TSTP Solution File: BOO003-2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : BOO003-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n001.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 18:05:18 EDT 2023
% Result : Unsatisfiable 194.94s 194.93s
% Output : CNFRefutation 194.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 09:00:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 194.94/194.91 %-------------------------------------------
% 194.94/194.91 % File :CSE---1.6
% 194.94/194.91 % Problem :theBenchmark
% 194.94/194.91 % Transform :cnf
% 194.94/194.91 % Format :tptp:raw
% 194.94/194.91 % Command :java -jar mcs_scs.jar %d %s
% 194.94/194.91
% 194.94/194.91 % Result :Theorem 194.280000s
% 194.94/194.91 % Output :CNFRefutation 194.280000s
% 194.94/194.91 %-------------------------------------------
% 194.94/194.93 %--------------------------------------------------------------------------
% 194.94/194.93 % File : BOO003-2 : TPTP v8.1.2. Released v1.0.0.
% 194.94/194.93 % Domain : Boolean Algebra
% 194.94/194.93 % Problem : Multiplication is idempotent (X * X = X)
% 194.94/194.93 % Version : [ANL] (equality) axioms.
% 194.94/194.93 % English :
% 194.94/194.93
% 194.94/194.93 % Refs :
% 194.94/194.93 % Source : [ANL]
% 194.94/194.93 % Names : prob2_part1.ver2.in [ANL]
% 194.94/194.93
% 194.94/194.93 % Status : Unsatisfiable
% 194.94/194.93 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.06 v6.0.0, 0.14 v5.5.0, 0.11 v5.4.0, 0.00 v2.1.0, 0.38 v2.0.0
% 194.94/194.93 % Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 1 RR)
% 194.94/194.93 % Number of literals : 15 ( 15 equ; 1 neg)
% 194.94/194.93 % Maximal clause size : 1 ( 1 avg)
% 194.94/194.93 % Maximal term depth : 3 ( 1 avg)
% 194.94/194.93 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 194.94/194.93 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 194.94/194.93 % Number of variables : 24 ( 0 sgn)
% 194.94/194.93 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 194.94/194.93
% 194.94/194.93 % Comments :
% 194.94/194.93 %--------------------------------------------------------------------------
% 194.94/194.93 %----Include boolean algebra axioms for equality formulation
% 194.94/194.93 include('Axioms/BOO003-0.ax').
% 194.94/194.93 %--------------------------------------------------------------------------
% 194.94/194.93 cnf(prove_a_times_a_is_a,negated_conjecture,
% 194.94/194.93 multiply(a,a) != a ).
% 194.94/194.93
% 194.94/194.93 %--------------------------------------------------------------------------
% 194.94/194.93 %-------------------------------------------
% 194.94/194.93 % Proof found
% 194.94/194.93 % SZS status Theorem for theBenchmark
% 194.94/194.93 % SZS output start Proof
% 194.94/194.94 %ClaNum:23(EqnAxiom:8)
% 194.94/194.94 %VarNum:52(SingletonVarNum:24)
% 194.94/194.94 %MaxLitNum:1
% 194.94/194.94 %MaxfuncDepth:2
% 194.94/194.94 %SharedTerms:5
% 194.94/194.94 %goalClause: 23
% 194.94/194.94 %singleGoalClaCount:1
% 194.94/194.94 [23]~E(f6(a3,a3),a3)
% 194.94/194.94 [9]E(f2(x91,a1),x91)
% 194.94/194.94 [10]E(f6(x101,a4),x101)
% 194.94/194.94 [11]E(f2(a1,x111),x111)
% 194.94/194.94 [12]E(f6(a4,x121),x121)
% 194.94/194.94 [13]E(f2(x131,f5(x131)),a4)
% 194.94/194.94 [14]E(f6(x141,f5(x141)),a1)
% 194.94/194.94 [15]E(f2(f5(x151),x151),a4)
% 194.94/194.94 [16]E(f6(f5(x161),x161),a1)
% 194.94/194.94 [17]E(f2(x171,x172),f2(x172,x171))
% 194.94/194.94 [18]E(f6(x181,x182),f6(x182,x181))
% 194.94/194.94 [19]E(f6(f2(x191,x192),f2(x191,x193)),f2(x191,f6(x192,x193)))
% 194.94/194.94 [20]E(f2(f6(x201,x202),f6(x201,x203)),f6(x201,f2(x202,x203)))
% 194.94/194.94 [21]E(f6(f2(x211,x212),f2(x213,x212)),f2(f6(x211,x213),x212))
% 194.94/194.94 [22]E(f2(f6(x221,x222),f6(x223,x222)),f6(f2(x221,x223),x222))
% 194.94/194.94 %EqnAxiom
% 194.94/194.94 [1]E(x11,x11)
% 194.94/194.94 [2]E(x22,x21)+~E(x21,x22)
% 194.94/194.94 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 194.94/194.94 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 194.94/194.94 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 194.94/194.94 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 194.94/194.94 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 194.94/194.94 [8]~E(x81,x82)+E(f5(x81),f5(x82))
% 194.94/194.94
% 194.94/194.94 %-------------------------------------------
% 194.94/194.95 cnf(24,plain,
% 194.94/194.95 (E(x241,f2(x241,a1))),
% 194.94/194.95 inference(scs_inference,[],[9,2])).
% 194.94/194.95 cnf(25,plain,
% 194.94/194.95 (~E(f6(a3,a3),f2(a3,a1))),
% 194.94/194.95 inference(scs_inference,[],[23,9,2,3])).
% 194.94/194.95 cnf(26,plain,
% 194.94/194.95 (E(f2(x261,a1),x261)),
% 194.94/194.95 inference(rename_variables,[],[9])).
% 194.94/194.95 cnf(27,plain,
% 194.94/194.95 (E(f5(f2(x271,a1)),f5(x271))),
% 194.94/194.95 inference(scs_inference,[],[23,9,26,2,3,8])).
% 194.94/194.95 cnf(28,plain,
% 194.94/194.95 (E(f6(x281,f2(x282,a1)),f6(x281,x282))),
% 194.94/194.95 inference(scs_inference,[],[23,9,26,2,3,8,7])).
% 194.94/194.95 cnf(29,plain,
% 194.94/194.95 (E(f6(f2(x291,a1),x292),f6(x291,x292))),
% 194.94/194.95 inference(scs_inference,[],[23,9,26,2,3,8,7,6])).
% 194.94/194.95 cnf(30,plain,
% 194.94/194.95 (E(f2(x301,f2(x302,a1)),f2(x301,x302))),
% 194.94/194.95 inference(scs_inference,[],[23,9,26,2,3,8,7,6,5])).
% 194.94/194.95 cnf(31,plain,
% 194.94/194.95 (E(f2(f2(x311,a1),x312),f2(x311,x312))),
% 194.94/194.95 inference(scs_inference,[],[23,9,26,2,3,8,7,6,5,4])).
% 194.94/194.95 cnf(32,plain,
% 194.94/194.95 (~E(a3,f6(a3,a3))),
% 194.94/194.95 inference(scs_inference,[],[23,2])).
% 194.94/194.95 cnf(33,plain,
% 194.94/194.95 (~E(f2(a3,a1),f6(a3,a3))),
% 194.94/194.95 inference(scs_inference,[],[23,24,2,3])).
% 194.94/194.95 cnf(35,plain,
% 194.94/194.95 (E(x351,f6(x351,a4))),
% 194.94/194.95 inference(scs_inference,[],[10,2])).
% 194.94/194.95 cnf(36,plain,
% 194.94/194.95 (E(f2(f6(x361,a4),a1),x361)),
% 194.94/194.95 inference(scs_inference,[],[9,10,2,3])).
% 194.94/194.95 cnf(38,plain,
% 194.94/194.95 (~E(f2(a3,a1),f2(f6(a3,a3),a1))),
% 194.94/194.95 inference(scs_inference,[],[9,33,3])).
% 194.94/194.95 cnf(40,plain,
% 194.94/194.95 (~E(f2(f6(a3,a3),a1),f2(a3,a1))),
% 194.94/194.95 inference(scs_inference,[],[9,33,3,2])).
% 194.94/194.95 cnf(41,plain,
% 194.94/194.95 (~E(f2(a1,f6(a3,a3)),f2(a3,a1))),
% 194.94/194.95 inference(scs_inference,[],[17,40,3])).
% 194.94/194.95 cnf(43,plain,
% 194.94/194.95 (E(x431,f2(a1,x431))),
% 194.94/194.95 inference(scs_inference,[],[11,17,40,3,2])).
