TSTP Solution File: GRP521-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP521-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : Thu Aug 31 00:12:19 EDT 2023
% Result : Unsatisfiable 1.34s 1.47s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP521-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 20:51:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 1.34/1.46 %-------------------------------------------
% 1.34/1.46 % File :CSE---1.6
% 1.34/1.46 % Problem :theBenchmark
% 1.34/1.46 % Transform :cnf
% 1.34/1.46 % Format :tptp:raw
% 1.34/1.46 % Command :java -jar mcs_scs.jar %d %s
% 1.34/1.46
% 1.34/1.46 % Result :Theorem 0.820000s
% 1.34/1.46 % Output :CNFRefutation 0.820000s
% 1.34/1.46 %-------------------------------------------
% 1.34/1.46 %--------------------------------------------------------------------------
% 1.34/1.46 % File : GRP521-1 : TPTP v8.1.2. Released v2.6.0.
% 1.34/1.46 % Domain : Group Theory (Abelian)
% 1.34/1.46 % Problem : Axiom for Abelian group theory, in division, part 1
% 1.34/1.46 % Version : [McC93] (equality) axioms.
% 1.34/1.46 % English :
% 1.34/1.46
% 1.34/1.46 % Refs : [Tar38] Tarski (1938), Ein Beitrag zur Axiomatik der Abelschen
% 1.34/1.46 % : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 1.34/1.46 % Source : [TPTP]
% 1.34/1.46 % Names :
% 1.34/1.46
% 1.34/1.46 % Status : Unsatisfiable
% 1.34/1.46 % Rating : 0.00 v7.4.0, 0.09 v7.3.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v5.1.0, 0.07 v5.0.0, 0.00 v2.6.0
% 1.34/1.46 % Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 1 RR)
% 1.34/1.46 % Number of literals : 4 ( 4 equ; 1 neg)
% 1.34/1.46 % Maximal clause size : 1 ( 1 avg)
% 1.34/1.46 % Maximal term depth : 5 ( 2 avg)
% 1.34/1.46 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 1.34/1.46 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 1.34/1.46 % Number of variables : 8 ( 0 sgn)
% 1.34/1.46 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 1.34/1.46
% 1.34/1.46 % Comments : A UEQ part of GRP088-1
% 1.34/1.46 %--------------------------------------------------------------------------
% 1.34/1.46 cnf(single_axiom,axiom,
% 1.34/1.47 divide(A,divide(B,divide(C,divide(A,B)))) = C ).
% 1.34/1.47
% 1.34/1.47 cnf(multiply,axiom,
% 1.34/1.47 multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
% 1.34/1.47
% 1.34/1.47 cnf(inverse,axiom,
% 1.34/1.47 inverse(A) = divide(divide(B,B),A) ).
% 1.34/1.47
% 1.34/1.47 cnf(prove_these_axioms_1,negated_conjecture,
% 1.34/1.47 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
% 1.34/1.47
% 1.34/1.47 %--------------------------------------------------------------------------
% 1.34/1.47 %-------------------------------------------
% 1.34/1.47 % Proof found
% 1.34/1.47 % SZS status Theorem for theBenchmark
% 1.34/1.47 % SZS output start Proof
% 1.34/1.47 %ClaNum:12(EqnAxiom:8)
% 1.34/1.47 %VarNum:16(SingletonVarNum:8)
% 1.34/1.47 %MaxLitNum:1
% 1.34/1.47 %MaxfuncDepth:4
% 1.34/1.47 %SharedTerms:7
% 1.34/1.47 %goalClause: 12
% 1.34/1.47 %singleGoalClaCount:1
% 1.34/1.47 [12]~E(f5(f4(a2),a2),f5(f4(a3),a3))
% 1.34/1.47 [9]E(f1(f1(x91,x91),x92),f4(x92))
% 1.34/1.47 [10]E(f1(x101,f1(f1(x102,x102),x103)),f5(x101,x103))
% 1.34/1.47 [11]E(f1(x111,f1(x112,f1(x113,f1(x111,x112)))),x113)
% 1.34/1.47 %EqnAxiom
% 1.34/1.47 [1]E(x11,x11)
% 1.34/1.47 [2]E(x22,x21)+~E(x21,x22)
% 1.34/1.47 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.34/1.47 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 1.34/1.47 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 1.34/1.47 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 1.34/1.47 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 1.34/1.47 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 1.34/1.47
% 1.34/1.47 %-------------------------------------------
% 1.34/1.47 cnf(13,plain,
% 1.34/1.47 (E(f4(x131),f1(f1(x132,x132),x131))),
% 1.34/1.47 inference(scs_inference,[],[9,2])).
