71),f2(x72))
% 55.05/55.15 [8]~E(x81,x82)+E(f3(x81),f3(x82))
% 55.05/55.15
% 55.05/55.15 %-------------------------------------------
% 55.05/55.16 cnf(12,plain,
% 55.05/55.16 (E(x121,f4(x121,a1,x122))),
% 55.05/55.16 inference(scs_inference,[],[9,2])).
% 55.05/55.16 cnf(13,plain,
% 55.05/55.16 (~E(f4(f2(a6),f3(a6),a5),f4(f2(f3(a6)),a1,x131))),
% 55.05/55.16 inference(scs_inference,[],[11,9,2,3])).
% 55.05/55.16 cnf(14,plain,
% 55.05/55.16 (E(f4(x141,a1,x142),x141)),
% 55.05/55.16 inference(rename_variables,[],[9])).
% 55.05/55.16 cnf(15,plain,
% 55.05/55.16 (E(f3(f4(x151,a1,x152)),f3(x151))),
% 55.05/55.16 inference(scs_inference,[],[11,9,14,2,3,8])).
% 55.05/55.16 cnf(16,plain,
% 55.05/55.16 (E(f2(f4(x161,a1,x162)),f2(x161))),
% 55.05/55.16 inference(scs_inference,[],[11,9,14,2,3,8,7])).
% 55.05/55.16 cnf(17,plain,
% 55.05/55.16 (E(f4(x171,x172,f4(x173,a1,x174)),f4(x171,x172,x173))),
% 55.05/55.16 inference(scs_inference,[],[11,9,14,2,3,8,7,6])).
% 55.05/55.16 cnf(18,plain,
% 55.05/55.16 (E(f4(x181,f4(x182,a1,x183),x184),f4(x181,x182,x184))),
% 55.05/55.16 inference(scs_inference,[],[11,9,14,2,3,8,7,6,5])).
% 55.05/55.16 cnf(19,plain,
% 55.05/55.16 (E(f4(f4(x191,a1,x192),x193,x194),f4(x191,x193,x194))),
% 55.05/55.16 inference(scs_inference,[],[11,9,14,2,3,8,7,6,5,4])).
% 55.05/55.16 cnf(20,plain,
% 55.05/55.16 (~E(f2(f3(a6)),f4(f2(a6),f3(a6),a5))),
% 55.05/55.16 inference(scs_inference,[],[11,2])).
% 55.05/55.16 cnf(21,plain,
% 55.05/55.16 (~E(f4(f4(f2(a6),f3(a6),a5),a1,x211),f2(f3(a6)))),
% 55.05/55.16 inference(scs_inference,[],[11,12,2,3])).
% 55.05/55.16 cnf(23,plain,
% 55.05/55.16 (E(f2(f4(f3(x231),x232,a5)),f4(f2(f4(x231,x232,a5)),f3(x231),a5))),
% 55.05/55.16 inference(scs_inference,[],[10,2])).
% 55.05/55.16 cnf(24,plain,
% 55.05/55.16 (E(f4(x241,f4(a1,a1,x242),x243),x241)),
% 55.05/55.16 inference(scs_inference,[],[9,10,18,2,3])).
% 55.05/55.16 cnf(26,plain,
% 55.05/55.16 (~E(f2(f3(a6)),f4(f4(f2(a6),f3(a6),a5),a1,x261))),
% 55.05/55.16 inference(scs_inference,[],[21,2])).
% 55.05/55.16 cnf(29,plain,
% 55.05/55.16 (E(f4(x291,x292,x293),f4(x291,x292,f4(x293,a1,x294)))),
% 55.05/55.16 inference(scs_inference,[],[17,2])).
% 55.05/55.16 cnf(31,plain,
% 55.05/55.16 (E(x311,f4(x311,a1,x312))),
% 55.05/55.16 inference(rename_variables,[],[12])).
% 55.05/55.16 cnf(32,plain,
% 55.05/55.16 (E(f2(x321),f2(f4(x321,a1,x322)))),
% 55.05/55.16 inference(scs_inference,[],[12,31,17,26,2,3,7])).
% 55.05/55.16 cnf(33,plain,
% 55.05/55.16 (E(f4(x331,x332,f4(x333,x334,f4(x335,a1,x336))),f4(x331,x332,f4(x333,x334,x335)))),
% 55.05/55.16 inference(scs_inference,[],[12,31,17,26,2,3,7,6])).
% 55.05/55.16 cnf(34,plain,
% 55.05/55.16 (E(f4(x341,x342,x343),f4(x341,f4(x342,a1,x344),x343))),
% 55.05/55.16 inference(scs_inference,[],[12,31,17,26,2,3,7,6,5])).
% 55.05/55.16 cnf(35,plain,
% 55.05/55.16 (E(f4(x351,x352,x353),f4(f4(x351,a1,x354),x352,x353))),
% 55.05/55.16 inference(scs_inference,[],[12,31,17,26,2,3,7,6,5,4])).
% 55.05/55.16 cnf(36,plain,
% 55.05/55.16 (E(f3(x361),f3(f4(x361,a1,x362)))),
% 55.05/55.16 inference(scs_inference,[],[12,31,17,26,2,3,7,6,5,4,8])).
% 55.05/55.16 cnf(37,plain,
% 55.05/55.16 (~E(f4(f2(f3(a6)),a1,x371),f4(f2(a6),f3(a6),a5))),
% 55.05/55.16 inference(scs_inference,[],[13,2])).
% 55.05/55.16 cnf(38,plain,
% 55.05/55.16 (E(f4(x381,x382,f4(x383,x384,f4(x385,a1,x386))),f4(f4(x381,x382,f4(x383,x384,x385)),a1,x387))),
% 55.05/55.16 inference(scs_inference,[],[13,12,33,2,3])).
% 55.05/55.16 cnf(40,plain,
% 55.05/55.16 (E(x401,f4(x401,f4(a1,a1,x402),x403))),
% 55.05/55.16 inference(scs_inference,[],[24,2])).
% 55.05/55.16 cnf(41,plain,
% 55.05/55.16 (E(f4(f3(f4(x411,a1,x412)),f4(a1,a1,x413),x414),f3(x411))),
% 55.05/55.16 inference(scs_inference,[],[15,24,2,3])).
% 55.05/55.16 cnf(43,plain,
% 55.05/55.16 (E(f3(f4(x431,a1,x432)),f4(f3(x431),a1,x433))),
% 55.05/55.16 inference(scs_inference,[],[12,15,3])).
% 55.05/55.16 cnf(45,plain,
% 55.05/55.16 (~E(f2(f3(a6)),f4(f4(f2(a6),a1,x451),f3(a6),a5))),
% 55.05/55.16 inference(scs_inference,[],[20,19,3])).
% 55.05/55.16 cnf(47,plain,
% 55.05/55.16 (E(f4(x471,f2(f4(x472,a1,x473)),x474),f4(x471,f2(x472),x474))),
% 55.05/55.16 inference(scs_inference,[],[16,20,19,3,5])).
% 55.05/55.16 cnf(48,plain,
% 55.05/55.16 (E(f4(x481,x482,f2(f4(x483,a1,x484))),f4(x481,x482,f2(x483)))),
% 55.05/55.16 inference(scs_inference,[],[16,20,19,3,5,6])).
% 55.05/55.16 cnf(49,plain,
% 55.05/55.16 (E(f4(f2(f4(x491,a1,x492)),x493,x494),f4(f2(x491),x493,x494))),
% 55.05/55.16 inference(scs_inference,[],[16,20,19,3,5,6,4])).
% 55.05/55.16 cnf(50,plain,
% 55.05/55.16 (E(f3(f2(f4(x501,a1,x502))),f3(f2(x501)))),
% 55.05/55.16 inference(scs_inference,[],[16,20,19,3,5,6,4,8])).
% 55.05/55.16 cnf(53,plain,
% 55.05/55.16 (E(f4(x531,f2(x532),x533),f4(x531,f2(f4(x532,a1,x534)),x533))),
% 55.05/55.16 inference(scs_inference,[],[47,2])).
% 55.05/55.16 cnf(56,plain,
% 55.05/55.16 (E(f4(f2(f4(x561,a1,x562)),x563,f4(x564,a1,x565)),f4(f2(x561),x563,x564))),
% 55.05/55.16 inference(scs_inference,[],[17,49,3])).
% 55.05/55.16 cnf(59,plain,
% 55.05/55.16 (~E(f2(f3(a6)),f4(f4(f2(a6),a1,x591),f3(a6),f4(a5,a1,x592)))),
% 55.05/55.16 inference(scs_inference,[],[17,45,3])).
% 55.05/55.16 cnf(61,plain,
% 55.05/55.16 (~E(f4(f4(f2(a6),a1,x611),f3(a6),f4(a5,a1,x612)),f2(f3(a6)))),
% 55.05/55.16 inference(scs_inference,[],[17,45,3,2])).
% 55.05/55.16 cnf(62,plain,
% 55.05/55.16 (E(f4(x621,x622,f2(x623)),f4(x621,x622,f2(f4(x623,a1,x624))))),
% 55.05/55.16 inference(scs_inference,[],[48,2])).
% 55.05/55.16 cnf(63,plain,
% 55.05/55.16 (E(f4(x631,f4(x632,a1,x633),f4(x634,a1,x635)),f4(x631,x632,x634))),
% 55.05/55.16 inference(scs_inference,[],[18,17,48,2,3])).
% 55.05/55.16 cnf(64,plain,
% 55.05/55.16 (E(f4(x641,f4(x642,a1,x643),x644),f4(x641,x642,x644))),
% 55.05/55.16 inference(rename_variables,[],[18])).
% 55.05/55.16 cnf(66,plain,
% 55.05/55.16 (E(f4(f4(x661,f4(x662,a1,x663),x664),x665,x666),f4(f4(x661,x662,x664),x665,x666))),
% 55.05/55.16 inference(scs_inference,[],[18,64,17,48,2,3,4])).
% 55.05/55.16 cnf(68,plain,
% 55.05/55.16 (E(f2(f4(x681,f4(x682,a1,x683),x684)),f2(f4(x681,x682,x684)))),
% 55.05/55.16 inference(scs_inference,[],[18,64,17,48,2,3,4,8,7])).
% 55.05/55.16 cnf(69,plain,
% 55.05/55.16 (E(f4(x691,f4(x692,f4(x693,a1,x694),x695),x696),f4(x691,f4(x692,x693,x695),x696))),
% 55.05/55.16 inference(scs_inference,[],[18,64,17,48,2,3,4,8,7,5])).
% 55.05/55.16 cnf(70,plain,
% 55.05/55.16 (E(f4(x701,x702,f4(x703,f4(x704,a1,x705),x706)),f4(x701,x702,f4(x703,x704,x706)))),
% 55.05/55.16 inference(scs_inference,[],[18,64,17,48,2,3,4,8,7,5,6])).
% 55.05/55.16 cnf(71,plain,
% 55.05/55.16 (E(f4(f4(x711,f4(x712,a1,x713),x714),f4(x715,a1,x716),x717),f4(f4(x711,x712,x714),x715,x717))),
% 55.05/55.16 inference(scs_inference,[],[18,66,3])).
% 55.05/55.16 cnf(72,plain,
% 55.05/55.16 (E(f4(f4(x721,f4(x722,a1,x723),x724),x725,x726),f4(f4(x721,x722,x724),x725,x726))),
% 55.05/55.16 inference(rename_variables,[],[66])).
% 55.05/55.16 cnf(74,plain,
% 55.05/55.16 (E(f4(f4(x741,x742,x743),x744,x745),f4(f4(x741,f4(x742,a1,x746),x743),x744,x745))),
% 55.05/55.16 inference(scs_inference,[],[18,66,72,3,2])).
% 55.05/55.16 cnf(75,plain,
% 55.05/55.16 (~E(f2(f3(a6)),f4(f4(f2(a6),a1,x751),f3(a6),f4(f4(a5,a1,x752),a1,x753)))),
% 55.05/55.16 inference(scs_inference,[],[17,59,3])).
% 55.05/55.16 cnf(77,plain,
% 55.05/55.16 (~E(f4(f4(f2(a6),a1,x771),f3(a6),f4(f4(a5,a1,x772),a1,x773)),f2(f3(a6)))),
% 55.05/55.16 inference(scs_inference,[],[17,59,3,2])).
% 55.05/55.16 cnf(78,plain,
% 55.05/55.16 (E(f4(x781,f4(x782,x783,x784),x785),f4(x781,f4(x782,f4(x783,a1,x786),x784),x785))),
% 55.05/55.16 inference(scs_inference,[],[69,2])).
% 55.05/55.16 cnf(79,plain,
% 55.05/55.16 (E(f4(f4(x791,a1,x792),x793,f4(x794,a1,x795)),f4(x791,x793,x794))),
% 55.05/55.16 inference(scs_inference,[],[17,19,69,2,3])).
% 55.05/55.16 cnf(82,plain,
% 55.05/55.16 (E(f4(f4(x821,a1,x822),f4(x823,a1,x824),x825),f4(x821,x823,x825))),
% 55.05/55.16 inference(scs_inference,[],[18,19,3])).
