TSTP Solution File: COL001-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COL001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:21:12 EDT 2023
% Result : Unsatisfiable 213.91s 213.87s
% Output : CNFRefutation 213.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 05:38:49 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 213.91/213.85 %-------------------------------------------
% 213.91/213.85 % File :CSE---1.6
% 213.91/213.85 % Problem :theBenchmark
% 213.91/213.85 % Transform :cnf
% 213.91/213.85 % Format :tptp:raw
% 213.91/213.85 % Command :java -jar mcs_scs.jar %d %s
% 213.91/213.85
% 213.91/213.85 % Result :Theorem 213.270000s
% 213.91/213.85 % Output :CNFRefutation 213.270000s
% 213.91/213.85 %-------------------------------------------
% 213.91/213.86 %--------------------------------------------------------------------------
% 213.91/213.86 % File : COL001-1 : TPTP v8.1.2. Released v1.0.0.
% 213.91/213.86 % Domain : Combinatory Logic
% 213.91/213.86 % Problem : Weak fixed point for S and K
% 213.91/213.86 % Version : [WM88] (equality) axioms.
% 213.91/213.86 % English : The weak fixed point property holds for the set P consisting
% 213.91/213.86 % of the combinators S and K alone, where ((Sx)y)z = (xz)(yz)
% 213.91/213.86 % and (Kx)y = x.
% 213.91/213.86
% 213.91/213.86 % Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi
% 213.91/213.86 % : [WM88] Wos & McCune (1988), Challenge Problems Focusing on Eq
% 213.91/213.86 % Source : [WM88]
% 213.91/213.86 % Names : C1 [WM88]
% 213.91/213.86 % : Problem 1 [WM88]
% 213.91/213.86
% 213.91/213.86 % Status : Unsatisfiable
% 213.91/213.86 % Rating : 0.29 v8.1.0, 0.30 v7.5.0, 0.29 v7.4.0, 0.35 v7.3.0, 0.32 v7.1.0, 0.22 v7.0.0, 0.21 v6.4.0, 0.26 v6.3.0, 0.24 v6.2.0, 0.21 v6.1.0, 0.12 v6.0.0, 0.29 v5.5.0, 0.21 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.14 v5.1.0, 0.20 v5.0.0, 0.21 v4.1.0, 0.18 v4.0.1, 0.21 v4.0.0, 0.23 v3.7.0, 0.11 v3.4.0, 0.12 v3.3.0, 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.1.0, 0.13 v2.0.0
% 213.91/213.86 % Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 1 RR)
% 213.91/213.86 % Number of literals : 3 ( 3 equ; 1 neg)
% 213.91/213.86 % Maximal clause size : 1 ( 1 avg)
% 213.91/213.86 % Maximal term depth : 4 ( 2 avg)
% 213.91/213.87 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 213.91/213.87 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 213.91/213.87 % Number of variables : 6 ( 1 sgn)
% 213.91/213.87 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 213.91/213.87
% 213.91/213.87 % Comments :
% 213.91/213.87 %--------------------------------------------------------------------------
% 213.91/213.87 cnf(s_definition,axiom,
% 213.91/213.87 apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)) ).
% 213.91/213.87
% 213.91/213.87 cnf(k_definition,axiom,
% 213.91/213.87 apply(apply(k,X),Y) = X ).
% 213.91/213.87
% 213.91/213.87 cnf(prove_fixed_point,negated_conjecture,
% 213.91/213.87 Y != apply(combinator,Y) ).
% 213.91/213.87
% 213.91/213.87 %--------------------------------------------------------------------------
% 213.91/213.87 %-------------------------------------------
% 213.91/213.87 % Proof found
% 213.91/213.87 % SZS status Theorem for theBenchmark
% 213.91/213.87 % SZS output start Proof
% 213.91/213.87 %ClaNum:8(EqnAxiom:5)
% 213.91/213.87 %VarNum:12(SingletonVarNum:6)
% 213.91/213.87 %MaxLitNum:1
% 213.91/213.87 %MaxfuncDepth:3
% 213.91/213.87 %SharedTerms:3
% 213.91/213.87 %goalClause: 8
% 213.91/213.87 %singleGoalClaCount:1
% 213.91/213.87 [8]~E(f2(a3,x81),x81)
% 213.91/213.87 [6]E(f2(f2(a1,x61),x62),x61)
% 213.91/213.87 [7]E(f2(f2(f2(a4,x71),x72),x73),f2(f2(x71,x73),f2(x72,x73)))
% 213.91/213.87 %EqnAxiom
% 213.91/213.87 [1]E(x11,x11)
% 213.91/213.87 [2]E(x22,x21)+~E(x21,x22)
% 213.91/213.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 213.91/213.87 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 213.91/213.87 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 213.91/213.87
% 213.91/213.87 %-------------------------------------------
% 213.91/213.88 cnf(9,plain,
% 213.91/213.88 (E(x91,f2(f2(a1,x91),x92))),
% 213.91/213.88 inference(scs_inference,[],[6,2])).
% 213.91/213.88 cnf(10,plain,
% 213.91/213.88 (~E(f2(a3,x101),f2(f2(a1,x101),x102))),
% 213.91/213.88 inference(scs_inference,[],[8,6,2,3])).
% 213.91/213.88 cnf(11,plain,
% 213.91/213.88 (E(f2(f2(a1,x111),x112),x111)),
% 213.91/213.88 inference(rename_variables,[],[6])).
% 213.91/213.88 cnf(12,plain,
% 213.91/213.88 (E(f2(x121,f2(f2(a1,x122),x123)),f2(x121,x122))),
% 213.91/213.88 inference(scs_inference,[],[8,6,11,2,3,5])).
% 213.91/213.88 cnf(13,plain,
% 213.91/213.88 (E(f2(f2(f2(a1,x131),x132),x133),f2(x131,x133))),
% 213.91/213.88 inference(scs_inference,[],[8,6,11,2,3,5,4])).
% 213.91/213.88 cnf(14,plain,
% 213.91/213.88 (~E(x141,f2(a3,x141))),
% 213.91/213.88 inference(scs_inference,[],[8,2])).
% 213.91/213.88 cnf(15,plain,
% 213.91/213.88 (~E(a3,f2(a1,x151))),
% 213.91/213.88 inference(scs_inference,[],[8,10,2,4])).
% 213.91/213.88 cnf(17,plain,
% 213.91/213.88 (~E(f2(f2(a1,a3),x171),f2(a1,x172))),
% 213.91/213.88 inference(scs_inference,[],[8,9,10,2,4,3])).
% 213.91/213.88 cnf(19,plain,
% 213.91/213.88 (E(f2(f2(x191,x192),f2(x193,x192)),f2(f2(f2(a4,x191),x193),x192))),
% 213.91/213.88 inference(scs_inference,[],[7,2])).