% 1.34/1.47 cnf(14,plain,
% 1.34/1.47 (E(f1(x141,f1(x142,f1(f1(f1(x143,x143),x144),f1(x141,x142)))),f4(x144))),
% 1.34/1.47 inference(scs_inference,[],[9,11,2,3])).
% 1.34/1.47 cnf(16,plain,
% 1.34/1.47 (E(f4(f1(f1(x161,x161),x162)),f4(f4(x162)))),
% 1.34/1.47 inference(scs_inference,[],[9,11,2,3,8])).
% 1.34/1.47 cnf(17,plain,
% 1.34/1.47 (E(f5(x171,f1(f1(x172,x172),x173)),f5(x171,f4(x173)))),
% 1.34/1.47 inference(scs_inference,[],[9,11,2,3,8,7])).
% 1.34/1.47 cnf(18,plain,
% 1.34/1.47 (E(f5(f1(f1(x181,x181),x182),x183),f5(f4(x182),x183))),
% 1.34/1.47 inference(scs_inference,[],[9,11,2,3,8,7,6])).
% 1.34/1.47 cnf(19,plain,
% 1.34/1.47 (E(f1(x191,f1(f1(x192,x192),x193)),f1(x191,f4(x193)))),
% 1.34/1.47 inference(scs_inference,[],[9,11,2,3,8,7,6,5])).
% 1.34/1.47 cnf(20,plain,
% 1.34/1.47 (E(f1(f1(f1(x201,x201),x202),x203),f1(f4(x202),x203))),
% 1.34/1.47 inference(scs_inference,[],[9,11,2,3,8,7,6,5,4])).
% 1.34/1.47 cnf(21,plain,
% 1.34/1.47 (~E(f5(f4(a3),a3),f5(f4(a2),a2))),
% 1.34/1.47 inference(scs_inference,[],[12,2])).
% 1.34/1.47 cnf(22,plain,
% 1.34/1.47 (~E(f5(f4(a2),a2),f1(f4(a3),f1(f1(x221,x221),a3)))),
% 1.34/1.47 inference(scs_inference,[],[12,10,2,3])).
% 1.34/1.47 cnf(24,plain,
% 1.34/1.47 (E(f5(x241,x242),f1(x241,f1(f1(x243,x243),x242)))),
% 1.34/1.47 inference(scs_inference,[],[10,2])).
% 1.34/1.47 cnf(25,plain,
% 1.34/1.47 (E(f1(f1(x251,x251),x252),f1(f1(x253,x253),x252))),
% 1.34/1.47 inference(scs_inference,[],[9,13,10,2,3])).
% 1.34/1.47 cnf(27,plain,
% 1.34/1.47 (~E(f1(f4(a3),f1(f1(x271,x271),a3)),f5(f4(a2),a2))),
% 1.34/1.47 inference(scs_inference,[],[22,2])).
% 1.34/1.47 cnf(28,plain,
% 1.34/1.47 (~E(f5(f4(a3),a3),f1(f4(a2),f1(f1(x281,x281),a2)))),
% 1.34/1.47 inference(scs_inference,[],[10,22,21,2,3])).
% 1.34/1.47 cnf(30,plain,
% 1.34/1.47 (E(f4(x301),f1(x302,f1(x303,f1(f1(f1(x304,x304),x301),f1(x302,x303)))))),
% 1.34/1.47 inference(scs_inference,[],[14,2])).