% 55.05/55.16 cnf(84,plain,
% 55.05/55.16 (E(f3(f4(f4(x841,a1,x842),x843,x844)),f3(f4(x841,x843,x844)))),
% 55.05/55.16 inference(scs_inference,[],[18,19,3,8])).
% 55.05/55.16 cnf(85,plain,
% 55.05/55.16 (E(f2(f4(f4(x851,a1,x852),x853,x854)),f2(f4(x851,x853,x854)))),
% 55.05/55.16 inference(scs_inference,[],[18,19,3,8,7])).
% 55.05/55.16 cnf(86,plain,
% 55.05/55.16 (E(f4(x861,f4(f4(x862,a1,x863),x864,x865),x866),f4(x861,f4(x862,x864,x865),x866))),
% 55.05/55.16 inference(scs_inference,[],[18,19,3,8,7,5])).
% 55.05/55.16 cnf(87,plain,
% 55.05/55.16 (E(f4(x871,x872,f4(f4(x873,a1,x874),x875,x876)),f4(x871,x872,f4(x873,x875,x876)))),
% 55.05/55.16 inference(scs_inference,[],[18,19,3,8,7,5,6])).
% 55.05/55.16 cnf(88,plain,
% 55.05/55.16 (E(f4(f4(f4(x881,a1,x882),x883,x884),x885,x886),f4(f4(x881,x883,x884),x885,x886))),
% 55.05/55.16 inference(scs_inference,[],[18,19,3,8,7,5,6,4])).
% 55.05/55.16 cnf(91,plain,
% 55.05/55.16 (~E(f4(f2(a6),f4(f3(a6),a1,x911),a5),f2(f3(a6)))),
% 55.05/55.16 inference(scs_inference,[],[18,20,3,2])).
% 55.05/55.16 cnf(92,plain,
% 55.05/55.16 (E(f4(x921,x922,f4(x923,x924,x925)),f4(x921,x922,f4(x923,f4(x924,a1,x926),x925)))),
% 55.05/55.16 inference(scs_inference,[],[70,2])).
% 55.05/55.16 cnf(96,plain,
% 55.05/55.16 (~E(f4(f2(a6),f3(a6),f4(f4(a5,a1,x961),a1,x962)),f2(f3(a6)))),
% 55.05/55.16 inference(scs_inference,[],[19,77,3])).
% 55.05/55.16 cnf(98,plain,
% 55.05/55.16 (~E(f2(f3(a6)),f4(f2(a6),f3(a6),f4(f4(a5,a1,x981),a1,x982)))),
% 55.05/55.16 inference(scs_inference,[],[19,77,3,2])).
% 55.05/55.16 cnf(99,plain,
% 55.05/55.16 (E(f4(x991,f4(x992,x993,x994),x995),f4(x991,f4(f4(x992,a1,x996),x993,x994),x995))),
% 55.05/55.17 inference(scs_inference,[],[86,2])).
% 55.05/55.17 cnf(100,plain,
% 55.05/55.17 (~E(f2(f3(a6)),f4(f2(f4(a6,a1,x1001)),f3(a6),f4(a5,a1,x1002)))),
% 55.05/55.17 inference(scs_inference,[],[20,86,56,2,3])).
% 55.05/55.17 cnf(102,plain,
% 55.05/55.17 (E(f4(x1021,f4(x1022,x1023,x1024),x1025),f4(x1021,f4(x1022,x1023,f4(x1024,a1,x1026)),x1025))),
% 55.05/55.17 inference(scs_inference,[],[20,86,29,56,2,3,5])).
% 55.05/55.17 cnf(103,plain,
% 55.05/55.17 (E(f4(x1031,x1032,f4(x1033,x1034,x1035)),f4(x1031,x1032,f4(x1033,x1034,f4(x1035,a1,x1036))))),
% 55.05/55.17 inference(scs_inference,[],[20,86,29,56,2,3,5,6])).
% 55.05/55.17 cnf(104,plain,
% 55.05/55.17 (E(f4(f4(x1041,x1042,x1043),x1044,x1045),f4(f4(x1041,x1042,f4(x1043,a1,x1046)),x1044,x1045))),
% 55.05/55.17 inference(scs_inference,[],[20,86,29,56,2,3,5,6,4])).
% 55.05/55.17 cnf(106,plain,
% 55.05/55.17 (E(f2(f4(x1061,x1062,x1063)),f2(f4(x1061,x1062,f4(x1063,a1,x1064))))),
% 55.05/55.17 inference(scs_inference,[],[20,86,29,56,2,3,5,6,4,8,7])).
% 55.05/55.17 cnf(107,plain,
% 55.05/55.17 (~E(f4(f2(f4(a6,a1,x1071)),f3(a6),f4(a5,a1,x1072)),f2(f3(a6)))),
% 55.05/55.17 inference(scs_inference,[],[100,2])).
% 55.05/55.17 cnf(108,plain,
% 55.05/55.17 (E(f2(f4(f3(x1081),f4(x1082,a1,x1083),a5)),f4(f2(f4(x1081,x1082,a5)),f3(x1081),a5))),
% 55.05/55.17 inference(scs_inference,[],[23,68,100,2,3])).
% 55.05/55.17 cnf(111,plain,
% 55.05/55.17 (E(f4(x1111,x1112,f4(x1113,x1114,x1115)),f4(x1111,x1112,f4(f4(x1113,a1,x1116),x1114,x1115)))),
% 55.05/55.17 inference(scs_inference,[],[87,2])).
% 55.05/55.17 cnf(112,plain,
% 55.05/55.17 (E(f4(f2(f4(f3(x1121),x1122,a5)),f4(a1,a1,x1123),x1124),f4(f2(f4(x1121,x1122,a5)),f3(x1121),a5))),
% 55.05/55.17 inference(scs_inference,[],[23,24,87,2,3])).
% 55.05/55.17 cnf(114,plain,
% 55.05/55.17 (~E(f4(f4(f2(a6),f3(a6),a5),a1,x1141),f4(f2(f3(a6)),f4(a1,a1,x1142),x1143))),
% 55.05/55.17 inference(scs_inference,[],[21,24,3])).
% 55.05/55.17 cnf(116,plain,
% 55.05/55.17 (~E(f4(f2(f3(a6)),f4(a1,a1,x1161),x1162),f4(f4(f2(a6),f3(a6),a5),a1,x1163))),
% 55.05/55.17 inference(scs_inference,[],[21,24,3,2])).
% 55.05/55.17 cnf(117,plain,
% 55.05/55.17 (E(f4(f4(x1171,x1172,x1173),x1174,x1175),f4(f4(f4(x1171,a1,x1176),x1172,x1173),x1174,x1175))),
% 55.05/55.17 inference(scs_inference,[],[88,2])).
% 55.05/55.17 cnf(118,plain,
% 55.05/55.17 (E(f4(f4(x1181,x1182,x1183),f4(a1,a1,x1184),x1185),f4(x1181,f4(x1182,a1,x1186),x1183))),
% 55.05/55.17 inference(scs_inference,[],[24,74,88,2,3])).
% 55.05/55.17 cnf(119,plain,
% 55.05/55.17 (E(f4(x1191,f4(a1,a1,x1192),x1193),x1191)),
% 55.05/55.17 inference(rename_variables,[],[24])).
% 55.05/55.17 cnf(121,plain,
% 55.05/55.17 (E(f4(x1211,x1212,f4(x1213,f4(a1,a1,x1214),x1215)),f4(x1211,x1212,x1213))),
% 55.05/55.17 inference(scs_inference,[],[24,119,74,88,2,3,6])).
% 55.05/55.17 cnf(122,plain,
% 55.05/55.17 (E(f4(f4(x1221,f4(a1,a1,x1222),x1223),x1224,x1225),f4(x1221,x1224,x1225))),
% 55.05/55.17 inference(scs_inference,[],[24,119,74,88,2,3,6,4])).
% 55.05/55.17 cnf(123,plain,
% 55.05/55.17 (E(f3(f4(x1231,f4(a1,a1,x1232),x1233)),f3(x1231))),
% 55.05/55.17 inference(scs_inference,[],[24,119,74,88,2,3,6,4,8])).
% 55.05/55.17 cnf(124,plain,
% 55.05/55.17 (E(f2(f4(x1241,f4(a1,a1,x1242),x1243)),f2(x1241))),
% 55.05/55.17 inference(scs_inference,[],[24,119,74,88,2,3,6,4,8,7])).
% 55.05/55.17 cnf(125,plain,
% 55.05/55.17 (E(f4(x1251,f4(x1252,f4(a1,a1,x1253),x1254),x1255),f4(x1251,x1252,x1255))),
% 55.05/55.17 inference(scs_inference,[],[24,119,74,88,2,3,6,4,8,7,5])).
% 55.05/55.17 cnf(128,plain,
% 55.05/55.17 (~E(f4(f2(f3(a6)),f4(a1,a1,x1281),x1282),f4(f4(f2(a6),f3(a6),f4(a5,a1,x1283)),a1,x1284))),
% 55.05/55.17 inference(scs_inference,[],[104,114,3,2])).
% 55.05/55.17 cnf(129,plain,
% 55.05/55.17 (E(f4(x1291,f4(x1292,x1293,f4(x1294,a1,x1295)),x1296),f4(x1291,f4(x1292,x1293,x1294),x1296))),
% 55.05/55.17 inference(scs_inference,[],[102,2])).
% 55.05/55.17 cnf(130,plain,
% 55.05/55.17 (~E(f2(f3(a6)),f4(f4(f4(f2(a6),f3(a6),a5),a1,x1301),f4(a1,a1,x1302),x1303))),
% 55.05/55.17 inference(scs_inference,[],[24,26,102,2,3])).
% 55.05/55.17 cnf(132,plain,
% 55.05/55.17 (~E(f4(f4(f4(f2(a6),f3(a6),a5),a1,x1321),f4(a1,a1,x1322),x1323),f2(f3(a6)))),
% 55.05/55.17 inference(scs_inference,[],[130,2])).
% 55.05/55.17 cnf(136,plain,
% 55.05/55.17 (E(f4(f4(x1361,f4(a1,a1,x1362),x1363),x1364,x1365),f4(x1361,x1364,f4(x1365,a1,x1366)))),
% 55.05/55.17 inference(scs_inference,[],[29,121,122,2,3])).
% 55.05/55.17 cnf(138,plain,
% 55.05/55.17 (E(f4(f4(x1381,f4(x1382,a1,x1383),f4(x1384,a1,x1385)),x1386,x1387),f4(f4(x1381,x1382,x1384),x1386,x1387))),
% 55.05/55.17 inference(scs_inference,[],[29,121,122,63,2,3,4])).
% 55.05/55.17 cnf(139,plain,
% 55.05/55.17 (E(f3(f4(x1391,x1392,x1393)),f3(f4(x1391,f4(x1392,a1,x1394),x1393)))),
% 55.05/55.17 inference(scs_inference,[],[29,121,122,34,63,2,3,4,8])).
% 55.05/55.17 cnf(140,plain,
% 55.05/55.17 (E(f2(f4(x1401,x1402,x1403)),f2(f4(x1401,f4(x1402,a1,x1404),x1403)))),
% 55.05/55.17 inference(scs_inference,[],[29,121,122,34,63,2,3,4,8,7])).
% 55.05/55.17 cnf(141,plain,
% 55.05/55.17 (E(f4(x1411,f4(x1412,f4(x1413,a1,x1414),f4(x1415,a1,x1416)),x1417),f4(x1411,f4(x1412,x1413,x1415),x1417))),
% 55.05/55.17 inference(scs_inference,[],[29,121,122,34,63,2,3,4,8,7,5])).
% 55.05/55.17 cnf(142,plain,
% 55.05/55.17 (E(f4(x1421,x1422,f4(x1423,f4(x1424,a1,x1425),f4(x1426,a1,x1427))),f4(x1421,x1422,f4(x1423,x1424,x1426)))),
% 55.05/55.17 inference(scs_inference,[],[29,121,122,34,63,2,3,4,8,7,5,6])).
% 55.05/55.17 cnf(143,plain,
% 55.05/55.17 (~E(f4(f2(f4(a6,a1,x1431)),f3(a6),f4(a5,a1,x1432)),f2(f4(f3(a6),f4(a1,a1,x1433),x1434)))),
% 55.05/55.17 inference(scs_inference,[],[124,107,3])).
% 55.05/55.17 cnf(145,plain,
% 55.05/55.17 (~E(f2(f4(f3(a6),f4(a1,a1,x1451),x1452)),f4(f2(f4(a6,a1,x1453)),f3(a6),f4(a5,a1,x1454)))),
% 55.05/55.17 inference(scs_inference,[],[124,107,3,2])).
% 55.05/55.17 cnf(146,plain,
% 55.05/55.17 (E(f4(f4(x1461,x1462,x1463),x1464,x1465),f4(f4(x1461,f4(x1462,a1,x1466),f4(x1463,a1,x1467)),x1464,x1465))),
% 55.05/55.17 inference(scs_inference,[],[138,2])).
% 55.05/55.17 cnf(147,plain,
% 55.05/55.17 (E(f4(x1471,f4(x1472,x1473,x1474),x1475),f4(x1471,f4(f4(x1472,a1,x1476),x1473,x1474),f4(x1475,a1,x1477)))),
% 55.05/55.17 inference(scs_inference,[],[29,99,138,2,3])).