% 194.94/194.95 cnf(44,plain,
% 194.94/194.95 (E(f5(f6(x441,a4)),f5(x441))),
% 194.94/194.95 inference(scs_inference,[],[10,11,17,40,3,2,8])).
% 194.94/194.95 cnf(45,plain,
% 194.94/194.95 (E(f6(x451,f6(x452,a4)),f6(x451,x452))),
% 194.94/194.95 inference(scs_inference,[],[10,11,17,40,3,2,8,7])).
% 194.94/194.95 cnf(46,plain,
% 194.94/194.95 (E(f6(f6(x461,a4),x462),f6(x461,x462))),
% 194.94/194.95 inference(scs_inference,[],[10,11,17,40,3,2,8,7,6])).
% 194.94/194.95 cnf(47,plain,
% 194.94/194.95 (E(f2(f6(x471,a4),x472),f2(x471,x472))),
% 194.94/194.95 inference(scs_inference,[],[10,11,17,40,3,2,8,7,6,4])).
% 194.94/194.95 cnf(48,plain,
% 194.94/194.95 (E(f2(x481,f6(x482,a4)),f2(x481,x482))),
% 194.94/194.95 inference(scs_inference,[],[10,11,17,40,3,2,8,7,6,4,5])).
% 194.94/194.95 cnf(49,plain,
% 194.94/194.95 (E(f6(f6(a4,x491),a4),x491)),
% 194.94/194.95 inference(scs_inference,[],[10,12,3])).
% 194.94/194.95 cnf(51,plain,
% 194.94/194.95 (~E(f2(a3,a1),f2(a1,f6(a3,a3)))),
% 194.94/194.95 inference(scs_inference,[],[10,12,41,3,2])).
% 194.94/194.95 cnf(52,plain,
% 194.94/194.95 (~E(f6(a3,a3),f2(a1,f2(a3,a1)))),
% 194.94/194.95 inference(scs_inference,[],[11,25,3])).
% 194.94/194.95 cnf(54,plain,
% 194.94/194.95 (E(f5(x541),f5(f2(x541,a1)))),
% 194.94/194.95 inference(scs_inference,[],[11,25,27,3,2])).
% 194.94/194.95 cnf(55,plain,
% 194.94/194.95 (~E(f2(f2(a3,a1),a1),f2(a1,f6(a3,a3)))),
% 194.94/194.95 inference(scs_inference,[],[24,51,3])).
% 194.94/194.95 cnf(57,plain,
% 194.94/194.95 (~E(f2(a1,f2(a3,a1)),f6(a3,a3))),
% 194.94/194.95 inference(scs_inference,[],[24,51,52,3,2])).
% 194.94/194.95 cnf(58,plain,
% 194.94/194.95 (E(f6(a4,f6(x581,f2(x582,a1))),f6(x581,x582))),
% 194.94/194.95 inference(scs_inference,[],[12,28,3])).
% 194.94/194.95 cnf(59,plain,
% 194.94/194.95 (E(f6(a4,x591),x591)),
% 194.94/194.95 inference(rename_variables,[],[12])).
% 194.94/194.95 cnf(60,plain,
% 194.94/194.95 (E(x601,f6(a4,x601))),
% 194.94/194.95 inference(scs_inference,[],[12,59,28,3,2])).
% 194.94/194.95 cnf(61,plain,
% 194.94/194.95 (E(f5(f6(a4,x611)),f5(x611))),
% 194.94/194.95 inference(scs_inference,[],[12,59,28,3,2,8])).
% 194.94/194.95 cnf(62,plain,
% 194.94/194.95 (E(f6(x621,f6(a4,x622)),f6(x621,x622))),
% 194.94/194.95 inference(scs_inference,[],[12,59,28,3,2,8,7])).
% 194.94/194.95 cnf(63,plain,
% 194.94/194.95 (E(f6(f6(a4,x631),x632),f6(x631,x632))),
% 194.94/194.95 inference(scs_inference,[],[12,59,28,3,2,8,7,6])).
% 194.94/194.95 cnf(64,plain,
% 194.94/194.95 (E(f2(x641,f6(a4,x642)),f2(x641,x642))),
% 194.94/194.95 inference(scs_inference,[],[12,59,28,3,2,8,7,6,5])).
% 194.94/194.95 cnf(65,plain,
% 194.94/194.95 (E(f2(f6(a4,x651),x652),f2(x651,x652))),
% 194.94/194.95 inference(scs_inference,[],[12,59,28,3,2,8,7,6,5,4])).
% 194.94/194.95 cnf(66,plain,
% 194.94/194.95 (~E(f6(a3,a3),f6(a4,f2(a3,a1)))),
% 194.94/194.95 inference(scs_inference,[],[12,25,3])).
% 194.94/194.95 cnf(68,plain,
% 194.94/194.95 (~E(f2(a1,f6(a3,a3)),f2(f2(a3,a1),a1))),
% 194.94/194.95 inference(scs_inference,[],[12,25,55,3,2])).
% 194.94/194.95 cnf(69,plain,
% 194.94/194.95 (~E(f2(f2(a3,a1),a1),f6(a3,a3))),
% 194.94/194.95 inference(scs_inference,[],[17,57,3])).
% 194.94/194.95 cnf(71,plain,
% 194.94/194.95 (E(a4,f2(x711,f5(x711)))),
% 194.94/194.95 inference(scs_inference,[],[13,17,57,3,2])).
% 194.94/194.95 cnf(72,plain,
% 194.94/194.95 (E(f2(x721,f5(x721)),f2(a4,a1))),
% 194.94/194.95 inference(scs_inference,[],[13,24,3])).
% 194.94/194.95 cnf(74,plain,
% 194.94/194.95 (~E(f6(a3,a3),f2(f2(a3,a1),a1))),
% 194.94/194.95 inference(scs_inference,[],[13,24,69,3,2])).
% 194.94/194.95 cnf(75,plain,
% 194.94/194.95 (E(f6(f2(x751,a1),f5(x751)),a1)),
% 194.94/194.95 inference(scs_inference,[],[14,29,3])).
% 194.94/194.95 cnf(76,plain,
% 194.94/194.95 (E(f6(x761,f5(x761)),a1)),
% 194.94/194.95 inference(rename_variables,[],[14])).
% 194.94/194.95 cnf(78,plain,
% 194.94/194.95 (E(a1,f6(x781,f5(x781)))),
% 194.94/194.95 inference(scs_inference,[],[14,76,29,3,2])).
% 194.94/194.95 cnf(80,plain,
% 194.94/194.95 (E(f6(x801,f6(x802,f5(x802))),f6(x801,a1))),
% 194.94/194.95 inference(scs_inference,[],[14,76,29,3,2,8,7])).
% 194.94/194.95 cnf(82,plain,
% 194.94/194.95 (E(f2(f6(x821,f5(x821)),x822),f2(a1,x822))),
% 194.94/194.95 inference(scs_inference,[],[14,76,29,3,2,8,7,6,4])).
% 194.94/194.95 cnf(83,plain,
% 194.94/194.95 (E(f2(x831,f6(x832,f5(x832))),f2(x831,a1))),
% 194.94/194.95 inference(scs_inference,[],[14,76,29,3,2,8,7,6,4,5])).
% 194.94/194.95 cnf(84,plain,
% 194.94/194.95 (~E(f2(f6(a3,a3),a1),f2(f2(a3,a1),a1))),
% 194.94/194.95 inference(scs_inference,[],[17,68,3])).
% 194.94/194.95 cnf(86,plain,
% 194.94/194.95 (~E(f6(a4,f2(a3,a1)),f6(a3,a3))),
% 194.94/194.95 inference(scs_inference,[],[17,68,66,3,2])).
% 194.94/194.95 cnf(87,plain,
% 194.94/194.95 (E(f2(f5(x871),x871),f2(a4,a1))),
% 194.94/194.95 inference(scs_inference,[],[15,24,3])).
% 194.94/194.95 cnf(90,plain,
% 194.94/194.95 (E(f2(f5(x901),f2(x901,a1)),a4)),
% 194.94/194.95 inference(scs_inference,[],[15,30,3])).
% 194.94/194.95 cnf(93,plain,
% 194.94/194.95 (~E(f2(f2(a3,a1),a1),f2(f6(a3,a3),a1))),
% 194.94/194.95 inference(scs_inference,[],[15,30,84,3,2])).
