TSTP Solution File: GRP569-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP569-1 : 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 : n017.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 00:12:27 EDT 2023
% Result : Unsatisfiable 71.93s 71.96s
% Output : CNFRefutation 71.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP569-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 21:52:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 71.84/71.95 %-------------------------------------------
% 71.84/71.95 % File :CSE---1.6
% 71.84/71.95 % Problem :theBenchmark
% 71.84/71.95 % Transform :cnf
% 71.84/71.95 % Format :tptp:raw
% 71.84/71.95 % Command :java -jar mcs_scs.jar %d %s
% 71.84/71.95
% 71.84/71.95 % Result :Theorem 71.300000s
% 71.84/71.95 % Output :CNFRefutation 71.300000s
% 71.84/71.95 %-------------------------------------------
% 71.93/71.96 %--------------------------------------------------------------------------
% 71.93/71.96 % File : GRP569-1 : TPTP v8.1.2. Released v2.6.0.
% 71.93/71.96 % Domain : Group Theory (Abelian)
% 71.93/71.96 % Problem : Axiom for Abelian group theory, in double div and id, part 1
% 71.93/71.96 % Version : [McC93] (equality) axioms.
% 71.93/71.96 % English :
% 71.93/71.96
% 71.93/71.96 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 71.93/71.96 % Source : [TPTP]
% 71.93/71.96 % Names :
% 71.93/71.96
% 71.93/71.96 % Status : Unsatisfiable
% 71.93/71.96 % 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, 0.10 v5.5.0, 0.11 v5.4.0, 0.00 v2.6.0
% 71.93/71.96 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 71.93/71.96 % Number of literals : 5 ( 5 equ; 1 neg)
% 71.93/71.96 % Maximal clause size : 1 ( 1 avg)
% 71.93/71.96 % Maximal term depth : 6 ( 2 avg)
% 71.93/71.96 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 71.93/71.96 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 71.93/71.96 % Number of variables : 7 ( 0 sgn)
% 71.93/71.96 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 71.93/71.96
% 71.93/71.96 % Comments : A UEQ part of GRP100-1
% 71.93/71.96 %--------------------------------------------------------------------------
% 71.93/71.96 cnf(single_axiom,axiom,
% 71.93/71.96 double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ).
% 71.93/71.96
% 71.93/71.96 cnf(multiply,axiom,
% 71.93/71.96 multiply(A,B) = double_divide(double_divide(B,A),identity) ).
% 71.93/71.96
% 71.93/71.96 cnf(inverse,axiom,
% 71.93/71.96 inverse(A) = double_divide(A,identity) ).
% 71.93/71.96
% 71.93/71.96 cnf(identity,axiom,
% 71.93/71.96 identity = double_divide(A,inverse(A)) ).
% 71.93/71.96
% 71.93/71.96 cnf(prove_these_axioms_1,negated_conjecture,
% 71.93/71.96 multiply(inverse(a1),a1) != identity ).
% 71.93/71.96
% 71.93/71.96 %--------------------------------------------------------------------------
% 71.93/71.96 %-------------------------------------------
% 71.93/71.96 % Proof found
% 71.93/71.96 % SZS status Theorem for theBenchmark
% 71.93/71.96 % SZS output start Proof
% 71.93/71.97 %ClaNum:8(EqnAxiom:5)
% 71.93/71.97 %VarNum:8(SingletonVarNum:4)
% 71.93/71.97 %MaxLitNum:1
% 71.93/71.97 %MaxfuncDepth:3
% 71.93/71.97 %SharedTerms:7
% 71.93/71.97 %goalClause: 8
% 71.93/71.97 %singleGoalClaCount:1
% 71.93/71.97 [8]~E(f2(f2(a3,f2(a3,a1)),a1),a1)
% 71.93/71.97 [6]E(f2(x61,f2(x61,a1)),a1)
% 71.93/71.97 [7]E(f2(f2(x71,f2(f2(x72,f2(x71,x73)),f2(x73,a1))),f2(a1,a1)),x72)
% 71.93/71.97 %EqnAxiom
% 71.93/71.97 [1]E(x11,x11)
% 71.93/71.97 [2]E(x22,x21)+~E(x21,x22)
% 71.93/71.97 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 71.93/71.97 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 71.93/71.97 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 71.93/71.97
% 71.93/71.97 %-------------------------------------------
% 71.93/71.98 cnf(9,plain,
% 71.93/71.98 (E(a1,f2(x91,f2(x91,a1)))),
% 71.93/71.98 inference(scs_inference,[],[6,2])).
% 71.93/71.98 cnf(10,plain,
% 71.93/71.98 (~E(f2(f2(a3,f2(a3,a1)),a1),f2(x101,f2(x101,a1)))),
% 71.93/71.98 inference(scs_inference,[],[8,6,2,3])).
% 71.93/71.98 cnf(11,plain,
% 71.93/71.98 (E(f2(x111,f2(x112,f2(x112,a1))),f2(x111,a1))),
% 71.93/71.98 inference(scs_inference,[],[8,6,2,3,5])).
% 71.93/71.98 cnf(12,plain,
% 71.93/71.98 (E(f2(f2(x121,f2(x121,a1)),x122),f2(a1,x122))),
% 71.93/71.98 inference(scs_inference,[],[8,6,2,3,5,4])).
% 71.93/71.98 cnf(13,plain,
% 71.93/71.98 (~E(f2(a1,a1),a1)),
% 71.93/71.98 inference(scs_inference,[],[8,12,3])).
% 71.93/71.98 cnf(15,plain,
% 71.93/71.98 (~E(a1,f2(f2(a3,f2(a3,a1)),a1))),
% 71.93/71.98 inference(scs_inference,[],[8,12,3,2])).
% 71.93/71.98 cnf(16,plain,
% 71.93/71.98 (E(x161,f2(f2(x162,f2(f2(x161,f2(x162,x163)),f2(x163,a1))),f2(a1,a1)))),
% 71.93/71.98 inference(scs_inference,[],[7,2])).
% 71.93/71.98 cnf(17,plain,
% 71.93/71.98 (E(f2(x171,f2(x171,a1)),f2(x172,f2(x172,a1)))),
% 71.93/71.98 inference(scs_inference,[],[6,9,7,2,3])).
% 71.93/71.98 cnf(18,plain,
% 71.93/71.98 (~E(f2(a1,a1),f2(x181,f2(x181,a1)))),
% 71.93/71.98 inference(scs_inference,[],[6,13,3])).
% 71.93/71.98 cnf(20,plain,
% 71.93/71.98 (~E(a1,f2(a1,a1))),
% 71.93/71.98 inference(scs_inference,[],[6,10,13,3,2,5])).
% 71.93/71.98 cnf(21,plain,
% 71.93/71.98 (E(f2(x211,a1),f2(x211,f2(x212,f2(x212,a1))))),
% 71.93/71.98 inference(scs_inference,[],[9,5])).
% 71.93/71.98 cnf(22,plain,
% 71.93/71.98 (~E(f2(f2(x221,f2(f2(f2(a1,a1),f2(x221,x222)),f2(x222,a1))),f2(a1,a1)),f2(x223,f2(x223,a1)))),
% 71.93/71.98 inference(scs_inference,[],[9,16,18,5,3])).
% 71.93/71.98 cnf(24,plain,
% 71.93/71.98 (E(f2(a1,x241),f2(f2(x242,f2(x242,a1)),x241))),
% 71.93/71.98 inference(scs_inference,[],[9,16,18,12,5,3,2])).
% 71.93/71.98 cnf(25,plain,
% 71.93/71.98 (E(f2(f2(x251,f2(x251,a1)),x252),f2(f2(x253,f2(x253,a1)),x252))),
% 71.93/71.98 inference(scs_inference,[],[9,16,17,18,12,5,3,2,4])).
% 71.93/71.98 cnf(26,plain,
% 71.93/71.98 (~E(f2(x261,f2(f2(f2(a1,a1),f2(x261,x262)),f2(x262,a1))),a1)),
% 71.93/71.99 inference(scs_inference,[],[22,4])).
% 71.93/71.99 cnf(27,plain,
% 71.93/71.99 (~E(f2(f2(x271,f2(f2(f2(a1,a1),f2(x271,x272)),f2(x272,a1))),f2(a1,a1)),f2(x273,f2(x273,a1)))),
% 71.93/71.99 inference(rename_variables,[],[22])).
% 71.93/71.99 cnf(28,plain,
% 71.93/71.99 (E(f2(f2(x281,f2(f2(a1,f2(x281,x282)),f2(x282,a1))),f2(a1,a1)),f2(x283,f2(x283,a1)))),
% 71.93/71.99 inference(scs_inference,[],[7,9,22,4,3])).
% 71.93/71.99 cnf(30,plain,
% 71.93/71.99 (~E(f2(x301,f2(x301,a1)),f2(f2(x302,f2(f2(f2(a1,a1),f2(x302,x303)),f2(x303,a1))),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[7,9,22,27,4,3,2])).
% 71.93/71.99 cnf(34,plain,
% 71.93/71.99 (E(f2(x341,f2(x341,a1)),f2(f2(x342,f2(f2(a1,f2(x342,x343)),f2(x343,a1))),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[11,15,28,17,5,3,2])).
% 71.93/71.99 cnf(37,plain,
% 71.93/71.99 (~E(f2(f2(x371,f2(x371,a1)),a1),f2(x372,f2(x372,a1)))),
% 71.93/71.99 inference(scs_inference,[],[10,25,3])).
