%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : BOO004-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : Mon Jun 24 04:35:43 EDT 2024
% Result : Unsatisfiable 1.27s 1.49s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : BOO004-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Jun 18 19:23:53 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.52 start to proof:theBenchmark
% 1.27/1.48 %-------------------------------------------
% 1.27/1.48 % File :CSE---1.7
% 1.27/1.48 % Problem :theBenchmark
% 1.27/1.48 % Transform :cnf
% 1.27/1.48 % Format :tptp:raw
% 1.27/1.48 % Command :java -jar mcs_scs.jar %d %s
% 1.27/1.48
% 1.27/1.48 % Result :Theorem 0.810000s
% 1.27/1.48 % Output :CNFRefutation 0.810000s
% 1.27/1.48 %-------------------------------------------
% 1.27/1.49 %--------------------------------------------------------------------------
% 1.27/1.49 % File : BOO004-1 : TPTP v8.2.0. Released v1.0.0.
% 1.27/1.49 % Domain : Boolean Algebra
% 1.27/1.49 % Problem : Addition is idempotent (X + X = X)
% 1.27/1.49 % Version : [MOW76] axioms.
% 1.27/1.49 % English :
% 1.27/1.49
% 1.27/1.49 % Refs : [Whi61] Whitesitt (1961), Boolean Algebra and Its Applications
% 1.27/1.49 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 1.27/1.49 % : [OMW76] Overbeek et al. (1976), Complexity and Related Enhance
% 1.27/1.49 % Source : [MOW76]
% 1.27/1.49 % Names : B2 part 2 [MOW76]
% 1.27/1.49 % : Lemma proved [OMW76]
% 1.27/1.49 % : prob2_part2.ver1 [ANL]
% 1.27/1.49
% 1.27/1.49 % Status : Unsatisfiable
% 1.27/1.49 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 1.27/1.49 % Syntax : Number of clauses : 23 ( 11 unt; 0 nHn; 13 RR)
% 1.27/1.49 % Number of literals : 61 ( 2 equ; 39 neg)
% 1.27/1.49 % Maximal clause size : 5 ( 2 avg)
% 1.27/1.49 % Maximal term depth : 2 ( 1 avg)
% 1.27/1.49 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 1.27/1.49 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 1.27/1.49 % Number of variables : 82 ( 0 sgn)
% 1.27/1.49 % SPC : CNF_UNS_RFO_SEQ_HRN
% 1.27/1.49
% 1.27/1.49 % Comments :
% 1.27/1.49 %--------------------------------------------------------------------------
% 1.27/1.49 %----Include boolean algebra axioms
% 1.27/1.49 include('Axioms/BOO002-0.ax').
% 1.27/1.49 %--------------------------------------------------------------------------
% 1.27/1.49 cnf(prove_both_equalities,negated_conjecture,
% 1.27/1.49 ~ sum(x,x,x) ).
% 1.27/1.49
% 1.27/1.49 %--------------------------------------------------------------------------
% 1.27/1.49 %-------------------------------------------
% 1.27/1.49 % Proof found
% 1.27/1.49 % SZS status Theorem for theBenchmark
% 1.27/1.49 % SZS output start Proof
% 1.27/1.49 %ClaNum:37(EqnAxiom:14)
% 1.27/1.49 %VarNum:172(SingletonVarNum:82)
% 1.27/1.49 %MaxLitNum:5
% 1.27/1.49 %MaxfuncDepth:1
% 1.27/1.49 %SharedTerms:4
% 1.27/1.49 %goalClause: 25
% 1.27/1.49 %singleGoalClaCount:1
% 1.27/1.49 [25]~P1(a6,a6,a6)
% 1.27/1.49 [15]P1(x151,a1,x151)
% 1.27/1.49 [16]P2(x161,a3,x161)
% 1.27/1.49 [17]P1(a1,x171,x171)
% 1.27/1.49 [18]P2(a3,x181,x181)
% 1.27/1.49 [19]P1(x191,f4(x191),a3)
% 1.27/1.49 [20]P2(x201,f4(x201),a1)
% 1.27/1.49 [21]P1(f4(x211),x211,a3)
% 1.27/1.49 [22]P2(f4(x221),x221,a1)
% 1.27/1.49 [23]P1(x231,x232,f2(x231,x232))
% 1.27/1.49 [24]P2(x241,x242,f5(x241,x242))
% 1.27/1.49 [26]~P1(x262,x261,x263)+P1(x261,x262,x263)
% 1.27/1.49 [27]~P2(x272,x271,x273)+P2(x271,x272,x273)
% 1.27/1.49 [28]~P1(x283,x284,x281)+E(x281,x282)+~P1(x283,x284,x282)
% 1.27/1.49 [29]~P2(x293,x294,x291)+E(x291,x292)+~P2(x293,x294,x292)
% 1.31/1.49 [30]~P2(x307,x305,x303)+~P2(x306,x304,x301)+P1(x301,x302,x303)+~P1(x304,x302,x305)+~P1(x306,x302,x307)
% 1.31/1.49 [31]~P2(x317,x315,x312)+~P2(x317,x314,x311)+P1(x311,x312,x313)+~P1(x314,x315,x316)+~P2(x317,x316,x313)
% 1.31/1.49 [32]~P2(x325,x327,x322)+~P2(x324,x327,x321)+P1(x321,x322,x323)+~P1(x324,x325,x326)+~P2(x326,x327,x323)
% 1.31/1.49 [33]~P2(x337,x335,x333)+~P2(x336,x334,x332)+P1(x331,x332,x333)+~P1(x331,x334,x335)+~P1(x331,x336,x337)
% 1.31/1.49 [34]~P2(x347,x342,x345)+~P2(x346,x342,x344)+P2(x341,x342,x343)+~P1(x344,x345,x343)+~P1(x346,x347,x341)
% 1.31/1.49 [35]~P2(x357,x356,x354)+P2(x351,x352,x353)+~P1(x354,x355,x353)+~P1(x356,x355,x352)+~P1(x357,x355,x351)
% 1.31/1.49 [36]~P2(x367,x366,x365)+P2(x361,x362,x363)+~P1(x364,x365,x363)+~P1(x364,x366,x362)+~P1(x364,x367,x361)
% 1.31/1.49 [37]~P2(x371,x377,x375)+~P2(x371,x376,x374)+P2(x371,x372,x373)+~P1(x374,x375,x373)+~P1(x376,x377,x372)
% 1.31/1.49 %EqnAxiom
% 1.31/1.49 [1]E(x11,x11)
% 1.31/1.49 [2]E(x22,x21)+~E(x21,x22)
% 1.31/1.49 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.31/1.49 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 1.31/1.49 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 1.31/1.49 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 1.31/1.49 [7]~E(x71,x72)+E(f2(x71,x73),f2(x72,x73))
% 1.31/1.49 [8]~E(x81,x82)+E(f2(x83,x81),f2(x83,x82))
% 1.31/1.49 [9]P1(x92,x93,x94)+~E(x91,x92)+~P1(x91,x93,x94)
% 1.31/1.49 [10]P1(x103,x102,x104)+~E(x101,x102)+~P1(x103,x101,x104)
% 1.31/1.49 [11]P1(x113,x114,x112)+~E(x111,x112)+~P1(x113,x114,x111)
% 1.31/1.49 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 1.31/1.49 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 1.31/1.49 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 1.31/1.49
% 1.31/1.49 %-------------------------------------------
% 1.31/1.50 cnf(38,plain,
% 1.31/1.50 (~E(a1,a6)),
% 1.31/1.50 inference(scs_inference,[],[25,17,9])).