% 194.94/194.95 cnf(94,plain,
% 194.94/194.95 (~E(f6(f2(a3,a1),a4),f6(a3,a3))),
% 194.94/194.95 inference(scs_inference,[],[18,86,3])).
% 194.94/194.95 cnf(96,plain,
% 194.94/194.95 (E(a1,f6(f5(x961),x961))),
% 194.94/194.95 inference(scs_inference,[],[16,18,86,3,2])).
% 194.94/194.95 cnf(102,plain,
% 194.94/194.95 (E(f6(f5(x1021),x1021),f2(a1,a1))),
% 194.94/194.95 inference(scs_inference,[],[16,24,3])).
% 194.94/194.95 cnf(104,plain,
% 194.94/194.95 (~E(f6(a3,a3),f6(f2(a3,a1),a4))),
% 194.94/194.95 inference(scs_inference,[],[16,24,94,3,2])).
% 194.94/194.96 cnf(107,plain,
% 194.94/194.96 (E(f2(x1071,x1072),f2(f2(x1071,a1),x1072))),
% 194.94/194.96 inference(scs_inference,[],[17,31,25,3,2])).
% 194.94/194.96 cnf(108,plain,
% 194.94/194.96 (~E(f2(a1,a3),f6(a3,a3))),
% 194.94/194.96 inference(scs_inference,[],[17,33,3])).
% 194.94/194.96 cnf(110,plain,
% 194.94/194.96 (E(f2(f6(x1101,x1102),f6(x1101,x1103)),f6(f2(x1102,x1103),x1101))),
% 194.94/194.96 inference(scs_inference,[],[18,20,3])).
% 194.94/194.96 cnf(112,plain,
% 194.94/194.96 (E(f6(x1121,x1122),f6(x1122,x1121))),
% 194.94/194.96 inference(rename_variables,[],[18])).
% 194.94/194.96 cnf(114,plain,
% 194.94/194.96 (E(f6(x1141,f6(x1142,x1143)),f6(x1141,f6(x1143,x1142)))),
% 194.94/194.96 inference(scs_inference,[],[18,112,20,3,8,7])).
% 194.94/194.96 cnf(115,plain,
% 194.94/194.96 (E(f6(f6(x1151,x1152),x1153),f6(f6(x1152,x1151),x1153))),
% 194.94/194.96 inference(scs_inference,[],[18,112,20,3,8,7,6])).
% 194.94/194.96 cnf(116,plain,
% 194.94/194.96 (E(f2(f6(x1161,x1162),x1163),f2(f6(x1162,x1161),x1163))),
% 194.94/194.96 inference(scs_inference,[],[18,112,20,3,8,7,6,4])).
% 194.94/194.96 cnf(118,plain,
% 194.94/194.96 (~E(f2(a3,a1),f6(f2(a1,a3),f2(a1,a3)))),
% 194.94/194.96 inference(scs_inference,[],[19,51,3])).
% 194.94/194.96 cnf(122,plain,
% 194.94/194.96 (~E(f6(a3,a4),f6(a3,a3))),
% 194.94/194.96 inference(scs_inference,[],[19,32,35,2,3])).
% 194.94/194.96 cnf(124,plain,
% 194.94/194.96 (~E(a4,a3)),
% 194.94/194.96 inference(scs_inference,[],[19,32,35,2,3,7])).
% 194.94/194.96 cnf(125,plain,
% 194.94/194.96 (E(f6(x1251,f2(f6(x1252,a4),a1)),f6(x1251,x1252))),
% 194.94/194.96 inference(scs_inference,[],[36,7])).
% 194.94/194.96 cnf(126,plain,
% 194.94/194.96 (~E(f6(a3,a3),f6(a3,a4))),
% 194.94/194.96 inference(scs_inference,[],[36,122,7,2])).
% 194.94/194.96 cnf(127,plain,
% 194.94/194.96 (E(f6(f2(x1271,a1),f2(a4,a1)),x1271)),
% 194.94/194.96 inference(scs_inference,[],[36,21,122,7,2,3])).
% 194.94/194.96 cnf(129,plain,
% 194.94/194.96 (~E(a3,a4)),
% 194.94/194.96 inference(scs_inference,[],[126,7])).
% 194.94/194.96 cnf(130,plain,
% 194.94/194.96 (E(f6(x1301,f2(x1302,x1303)),f2(f6(x1301,x1302),f6(x1301,x1303)))),
% 194.94/194.96 inference(scs_inference,[],[20,126,7,2])).
% 194.94/194.96 cnf(131,plain,
% 194.94/194.96 (~E(f6(a3,a3),f2(f6(a3,a4),f6(a1,a4)))),
% 194.94/194.96 inference(scs_inference,[],[20,22,104,126,7,2,3])).
% 194.94/194.96 cnf(133,plain,
% 194.94/194.96 (E(f6(x1331,x1332),f6(f6(x1331,a4),x1332))),
% 194.94/194.96 inference(scs_inference,[],[20,22,35,104,126,7,2,3,6])).
% 194.94/194.96 cnf(134,plain,
% 194.94/194.96 (E(f5(x1341),f5(f6(x1341,a4)))),
% 194.94/194.96 inference(scs_inference,[],[20,22,35,104,126,7,2,3,6,8])).
% 194.94/194.96 cnf(135,plain,
% 194.94/194.96 (E(f2(x1351,x1352),f2(f6(x1351,a4),x1352))),
% 194.94/194.96 inference(scs_inference,[],[20,22,35,104,126,7,2,3,6,8,4])).
% 194.94/194.96 cnf(136,plain,
% 194.94/194.96 (E(f2(x1361,x1362),f2(x1361,f6(x1362,a4)))),
% 194.94/194.96 inference(scs_inference,[],[20,22,35,104,126,7,2,3,6,8,4,5])).
% 194.94/194.96 cnf(138,plain,
% 194.94/194.96 (~E(f2(f6(a3,a4),f6(a1,a4)),f6(a3,a3))),
% 194.94/194.96 inference(scs_inference,[],[24,131,7,2])).
% 194.94/194.96 cnf(139,plain,
% 194.94/194.96 (~E(f2(f2(a1,a3),a1),f6(a3,a3))),
% 194.94/194.96 inference(scs_inference,[],[24,108,131,7,2,3])).
% 194.94/194.96 cnf(141,plain,
% 194.94/194.96 (E(f2(f6(x1411,x1412),x1413),f6(f2(x1411,x1413),f2(x1412,x1413)))),
% 194.94/194.96 inference(scs_inference,[],[21,2])).
% 194.94/194.96 cnf(142,plain,
% 194.94/194.96 (E(f6(f2(f2(x1421,x1422),a1),f2(x1423,x1422)),f2(f6(x1421,x1423),x1422))),
% 194.94/194.96 inference(scs_inference,[],[21,29,2,3])).
% 194.94/194.96 cnf(151,plain,
% 194.94/194.96 (E(f6(f2(f6(x1511,a4),a1),x1512),f6(x1511,x1512))),
% 194.94/194.96 inference(scs_inference,[],[22,40,36,35,7,2,3,6])).
% 194.94/194.96 cnf(158,plain,
% 194.94/194.96 (E(f2(x1581,x1582),f2(x1581,f2(x1582,a1)))),
% 194.94/194.96 inference(scs_inference,[],[30,2])).
% 194.94/194.96 cnf(159,plain,
% 194.94/194.96 (~E(f2(a3,a1),f2(f6(a3,a3),f2(a1,a1)))),
% 194.94/194.96 inference(scs_inference,[],[38,30,2,3])).
% 194.94/194.96 cnf(161,plain,
% 194.94/194.96 (~E(f2(f6(a3,a3),f2(a1,a1)),f2(a3,a1))),
% 194.94/194.96 inference(scs_inference,[],[159,2])).
% 194.94/194.96 cnf(164,plain,
% 194.94/194.96 (~E(f2(a1,f6(a3,a3)),a3)),
% 194.94/194.96 inference(scs_inference,[],[24,41,159,2,3,4])).
% 194.94/194.96 cnf(165,plain,
% 194.94/194.96 (E(f2(x1651,x1652),f2(f2(a1,x1651),x1652))),
% 194.94/194.96 inference(scs_inference,[],[43,4])).
% 194.94/194.96 cnf(166,plain,
% 194.94/194.96 (E(f6(x1661,x1662),f6(f2(x1661,a1),x1662))),
% 194.94/194.96 inference(scs_inference,[],[43,29,4,2])).