% 213.91/213.88 cnf(20,plain,
% 213.91/213.88 (E(f2(x201,x202),f2(f2(f2(a1,x201),x203),x202))),
% 213.91/213.88 inference(scs_inference,[],[7,9,2,4])).
% 213.91/213.88 cnf(21,plain,
% 213.91/213.88 (E(f2(f2(f2(a4,a1),x211),x212),x212)),
% 213.91/213.88 inference(scs_inference,[],[6,7,9,2,4,3])).
% 213.91/213.88 cnf(24,plain,
% 213.91/213.88 (~E(f2(a1,x241),f2(f2(a1,a3),x242))),
% 213.91/213.88 inference(scs_inference,[],[17,2])).
% 213.91/213.88 cnf(27,plain,
% 213.91/213.88 (~E(x271,f2(f2(a1,f2(a3,x271)),x272))),
% 213.91/213.88 inference(scs_inference,[],[6,14,17,2,4,3])).
% 213.91/213.88 cnf(29,plain,
% 213.91/213.88 (~E(f2(f2(a1,f2(a3,x291)),x292),f2(f2(a1,x291),x293))),
% 213.91/213.88 inference(scs_inference,[],[10,9,3])).
% 213.91/213.88 cnf(31,plain,
% 213.91/213.88 (E(f2(x311,x312),f2(x311,f2(f2(a1,x312),x313)))),
% 213.91/213.88 inference(scs_inference,[],[10,9,12,3,2])).
% 213.91/213.88 cnf(32,plain,
% 213.91/213.88 (~E(x321,f2(a1,f2(a3,f2(x321,x322))))),
% 213.91/213.88 inference(scs_inference,[],[10,9,12,27,3,2,4])).
% 213.91/213.88 cnf(34,plain,
% 213.91/213.88 (~E(x341,f2(a3,f2(f2(a1,x341),x342)))),
% 213.91/213.88 inference(scs_inference,[],[10,9,12,27,3,2,4,5])).
% 213.91/213.88 cnf(35,plain,
% 213.91/213.88 (E(x351,f2(f2(f2(a4,a1),x352),x351))),
% 213.91/213.88 inference(scs_inference,[],[9,19,3])).
% 213.91/213.88 cnf(38,plain,
% 213.91/213.88 (~E(f2(f2(a1,x381),x382),f2(a3,x381))),
% 213.91/213.88 inference(scs_inference,[],[10,9,19,3,2])).
% 213.91/213.88 cnf(39,plain,
% 213.91/213.88 (~E(f2(a3,x391),f2(f2(f2(a4,a1),x392),f2(f2(a1,x391),x393)))),
% 213.91/213.88 inference(scs_inference,[],[10,21,3])).
% 213.91/213.88 cnf(41,plain,
% 213.91/213.88 (~E(f2(f2(a1,x411),x412),f2(f2(a1,f2(a3,x411)),x413))),
% 213.91/213.88 inference(scs_inference,[],[10,21,29,3,2])).
% 213.91/213.88 cnf(42,plain,
% 213.91/213.88 (~E(f2(f2(a1,x421),x422),f2(a3,f2(f2(a1,x421),x423)))),
% 213.91/213.88 inference(scs_inference,[],[9,34,3])).
% 213.91/213.88 cnf(44,plain,
% 213.91/213.88 (E(f2(f2(f2(a1,x441),x442),f2(f2(a1,x443),x444)),f2(x441,x443))),
% 213.91/213.88 inference(scs_inference,[],[13,12,3])).
% 213.91/213.88 cnf(46,plain,
% 213.91/213.88 (~E(f2(a1,x461),f2(a1,f2(a3,x461)))),
% 213.91/213.88 inference(scs_inference,[],[13,12,41,3,4])).
% 213.91/213.88 cnf(48,plain,
% 213.91/213.88 (E(f2(x481,x482),f2(f2(f2(a1,x481),x483),f2(f2(a1,x482),x484)))),
% 213.91/213.88 inference(scs_inference,[],[13,12,41,3,4,2])).
% 213.91/213.88 cnf(50,plain,
% 213.91/213.88 (~E(f2(a3,x501),f2(f2(f2(a4,a1),x502),x501))),
% 213.91/213.88 inference(scs_inference,[],[10,39,7,2,3])).
% 213.91/213.88 cnf(56,plain,
% 213.91/213.88 (E(f2(f2(a1,x561),x562),f2(f2(f2(a4,a1),x563),x561))),
% 213.91/213.88 inference(scs_inference,[],[12,35,3])).
% 213.91/213.88 cnf(59,plain,
% 213.91/213.88 (E(f2(f2(f2(a4,a1),x591),x592),f2(f2(a1,x592),x593))),
% 213.91/213.88 inference(scs_inference,[],[12,35,3,2])).
% 213.91/213.88 cnf(64,plain,
% 213.91/213.88 (~E(f2(f2(f2(a4,a1),x641),a3),f2(a1,x642))),
% 213.91/213.88 inference(scs_inference,[],[15,35,3])).
% 213.91/213.88 cnf(66,plain,
% 213.91/213.88 (~E(f2(a1,f2(a3,f2(x661,x662))),x661)),
% 213.91/213.88 inference(scs_inference,[],[15,32,35,3,2])).
% 213.91/213.88 cnf(67,plain,
% 213.91/213.88 (E(f2(f2(f2(a4,a1),x671),f2(x672,x673)),f2(f2(f2(a1,x672),x674),x673))),
% 213.91/213.88 inference(scs_inference,[],[20,21,3])).
% 213.91/213.88 cnf(71,plain,
% 213.91/213.88 (E(f2(f2(f2(a1,x711),x712),x713),f2(f2(f2(a4,a1),x714),f2(x711,x713)))),
% 213.91/213.88 inference(scs_inference,[],[67,2])).
% 213.91/213.88 cnf(72,plain,
% 213.91/213.88 (~E(x721,f2(f2(f2(a1,a3),x722),f2(f2(a1,x721),x723)))),
% 213.91/213.88 inference(scs_inference,[],[14,67,44,2,3])).
% 213.91/213.88 cnf(75,plain,
% 213.91/213.88 (~E(f2(f2(f2(a4,a1),x751),f2(f2(a1,a3),x752)),f2(a1,x753))),
% 213.91/213.88 inference(scs_inference,[],[31,72,64,2,3])).
% 213.91/213.88 cnf(77,plain,
% 213.91/213.88 (~E(a3,f2(f2(a4,a1),x771))),
% 213.91/213.88 inference(scs_inference,[],[31,72,50,64,2,3,4])).
% 213.91/213.88 cnf(78,plain,
% 213.91/213.88 (E(f2(x781,x782),f2(f2(f2(a4,f2(a1,x781)),f2(a1,x782)),x783))),
% 213.91/213.88 inference(scs_inference,[],[19,48,3])).