% 71.93/71.99 cnf(41,plain,
% 71.93/71.99 (E(f2(f2(x411,f2(x411,a1)),f2(x412,f2(x412,a1))),f2(a1,a1))),
% 71.93/71.99 inference(scs_inference,[],[11,12,3])).
% 71.93/71.99 cnf(44,plain,
% 71.93/71.99 (E(f2(a1,a1),f2(f2(x441,f2(x441,a1)),f2(x442,f2(x442,a1))))),
% 71.93/71.99 inference(scs_inference,[],[11,12,3,2])).
% 71.93/71.99 cnf(45,plain,
% 71.93/71.99 (~E(a1,f2(a1,f2(x451,f2(x451,a1))))),
% 71.93/71.99 inference(scs_inference,[],[11,20,3])).
% 71.93/71.99 cnf(48,plain,
% 71.93/71.99 (~E(f2(f2(x481,f2(x481,a1)),a1),a1)),
% 71.93/71.99 inference(scs_inference,[],[11,20,37,3,2,5])).
% 71.93/71.99 cnf(49,plain,
% 71.93/71.99 (~E(f2(f2(x491,f2(f2(f2(a1,a1),f2(x491,x492)),f2(x492,a1))),f2(a1,a1)),a1)),
% 71.93/71.99 inference(scs_inference,[],[13,16,3])).
% 71.93/71.99 cnf(52,plain,
% 71.93/71.99 (E(a1,f2(f2(x521,f2(f2(f2(x522,f2(x522,a1)),f2(x521,x523)),f2(x523,a1))),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[16,9,3])).
% 71.93/71.99 cnf(55,plain,
% 71.93/71.99 (~E(f2(x551,f2(x551,a1)),f2(a1,a1))),
% 71.93/71.99 inference(scs_inference,[],[16,52,30,2,3])).
% 71.93/71.99 cnf(58,plain,
% 71.93/71.99 (~E(f2(f2(x581,f2(f2(f2(x582,f2(x582,a1)),f2(x581,x583)),f2(x583,a1))),f2(a1,a1)),f2(a1,a1))),
% 71.93/71.99 inference(scs_inference,[],[16,55,49,2,3])).
% 71.93/71.99 cnf(60,plain,
% 71.93/71.99 (E(f2(f2(x601,f2(x601,a1)),f2(a1,a1)),f2(x602,f2(x602,a1)))),
% 71.93/71.99 inference(scs_inference,[],[17,12,3])).
% 71.93/71.99 cnf(63,plain,
% 71.93/71.99 (E(f2(x631,f2(x631,a1)),f2(f2(x632,f2(x632,a1)),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[17,12,3,2])).
% 71.93/71.99 cnf(64,plain,
% 71.93/71.99 (~E(f2(a1,a1),f2(f2(x641,f2(f2(f2(x642,f2(x642,a1)),f2(x641,x643)),f2(x643,a1))),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[58,2])).
% 71.93/71.99 cnf(65,plain,
% 71.93/71.99 (~E(a1,f2(f2(x651,f2(x651,a1)),f2(x652,f2(x652,a1))))),
% 71.93/71.99 inference(scs_inference,[],[20,58,41,2,3])).
% 71.93/71.99 cnf(66,plain,
% 71.93/71.99 (~E(f2(a1,f2(x661,f2(x661,a1))),f2(x662,f2(x662,a1)))),
% 71.93/71.99 inference(scs_inference,[],[18,21,3])).
% 71.93/71.99 cnf(68,plain,
% 71.93/71.99 (E(f2(f2(x681,f2(x681,a1)),a1),f2(a1,f2(x682,f2(x682,a1))))),
% 71.93/71.99 inference(scs_inference,[],[21,12,3])).
% 71.93/71.99 cnf(71,plain,
% 71.93/71.99 (E(f2(a1,f2(x711,f2(x711,a1))),f2(f2(x712,f2(x712,a1)),a1))),
% 71.93/71.99 inference(scs_inference,[],[21,12,3,2])).
% 71.93/71.99 cnf(72,plain,
% 71.93/71.99 (~E(f2(x721,f2(x721,a1)),f2(a1,f2(x722,f2(x722,a1))))),
% 71.93/71.99 inference(scs_inference,[],[66,2])).
% 71.93/71.99 cnf(73,plain,
% 71.93/71.99 (~E(f2(x731,f2(f2(f2(a1,a1),f2(x731,x732)),f2(x732,a1))),f2(x733,f2(x733,a1)))),
% 71.93/71.99 inference(scs_inference,[],[66,26,6,2,3])).
% 71.93/71.99 cnf(74,plain,
% 71.93/71.99 (~E(f2(f2(f2(a1,a1),f2(x741,x742)),f2(x742,a1)),f2(x741,a1))),
% 71.93/71.99 inference(scs_inference,[],[66,26,6,2,3,5])).
% 71.93/71.99 cnf(75,plain,
% 71.93/71.99 (~E(f2(f2(x751,f2(x751,a1)),f2(f2(f2(a1,a1),f2(a1,x752)),f2(x752,a1))),f2(x753,f2(x753,a1)))),
% 71.93/71.99 inference(scs_inference,[],[73,24,3])).
% 71.93/71.99 cnf(76,plain,
% 71.93/71.99 (~E(f2(x761,f2(f2(f2(a1,a1),f2(x761,x762)),f2(x762,a1))),f2(x763,f2(x763,a1)))),
% 71.93/71.99 inference(rename_variables,[],[73])).
% 71.93/71.99 cnf(78,plain,
% 71.93/71.99 (~E(f2(x781,f2(x781,a1)),f2(x782,f2(f2(f2(a1,a1),f2(x782,x783)),f2(x783,a1))))),
% 71.93/71.99 inference(scs_inference,[],[73,76,24,3,2])).
% 71.93/71.99 cnf(79,plain,
% 71.93/71.99 (E(a1,f2(f2(x791,f2(x791,a1)),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[24,9,3])).
% 71.93/71.99 cnf(82,plain,
% 71.93/71.99 (E(f2(x821,a1),f2(x821,f2(f2(x822,f2(x822,a1)),f2(a1,a1))))),
% 71.93/71.99 inference(scs_inference,[],[24,9,3,5])).
% 71.93/71.99 cnf(83,plain,
% 71.93/71.99 (E(f2(f2(x831,f2(x831,a1)),f2(a1,a1)),a1)),
% 71.93/71.99 inference(scs_inference,[],[24,9,3,5,2])).
% 71.93/71.99 cnf(84,plain,
% 71.93/71.99 (E(f2(a1,x841),f2(f2(f2(x842,f2(x842,a1)),f2(a1,a1)),x841))),
% 71.93/71.99 inference(scs_inference,[],[24,9,3,5,2,4])).
% 71.93/71.99 cnf(85,plain,
% 71.93/71.99 (~E(f2(x851,a1),f2(f2(f2(a1,a1),f2(x851,x852)),f2(x852,a1)))),
% 71.93/71.99 inference(scs_inference,[],[78,5])).
% 71.93/71.99 cnf(88,plain,
% 71.93/71.99 (~E(f2(f2(a1,a1),a1),f2(x881,f2(x881,a1)))),
% 71.93/71.99 inference(scs_inference,[],[63,78,75,5,2,3])).
% 71.93/71.99 cnf(90,plain,
% 71.93/71.99 (E(f2(x901,f2(f2(x902,f2(x902,a1)),f2(a1,a1))),f2(x901,a1))),
% 71.93/71.99 inference(scs_inference,[],[83,5])).
% 71.93/71.99 cnf(91,plain,
% 71.93/71.99 (E(f2(f2(f2(x911,f2(x911,a1)),f2(a1,a1)),x912),f2(a1,x912))),
% 71.93/71.99 inference(scs_inference,[],[84,83,5,2])).
% 71.93/71.99 cnf(92,plain,
% 71.93/71.99 (~E(f2(f2(x921,f2(x921,a1)),f2(a1,a1)),f2(f2(a1,a1),a1))),
% 71.93/71.99 inference(scs_inference,[],[25,84,74,83,5,2,3])).
% 71.93/71.99 cnf(95,plain,
% 71.93/71.99 (~E(a1,f2(f2(a1,a1),a1))),
% 71.93/71.99 inference(scs_inference,[],[88,5])).
% 71.93/71.99 cnf(97,plain,
% 71.93/71.99 (~E(f2(f2(a1,a1),a1),f2(f2(x971,f2(x971,a1)),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[92,88,5,2])).
% 71.93/71.99 cnf(98,plain,
% 71.93/71.99 (E(f2(a1,a1),f2(f2(x981,f2(x981,a1)),f2(f2(x982,f2(x982,a1)),f2(a1,a1))))),
% 71.93/71.99 inference(scs_inference,[],[24,82,3])).
% 71.93/71.99 cnf(101,plain,
% 71.93/71.99 (E(f2(f2(x1011,f2(x1011,a1)),f2(f2(x1012,f2(x1012,a1)),f2(a1,a1))),f2(a1,a1))),
% 71.93/71.99 inference(scs_inference,[],[98,2])).
% 71.93/71.99 cnf(102,plain,
% 71.93/71.99 (~E(f2(x1021,f2(f2(f2(a1,a1),f2(x1021,x1022)),f2(x1022,a1))),f2(f2(x1023,f2(x1023,a1)),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[98,60,73,2,3])).