% 194.94/194.96 cnf(168,plain,
% 194.94/194.96 (E(x1681,f2(a1,x1681))),
% 194.94/194.96 inference(rename_variables,[],[43])).
% 194.94/194.96 cnf(169,plain,
% 194.94/194.96 (E(f6(x1691,x1692),f6(f2(a1,x1691),x1692))),
% 194.94/194.96 inference(scs_inference,[],[44,43,168,29,4,2,3,6])).
% 194.94/194.96 cnf(171,plain,
% 194.94/194.96 (E(f2(x1711,x1712),f2(x1711,f2(a1,x1712)))),
% 194.94/194.96 inference(scs_inference,[],[44,43,168,29,4,2,3,6,8,5])).
% 194.94/194.96 cnf(172,plain,
% 194.94/194.96 (E(f6(x1721,x1722),f6(x1721,f2(a1,x1722)))),
% 194.94/194.96 inference(scs_inference,[],[44,43,168,29,4,2,3,6,8,5,7])).
% 194.94/194.96 cnf(176,plain,
% 194.94/194.96 (E(f2(f6(f2(x1761,a1),f2(a4,a1)),x1762),f2(x1761,x1762))),
% 194.94/194.96 inference(scs_inference,[],[127,4])).
% 194.94/194.96 cnf(177,plain,
% 194.94/194.96 (E(x1771,f2(f6(x1771,a4),a1))),
% 194.94/194.96 inference(scs_inference,[],[36,127,4,2])).
% 194.94/194.96 cnf(180,plain,
% 194.94/194.96 (E(f6(x1801,f6(f2(x1802,a1),a4)),f6(x1801,x1802))),
% 194.94/194.96 inference(scs_inference,[],[45,28,3])).
% 194.94/194.96 cnf(182,plain,
% 194.94/194.96 (~E(a3,f2(a1,f6(a3,a3)))),
% 194.94/194.96 inference(scs_inference,[],[45,28,164,3,2])).
% 194.94/194.96 cnf(183,plain,
% 194.94/194.96 (~E(a3,f6(a3,f2(a3,a1)))),
% 194.94/194.96 inference(scs_inference,[],[28,32,3])).
% 194.94/194.96 cnf(185,plain,
% 194.94/194.96 (E(f6(f2(x1851,x1852),x1853),f2(f6(x1853,x1851),f6(x1853,x1852)))),
% 194.94/194.96 inference(scs_inference,[],[28,32,110,3,2])).
% 194.94/194.96 cnf(188,plain,
% 194.94/194.96 (E(f2(x1881,x1882),f2(x1881,f6(a4,x1882)))),
% 194.94/194.96 inference(scs_inference,[],[28,32,110,60,3,2,6,8,5])).
% 194.94/194.96 cnf(189,plain,
% 194.94/194.96 (E(f6(x1891,x1892),f6(x1891,f6(a4,x1892)))),
% 194.94/194.96 inference(scs_inference,[],[28,32,110,60,3,2,6,8,5,7])).
% 194.94/194.96 cnf(190,plain,
% 194.94/194.96 (~E(f2(a1,f2(a3,a1)),f2(f6(a3,a3),a1))),
% 194.94/194.96 inference(scs_inference,[],[38,43,3])).
% 194.94/194.96 cnf(193,plain,
% 194.94/194.96 (E(f6(f6(f2(x1931,a1),a4),x1932),f6(x1931,x1932))),
% 194.94/194.96 inference(scs_inference,[],[29,46,3])).
% 194.94/194.96 cnf(195,plain,
% 194.94/194.96 (E(f2(x1951,x1952),f2(f6(f2(x1951,a1),f2(a4,a1)),x1952))),
% 194.94/194.96 inference(scs_inference,[],[29,46,176,3,2])).
% 194.94/194.96 cnf(196,plain,
% 194.94/194.96 (E(f2(f6(f6(a4,x1961),a4),x1962),f2(x1961,x1962))),
% 194.94/194.96 inference(scs_inference,[],[29,46,176,49,3,2,4])).
% 194.94/194.96 cnf(197,plain,
% 194.94/194.96 (~E(a3,f6(f2(a3,a1),a3))),
% 194.94/194.96 inference(scs_inference,[],[29,32,3])).
% 194.94/194.96 cnf(202,plain,
% 194.94/194.96 (E(f2(f6(x2021,x2022),x2023),f6(f2(f2(x2021,x2023),a1),f2(x2022,x2023)))),
% 194.94/194.96 inference(scs_inference,[],[41,43,142,3,2])).
% 194.94/194.96 cnf(203,plain,
% 194.94/194.96 (E(f6(x2031,x2032),f6(f2(f6(x2031,a4),a1),x2032))),
% 194.94/194.96 inference(scs_inference,[],[41,43,142,177,3,2,6])).
% 194.94/194.96 cnf(205,plain,
% 194.94/194.96 (E(f2(x2051,x2052),f2(x2051,f2(f6(x2052,a4),a1)))),
% 194.94/194.96 inference(scs_inference,[],[41,43,142,177,3,2,6,8,5])).
% 194.94/194.96 cnf(206,plain,
% 194.94/194.96 (E(f6(x2061,x2062),f6(x2061,f2(f6(x2062,a4),a1)))),
% 194.94/194.96 inference(scs_inference,[],[41,43,142,177,3,2,6,8,5,7])).
% 194.94/194.96 cnf(207,plain,
% 194.94/194.96 (E(f2(f6(x2071,a4),f2(x2072,a1)),f2(x2071,x2072))),
% 194.94/194.96 inference(scs_inference,[],[30,47,3])).
% 194.94/194.96 cnf(210,plain,
% 194.94/194.96 (~E(f2(f6(a3,a3),a1),f2(a3,f6(a1,a4)))),
% 194.94/194.96 inference(scs_inference,[],[48,40,3])).
% 194.94/194.96 cnf(212,plain,
% 194.94/194.96 (E(x2121,f6(f6(a4,x2121),a4))),
% 194.94/194.96 inference(scs_inference,[],[48,49,40,3,2])).
% 194.94/194.96 cnf(214,plain,
% 194.94/194.96 (~E(f2(a1,a4),a3)),
% 194.94/194.96 inference(scs_inference,[],[43,124,3])).
% 194.94/194.96 cnf(217,plain,
% 194.94/194.96 (E(f6(f6(x2171,a4),f6(x2172,a4)),f6(x2171,x2172))),
% 194.94/194.96 inference(scs_inference,[],[45,46,3])).
% 194.94/194.96 cnf(219,plain,
% 194.94/194.96 (E(f2(x2191,x2192),f2(f6(a4,x2191),x2192))),
% 194.94/194.96 inference(scs_inference,[],[45,46,65,3,2])).
% 194.94/194.96 cnf(220,plain,
% 194.94/194.96 (E(f6(f6(f6(a4,x2201),a4),x2202),f6(x2201,x2202))),
% 194.94/194.96 inference(scs_inference,[],[45,46,49,65,3,2,6])).
% 194.94/194.96 cnf(222,plain,
% 194.94/194.96 (E(f2(x2221,f6(f6(a4,x2222),a4)),f2(x2221,x2222))),
% 194.94/194.96 inference(scs_inference,[],[45,46,49,65,3,2,6,8,5])).
% 194.94/194.96 cnf(224,plain,
% 194.94/194.96 (~E(f2(a3,f6(a1,a4)),f2(f6(a3,a3),a1))),
% 194.94/194.96 inference(scs_inference,[],[210,2])).
% 194.94/194.96 cnf(225,plain,
% 194.94/194.96 (~E(f2(a3,a1),f2(f6(a1,a4),f6(a3,a3)))),
% 194.94/194.96 inference(scs_inference,[],[47,51,210,2,3])).
% 194.94/194.96 cnf(227,plain,
% 194.94/194.96 (~E(f2(a1,f6(a3,a3)),f2(a1,f2(a3,a1)))),
% 194.94/194.96 inference(scs_inference,[],[52,43,3])).
% 194.94/194.96 cnf(229,plain,
% 194.94/194.96 (E(f2(f2(a1,x2291),x2292),f2(x2291,x2292))),
% 194.94/194.96 inference(scs_inference,[],[52,43,165,3,2])).
% 194.94/194.96 cnf(230,plain,
% 194.94/194.96 (E(f2(x2301,x2302),f2(f6(f6(a4,x2301),a4),x2302))),
% 194.94/194.96 inference(scs_inference,[],[52,43,165,212,3,2,4])).