% 213.91/213.88 cnf(81,plain,
% 213.91/213.88 (E(f2(f2(f2(a4,f2(a1,x811)),f2(a1,x812)),x813),f2(x811,x812))),
% 213.91/213.88 inference(scs_inference,[],[78,2])).
% 213.91/213.88 cnf(82,plain,
% 213.91/213.88 (~E(f2(f2(a1,a3),x821),f2(f2(f2(a1,a1),x822),f2(f2(a1,x823),x824)))),
% 213.91/213.88 inference(scs_inference,[],[17,78,44,2,3])).
% 213.91/213.88 cnf(87,plain,
% 213.91/213.88 (~E(f2(f2(f2(a1,a1),x871),x872),f2(f2(a1,a3),x873))),
% 213.91/213.88 inference(scs_inference,[],[20,82,24,2,3])).
% 213.91/213.88 cnf(90,plain,
% 213.91/213.88 (E(f2(f2(x901,x902),x903),f2(f2(f2(a4,x901),f2(a1,x903)),x902))),
% 213.91/213.88 inference(scs_inference,[],[19,31,3])).
% 213.91/213.88 cnf(93,plain,
% 213.91/213.88 (~E(f2(f2(a1,a1),x931),f2(a1,a3))),
% 213.91/213.88 inference(scs_inference,[],[19,87,31,3,4])).
% 213.91/213.88 cnf(95,plain,
% 213.91/213.88 (E(f2(f2(f2(a4,x951),f2(a1,x952)),x953),f2(f2(x951,x953),x952))),
% 213.91/213.88 inference(scs_inference,[],[90,2])).
% 213.91/213.88 cnf(99,plain,
% 213.91/213.88 (~E(f2(f2(f2(a1,a1),x991),x992),f2(a1,f2(a3,x992)))),
% 213.91/213.88 inference(scs_inference,[],[20,93,46,2,3])).
% 213.91/213.88 cnf(105,plain,
% 213.91/213.88 (~E(a1,f2(a1,a3))),
% 213.91/213.88 inference(scs_inference,[],[21,24,95,3,4])).
% 213.91/213.88 cnf(107,plain,
% 213.91/213.88 (E(x1071,f2(f2(f2(a4,f2(a4,a1)),f2(a1,x1071)),x1072))),
% 213.91/213.88 inference(scs_inference,[],[21,24,95,3,4,2])).
% 213.91/213.88 cnf(108,plain,
% 213.91/213.88 (~E(f2(a1,x1081),f2(f2(f2(a4,a1),x1082),f2(f2(a1,a3),x1083)))),
% 213.91/213.88 inference(scs_inference,[],[75,2])).
% 213.91/213.88 cnf(111,plain,
% 213.91/213.88 (~E(f2(f2(f2(a4,a1),x1111),f2(a1,x1112)),f2(a1,f2(a3,x1112)))),
% 213.91/213.89 inference(scs_inference,[],[71,99,3])).
% 213.91/213.89 cnf(114,plain,
% 213.91/213.89 (E(f2(f2(a1,x1141),x1142),f2(f2(f2(a4,f2(a4,a1)),f2(a1,x1141)),x1143))),
% 213.91/213.89 inference(scs_inference,[],[107,6,3])).
% 213.91/213.89 cnf(116,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,f2(a4,a1)),f2(a1,x1161)),x1162),f2(f2(a1,x1161),x1163))),
% 213.91/213.89 inference(scs_inference,[],[107,6,3,2])).
% 213.91/213.89 cnf(122,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a1),x1221),f2(a3,x1222)),f2(f2(a1,x1222),x1223))),
% 213.91/213.89 inference(scs_inference,[],[29,56,3])).
% 213.91/213.89 cnf(125,plain,
% 213.91/213.89 (E(f2(f2(x1251,x1252),x1253),f2(f2(f2(a4,x1251),f2(a1,x1253)),f2(f2(a1,x1252),x1254)))),
% 213.91/213.89 inference(scs_inference,[],[31,90,3])).
% 213.91/213.89 cnf(129,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,x1291),f2(a1,x1292)),f2(f2(a1,x1293),x1294)),f2(f2(x1291,x1293),x1292))),
% 213.91/213.89 inference(scs_inference,[],[125,2])).
% 213.91/213.89 cnf(130,plain,
% 213.91/213.89 (~E(x1301,f2(f2(f2(a4,a1),x1302),f2(a3,x1301)))),
% 213.91/213.89 inference(scs_inference,[],[27,125,59,2,3])).
% 213.91/213.89 cnf(137,plain,
% 213.91/213.89 (E(f2(f2(a1,x1371),x1372),f2(f2(f2(a4,a1),x1373),f2(f2(a1,x1371),x1374)))),
% 213.91/213.89 inference(scs_inference,[],[31,56,3])).
% 213.91/213.89 cnf(140,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,a1),x1401),f2(f2(a1,x1402),x1403)),f2(f2(a1,x1402),x1404))),
% 213.91/213.89 inference(scs_inference,[],[137,2])).
% 213.91/213.89 cnf(148,plain,
% 213.91/213.89 (~E(f2(f2(a4,a1),x1481),f2(a1,x1482))),
% 213.91/213.89 inference(scs_inference,[],[35,129,122,3,4])).
% 213.91/213.89 cnf(155,plain,
% 213.91/213.89 (E(f2(x1551,f2(f2(a1,x1552),x1553)),f2(f2(f2(a4,a1),x1554),f2(x1551,x1552)))),
% 213.91/213.89 inference(scs_inference,[],[35,12,3])).
% 213.91/213.89 cnf(157,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,a1),x1571),f2(x1572,x1573)),f2(x1572,f2(f2(a1,x1573),x1574)))),
% 213.91/213.89 inference(scs_inference,[],[155,2])).
% 213.91/213.89 cnf(158,plain,
% 213.91/213.89 (~E(f2(f2(a1,x1581),x1582),f2(f2(f2(a4,f2(a1,a3)),f2(a1,x1581)),x1583))),
% 213.91/213.89 inference(scs_inference,[],[38,155,81,2,3])).
% 213.91/213.89 cnf(165,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,a1),x1651),f2(x1652,x1653)),f2(f2(f2(a4,a1),x1654),f2(x1652,x1653)))),
% 213.91/213.89 inference(scs_inference,[],[157,155,3])).
% 213.91/213.89 cnf(169,plain,
% 213.91/213.89 (~E(f2(f2(a1,x1691),x1692),f2(f2(f2(a4,a1),x1693),f2(a3,x1691)))),
% 213.91/213.89 inference(scs_inference,[],[42,157,3])).
% 213.91/213.89 cnf(172,plain,
% 213.91/213.89 (~E(f2(a1,x1721),f2(f2(a4,f2(a1,a3)),f2(a1,x1721)))),
% 213.91/213.89 inference(scs_inference,[],[42,158,157,3,4])).