% 71.93/71.99 cnf(104,plain,
% 71.93/71.99 (~E(f2(f2(x1041,f2(x1041,a1)),f2(a1,a1)),f2(x1042,f2(f2(f2(a1,a1),f2(x1042,x1043)),f2(x1043,a1))))),
% 71.93/71.99 inference(scs_inference,[],[102,2])).
% 71.93/71.99 cnf(105,plain,
% 71.93/71.99 (~E(f2(f2(a1,a1),f2(f2(x1051,f2(x1051,a1)),f2(a1,a1))),f2(f2(x1052,f2(x1052,a1)),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[97,102,82,2,3])).
% 71.93/71.99 cnf(107,plain,
% 71.93/71.99 (~E(f2(f2(x1071,f2(x1071,a1)),f2(a1,a1)),f2(f2(a1,a1),f2(f2(x1072,f2(x1072,a1)),f2(a1,a1))))),
% 71.93/71.99 inference(scs_inference,[],[105,2])).
% 71.93/71.99 cnf(110,plain,
% 71.93/71.99 (~E(f2(x1101,f2(x1101,a1)),f2(f2(a1,a1),f2(f2(x1102,f2(x1102,a1)),f2(a1,a1))))),
% 71.93/71.99 inference(scs_inference,[],[107,60,3])).
% 71.93/71.99 cnf(112,plain,
% 71.93/71.99 (~E(f2(f2(a1,a1),f2(f2(x1121,f2(x1121,a1)),f2(a1,a1))),f2(x1122,f2(x1122,a1)))),
% 71.93/71.99 inference(scs_inference,[],[110,2])).
% 71.93/71.99 cnf(116,plain,
% 71.93/71.99 (~E(f2(f2(x1161,f2(x1161,a1)),f2(x1162,f2(x1162,a1))),f2(f2(f2(a1,a1),f2(a1,x1163)),f2(x1163,a1)))),
% 71.93/71.99 inference(scs_inference,[],[44,85,3])).
% 71.93/71.99 cnf(118,plain,
% 71.93/71.99 (~E(f2(f2(f2(a1,a1),f2(a1,x1181)),f2(x1181,a1)),f2(f2(x1182,f2(x1182,a1)),f2(x1183,f2(x1183,a1))))),
% 71.93/71.99 inference(scs_inference,[],[116,2])).
% 71.93/71.99 cnf(119,plain,
% 71.93/71.99 (~E(f2(f2(a1,a1),f2(f2(x1191,f2(x1191,a1)),f2(a1,a1))),a1)),
% 71.93/71.99 inference(scs_inference,[],[79,105,3])).
% 71.93/71.99 cnf(121,plain,
% 71.93/71.99 (~E(f2(f2(a1,a1),a1),a1)),
% 71.93/71.99 inference(scs_inference,[],[119,90,3])).
% 71.93/71.99 cnf(125,plain,
% 71.93/71.99 (~E(a1,f2(f2(f2(x1251,f2(x1251,a1)),f2(a1,a1)),f2(x1252,f2(x1252,a1))))),
% 71.93/71.99 inference(scs_inference,[],[45,91,3])).
% 71.93/71.99 cnf(127,plain,
% 71.93/71.99 (~E(f2(f2(x1271,f2(f2(a1,f2(x1271,x1272)),f2(x1272,a1))),f2(a1,a1)),f2(a1,a1))),
% 71.93/71.99 inference(scs_inference,[],[34,55,3])).
% 71.93/71.99 cnf(129,plain,
% 71.93/71.99 (~E(f2(f2(f2(x1291,f2(x1291,a1)),f2(a1,a1)),f2(x1292,f2(x1292,a1))),a1)),
% 71.93/71.99 inference(scs_inference,[],[34,125,55,3,2])).
% 71.93/71.99 cnf(131,plain,
% 71.93/71.99 (~E(f2(f2(f2(a1,a1),f2(a1,x1311)),f2(x1311,a1)),f2(f2(x1312,f2(x1312,a1)),a1))),
% 71.93/71.99 inference(scs_inference,[],[127,118,21,2,3])).
% 71.93/71.99 cnf(134,plain,
% 71.93/71.99 (~E(f2(f2(x1341,f2(x1341,a1)),a1),f2(f2(f2(a1,a1),f2(a1,x1342)),f2(x1342,a1)))),
% 71.93/71.99 inference(scs_inference,[],[131,2])).
% 71.93/71.99 cnf(135,plain,
% 71.93/71.99 (~E(f2(x1351,f2(x1351,a1)),f2(f2(x1352,f2(x1352,a1)),f2(f2(x1353,f2(x1353,a1)),f2(a1,a1))))),
% 71.93/71.99 inference(scs_inference,[],[55,101,3])).
% 71.93/71.99 cnf(136,plain,
% 71.93/71.99 (~E(f2(a1,f2(x1361,f2(x1361,a1))),f2(f2(f2(a1,a1),f2(a1,x1362)),f2(x1362,a1)))),
% 71.93/71.99 inference(scs_inference,[],[134,68,3])).
% 71.93/71.99 cnf(138,plain,
% 71.93/71.99 (~E(f2(f2(x1381,f2(x1381,a1)),f2(f2(x1382,f2(x1382,a1)),f2(a1,a1))),f2(x1383,f2(x1383,a1)))),
% 71.93/71.99 inference(scs_inference,[],[135,2])).
% 71.93/71.99 cnf(139,plain,
% 71.93/71.99 (E(f2(f2(f2(x1391,f2(x1391,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x1392,f2(x1392,a1)),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[63,91,3])).
% 71.93/71.99 cnf(142,plain,
% 71.93/71.99 (E(f2(f2(x1421,f2(x1421,a1)),f2(a1,a1)),f2(f2(f2(x1422,f2(x1422,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[63,91,3,2])).
% 71.93/71.99 cnf(144,plain,
% 71.93/71.99 (~E(f2(f2(a1,a1),a1),f2(f2(f2(x1441,f2(x1441,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.93/71.99 inference(scs_inference,[],[139,136,97,2,3])).
% 71.93/71.99 cnf(146,plain,
% 71.98/71.99 (~E(f2(f2(x1461,f2(x1461,a1)),f2(a1,a1)),f2(a1,f2(x1462,f2(x1462,a1))))),
% 71.98/71.99 inference(scs_inference,[],[63,72,3])).
% 71.98/71.99 cnf(148,plain,
% 71.98/71.99 (E(f2(f2(f2(x1481,f2(x1481,a1)),f2(a1,a1)),f2(a1,a1)),f2(x1482,f2(x1482,a1)))),
% 71.98/71.99 inference(scs_inference,[],[60,139,3])).
% 71.98/71.99 cnf(150,plain,
% 71.98/71.99 (E(f2(x1501,f2(x1501,a1)),f2(f2(f2(x1502,f2(x1502,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/71.99 inference(scs_inference,[],[60,139,3,2])).
% 71.98/71.99 cnf(152,plain,
% 71.98/71.99 (~E(f2(f2(x1521,f2(x1521,a1)),f2(a1,a1)),f2(f2(x1522,f2(x1522,a1)),a1))),
% 71.98/71.99 inference(scs_inference,[],[65,146,68,2,3])).
% 71.98/71.99 cnf(154,plain,
% 71.98/71.99 (~E(f2(f2(f2(x1541,f2(x1541,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x1542,f2(x1542,a1)),a1))),
% 71.98/71.99 inference(scs_inference,[],[142,152,3])).
% 71.98/71.99 cnf(156,plain,
% 71.98/71.99 (~E(f2(f2(f2(x1561,f2(x1561,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(a1,a1),a1))),
% 71.98/71.99 inference(scs_inference,[],[144,142,152,3,2])).
% 71.98/71.99 cnf(159,plain,
% 71.98/71.99 (~E(f2(f2(f2(x1591,f2(x1591,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,f2(x1592,f2(x1592,a1))))),
% 71.98/71.99 inference(scs_inference,[],[154,71,3])).
% 71.98/71.99 cnf(162,plain,
% 71.98/71.99 (E(a1,f2(f2(f2(x1621,f2(x1621,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/71.99 inference(scs_inference,[],[142,79,3])).
% 71.98/71.99 cnf(164,plain,
% 71.98/71.99 (E(f2(a1,x1641),f2(f2(f2(f2(x1642,f2(x1642,a1)),f2(a1,a1)),f2(a1,a1)),x1641))),
% 71.98/71.99 inference(scs_inference,[],[142,79,3,4])).
% 71.98/71.99 cnf(165,plain,
% 71.98/71.99 (E(f2(x1651,a1),f2(x1651,f2(f2(f2(x1652,f2(x1652,a1)),f2(a1,a1)),f2(a1,a1))))),
% 71.98/71.99 inference(scs_inference,[],[142,79,3,4,5])).
% 71.98/71.99 cnf(168,plain,
% 71.98/71.99 (~E(f2(x1681,f2(x1681,a1)),f2(f2(f2(x1682,f2(x1682,a1)),f2(a1,a1)),f2(x1683,f2(x1683,a1))))),
% 71.98/71.99 inference(scs_inference,[],[72,164,91,2,3])).
% 71.98/71.99 cnf(170,plain,
% 71.98/71.99 (~E(f2(f2(f2(x1701,f2(x1701,a1)),f2(a1,a1)),f2(x1702,f2(x1702,a1))),f2(x1703,f2(x1703,a1)))),
% 71.98/71.99 inference(scs_inference,[],[168,2])).