% 194.94/194.96 cnf(231,plain,
% 194.94/194.96 (~E(f2(f6(a1,a4),f6(a3,a3)),f2(a3,a1))),
% 194.94/194.96 inference(scs_inference,[],[225,2])).
% 194.94/194.96 cnf(234,plain,
% 194.94/194.96 (E(f6(f2(a1,x2341),x2342),f6(x2341,x2342))),
% 194.94/194.96 inference(scs_inference,[],[169,2])).
% 194.94/194.96 cnf(241,plain,
% 194.94/194.96 (~E(f6(f6(a3,a3),a4),f2(a1,f2(a3,a1)))),
% 194.94/194.96 inference(scs_inference,[],[35,52,3])).
% 194.94/194.96 cnf(243,plain,
% 194.94/194.96 (~E(f2(a1,f2(a3,a1)),f2(a1,f6(a3,a3)))),
% 194.94/194.96 inference(scs_inference,[],[35,52,227,3,2])).
% 194.94/194.96 cnf(249,plain,
% 194.94/194.96 (~E(f2(a3,a1),f6(f2(a1,a3),f6(f2(a1,a3),a4)))),
% 194.94/194.96 inference(scs_inference,[],[45,118,241,2,3])).
% 194.94/194.96 cnf(253,plain,
% 194.94/194.96 (E(f6(x2531,f2(a1,x2532)),f6(x2531,x2532))),
% 194.94/194.96 inference(scs_inference,[],[57,43,172,3,2])).
% 194.94/194.96 cnf(259,plain,
% 194.94/194.96 (E(f6(x2591,a4),f2(a1,x2591))),
% 194.94/194.96 inference(scs_inference,[],[48,43,249,2,3])).
% 194.94/194.96 cnf(262,plain,
% 194.94/194.96 (~E(f2(a1,f2(a3,a1)),f6(f6(a3,a4),a3))),
% 194.94/194.96 inference(scs_inference,[],[57,46,3])).
% 194.94/194.96 cnf(265,plain,
% 194.94/194.96 (E(f2(f6(x2651,a4),x2652),f2(f2(a1,x2651),x2652))),
% 194.94/194.96 inference(scs_inference,[],[58,57,46,259,3,2,4])).
% 194.94/194.96 cnf(269,plain,
% 194.94/194.96 (E(f5(x2691),f6(a4,f5(f2(x2691,a1))))),
% 194.94/194.96 inference(scs_inference,[],[54,60,3])).
% 194.94/194.96 cnf(277,plain,
% 194.94/194.96 (~E(f2(a1,f2(a3,a1)),f6(a3,f6(a3,a4)))),
% 194.94/194.96 inference(scs_inference,[],[57,45,262,2,3])).
% 194.94/194.96 cnf(279,plain,
% 194.94/194.96 (~E(f2(a1,a3),f2(a1,f6(a3,a3)))),
% 194.94/194.96 inference(scs_inference,[],[43,182,3])).
% 194.94/194.96 cnf(281,plain,
% 194.94/194.96 (E(f6(x2811,x2812),f6(x2811,f6(f2(x2812,a1),a4)))),
% 194.94/194.96 inference(scs_inference,[],[43,182,180,3,2])).
% 194.94/194.96 cnf(283,plain,
% 194.94/194.96 (~E(f2(a1,f6(a3,a3)),f2(a1,a3))),
% 194.94/194.96 inference(scs_inference,[],[279,2])).
% 194.94/194.96 cnf(288,plain,
% 194.94/194.96 (E(f6(x2881,x2882),f6(f6(f2(x2881,a1),a4),x2882))),
% 194.94/194.96 inference(scs_inference,[],[44,61,193,3,2])).
% 194.94/194.96 cnf(289,plain,
% 194.94/194.96 (E(f6(f6(f2(x2891,a1),f2(a4,a1)),x2892),f6(x2891,x2892))),
% 194.94/194.96 inference(scs_inference,[],[44,61,193,127,3,2,6])).
% 194.94/194.96 cnf(290,plain,
% 194.94/194.96 (E(f5(f6(f2(x2901,a1),f2(a4,a1))),f5(x2901))),
% 194.94/194.96 inference(scs_inference,[],[44,61,193,127,3,2,6,8])).
% 194.94/194.96 cnf(294,plain,
% 194.94/194.96 (~E(f6(a4,f2(a3,a1)),f2(a1,f6(a3,a3)))),
% 194.94/194.96 inference(scs_inference,[],[51,60,277,2,3])).
% 194.94/194.96 cnf(298,plain,
% 194.94/194.96 (E(f6(x2981,x2982),f6(f6(f2(x2981,a1),f2(a4,a1)),x2982))),
% 194.94/194.96 inference(scs_inference,[],[45,62,289,3,2])).
% 194.94/194.96 cnf(301,plain,
% 194.94/194.96 (~E(f2(a1,f2(a3,a1)),f6(f6(a4,a3),a3))),
% 194.94/194.96 inference(scs_inference,[],[63,57,294,2,3])).
% 194.94/194.96 cnf(311,plain,
% 194.94/194.96 (E(f6(f6(x3111,a4),f6(a4,x3112)),f6(x3111,x3112))),
% 194.94/194.96 inference(scs_inference,[],[46,62,301,2,3])).
% 194.94/194.96 cnf(320,plain,
% 194.94/194.96 (E(f2(x3201,f6(a4,f6(x3202,a4))),f2(x3201,x3202))),
% 194.94/194.96 inference(scs_inference,[],[48,64,3])).
% 194.94/194.96 cnf(325,plain,
% 194.94/194.96 (E(f2(x3251,f6(x3252,a4)),f2(x3251,f2(a1,x3252)))),
% 194.94/194.96 inference(scs_inference,[],[48,64,290,259,3,2,6,8,5])).
% 194.94/194.96 cnf(339,plain,
% 194.94/194.96 (E(f2(x3391,x3392),f2(x3391,f6(a4,f6(x3392,a4))))),
% 194.94/194.96 inference(scs_inference,[],[69,62,320,3,2])).
% 194.94/194.96 cnf(364,plain,
% 194.94/194.96 (~E(f2(f2(a3,a1),a1),f2(f6(a4,a1),f6(a3,a3)))),
% 194.94/194.96 inference(scs_inference,[],[55,65,3])).
% 194.94/194.96 cnf(387,plain,
% 194.94/194.96 (E(f6(f6(a4,a4),f6(x3871,f2(x3872,a1))),f6(x3871,x3872))),
% 194.94/194.96 inference(scs_inference,[],[58,63,364,2,3])).
% 194.94/194.96 cnf(392,plain,
% 194.94/194.96 (E(f6(x3921,x3922),f6(f6(a4,a4),f6(x3921,f2(x3922,a1))))),
% 194.94/194.96 inference(scs_inference,[],[65,72,387,3,2])).
% 194.94/194.96 cnf(400,plain,
% 194.94/194.96 (E(f6(x4001,x4002),f6(f6(x4001,a4),f6(x4002,a4)))),
% 194.94/194.96 inference(scs_inference,[],[217,2])).
% 194.94/194.96 cnf(404,plain,
% 194.94/194.96 (E(f2(f2(x4041,x4042),x4043),f2(f2(x4042,x4041),x4043))),
% 194.94/194.96 inference(scs_inference,[],[80,63,217,17,2,3,4])).
% 194.94/194.96 cnf(405,plain,
% 194.94/194.96 (~E(f2(a1,f6(a3,a3)),f2(f2(a3,a1),f6(a4,a1)))),
% 194.94/194.96 inference(scs_inference,[],[68,64,3])).
% 194.94/194.96 cnf(418,plain,
% 194.94/194.96 (~E(f2(f2(a3,a1),a1),f6(f6(a4,a3),a3))),
% 194.94/194.96 inference(scs_inference,[],[63,69,3])).
% 194.94/194.96 cnf(420,plain,
% 194.94/194.96 (E(f2(f2(a1,x4201),x4202),f2(f6(x4201,a4),x4202))),
% 194.94/194.96 inference(scs_inference,[],[63,69,265,3,2])).
% 194.94/194.96 cnf(422,plain,
% 194.94/194.96 (~E(f2(f2(a1,a3),a1),f2(f6(a3,a3),a1))),
% 194.94/194.96 inference(scs_inference,[],[404,93,405,2,3])).