% 213.91/213.89 cnf(177,plain,
% 213.91/213.89 (E(x1771,f2(f2(f2(a4,a1),x1772),f2(f2(a1,x1771),x1773)))),
% 213.91/213.89 inference(scs_inference,[],[140,6,3,2])).
% 213.91/213.89 cnf(181,plain,
% 213.91/213.89 (~E(f2(a1,x1811),f2(f2(a4,a1),x1812))),
% 213.91/213.89 inference(scs_inference,[],[177,169,105,3,4])).
% 213.91/213.89 cnf(184,plain,
% 213.91/213.89 (~E(a1,f2(a4,a1))),
% 213.91/213.89 inference(scs_inference,[],[181,4])).
% 213.91/213.89 cnf(190,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a1),x1901),f2(f2(a1,a1),x1902)),f2(a4,a1))),
% 213.91/213.89 inference(scs_inference,[],[184,177,3])).
% 213.91/213.89 cnf(194,plain,
% 213.91/213.89 (~E(f2(a4,a1),f2(f2(f2(a4,a1),x1941),f2(f2(a1,a1),x1942)))),
% 213.91/213.89 inference(scs_inference,[],[190,2])).
% 213.91/213.89 cnf(201,plain,
% 213.91/213.89 (~E(a1,f2(f2(a4,a1),x2011))),
% 213.91/213.89 inference(scs_inference,[],[59,108,111,3,4])).
% 213.91/213.89 cnf(208,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a4,a1)),f2(a1,a1)),x2081),f2(f2(a4,a1),x2082))),
% 213.91/213.89 inference(scs_inference,[],[201,107,3])).
% 213.91/213.89 cnf(211,plain,
% 213.91/213.89 (~E(f2(f2(a4,a1),x2111),a1)),
% 213.91/213.89 inference(scs_inference,[],[64,4])).
% 213.91/213.89 cnf(215,plain,
% 213.91/213.89 (~E(f2(f2(a1,a1),x2151),f2(f2(a4,a1),x2152))),
% 213.91/213.89 inference(scs_inference,[],[208,116,3])).
% 213.91/213.89 cnf(219,plain,
% 213.91/213.89 (~E(f2(a1,a1),f2(a4,a1))),
% 213.91/213.89 inference(scs_inference,[],[215,4])).
% 213.91/213.89 cnf(221,plain,
% 213.91/213.89 (~E(f2(a4,a1),f2(a1,a1))),
% 213.91/213.89 inference(scs_inference,[],[219,2])).
% 213.91/213.89 cnf(222,plain,
% 213.91/213.89 (~E(f2(a1,f2(a3,f2(x2221,x2222))),f2(f2(a1,x2221),x2223))),
% 213.91/213.89 inference(scs_inference,[],[66,219,6,2,3])).
% 213.91/213.89 cnf(224,plain,
% 213.91/213.89 (~E(f2(f2(f2(a1,a4),x2241),f2(f2(a1,a1),x2242)),f2(a1,a1))),
% 213.91/213.89 inference(scs_inference,[],[221,48,3])).
% 213.91/213.89 cnf(226,plain,
% 213.91/213.89 (~E(a1,f2(a1,x2261))),
% 213.91/213.89 inference(scs_inference,[],[222,4])).
% 213.91/213.89 cnf(228,plain,
% 213.91/213.89 (~E(f2(a1,a1),f2(f2(f2(a1,a4),x2281),f2(f2(a1,a1),x2282)))),
% 213.91/213.89 inference(scs_inference,[],[224,2])).
% 213.91/213.89 cnf(236,plain,
% 213.91/213.89 (~E(f2(a4,a1),f2(f2(a1,a1),x2361))),
% 213.91/213.89 inference(scs_inference,[],[194,172,125,2,3])).
% 213.91/213.89 cnf(239,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a1),x2391),f2(f2(a1,a3),x2392)),f2(f2(a4,a1),x2393))),
% 213.91/213.89 inference(scs_inference,[],[77,177,3])).
% 213.91/213.89 cnf(241,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,f2(a4,f2(a1,x2411))),f2(a1,x2412)),f2(a1,x2413)),f2(x2411,x2413))),
% 213.91/213.89 inference(scs_inference,[],[81,95,3])).
% 213.91/213.89 cnf(243,plain,
% 213.91/213.89 (~E(a4,f2(a1,a1))),
% 213.91/213.89 inference(scs_inference,[],[81,236,95,3,4])).
% 213.91/213.89 cnf(245,plain,
% 213.91/213.89 (E(f2(x2451,x2452),f2(f2(f2(a4,f2(a4,f2(a1,x2451))),f2(a1,x2453)),f2(a1,x2452)))),
% 213.91/213.89 inference(scs_inference,[],[241,2])).
% 213.91/213.89 cnf(248,plain,
% 213.91/213.89 (~E(f2(f2(a4,a1),x2481),f2(f2(f2(a4,a1),x2482),f2(f2(a1,a3),x2483)))),
% 213.91/213.89 inference(scs_inference,[],[239,2])).
% 213.91/213.89 cnf(249,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a4,a1)),f2(a1,a4)),x2491),f2(a1,a1))),
% 213.91/213.89 inference(scs_inference,[],[239,243,107,2,3])).
% 213.91/213.89 cnf(252,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a4,a1)),f2(a1,a4)),x2521),f2(a1,a1))),
% 213.91/213.89 inference(rename_variables,[],[249])).
% 213.91/213.89 cnf(253,plain,
% 213.91/213.89 (~E(f2(a1,a1),f2(f2(f2(a4,f2(a4,a1)),f2(a1,a4)),x2531))),
% 213.91/213.89 inference(scs_inference,[],[249,252,4,2])).
% 213.91/213.89 cnf(254,plain,
% 213.91/213.89 (~E(f2(f2(a1,a3),x2541),f2(f2(f2(a4,f2(a1,a1)),f2(a1,x2542)),x2543))),
% 213.91/213.89 inference(scs_inference,[],[82,7,3])).
% 213.91/213.89 cnf(259,plain,
% 213.91/213.89 (E(f2(f2(x2591,x2592),f2(x2593,x2592)),f2(f2(f2(a4,f2(a4,x2591)),f2(a1,x2592)),x2593))),
% 213.91/213.89 inference(scs_inference,[],[90,19,3])).
% 213.91/213.89 cnf(264,plain,
% 213.91/213.89 (~E(f2(f2(a1,a3),x2641),f2(f2(f2(a1,a1),x2642),x2643))),
% 213.91/213.89 inference(scs_inference,[],[87,90,253,19,3,4,2])).
% 213.91/213.89 cnf(265,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,f2(a4,x2651)),f2(a1,x2652)),x2653),f2(f2(x2651,x2652),f2(x2653,x2652)))),
% 213.91/213.89 inference(scs_inference,[],[259,2])).