% 1.34/1.47 cnf(31,plain,
% 1.34/1.47 (~E(f1(f4(a3),f1(f1(x311,x311),a3)),f1(f4(a2),f1(f1(x312,x312),a2)))),
% 1.34/1.47 inference(scs_inference,[],[14,24,28,2,3])).
% 1.34/1.47 cnf(33,plain,
% 1.34/1.47 (E(f4(f1(x331,f1(f1(x332,x332),x333))),f4(f5(x331,x333)))),
% 1.34/1.47 inference(scs_inference,[],[10,14,24,28,2,3,8])).
% 1.34/1.47 cnf(34,plain,
% 1.34/1.48 (E(f5(x341,f1(x342,f1(f1(x343,x343),x344))),f5(x341,f5(x342,x344)))),
% 1.34/1.48 inference(scs_inference,[],[10,14,24,28,2,3,8,7])).
% 1.34/1.48 cnf(35,plain,
% 1.34/1.48 (E(f1(x351,f1(x352,f1(f1(x353,x353),x354))),f1(x351,f5(x352,x354)))),
% 1.34/1.48 inference(scs_inference,[],[10,14,24,28,2,3,8,7,5])).
% 1.34/1.48 cnf(36,plain,
% 1.34/1.48 (E(f5(f1(x361,f1(f1(x362,x362),x363)),x364),f5(f5(x361,x363),x364))),
% 1.34/1.48 inference(scs_inference,[],[10,14,24,28,2,3,8,7,5,6])).
% 1.34/1.48 cnf(37,plain,
% 1.34/1.48 (E(f1(f1(x371,f1(f1(x372,x372),x373)),x374),f1(f5(x371,x373),x374))),
% 1.34/1.48 inference(scs_inference,[],[10,14,24,28,2,3,8,7,5,6,4])).
% 1.34/1.48 cnf(38,plain,
% 1.34/1.48 (~E(f1(f4(a2),f1(f1(x381,x381),a2)),f1(f4(a3),f1(f1(x382,x382),a3)))),
% 1.34/1.48 inference(scs_inference,[],[31,2])).
% 1.34/1.48 cnf(39,plain,
% 1.34/1.48 (E(f1(x391,f1(f1(x392,x392),f1(f1(x393,x393),x394))),f5(x391,f4(x394)))),
% 1.34/1.48 inference(scs_inference,[],[10,17,31,2,3])).
% 1.34/1.48 cnf(41,plain,
% 1.34/1.48 (E(x411,f1(x412,f1(x413,f1(x411,f1(x412,x413)))))),
% 1.34/1.48 inference(scs_inference,[],[11,2])).
% 1.34/1.48 cnf(42,plain,
% 1.34/1.48 (E(f1(x421,f1(x422,f1(f4(x423),f1(x421,x422)))),f1(f1(x424,x424),x423))),
% 1.34/1.48 inference(scs_inference,[],[11,13,2,3])).
% 1.34/1.48 cnf(44,plain,
% 1.34/1.48 (~E(f1(f4(a2),f1(f1(x441,x441),a2)),f5(f4(a3),a3))),
% 1.34/1.48 inference(scs_inference,[],[28,2])).
% 1.34/1.48 cnf(45,plain,
% 1.34/1.48 (~E(f1(f4(a2),f4(a2)),f1(f4(a3),f1(f1(x451,x451),a3)))),
% 1.34/1.48 inference(scs_inference,[],[19,38,28,2,3])).
% 1.34/1.48 cnf(49,plain,
% 1.34/1.48 (E(f4(f1(f1(x491,x491),x492)),f1(f1(x493,x493),f4(x492)))),
% 1.34/1.48 inference(scs_inference,[],[13,16,2,3])).
% 1.34/1.48 cnf(50,plain,
% 1.34/1.48 (E(f4(x501),f1(f1(x502,x502),x501))),
% 1.34/1.48 inference(rename_variables,[],[13])).
% 1.34/1.48 cnf(53,plain,
% 1.34/1.48 (E(f5(f4(x531),x532),f5(f1(f1(x533,x533),x531),x532))),
% 1.34/1.48 inference(scs_inference,[],[13,50,16,25,2,3,8,7,6])).