% 1.31/1.50 cnf(39,plain,
% 1.31/1.50 (P1(a1,x391,x391)),
% 1.31/1.50 inference(rename_variables,[],[17])).
% 1.31/1.50 cnf(40,plain,
% 1.31/1.50 (E(x401,f2(x401,a1))),
% 1.31/1.50 inference(scs_inference,[],[25,15,17,23,9,28])).
% 1.31/1.50 cnf(41,plain,
% 1.31/1.50 (P1(x411,x412,f2(x411,x412))),
% 1.31/1.50 inference(rename_variables,[],[23])).
% 1.31/1.50 cnf(43,plain,
% 1.31/1.50 (E(x431,f5(x431,a3))),
% 1.31/1.50 inference(scs_inference,[],[25,15,16,17,23,24,9,28,29])).
% 1.31/1.50 cnf(44,plain,
% 1.31/1.50 (P2(x441,x442,f5(x441,x442))),
% 1.31/1.50 inference(rename_variables,[],[24])).
% 1.31/1.50 cnf(46,plain,
% 1.31/1.50 (E(x461,f2(f5(x461,a3),a1))),
% 1.31/1.50 inference(scs_inference,[],[25,15,16,17,23,24,9,28,29,3])).
% 1.31/1.50 cnf(47,plain,
% 1.31/1.50 (P1(f5(a1,a3),f5(a1,a3),f5(a1,a3))),
% 1.31/1.50 inference(scs_inference,[],[25,15,16,17,23,24,9,28,29,3,10])).
% 1.31/1.50 cnf(48,plain,
% 1.31/1.50 (P1(x481,a1,x481)),
% 1.31/1.50 inference(rename_variables,[],[15])).
% 1.31/1.50 cnf(50,plain,
% 1.31/1.50 (P1(a1,x501,x501)),
% 1.31/1.50 inference(rename_variables,[],[17])).
% 1.31/1.50 cnf(52,plain,
% 1.31/1.50 (P2(x521,a3,x521)),
% 1.31/1.50 inference(rename_variables,[],[16])).
% 1.31/1.50 cnf(54,plain,
% 1.31/1.50 (P2(a3,x541,x541)),
% 1.31/1.50 inference(rename_variables,[],[18])).
% 1.31/1.50 cnf(56,plain,
% 1.31/1.50 (P2(x561,a3,x561)),
% 1.31/1.50 inference(rename_variables,[],[16])).
% 1.31/1.50 cnf(57,plain,
% 1.31/1.50 (P1(f5(a1,x571),f4(x571),f4(x571))),
% 1.31/1.50 inference(scs_inference,[],[25,15,16,52,56,17,39,50,18,23,24,44,19,9,28,29,3,10,11,12,13,14,30])).
% 1.31/1.50 cnf(60,plain,
% 1.31/1.50 (P2(x601,a3,x601)),
% 1.31/1.50 inference(rename_variables,[],[16])).
% 1.31/1.50 cnf(61,plain,
% 1.31/1.50 (P2(x611,x612,f5(x611,x612))),
% 1.31/1.50 inference(rename_variables,[],[24])).
% 1.31/1.50 cnf(63,plain,
% 1.31/1.50 (~P1(a3,a3,a3)),
% 1.31/1.50 inference(scs_inference,[],[25,15,16,52,56,60,17,39,50,18,23,24,44,19,9,28,29,3,10,11,12,13,14,30,31])).
% 1.31/1.50 cnf(66,plain,
% 1.31/1.50 (P2(x661,a3,x661)),
% 1.31/1.50 inference(rename_variables,[],[16])).
% 1.31/1.50 cnf(68,plain,
% 1.31/1.50 (P1(a1,a1,f5(a1,a3))),
% 1.31/1.50 inference(scs_inference,[],[25,15,48,16,52,56,60,66,17,39,50,18,23,24,44,61,19,9,28,29,3,10,11,12,13,14,30,31,32])).
% 1.31/1.50 cnf(69,plain,
% 1.31/1.50 (P2(x691,x692,f5(x691,x692))),
% 1.31/1.50 inference(rename_variables,[],[24])).
% 1.31/1.50 cnf(71,plain,
% 1.31/1.50 (P2(x711,a3,x711)),
% 1.31/1.50 inference(rename_variables,[],[16])).
% 1.31/1.50 cnf(72,plain,
% 1.31/1.50 (P1(x721,a1,x721)),
% 1.31/1.50 inference(rename_variables,[],[15])).
% 1.31/1.50 cnf(74,plain,
% 1.31/1.50 (P1(a3,f5(a1,a1),a3)),
% 1.31/1.50 inference(scs_inference,[],[25,15,48,72,16,52,56,60,66,71,17,39,50,18,23,24,44,61,69,19,9,28,29,3,10,11,12,13,14,30,31,32,33])).
% 1.31/1.50 cnf(76,plain,
% 1.31/1.50 (P1(x761,a1,x761)),
% 1.31/1.50 inference(rename_variables,[],[15])).
% 1.31/1.50 cnf(77,plain,
% 1.31/1.50 (P2(x771,a3,x771)),
% 1.31/1.50 inference(rename_variables,[],[16])).
% 1.31/1.50 cnf(78,plain,
% 1.31/1.50 (P2(x781,x782,f5(x781,x782))),
% 1.31/1.50 inference(rename_variables,[],[24])).
% 1.31/1.50 cnf(80,plain,
% 1.31/1.50 (P2(a1,a3,f2(a1,a1))),
% 1.31/1.50 inference(scs_inference,[],[25,15,48,72,76,16,52,56,60,66,71,77,17,39,50,18,23,41,24,44,61,69,19,9,28,29,3,10,11,12,13,14,30,31,32,33,34])).
% 1.31/1.50 cnf(81,plain,
% 1.31/1.50 (P1(x811,x812,f2(x811,x812))),
% 1.31/1.50 inference(rename_variables,[],[23])).