% 213.91/213.89 cnf(266,plain,
% 213.91/213.89 (~E(f2(f2(a4,a1),x2661),f2(f2(a1,a3),x2662))),
% 213.91/213.89 inference(scs_inference,[],[248,259,137,2,3])).
% 213.91/213.89 cnf(268,plain,
% 213.91/213.89 (~E(f2(f2(a1,a3),x2681),f2(f2(a4,a1),x2682))),
% 213.91/213.89 inference(scs_inference,[],[266,2])).
% 213.91/213.89 cnf(269,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a4),f2(a1,x2691)),a1),f2(f2(a1,a3),x2692))),
% 213.91/213.89 inference(scs_inference,[],[90,266,2,3])).
% 213.91/213.89 cnf(272,plain,
% 213.91/213.89 (E(x2721,f2(f2(f2(a4,f2(a4,f2(a4,a1))),f2(a1,x2722)),f2(a1,x2721)))),
% 213.91/213.89 inference(scs_inference,[],[90,107,3])).
% 213.91/213.89 cnf(275,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,f2(a4,f2(a4,a1))),f2(a1,x2751)),f2(a1,x2752)),x2752)),
% 213.91/213.89 inference(scs_inference,[],[272,2])).
% 213.91/213.89 cnf(278,plain,
% 213.91/213.89 (~E(f2(a1,a3),f2(a4,a1))),
% 213.91/213.89 inference(scs_inference,[],[268,264,272,67,2,3,4])).
% 213.91/213.89 cnf(280,plain,
% 213.91/213.89 (~E(f2(a4,a1),f2(a1,a3))),
% 213.91/213.89 inference(scs_inference,[],[278,2])).
% 213.91/213.89 cnf(283,plain,
% 213.91/213.89 (~E(f2(a1,a3),f2(f2(a4,f2(a1,a1)),f2(a1,x2831)))),
% 213.91/213.89 inference(scs_inference,[],[254,4])).
% 213.91/213.89 cnf(289,plain,
% 213.91/213.89 (~E(f2(f2(a4,a4),f2(a1,x2891)),f2(a1,a3))),
% 213.91/213.89 inference(scs_inference,[],[269,4])).
% 213.91/213.89 cnf(296,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a4,a4)),f2(a1,a4)),a1),f2(a1,a3))),
% 213.91/213.89 inference(scs_inference,[],[289,259,3])).
% 213.91/213.89 cnf(304,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a4,f2(a4,a1))),f2(a1,x3041)),f2(a1,a1)),f2(a1,x3042))),
% 213.91/213.89 inference(scs_inference,[],[226,272,3])).
% 213.91/213.89 cnf(308,plain,
% 213.91/213.89 (~E(f2(f2(a4,f2(a1,a1)),f2(a1,x3081)),f2(a1,a3))),
% 213.91/213.89 inference(scs_inference,[],[283,304,4,2])).
% 213.91/213.89 cnf(316,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,f2(a4,x3161)),f2(a1,x3162)),f2(a1,x3163)),f2(f2(x3161,x3162),x3163))),
% 213.91/213.89 inference(scs_inference,[],[129,7,3])).
% 213.91/213.89 cnf(329,plain,
% 213.91/213.89 (~E(x3291,f2(f2(f2(a1,a3),x3292),x3291))),
% 213.91/213.89 inference(scs_inference,[],[130,296,71,2,3])).
% 213.91/213.89 cnf(333,plain,
% 213.91/213.89 (~E(f2(f2(f2(a1,a3),x3331),x3332),x3332)),
% 213.91/213.89 inference(scs_inference,[],[329,2])).
% 213.91/213.89 cnf(340,plain,
% 213.91/213.89 (~E(f2(f2(f2(a1,a4),x3401),f2(f2(a1,a1),x3402)),f2(a1,a3))),
% 213.91/213.89 inference(scs_inference,[],[280,48,3])).
% 213.91/213.89 cnf(342,plain,
% 213.91/213.89 (~E(f2(a1,a3),f2(f2(f2(a1,a4),x3421),f2(f2(a1,a1),x3422)))),
% 213.91/213.89 inference(scs_inference,[],[340,2])).
% 213.91/213.89 cnf(344,plain,
% 213.91/213.89 (~E(f2(f2(a4,a1),x3441),f2(f2(f2(a4,a1),x3442),f2(a1,x3443)))),
% 213.91/213.89 inference(scs_inference,[],[148,157,3])).
% 213.91/213.89 cnf(347,plain,
% 213.91/213.89 (~E(f2(a4,a1),f2(f2(a4,a1),x3471))),
% 213.91/213.89 inference(scs_inference,[],[148,157,3,4])).
% 213.91/213.89 cnf(348,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),x3481),f2(f2(a4,a1),x3482))),
% 213.91/213.89 inference(scs_inference,[],[347,78,3])).
% 213.91/213.89 cnf(350,plain,
% 213.91/213.89 (~E(f2(f2(a4,a1),x3501),f2(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),x3502))),
% 213.91/213.89 inference(scs_inference,[],[348,2])).
% 213.91/213.89 cnf(351,plain,
% 213.91/213.89 (~E(f2(a4,a1),f2(f2(a4,f2(a1,a4)),f2(a1,a1)))),
% 213.91/213.89 inference(scs_inference,[],[350,4])).
% 213.91/213.89 cnf(363,plain,
% 213.91/213.89 (~E(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),f2(a4,a1))),
% 213.91/213.89 inference(scs_inference,[],[351,2])).
% 213.91/213.89 cnf(370,plain,
% 213.91/213.89 (~E(f2(f2(a4,a1),x3701),f2(a4,a1))),
% 213.91/213.89 inference(scs_inference,[],[344,2,4])).
% 213.91/213.89 cnf(379,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a4,a4)),f2(a1,a1)),x3791),f2(a4,a1))),
% 213.91/213.89 inference(scs_inference,[],[370,259,3])).
% 213.91/213.89 cnf(388,plain,
% 213.91/213.89 (~E(f2(a4,a1),f2(f2(f2(a4,f2(a4,a4)),f2(a1,a1)),x3881))),
% 213.91/213.89 inference(scs_inference,[],[184,379,272,3,2])).
% 213.91/213.89 cnf(409,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a1),x4091),f2(f2(a4,a1),x4092)),a1)),
% 213.91/213.89 inference(scs_inference,[],[211,155,3])).
% 213.91/213.89 cnf(431,plain,
% 213.91/213.89 (~E(f2(a4,a1),f2(f2(f2(a4,a4),x4311),a1))),
% 213.91/213.89 inference(scs_inference,[],[388,125,3])).
% 213.91/213.89 cnf(451,plain,
% 213.91/213.89 (~E(a4,f2(f2(a4,a4),x4511))),
% 213.91/213.89 inference(scs_inference,[],[243,431,272,3,4])).