% 1.34/1.48 cnf(54,plain,
% 1.34/1.48 (E(f1(x541,f4(x542)),f1(x541,f1(f1(x543,x543),x542)))),
% 1.34/1.48 inference(scs_inference,[],[13,50,16,25,2,3,8,7,6,5])).
% 1.34/1.48 cnf(55,plain,
% 1.34/1.48 (E(f1(f4(x551),x552),f1(f1(f1(x553,x553),x551),x552))),
% 1.34/1.48 inference(scs_inference,[],[13,50,16,25,2,3,8,7,6,5,4])).
% 1.34/1.48 cnf(56,plain,
% 1.34/1.48 (~E(f1(f4(a3),f1(f1(x561,x561),a3)),f1(f4(a2),f4(a2)))),
% 1.34/1.48 inference(scs_inference,[],[45,2])).
% 1.34/1.48 cnf(57,plain,
% 1.34/1.48 (E(f5(f1(f1(x571,x571),x572),f1(f1(x573,x573),x574)),f5(f4(x572),f4(x574)))),
% 1.34/1.48 inference(scs_inference,[],[17,18,45,2,3])).
% 1.34/1.48 cnf(61,plain,
% 1.34/1.48 (E(f5(f1(x611,f1(f1(x612,x612),x613)),f1(f1(x614,x614),x615)),f5(f5(x611,x613),f4(x615)))),
% 1.34/1.48 inference(scs_inference,[],[17,33,36,2,3])).
% 1.34/1.48 cnf(64,plain,
% 1.34/1.48 (~E(f1(f4(a3),f1(f1(x641,x641),a3)),f1(f1(f1(x642,x642),a2),f4(a2)))),
% 1.34/1.48 inference(scs_inference,[],[20,56,3])).
% 1.34/1.48 cnf(68,plain,
% 1.34/1.48 (E(f4(f1(x681,x681)),f1(x682,f5(x683,f1(x682,x683))))),
% 1.34/1.48 inference(scs_inference,[],[30,34,35,2,3])).
% 1.34/1.48 cnf(74,plain,
% 1.34/1.48 (E(f1(f5(x741,x742),x743),f1(f1(x741,f1(f1(x744,x744),x742)),x743))),
% 1.34/1.48 inference(scs_inference,[],[30,34,35,24,25,2,3,7,5,6,4])).
% 1.34/1.48 cnf(75,plain,
% 1.34/1.48 (~E(f1(f4(a2),f4(a2)),f5(f4(a3),a3))),
% 1.34/1.48 inference(scs_inference,[],[19,44,3])).
% 1.34/1.48 cnf(77,plain,
% 1.34/1.48 (~E(f5(f4(a3),a3),f1(f4(a2),f4(a2)))),
% 1.34/1.48 inference(scs_inference,[],[19,44,3,2])).
% 1.34/1.48 cnf(79,plain,
% 1.34/1.48 (~E(f5(f4(a3),a3),f1(f1(f1(x791,x791),a2),f4(a2)))),
% 1.34/1.48 inference(scs_inference,[],[20,39,77,2,3])).
% 1.34/1.48 cnf(82,plain,
% 1.34/1.48 (E(f1(f1(f1(x821,x821),x822),f1(f1(x823,x823),x824)),f1(f4(x822),f4(x824)))),
% 1.34/1.48 inference(scs_inference,[],[19,20,79,2,3])).
% 1.34/1.48 cnf(86,plain,
% 1.34/1.48 (~E(f1(f4(a3),f4(a3)),f1(f1(f1(x861,x861),a2),f4(a2)))),
% 1.34/1.48 inference(scs_inference,[],[19,42,64,2,3])).
% 1.34/1.48 cnf(90,plain,
% 1.34/1.48 (E(f1(f1(f1(x901,x901),x902),x903),f1(f1(f1(x904,x904),x902),x903))),
% 1.34/1.48 inference(scs_inference,[],[19,42,64,25,2,3,5,6,4])).