% 1.31/1.50 cnf(82,plain,
% 1.31/1.50 (P1(x821,a1,x821)),
% 1.31/1.50 inference(rename_variables,[],[15])).
% 1.31/1.50 cnf(84,plain,
% 1.31/1.50 (P2(x841,a3,x841)),
% 1.31/1.50 inference(rename_variables,[],[16])).
% 1.31/1.50 cnf(86,plain,
% 1.31/1.50 (P2(f5(a1,a3),f5(a1,a3),f5(a1,a1))),
% 1.31/1.50 inference(scs_inference,[],[25,15,48,72,76,82,16,52,56,60,66,71,77,17,39,50,18,23,41,24,44,61,69,78,19,9,28,29,3,10,11,12,13,14,30,31,32,33,34,35])).
% 1.31/1.50 cnf(88,plain,
% 1.31/1.50 (P1(x881,a1,x881)),
% 1.31/1.50 inference(rename_variables,[],[15])).
% 1.31/1.50 cnf(90,plain,
% 1.31/1.50 (P2(x901,f2(x901,a3),x901)),
% 1.31/1.50 inference(scs_inference,[],[25,15,48,72,76,82,88,16,52,56,60,66,71,77,84,17,39,50,18,23,41,81,24,44,61,69,78,19,9,28,29,3,10,11,12,13,14,30,31,32,33,34,35,36])).
% 1.31/1.50 cnf(91,plain,
% 1.31/1.50 (P1(x911,x912,f2(x911,x912))),
% 1.31/1.50 inference(rename_variables,[],[23])).
% 1.31/1.50 cnf(92,plain,
% 1.31/1.50 (P2(x921,a3,x921)),
% 1.31/1.50 inference(rename_variables,[],[16])).
% 1.31/1.50 cnf(94,plain,
% 1.31/1.50 (P2(a3,a3,f2(a3,a1))),
% 1.31/1.50 inference(scs_inference,[],[25,15,48,72,76,82,88,16,52,56,60,66,71,77,84,92,17,39,50,18,54,23,41,81,91,24,44,61,69,78,19,9,28,29,3,10,11,12,13,14,30,31,32,33,34,35,36,37])).
% 1.31/1.50 cnf(100,plain,
% 1.31/1.50 (E(f2(f5(a1,a3),a1),f5(a1,a3))),
% 1.31/1.50 inference(scs_inference,[],[25,15,48,72,76,82,88,16,52,56,60,66,71,77,84,92,17,39,50,18,54,23,41,81,91,24,44,61,69,78,19,9,28,29,3,10,11,12,13,14,30,31,32,33,34,35,36,37,2])).
% 1.31/1.50 cnf(101,plain,
% 1.31/1.50 (E(f2(x1011,a1),x1011)),
% 1.31/1.50 inference(scs_inference,[],[40,2])).
% 1.31/1.50 cnf(102,plain,
% 1.31/1.50 (E(a3,f2(a3,a3))),
% 1.31/1.50 inference(scs_inference,[],[90,40,18,2,29])).
% 1.31/1.50 cnf(103,plain,
% 1.31/1.50 (P2(a3,x1031,x1031)),
% 1.31/1.50 inference(rename_variables,[],[18])).
% 1.31/1.50 cnf(104,plain,
% 1.31/1.50 (P2(x1041,f2(x1041,a3),x1041)),
% 1.31/1.50 inference(rename_variables,[],[90])).
% 1.31/1.50 cnf(109,plain,
% 1.31/1.50 (P2(f5(a1,a3),f2(f5(a1,a3),a1),f5(a1,a1))),
% 1.31/1.50 inference(scs_inference,[],[68,86,90,40,17,18,2,29,28,13])).
% 1.31/1.50 cnf(110,plain,
% 1.31/1.50 (E(x1101,f2(x1101,a1))),
% 1.31/1.50 inference(rename_variables,[],[40])).
% 1.31/1.50 cnf(111,plain,
% 1.31/1.50 (E(f2(f5(a1,a3),a1),a1)),
% 1.31/1.50 inference(scs_inference,[],[68,100,86,90,40,17,18,2,29,28,13,3])).
% 1.31/1.50 cnf(113,plain,
% 1.31/1.50 (E(x1131,f2(x1131,a1))),
% 1.31/1.50 inference(rename_variables,[],[40])).
% 1.31/1.50 cnf(114,plain,
% 1.31/1.50 (P2(f2(f5(a1,a3),a1),f5(a1,a3),f5(a1,a1))),
% 1.31/1.50 inference(scs_inference,[],[57,68,100,86,90,40,110,113,17,18,2,29,28,13,3,10,12])).
% 1.31/1.50 cnf(115,plain,
% 1.31/1.50 (E(x1151,f2(x1151,a1))),
% 1.31/1.50 inference(rename_variables,[],[40])).
% 1.31/1.50 cnf(117,plain,
% 1.31/1.50 (E(x1171,f2(x1171,a1))),
% 1.31/1.50 inference(rename_variables,[],[40])).
% 1.31/1.50 cnf(119,plain,
% 1.31/1.50 (E(x1191,f2(x1191,a1))),
% 1.31/1.50 inference(rename_variables,[],[40])).
% 1.31/1.50 cnf(122,plain,
% 1.31/1.50 (P1(f5(a1,a1),f5(a1,a1),f5(a1,a1))),
% 1.31/1.50 inference(scs_inference,[],[57,68,100,86,90,40,110,113,115,117,119,47,17,18,2,29,28,13,3,10,12,14,9,11,32])).
% 1.31/1.50 cnf(127,plain,
% 1.31/1.50 (P2(x1271,f2(x1271,a3),x1271)),
% 1.31/1.50 inference(rename_variables,[],[90])).
% 1.31/1.50 cnf(129,plain,
% 1.31/1.50 (P2(f4(a3),f4(a3),f2(f5(a1,a1),f4(a3)))),
% 1.31/1.50 inference(scs_inference,[],[57,63,68,100,86,90,104,40,110,113,115,117,119,47,17,18,103,23,2,29,28,13,3,10,12,14,9,11,32,31,35])).
% 1.31/1.50 cnf(130,plain,
% 1.31/1.50 (P1(f5(a1,x1301),f4(x1301),f4(x1301))),
% 1.31/1.50 inference(rename_variables,[],[57])).
% 1.31/1.50 cnf(131,plain,
% 1.31/1.50 (P1(x1311,x1312,f2(x1311,x1312))),
% 1.31/1.50 inference(rename_variables,[],[23])).