% 194.94/194.96 cnf(430,plain,
% 194.94/194.96 (E(f6(x4301,f2(f5(x4302),x4302)),f6(x4301,a4))),
% 194.94/194.96 inference(scs_inference,[],[64,82,311,15,3,2,6,8,5,7])).
% 194.94/194.96 cnf(432,plain,
% 194.94/194.96 (~E(f6(a3,a3),f2(f2(a3,a1),f6(a4,a1)))),
% 194.94/194.96 inference(scs_inference,[],[64,74,422,2,3])).
% 194.94/194.96 cnf(440,plain,
% 194.94/194.96 (~E(f2(a1,f2(a3,a1)),f2(f6(x4401,f5(x4401)),f6(a3,a3)))),
% 194.94/194.96 inference(scs_inference,[],[82,243,3])).
% 194.94/194.96 cnf(443,plain,
% 194.94/194.96 (E(f6(f2(x4431,x4432),x4433),f6(f2(x4432,x4431),x4433))),
% 194.94/194.96 inference(scs_inference,[],[82,243,325,17,3,2,6])).
% 194.94/194.96 cnf(447,plain,
% 194.94/194.96 (~E(f2(f6(x4471,f5(x4471)),f6(a3,a3)),f2(a1,f2(a3,a1)))),
% 194.94/194.96 inference(scs_inference,[],[440,2])).
% 194.94/194.96 cnf(452,plain,
% 194.94/194.96 (E(f2(f5(x4521),x4521),f2(a4,a1))),
% 194.94/194.96 inference(rename_variables,[],[87])).
% 194.94/194.96 cnf(453,plain,
% 194.94/194.96 (E(f2(a4,a1),f2(f5(x4531),x4531))),
% 194.94/194.96 inference(scs_inference,[],[87,452,83,3,2])).
% 194.94/194.96 cnf(462,plain,
% 194.94/194.96 (E(f6(f2(x4621,a1),f5(x4621)),f6(x4622,f5(x4622)))),
% 194.94/194.96 inference(scs_inference,[],[78,75,432,2,3])).
% 194.94/194.96 cnf(464,plain,
% 194.94/194.96 (E(f2(f5(x4641),f2(x4641,a1)),f2(x4642,f5(x4642)))),
% 194.94/194.96 inference(scs_inference,[],[71,90,2,3])).
% 194.94/194.96 cnf(471,plain,
% 194.94/194.96 (~E(f6(f6(f2(a4,a1),f2(a4,a1)),f2(a3,a1)),f6(a3,a3))),
% 194.94/194.96 inference(scs_inference,[],[86,298,418,2,3])).
% 194.94/194.96 cnf(473,plain,
% 194.94/194.96 (E(f6(x4731,f5(x4731)),f6(f2(x4732,a1),f5(x4732)))),
% 194.94/194.96 inference(scs_inference,[],[462,2])).
% 194.94/194.96 cnf(476,plain,
% 194.94/194.96 (E(f6(f2(a1,x4761),f5(x4761)),a1)),
% 194.94/194.96 inference(scs_inference,[],[75,443,471,2,3])).
% 194.94/194.96 cnf(480,plain,
% 194.94/194.96 (~E(f2(f6(a4,a1),f6(a3,a3)),f2(a3,a1))),
% 194.94/194.96 inference(scs_inference,[],[116,231,464,2,3])).
% 194.94/194.96 cnf(488,plain,
% 194.94/194.96 (E(f6(x4881,x4882),f6(f6(a4,a4),f6(f2(x4882,a1),x4881)))),
% 194.94/194.96 inference(scs_inference,[],[114,392,480,2,3])).
% 194.94/194.96 cnf(492,plain,
% 194.94/194.96 (E(f6(f2(x4921,a1),f5(x4921)),f6(f5(x4922),x4922))),
% 194.94/194.96 inference(scs_inference,[],[75,96,488,2,3])).
% 194.94/194.96 cnf(514,plain,
% 194.94/194.96 (E(f6(f5(x5141),x5141),f6(f2(x5142,a1),f5(x5142)))),
% 194.94/194.96 inference(scs_inference,[],[492,2])).
% 194.94/194.96 cnf(518,plain,
% 194.94/194.96 (E(f6(x5181,f5(x5181)),f6(f5(x5182),x5182))),
% 194.94/194.96 inference(scs_inference,[],[96,14,3])).
% 194.94/194.96 cnf(520,plain,
% 194.94/194.96 (E(f6(f5(x5201),x5201),f6(x5202,f5(x5202)))),
% 194.94/194.96 inference(scs_inference,[],[518,2])).
% 194.94/194.96 cnf(613,plain,
% 194.94/194.96 (E(f6(f5(f6(x6131,x6132)),f6(x6132,x6131)),f2(a1,a1))),
% 194.94/194.96 inference(scs_inference,[],[114,102,3])).
% 194.94/194.96 cnf(617,plain,
% 194.94/194.96 (~E(f6(a3,f2(f6(a4,a4),a1)),f6(a3,a3))),
% 194.94/194.96 inference(scs_inference,[],[122,206,3])).
% 194.94/194.96 cnf(620,plain,
% 194.94/194.96 (~E(f2(f6(a4,a4),a1),a3)),
% 194.94/194.96 inference(scs_inference,[],[122,613,206,3,2,7])).
% 194.94/194.96 cnf(621,plain,
% 194.94/194.96 (E(f2(f6(x6211,x6212),x6213),f2(f6(x6212,x6211),f2(x6213,a1)))),
% 194.94/194.96 inference(scs_inference,[],[116,158,3])).
% 194.94/194.96 cnf(628,plain,
% 194.94/194.96 (E(f2(f6(x6281,x6282),f2(x6283,a1)),f2(f6(x6282,x6281),x6283))),
% 194.94/194.96 inference(scs_inference,[],[114,520,621,3,2])).
% 194.94/194.96 cnf(638,plain,
% 194.94/194.96 (~E(f6(a3,f6(f2(a3,a1),a4)),f6(a3,a4))),
% 194.94/194.96 inference(scs_inference,[],[126,281,3])).
% 194.94/194.96 cnf(642,plain,
% 194.94/194.96 (E(f6(f2(x6421,x6422),x6423),f2(f2(f6(x6423,x6421),a1),f6(x6423,x6422)))),
% 194.94/194.96 inference(scs_inference,[],[107,185,3])).
% 194.94/194.96 cnf(644,plain,
% 194.94/194.96 (~E(a3,f2(f6(a4,a4),a1))),
% 194.94/194.96 inference(scs_inference,[],[107,185,620,3,2])).
% 194.94/194.96 cnf(647,plain,
% 194.94/194.96 (E(x6471,f6(f2(x6471,a1),f2(a4,a1)))),
% 194.94/194.96 inference(scs_inference,[],[108,125,127,3,2])).
% 194.94/194.96 cnf(650,plain,
% 194.94/194.96 (~E(f6(a3,a4),f6(a3,f6(f2(a3,a1),a4)))),
% 194.94/194.96 inference(scs_inference,[],[108,219,638,3,2])).
% 194.94/194.96 cnf(654,plain,
% 194.94/194.96 (~E(a4,f6(f2(a3,a1),a4))),
% 194.94/194.96 inference(scs_inference,[],[125,642,234,650,3,2,7])).
% 194.94/194.96 cnf(655,plain,
% 194.94/194.96 (E(f6(f2(f2(a4,a1),a1),f2(a4,a1)),f2(f5(x6551),x6551))),
% 194.94/194.96 inference(scs_inference,[],[127,453,3])).
% 194.94/194.96 cnf(660,plain,
% 194.94/194.96 (E(f2(f5(x6601),x6601),f6(f2(f2(a4,a1),a1),f2(a4,a1)))),
% 194.94/194.96 inference(scs_inference,[],[129,655,647,3,2])).
% 194.94/194.96 cnf(665,plain,
% 194.94/194.96 (~E(f6(a3,a3),f2(f6(a4,a3),f6(a1,a4)))),
% 194.94/194.96 inference(scs_inference,[],[131,116,3])).
% 194.94/194.96 cnf(670,plain,
% 194.94/194.96 (~E(f2(f6(a4,a3),f6(a1,a4)),f6(a3,a3))),
% 194.94/194.96 inference(scs_inference,[],[126,665,288,3,2])).
% 194.94/194.96 cnf(671,plain,
% 194.94/194.96 (E(f6(f6(x6711,x6712),f2(a1,x6713)),f6(f6(x6712,x6711),x6713))),
% 194.94/194.96 inference(scs_inference,[],[115,253,3])).