% 213.91/213.89 cnf(453,plain,
% 213.91/213.89 (~E(f2(a1,a3),f2(a4,f2(f2(a1,a1),x4531)))),
% 213.91/213.89 inference(scs_inference,[],[342,20,3])).
% 213.91/213.89 cnf(470,plain,
% 213.91/213.89 (E(f2(f2(f2(a4,x4701),x4702),f2(f2(a1,x4703),x4702)),f2(f2(x4701,x4703),f2(x4702,x4703)))),
% 213.91/213.89 inference(scs_inference,[],[265,19,3])).
% 213.91/213.89 cnf(472,plain,
% 213.91/213.89 (E(f2(f2(x4721,x4722),f2(x4723,x4722)),f2(f2(f2(a4,x4721),x4723),f2(f2(a1,x4722),x4723)))),
% 213.91/213.89 inference(scs_inference,[],[265,19,3,2])).
% 213.91/213.89 cnf(520,plain,
% 213.91/213.89 (~E(f2(a1,a1),f2(a4,f2(f2(a1,a1),x5201)))),
% 213.91/213.89 inference(scs_inference,[],[228,20,3])).
% 213.91/213.89 cnf(522,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a4,a1)),f2(a1,a4)),x5221),f2(f2(a4,a4),x5222))),
% 213.91/213.89 inference(scs_inference,[],[451,107,3])).
% 213.91/213.89 cnf(525,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a4,a1)),f2(a1,a4)),x5251),f2(f2(a4,a4),x5252))),
% 213.91/213.89 inference(rename_variables,[],[522])).
% 213.91/213.89 cnf(526,plain,
% 213.91/213.89 (~E(f2(f2(a4,a4),x5261),f2(f2(f2(a4,f2(a4,a1)),f2(a1,a4)),x5262))),
% 213.91/213.89 inference(scs_inference,[],[522,525,4,2])).
% 213.91/213.89 cnf(527,plain,
% 213.91/213.89 (~E(f2(f2(a4,a4),x5271),f2(f2(a1,a4),x5272))),
% 213.91/213.89 inference(scs_inference,[],[526,114,3])).
% 213.91/213.89 cnf(584,plain,
% 213.91/213.89 (~E(f2(a4,a1),f2(f2(a1,a4),x5841))),
% 213.91/213.89 inference(scs_inference,[],[350,472,3,4])).
% 213.91/213.89 cnf(588,plain,
% 213.91/213.89 (~E(f2(f2(a1,a4),x5881),f2(a4,a1))),
% 213.91/213.89 inference(scs_inference,[],[348,584,470,3,2])).
% 213.91/213.89 cnf(589,plain,
% 213.91/213.89 (~E(f2(a1,a4),a4)),
% 213.91/213.89 inference(scs_inference,[],[588,4])).
% 213.91/213.89 cnf(599,plain,
% 213.91/213.89 (~E(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),f2(f2(f2(a1,a4),x5991),a1))),
% 213.91/213.89 inference(scs_inference,[],[363,13,3])).
% 213.91/213.89 cnf(604,plain,
% 213.91/213.89 (~E(a4,f2(a1,a4))),
% 213.91/213.89 inference(scs_inference,[],[584,4])).
% 213.91/213.89 cnf(639,plain,
% 213.91/213.89 (~E(f2(f2(f2(a1,a1),x6391),f2(f2(a1,a4),x6392)),a4)),
% 213.91/213.89 inference(scs_inference,[],[589,48,3])).
% 213.91/213.89 cnf(648,plain,
% 213.91/213.89 (~E(a1,f2(f2(f2(a4,a1),x6481),f2(f2(a4,a1),x6482)))),
% 213.91/213.89 inference(scs_inference,[],[409,2])).
% 213.91/213.89 cnf(687,plain,
% 213.91/213.89 (~E(f2(f2(a4,a4),x6871),a4)),
% 213.91/213.89 inference(scs_inference,[],[451,2])).
% 213.91/213.89 cnf(688,plain,
% 213.91/213.89 (~E(a4,f2(f2(f2(a4,a1),x6881),f2(f2(a4,a4),x6882)))),
% 213.91/213.89 inference(scs_inference,[],[451,157,3])).
% 213.91/213.89 cnf(694,plain,
% 213.91/213.89 (~E(f2(a1,a3),f2(f2(f2(a4,a1),x6941),f2(a4,a1)))),
% 213.91/213.89 inference(scs_inference,[],[453,157,3])).
% 213.91/213.89 cnf(706,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a1),x7061),f2(a4,a1)),f2(a1,a3))),
% 213.91/213.89 inference(scs_inference,[],[694,2])).
% 213.91/213.89 cnf(753,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a4),x7531),f2(f2(a1,a4),x7531)),a4)),
% 213.91/213.89 inference(scs_inference,[],[687,472,3])).
% 213.91/213.89 cnf(759,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a4),a1),f2(a1,a1)),f2(a1,a3))),
% 213.91/213.89 inference(scs_inference,[],[308,19,3])).
% 213.91/213.89 cnf(763,plain,
% 213.91/213.89 (~E(f2(a1,a1),f2(f2(f2(a4,a1),x7631),f2(a4,a1)))),
% 213.91/213.89 inference(scs_inference,[],[520,157,3])).
% 213.91/213.89 cnf(767,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a1),x7671),f2(a4,a1)),f2(a1,a1))),
% 213.91/213.89 inference(scs_inference,[],[763,604,272,3,2])).
% 213.91/213.89 cnf(768,plain,
% 213.91/213.89 (~E(f2(f2(a4,a4),x7681),f2(f2(f2(a4,a1),x7682),f2(f2(a1,a4),x7683)))),
% 213.91/213.89 inference(scs_inference,[],[527,140,3])).
% 213.91/213.89 cnf(775,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a1),x7751),f2(f2(a1,a4),x7752)),f2(f2(a4,a4),x7753))),
% 213.91/213.89 inference(scs_inference,[],[768,2])).
% 213.91/213.89 cnf(825,plain,
% 213.91/213.89 (~E(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),f2(a1,a4))),
% 213.91/213.89 inference(scs_inference,[],[584,78,3,4])).
% 213.91/213.89 cnf(838,plain,
% 213.91/213.89 (~E(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),f2(f2(f2(a4,a1),x8381),f2(a4,a1)))),
% 213.91/213.89 inference(scs_inference,[],[599,67,3])).
% 213.91/213.89 cnf(879,plain,
% 213.91/213.89 (~E(a4,f2(f2(f2(a1,a1),x8791),f2(f2(a1,a4),x8792)))),
% 213.91/213.89 inference(scs_inference,[],[639,2])).
% 213.91/213.89 cnf(928,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,f2(a4,a4)),f2(a1,a4)),x9281),a4)),
% 213.91/213.89 inference(scs_inference,[],[687,259,3])).