% 1.31/1.50 cnf(133,plain,
% 1.31/1.50 (P2(f5(a1,a3),f5(a1,a3),f2(f5(a1,a3),f5(a1,a1)))),
% 1.31/1.50 inference(scs_inference,[],[57,63,68,100,86,90,104,40,110,113,115,117,119,47,17,18,103,23,131,2,29,28,13,3,10,12,14,9,11,32,31,35,36])).
% 1.31/1.50 cnf(136,plain,
% 1.31/1.50 (P2(f4(a1),f5(a1,a3),f5(a1,a3))),
% 1.31/1.50 inference(scs_inference,[],[57,63,68,100,86,90,104,40,110,113,115,117,119,47,22,17,18,103,23,131,2,29,28,13,3,10,12,14,9,11,32,31,35,36,37])).
% 1.31/1.50 cnf(139,plain,
% 1.31/1.50 (P1(a3,f5(f5(a1,a1),f5(a1,a1)),f2(a3,a1))),
% 1.31/1.50 inference(scs_inference,[],[57,63,68,74,100,86,90,104,40,110,113,115,117,119,47,22,94,17,18,103,23,131,24,2,29,28,13,3,10,12,14,9,11,32,31,35,36,37,33])).
% 1.31/1.50 cnf(140,plain,
% 1.31/1.50 (P2(x1401,x1402,f5(x1401,x1402))),
% 1.31/1.50 inference(rename_variables,[],[24])).
% 1.31/1.50 cnf(146,plain,
% 1.31/1.50 (P2(f5(a1,a3),f2(a1,a3),f5(a1,a3))),
% 1.31/1.50 inference(scs_inference,[],[57,130,63,68,74,100,86,90,104,127,40,110,113,115,117,119,47,22,94,17,18,103,23,131,24,140,2,29,28,13,3,10,12,14,9,11,32,31,35,36,37,33,30,34])).
% 1.31/1.50 cnf(149,plain,
% 1.31/1.50 (E(f5(x1491,a3),x1491)),
% 1.31/1.50 inference(scs_inference,[],[43,2])).
% 1.31/1.50 cnf(150,plain,
% 1.31/1.50 (E(f5(a1,a1),f2(f5(a1,a1),f5(a1,a1)))),
% 1.31/1.50 inference(scs_inference,[],[122,43,23,2,28])).
% 1.31/1.50 cnf(151,plain,
% 1.31/1.50 (P1(x1511,x1512,f2(x1511,x1512))),
% 1.31/1.50 inference(rename_variables,[],[23])).
% 1.31/1.50 cnf(154,plain,
% 1.31/1.50 (E(x1541,f5(x1541,a3))),
% 1.31/1.50 inference(rename_variables,[],[43])).
% 1.31/1.50 cnf(155,plain,
% 1.31/1.50 (E(f2(x1551,a1),f5(x1551,a3))),
% 1.31/1.50 inference(scs_inference,[],[122,146,43,154,101,23,2,28,13,3])).
% 1.31/1.50 cnf(156,plain,
% 1.31/1.50 (E(x1561,f5(x1561,a3))),
% 1.31/1.50 inference(rename_variables,[],[43])).
% 1.31/1.50 cnf(158,plain,
% 1.31/1.50 (E(x1581,f5(x1581,a3))),
% 1.31/1.50 inference(rename_variables,[],[43])).
% 1.31/1.50 cnf(160,plain,
% 1.31/1.50 (E(x1601,f5(x1601,a3))),
% 1.31/1.50 inference(rename_variables,[],[43])).
% 1.31/1.50 cnf(162,plain,
% 1.31/1.50 (E(x1621,f5(x1621,a3))),
% 1.31/1.50 inference(rename_variables,[],[43])).
% 1.31/1.50 cnf(164,plain,
% 1.31/1.50 (E(x1641,f5(x1641,a3))),
% 1.31/1.50 inference(rename_variables,[],[43])).
% 1.31/1.50 cnf(168,plain,
% 1.31/1.50 (P2(x1681,f4(x1681),a1)),
% 1.31/1.50 inference(rename_variables,[],[20])).
% 1.31/1.50 cnf(171,plain,
% 1.31/1.50 (P2(f4(f5(a1,a1)),f5(a1,a1),f2(a1,a1))),
% 1.31/1.50 inference(scs_inference,[],[122,146,43,154,156,158,160,162,164,101,129,20,19,22,23,151,2,28,13,3,14,12,10,9,11,32,37])).
% 1.31/1.50 cnf(172,plain,
% 1.31/1.50 (P1(x1721,x1722,f2(x1721,x1722))),
% 1.31/1.50 inference(rename_variables,[],[23])).
% 1.31/1.50 cnf(177,plain,
% 1.31/1.51 (P1(x1771,x1772,f2(x1771,x1772))),
% 1.31/1.51 inference(rename_variables,[],[23])).
% 1.31/1.51 cnf(179,plain,
% 1.31/1.51 (P1(a1,f5(a1,a1),f2(f5(a1,a3),f5(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[122,74,68,133,146,43,154,156,158,160,162,164,101,129,20,19,22,94,23,151,172,24,2,28,13,3,14,12,10,9,11,32,37,35,33])).
% 1.31/1.51 cnf(182,plain,
% 1.31/1.51 (P1(f2(a3,a1),f5(a1,a1),f2(a3,a1))),
% 1.31/1.51 inference(scs_inference,[],[122,74,68,133,146,43,154,156,158,160,162,164,101,129,20,19,22,94,23,151,172,24,2,28,13,3,14,12,10,9,11,32,37,35,33,30])).
% 1.31/1.51 cnf(184,plain,
% 1.31/1.51 (P2(f5(a1,a3),f4(a1),f5(a1,a3))),
% 1.31/1.51 inference(scs_inference,[],[122,74,68,133,146,43,154,156,158,160,162,164,101,129,20,168,19,22,94,17,23,151,172,24,2,28,13,3,14,12,10,9,11,32,37,35,33,30,36])).
% 1.31/1.51 cnf(186,plain,
% 1.31/1.51 (P2(x1861,f4(x1861),a1)),
% 1.31/1.51 inference(rename_variables,[],[20])).
% 1.31/1.51 cnf(188,plain,
% 1.31/1.51 (P2(f5(a1,a1),f4(f5(a1,a1)),f2(a1,a1))),
% 1.31/1.51 inference(scs_inference,[],[122,74,68,133,146,43,154,156,158,160,162,164,101,129,20,168,186,19,22,94,17,23,151,172,177,24,2,28,13,3,14,12,10,9,11,32,37,35,33,30,36,34])).
% 1.31/1.51 cnf(197,plain,
% 1.31/1.51 (E(f2(f5(a1,a3),f5(a1,a1)),f5(a1,a1))),
% 1.31/1.51 inference(scs_inference,[],[179,150,17,2,28])).