% 71.98/71.99 cnf(171,plain,
% 71.98/71.99 (~E(f2(f2(a1,a1),f2(f2(f2(x1711,f2(x1711,a1)),f2(a1,a1)),f2(a1,a1))),a1)),
% 71.98/71.99 inference(scs_inference,[],[121,168,165,2,3])).
% 71.98/71.99 cnf(173,plain,
% 71.98/71.99 (E(f2(f2(f2(x1731,f2(x1731,a1)),f2(a1,a1)),f2(a1,a1)),a1)),
% 71.98/71.99 inference(scs_inference,[],[162,2])).
% 71.98/71.99 cnf(178,plain,
% 71.98/71.99 (~E(f2(f2(f2(x1781,f2(x1781,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(a1,a1),f2(x1782,f2(x1782,a1))))),
% 71.98/71.99 inference(scs_inference,[],[156,159,11,2,3])).
% 71.98/71.99 cnf(180,plain,
% 71.98/71.99 (E(f2(x1801,f2(f2(f2(x1802,f2(x1802,a1)),f2(a1,a1)),f2(a1,a1))),f2(x1801,a1))),
% 71.98/71.99 inference(scs_inference,[],[156,159,173,11,2,3,5])).
% 71.98/71.99 cnf(184,plain,
% 71.98/71.99 (~E(f2(f2(a1,a1),f2(x1841,f2(x1841,a1))),f2(f2(f2(x1842,f2(x1842,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/71.99 inference(scs_inference,[],[178,2])).
% 71.98/71.99 cnf(190,plain,
% 71.98/71.99 (~E(f2(f2(a1,a1),f2(x1901,f2(x1901,a1))),f2(x1902,f2(x1902,a1)))),
% 71.98/71.99 inference(scs_inference,[],[184,150,3])).
% 71.98/71.99 cnf(192,plain,
% 71.98/71.99 (~E(f2(x1921,f2(x1921,a1)),f2(f2(a1,a1),a1))),
% 71.98/71.99 inference(scs_inference,[],[190,5])).
% 71.98/71.99 cnf(196,plain,
% 71.98/71.99 (E(f2(a1,a1),f2(f2(f2(x1961,f2(x1961,a1)),f2(a1,a1)),f2(f2(x1962,f2(x1962,a1)),f2(a1,a1))))),
% 71.98/71.99 inference(scs_inference,[],[82,84,3])).
% 71.98/71.99 cnf(200,plain,
% 71.98/71.99 (~E(f2(x2001,f2(x2001,a1)),f2(f2(a1,a1),f2(x2002,f2(x2002,a1))))),
% 71.98/71.99 inference(scs_inference,[],[196,192,11,2,3])).
% 71.98/71.99 cnf(205,plain,
% 71.98/71.99 (E(f2(a1,a1),f2(f2(f2(x2051,f2(x2051,a1)),f2(a1,a1)),f2(x2052,f2(x2052,a1))))),
% 71.98/71.99 inference(scs_inference,[],[84,21,3])).
% 71.98/71.99 cnf(210,plain,
% 71.98/71.99 (~E(f2(f2(f2(x2101,f2(x2101,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),
% 71.98/71.99 inference(scs_inference,[],[205,162,20,2,3])).
% 71.98/71.99 cnf(211,plain,
% 71.98/71.99 (~E(f2(a1,a1),f2(f2(f2(x2111,f2(x2111,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/71.99 inference(scs_inference,[],[210,2])).
% 71.98/71.99 cnf(212,plain,
% 71.98/71.99 (E(f2(f2(x2121,f2(x2121,a1)),f2(a1,a1)),f2(f2(f2(f2(x2122,f2(x2122,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/71.99 inference(scs_inference,[],[164,60,3])).
% 71.98/71.99 cnf(215,plain,
% 71.98/71.99 (E(f2(f2(f2(f2(x2151,f2(x2151,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x2152,f2(x2152,a1)),f2(a1,a1)))),
% 71.98/71.99 inference(scs_inference,[],[212,2])).
% 71.98/71.99 cnf(221,plain,
% 71.98/71.99 (E(a1,f2(f2(f2(f2(x2211,f2(x2211,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/71.99 inference(scs_inference,[],[212,79,3])).
% 71.98/71.99 cnf(223,plain,
% 71.98/71.99 (E(f2(a1,x2231),f2(f2(f2(f2(f2(x2232,f2(x2232,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),x2231))),
% 71.98/71.99 inference(scs_inference,[],[212,79,3,4])).
% 71.98/71.99 cnf(225,plain,
% 71.98/71.99 (E(f2(x2251,a1),f2(x2251,f2(f2(f2(f2(x2252,f2(x2252,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))))),
% 71.98/71.99 inference(scs_inference,[],[171,212,79,3,4,2,5])).
% 71.98/71.99 cnf(227,plain,
% 71.98/71.99 (~E(f2(a1,a1),f2(f2(x2271,f2(x2271,a1)),f2(a1,a1)))),
% 71.98/71.99 inference(scs_inference,[],[211,223,142,2,3])).
% 71.98/71.99 cnf(229,plain,
% 71.98/71.99 (~E(f2(f2(x2291,f2(x2291,a1)),f2(a1,a1)),f2(a1,a1))),
% 71.98/71.99 inference(scs_inference,[],[227,2])).
% 71.98/71.99 cnf(230,plain,
% 71.98/71.99 (~E(f2(f2(a1,a1),f2(f2(f2(f2(x2301,f2(x2301,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),a1)),
% 71.98/71.99 inference(scs_inference,[],[227,225,121,2,3])).
% 71.98/71.99 cnf(232,plain,
% 71.98/71.99 (E(f2(f2(f2(f2(x2321,f2(x2321,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),a1)),
% 71.98/71.99 inference(scs_inference,[],[221,2])).
% 71.98/71.99 cnf(233,plain,
% 71.98/71.99 (E(f2(x2331,f2(x2331,a1)),f2(f2(f2(f2(x2332,f2(x2332,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[221,6,2,3])).
% 71.98/72.00 cnf(237,plain,
% 71.98/72.00 (E(f2(x2371,f2(f2(f2(f2(x2372,f2(x2372,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),f2(x2371,a1))),
% 71.98/72.00 inference(scs_inference,[],[91,229,230,232,2,3,5])).
% 71.98/72.00 cnf(238,plain,
% 71.98/72.00 (E(f2(f2(f2(f2(x2381,f2(x2381,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(x2382,f2(x2382,a1)))),
% 71.98/72.00 inference(scs_inference,[],[233,2])).
% 71.98/72.00 cnf(260,plain,
% 71.98/72.00 (~E(f2(x2601,f2(x2601,a1)),f2(a1,f2(f2(x2602,f2(x2602,a1)),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[135,24,3])).
% 71.98/72.00 cnf(262,plain,
% 71.98/72.00 (~E(f2(f2(x2621,f2(x2621,a1)),f2(a1,a1)),f2(f2(a1,a1),f2(x2622,f2(x2622,a1))))),
% 71.98/72.00 inference(scs_inference,[],[139,178,3])).
% 71.98/72.00 cnf(264,plain,
% 71.98/72.00 (~E(f2(f2(a1,a1),f2(x2641,f2(x2641,a1))),f2(f2(x2642,f2(x2642,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[262,2])).
% 71.98/72.00 cnf(265,plain,
% 71.98/72.00 (~E(f2(f2(a1,a1),f2(x2651,f2(x2651,a1))),a1)),
% 71.98/72.00 inference(scs_inference,[],[264,79,3])).
% 71.98/72.00 cnf(267,plain,
% 71.98/72.00 (~E(f2(a1,f2(f2(x2671,f2(x2671,a1)),f2(a1,a1))),f2(x2672,f2(x2672,a1)))),
% 71.98/72.00 inference(scs_inference,[],[260,2])).
% 71.98/72.00 cnf(268,plain,
% 71.98/72.00 (~E(a1,f2(f2(a1,a1),f2(x2681,f2(x2681,a1))))),
% 71.98/72.00 inference(scs_inference,[],[265,2])).
% 71.98/72.00 cnf(269,plain,
% 71.98/72.00 (~E(f2(f2(x2691,f2(x2691,a1)),f2(a1,a1)),f2(f2(x2692,f2(x2692,a1)),f2(x2693,f2(x2693,a1))))),
% 71.98/72.00 inference(scs_inference,[],[146,12,3])).
% 71.98/72.00 cnf(271,plain,
% 71.98/72.00 (~E(f2(f2(x2711,f2(x2711,a1)),f2(x2712,f2(x2712,a1))),f2(f2(x2713,f2(x2713,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[269,2])).
% 71.98/72.00 cnf(275,plain,
% 71.98/72.00 (E(f2(a1,a1),f2(f2(x2751,f2(x2751,a1)),f2(f2(f2(x2752,f2(x2752,a1)),f2(a1,a1)),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[165,24,3])).
% 71.98/72.00 cnf(278,plain,
% 71.98/72.00 (E(f2(f2(x2781,f2(x2781,a1)),f2(f2(f2(x2782,f2(x2782,a1)),f2(a1,a1)),f2(a1,a1))),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[275,2])).
% 71.98/72.00 cnf(282,plain,
% 71.98/72.00 (~E(f2(f2(f2(f2(f2(x2821,f2(x2821,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(a1,a1),a1))),
% 71.98/72.00 inference(scs_inference,[],[223,192,3])).
% 71.98/72.00 cnf(286,plain,
% 71.98/72.00 (E(a1,f2(f2(f2(f2(f2(x2861,f2(x2861,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[223,282,9,2,3])).