% 55.05/55.17 cnf(150,plain,
% 55.05/55.17 (E(f4(x1501,f4(x1502,f4(x1503,a1,x1504),f4(x1505,a1,x1506)),x1507),f4(x1501,f4(x1502,x1503,x1505),f4(x1507,a1,x1508)))),
% 55.05/55.17 inference(scs_inference,[],[29,141,3])).
% 55.05/55.17 cnf(151,plain,
% 55.05/55.17 (E(f4(x1511,f4(x1512,f4(x1513,a1,x1514),f4(x1515,a1,x1516)),x1517),f4(x1511,f4(x1512,x1513,x1515),x1517))),
% 55.05/55.17 inference(rename_variables,[],[141])).
% 55.05/55.17 cnf(153,plain,
% 55.05/55.17 (E(f4(x1531,f4(x1532,x1533,x1534),x1535),f4(x1531,f4(x1532,f4(x1533,a1,x1536),f4(x1534,a1,x1537)),x1535))),
% 55.05/55.17 inference(scs_inference,[],[29,141,151,3,2])).
% 55.05/55.17 cnf(154,plain,
% 55.05/55.17 (~E(f4(f2(f4(a6,a1,x1541)),f3(a6),f4(a5,a1,x1542)),f2(f4(f4(f3(a6),a1,x1543),f4(a1,a1,x1544),x1545)))),
% 55.05/55.17 inference(scs_inference,[],[85,143,3])).
% 55.05/55.17 cnf(159,plain,
% 55.05/55.17 (E(f4(x1591,f4(f4(x1592,a1,x1593),x1594,f4(x1595,a1,x1596)),x1597),f4(x1591,f4(x1592,x1594,x1595),x1597))),
% 55.05/55.17 inference(scs_inference,[],[32,85,79,143,3,8,7,5])).
% 55.05/55.17 cnf(160,plain,
% 55.05/55.17 (E(f4(x1601,x1602,f4(f4(x1603,a1,x1604),x1605,f4(x1606,a1,x1607))),f4(x1601,x1602,f4(x1603,x1605,x1606)))),
% 55.05/55.17 inference(scs_inference,[],[32,85,79,143,3,8,7,5,6])).
% 55.05/55.17 cnf(161,plain,
% 55.05/55.17 (E(f4(f2(x1611),x1612,x1613),f4(f2(f4(x1611,a1,x1614)),x1612,x1613))),
% 55.05/55.17 inference(scs_inference,[],[32,85,79,143,3,8,7,5,6,4])).
% 55.05/55.17 cnf(162,plain,
% 55.05/55.17 (~E(f2(f4(f4(f3(a6),a1,x1621),f4(a1,a1,x1622),x1623)),f4(f2(f4(a6,a1,x1624)),f3(a6),f4(a5,a1,x1625)))),
% 55.05/55.17 inference(scs_inference,[],[32,85,79,143,3,8,7,5,6,4,2])).
% 55.05/55.17 cnf(163,plain,
% 55.05/55.17 (E(f4(x1631,x1632,f4(x1633,x1634,x1635)),f4(x1631,x1632,f4(x1633,f4(x1634,a1,x1636),f4(x1635,a1,x1637))))),
% 55.05/55.17 inference(scs_inference,[],[142,2])).
% 55.05/55.17 cnf(164,plain,
% 55.05/55.17 (E(f4(x1641,x1642,x1643),f4(x1641,x1642,f4(f4(x1643,a1,x1644),a1,x1645)))),
% 55.05/55.17 inference(scs_inference,[],[29,111,142,2,3])).
% 55.05/55.17 cnf(169,plain,
% 55.05/55.17 (E(f4(x1691,f4(x1692,x1693,x1694),x1695),f4(x1691,f4(f4(x1692,a1,x1696),x1693,f4(x1694,a1,x1697)),x1695))),
% 55.05/55.17 inference(scs_inference,[],[159,2])).
% 55.05/55.17 cnf(170,plain,
% 55.05/55.17 (~E(f4(f4(f2(a6),a1,x1701),f3(a6),f4(a5,a1,x1702)),f2(f4(f3(a6),f4(a1,a1,x1703),x1704)))),
% 55.05/55.17 inference(scs_inference,[],[159,61,124,2,3])).
% 55.05/55.17 cnf(172,plain,
% 55.05/55.17 (~E(f2(f4(f3(a6),f4(a1,a1,x1721),x1722)),f4(f4(f2(a6),a1,x1723),f3(a6),f4(a5,a1,x1724)))),
% 55.05/55.17 inference(scs_inference,[],[170,2])).
% 55.05/55.17 cnf(173,plain,
% 55.05/55.17 (E(f4(x1731,x1732,f4(x1733,x1734,f4(x1735,a1,x1736))),f4(x1731,f4(x1732,a1,x1737),f4(x1733,x1734,x1735)))),
% 55.05/55.17 inference(scs_inference,[],[33,34,170,2,3])).
% 55.05/55.17 cnf(176,plain,
% 55.05/55.17 (E(f4(x1761,f4(f4(x1762,a1,x1763),f4(x1764,a1,x1765),x1766),x1767),f4(x1761,f4(x1762,x1764,x1766),x1767))),
% 55.05/55.17 inference(scs_inference,[],[33,34,82,170,2,3,5])).
% 55.05/55.17 cnf(177,plain,
% 55.05/55.17 (E(f4(x1771,x1772,f4(f4(x1773,a1,x1774),f4(x1775,a1,x1776),x1777)),f4(x1771,x1772,f4(x1773,x1775,x1777)))),
% 55.05/55.17 inference(scs_inference,[],[33,34,82,170,2,3,5,6])).
% 55.05/55.17 cnf(178,plain,
% 55.05/55.17 (E(f4(f4(f4(x1781,a1,x1782),f4(x1783,a1,x1784),x1785),x1786,x1787),f4(f4(x1781,x1783,x1785),x1786,x1787))),
% 55.05/55.17 inference(scs_inference,[],[33,34,82,170,2,3,5,6,4])).
% 55.05/55.17 cnf(180,plain,
% 55.05/55.17 (E(f2(f4(x1801,x1802,x1803)),f2(f4(f4(x1801,a1,x1804),x1802,x1803)))),
% 55.05/55.17 inference(scs_inference,[],[33,34,35,82,170,2,3,5,6,4,8,7])).
% 55.05/55.17 cnf(181,plain,
% 55.05/55.17 (E(f4(x1811,x1812,f4(x1813,x1814,x1815)),f4(x1811,x1812,f4(f4(x1813,a1,x1816),x1814,f4(x1815,a1,x1817))))),
% 55.05/55.17 inference(scs_inference,[],[160,2])).
% 55.05/55.17 cnf(182,plain,
% 55.05/55.17 (E(f4(x1821,f4(f4(x1822,a1,x1823),f4(x1824,a1,x1825),x1826),f4(x1827,x1828,f4(x1829,a1,x18210))),f4(x1821,f4(x1822,x1824,x1826),f4(x1827,x1828,x1829)))),
% 55.05/55.17 inference(scs_inference,[],[33,160,176,2,3])).
% 55.05/55.17 cnf(185,plain,
% 55.05/55.17 (~E(f4(f2(a6),f3(a6),f4(f4(a5,a1,x1851),a1,x1852)),f2(f4(f3(a6),f4(a1,a1,x1853),x1854)))),
% 55.05/55.17 inference(scs_inference,[],[96,124,3])).
% 55.05/55.17 cnf(187,plain,
% 55.05/55.17 (~E(f2(f4(f3(a6),f4(a1,a1,x1871),x1872)),f4(f2(a6),f3(a6),f4(f4(a5,a1,x1873),a1,x1874)))),
% 55.05/55.17 inference(scs_inference,[],[96,124,3,2])).
% 55.05/55.17 cnf(188,plain,
% 55.05/55.17 (E(f4(x1881,x1882,f4(x1883,x1884,x1885)),f4(x1881,x1882,f4(f4(x1883,a1,x1886),f4(x1884,a1,x1887),x1885)))),
% 55.05/55.17 inference(scs_inference,[],[177,2])).
% 55.05/55.17 cnf(189,plain,
% 55.05/55.17 (E(f4(x1891,x1892,f4(x1893,x1894,f4(x1895,a1,x1896))),f4(f4(x1891,a1,x1897),x1892,f4(x1893,x1894,x1895)))),
% 55.05/55.17 inference(scs_inference,[],[33,35,177,2,3])).
% 55.05/55.17 cnf(192,plain,
% 55.05/55.17 (E(f3(f4(x1921,a1,x1922)),f3(f4(x1921,a1,x1923)))),
% 55.05/55.17 inference(scs_inference,[],[36,84,3])).
% 55.05/55.17 cnf(193,plain,
% 55.05/55.17 (E(f3(x1931),f3(f4(x1931,a1,x1932)))),
% 55.05/55.17 inference(rename_variables,[],[36])).
% 55.05/55.17 cnf(196,plain,
% 55.05/55.17 (E(f4(f3(x1961),x1962,x1963),f4(f3(f4(x1961,a1,x1964)),x1962,x1963))),
% 55.05/55.17 inference(scs_inference,[],[36,193,84,3,6,4])).
% 55.05/55.17 cnf(199,plain,
% 55.05/55.17 (E(f4(x1991,f3(x1992),x1993),f4(x1991,f3(f4(x1992,a1,x1994)),x1993))),
% 55.05/55.17 inference(scs_inference,[],[36,193,84,3,6,4,8,7,5])).
% 55.05/55.17 cnf(200,plain,
% 55.05/55.17 (~E(f2(f4(f3(a6),f4(a1,a1,x2001),x2002)),f4(f2(a6),f3(a6),f4(a5,a1,x2003)))),
% 55.05/55.17 inference(scs_inference,[],[35,172,3])).
% 55.05/55.17 cnf(204,plain,
% 55.05/55.17 (E(f4(f4(x2041,x2042,x2043),x2044,x2045),f4(f4(f4(x2041,a1,x2046),f4(x2042,a1,x2047),x2043),x2044,x2045))),
% 55.05/55.17 inference(scs_inference,[],[178,2])).
% 55.05/55.17 cnf(207,plain,
% 55.05/55.17 (E(f4(x2071,f4(x2072,f4(a1,a1,x2073),x2074),x2075),f4(f4(x2071,a1,x2076),x2072,x2075))),
% 55.05/55.17 inference(scs_inference,[],[35,125,3])).
% 55.05/55.17 cnf(212,plain,
% 55.05/55.17 (E(f4(x2121,x2122,x2123),f4(f4(x2121,f4(a1,a1,x2124),x2125),x2122,x2123))),
% 55.05/55.17 inference(scs_inference,[],[38,37,40,121,2,3,4])).
% 55.05/55.17 cnf(213,plain,
% 55.05/55.17 (E(f4(x2131,x2132,f4(f4(x2133,x2134,x2135),f4(a1,a1,x2136),x2137)),f4(x2131,x2132,f4(x2133,f4(x2134,a1,x2138),x2135)))),
% 55.05/55.17 inference(scs_inference,[],[38,37,40,118,121,2,3,4,6])).
% 55.05/55.17 cnf(214,plain,
% 55.05/55.17 (E(f3(x2141),f3(f4(x2141,f4(a1,a1,x2142),x2143)))),
% 55.05/55.17 inference(scs_inference,[],[38,37,40,118,121,2,3,4,6,8])).
% 55.05/55.17 cnf(227,plain,
% 55.05/55.17 (E(f3(x2271),f4(f3(f4(x2271,a1,x2272)),f4(a1,a1,x2273),x2274))),
% 55.05/55.17 inference(scs_inference,[],[41,2])).
% 55.05/55.17 cnf(231,plain,
% 55.05/55.17 (E(f4(f4(f3(f4(x2311,a1,x2312)),f4(a1,a1,x2313),x2314),x2315,x2316),f4(f3(x2311),x2315,x2316))),
% 55.05/55.17 inference(scs_inference,[],[38,41,40,2,3,4])).
% 55.05/55.17 cnf(232,plain,
% 55.05/55.17 (E(f4(x2321,x2322,f4(f3(f4(x2323,a1,x2324)),f4(a1,a1,x2325),x2326)),f4(x2321,x2322,f3(x2323)))),
% 55.05/55.17 inference(scs_inference,[],[38,41,40,2,3,4,6])).
% 55.05/55.17 cnf(234,plain,
% 55.05/55.17 (E(f2(f4(f3(f4(x2341,a1,x2342)),f4(a1,a1,x2343),x2344)),f2(f3(x2341)))),
% 55.05/55.17 inference(scs_inference,[],[38,41,40,2,3,4,6,8,7])).
% 55.05/55.17 cnf(246,plain,
% 55.05/55.17 (E(f4(f3(x2461),x2462,x2463),f4(f4(f3(f4(x2461,a1,x2464)),f4(a1,a1,x2465),x2466),x2462,x2463))),
% 55.05/55.17 inference(scs_inference,[],[231,2])).
% 55.05/55.17 cnf(253,plain,
% 55.05/55.17 (E(f4(x2531,f3(f4(x2532,a1,x2533)),x2534),f4(x2531,f4(f3(x2532),a1,x2535),x2534))),
% 55.05/55.17 inference(scs_inference,[],[41,43,231,2,3,4,6,8,7,5])).