% 1.34/1.48 cnf(91,plain,
% 1.34/1.48 (~E(f1(f1(f1(x911,x911),a2),f4(a2)),f1(f4(a3),f4(a3)))),
% 1.34/1.48 inference(scs_inference,[],[86,2])).
% 1.34/1.48 cnf(92,plain,
% 1.34/1.48 (~E(f5(f4(a3),a3),f5(f1(f1(x921,x921),a2),a2))),
% 1.34/1.48 inference(scs_inference,[],[18,21,86,2,3])).
% 1.34/1.48 cnf(94,plain,
% 1.34/1.48 (E(f1(f1(x941,x941),f4(x942)),f4(f1(f1(x943,x943),x942)))),
% 1.34/1.48 inference(scs_inference,[],[49,2])).
% 1.34/1.48 cnf(95,plain,
% 1.34/1.48 (E(f1(f1(x951,f1(f1(x952,x952),x953)),f1(f1(x954,x954),x955)),f1(f5(x951,x953),f4(x955)))),
% 1.34/1.48 inference(scs_inference,[],[19,37,49,2,3])).
% 1.34/1.48 cnf(99,plain,
% 1.34/1.48 (~E(f1(f4(a3),f4(a3)),f5(f4(a2),a2))),
% 1.34/1.48 inference(scs_inference,[],[19,92,27,2,3])).
% 1.34/1.48 cnf(102,plain,
% 1.34/1.48 (~E(f5(f4(a2),a2),f1(f1(f1(x1021,x1021),a3),f1(f1(x1022,x1022),a3)))),
% 1.34/1.48 inference(scs_inference,[],[20,22,57,2,3])).
% 1.34/1.48 cnf(105,plain,
% 1.34/1.48 (E(f5(f1(f1(x1051,x1051),x1052),x1053),f1(f4(x1052),f1(f1(x1054,x1054),x1053)))),
% 1.34/1.48 inference(scs_inference,[],[20,24,99,2,3])).
% 1.34/1.48 cnf(109,plain,
% 1.34/1.48 (~E(f5(f1(f1(x1091,x1091),a3),a3),f5(f4(a2),a2))),
% 1.34/1.48 inference(scs_inference,[],[21,53,61,2,3])).
% 1.34/1.48 cnf(112,plain,
% 1.34/1.48 (~E(f1(f4(a2),f4(a2)),f5(f1(f1(x1121,x1121),a3),a3))),
% 1.34/1.48 inference(scs_inference,[],[75,102,18,2,3])).
% 1.34/1.48 cnf(115,plain,
% 1.34/1.48 (E(f1(f1(x1151,x1151),f4(x1152)),f1(f1(x1153,x1153),f1(f1(x1154,x1154),x1152)))),
% 1.34/1.48 inference(scs_inference,[],[25,54,68,2,3])).
% 1.34/1.48 cnf(118,plain,
% 1.34/1.48 (~E(f5(f1(f1(x1181,x1181),a3),a3),f1(f4(a2),f4(a2)))),
% 1.34/1.48 inference(scs_inference,[],[112,2])).
% 1.34/1.48 cnf(122,plain,
% 1.34/1.48 (E(f1(f4(x1221),f4(x1222)),f1(f1(f1(x1223,x1223),x1221),f1(f1(x1224,x1224),x1222)))),
% 1.34/1.48 inference(scs_inference,[],[82,2])).
% 1.34/1.48 cnf(123,plain,
% 1.34/1.48 (~E(f1(f4(a3),f1(f1(x1231,x1231),a3)),f5(f1(f1(x1232,x1232),a2),a2))),
% 1.34/1.48 inference(scs_inference,[],[27,82,18,2,3])).
% 1.34/1.48 cnf(126,plain,
% 1.34/1.48 (E(f5(f4(x1261),x1262),f1(f1(f1(x1263,x1263),x1261),f1(f1(x1264,x1264),x1262)))),
% 1.34/1.48 inference(scs_inference,[],[24,55,123,2,3])).
% 1.34/1.48 cnf(130,plain,
% 1.34/1.48 (E(f1(f5(f1(f1(x1301,x1301),x1302),x1302),x1303),f1(f1(x1304,x1304),x1303))),
% 1.34/1.48 inference(scs_inference,[],[25,74,95,2,3])).