% 71.98/72.00 cnf(289,plain,
% 71.98/72.00 (E(f2(f2(f2(f2(f2(x2891,f2(x2891,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),a1)),
% 71.98/72.00 inference(scs_inference,[],[286,2])).
% 71.98/72.00 cnf(293,plain,
% 71.98/72.00 (E(f2(x2931,f2(x2931,a1)),f2(f2(f2(f2(f2(x2932,f2(x2932,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[289,9,3,2])).
% 71.98/72.00 cnf(309,plain,
% 71.98/72.00 (E(f2(a1,f2(f2(x3091,f2(x3091,a1)),a1)),a1)),
% 71.98/72.00 inference(scs_inference,[],[6,24,3])).
% 71.98/72.00 cnf(312,plain,
% 71.98/72.00 (E(a1,f2(a1,f2(f2(x3121,f2(x3121,a1)),a1)))),
% 71.98/72.00 inference(scs_inference,[],[6,24,3,2])).
% 71.98/72.00 cnf(313,plain,
% 71.98/72.00 (~E(f2(a1,a1),f2(a1,f2(f2(x3131,f2(x3131,a1)),a1)))),
% 71.98/72.00 inference(scs_inference,[],[309,13,3])).
% 71.98/72.00 cnf(314,plain,
% 71.98/72.00 (~E(f2(a1,f2(f2(x3141,f2(x3141,a1)),a1)),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[313,2])).
% 71.98/72.00 cnf(318,plain,
% 71.98/72.00 (~E(f2(x3181,f2(x3182,f2(x3182,a1))),f2(f2(f2(a1,a1),f2(x3181,x3183)),f2(x3183,a1)))),
% 71.98/72.00 inference(scs_inference,[],[21,85,3])).
% 71.98/72.00 cnf(320,plain,
% 71.98/72.00 (~E(f2(f2(f2(a1,a1),f2(x3201,x3202)),f2(x3202,a1)),f2(x3201,f2(x3203,f2(x3203,a1))))),
% 71.98/72.00 inference(scs_inference,[],[318,2])).
% 71.98/72.00 cnf(330,plain,
% 71.98/72.00 (~E(f2(f2(f2(a1,a1),f2(f2(x3301,f2(x3301,a1)),x3302)),f2(x3302,a1)),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[104,5,2])).
% 71.98/72.00 cnf(331,plain,
% 71.98/72.00 (E(f2(f2(f2(x3311,f2(x3311,a1)),f2(a1,a1)),f2(f2(f2(f2(x3312,f2(x3312,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[91,104,237,5,2,3])).
% 71.98/72.00 cnf(334,plain,
% 71.98/72.00 (E(f2(f2(x3341,f2(f2(x3342,f2(x3342,a1)),f2(a1,a1))),x3343),f2(f2(x3341,a1),x3343))),
% 71.98/72.00 inference(scs_inference,[],[90,91,104,237,5,2,3,4])).
% 71.98/72.00 cnf(335,plain,
% 71.98/72.00 (E(f2(x3351,f2(x3352,f2(f2(x3353,f2(x3353,a1)),f2(a1,a1)))),f2(x3351,f2(x3352,a1)))),
% 71.98/72.00 inference(scs_inference,[],[90,5])).
% 71.98/72.00 cnf(337,plain,
% 71.98/72.00 (~E(f2(f2(x3371,f2(x3371,a1)),f2(x3372,f2(x3372,a1))),f2(f2(f2(f2(x3373,f2(x3373,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[90,331,215,271,5,2,3])).
% 71.98/72.00 cnf(340,plain,
% 71.98/72.00 (~E(f2(f2(f2(a1,a1),a1),f2(f2(a1,a1),a1)),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[337,330,334,2,3])).
% 71.98/72.00 cnf(343,plain,
% 71.98/72.00 (E(f2(x3431,f2(f2(f2(x3432,f2(x3432,a1)),f2(a1,a1)),x3433)),f2(x3431,f2(a1,x3433)))),
% 71.98/72.00 inference(scs_inference,[],[91,337,330,334,2,3,5])).
% 71.98/72.00 cnf(344,plain,
% 71.98/72.00 (E(f2(x3441,f2(x3442,a1)),f2(x3441,f2(x3442,f2(f2(x3443,f2(x3443,a1)),f2(a1,a1)))))),
% 71.98/72.00 inference(scs_inference,[],[335,2])).
% 71.98/72.00 cnf(345,plain,
% 71.98/72.00 (E(f2(f2(f2(x3451,f2(x3451,a1)),f2(a1,a1)),f2(f2(f2(x3452,f2(x3452,a1)),f2(a1,a1)),f2(a1,a1))),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[91,335,180,2,3])).
% 71.98/72.00 cnf(348,plain,
% 71.98/72.00 (~E(f2(a1,a1),f2(f2(f2(a1,a1),a1),f2(f2(a1,a1),a1)))),
% 71.98/72.00 inference(scs_inference,[],[340,2])).
% 71.98/72.00 cnf(349,plain,
% 71.98/72.00 (~E(f2(f2(f2(a1,a1),a1),f2(f2(a1,a1),a1)),f2(f2(f2(x3491,f2(x3491,a1)),f2(a1,a1)),a1))),
% 71.98/72.00 inference(scs_inference,[],[91,340,2,3])).
% 71.98/72.00 cnf(350,plain,
% 71.98/72.00 (E(f2(f2(f2(x3501,f2(x3501,a1)),f2(a1,a1)),x3502),f2(a1,x3502))),
% 71.98/72.00 inference(rename_variables,[],[91])).
% 71.98/72.00 cnf(351,plain,
% 71.98/72.00 (E(f2(f2(f2(f2(x3511,f2(x3511,a1)),f2(a1,a1)),x3512),x3513),f2(f2(a1,x3512),x3513))),
% 71.98/72.00 inference(scs_inference,[],[91,350,340,2,3,4])).
% 71.98/72.00 cnf(353,plain,
% 71.98/72.00 (~E(f2(a1,f2(f2(x3531,f2(x3531,a1)),a1)),f2(f2(a1,a1),a1))),
% 71.98/72.00 inference(scs_inference,[],[95,345,312,2,3])).
% 71.98/72.00 cnf(355,plain,
% 71.98/72.00 (E(f2(f2(f2(f2(x3551,f2(x3551,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(x3552,f2(x3552,a1)),f2(a1,a1)),f2(a1,a1))),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[278,351,349,2,3])).
% 71.98/72.00 cnf(360,plain,
% 71.98/72.00 (~E(f2(f2(a1,a1),f2(f2(x3601,f2(x3601,a1)),f2(a1,a1))),f2(f2(f2(f2(x3602,f2(x3602,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[355,238,112,2,3])).
% 71.98/72.00 cnf(363,plain,
% 71.98/72.00 (~E(f2(f2(x3631,f2(f2(f2(x3632,f2(x3632,a1)),f2(x3631,x3633)),f2(x3633,a1))),f2(a1,a1)),f2(f2(a1,a1),a1))),
% 71.98/72.00 inference(scs_inference,[],[95,360,52,2,3])).
% 71.98/72.00 cnf(364,plain,
% 71.98/72.00 (E(f2(f2(f2(x3641,f2(x3641,a1)),f2(x3642,f2(x3642,a1))),x3643),f2(f2(a1,a1),x3643))),
% 71.98/72.00 inference(scs_inference,[],[95,360,41,52,2,3,4])).
% 71.98/72.00 cnf(365,plain,
% 71.98/72.00 (E(f2(f2(a1,a1),x3651),f2(f2(f2(x3652,f2(x3652,a1)),f2(x3653,f2(x3653,a1))),x3651))),
% 71.98/72.00 inference(scs_inference,[],[364,2])).
% 71.98/72.00 cnf(369,plain,
% 71.98/72.00 (~E(f2(f2(f2(a1,a1),f2(f2(f2(x3691,f2(x3691,a1)),f2(a1,a1)),x3692)),f2(x3692,a1)),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[363,320,205,2,3])).
% 71.98/72.00 cnf(372,plain,
% 71.98/72.00 (E(f2(x3721,f2(f2(f2(x3722,f2(x3722,a1)),f2(a1,a1)),f2(a1,a1))),f2(x3721,f2(x3723,f2(x3723,a1))))),
% 71.98/72.00 inference(scs_inference,[],[363,320,205,148,2,3,5])).
% 71.98/72.00 cnf(373,plain,
% 71.98/72.00 (E(f2(x3731,f2(x3732,f2(x3732,a1))),f2(x3731,f2(f2(f2(x3733,f2(x3733,a1)),f2(a1,a1)),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[372,2])).
% 71.98/72.00 cnf(374,plain,
% 71.98/72.00 (~E(f2(a1,f2(f2(x3741,f2(x3741,a1)),f2(f2(x3742,f2(x3742,a1)),f2(a1,a1)))),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[372,314,344,2,3])).
% 71.98/72.00 cnf(377,plain,
% 71.98/72.00 (E(f2(f2(f2(f2(x3771,f2(x3771,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x3772,f2(x3772,a1)),f2(a1,a1))),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[101,369,351,2,3])).
% 71.98/72.00 cnf(382,plain,
% 71.98/72.00 (~E(f2(x3821,f2(f2(f2(a1,a1),f2(x3821,x3822)),f2(x3822,a1))),f2(f2(f2(f2(x3823,f2(x3823,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[102,377,215,2,3])).