% 194.94/194.96 cnf(680,plain,
% 194.94/194.96 (E(f6(f6(x6801,x6802),x6803),f6(f6(x6802,x6801),f2(a1,x6803)))),
% 194.94/194.96 inference(scs_inference,[],[133,131,671,3,2])).
% 194.94/194.96 cnf(681,plain,
% 194.94/194.96 (E(f6(x6811,f2(x6812,x6813)),f2(f6(x6812,x6811),f6(x6811,x6813)))),
% 194.94/194.96 inference(scs_inference,[],[116,130,3])).
% 194.94/194.96 cnf(687,plain,
% 194.94/194.96 (E(f2(f6(x6871,x6872),f6(x6872,x6873)),f6(x6872,f2(x6871,x6873)))),
% 194.94/194.96 inference(scs_inference,[],[134,127,681,3,2])).
% 194.94/194.96 cnf(695,plain,
% 194.94/194.96 (~E(f6(a3,a3),f2(f6(a3,a4),a1))),
% 194.94/194.96 inference(scs_inference,[],[136,131,3])).
% 194.94/194.96 cnf(716,plain,
% 194.94/194.96 (~E(f2(f6(a3,a4),a1),f6(a3,a3))),
% 194.94/194.96 inference(scs_inference,[],[122,125,695,3,2])).
% 194.94/194.96 cnf(772,plain,
% 194.94/194.96 (E(f2(f5(x7721),x7721),f2(f6(a4,a4),a1))),
% 194.94/194.96 inference(scs_inference,[],[142,660,3])).
% 194.94/194.96 cnf(780,plain,
% 194.94/194.96 (E(f2(f6(a4,a4),a1),f2(f5(x7801),x7801))),
% 194.94/194.96 inference(scs_inference,[],[135,138,772,3,2])).
% 194.94/194.96 cnf(804,plain,
% 194.94/194.96 (~E(f2(f6(x8041,f5(x8041)),f6(a3,a3)),f2(a1,a3))),
% 194.94/194.96 inference(scs_inference,[],[158,447,3])).
% 194.94/194.96 cnf(807,plain,
% 194.94/194.96 (~E(f2(f2(a1,a3),f2(a1,a1)),f6(a3,a3))),
% 194.94/194.96 inference(scs_inference,[],[139,158,3])).
% 194.94/194.96 cnf(809,plain,
% 194.94/194.96 (~E(f2(a1,a3),f2(f6(x8091,f5(x8091)),f6(a3,a3)))),
% 194.94/194.96 inference(scs_inference,[],[139,158,804,3,2])).
% 194.94/194.96 cnf(810,plain,
% 194.94/194.96 (E(f2(f6(x8101,x8102),f2(x8103,a1)),f6(f2(x8102,x8103),f2(x8101,x8103)))),
% 194.94/194.96 inference(scs_inference,[],[141,628,3])).
% 194.94/194.96 cnf(816,plain,
% 194.94/194.96 (~E(f6(a3,a3),f2(f2(a1,a3),f2(a1,a1)))),
% 194.94/194.96 inference(scs_inference,[],[151,807,473,3,2])).
% 194.94/194.96 cnf(819,plain,
% 194.94/194.96 (E(f6(f2(x8191,x8192),f2(x8193,x8192)),f2(f6(x8193,x8191),f2(x8192,a1)))),
% 194.94/194.96 inference(scs_inference,[],[161,158,810,3,2])).
% 194.94/194.96 cnf(843,plain,
% 194.94/194.96 (~E(a4,f6(a3,a4))),
% 194.94/194.96 inference(scs_inference,[],[166,654,3])).
% 194.94/194.96 cnf(918,plain,
% 194.94/194.96 (E(x9181,f2(f6(x9181,a4),f2(a1,a1)))),
% 194.94/194.96 inference(scs_inference,[],[171,177,3])).
% 194.94/194.96 cnf(936,plain,
% 194.94/194.96 (~E(a3,f2(f6(a3,a3),f6(a3,a1)))),
% 194.94/194.96 inference(scs_inference,[],[183,687,3])).
% 194.94/194.96 cnf(984,plain,
% 194.94/194.96 (E(x9841,f2(f6(x9841,a4),f6(a4,a1)))),
% 194.94/194.96 inference(scs_inference,[],[188,177,3])).
% 194.94/194.96 cnf(988,plain,
% 194.94/194.96 (E(f2(x9881,x9882),f2(f2(f6(x9881,a4),f6(a4,a1)),x9882))),
% 194.94/194.96 inference(scs_inference,[],[188,177,197,3,2,6,4])).
% 194.94/194.96 cnf(1001,plain,
% 194.94/194.96 (E(f2(f2(f6(x10011,a4),f6(a4,a1)),x10012),f2(x10011,x10012))),
% 194.94/194.96 inference(scs_inference,[],[195,988,984,3,2])).
% 194.94/194.96 cnf(1013,plain,
% 194.94/194.96 (E(f6(f6(a4,x10131),x10132),f6(f2(x10131,a1),x10132))),
% 194.94/194.96 inference(scs_inference,[],[177,196,617,3,2,6])).
% 194.94/194.96 cnf(1063,plain,
% 194.94/194.96 (E(f2(f6(a4,a4),a1),f2(f5(x10631),f6(a4,x10631)))),
% 194.94/194.96 inference(scs_inference,[],[188,780,3])).
% 194.94/194.96 cnf(1070,plain,
% 194.94/194.96 (~E(f2(f6(a3,a4),f2(a1,a1)),f6(f2(a3,a1),a3))),
% 194.94/194.96 inference(scs_inference,[],[197,918,3])).
% 194.94/194.96 cnf(1072,plain,
% 194.94/194.96 (E(f2(f5(x10721),f6(a4,x10721)),f2(f6(a4,a4),a1))),
% 194.94/194.96 inference(scs_inference,[],[197,1063,918,3,2])).
% 194.94/194.96 cnf(1074,plain,
% 194.94/194.96 (E(f6(x10741,x10742),f6(f2(f6(x10741,a4),a1),f6(a4,x10742)))),
% 194.94/194.96 inference(scs_inference,[],[189,203,1070,2,3])).
% 194.94/194.96 cnf(1078,plain,
% 194.94/194.96 (~E(f2(a1,f2(a3,a1)),f2(f6(f6(a3,a3),a4),f2(a1,a1)))),
% 194.94/194.96 inference(scs_inference,[],[190,207,1013,2,3])).
% 194.94/194.96 cnf(1081,plain,
% 194.94/194.96 (~E(f2(f6(a3,a4),f6(a4,a1)),f6(f2(a3,a1),a3))),
% 194.94/194.96 inference(scs_inference,[],[197,1078,984,2,3])).
% 194.94/194.96 cnf(1088,plain,
% 194.94/194.96 (~E(a3,f2(f5(x10881),f6(a4,x10881)))),
% 194.94/194.96 inference(scs_inference,[],[644,1081,1072,2,3])).
% 194.94/194.96 cnf(1109,plain,
% 194.94/194.96 (~E(f2(a1,f2(f6(a4,a4),a1)),a3)),
% 194.94/194.96 inference(scs_inference,[],[205,214,3])).
% 194.94/194.96 cnf(1127,plain,
% 194.94/194.96 (~E(f2(f6(a4,a3),f6(a1,a4)),f6(f6(a3,a4),f6(a3,a4)))),
% 194.94/194.96 inference(scs_inference,[],[217,670,1109,2,3])).
% 194.94/194.96 cnf(1132,plain,
% 194.94/194.96 (~E(f6(f6(a3,a4),f6(a3,a4)),f2(f6(a4,a3),f6(a1,a4)))),
% 194.94/194.96 inference(scs_inference,[],[1127,2])).
% 194.94/194.96 cnf(1133,plain,
% 194.94/194.96 (E(f2(x11331,x11332),f6(f2(f2(a4,x11332),a1),f2(x11331,x11332)))),
% 194.94/194.96 inference(scs_inference,[],[202,219,1127,2,3])).
% 194.94/194.97 cnf(1138,plain,
% 194.94/194.97 (E(f6(f2(f2(a4,x11381),a1),f2(x11382,x11381)),f2(x11382,x11381))),
% 194.94/194.97 inference(scs_inference,[],[219,1132,1133,3,2])).
% 194.94/194.97 cnf(1145,plain,
% 194.94/194.97 (~E(a3,f2(f5(f6(x11451,a4)),x11451))),
% 194.94/194.97 inference(scs_inference,[],[339,1088,3])).