% 1.34/1.48 cnf(134,plain,
% 1.34/1.48 (~E(f5(f1(f1(x1341,x1341),a3),a3),f1(f1(f1(x1342,x1342),a2),f1(f1(x1343,x1343),a2)))),
% 1.34/1.48 inference(scs_inference,[],[118,109,82,2,3])).
% 1.34/1.48 cnf(137,plain,
% 1.34/1.48 (E(f1(f1(f1(x1371,x1371),f1(x1372,x1372)),f4(x1373)),f4(f1(f1(x1374,x1374),x1373)))),
% 1.34/1.48 inference(scs_inference,[],[90,94,105,2,3])).
% 1.34/1.48 cnf(141,plain,
% 1.34/1.48 (~E(f1(f1(f1(x1411,x1411),a3),f1(f1(x1412,x1412),a3)),f1(f4(a2),f1(f1(x1413,x1413),a2)))),
% 1.34/1.48 inference(scs_inference,[],[28,126,134,2,3])).
% 1.34/1.48 cnf(144,plain,
% 1.34/1.48 (~E(f1(f1(f1(x1441,x1441),a2),f4(a2)),f1(f1(f1(x1442,x1442),a3),f1(f1(x1443,x1443),a3)))),
% 1.34/1.48 inference(scs_inference,[],[115,91,82,2,3])).
% 1.34/1.48 cnf(147,plain,
% 1.34/1.48 (E(f1(f5(f1(f1(x1471,x1471),x1472),x1472),f4(x1473)),f4(f1(f1(x1474,x1474),x1473)))),
% 1.34/1.48 inference(scs_inference,[],[130,137,141,2,3])).
% 1.34/1.48 cnf(153,plain,
% 1.34/1.48 (~E(f1(f1(f1(x1531,x1531),a3),f1(f1(x1532,x1532),a3)),f1(f1(f1(x1533,x1533),a2),f4(a2)))),
% 1.34/1.48 inference(scs_inference,[],[144,2])).
% 1.34/1.48 cnf(157,plain,
% 1.34/1.48 (E(f1(x1571,x1571),f1(x1572,f5(x1573,f1(x1572,x1573))))),
% 1.34/1.48 inference(scs_inference,[],[35,41,147,2,3])).
% 1.34/1.48 cnf(170,plain,
% 1.34/1.48 (~E(f1(f1(f1(x1701,x1701),a3),f1(f1(x1702,x1702),a3)),f1(f4(a2),f4(a2)))),
% 1.34/1.48 inference(scs_inference,[],[157,153,55,2,3])).
% 1.34/1.48 cnf(173,plain,
% 1.34/1.48 (~E(f1(f4(a2),f4(a2)),f1(f1(f1(x1731,x1731),a3),f1(f1(x1732,x1732),a3)))),
% 1.34/1.48 inference(scs_inference,[],[170,2])).
% 1.34/1.48 cnf(189,plain,
% 1.34/1.48 (~E(f1(f4(a3),f4(a3)),f1(f4(a2),f4(a2)))),
% 1.34/1.48 inference(scs_inference,[],[122,173,3,2])).
% 1.34/1.48 cnf(194,plain,
% 1.34/1.48 (E(f1(x1941,x1941),f5(x1942,f4(f1(x1942,f1(x1943,x1943)))))),
% 1.34/1.48 inference(scs_inference,[],[39,41,3])).
% 1.34/1.48 cnf(198,plain,
% 1.34/1.48 (E(f1(x1981,x1981),f5(x1982,f4(f1(x1982,f1(x1983,x1983)))))),
% 1.34/1.48 inference(rename_variables,[],[194])).
% 1.34/1.48 cnf(199,plain,
% 1.34/1.48 ($false),
% 1.34/1.48 inference(scs_inference,[],[194,198,189,3,2]),
% 1.34/1.48 ['proof']).
% 1.34/1.48 % SZS output end Proof
% 1.34/1.48 % Total time :0.820000s
%------------------------------------------------------------------------------