% 71.98/72.00 cnf(385,plain,
% 71.98/72.00 (~E(f2(f2(f2(x3851,f2(x3851,a1)),f2(a1,a1)),f2(f2(f2(x3852,f2(x3852,a1)),f2(a1,a1)),f2(a1,a1))),f2(x3853,f2(x3853,a1)))),
% 71.98/72.00 inference(scs_inference,[],[373,382,170,2,3])).
% 71.98/72.00 cnf(388,plain,
% 71.98/72.00 (E(f2(x3881,f2(a1,a1)),f2(x3881,f2(f2(x3882,f2(x3882,a1)),f2(x3883,f2(x3883,a1)))))),
% 71.98/72.00 inference(scs_inference,[],[373,382,170,44,2,3,5])).
% 71.98/72.00 cnf(389,plain,
% 71.98/72.00 (E(f2(x3891,f2(f2(x3892,f2(x3892,a1)),f2(x3893,f2(x3893,a1)))),f2(x3891,f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[388,2])).
% 71.98/72.00 cnf(390,plain,
% 71.98/72.00 (E(a1,f2(f2(x3901,f2(x3901,a1)),f2(f2(x3902,f2(x3902,a1)),f2(x3903,f2(x3903,a1)))))),
% 71.98/72.00 inference(scs_inference,[],[388,79,2,3])).
% 71.98/72.00 cnf(393,plain,
% 71.98/72.00 (~E(f2(f2(f2(x3931,f2(x3931,a1)),f2(a1,a1)),f2(x3932,f2(x3932,a1))),f2(f2(f2(x3933,f2(x3933,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[385,129,173,2,3])).
% 71.98/72.00 cnf(395,plain,
% 71.98/72.00 (E(f2(x3951,f2(a1,x3952)),f2(x3951,f2(f2(f2(x3953,f2(x3953,a1)),f2(a1,a1)),x3952)))),
% 71.98/72.00 inference(scs_inference,[],[343,2])).
% 71.98/72.00 cnf(399,plain,
% 71.98/72.00 (E(f2(f2(a1,a1),a1),f2(f2(f2(x3991,f2(x3991,a1)),f2(x3992,f2(x3992,a1))),f2(x3993,f2(x3993,a1))))),
% 71.98/72.00 inference(scs_inference,[],[365,393,21,2,3])).
% 71.98/72.00 cnf(402,plain,
% 71.98/72.00 (E(f2(x4021,a1),f2(x4021,f2(f2(f2(f2(f2(x4022,f2(x4022,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[365,393,286,21,2,3,5])).
% 71.98/72.00 cnf(404,plain,
% 71.98/72.00 (~E(f2(f2(x4041,f2(x4041,a1)),f2(f2(x4042,f2(x4042,a1)),f2(a1,a1))),f2(f2(f2(x4043,f2(x4043,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[399,138,148,2,3])).
% 71.98/72.00 cnf(407,plain,
% 71.98/72.00 (~E(f2(f2(f2(f2(f2(x4071,f2(x4071,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(a1,a1),f2(x4072,f2(x4072,a1))))),
% 71.98/72.00 inference(scs_inference,[],[404,293,200,2,3])).
% 71.98/72.00 cnf(409,plain,
% 71.98/72.00 (E(f2(f2(x4091,f2(x4091,a1)),x4092),f2(f2(f2(f2(x4093,f2(x4093,a1)),f2(a1,a1)),f2(a1,a1)),x4092))),
% 71.98/72.00 inference(scs_inference,[],[404,293,200,150,2,3,4])).
% 71.98/72.00 cnf(410,plain,
% 71.98/72.00 (E(f2(f2(f2(f2(x4101,f2(x4101,a1)),f2(a1,a1)),f2(a1,a1)),x4102),f2(f2(x4103,f2(x4103,a1)),x4102))),
% 71.98/72.00 inference(scs_inference,[],[409,2])).
% 71.98/72.00 cnf(415,plain,
% 71.98/72.00 (~E(f2(a1,f2(f2(x4151,f2(x4151,a1)),f2(a1,a1))),f2(f2(f2(f2(x4152,f2(x4152,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[407,267,238,2,3])).
% 71.98/72.00 cnf(423,plain,
% 71.98/72.00 (E(a1,f2(f2(x4231,f2(x4231,a1)),f2(f2(f2(x4232,f2(x4232,a1)),f2(a1,a1)),a1)))),
% 71.98/72.00 inference(scs_inference,[],[395,374,79,2,3])).
% 71.98/72.00 cnf(430,plain,
% 71.98/72.00 (~E(f2(f2(f2(x4301,f2(x4301,a1)),a1),f2(a1,a1)),f2(f2(a1,a1),a1))),
% 71.98/72.00 inference(scs_inference,[],[415,363,334,2,3])).
% 71.98/72.00 cnf(433,plain,
% 71.98/72.00 (E(f2(x4331,f2(f2(x4332,f2(f2(x4333,f2(x4332,x4334)),f2(x4334,a1))),f2(a1,a1))),f2(x4331,x4333))),
% 71.98/72.00 inference(scs_inference,[],[415,363,334,7,2,3,5])).
% 71.98/72.00 cnf(434,plain,
% 71.98/72.00 (E(f2(x4341,x4342),f2(x4341,f2(f2(x4343,f2(f2(x4342,f2(x4343,x4344)),f2(x4344,a1))),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[433,2])).
% 71.98/72.00 cnf(439,plain,
% 71.98/72.00 (~E(f2(f2(a1,a1),f2(f2(x4391,f2(x4391,a1)),f2(a1,a1))),f2(f2(f2(x4392,f2(x4392,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[112,430,395,2,3])).
% 71.98/72.00 cnf(442,plain,
% 71.98/72.00 (E(f2(f2(a1,x4421),x4422),f2(f2(f2(f2(x4423,f2(x4423,a1)),f2(a1,a1)),x4421),x4422))),
% 71.98/72.00 inference(scs_inference,[],[112,430,395,84,2,3,4])).
% 71.98/72.00 cnf(450,plain,
% 71.98/72.00 (E(f2(x4501,f2(x4502,f2(x4502,a1))),f2(x4501,f2(f2(x4503,f2(x4503,a1)),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[439,442,34,63,2,3,5])).
% 71.98/72.00 cnf(451,plain,
% 71.98/72.00 (E(f2(x4511,f2(f2(x4512,f2(x4512,a1)),f2(a1,a1))),f2(x4511,f2(x4513,f2(x4513,a1))))),
% 71.98/72.00 inference(scs_inference,[],[450,2])).
% 71.98/72.00 cnf(452,plain,
% 71.98/72.00 (~E(f2(f2(f2(a1,a1),f2(a1,x4521)),f2(x4521,a1)),f2(f2(f2(f2(x4522,f2(x4522,a1)),f2(a1,a1)),f2(a1,a1)),f2(x4523,f2(x4523,a1))))),
% 71.98/72.00 inference(scs_inference,[],[118,410,450,2,3])).
% 71.98/72.00 cnf(455,plain,
% 71.98/72.00 (~E(f2(f2(a1,a1),f2(x4551,f2(x4551,a1))),f2(f2(f2(f2(x4552,f2(x4552,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[451,452,360,2,3])).
% 71.98/72.00 cnf(463,plain,
% 71.98/72.00 (~E(f2(f2(f2(a1,a1),f2(a1,x4631)),f2(x4631,a1)),f2(f2(x4632,f2(x4632,a1)),f2(f2(f2(x4633,f2(x4633,a1)),f2(a1,a1)),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[118,372,3])).
% 71.98/72.00 cnf(466,plain,
% 71.98/72.00 (E(f2(x4661,f2(x4662,a1)),f2(x4661,f2(x4662,f2(x4663,f2(x4663,a1)))))),
% 71.98/72.00 inference(scs_inference,[],[118,455,372,21,3,2,5])).
% 71.98/72.00 cnf(467,plain,
% 71.98/72.00 (E(f2(x4671,f2(x4672,f2(x4673,f2(x4673,a1)))),f2(x4671,f2(x4672,a1)))),
% 71.98/72.00 inference(scs_inference,[],[466,2])).
% 71.98/72.00 cnf(473,plain,
% 71.98/72.00 (E(f2(f2(f2(x4731,f2(x4731,a1)),f2(a1,a1)),x4732),f2(f2(x4733,f2(x4733,a1)),x4732))),
% 71.98/72.00 inference(scs_inference,[],[389,463,466,60,3,2,4])).
% 71.98/72.00 cnf(474,plain,
% 71.98/72.00 (E(f2(f2(x4741,f2(x4741,a1)),x4742),f2(f2(f2(x4743,f2(x4743,a1)),f2(a1,a1)),x4742))),
% 71.98/72.00 inference(scs_inference,[],[473,2])).
% 71.98/72.00 cnf(475,plain,
% 71.98/72.00 (~E(f2(a1,a1),f2(f2(f2(a1,a1),a1),f2(f2(a1,a1),f2(x4751,f2(x4751,a1)))))),
% 71.98/72.00 inference(scs_inference,[],[348,473,467,2,3])).
% 71.98/72.00 cnf(480,plain,
% 71.98/72.00 (E(f2(x4801,f2(a1,x4802)),f2(x4801,f2(f2(x4803,f2(x4803,a1)),x4802)))),
% 71.98/72.00 inference(scs_inference,[],[121,475,402,24,2,3,5])).