% 213.91/213.89 cnf(956,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a1),x9561),f2(a4,a1)),f2(f2(f2(a1,a1),x9562),a3))),
% 213.91/213.89 inference(scs_inference,[],[706,13,3])).
% 213.91/213.89 cnf(986,plain,
% 213.91/213.89 (~E(f2(a1,a4),f2(f2(a4,f2(a1,a4)),f2(a1,a1)))),
% 213.91/213.89 inference(scs_inference,[],[825,2])).
% 213.91/213.89 cnf(1002,plain,
% 213.91/213.89 (~E(a4,f2(f2(f2(a4,a4),x10021),f2(f2(a1,a4),x10021)))),
% 213.91/213.89 inference(scs_inference,[],[753,2])).
% 213.91/213.89 cnf(1008,plain,
% 213.91/213.89 (~E(f2(f2(f2(a4,a4),a1),f2(a1,a1)),f2(f2(f2(a1,a1),x10081),a3))),
% 213.91/213.90 inference(scs_inference,[],[759,13,3])).
% 213.91/213.90 cnf(1086,plain,
% 213.91/213.90 (~E(f2(a4,f2(a1,a4)),f2(a1,f2(a4,a1)))),
% 213.91/213.90 inference(scs_inference,[],[838,56,3,4])).
% 213.91/213.90 cnf(1192,plain,
% 213.91/213.90 (E(f2(f2(x11921,x11922),f2(x11923,x11922)),f2(f2(f2(a4,x11921),x11923),f2(f2(a1,x11922),x11924)))),
% 213.91/213.90 inference(scs_inference,[],[7,12,3,2])).
% 213.91/213.90 cnf(1285,plain,
% 213.91/213.90 (~E(a4,f2(f2(f2(a4,f2(a4,a4)),f2(a1,a4)),x12851))),
% 213.91/213.90 inference(scs_inference,[],[9,986,928,3,2])).
% 213.91/213.90 cnf(1313,plain,
% 213.91/213.90 (~E(f2(f2(a1,a4),x13131),f2(f2(f2(a4,a4),x13132),f2(f2(a1,a4),x13132)))),
% 213.91/213.90 inference(scs_inference,[],[9,1002,3])).
% 213.91/213.90 cnf(1328,plain,
% 213.91/213.90 (~E(f2(f2(a1,a1),x13281),f2(f2(f2(a4,a1),x13282),f2(f2(a4,a1),x13283)))),
% 213.91/213.90 inference(scs_inference,[],[9,648,3])).
% 213.91/213.90 cnf(1339,plain,
% 213.91/213.90 (~E(f2(a1,x13391),f2(f2(f2(a4,a4),f2(a1,x13392)),a1))),
% 213.91/213.90 inference(scs_inference,[],[181,95,3])).
% 213.91/213.90 cnf(1343,plain,
% 213.91/213.90 (~E(f2(f2(a1,f2(a1,x13431)),x13432),f2(f2(a4,a1),x13433))),
% 213.91/213.90 inference(scs_inference,[],[181,9,1339,4,3])).
% 213.91/213.90 cnf(1349,plain,
% 213.91/213.90 (~E(f2(f2(a1,a4),x13491),f2(f2(f2(a1,a1),x13492),f2(f2(a1,a4),x13493)))),
% 213.91/213.90 inference(scs_inference,[],[9,879,1339,1343,2,4,3])).
% 213.91/213.90 cnf(1366,plain,
% 213.91/213.90 (~E(f2(f2(a1,a4),x13661),f2(f2(f2(a4,f2(a4,a4)),f2(a1,a4)),x13662))),
% 213.91/213.90 inference(scs_inference,[],[9,1285,3])).
% 213.91/213.90 cnf(1373,plain,
% 213.91/213.90 (~E(f2(f2(f2(a4,f2(a4,a4)),f2(a1,a4)),x13731),f2(f2(a1,a4),x13732))),
% 213.91/213.90 inference(scs_inference,[],[1366,2])).
% 213.91/213.90 cnf(1379,plain,
% 213.91/213.90 (~E(f2(a1,a1),f2(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),x13791))),
% 213.91/213.90 inference(scs_inference,[],[219,81,1373,1086,2,4,3])).
% 213.91/213.90 cnf(1467,plain,
% 213.91/213.90 (~E(f2(f2(a1,a4),x14671),f2(f2(f2(a4,a1),x14672),f2(f2(a4,a4),x14673)))),
% 213.91/213.90 inference(scs_inference,[],[9,688,3])).
% 213.91/213.90 cnf(1542,plain,
% 213.91/213.90 (~E(f2(f2(f2(a4,a4),x15421),f2(f2(a1,a4),x15421)),f2(f2(a1,a4),x15422))),
% 213.91/213.90 inference(scs_inference,[],[140,1313,5,4,2])).
% 213.91/213.90 cnf(1586,plain,
% 213.91/213.90 (E(f2(f2(x15861,x15862),f2(x15863,x15862)),f2(f2(x15861,f2(f2(a1,x15862),x15864)),f2(x15863,f2(f2(a1,x15862),x15864))))),
% 213.91/213.90 inference(scs_inference,[],[7,1192,245,1328,2,5,3])).
% 213.91/213.90 cnf(1589,plain,
% 213.91/213.90 (E(f2(f2(x15891,f2(f2(a1,x15892),x15893)),f2(x15894,f2(f2(a1,x15892),x15893))),f2(f2(x15891,x15892),f2(x15894,x15892)))),
% 213.91/213.90 inference(scs_inference,[],[1586,2])).
% 213.91/213.90 cnf(1596,plain,
% 213.91/213.90 (E(f2(x15961,f2(f2(f2(a4,a1),x15962),f2(x15963,x15964))),f2(x15961,f2(x15963,f2(f2(a1,x15964),x15965))))),
% 213.91/213.90 inference(scs_inference,[],[157,1349,2,5])).
% 213.91/213.90 cnf(1601,plain,
% 213.91/213.90 (E(f2(x16011,f2(x16012,f2(f2(a1,x16013),x16014))),f2(x16011,f2(f2(f2(a4,a1),x16015),f2(x16012,x16013))))),
% 213.91/213.90 inference(scs_inference,[],[177,1596,4,2])).
% 213.91/213.90 cnf(1602,plain,
% 213.91/213.90 (~E(x16021,f2(f2(a1,f2(f2(f2(a1,a3),x16022),x16021)),x16023))),
% 213.91/213.90 inference(scs_inference,[],[177,1596,72,4,2,5])).
% 213.91/213.90 cnf(1604,plain,
% 213.91/213.90 (E(f2(f2(f2(a4,f2(a4,f2(a4,a1))),f2(a1,x16041)),f2(a1,x16042)),f2(f2(a1,x16042),x16043))),
% 213.91/213.90 inference(scs_inference,[],[9,275,177,1596,72,4,2,5,3])).