% 1.31/1.51 cnf(198,plain,
% 1.31/1.51 (P1(a1,x1981,x1981)),
% 1.31/1.51 inference(rename_variables,[],[17])).
% 1.31/1.51 cnf(201,plain,
% 1.31/1.51 (E(x2011,f2(f5(x2011,a3),a1))),
% 1.31/1.51 inference(rename_variables,[],[46])).
% 1.31/1.51 cnf(202,plain,
% 1.31/1.51 (~E(a1,f5(a6,a3))),
% 1.31/1.51 inference(scs_inference,[],[179,38,80,150,149,46,17,2,28,13,3])).
% 1.31/1.51 cnf(203,plain,
% 1.31/1.51 (E(f5(x2031,a3),x2031)),
% 1.31/1.51 inference(rename_variables,[],[149])).
% 1.31/1.51 cnf(206,plain,
% 1.31/1.51 (P1(f2(f5(a3,a3),a1),f5(a1,a1),a3)),
% 1.31/1.51 inference(scs_inference,[],[179,38,74,80,146,150,149,203,46,201,17,2,28,13,3,14,9])).
% 1.31/1.51 cnf(207,plain,
% 1.31/1.51 (E(x2071,f2(f5(x2071,a3),a1))),
% 1.31/1.51 inference(rename_variables,[],[46])).
% 1.31/1.51 cnf(209,plain,
% 1.31/1.51 (P2(f2(f5(a1,a3),a1),a3,f2(a1,a1))),
% 1.31/1.51 inference(scs_inference,[],[182,179,38,74,80,146,150,149,203,46,201,207,17,2,28,13,3,14,9,10,12])).
% 1.31/1.51 cnf(210,plain,
% 1.31/1.51 (E(x2101,f2(f5(x2101,a3),a1))),
% 1.31/1.51 inference(rename_variables,[],[46])).
% 1.31/1.51 cnf(213,plain,
% 1.31/1.51 (P1(f2(a1,a1),f2(a1,a1),f2(a1,a1))),
% 1.31/1.51 inference(scs_inference,[],[182,179,38,74,122,80,146,150,171,149,203,46,201,207,210,17,2,28,13,3,14,9,10,12,11,31])).
% 1.31/1.51 cnf(219,plain,
% 1.31/1.51 (P1(a1,f2(a1,a1),a1)),
% 1.31/1.51 inference(scs_inference,[],[182,179,38,74,122,68,80,146,150,188,171,149,203,46,201,207,210,20,15,17,23,2,28,13,3,14,9,10,12,11,31,35,32])).
% 1.31/1.51 cnf(222,plain,
% 1.31/1.51 (P2(a1,a1,f5(f2(a1,a1),f2(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[182,179,38,74,122,68,80,146,150,188,171,149,203,46,201,207,210,20,15,17,198,23,24,2,28,13,3,14,9,10,12,11,31,35,32,36])).
% 1.31/1.51 cnf(238,plain,
% 1.31/1.51 (E(f5(a1,a1),f2(f5(a1,a3),f5(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[197,2])).
% 1.31/1.51 cnf(239,plain,
% 1.31/1.51 (E(f4(x2391),f2(f5(a1,x2391),f4(x2391)))),
% 1.31/1.51 inference(scs_inference,[],[57,197,23,2,28])).
% 1.31/1.51 cnf(240,plain,
% 1.31/1.51 (P1(x2401,x2402,f2(x2401,x2402))),
% 1.31/1.51 inference(rename_variables,[],[23])).
% 1.31/1.51 cnf(244,plain,
% 1.31/1.51 (E(f2(x2441,a1),f5(x2441,a3))),
% 1.31/1.51 inference(rename_variables,[],[155])).
% 1.31/1.51 cnf(246,plain,
% 1.31/1.51 (E(f5(x2461,a3),x2461)),
% 1.31/1.51 inference(rename_variables,[],[149])).
% 1.31/1.51 cnf(247,plain,
% 1.31/1.51 (P2(a1,f2(a1,a3),f5(a1,a3))),
% 1.31/1.51 inference(scs_inference,[],[57,80,146,197,184,155,102,202,149,246,23,2,28,13,3,14,12])).
% 1.31/1.51 cnf(250,plain,
% 1.31/1.51 (E(f2(x2501,a1),f5(x2501,a3))),
% 1.31/1.51 inference(rename_variables,[],[155])).
% 1.31/1.51 cnf(251,plain,
% 1.31/1.51 (P1(f5(a1,a3),f2(a1,a1),f2(a1,a1))),
% 1.31/1.51 inference(scs_inference,[],[57,213,80,146,197,184,155,244,250,102,202,149,246,23,2,28,13,3,14,12,10,9])).
% 1.31/1.51 cnf(252,plain,
% 1.31/1.51 (E(f2(x2521,a1),f5(x2521,a3))),
% 1.31/1.51 inference(rename_variables,[],[155])).
% 1.31/1.51 cnf(255,plain,
% 1.31/1.51 (P1(a3,f2(a1,a1),a3)),
% 1.31/1.51 inference(scs_inference,[],[57,213,80,146,197,184,155,244,250,252,102,202,149,246,15,18,23,2,28,13,3,14,12,10,9,11,32])).
% 1.31/1.51 cnf(256,plain,
% 1.31/1.51 (P2(a3,x2561,x2561)),
% 1.31/1.51 inference(rename_variables,[],[18])).
% 1.31/1.51 cnf(257,plain,
% 1.31/1.51 (P1(x2571,a1,x2571)),
% 1.31/1.51 inference(rename_variables,[],[15])).
% 1.31/1.51 cnf(259,plain,
% 1.31/1.51 (P2(f5(a1,a3),f5(a1,a3),f5(f2(a1,a1),f2(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[57,213,68,80,146,197,184,155,244,250,252,222,102,202,149,246,15,257,18,23,2,28,13,3,14,12,10,9,11,32,35])).
% 1.31/1.51 cnf(260,plain,
% 1.31/1.51 (P1(x2601,a1,x2601)),
% 1.31/1.51 inference(rename_variables,[],[15])).
% 1.31/1.51 cnf(263,plain,
% 1.31/1.51 (P2(x2631,x2632,f5(x2631,x2632))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(266,plain,
% 1.31/1.51 (P2(a3,f4(a3),f5(a1,a3))),
% 1.31/1.51 inference(scs_inference,[],[57,213,68,80,146,197,184,155,244,250,252,222,102,202,149,246,20,15,257,260,18,256,23,240,24,2,28,13,3,14,12,10,9,11,32,35,31,37])).
% 1.31/1.51 cnf(267,plain,
% 1.31/1.51 (P1(x2671,a1,x2671)),
% 1.31/1.51 inference(rename_variables,[],[15])).