% 71.98/72.00 cnf(483,plain,
% 71.98/72.00 (E(f2(x4831,f2(f2(x4832,f2(x4832,a1)),x4833)),f2(x4831,f2(a1,x4833)))),
% 71.98/72.00 inference(scs_inference,[],[474,480,473,3,2])).
% 71.98/72.00 cnf(488,plain,
% 71.98/72.00 (E(f2(f2(x4881,a1),x4882),f2(f2(x4881,f2(f2(x4883,f2(x4883,a1)),f2(a1,a1))),x4882))),
% 71.98/72.00 inference(scs_inference,[],[125,353,343,82,2,3,4])).
% 71.98/72.00 cnf(489,plain,
% 71.98/72.00 (~E(f2(f2(x4891,f2(x4891,a1)),f2(a1,f2(a1,a1))),f2(f2(f2(x4892,f2(x4892,a1)),f2(a1,a1)),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[483,404,3])).
% 71.98/72.00 cnf(494,plain,
% 71.98/72.00 (E(a1,f2(f2(x4941,f2(x4941,a1)),f2(f2(x4942,f2(f2(f2(a1,a1),f2(x4942,x4943)),f2(x4943,a1))),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[489,434,79,2,3])).
% 71.98/72.00 cnf(517,plain,
% 71.98/72.00 (~E(f2(f2(x5171,f2(x5171,a1)),f2(a1,a1)),f2(f2(x5172,f2(f2(f2(a1,a1),f2(x5172,x5173)),f2(x5173,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[7,229,494,2,3])).
% 71.98/72.00 cnf(523,plain,
% 71.98/72.00 (~E(f2(f2(f2(f2(a1,a1),a1),f2(x5231,x5232)),f2(x5232,a1)),f2(x5231,a1))),
% 71.98/72.00 inference(scs_inference,[],[16,97,517,2,3,4,5])).
% 71.98/72.00 cnf(525,plain,
% 71.98/72.00 (E(f2(f2(f2(x5251,f2(x5251,a1)),x5252),x5253),f2(f2(a1,x5252),x5253))),
% 71.98/72.00 inference(scs_inference,[],[390,12,2,4])).
% 71.98/72.00 cnf(528,plain,
% 71.98/72.00 (~E(f2(x5281,a1),f2(f2(f2(f2(a1,a1),a1),f2(x5281,x5282)),f2(x5282,a1)))),
% 71.98/72.00 inference(scs_inference,[],[523,2])).
% 71.98/72.00 cnf(545,plain,
% 71.98/72.00 (E(f2(f2(f2(x5451,f2(x5451,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x5452,f2(f2(a1,f2(x5452,x5453)),f2(x5453,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[16,173,423,2,3])).
% 71.98/72.00 cnf(553,plain,
% 71.98/72.00 (~E(f2(x5531,f2(f2(f2(x5532,a1),f2(x5531,x5533)),f2(x5533,a1))),f2(f2(f2(a1,a1),a1),f2(x5532,a1)))),
% 71.98/72.00 inference(scs_inference,[],[16,545,528,2,3,4])).
% 71.98/72.00 cnf(562,plain,
% 71.98/72.00 (~E(f2(f2(x5621,f2(f2(a1,f2(x5621,x5622)),f2(x5622,a1))),f2(a1,a1)),f2(f2(a1,a1),f2(x5623,f2(x5623,a1))))),
% 71.98/72.00 inference(scs_inference,[],[16,268,553,2,3])).
% 71.98/72.00 cnf(610,plain,
% 71.98/72.00 (~E(f2(f2(x6101,f2(f2(f2(f2(f2(x6102,f2(x6102,a1)),f2(a1,a1)),f2(a1,a1)),f2(x6101,x6103)),f2(x6103,a1))),f2(a1,a1)),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[16,210,562,2,3])).
% 71.98/72.00 cnf(619,plain,
% 71.98/72.00 (~E(f2(f2(x6191,f2(f2(f2(f2(f2(f2(a1,a1),a1),f2(x6192,x6193)),f2(x6193,a1)),f2(x6191,x6194)),f2(x6194,a1))),f2(a1,a1)),f2(x6192,a1))),
% 71.98/72.00 inference(scs_inference,[],[16,523,610,2,3])).
% 71.98/72.00 cnf(621,plain,
% 71.98/72.00 (E(f2(f2(f2(x6211,f2(x6211,a1)),f2(f2(x6212,f2(a1,x6213)),f2(x6213,a1))),f2(a1,a1)),x6212)),
% 71.98/72.00 inference(scs_inference,[],[7,525,3])).
% 71.98/72.00 cnf(625,plain,
% 71.98/72.00 (~E(f2(f2(x6251,f2(x6251,a1)),f2(a1,a1)),f2(f2(f2(x6252,f2(x6252,a1)),f2(f2(f2(a1,a1),f2(a1,x6253)),f2(x6253,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[229,621,2,3])).
% 71.98/72.00 cnf(626,plain,
% 71.98/72.00 (E(f2(f2(f2(x6261,f2(x6261,a1)),f2(f2(x6262,f2(a1,x6263)),f2(x6263,a1))),f2(a1,a1)),x6262)),
% 71.98/72.00 inference(rename_variables,[],[621])).
% 71.98/72.00 cnf(627,plain,
% 71.98/72.00 (E(f2(f2(f2(f2(x6271,f2(x6271,a1)),f2(f2(x6272,f2(a1,x6273)),f2(x6273,a1))),f2(a1,a1)),x6274),f2(x6272,x6274))),
% 71.98/72.00 inference(scs_inference,[],[229,621,626,2,3,4])).
% 71.98/72.00 cnf(630,plain,
% 71.98/72.00 (~E(f2(f2(x6301,f2(f2(f2(f2(x6302,f2(x6302,a1)),f2(a1,a1)),f2(x6301,x6303)),f2(x6303,a1))),f2(a1,a1)),f2(f2(a1,a1),a1))),
% 71.98/72.00 inference(scs_inference,[],[16,92,619,2,3])).
% 71.98/72.00 cnf(633,plain,
% 71.98/72.00 (E(f2(f2(x6331,a1),f2(a1,a1)),x6331)),
% 71.98/72.00 inference(scs_inference,[],[7,627,488,2,3])).
% 71.98/72.00 cnf(637,plain,
% 71.98/72.00 (~E(f2(f2(x6371,f2(x6371,a1)),f2(a1,a1)),f2(f2(f2(a1,a1),a1),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[229,633,630,2,3])).
% 71.98/72.00 cnf(639,plain,
% 71.98/72.00 (E(x6391,f2(f2(x6391,a1),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[633,2])).
% 71.98/72.00 cnf(640,plain,
% 71.98/72.00 (~E(f2(f2(x6401,f2(f2(f2(f2(a1,a1),f2(x6402,f2(x6402,a1))),f2(x6401,x6403)),f2(x6403,a1))),f2(a1,a1)),a1)),
% 71.98/72.00 inference(scs_inference,[],[16,633,265,2,3])).
% 71.98/72.00 cnf(642,plain,
% 71.98/72.00 (E(f2(f2(f2(x6421,a1),f2(a1,a1)),x6422),f2(x6421,x6422))),
% 71.98/72.00 inference(scs_inference,[],[16,633,265,2,3,4])).
% 71.98/72.00 cnf(645,plain,
% 71.98/72.00 (E(x6451,f2(f2(x6452,f2(f2(f2(f2(x6451,a1),f2(a1,a1)),f2(x6452,x6453)),f2(x6453,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[16,639,637,2,3])).
% 71.98/72.00 cnf(647,plain,
% 71.98/72.00 (E(f2(f2(x6471,f2(f2(f2(f2(x6472,a1),f2(a1,a1)),f2(x6471,x6473)),f2(x6473,a1))),f2(a1,a1)),x6472)),
% 71.98/72.00 inference(scs_inference,[],[645,2])).
% 71.98/72.00 cnf(651,plain,
% 71.98/72.00 (~E(f2(f2(x6511,f2(f2(f2(f2(x6512,f2(x6512,a1)),a1),f2(x6511,x6513)),f2(x6513,a1))),f2(a1,a1)),a1)),
% 71.98/72.00 inference(scs_inference,[],[16,48,625,2,3])).
% 71.98/72.00 cnf(653,plain,
% 71.98/72.00 (E(f2(x6531,x6532),f2(f2(f2(x6531,a1),f2(a1,a1)),x6532))),
% 71.98/72.00 inference(scs_inference,[],[642,2])).
% 71.98/72.00 cnf(657,plain,
% 71.98/72.00 (E(f2(x6571,x6572),f2(x6571,f2(f2(x6572,a1),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[7,639,647,633,642,2,3,4,5])).
% 71.98/72.00 cnf(659,plain,
% 71.98/72.00 (E(f2(f2(x6591,f2(f2(f2(x6592,x6593),f2(x6591,x6594)),f2(x6594,a1))),f2(a1,a1)),f2(x6592,f2(f2(x6593,a1),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[7,640,657,2,3])).
% 71.98/72.00 cnf(665,plain,
% 71.98/72.00 (E(f2(x6651,x6652),f2(f2(x6653,f2(f2(f2(f2(f2(x6651,a1),f2(a1,a1)),x6652),f2(x6653,x6654)),f2(x6654,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[16,653,651,2,3])).
% 71.98/72.00 cnf(668,plain,
% 71.98/72.00 (~E(f2(a1,a1),f2(x6681,f2(f2(f2(x6681,a1),f2(a1,a1)),a1)))),
% 71.98/72.00 inference(scs_inference,[],[665,64,2,3])).