% 55.05/55.17 cnf(260,plain,
% 55.05/55.17 (E(f4(x2601,x2602,f3(x2603)),f4(x2601,x2602,f4(f3(f4(x2603,a1,x2604)),f4(a1,a1,x2605),x2606)))),
% 55.05/55.17 inference(scs_inference,[],[232,2])).
% 55.05/55.17 cnf(264,plain,
% 55.05/55.17 (~E(f2(f3(a6)),f4(f4(f2(a6),f4(a1,a1,x2641),x2642),f4(f3(a6),a1,x2643),a5))),
% 55.05/55.17 inference(scs_inference,[],[45,71,3])).
% 55.05/55.17 cnf(271,plain,
% 55.05/55.17 (E(f4(x2711,f3(x2712),x2713),f4(x2711,f4(f3(f4(x2712,a1,x2714)),f4(a1,a1,x2715),x2716),x2713))),
% 55.05/55.17 inference(scs_inference,[],[45,71,227,192,3,4,6,8,7,5])).
% 55.05/55.17 cnf(272,plain,
% 55.05/55.17 (~E(f4(f4(f2(a6),f4(a1,a1,x2721),x2722),f4(f3(a6),a1,x2723),a5),f2(f3(a6)))),
% 55.05/55.17 inference(scs_inference,[],[45,71,227,192,3,4,6,8,7,5,2])).
% 55.05/55.17 cnf(274,plain,
% 55.05/55.17 (E(f4(x2741,f2(f4(x2742,a1,x2743)),f2(f4(x2744,a1,x2745))),f4(x2741,f2(x2742),f2(x2744)))),
% 55.05/55.17 inference(scs_inference,[],[48,47,106,2,3])).
% 55.05/55.17 cnf(277,plain,
% 55.05/55.17 (E(f4(f2(f4(x2771,a1,x2772)),f2(f4(x2773,a1,x2774)),x2775),f4(f2(x2771),f2(x2773),x2775))),
% 55.05/55.17 inference(scs_inference,[],[47,49,3])).
% 55.05/55.17 cnf(283,plain,
% 55.05/55.17 (~E(f2(f4(f3(a6),a1,x2831)),f4(f2(a6),f3(a6),f4(f4(a5,a1,x2832),a1,x2833)))),
% 55.05/55.17 inference(scs_inference,[],[140,185,3,2])).
% 55.05/55.17 cnf(295,plain,
% 55.05/55.17 (E(f4(f3(f4(x2951,a1,x2952)),x2953,x2954),f4(f3(x2951),x2953,x2954))),
% 55.05/55.17 inference(scs_inference,[],[50,196,214,3,2])).
% 55.05/55.17 cnf(296,plain,
% 55.05/55.17 (~E(f2(f3(a6)),f4(f2(f4(a6,a1,x2961)),f3(a6),f4(f4(a5,a1,x2962),a1,x2963)))),
% 55.05/55.17 inference(scs_inference,[],[49,98,3])).
% 55.05/55.17 cnf(299,plain,
% 55.05/55.17 (E(f4(f2(f4(x2991,a1,x2992)),f4(x2993,x2994,f4(x2995,a1,x2996)),x2997),f4(f2(x2991),f4(x2993,x2994,x2995),x2997))),
% 55.05/55.17 inference(scs_inference,[],[49,129,296,2,3])).
% 55.05/55.17 cnf(302,plain,
% 55.05/55.17 (E(f4(x3021,f3(f4(x3022,a1,x3023)),x3024),f4(x3021,f3(x3022),x3024))),
% 55.05/55.17 inference(scs_inference,[],[199,2])).
% 55.05/55.17 cnf(313,plain,
% 55.05/55.17 (E(f4(x3131,f4(x3132,x3133,x3134),f4(x3135,x3136,x3137)),f4(x3131,f4(f4(x3132,a1,x3138),f4(x3133,a1,x3139),x3134),f4(x3135,x3136,f4(x3137,a1,x31310))))),
% 55.05/55.17 inference(scs_inference,[],[182,2])).
% 55.05/55.17 cnf(314,plain,
% 55.05/55.17 (E(f4(f4(x3141,x3142,x3143),f2(x3144),x3145),f4(f4(x3141,f4(x3142,a1,x3146),f4(x3143,a1,x3147)),f2(f4(x3144,a1,x3148)),x3145))),
% 55.05/55.17 inference(scs_inference,[],[53,146,182,2,3])).
% 55.05/55.17 cnf(322,plain,
% 55.05/55.17 (E(f4(f4(f4(x3221,x3222,x3223),f4(a1,a1,x3224),x3225),x3226,x3227),f4(f4(x3221,f4(x3222,a1,x3228),x3223),x3226,x3227))),
% 55.05/55.17 inference(scs_inference,[],[161,162,118,3,4])).
% 55.05/55.17 cnf(324,plain,
% 55.05/55.17 (E(f2(f4(f4(x3241,x3242,x3243),f4(a1,a1,x3244),x3245)),f2(f4(x3241,f4(x3242,a1,x3246),x3243)))),
% 55.05/55.17 inference(scs_inference,[],[161,162,118,3,4,8,7])).
% 55.05/55.17 cnf(325,plain,
% 55.05/55.17 (E(f4(x3251,f4(f4(x3252,x3253,x3254),f4(a1,a1,x3255),x3256),x3257),f4(x3251,f4(x3252,f4(x3253,a1,x3258),x3254),x3257))),
% 55.05/55.17 inference(scs_inference,[],[161,162,118,3,4,8,7,5])).
% 55.05/55.17 cnf(326,plain,
% 55.05/55.17 (~E(f4(f2(a6),f3(a6),f4(a5,a1,x3261)),f2(f4(f4(f3(a6),a1,x3262),f4(a1,a1,x3263),x3264)))),
% 55.05/55.17 inference(scs_inference,[],[161,162,118,3,4,8,7,5,2])).
% 55.05/55.17 cnf(333,plain,
% 55.05/55.17 (E(f4(f2(f4(x3331,a1,x3332)),x3333,f4(x3334,a1,x3335)),f4(f2(x3331),x3333,x3334))),
% 55.05/55.17 inference(rename_variables,[],[56])).
% 55.05/55.17 cnf(334,plain,
% 55.05/55.17 (E(f4(f2(x3341),x3342,x3343),f4(f2(f4(x3341,a1,x3344)),x3342,f4(x3343,a1,x3345)))),
% 55.05/55.17 inference(scs_inference,[],[53,56,333,3,2])).
% 55.05/55.17 cnf(339,plain,
% 55.05/55.17 (E(f4(x3391,x3392,f4(x3393,f4(x3394,a1,x3395),x3396)),f4(x3391,x3392,f4(f4(x3393,x3394,x3396),f4(a1,a1,x3397),x3398)))),
% 55.05/55.17 inference(scs_inference,[],[213,2])).
% 55.05/55.17 cnf(343,plain,
% 55.05/55.17 (E(f4(f4(f4(x3431,a1,x3432),x3433,f4(x3434,a1,x3435)),x3436,x3437),f4(f4(x3431,x3433,x3434),x3436,x3437))),
% 55.05/55.17 inference(scs_inference,[],[56,153,213,79,2,3,4])).
% 55.05/55.17 cnf(347,plain,
% 55.05/55.17 (~E(f4(f2(a6),f3(a6),a5),f2(f4(f4(f3(a6),a1,x3471),f4(a1,a1,x3472),x3473)))),
% 55.05/55.17 inference(scs_inference,[],[56,154,3])).
% 55.05/55.17 cnf(349,plain,
% 55.05/55.17 (~E(f2(f4(f4(f3(a6),a1,x3491),f4(a1,a1,x3492),x3493)),f4(f2(a6),f3(a6),a5))),
% 55.05/55.17 inference(scs_inference,[],[56,154,3,2])).
% 55.05/55.17 cnf(350,plain,
% 55.05/55.17 (E(f4(f4(x3501,x3502,x3503),x3504,x3505),f4(f4(f4(x3501,a1,x3506),x3502,f4(x3503,a1,x3507)),x3504,x3505))),
% 55.05/55.17 inference(scs_inference,[],[343,2])).
% 55.05/55.17 cnf(351,plain,
% 55.05/55.17 (~E(f2(f3(a6)),f4(f4(f4(f2(a6),a1,x3511),a1,f4(x3512,a1,x3513)),f3(a6),f4(a5,a1,x3514)))),
% 55.05/55.17 inference(scs_inference,[],[59,343,2,3])).
% 55.05/55.17 cnf(354,plain,
% 55.05/55.17 (~E(f4(f4(f4(f2(a6),a1,x3541),a1,f4(x3542,a1,x3543)),f3(a6),f4(a5,a1,x3544)),f2(f3(a6)))),
% 55.05/55.17 inference(scs_inference,[],[351,2])).
% 55.05/55.17 cnf(358,plain,
% 55.05/55.17 (E(f4(f4(x3581,f4(x3582,a1,x3583),x3584),x3585,x3586),f4(f4(f4(x3581,x3582,x3584),f4(a1,a1,x3587),x3588),x3585,x3586))),
% 55.05/55.17 inference(scs_inference,[],[322,2])).
% 55.05/55.17 cnf(359,plain,
% 55.05/55.17 (~E(f4(f4(f2(a6),a1,x3591),f3(a6),f4(f4(a5,a1,x3592),f4(a1,a1,x3593),x3594)),f2(f3(a6)))),
% 55.05/55.17 inference(scs_inference,[],[61,188,322,2,3])).
% 55.05/55.17 cnf(361,plain,
% 55.05/55.17 (E(f4(f4(x3611,x3612,f4(x3613,a1,x3614)),x3615,x3616),f4(f4(x3611,x3612,x3613),x3615,x3616))),
% 55.05/55.17 inference(scs_inference,[],[61,188,322,17,2,3,4])).
% 55.05/55.17 cnf(362,plain,
% 55.05/55.17 (E(f3(f4(x3621,f4(x3622,a1,x3623),f4(x3624,a1,x3625))),f3(f4(x3621,x3622,x3624)))),
% 55.05/55.17 inference(scs_inference,[],[61,188,322,63,17,2,3,4,8])).
% 55.05/55.17 cnf(363,plain,
% 55.05/55.17 (E(f2(f4(x3631,f4(x3632,a1,x3633),f4(x3634,a1,x3635))),f2(f4(x3631,x3632,x3634)))),
% 55.05/55.17 inference(scs_inference,[],[61,188,322,63,17,2,3,4,8,7])).
% 55.05/55.17 cnf(364,plain,
% 55.05/55.17 (~E(f2(f3(a6)),f4(f4(f2(a6),a1,x3641),f3(a6),f4(f4(a5,a1,x3642),f4(a1,a1,x3643),x3644)))),
% 55.05/55.17 inference(scs_inference,[],[359,2])).
% 55.05/55.17 cnf(365,plain,
% 55.05/55.17 (~E(f4(f4(f2(a6),a1,x3651),f3(a6),f4(a5,a1,x3652)),f2(f4(f3(f4(a6,a1,x3653)),f4(a1,a1,x3654),x3655)))),
% 55.05/55.17 inference(scs_inference,[],[61,359,234,2,3])).
% 55.05/55.17 cnf(367,plain,
% 55.05/55.17 (E(f4(x3671,x3672,x3673),f4(x3671,f4(x3672,a1,x3674),f4(x3673,a1,x3675)))),
% 55.05/55.17 inference(scs_inference,[],[63,2])).
% 55.05/55.17 cnf(372,plain,
% 55.05/55.17 (~E(f4(f4(f4(f2(a6),a1,x3721),f4(a1,a1,x3722),x3723),f3(a6),f4(a5,a1,x3724)),f2(f3(a6)))),
% 55.05/55.18 inference(scs_inference,[],[61,204,365,2,3])).
% 55.05/55.18 cnf(375,plain,
% 55.05/55.18 (~E(f2(f4(f4(f3(a6),a1,x3751),f4(a1,a1,x3752),x3753)),f4(f2(a6),f4(f3(a6),a1,x3754),f4(a5,a1,x3755)))),
% 55.05/55.18 inference(scs_inference,[],[63,325,349,2,3])).
% 55.05/55.18 cnf(377,plain,
% 55.05/55.18 (E(f3(f4(x3771,x3772,x3773)),f3(f4(x3771,f4(x3772,a1,x3774),f4(x3773,a1,x3775))))),
% 55.05/55.18 inference(scs_inference,[],[63,325,367,349,2,3,8])).
% 55.05/55.18 cnf(378,plain,
% 55.05/55.18 (E(f2(f4(x3781,x3782,x3783)),f2(f4(x3781,f4(x3782,a1,x3784),f4(x3783,a1,x3785))))),
% 55.05/55.18 inference(scs_inference,[],[63,325,367,349,2,3,8,7])).
% 55.05/55.18 cnf(379,plain,
% 55.05/55.18 (~E(f4(f2(a6),f4(f3(a6),a1,x3791),f4(a5,a1,x3792)),f2(f4(f4(f3(a6),a1,x3793),f4(a1,a1,x3794),x3795)))),
% 55.05/55.18 inference(scs_inference,[],[375,2])).