% 1.31/1.51 cnf(268,plain,
% 1.31/1.51 (P1(f5(a1,x2681),f4(x2681),f4(x2681))),
% 1.31/1.51 inference(rename_variables,[],[57])).
% 1.31/1.51 cnf(273,plain,
% 1.31/1.51 (P1(x2731,a1,x2731)),
% 1.31/1.51 inference(rename_variables,[],[15])).
% 1.31/1.51 cnf(274,plain,
% 1.31/1.51 (P1(f5(a1,x2741),f4(x2741),f4(x2741))),
% 1.31/1.51 inference(rename_variables,[],[57])).
% 1.31/1.51 cnf(275,plain,
% 1.31/1.51 (P2(f4(x2751),x2751,a1)),
% 1.31/1.51 inference(rename_variables,[],[22])).
% 1.31/1.51 cnf(277,plain,
% 1.31/1.51 (P2(f5(a1,a3),f2(f2(a1,a1),a3),f5(a1,a3))),
% 1.31/1.51 inference(scs_inference,[],[57,268,213,68,80,146,197,184,155,244,250,252,222,102,202,149,246,90,20,15,257,260,267,18,256,22,23,240,24,2,28,13,3,14,12,10,9,11,32,35,31,37,36,34])).
% 1.31/1.51 cnf(280,plain,
% 1.31/1.51 (P1(f5(a1,a1),a1,f5(f4(a1),f5(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[57,268,274,213,68,80,146,197,184,155,244,250,252,222,102,202,149,246,90,20,15,257,260,267,273,18,256,22,275,23,240,24,263,2,28,13,3,14,12,10,9,11,32,35,31,37,36,34,33])).
% 1.31/1.51 cnf(287,plain,
% 1.31/1.51 (E(f5(a1,a3),f5(f5(a1,a3),f2(a1,a3)))),
% 1.31/1.51 inference(scs_inference,[],[146,239,24,2,29])).
% 1.31/1.51 cnf(290,plain,
% 1.31/1.51 (E(f5(f4(a1),f5(a1,a1)),f5(a1,a1))),
% 1.31/1.51 inference(scs_inference,[],[280,146,239,15,24,2,29,28])).
% 1.31/1.51 cnf(294,plain,
% 1.31/1.51 (E(f2(a3,a1),f2(a3,a3))),
% 1.31/1.51 inference(scs_inference,[],[280,146,109,239,111,101,102,15,24,2,29,28,13,3])).
% 1.31/1.51 cnf(295,plain,
% 1.31/1.51 (E(f2(x2951,a1),x2951)),
% 1.31/1.51 inference(rename_variables,[],[101])).
% 1.31/1.51 cnf(297,plain,
% 1.31/1.51 (E(f2(x2971,a1),x2971)),
% 1.31/1.51 inference(rename_variables,[],[101])).
% 1.31/1.51 cnf(299,plain,
% 1.31/1.51 (P1(f5(a1,x2991),f4(x2991),f4(x2991))),
% 1.31/1.51 inference(rename_variables,[],[57])).
% 1.31/1.51 cnf(303,plain,
% 1.31/1.51 (P1(f5(a1,a3),f2(a1,a1),a1)),
% 1.31/1.51 inference(scs_inference,[],[57,299,251,280,146,238,114,109,239,209,111,101,295,297,102,15,24,2,29,28,13,3,14,10,9,12,11])).
% 1.31/1.51 cnf(329,plain,
% 1.31/1.51 (E(f5(a1,a1),f5(f4(a1),f5(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[290,2])).
% 1.31/1.51 cnf(330,plain,
% 1.31/1.51 (E(f5(a1,a3),f4(a3))),
% 1.31/1.51 inference(scs_inference,[],[266,290,18,2,29])).
% 1.31/1.51 cnf(331,plain,
% 1.31/1.51 (P2(a3,x3311,x3311)),
% 1.31/1.51 inference(rename_variables,[],[18])).
% 1.31/1.51 cnf(333,plain,
% 1.31/1.51 (E(a1,f2(a1,f2(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[219,266,290,18,23,2,29,28])).
% 1.31/1.51 cnf(334,plain,
% 1.31/1.51 (P1(x3341,x3342,f2(x3341,x3342))),
% 1.31/1.51 inference(rename_variables,[],[23])).
% 1.31/1.51 cnf(336,plain,
% 1.31/1.51 (P2(x3361,f2(f5(a3,a3),a1),x3361)),
% 1.31/1.51 inference(scs_inference,[],[219,266,16,290,46,18,23,2,29,28,13])).
% 1.31/1.51 cnf(337,plain,
% 1.31/1.51 (E(x3371,f2(f5(x3371,a3),a1))),
% 1.31/1.51 inference(rename_variables,[],[46])).
% 1.31/1.51 cnf(338,plain,
% 1.31/1.51 (E(f2(a1,a1),f5(f5(a1,a3),f2(a1,a3)))),
% 1.31/1.51 inference(scs_inference,[],[219,266,16,290,287,46,155,18,23,2,29,28,13,3])).
% 1.31/1.51 cnf(342,plain,
% 1.31/1.51 (E(x3421,f2(f5(x3421,a3),a1))),
% 1.31/1.51 inference(rename_variables,[],[46])).
% 1.31/1.51 cnf(343,plain,
% 1.31/1.51 (~E(f5(a1,a1),a3)),
% 1.31/1.51 inference(scs_inference,[],[219,74,63,247,266,16,290,287,46,337,155,18,23,2,29,28,13,3,14,9,10])).
% 1.31/1.51 cnf(347,plain,
% 1.31/1.51 (P2(f2(a3,a1),f2(a3,a1),f2(a3,a1))),
% 1.31/1.51 inference(scs_inference,[],[219,74,139,63,146,247,266,16,290,287,46,337,342,155,18,23,2,29,28,13,3,14,9,10,12,11,35])).
% 1.31/1.51 cnf(348,plain,
% 1.31/1.51 (P2(x3481,a3,x3481)),
% 1.31/1.51 inference(rename_variables,[],[16])).
% 1.31/1.51 cnf(351,plain,
% 1.31/1.51 (P2(x3511,x3512,f5(x3511,x3512))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(354,plain,
% 1.31/1.51 (P2(a3,x3541,x3541)),
% 1.31/1.51 inference(rename_variables,[],[18])).
% 1.31/1.51 cnf(355,plain,
% 1.31/1.51 (P1(x3551,x3552,f2(x3551,x3552))),
% 1.31/1.51 inference(rename_variables,[],[23])).
% 1.31/1.51 cnf(358,plain,
% 1.31/1.51 (P1(x3581,x3582,f2(x3581,x3582))),
% 1.31/1.51 inference(rename_variables,[],[23])).