% 71.98/72.00 cnf(671,plain,
% 71.98/72.00 (E(f2(f2(x6711,x6712),x6713),f2(f2(f2(f2(x6711,a1),f2(a1,a1)),x6712),x6713))),
% 71.98/72.00 inference(scs_inference,[],[653,665,64,2,3,4])).
% 71.98/72.00 cnf(678,plain,
% 71.98/72.00 (E(f2(x6781,f2(f2(x6782,a1),f2(a1,a1))),f2(f2(x6783,f2(f2(f2(x6781,x6782),f2(x6783,x6784)),f2(x6784,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[659,2])).
% 71.98/72.00 cnf(680,plain,
% 71.98/72.00 (E(f2(x6801,x6802),f2(f2(x6803,f2(f2(f2(x6801,f2(f2(x6802,a1),f2(a1,a1))),f2(x6803,x6804)),f2(x6804,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[16,653,659,657,2,5,3])).
% 71.98/72.00 cnf(683,plain,
% 71.98/72.00 (~E(f2(f2(f2(a1,a1),f2(a1,a1)),a1),a1)),
% 71.98/72.00 inference(scs_inference,[],[668,2,5])).
% 71.98/72.00 cnf(684,plain,
% 71.98/72.00 (~E(f2(x6841,f2(x6841,a1)),f2(a1,f2(f2(a1,a1),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[678,30,668,2,5,3])).
% 71.98/72.00 cnf(687,plain,
% 71.98/72.00 (E(f2(x6871,f2(f2(x6872,a1),f2(a1,a1))),f2(x6871,x6872))),
% 71.98/72.00 inference(scs_inference,[],[633,680,2,5])).
% 71.98/72.00 cnf(688,plain,
% 71.98/72.00 (~E(f2(f2(x6881,f2(f2(f2(f2(f2(a1,a1),f2(a1,a1)),a1),f2(x6881,x6882)),f2(x6882,a1))),f2(a1,a1)),a1)),
% 71.98/72.00 inference(scs_inference,[],[16,633,680,683,2,5,3])).
% 71.98/72.00 cnf(692,plain,
% 71.98/72.00 (~E(f2(a1,a1),f2(f2(a1,a1),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[688,684,2,5])).
% 71.98/72.00 cnf(701,plain,
% 71.98/72.00 (~E(f2(f2(a1,a1),f2(a1,a1)),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[684,2,5])).
% 71.98/72.00 cnf(702,plain,
% 71.98/72.00 (~E(f2(f2(x7021,f2(f2(f2(a1,a1),f2(x7021,x7022)),f2(x7022,a1))),f2(a1,a1)),f2(f2(a1,a1),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[16,684,692,2,5,3])).
% 71.98/72.00 cnf(704,plain,
% 71.98/72.00 (~E(f2(x7041,f2(f2(f2(a1,a1),f2(x7041,x7042)),f2(x7042,a1))),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[16,684,692,2,5,3,4])).
% 71.98/72.00 cnf(707,plain,
% 71.98/72.00 (E(f2(f2(x7071,f2(f2(x7072,a1),f2(a1,a1))),x7073),f2(f2(x7071,x7072),x7073))),
% 71.98/72.00 inference(scs_inference,[],[642,687,671,2,5,4])).
% 71.98/72.00 cnf(708,plain,
% 71.98/72.00 (E(f2(f2(f2(f2(x7081,a1),f2(a1,a1)),f2(f2(x7082,f2(x7081,x7083)),f2(x7083,a1))),f2(a1,a1)),x7082)),
% 71.98/72.00 inference(scs_inference,[],[7,642,687,671,2,5,4,3])).
% 71.98/72.00 cnf(709,plain,
% 71.98/72.00 (~E(f2(a1,a1),f2(x7091,f2(f2(f2(a1,a1),f2(x7091,x7092)),f2(x7092,a1))))),
% 71.98/72.00 inference(scs_inference,[],[704,2])).
% 71.98/72.00 cnf(710,plain,
% 71.98/72.00 (~E(f2(f2(f2(a1,a1),f2(a1,x7101)),f2(x7101,a1)),a1)),
% 71.98/72.00 inference(scs_inference,[],[704,2,5])).
% 71.98/72.00 cnf(714,plain,
% 71.98/72.00 (E(x7141,f2(f2(f2(f2(x7142,a1),f2(a1,a1)),f2(f2(x7141,f2(x7142,x7143)),f2(x7143,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[708,2])).
% 71.98/72.00 cnf(717,plain,
% 71.98/72.00 (~E(f2(f2(x7171,f2(f2(f2(f2(a1,a1),f2(a1,a1)),f2(x7171,x7172)),f2(x7172,a1))),f2(a1,a1)),f2(a1,a1))),
% 71.98/72.00 inference(scs_inference,[],[16,708,701,2,5,4,3])).
% 71.98/72.00 cnf(722,plain,
% 71.98/72.00 (E(f2(f2(x7221,f2(f2(f2(f2(x7222,f2(x7221,x7223)),f2(x7223,a1)),a1),f2(a1,a1))),f2(a1,a1)),x7222)),
% 71.98/72.00 inference(scs_inference,[],[7,709,717,707,2,5,3])).
% 71.98/72.00 cnf(726,plain,
% 71.98/72.00 (~E(f2(f2(x7261,f2(x7261,a1)),f2(a1,a1)),f2(f2(f2(f2(x7262,a1),f2(a1,a1)),f2(f2(f2(a1,a1),f2(x7262,x7263)),f2(x7263,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[714,229,708,722,2,5,3])).
% 71.98/72.00 cnf(728,plain,
% 71.98/72.00 (~E(f2(x7281,f2(x7281,a1)),f2(f2(f2(x7282,a1),f2(a1,a1)),f2(f2(f2(a1,a1),f2(x7282,x7283)),f2(x7283,a1))))),
% 71.98/72.00 inference(scs_inference,[],[714,229,708,722,2,5,3,4])).
% 71.98/72.00 cnf(733,plain,
% 71.98/72.00 (~E(f2(f2(x7331,f2(f2(f2(f2(f2(a1,a1),f2(a1,x7332)),f2(x7332,a1)),f2(x7331,x7333)),f2(x7333,a1))),f2(a1,a1)),a1)),
% 71.98/72.00 inference(scs_inference,[],[16,714,702,710,728,2,5,4,3])).
% 71.98/72.00 cnf(736,plain,
% 71.98/72.00 (E(f2(x7361,f2(x7362,f2(f2(x7363,a1),f2(a1,a1)))),f2(x7361,f2(x7362,x7363)))),
% 71.98/72.00 inference(scs_inference,[],[687,707,2,5])).
% 71.98/72.00 cnf(744,plain,
% 71.98/72.00 (E(f2(x7441,f2(x7442,x7443)),f2(x7441,f2(x7442,f2(f2(x7443,a1),f2(a1,a1)))))),
% 71.98/72.00 inference(scs_inference,[],[736,2])).
% 71.98/72.00 cnf(751,plain,
% 71.98/72.00 (E(f2(f2(x7511,f2(f2(f2(f2(a1,a1),f2(a1,a1)),f2(x7511,x7512)),f2(x7512,a1))),f2(a1,a1)),f2(x7513,f2(x7513,a1)))),
% 71.98/72.00 inference(scs_inference,[],[9,647,3])).
% 71.98/72.00 cnf(755,plain,
% 71.98/72.00 (E(a1,f2(x7551,f2(f2(x7552,f2(f2(f2(x7551,a1),f2(x7552,x7553)),f2(x7553,a1))),f2(a1,a1))))),
% 71.98/72.00 inference(scs_inference,[],[9,434,751,2,3])).
% 71.98/72.00 cnf(759,plain,
% 71.98/72.00 (E(f2(x7591,f2(f2(x7592,f2(f2(f2(x7591,a1),f2(x7592,x7593)),f2(x7593,a1))),f2(a1,a1))),a1)),
% 71.98/72.00 inference(scs_inference,[],[755,2])).
% 71.98/72.00 cnf(767,plain,
% 71.98/72.00 (E(f2(x7671,f2(f2(x7672,f2(f2(f2(x7671,a1),f2(x7672,x7673)),f2(x7673,a1))),f2(a1,a1))),f2(x7674,f2(x7674,a1)))),
% 71.98/72.00 inference(scs_inference,[],[9,759,726,2,3])).
% 71.98/72.00 cnf(769,plain,
% 71.98/72.00 (E(a1,f2(x7691,f2(x7691,f2(f2(a1,a1),f2(a1,a1)))))),
% 71.98/72.00 inference(scs_inference,[],[9,744,767,2,3])).
% 71.98/72.00 cnf(771,plain,
% 71.98/72.00 (~E(a1,f2(f2(x7711,f2(f2(f2(f2(f2(a1,a1),f2(a1,x7712)),f2(x7712,a1)),f2(x7711,x7713)),f2(x7713,a1))),f2(a1,a1)))),
% 71.98/72.00 inference(scs_inference,[],[733,2])).
% 71.98/72.00 cnf(778,plain,
% 71.98/72.00 ($false),
% 71.98/72.00 inference(scs_inference,[],[9,665,769,771,2,3]),
% 71.98/72.00 ['proof']).
% 71.98/72.00 % SZS output end Proof
% 71.98/72.00 % Total time :71.300000s
%------------------------------------------------------------------------------