% 213.91/213.90 cnf(1610,plain,
% 213.91/213.90 (~E(f2(a3,f2(x16101,f2(f2(f2(a4,a1),x16102),f2(x16103,x16104)))),f2(x16101,f2(x16103,f2(f2(a1,x16104),x16105))))),
% 213.91/213.90 inference(scs_inference,[],[1601,107,8,1467,1602,4,2,5,3])).
% 213.91/213.90 cnf(1616,plain,
% 213.91/213.90 (~E(f2(f2(a1,f2(f2(f2(a4,a1),x16161),f2(a4,a1))),x16162),f2(a1,a1))),
% 213.91/213.90 inference(scs_inference,[],[9,48,767,1604,1610,4,2,5,3])).
% 213.91/213.90 cnf(1649,plain,
% 213.91/213.90 (~E(f2(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),x16491),f2(a1,a1))),
% 213.91/213.90 inference(scs_inference,[],[129,1379,5,2])).
% 213.91/213.90 cnf(1711,plain,
% 213.91/213.90 (E(f2(f2(f2(f2(a1,x17111),x17112),x17113),x17114),f2(f2(f2(f2(a4,a1),x17115),f2(x17111,x17113)),x17114))),
% 213.91/213.90 inference(scs_inference,[],[71,1616,2,4])).
% 213.91/213.90 cnf(1974,plain,
% 213.91/213.90 (~E(f2(f2(f2(a1,f2(f2(a4,a4),x19741)),x19742),f2(f2(a1,a4),x19741)),f2(f2(a1,a4),x19743))),
% 213.91/213.90 inference(scs_inference,[],[20,1542,44,956,2,4,3])).
% 213.91/213.90 cnf(1979,plain,
% 213.91/213.90 (E(f2(f2(x19791,f2(f2(a1,x19792),x19793)),f2(x19794,f2(f2(a1,x19792),x19793))),f2(f2(f2(a1,f2(x19791,x19792)),x19795),f2(x19794,x19792)))),
% 213.91/213.90 inference(scs_inference,[],[20,1589,1711,1974,2,4,3])).
% 213.91/213.90 cnf(1985,plain,
% 213.91/213.90 (E(f2(f2(f2(a1,f2(x19851,x19852)),x19853),f2(x19854,x19852)),f2(f2(x19851,f2(f2(a1,x19852),x19855)),f2(x19854,f2(f2(a1,x19852),x19855))))),
% 213.91/213.90 inference(scs_inference,[],[1979,2])).
% 213.91/213.90 cnf(1986,plain,
% 213.91/213.90 (~E(f2(f2(f2(a1,f2(f2(a4,a1),x19861)),x19862),f2(f2(a1,a4),x19863)),f2(f2(a4,a4),x19864))),
% 213.91/213.90 inference(scs_inference,[],[20,775,1979,2,3])).
% 213.91/213.90 cnf(1989,plain,
% 213.91/213.90 (~E(f2(f2(a1,f2(f2(a4,a1),x19891)),x19892),f2(a4,a4))),
% 213.91/213.90 inference(scs_inference,[],[20,775,1979,165,2,3,5,4])).
% 213.91/213.90 cnf(1991,plain,
% 213.91/213.90 (E(f2(f2(f2(f2(a4,a1),x19911),x19912),x19913),f2(x19912,x19913))),
% 213.91/213.90 inference(scs_inference,[],[21,1986,2,4])).
% 213.91/213.90 cnf(2005,plain,
% 213.91/213.90 (E(f2(x20051,x20052),f2(f2(f2(f2(a4,a1),x20053),x20051),x20052))),
% 213.91/213.90 inference(scs_inference,[],[1991,2])).
% 213.91/213.90 cnf(2010,plain,
% 213.91/213.90 (E(f2(f2(f2(a4,a1),x20101),x20102),x20102)),
% 213.91/213.90 inference(rename_variables,[],[21])).
% 213.91/213.90 cnf(2011,plain,
% 213.91/213.90 (E(f2(x20111,f2(f2(f2(a4,a1),x20112),x20113)),f2(x20111,x20113))),
% 213.91/213.90 inference(scs_inference,[],[21,2010,1985,1991,1989,2,4,3,5])).
% 213.91/213.90 cnf(2016,plain,
% 213.91/213.90 (~E(f2(f2(f2(f2(a4,a1),x20161),a3),x20162),x20162)),
% 213.91/213.90 inference(scs_inference,[],[2005,8,1008,2,4,3,5])).
% 213.91/213.90 cnf(2025,plain,
% 213.91/213.90 (E(f2(f2(f2(f2(a4,f2(a4,x20251)),f2(a1,x20252)),f2(a1,x20253)),x20254),f2(f2(f2(x20251,x20252),x20253),x20254))),
% 213.91/213.90 inference(scs_inference,[],[316,2016,2,4])).
% 213.91/213.90 cnf(2449,plain,
% 213.91/213.90 (~E(f2(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),x24491),f2(f2(a1,f2(a1,a1)),x24492))),
% 213.91/213.90 inference(scs_inference,[],[6,1649,3])).
% 213.91/213.90 cnf(2455,plain,
% 213.91/213.90 (~E(f2(f2(a4,f2(a1,a4)),f2(a1,a1)),f2(a1,f2(a1,a1)))),
% 213.91/213.90 inference(scs_inference,[],[2449,4])).
% 213.91/213.90 cnf(2462,plain,
% 213.91/213.90 (~E(f2(a1,f2(a1,a1)),f2(f2(a4,f2(a1,a4)),f2(a1,a1)))),
% 213.91/213.90 inference(scs_inference,[],[2455,2])).
% 213.91/213.90 cnf(2466,plain,
% 213.91/213.90 (E(f2(f2(x24661,x24662),f2(x24663,x24662)),f2(f2(f2(f2(a4,f2(a4,a4)),f2(a1,x24661)),f2(a1,x24663)),x24662))),
% 213.91/213.90 inference(scs_inference,[],[7,2462,2025,3,4,2])).
% 213.91/213.90 cnf(2474,plain,
% 213.91/213.90 (E(f2(f2(x24741,x24742),f2(x24743,x24742)),f2(f2(f2(a4,x24741),x24743),f2(f2(f2(a4,a1),x24744),x24742)))),
% 213.91/213.90 inference(scs_inference,[],[7,2011,3,2])).
% 213.91/213.90 cnf(2532,plain,
% 213.91/213.90 ($false),
% 213.91/213.90 inference(scs_inference,[],[2466,2474,333,3]),
% 213.91/213.90 ['proof']).
% 213.91/213.90 % SZS output end Proof
% 213.91/213.90 % Total time :213.270000s
%------------------------------------------------------------------------------