% 1.31/1.51 cnf(360,plain,
% 1.31/1.51 (P2(x3601,x3602,f5(x3601,x3602))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(364,plain,
% 1.31/1.51 (P2(x3641,a3,x3641)),
% 1.31/1.51 inference(rename_variables,[],[16])).
% 1.31/1.51 cnf(368,plain,
% 1.31/1.51 (P2(x3681,x3682,f5(x3681,x3682))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(371,plain,
% 1.31/1.51 (P1(a3,f5(f5(a1,a1),f5(a1,a1)),a3)),
% 1.31/1.51 inference(scs_inference,[],[219,74,68,139,63,80,146,247,266,16,348,364,290,287,46,337,342,155,19,18,331,354,17,23,334,355,358,24,351,360,368,2,29,28,13,3,14,9,10,12,11,35,32,31,37,34,36,33])).
% 1.31/1.51 cnf(377,plain,
% 1.31/1.51 (E(f4(a3),a1)),
% 1.31/1.51 inference(scs_inference,[],[16,338,22,2,29])).
% 1.31/1.51 cnf(382,plain,
% 1.31/1.51 (E(x3821,f2(x3821,a1))),
% 1.31/1.51 inference(rename_variables,[],[40])).
% 1.31/1.51 cnf(383,plain,
% 1.31/1.51 (E(a1,f5(f5(a1,a3),f2(a1,a3)))),
% 1.31/1.51 inference(scs_inference,[],[146,16,338,40,382,22,2,29,13,3])).
% 1.31/1.51 cnf(384,plain,
% 1.31/1.51 (E(x3841,f2(x3841,a1))),
% 1.31/1.51 inference(rename_variables,[],[40])).
% 1.31/1.51 cnf(389,plain,
% 1.31/1.51 (P1(a3,f5(a1,a1),f2(a3,a1))),
% 1.31/1.51 inference(scs_inference,[],[219,74,146,16,338,330,333,40,382,384,22,2,29,13,3,10,9,14,12,11])).
% 1.31/1.51 cnf(392,plain,
% 1.31/1.51 (P1(x3921,x3922,f2(x3921,x3922))),
% 1.31/1.51 inference(rename_variables,[],[23])).
% 1.31/1.51 cnf(394,plain,
% 1.31/1.51 (P1(f4(a3),f4(a3),f4(a3))),
% 1.31/1.51 inference(scs_inference,[],[219,74,255,146,47,94,16,338,330,333,40,382,384,22,23,2,29,13,3,10,9,14,12,11,35,32])).
% 1.31/1.51 cnf(403,plain,
% 1.31/1.51 (P1(a3,f5(f2(a1,a1),f2(a1,a1)),f2(a3,a1))),
% 1.31/1.51 inference(scs_inference,[],[219,74,371,255,146,47,94,16,338,330,333,21,40,382,384,22,23,392,24,2,29,13,3,10,9,14,12,11,35,32,30,36,33])).
% 1.31/1.51 cnf(410,plain,
% 1.31/1.51 (E(f2(a3,a3),f2(a3,a1))),
% 1.31/1.51 inference(scs_inference,[],[294,2])).
% 1.31/1.51 cnf(412,plain,
% 1.31/1.51 (E(x4121,f5(x4121,a3))),
% 1.31/1.51 inference(rename_variables,[],[43])).
% 1.31/1.51 cnf(413,plain,
% 1.31/1.51 (E(f2(f2(a3,a1),a1),f2(a3,a3))),
% 1.31/1.51 inference(scs_inference,[],[80,294,43,101,2,13,3])).
% 1.31/1.51 cnf(415,plain,
% 1.31/1.51 (P1(f5(a1,a3),a1,f4(a3))),
% 1.31/1.51 inference(scs_inference,[],[57,80,294,377,43,101,2,13,3,10])).
% 1.31/1.51 cnf(416,plain,
% 1.31/1.51 (P1(f5(a1,x4161),f4(x4161),f4(x4161))),
% 1.31/1.51 inference(rename_variables,[],[57])).
% 1.31/1.51 cnf(420,plain,
% 1.31/1.51 (P1(f5(a1,x4201),f4(x4201),f4(x4201))),
% 1.31/1.51 inference(rename_variables,[],[57])).
% 1.31/1.51 cnf(423,plain,
% 1.31/1.51 (P1(f5(a1,x4231),f4(x4231),f4(x4231))),
% 1.31/1.51 inference(rename_variables,[],[57])).
% 1.31/1.51 cnf(429,plain,
% 1.31/1.51 (P1(f2(a3,a1),f2(a3,a1),f2(a3,a3))),
% 1.31/1.51 inference(scs_inference,[],[57,416,420,403,80,94,347,259,329,294,383,377,43,412,101,15,18,23,2,13,3,10,14,9,12,11,35,30,31])).
% 1.31/1.51 cnf(431,plain,
% 1.31/1.51 (P1(x4311,x4312,f2(x4311,x4312))),
% 1.31/1.51 inference(rename_variables,[],[23])).
% 1.31/1.51 cnf(437,plain,
% 1.31/1.51 (P2(f4(x4371),f2(f5(a1,x4371),a3),f4(x4371))),
% 1.31/1.51 inference(scs_inference,[],[57,416,420,423,403,80,94,347,16,259,329,294,383,377,43,412,101,15,18,23,431,2,13,3,10,14,9,12,11,35,30,31,34,37,36])).
% 1.31/1.51 cnf(448,plain,
% 1.31/1.51 (E(x4481,f2(f5(x4481,a3),a1))),
% 1.31/1.51 inference(rename_variables,[],[46])).
% 1.31/1.51 cnf(449,plain,
% 1.31/1.51 (E(f4(a3),f2(a1,f2(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[94,413,333,377,46,2,13,3])).
% 1.31/1.51 cnf(451,plain,
% 1.31/1.51 (P2(a3,a3,f2(a3,a3))),
% 1.31/1.51 inference(scs_inference,[],[122,94,413,329,333,294,377,46,2,13,3,10,14])).
% 1.31/1.51 cnf(457,plain,
% 1.31/1.51 (P2(x4571,x4572,f5(x4571,x4572))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(458,plain,
% 1.31/1.51 (P1(x4581,x4582,f2(x4581,x4582))),
% 1.31/1.51 inference(rename_variables,[],[23])).
% 1.31/1.51 cnf(472,plain,
% 1.31/1.51 (P2(f4(a1),f4(a3),f4(a3))),
% 1.31/1.51 inference(scs_inference,[],[122,429,206,94,347,136,90,22,336,277,413,303,415,329,333,294,377,46,448,23,458,24,457,2,13,3,10,14,12,9,11,32,35,30,34,31,37])).