% 55.05/55.18 cnf(380,plain,
% 55.05/55.18 (E(f4(f4(x3801,f4(x3802,a1,x3803),x3804),x3805,f2(x3806)),f4(f4(x3801,x3802,x3804),x3805,f2(f4(x3806,a1,x3807))))),
% 55.05/55.18 inference(scs_inference,[],[62,66,375,2,3])).
% 55.05/55.18 cnf(386,plain,
% 55.05/55.18 (~E(f2(f3(a6)),f4(f4(f4(f2(a6),a1,x3861),f4(a1,a1,x3862),x3863),f3(a6),f4(a5,a1,x3864)))),
% 55.05/55.18 inference(scs_inference,[],[372,2])).
% 55.05/55.18 cnf(387,plain,
% 55.05/55.18 (~E(f4(f2(a6),f3(a6),a5),f2(f4(f3(a6),f4(a1,a1,x3871),x3872)))),
% 55.05/55.18 inference(scs_inference,[],[180,347,372,2,3])).
% 55.05/55.18 cnf(391,plain,
% 55.05/55.18 (E(f4(f4(x3911,f4(x3912,a1,x3913),x3914),x3915,f4(x3916,x3917,x3918)),f4(f4(x3911,x3912,x3914),x3915,f4(f4(x3916,a1,x3919),x3917,f4(x3918,a1,x39110))))),
% 55.05/55.18 inference(scs_inference,[],[66,181,299,2,3])).
% 55.05/55.18 cnf(395,plain,
% 55.05/55.18 (E(f2(f4(f4(x3951,a1,x3952),f4(x3953,a1,x3954),x3955)),f2(f4(x3951,x3953,x3955)))),
% 55.05/55.18 inference(scs_inference,[],[66,181,299,82,2,3,8,7])).
% 55.05/55.18 cnf(396,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),f4(a1,a1,x3961),x3962)),f4(f2(a6),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[387,2])).
% 55.05/55.18 cnf(397,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),a1,x3971),f4(f3(a6),a1,x3972),a5),f2(f3(a6)))),
% 55.05/55.18 inference(scs_inference,[],[66,387,272,2,3])).
% 55.05/55.18 cnf(400,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),f4(a1,a1,x4001),x4002)),f4(f2(a6),f3(f4(a6,a1,x4003)),a5))),
% 55.05/55.18 inference(scs_inference,[],[302,391,396,2,3])).
% 55.05/55.18 cnf(403,plain,
% 55.05/55.18 (E(f4(f4(x4031,x4032,f4(x4033,a1,x4034)),f4(x4035,f4(x4036,a1,x4037),x4038),x4039),f4(f4(x4031,x4032,x4033),f4(x4035,x4036,x4038),x4039))),
% 55.05/55.18 inference(scs_inference,[],[69,361,400,2,3])).
% 55.05/55.18 cnf(406,plain,
% 55.05/55.18 (E(f4(f4(x4061,x4062,x4063),f4(x4064,x4065,x4066),x4067),f4(f4(x4061,x4062,f4(x4063,a1,x4068)),f4(x4064,f4(x4065,a1,x4069),x4066),x4067))),
% 55.05/55.18 inference(scs_inference,[],[403,2])).
% 55.05/55.18 cnf(407,plain,
% 55.05/55.18 (E(f4(f3(x4071),f4(x4072,f4(x4073,a1,x4074),x4075),x4076),f4(f4(f3(f4(x4071,a1,x4077)),f4(a1,a1,x4078),x4079),f4(x4072,x4073,x4075),x4076))),
% 55.05/55.18 inference(scs_inference,[],[69,403,246,2,3])).
% 55.05/55.18 cnf(411,plain,
% 55.05/55.18 (E(f2(f3(f4(x4111,a1,x4112))),f2(f3(x4111)))),
% 55.05/55.18 inference(scs_inference,[],[69,403,246,15,2,3,8,7])).
% 55.05/55.18 cnf(413,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),f4(a1,a1,x4131),x4132)),f4(f2(a6),f3(a6),f4(f4(a5,a1,x4133),f4(a1,a1,x4134),x4135)))),
% 55.05/55.18 inference(scs_inference,[],[70,187,397,2,3])).
% 55.05/55.18 cnf(417,plain,
% 55.05/55.18 (E(f4(f4(x4171,f4(x4172,a1,x4173),x4174),f4(x4175,f4(a1,a1,x4176),x4177),x4178),f4(f4(x4171,x4172,x4174),x4175,x4178))),
% 55.05/55.18 inference(scs_inference,[],[69,71,2,3])).
% 55.05/55.18 cnf(420,plain,
% 55.05/55.18 (~E(f4(f2(a6),f3(a6),f4(f4(a5,a1,x4201),f4(a1,a1,x4202),x4203)),f2(f4(f3(a6),f4(a1,a1,x4204),x4205)))),
% 55.05/55.18 inference(scs_inference,[],[413,2])).
% 55.05/55.18 cnf(421,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),f3(a6),a5),a1,f4(x4211,a1,x4212)),f4(a1,f4(a1,a1,x4213),x4214),x4215),f2(f3(a6)))),
% 55.05/55.18 inference(scs_inference,[],[406,413,132,2,3])).
% 55.05/55.18 cnf(423,plain,
% 55.05/55.18 (E(f4(f4(x4231,x4232,x4233),x4234,x4235),f4(f4(x4231,f4(x4232,a1,x4236),x4233),f4(x4234,f4(a1,a1,x4237),x4238),x4235))),
% 55.05/55.18 inference(scs_inference,[],[417,2])).
% 55.05/55.18 cnf(424,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),f4(a1,a1,x4241),x4242)),f4(f2(a6),f3(a6),f4(a5,f4(a1,a1,x4243),x4244)))),
% 55.05/55.18 inference(scs_inference,[],[70,417,200,2,3])).
% 55.05/55.18 cnf(430,plain,
% 55.05/55.18 (E(f4(f4(x4301,x4302,x4303),x4304,f4(x4305,f4(x4306,a1,x4307),x4308)),f4(f4(x4301,f4(x4302,a1,x4309),x4303),x4304,f4(x4305,x4306,x4308)))),
% 55.05/55.18 inference(scs_inference,[],[70,74,424,2,3])).
% 55.05/55.18 cnf(433,plain,
% 55.05/55.18 (E(f4(f4(x4331,f4(x4332,a1,x4333),x4334),x4335,f4(x4336,x4337,x4338)),f4(f4(x4331,x4332,x4334),x4335,f4(x4336,f4(x4337,a1,x4339),x4338)))),
% 55.05/55.18 inference(scs_inference,[],[430,2])).
% 55.05/55.18 cnf(434,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),f3(a6),a5),f4(a1,a1,x4341),f4(x4342,a1,x4343)),f4(a1,f4(a1,a1,x4344),x4345),x4346),f2(f3(a6)))),
% 55.05/55.18 inference(scs_inference,[],[74,430,421,2,3])).
% 55.05/55.18 cnf(436,plain,
% 55.05/55.18 (~E(f2(f3(a6)),f4(f4(f4(f2(a6),f3(a6),a5),f4(a1,a1,x4361),f4(x4362,a1,x4363)),f4(a1,f4(a1,a1,x4364),x4365),x4366))),
% 55.05/55.18 inference(scs_inference,[],[434,2])).
% 55.05/55.18 cnf(437,plain,
% 55.05/55.18 (~E(f2(f3(a6)),f4(f4(f2(a6),f4(a1,a1,x4371),x4372),f4(f3(a6),a1,x4373),f4(f4(a5,a1,x4374),a1,x4375)))),
% 55.05/55.18 inference(scs_inference,[],[71,75,434,2,3])).
% 55.05/55.18 cnf(440,plain,
% 55.05/55.18 (E(f4(f4(f3(f4(x4401,a1,x4402)),f4(a1,a1,x4403),x4404),f4(x4405,x4406,x4407),x4408),f4(f3(x4401),f4(x4405,f4(x4406,a1,x4409),x4407),x4408))),
% 55.05/55.18 inference(scs_inference,[],[407,2])).
% 55.05/55.18 cnf(441,plain,
% 55.05/55.18 (E(f4(f4(x4411,f4(x4412,a1,x4413),x4414),x4415,f4(x4416,x4417,x4418)),f4(f4(x4411,f4(x4412,a1,x4419),x4414),x4415,f4(x4416,f4(x4417,a1,x44110),x4418)))),
% 55.05/55.18 inference(scs_inference,[],[74,433,407,2,3])).
% 55.05/55.18 cnf(444,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),f4(a1,a1,x4441),x4442),f3(a6),f4(f4(a5,a1,x4443),a1,x4444)),f2(f3(a6)))),
% 55.05/55.18 inference(scs_inference,[],[74,77,437,2,3])).
% 55.05/55.18 cnf(447,plain,
% 55.05/55.18 (~E(f2(f3(a6)),f4(f4(f4(f2(a6),f3(a6),a5),f4(a1,a1,x4471),f4(x4472,a1,x4473)),f4(a1,a1,x4474),x4475))),
% 55.05/55.18 inference(scs_inference,[],[78,441,436,2,3])).
% 55.05/55.18 cnf(450,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),f3(a6),a5),f4(a1,a1,x4501),f4(x4502,a1,x4503)),f4(a1,a1,x4504),x4505),f2(f3(a6)))),
% 55.05/55.18 inference(scs_inference,[],[447,2])).
% 55.05/55.18 cnf(451,plain,
% 55.05/55.18 (E(f4(f4(x4511,x4512,x4513),f4(x4514,x4515,x4516),x4517),f4(f4(f4(x4511,a1,x4518),x4512,f4(x4513,a1,x4519)),f4(x4514,f4(x4515,a1,x45110),x4516),x4517))),
% 55.05/55.18 inference(scs_inference,[],[78,350,447,2,3])).
% 55.05/55.18 cnf(454,plain,
% 55.05/55.18 (E(f4(x4541,x4542,x4543),f4(f4(x4541,a1,x4544),x4542,f4(x4543,a1,x4545)))),
% 55.05/55.18 inference(scs_inference,[],[79,2])).
% 55.05/55.18 cnf(455,plain,
% 55.05/55.18 (~E(f4(f2(a6),f4(f3(a6),f4(a1,a1,x4551),x4552),f4(a5,a1,x4553)),f2(f4(f4(f3(a6),a1,x4554),f4(a1,a1,x4555),x4556)))),
% 55.05/55.18 inference(scs_inference,[],[78,79,379,2,3])).
% 55.05/55.18 cnf(459,plain,
% 55.05/55.18 (~E(f2(f4(f4(f3(a6),a1,x4591),f4(a1,a1,x4592),x4593)),f4(f2(a6),f4(f3(a6),f4(a1,a1,x4594),x4595),f4(a5,a1,x4596)))),
% 55.05/55.18 inference(scs_inference,[],[455,2])).
% 55.05/55.18 cnf(460,plain,
% 55.05/55.18 (~E(f4(f2(f3(a6)),f4(a1,a1,x4601),x4602),f4(f4(f4(f2(a6),f3(a6),f4(a5,a1,x4603)),a1,x4604),a1,f4(x4605,a1,x4606)))),
% 55.05/55.18 inference(scs_inference,[],[79,455,128,2,3])).
% 55.05/55.18 cnf(463,plain,
% 55.05/55.18 (E(f4(x4631,x4632,x4633),f4(f4(x4631,a1,x4634),f4(x4632,a1,x4635),x4633))),
% 55.05/55.18 inference(scs_inference,[],[82,2])).
% 55.05/55.18 cnf(467,plain,
% 55.05/55.18 (E(f4(x4671,f4(x4672,x4673,x4674),x4675),f4(x4671,f4(f4(x4672,a1,x4676),f4(x4673,a1,x4677),x4674),x4675))),
% 55.05/55.18 inference(scs_inference,[],[463,5])).
% 55.05/55.18 cnf(469,plain,
% 55.05/55.18 (E(f4(f3(f4(x4691,a1,x4692)),f4(x4693,x4694,x4695),x4696),f4(f3(x4691),f4(x4693,f4(x4694,a1,x4697),x4695),x4696))),
% 55.05/55.18 inference(scs_inference,[],[78,295,463,460,5,2,3])).
% 55.05/55.18 cnf(472,plain,
% 55.05/55.18 (E(f4(f4(f4(x4721,a1,x4722),x4723,f4(x4724,a1,x4725)),f4(x4726,f4(x4727,a1,x4728),x4729),x47210),f4(f4(x4721,x4723,x4724),f4(x4726,x4727,x4729),x47210))),
% 55.05/55.18 inference(scs_inference,[],[451,2])).
% 55.05/55.18 cnf(473,plain,
% 55.05/55.18 (~E(f4(f2(f3(a6)),f4(a1,a1,x4731),x4732),f4(f4(f4(f2(a6),f3(a6),a5),a1,x4733),a1,f4(x4734,a1,x4735)))),
% 55.05/55.18 inference(scs_inference,[],[79,451,116,2,3])).
% 55.05/55.18 cnf(476,plain,
% 55.05/55.18 (E(f2(f4(x4761,x4762,x4763)),f2(f4(f4(x4761,a1,x4764),f4(x4762,a1,x4765),x4763)))),
% 55.05/55.18 inference(scs_inference,[],[79,451,116,463,2,3,7])).