% 194.94/194.97 cnf(1149,plain,
% 194.94/194.97 (~E(f2(f6(a3,a4),f2(f6(a1,a4),a1)),f6(a3,a3))),
% 194.94/194.97 inference(scs_inference,[],[205,716,3])).
% 194.94/194.97 cnf(1155,plain,
% 194.94/194.97 (~E(f6(a3,a3),f2(f6(a3,a4),f2(f6(a1,a4),a1)))),
% 194.94/194.97 inference(scs_inference,[],[220,1149,400,3,2])).
% 194.94/194.97 cnf(1163,plain,
% 194.94/194.97 (E(x11631,f6(f6(x11631,a4),f2(a1,a4)))),
% 194.94/194.97 inference(scs_inference,[],[212,680,1074,2,3])).
% 194.94/194.97 cnf(1166,plain,
% 194.94/194.97 (E(f2(x11661,x11662),f2(x11661,f6(f6(x11662,a4),f2(a1,a4))))),
% 194.94/194.97 inference(scs_inference,[],[212,680,1074,2,3,5])).
% 194.94/194.97 cnf(1170,plain,
% 194.94/194.97 (E(f6(x11701,x11702),f6(x11701,f6(f6(x11702,a4),f2(a1,a4))))),
% 194.94/194.97 inference(scs_inference,[],[212,680,1074,2,3,5,6,4,8,7])).
% 194.94/194.97 cnf(1174,plain,
% 194.94/194.97 (~E(f2(f6(a4,a3),a1),f2(f6(a1,a4),f6(a3,a3)))),
% 194.94/194.97 inference(scs_inference,[],[225,219,1170,2,3])).
% 194.94/194.97 cnf(1177,plain,
% 194.94/194.97 (E(f6(f2(x11771,x11772),f2(x11773,x11772)),f2(f6(a4,f6(x11773,x11771)),f2(x11772,a1)))),
% 194.94/194.97 inference(scs_inference,[],[219,1174,819,2,3])).
% 194.94/194.97 cnf(1192,plain,
% 194.94/194.97 (~E(f2(f6(f6(a4,a3),a4),f6(a1,a4)),f2(f6(a3,a3),a1))),
% 194.94/194.97 inference(scs_inference,[],[230,224,1166,2,3])).
% 194.94/194.97 cnf(1195,plain,
% 194.94/194.97 (E(f6(a4,x11951),f6(x11951,f2(a1,a4)))),
% 194.94/194.97 inference(scs_inference,[],[220,1192,1163,2,3])).
% 194.94/194.97 cnf(1211,plain,
% 194.94/194.97 (~E(f2(f6(f6(a4,a1),a4),f6(a3,a3)),f2(a1,f2(a3,a1)))),
% 194.94/194.97 inference(scs_inference,[],[227,230,1177,2,3])).
% 194.94/194.97 cnf(1214,plain,
% 194.94/194.97 (E(f2(f2(a1,x12141),f6(f6(a4,x12142),a4)),f2(x12141,x12142))),
% 194.94/194.97 inference(scs_inference,[],[222,229,1211,2,3])).
% 194.94/194.97 cnf(1233,plain,
% 194.94/194.97 (E(a1,f6(f2(a1,x12331),f5(x12331)))),
% 194.94/194.97 inference(scs_inference,[],[476,2])).
% 194.94/194.97 cnf(1237,plain,
% 194.94/194.97 (E(x12371,f2(a1,f6(a4,x12371)))),
% 194.94/194.97 inference(scs_inference,[],[60,43,936,2,3])).
% 194.94/194.97 cnf(1244,plain,
% 194.94/194.97 (E(f2(f6(x12441,a4),f6(a4,a1)),x12441)),
% 194.94/194.97 inference(scs_inference,[],[984,2])).
% 194.94/194.97 cnf(1254,plain,
% 194.94/194.97 (~E(f2(a1,a3),f6(a3,f2(f5(a3),a3)))),
% 194.94/194.97 inference(scs_inference,[],[130,809,1145,2,3])).
% 194.94/194.97 cnf(1265,plain,
% 194.94/194.97 (~E(f2(a1,a3),f2(f5(a4),f6(a3,a3)))),
% 194.94/194.97 inference(scs_inference,[],[219,809,1214,2,3])).
% 194.94/194.97 cnf(1276,plain,
% 194.94/194.97 (~E(f6(a3,a4),a4)),
% 194.94/194.97 inference(scs_inference,[],[843,2])).
% 194.94/194.97 cnf(1366,plain,
% 194.94/194.97 (~E(f6(a4,f2(a1,f6(a3,a3))),f2(a1,a3))),
% 194.94/194.97 inference(scs_inference,[],[60,283,1195,2,3])).
% 194.94/194.97 cnf(1380,plain,
% 194.94/194.97 (~E(f6(a4,f6(a3,a4)),a4)),
% 194.94/194.97 inference(scs_inference,[],[60,1276,1366,2,3])).
% 194.94/194.97 cnf(1429,plain,
% 194.94/194.97 (~E(f6(a4,f6(a3,a3)),f2(f2(a1,a3),f2(a1,a1)))),
% 194.94/194.97 inference(scs_inference,[],[60,816,1265,2,3])).
% 194.94/194.97 cnf(1431,plain,
% 194.94/194.97 (E(f2(a1,f6(a4,x14311)),x14311)),
% 194.94/194.97 inference(scs_inference,[],[1237,2])).
% 194.94/194.97 cnf(1441,plain,
% 194.94/194.97 (E(f6(x14411,f2(a1,f6(a4,x14412))),f6(x14411,x14412))),
% 194.94/194.97 inference(scs_inference,[],[9,453,1431,1429,2,3,4,8,7])).
% 194.94/194.97 cnf(1543,plain,
% 194.94/194.97 (E(f2(f2(a1,x15431),a1),f6(x15431,a4))),
% 194.94/194.97 inference(scs_inference,[],[9,420,1380,2,3])).
% 194.94/194.97 cnf(1547,plain,
% 194.94/194.97 (E(f2(a1,a1),f6(f2(a1,x15471),f5(x15471)))),
% 194.94/194.97 inference(scs_inference,[],[9,1233,1543,2,3])).
% 194.94/194.97 cnf(1552,plain,
% 194.94/194.97 (E(f6(f2(a1,x15521),f5(x15521)),f2(a1,a1))),
% 194.94/194.97 inference(scs_inference,[],[1547,2])).
% 194.94/194.97 cnf(1645,plain,
% 194.94/194.97 (E(f6(f2(f2(a4,a1),a1),f2(x16451,a1)),x16451)),
% 194.94/194.97 inference(scs_inference,[],[9,1138,269,2,3])).
% 194.94/194.97 cnf(1667,plain,
% 194.94/194.97 (~E(f6(a3,f2(f5(a3),a3)),f2(a1,a3))),
% 194.94/194.97 inference(scs_inference,[],[1254,2])).
% 194.94/194.97 cnf(1692,plain,
% 194.94/194.97 (~E(f6(a3,a3),f2(f2(f6(f6(a3,a4),a4),f6(a4,a1)),f2(f6(a1,a4),a1)))),
% 194.94/194.97 inference(scs_inference,[],[1001,1155,1645,2,3])).
% 194.94/194.97 cnf(1730,plain,
% 194.94/194.97 (E(f6(x17301,f6(f2(a1,x17302),f5(x17302))),f6(x17301,f2(a1,a1)))),
% 194.94/194.97 inference(scs_inference,[],[1552,514,1244,1692,2,3,7])).
% 194.94/194.97 cnf(3145,plain,
% 194.94/194.97 (E(f6(x31451,f2(f2(x31452,a1),x31453)),f6(x31451,f2(x31452,x31453)))),
% 194.94/194.97 inference(scs_inference,[],[31,8,6,5,4,7])).
% 194.94/194.97 cnf(3286,plain,
% 194.94/194.97 (E(f6(x32861,f2(f2(a1,a1),f6(a4,x32862))),f6(x32861,x32862))),
% 194.94/194.97 inference(scs_inference,[],[1441,1730,3145,2,3])).
% 194.94/194.97 cnf(3294,plain,
% 194.94/194.97 ($false),
% 194.94/194.97 inference(scs_inference,[],[1667,3286,430,259,2,3]),
% 194.94/194.97 ['proof']).
% 194.94/194.97 % SZS output end Proof
% 194.94/194.97 % Total time :194.280000s
%------------------------------------------------------------------------------