% 1.31/1.51 cnf(473,plain,
% 1.31/1.51 (P2(f4(x4731),x4731,a1)),
% 1.31/1.51 inference(rename_variables,[],[22])).
% 1.31/1.51 cnf(475,plain,
% 1.31/1.51 (P1(f4(a3),a1,a1)),
% 1.31/1.51 inference(scs_inference,[],[122,394,429,206,94,347,136,90,22,473,336,277,413,303,415,329,333,294,377,46,448,21,23,458,24,457,2,13,3,10,14,12,9,11,32,35,30,34,31,37,33])).
% 1.31/1.51 cnf(480,plain,
% 1.31/1.51 (E(f2(a1,f2(a1,a1)),f4(a3))),
% 1.31/1.51 inference(scs_inference,[],[449,2])).
% 1.31/1.51 cnf(482,plain,
% 1.31/1.51 (E(f5(a1,a3),f2(a1,f2(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[94,449,333,149,102,2,13,3])).
% 1.31/1.51 cnf(509,plain,
% 1.31/1.51 (E(f5(a1,a3),f5(a3,f4(a3)))),
% 1.31/1.51 inference(scs_inference,[],[266,24,482,2,29])).
% 1.31/1.51 cnf(512,plain,
% 1.31/1.51 (E(f4(a1),a3)),
% 1.31/1.51 inference(scs_inference,[],[266,15,24,482,21,2,29,28])).
% 1.31/1.51 cnf(518,plain,
% 1.31/1.51 (E(f2(a1,a1),f2(a1,f2(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[266,15,24,482,239,155,21,2,29,28,13,3])).
% 1.31/1.51 cnf(557,plain,
% 1.31/1.51 (E(f2(a3,a1),f5(f2(a3,a1),f2(a3,a1)))),
% 1.31/1.51 inference(scs_inference,[],[347,24,518,2,29])).
% 1.31/1.51 cnf(558,plain,
% 1.31/1.51 (P2(x5581,x5582,f5(x5581,x5582))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(560,plain,
% 1.31/1.51 (E(f5(a1,a3),f2(a1,a1))),
% 1.31/1.51 inference(scs_inference,[],[68,347,24,518,23,2,29,28])).
% 1.31/1.51 cnf(564,plain,
% 1.31/1.51 (E(f2(a1,a1),f4(a3))),
% 1.31/1.51 inference(scs_inference,[],[68,347,24,518,480,294,23,2,29,28,13,3])).
% 1.31/1.51 cnf(571,plain,
% 1.31/1.51 (P2(x5711,x5712,f5(x5711,x5712))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(575,plain,
% 1.31/1.51 (P2(x5751,x5752,f5(x5751,x5752))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(581,plain,
% 1.31/1.51 (P2(f5(a1,a3),a3,f2(a1,a1))),
% 1.31/1.51 inference(scs_inference,[],[68,429,475,219,347,80,15,17,16,24,558,571,575,518,509,480,294,333,23,2,29,28,13,3,10,14,12,9,11,35,32,30,34])).
% 1.31/1.51 cnf(603,plain,
% 1.31/1.51 (E(f2(a3,a3),f5(f2(a3,a1),f2(a3,a1)))),
% 1.31/1.51 inference(scs_inference,[],[347,557,410,2,13,3])).
% 1.31/1.51 cnf(608,plain,
% 1.31/1.51 (P1(f2(a3,a1),f2(a3,a1),f2(a3,a1))),
% 1.31/1.51 inference(scs_inference,[],[429,347,266,557,560,410,2,13,3,14,10,12,9,11])).
% 1.31/1.51 cnf(632,plain,
% 1.31/1.51 (E(f5(f2(a3,a1),f2(a3,a1)),f2(a3,a3))),
% 1.31/1.51 inference(scs_inference,[],[603,2])).
% 1.31/1.51 cnf(637,plain,
% 1.31/1.51 (E(a3,f2(a3,f5(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[74,18,603,336,23,2,29,28])).
% 1.31/1.51 cnf(675,plain,
% 1.31/1.51 (E(f4(a3),f2(a1,a1))),
% 1.31/1.51 inference(scs_inference,[],[564,2])).
% 1.31/1.51 cnf(703,plain,
% 1.31/1.51 (E(a3,f4(a1))),
% 1.31/1.51 inference(scs_inference,[],[512,2])).
% 1.31/1.51 cnf(704,plain,
% 1.31/1.51 (E(f2(a3,a3),a3)),
% 1.31/1.51 inference(scs_inference,[],[18,90,512,2,29])).
% 1.31/1.51 cnf(735,plain,
% 1.31/1.51 (~E(f5(a1,a1),f2(a3,a3))),
% 1.31/1.51 inference(scs_inference,[],[94,704,703,509,343,2,13,3])).
% 1.31/1.51 cnf(740,plain,
% 1.31/1.51 (P1(f4(a1),f5(a1,a1),a3)),
% 1.31/1.51 inference(scs_inference,[],[74,57,266,94,472,704,703,509,675,343,2,13,3,10,14,12,9])).
% 1.31/1.51 cnf(742,plain,
% 1.31/1.51 (P2(f4(a3),f4(a3),f5(f4(a1),f5(a1,a1)))),
% 1.31/1.51 inference(scs_inference,[],[74,57,280,266,94,472,415,86,704,703,509,675,343,2,13,3,10,14,12,9,11,35])).
% 1.31/1.51 cnf(761,plain,
% 1.31/1.51 (P1(x7611,f4(x7611),a3)),
% 1.31/1.51 inference(rename_variables,[],[19])).
% 1.31/1.51 cnf(762,plain,
% 1.31/1.51 (P1(x7621,x7622,f2(x7621,x7622))),
% 1.31/1.51 inference(rename_variables,[],[23])).
% 1.31/1.51 cnf(770,plain,
% 1.31/1.51 (E(f2(x7701,a1),f5(x7701,a3))),
% 1.31/1.51 inference(rename_variables,[],[155])).
% 1.31/1.51 cnf(780,plain,
% 1.31/1.51 (P2(x7801,x7802,f5(x7801,x7802))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(783,plain,
% 1.31/1.51 (P2(x7831,x7832,f5(x7831,x7832))),
% 1.31/1.51 inference(rename_variables,[],[24])).
% 1.31/1.51 cnf(792,plain,
% 1.31/1.51 ($false),
% 1.31/1.51 inference(scs_inference,[],[182,57,371,475,740,63,94,451,472,90,23,762,581,389,19,761,24,780,783,608,735,437,742,632,330,238,239,155,770,637,2,28,13,3,10,14,9,12,11,35,30,36,34,33,32]),
% 1.31/1.51 ['proof']).
% 1.31/1.51 % SZS output end Proof
% 1.31/1.51 % Total time :0.810000s
%------------------------------------------------------------------------------