% 55.05/55.18 cnf(478,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),f3(a6),a5),a1,x4781),a1,f4(x4782,a1,x4783)),f4(f2(f3(a6)),f4(a1,a1,x4784),x4785))),
% 55.05/55.18 inference(scs_inference,[],[473,2])).
% 55.05/55.18 cnf(479,plain,
% 55.05/55.18 (E(f4(f4(f4(x4791,a1,x4792),a1,x4793),f4(x4794,a1,x4795),f4(x4796,a1,x4797)),f4(x4791,x4794,x4796))),
% 55.05/55.18 inference(scs_inference,[],[79,82,473,2,3])).
% 55.05/55.18 cnf(482,plain,
% 55.05/55.18 (E(f4(x4821,x4822,f4(f4(f4(x4823,a1,x4824),a1,x4825),f4(x4826,a1,x4827),f4(x4828,a1,x4829))),f4(x4821,x4822,f4(x4823,x4826,x4828)))),
% 55.05/55.18 inference(scs_inference,[],[79,82,473,2,3,6])).
% 55.05/55.18 cnf(483,plain,
% 55.05/55.18 (E(f4(f4(f4(f4(x4831,a1,x4832),a1,x4833),f4(x4834,a1,x4835),f4(x4836,a1,x4837)),x4838,x4839),f4(f4(x4831,x4834,x4836),x4838,x4839))),
% 55.05/55.18 inference(scs_inference,[],[79,82,473,2,3,6,4])).
% 55.05/55.18 cnf(485,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),f4(a1,a1,x4851),x4852)),f4(f2(a6),f4(f3(a6),f4(a1,a1,x4853),x4854),f4(a5,a1,x4855)))),
% 55.05/55.18 inference(scs_inference,[],[85,482,459,2,3])).
% 55.05/55.18 cnf(487,plain,
% 55.05/55.18 (~E(f4(f2(a6),f4(f3(a6),f4(a1,a1,x4871),x4872),f4(a5,a1,x4873)),f2(f4(f3(a6),f4(a1,a1,x4874),x4875)))),
% 55.05/55.18 inference(scs_inference,[],[485,2])).
% 55.05/55.18 cnf(488,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),f3(a6),a5),f4(a1,a1,x4881),f4(x4882,a1,x4883)),f4(a1,a1,x4884),x4885),f2(f3(f4(a6,a1,x4886))))),
% 55.05/55.18 inference(scs_inference,[],[411,485,450,2,3])).
% 55.05/55.18 cnf(490,plain,
% 55.05/55.18 (E(f4(x4901,f4(f4(f4(x4902,a1,x4903),a1,x4904),f4(x4905,a1,x4906),f4(x4907,a1,x4908)),x4909),f4(x4901,f4(x4902,x4905,x4907),x4909))),
% 55.05/55.18 inference(scs_inference,[],[411,479,485,450,2,3,5])).
% 55.05/55.18 cnf(492,plain,
% 55.05/55.18 (E(f4(x4921,f4(f4(x4922,a1,x4923),x4924,x4925),x4926),f4(x4921,f4(f4(x4922,a1,x4927),f4(x4924,a1,x4928),x4925),x4926))),
% 55.05/55.18 inference(scs_inference,[],[86,467,483,2,3])).
% 55.05/55.18 cnf(501,plain,
% 55.05/55.18 (~E(f2(f3(a6)),f4(f4(f2(a6),a1,x5011),f3(a6),f4(f4(f4(a5,a1,x5012),a1,x5013),f4(a1,a1,x5014),x5015)))),
% 55.05/55.18 inference(scs_inference,[],[87,492,364,2,3])).
% 55.05/55.18 cnf(505,plain,
% 55.05/55.18 (E(f4(x5051,f4(f4(x5052,a1,x5053),x5054,x5055),f4(f4(x5056,a1,x5057),x5058,x5059)),f4(x5051,f4(x5052,x5054,x5055),f4(x5056,x5058,x5059)))),
% 55.05/55.18 inference(scs_inference,[],[87,86,501,2,3])).
% 55.05/55.18 cnf(509,plain,
% 55.05/55.18 (E(f4(f4(f4(x5091,a1,x5092),x5093,x5094),f4(f4(x5095,a1,x5096),x5097,x5098),x5099),f4(f4(x5091,x5093,x5094),f4(x5095,x5097,x5098),x5099))),
% 55.05/55.18 inference(scs_inference,[],[86,88,505,2,3])).
% 55.05/55.18 cnf(513,plain,
% 55.05/55.18 (~E(f2(f3(a6)),f4(f4(f4(f4(f2(a6),a1,x5131),a1,x5132),f4(a1,a1,x5133),x5134),f3(a6),f4(a5,a1,x5135)))),
% 55.05/55.18 inference(scs_inference,[],[88,444,386,2,3])).
% 55.05/55.18 cnf(516,plain,
% 55.05/55.18 (E(f4(f4(x5161,x5162,x5163),f4(x5164,x5165,x5166),x5167),f4(f4(f4(x5161,a1,x5168),x5162,x5163),f4(f4(x5164,a1,x5169),x5165,x5166),x5167))),
% 55.05/55.18 inference(scs_inference,[],[509,2])).
% 55.05/55.18 cnf(517,plain,
% 55.05/55.18 (E(f4(f4(f4(x5171,a1,x5172),x5173,x5174),x5175,f4(f4(x5176,a1,x5177),x5178,x5179)),f4(f4(x5171,x5173,x5174),x5175,f4(x5176,x5178,x5179)))),
% 55.05/55.18 inference(scs_inference,[],[87,88,509,2,3])).
% 55.05/55.18 cnf(521,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),f4(a1,a1,x5211),x5212),f4(f3(a6),f4(a1,a1,x5213),x5214),f4(a5,a1,x5215)),f2(f4(f3(a6),f4(a1,a1,x5216),x5217)))),
% 55.05/55.18 inference(scs_inference,[],[212,487,513,2,3])).
% 55.05/55.18 cnf(523,plain,
% 55.05/55.18 (E(f4(f4(x5231,x5232,x5233),x5234,f4(x5235,x5236,x5237)),f4(f4(f4(x5231,a1,x5238),x5232,x5233),x5234,f4(f4(x5235,a1,x5239),x5236,x5237)))),
% 55.05/55.18 inference(scs_inference,[],[517,2])).
% 55.05/55.18 cnf(524,plain,
% 55.05/55.18 (~E(f4(f2(a6),f4(f3(a6),a1,x5241),a5),f2(f3(f4(a6,a1,x5242))))),
% 55.05/55.18 inference(scs_inference,[],[91,517,411,2,3])).
% 55.05/55.18 cnf(526,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),f4(a1,a1,x5261),x5262)),f4(f4(f2(a6),f4(a1,a1,x5263),x5264),f4(f3(a6),f4(a1,a1,x5265),x5266),f4(a5,a1,x5267)))),
% 55.05/55.18 inference(scs_inference,[],[521,2])).
% 55.05/55.18 cnf(533,plain,
% 55.05/55.18 (~E(f2(f3(f4(a6,a1,x5331))),f4(f2(a6),f4(f3(a6),a1,x5332),a5))),
% 55.05/55.18 inference(scs_inference,[],[524,2])).
% 55.05/55.18 cnf(545,plain,
% 55.05/55.18 (~E(f2(f3(a6)),f4(f4(f4(f2(a6),a1,x5451),f4(a1,a1,x5452),f4(x5453,a1,x5454)),f4(f3(a6),f4(a1,a1,x5455),x5456),a5))),
% 55.05/55.18 inference(scs_inference,[],[472,490,264,2,3])).
% 55.05/55.18 cnf(549,plain,
% 55.05/55.18 (E(f4(f4(x5491,x5492,x5493),f4(x5494,x5495,x5496),f4(x5497,x5498,x5499)),f4(f4(f4(x5491,a1,x54910),x5492,x5493),f4(f4(x5494,a1,x54911),x5495,x5496),f4(x5497,f4(x5498,a1,x54912),x5499)))),
% 55.05/55.18 inference(scs_inference,[],[92,516,545,2,3])).
% 55.05/55.18 cnf(552,plain,
% 55.05/55.18 (E(f4(f4(f4(x5521,a1,x5522),x5523,x5524),f4(f4(x5525,a1,x5526),x5527,x5528),f4(x5529,f4(x55210,a1,x55211),x55212)),f4(f4(x5521,x5523,x5524),f4(x5525,x5527,x5528),f4(x5529,x55210,x55212)))),
% 55.05/55.18 inference(scs_inference,[],[549,2])).
% 55.05/55.18 cnf(553,plain,
% 55.05/55.18 (~E(f4(f2(a6),f4(f3(f4(a6,a1,x5531)),f4(a1,a1,x5532),x5533),f4(f4(a5,a1,x5534),a1,x5535)),f2(f3(a6)))),
% 55.05/55.18 inference(scs_inference,[],[96,271,549,2,3])).
% 55.05/55.18 cnf(556,plain,
% 55.05/55.18 (~E(f2(f3(f4(a6,a1,x5561))),f4(f2(a6),f3(f4(a6,a1,x5562)),a5))),
% 55.05/55.18 inference(scs_inference,[],[253,533,553,2,3])).
% 55.05/55.18 cnf(560,plain,
% 55.05/55.18 (E(f4(f4(x5601,x5602,x5603),f4(x5604,x5605,x5606),f4(x5607,x5608,x5609)),f4(f4(f4(x5601,a1,x56010),x5602,x5603),f4(f4(x5604,a1,x56011),x5605,x5606),f4(f4(x5607,a1,x56012),x5608,x5609)))),
% 55.05/55.18 inference(scs_inference,[],[99,523,380,2,3])).
% 55.05/55.18 cnf(564,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),f3(a6),a5),f4(a1,a1,x5641),x5642),f4(a1,f4(a1,a1,x5643),x5644),f4(x5645,a1,x5646)),f4(f2(f3(a6)),f4(a1,a1,x5647),x5648))),
% 55.05/55.18 inference(scs_inference,[],[423,478,556,2,3])).
% 55.05/55.18 cnf(566,plain,
% 55.05/55.18 (E(f4(f4(f4(x5661,a1,x5662),x5663,x5664),f4(f4(x5665,a1,x5666),x5667,x5668),f4(f4(x5669,a1,x56610),x56611,x56612)),f4(f4(x5661,x5663,x5664),f4(x5665,x5667,x5668),f4(x5669,x56611,x56612)))),
% 55.05/55.18 inference(scs_inference,[],[560,2])).
% 55.05/55.18 cnf(567,plain,
% 55.05/55.18 (~E(f2(f3(a6)),f4(f4(f2(f4(a6,a1,x5671)),f4(a1,a1,x5672),x5673),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[100,560,136,2,3])).
% 55.05/55.18 cnf(571,plain,
% 55.05/55.18 (E(f4(x5711,f4(x5712,x5713,x5714),f3(x5715)),f4(x5711,f4(f4(x5712,a1,x5716),x5713,x5714),f4(f3(f4(x5715,a1,x5717)),f4(a1,a1,x5718),x5719)))),
% 55.05/55.18 inference(scs_inference,[],[99,260,564,2,3])).
% 55.05/55.18 cnf(574,plain,
% 55.05/55.18 (E(f4(x5741,f4(f4(x5742,a1,x5743),x5744,x5745),f4(f3(f4(x5746,a1,x5747)),f4(a1,a1,x5748),x5749)),f4(x5741,f4(x5742,x5744,x5745),f3(x5746)))),
% 55.05/55.18 inference(scs_inference,[],[571,2])).
% 55.05/55.18 cnf(575,plain,
% 55.05/55.18 (E(f4(f4(f3(f4(x5751,a1,x5752)),f4(a1,a1,x5753),x5754),f4(x5755,x5756,x5757),x5758),f4(f3(x5751),f4(f4(x5755,a1,x5759),f4(x5756,a1,x57510),x5757),x5758))),
% 55.05/55.18 inference(scs_inference,[],[99,571,440,2,3])).
% 55.05/55.18 cnf(579,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),a1,x5791)),f4(f2(a6),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[164,283,567,2,3])).
% 55.05/55.18 cnf(582,plain,
% 55.05/55.18 (E(f4(f3(x5821),f4(x5822,f4(x5823,a1,x5824),x5825),x5826),f4(f3(f4(x5821,a1,x5827)),f4(x5822,x5823,x5825),x5826))),
% 55.05/55.18 inference(scs_inference,[],[469,2])).
% 55.05/55.18 cnf(583,plain,
% 55.05/55.18 (E(f4(x5831,f4(x5832,x5833,x5834),f4(x5835,x5836,x5837)),f4(x5831,f4(x5832,x5833,f4(x5834,a1,x5838)),f4(x5835,x5836,f4(x5837,a1,x5839))))),
% 55.05/55.18 inference(scs_inference,[],[102,103,469,2,3])).
% 55.05/55.18 cnf(587,plain,
% 55.05/55.18 (E(f4(f4(f3(f4(x5871,a1,x5872)),f4(a1,a1,x5873),x5874),f4(x5875,x5876,x5877),x5878),f4(f3(x5871),f4(f4(x5875,a1,x5879),f4(x5876,a1,x58710),f4(x5877,a1,x58711)),x5878))),
% 55.05/55.18 inference(scs_inference,[],[102,575,579,2,3])).
% 55.05/55.18 cnf(590,plain,
% 55.05/55.18 (E(f4(x5901,f4(x5902,x5903,f4(x5904,a1,x5905)),f4(x5906,x5907,f4(x5908,a1,x5909))),f4(x5901,f4(x5902,x5903,x5904),f4(x5906,x5907,x5908)))),
% 55.05/55.18 inference(scs_inference,[],[583,2])).
% 55.05/55.18 cnf(606,plain,
% 55.05/55.18 (E(f4(f4(x6061,x6062,x6063),f4(x6064,x6065,f4(x6066,a1,x6067)),f4(x6068,x6069,f4(x60610,a1,x60611))),f4(f4(x6061,x6062,f4(x6063,a1,x60612)),f4(x6064,x6065,x6066),f4(x6068,x6069,x60610)))),
% 55.05/55.18 inference(scs_inference,[],[104,590,314,2,3])).
% 55.05/55.18 cnf(613,plain,
% 55.05/55.18 (E(f4(f4(x6131,x6132,f4(x6133,a1,x6134)),f4(x6135,x6136,x6137),f4(x6138,x6139,x61310)),f4(f4(x6131,x6132,x6133),f4(x6135,x6136,f4(x6137,a1,x61311)),f4(x6138,x6139,f4(x61310,a1,x61312))))),
% 55.05/55.18 inference(scs_inference,[],[606,2])).
% 55.05/55.18 cnf(614,plain,
% 55.05/55.18 (~E(f4(f2(f4(a6,a1,x6141)),f3(a6),f4(a5,a1,x6142)),f2(f4(f3(f4(a6,a1,x6143)),f4(a1,a1,x6144),x6145)))),
% 55.05/55.18 inference(scs_inference,[],[107,606,234,2,3])).
% 55.05/55.18 cnf(616,plain,
% 55.05/55.18 (~E(f2(f4(f3(f4(a6,a1,x6161)),f4(a1,a1,x6162),x6163)),f4(f2(f4(a6,a1,x6164)),f3(a6),f4(a5,a1,x6165)))),
% 55.05/55.18 inference(scs_inference,[],[614,2])).
% 55.05/55.18 cnf(620,plain,
% 55.05/55.18 (~E(f4(f2(f4(a6,a1,a5)),f3(a6),a5),f4(f4(f2(a6),f4(a1,a1,x6201),x6202),f4(f3(a6),f4(a1,a1,x6203),x6204),f4(a5,a1,x6205)))),
% 55.05/55.18 inference(scs_inference,[],[108,526,2,3])).
% 55.05/55.18 cnf(623,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),f4(a1,a1,x6231),x6232),f4(f3(a6),f4(a1,a1,x6233),x6234),f4(a5,a1,x6235)),f4(f2(f4(a6,a1,a5)),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[620,2])).
% 55.05/55.18 cnf(624,plain,
% 55.05/55.18 (~E(f4(f2(f4(a6,a1,x6241)),f3(a6),f4(a5,a1,x6242)),f2(f3(f4(a6,a1,x6243))))),
% 55.05/55.18 inference(scs_inference,[],[107,620,411,2,3])).
% 55.05/55.18 cnf(631,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),a1,x6311),f4(a1,a1,x6312),x6313),f4(f3(a6),f4(a1,a1,x6314),x6315),f4(a5,a1,x6316)),f4(f2(f4(a6,a1,a5)),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[358,623,624,2,3])).
% 55.05/55.18 cnf(634,plain,
% 55.05/55.18 (~E(f2(f4(f3(f4(a6,a1,x6341)),f4(a1,a1,x6342),x6343)),f4(f2(a6),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[112,334,616,2,3])).
% 55.05/55.18 cnf(637,plain,
% 55.05/55.18 (~E(f4(f2(a6),f3(a6),a5),f2(f4(f3(f4(a6,a1,x6371)),f4(a1,a1,x6372),x6373)))),
% 55.05/55.18 inference(scs_inference,[],[634,2])).
% 55.05/55.18 cnf(644,plain,
% 55.05/55.18 (~E(f4(f2(f4(a6,a1,a5)),f3(a6),a5),f4(f4(f4(f2(a6),a1,x6441),f4(a1,a1,x6442),x6443),f4(f3(a6),f4(a1,a1,x6444),x6445),f4(a5,a1,x6446)))),
% 55.05/55.18 inference(scs_inference,[],[631,2])).
% 55.05/55.18 cnf(656,plain,
% 55.05/55.18 (~E(f4(f2(a6),f3(a6),a5),f2(f4(f3(f4(a6,a1,x6561)),f4(f4(a1,a1,x6562),a1,x6563),f4(x6564,a1,x6565))))),
% 55.05/55.18 inference(scs_inference,[],[587,363,637,2,3])).
% 55.05/55.18 cnf(660,plain,
% 55.05/55.18 (E(f4(f4(x6601,x6602,x6603),f4(f4(x6604,a1,x6605),x6606,x6607),f4(x6608,f4(x6609,a1,x66010),x66011)),f4(f4(x6601,x6602,x6603),f4(x6604,x6606,x6607),f4(x6608,x6609,x66011)))),
% 55.05/55.18 inference(scs_inference,[],[117,552,656,2,3])).
% 55.05/55.18 cnf(663,plain,
% 55.05/55.18 (E(f4(x6631,f4(x6632,a1,x6633),x6634),f4(f4(x6631,x6632,x6634),f4(a1,a1,x6635),x6636))),
% 55.05/55.18 inference(scs_inference,[],[118,2])).
% 55.05/55.18 cnf(664,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),f3(a6),a5),f4(f4(a1,a1,x6641),a1,x6642),f4(x6643,a1,x6644)),f2(f3(f4(a6,a1,x6645))))),
% 55.05/55.18 inference(scs_inference,[],[118,488,2,3])).
% 55.05/55.18 cnf(669,plain,
% 55.05/55.18 (~E(f4(f2(a6),f3(a6),f4(f4(a5,a1,x6691),f4(a1,a1,x6692),x6693)),f2(f4(f3(a6),a1,x6694)))),
% 55.05/55.18 inference(scs_inference,[],[378,663,664,420,7,8,2,3])).
% 55.05/55.18 cnf(672,plain,
% 55.05/55.18 (E(f4(f4(x6721,x6722,x6723),f4(x6724,x6725,x6726),f4(x6727,x6728,x6729)),f4(f4(x6721,x6722,x6723),f4(f4(x6724,a1,x67210),x6725,x6726),f4(x6727,f4(x6728,a1,x67211),x6729)))),
% 55.05/55.18 inference(scs_inference,[],[660,2])).
% 55.05/55.18 cnf(676,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),a1,x6761)),f4(f2(a6),f3(a6),f4(f4(a5,a1,x6762),f4(a1,a1,x6763),x6764)))),
% 55.05/55.18 inference(scs_inference,[],[669,2])).
% 55.05/55.18 cnf(677,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),f3(a6),a5),f4(f4(a1,a1,x6771),a1,x6772),f4(x6773,a1,x6774)),f2(f3(a6)))),
% 55.05/55.18 inference(scs_inference,[],[118,669,450,2,3])).
% 55.05/55.18 cnf(687,plain,
% 55.05/55.18 (E(f3(f4(f4(x6871,f4(x6872,a1,x6873),f4(x6874,a1,x6875)),f4(a1,a1,x6876),x6877)),f3(f4(x6871,x6872,x6874)))),
% 55.05/55.18 inference(scs_inference,[],[123,274,362,2,3])).
% 55.05/55.18 cnf(690,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),f3(a6),a5),f4(f4(a1,a1,x6901),a1,x6902),f4(x6903,a1,x6904)),f2(f4(f3(a6),f4(a1,a1,x6905),x6906)))),
% 55.05/55.18 inference(scs_inference,[],[677,124,2,3])).
% 55.05/55.18 cnf(693,plain,
% 55.05/55.18 (E(f4(f4(x6931,f4(a1,a1,x6932),x6933),f4(x6934,x6935,x6936),f4(x6937,x6938,x6939)),f4(x6931,f4(f4(x6934,a1,x69310),x6935,x6936),f4(x6937,f4(x6938,a1,x69311),x6939)))),
% 55.05/55.18 inference(scs_inference,[],[122,672,277,2,3])).
% 55.05/55.18 cnf(696,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),f4(a1,a1,x6961),x6962)),f4(f4(f2(a6),f3(a6),a5),f4(f4(a1,a1,x6963),a1,x6964),f4(x6965,a1,x6966)))),
% 55.05/55.18 inference(scs_inference,[],[690,2])).
% 55.05/55.18 cnf(700,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),f4(a1,a1,x7001),x7002)),f4(f2(f4(a6,a1,x7003)),f4(f3(a6),f4(a1,a1,x7004),x7005),f4(a5,a1,x7006)))),
% 55.05/55.18 inference(scs_inference,[],[125,693,145,2,3])).
% 55.05/55.18 cnf(703,plain,
% 55.05/55.18 (E(f4(f4(f4(x7031,a1,x7032),x7033,x7034),f4(f4(x7035,a1,x7036),f4(a1,a1,x7037),x7038),f4(f4(x7039,a1,x70310),x70311,x70312)),f4(f4(x7031,x7033,x7034),x7035,f4(x7039,x70311,x70312)))),
% 55.05/55.18 inference(scs_inference,[],[125,566,700,2,3])).
% 55.05/55.18 cnf(707,plain,
% 55.05/55.18 (E(f4(x7071,f4(f4(x7072,a1,x7073),f4(a1,a1,x7074),x7075),f4(f3(f4(x7076,a1,x7077)),f4(a1,a1,x7078),x7079)),f4(x7071,x7072,f3(x7076)))),
% 55.05/55.18 inference(scs_inference,[],[125,574,703,2,3])).
% 55.05/55.18 cnf(714,plain,
% 55.05/55.18 (E(f4(f4(x7141,x7142,f4(x7143,a1,x7144)),f4(x7145,f4(a1,a1,x7146),x7147),f4(x7148,x7149,x71410)),f4(f4(x7141,x7142,x7143),x7145,f4(x7148,x7149,f4(x71410,a1,x71411))))),
% 55.05/55.18 inference(scs_inference,[],[125,613,707,2,3])).
% 55.05/55.18 cnf(722,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),a1,x7221)),f4(f2(a6),f3(a6),f4(a5,f4(a1,a1,x7222),x7223)))),
% 55.05/55.18 inference(scs_inference,[],[339,714,676,2,3])).
% 55.05/55.18 cnf(726,plain,
% 55.05/55.18 (E(f4(x7261,f4(x7262,x7263,f4(x7264,a1,x7265)),f4(x7266,x7267,x7268)),f4(x7261,f4(f4(x7262,a1,x7269),f4(x7263,a1,x72610),x7264),f4(x7266,x7267,f4(x7268,a1,x72611))))),
% 55.05/55.18 inference(scs_inference,[],[129,313,722,2,3])).
% 55.05/55.18 cnf(730,plain,
% 55.05/55.18 (E(f4(f3(x7301),f4(x7302,f4(x7303,a1,x7304),f4(x7305,a1,x7306)),x7307),f4(f3(f4(x7301,a1,x7308)),f4(x7302,x7303,x7305),x7307))),
% 55.05/55.18 inference(scs_inference,[],[129,582,726,2,3])).
% 55.05/55.18 cnf(736,plain,
% 55.05/55.18 (E(f4(f3(f4(x7361,a1,x7362)),f4(x7363,x7364,x7365),x7366),f4(f3(x7361),f4(x7363,f4(x7364,a1,x7367),f4(x7365,a1,x7368)),x7366))),
% 55.05/55.18 inference(scs_inference,[],[730,2])).
% 55.05/55.18 cnf(790,plain,
% 55.05/55.18 (E(f3(f4(x7901,x7902,x7903)),f3(f4(x7901,f4(f4(x7902,a1,x7904),a1,x7905),f4(x7903,a1,x7906))))),
% 55.05/55.18 inference(scs_inference,[],[139,377,3])).
% 55.05/55.18 cnf(794,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),f4(a1,a1,x7941),x7942)),f4(f4(f2(a6),f3(a6),a5),f4(f4(a1,a1,x7943),f4(a1,a1,x7944),f4(x7945,a1,x7946)),f4(x7947,a1,x7948)))),
% 55.05/55.18 inference(scs_inference,[],[141,696,3])).
% 55.05/55.18 cnf(800,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),f3(a6),a5),f4(f4(a1,a1,x8001),f4(a1,a1,x8002),f4(x8003,a1,x8004)),f4(x8005,a1,x8006)),f2(f4(f3(a6),f4(a1,a1,x8007),x8008)))),
% 55.05/55.18 inference(scs_inference,[],[140,395,794,3,2])).
% 55.05/55.18 cnf(807,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),f3(a6),a5),f4(f4(a1,a1,x8071),f4(a1,a1,x8072),f4(x8073,a1,x8074)),f4(x8075,a1,x8076)),f2(f4(f3(a6),a1,x8077)))),
% 55.05/55.18 inference(scs_inference,[],[140,800,3])).
% 55.05/55.18 cnf(817,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),a1,x8171)),f4(f4(f2(a6),f3(a6),a5),f4(f4(a1,a1,x8172),f4(a1,a1,x8173),f4(x8174,a1,x8175)),f4(x8176,a1,x8177)))),
% 55.05/55.18 inference(scs_inference,[],[141,807,3,2])).
% 55.05/55.18 cnf(834,plain,
% 55.05/55.18 (E(f4(f4(x8341,x8342,x8343),f4(x8344,x8345,x8346),x8347),f4(f4(x8341,f4(x8342,a1,x8348),f4(x8343,a1,x8349)),f4(f4(x8344,a1,x83410),x8345,x8346),f4(x8347,a1,x83411)))),
% 55.05/55.18 inference(scs_inference,[],[147,146,3])).
% 55.05/55.18 cnf(854,plain,
% 55.05/55.18 (~E(f4(f2(f4(a6,a1,a5)),f3(a6),a5),f4(f4(f4(f2(a6),a1,x8541),f4(a1,a1,x8542),x8543),f4(f3(a6),a1,x8544),f4(a5,a1,x8545)))),
% 55.05/55.18 inference(scs_inference,[],[153,644,3])).
% 55.05/55.18 cnf(861,plain,
% 55.05/55.18 (E(f4(f3(f4(x8611,a1,x8612)),f4(x8613,x8614,x8615),x8616),f4(f3(x8611),f4(x8613,x8614,x8615),f4(x8616,a1,x8617)))),
% 55.05/55.18 inference(scs_inference,[],[150,736,3])).
% 55.05/55.18 cnf(864,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),a1,x8641),f4(a1,a1,x8642),x8643),f4(f3(a6),a1,x8644),f4(a5,a1,x8645)),f4(f2(f4(a6,a1,a5)),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[150,736,854,3,2])).
% 55.05/55.18 cnf(888,plain,
% 55.05/55.18 (~E(f4(f2(a6),f3(a6),f4(a5,a1,x8881)),f2(f4(f3(a6),a1,x8882)))),
% 55.05/55.18 inference(scs_inference,[],[476,790,326,2,3])).
% 55.05/55.18 cnf(892,plain,
% 55.05/55.18 (E(f4(x8921,f4(f4(x8922,a1,x8923),x8924,f4(x8925,a1,x8926)),f4(f4(x8927,a1,x8928),x8929,f4(x89210,a1,x89211))),f4(x8921,f4(x8922,x8924,x8925),f4(x8927,x8929,x89210)))),
% 55.05/55.18 inference(scs_inference,[],[159,160,888,2,3])).
% 55.05/55.18 cnf(895,plain,
% 55.05/55.18 (E(f4(x8951,f4(x8952,x8953,x8954),f4(x8955,x8956,x8957)),f4(x8951,f4(f4(x8952,a1,x8958),x8953,f4(x8954,a1,x8959)),f4(f4(x8955,a1,x89510),x8956,f4(x8957,a1,x89511))))),
% 55.05/55.18 inference(scs_inference,[],[892,2])).
% 55.05/55.18 cnf(900,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),a1,x9001),f4(a1,a1,x9002),x9003),f4(f3(a6),a1,x9004),f4(a5,a1,x9005)),f4(f2(a6),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[161,864,421,2,3])).
% 55.05/55.18 cnf(903,plain,
% 55.05/55.18 (E(f4(f2(x9031),x9032,f4(f4(x9033,a1,x9034),x9035,f4(x9036,a1,x9037))),f4(f2(f4(x9031,a1,x9038)),x9032,f4(x9033,x9035,x9036)))),
% 55.05/55.18 inference(scs_inference,[],[160,161,173,2,3])).
% 55.05/55.18 cnf(906,plain,
% 55.05/55.18 (~E(f4(f2(a6),f3(a6),a5),f4(f4(f4(f2(a6),a1,x9061),f4(a1,a1,x9062),x9063),f4(f3(a6),a1,x9064),f4(a5,a1,x9065)))),
% 55.05/55.18 inference(scs_inference,[],[900,2])).
% 55.05/55.18 cnf(910,plain,
% 55.05/55.18 (E(f4(f2(f4(x9101,a1,x9102)),x9103,f4(x9104,x9105,x9106)),f4(f2(x9101),x9103,f4(f4(x9104,a1,x9107),x9105,f4(x9106,a1,x9108))))),
% 55.05/55.18 inference(scs_inference,[],[903,2])).
% 55.05/55.18 cnf(911,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),a1,x9111),a1,f4(x9112,a1,x9113)),f3(a6),f4(a5,a1,x9114)),f2(f4(f3(a6),f4(a1,a1,x9115),x9116)))),
% 55.05/55.18 inference(scs_inference,[],[903,354,124,2,3])).
% 55.05/55.18 cnf(914,plain,
% 55.05/55.18 (E(f4(f2(x9141),x9142,f4(x9143,x9144,x9145)),f4(f2(f4(x9141,a1,x9146)),x9142,f4(x9143,f4(x9144,a1,x9147),f4(x9145,a1,x9148))))),
% 55.05/55.18 inference(scs_inference,[],[161,163,911,2,3])).
% 55.05/55.18 cnf(925,plain,
% 55.05/55.18 (E(f4(f2(f4(x9251,a1,x9252)),x9253,f4(x9254,f4(x9255,a1,x9256),f4(x9257,a1,x9258))),f4(f2(x9251),x9253,f4(x9254,x9255,x9257)))),
% 55.05/55.18 inference(scs_inference,[],[914,2])).
% 55.05/55.18 cnf(926,plain,
% 55.05/55.18 (E(f4(x9261,x9262,x9263),f4(x9261,x9262,f4(f4(x9263,a1,x9264),f4(a1,a1,x9265),f4(x9266,a1,x9267))))),
% 55.05/55.18 inference(scs_inference,[],[163,164,914,2,3])).
% 55.05/55.18 cnf(932,plain,
% 55.05/55.18 (E(f4(x9321,x9322,f4(f4(x9323,a1,x9324),f4(a1,a1,x9325),f4(x9326,a1,x9327))),f4(x9321,x9322,x9323))),
% 55.05/55.18 inference(scs_inference,[],[926,2])).
% 55.05/55.18 cnf(940,plain,
% 55.05/55.18 (E(f4(f2(f4(x9401,a1,x9402)),f4(x9403,x9404,x9405),f4(x9406,f4(x9407,a1,x9408),f4(x9409,a1,x94010))),f4(f2(x9401),f4(f4(x9403,a1,x94011),x9404,f4(x9405,a1,x94012)),f4(x9406,x9407,x9409)))),
% 55.05/55.18 inference(scs_inference,[],[169,925,189,2,3])).
% 55.05/55.18 cnf(950,plain,
% 55.05/55.18 (E(f4(x9501,f4(x9502,x9503,x9504),f4(f4(x9505,a1,x9506),f4(a1,a1,x9507),f4(x9508,a1,x9509))),f4(x9501,f4(f4(x9502,a1,x95010),x9503,f4(x9504,a1,x95011)),x9505))),
% 55.05/55.18 inference(scs_inference,[],[169,932,687,2,3])).
% 55.05/55.18 cnf(958,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),a1,x9581),f3(a6),f4(a5,a1,x9582)),f2(f4(f4(f3(a6),a1,x9583),f4(a1,a1,x9584),x9585)))),
% 55.05/55.18 inference(scs_inference,[],[170,950,324,2,3])).
% 55.05/55.18 cnf(962,plain,
% 55.05/55.18 (E(f4(f2(f4(x9621,a1,x9622)),f4(x9623,x9624,x9625),f4(x9626,x9627,x9628)),f4(f2(x9621),f4(f4(x9623,a1,x9629),x9624,f4(x9625,a1,x96210)),f4(f4(x9626,a1,x96211),x9627,f4(x9628,a1,x96212))))),
% 55.05/55.18 inference(scs_inference,[],[169,910,958,2,3])).
% 55.05/55.18 cnf(966,plain,
% 55.05/55.18 (~E(f4(f4(f2(a6),a1,x9661),f4(f3(a6),a1,x9662),f4(a5,a1,x9663)),f2(f4(f3(a6),f4(a1,a1,x9664),x9665)))),
% 55.05/55.18 inference(scs_inference,[],[170,173,962,2,3])).
% 55.05/55.18 cnf(970,plain,
% 55.05/55.18 (~E(f4(f2(a6),f3(a6),a5),f4(f4(f4(f2(a6),a1,x9701),f4(a1,a1,x9702),x9703),f3(a6),f4(a5,a1,f4(x9704,a1,x9705))))),
% 55.05/55.18 inference(scs_inference,[],[173,906,966,2,3])).
% 55.05/55.18 cnf(974,plain,
% 55.05/55.18 (E(f4(x9741,f4(f4(x9742,a1,x9743),f4(x9744,a1,x9745),x9746),f4(x9747,x9748,f4(x9749,a1,x97410))),f4(x9741,f4(f4(x9742,x9744,x9746),a1,x97411),f4(x9747,x9748,x9749)))),
% 55.05/55.18 inference(scs_inference,[],[176,173,940,2,3])).
% 55.05/55.18 cnf(977,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),a1,x9771),f4(a1,a1,x9772),x9773),f3(a6),f4(a5,a1,f4(x9774,a1,x9775))),f4(f2(a6),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[970,2])).
% 55.05/55.18 cnf(996,plain,
% 55.05/55.18 (E(f4(f4(f4(x9961,a1,x9962),f4(x9963,a1,x9964),x9965),x9966,f4(f4(x9967,a1,x9968),f4(x9969,a1,x99610),x99611)),f4(f4(x9961,x9963,x9965),x9966,f4(x9967,x9969,x99611)))),
% 55.05/55.18 inference(scs_inference,[],[177,178,207,2,3])).
% 55.05/55.18 cnf(1003,plain,
% 55.05/55.18 (E(f4(f4(x10031,x10032,x10033),x10034,f4(x10035,x10036,x10037)),f4(f4(f4(x10031,a1,x10038),f4(x10032,a1,x10039),x10033),x10034,f4(f4(x10035,a1,x100310),f4(x10036,a1,x100311),x10037)))),
% 55.05/55.18 inference(scs_inference,[],[996,2])).
% 55.05/55.18 cnf(1019,plain,
% 55.05/55.18 (E(f4(x10191,f4(f4(x10192,a1,x10193),f4(x10194,a1,x10195),x10196),f4(x10197,x10198,x10199)),f4(x10191,f4(x10192,x10194,x10196),f4(f4(x10197,a1,x101910),x10198,x10199)))),
% 55.05/55.18 inference(scs_inference,[],[181,182,861,2,3])).
% 55.05/55.18 cnf(1026,plain,
% 55.05/55.18 (E(f4(x10261,f4(x10262,x10263,x10264),f4(f4(x10265,a1,x10266),x10267,x10268)),f4(x10261,f4(f4(x10262,a1,x10269),f4(x10263,a1,x102610),x10264),f4(x10265,x10267,x10268)))),
% 55.05/55.18 inference(scs_inference,[],[1019,2])).
% 55.05/55.18 cnf(1042,plain,
% 55.05/55.18 (E(f4(x10421,f4(x10422,x10423,x10424),f4(x10425,x10426,x10427)),f4(x10421,f4(f4(x10422,a1,x10428),f4(x10423,a1,x10429),x10424),f4(x10425,f4(x10426,a1,x104210),x10427)))),
% 55.05/55.18 inference(scs_inference,[],[188,1026,834,2,3])).
% 55.05/55.18 cnf(1049,plain,
% 55.05/55.18 (~E(f2(f4(f3(a6),a1,x10491)),f4(f4(f2(a6),f3(a6),a5),f4(a1,f4(a1,a1,x10492),x10493),f4(x10494,a1,x10495)))),
% 55.05/55.18 inference(scs_inference,[],[1042,895,817,2,3])).
% 55.05/55.18 cnf(1053,plain,
% 55.05/55.18 (E(f4(x10531,x10532,f4(x10533,x10534,f4(x10535,a1,x10536))),f4(f4(x10531,a1,x10537),x10532,f4(f4(x10533,a1,x10538),f4(x10534,a1,x10539),x10535)))),
% 55.05/55.18 inference(scs_inference,[],[189,188,1049,2,3])).
% 55.05/55.18 cnf(1057,plain,
% 55.05/55.18 (~E(f4(f4(f4(f2(a6),a1,x10571),f4(a1,a1,x10572),x10573),f3(a6),f4(f4(a5,a1,x10574),f4(a1,a1,x10575),f4(x10576,a1,x10577))),f4(f2(a6),f3(a6),a5))),
% 55.05/55.18 inference(scs_inference,[],[188,974,977,2,3])).
% 55.05/55.18 cnf(1059,plain,
% 55.05/55.18 (~E(f4(f2(a6),f3(a6),a5),f4(f4(f4(f2(a6),a1,x10591),f4(a1,a1,x10592),x10593),f3(a6),f4(f4(a5,a1,x10594),f4(a1,a1,x10595),f4(x10596,a1,x10597))))),
% 55.05/55.18 inference(scs_inference,[],[1057,2])).
% 55.05/55.18 cnf(1071,plain,
% 55.05/55.18 ($false),
% 55.05/55.18 inference(scs_inference,[],[1003,1053,454,1059,2,3]),
% 55.05/55.18 ['proof']).
% 55.05/55.18 % SZS output end Proof
% 55.05/55.18 % Total time :54.520000s
%------------------------------------------------------------------------------