TSTP Solution File: GRP010-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 00:10:33 EDT 2023
% Result : Unsatisfiable 0.76s 0.85s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 02:14:40 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.76/0.85 %-------------------------------------------
% 0.76/0.85 % File :CSE---1.6
% 0.76/0.85 % Problem :theBenchmark
% 0.76/0.85 % Transform :cnf
% 0.76/0.85 % Format :tptp:raw
% 0.76/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.76/0.85
% 0.76/0.85 % Result :Theorem 0.240000s
% 0.76/0.85 % Output :CNFRefutation 0.240000s
% 0.76/0.85 %-------------------------------------------
% 0.76/0.85 %--------------------------------------------------------------------------
% 0.76/0.85 % File : GRP010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.76/0.85 % Domain : Group Theory
% 0.76/0.85 % Problem : Inverse is a symmetric relationship
% 0.76/0.85 % Version : [MOW76] axioms.
% 0.76/0.85 % English : If a is an inverse of b then b is an inverse of a.
% 0.76/0.85
% 0.76/0.85 % Refs : [Wos65] Wos (1965), Unpublished Note
% 0.76/0.85 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.76/0.85 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.76/0.85 % Source : [SPRFN]
% 0.76/0.85 % Names : Problem 7 [Wos65]
% 0.76/0.85 % : wos7 [WM76]
% 0.76/0.85
% 0.76/0.85 % Status : Unsatisfiable
% 0.76/0.85 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v2.0.0
% 0.76/0.85 % Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 5 RR)
% 0.76/0.85 % Number of literals : 18 ( 1 equ; 9 neg)
% 0.76/0.85 % Maximal clause size : 4 ( 1 avg)
% 0.76/0.85 % Maximal term depth : 2 ( 1 avg)
% 0.76/0.85 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.76/0.85 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.76/0.85 % Number of variables : 22 ( 0 sgn)
% 0.76/0.85 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.76/0.85
% 0.76/0.85 % Comments :
% 0.76/0.85 %--------------------------------------------------------------------------
% 0.76/0.85 %----Include group theory axioms
% 0.76/0.85 include('Axioms/GRP003-0.ax').
% 0.76/0.85 %--------------------------------------------------------------------------
% 0.76/0.85 cnf(a_multiply_b_is_identity,hypothesis,
% 0.76/0.85 product(a,b,identity) ).
% 0.76/0.85
% 0.76/0.85 cnf(prove_b_multiply_a_is_identity,negated_conjecture,
% 0.76/0.85 ~ product(b,a,identity) ).
% 0.76/0.85
% 0.76/0.85 %--------------------------------------------------------------------------
% 0.76/0.85 %-------------------------------------------
% 0.76/0.85 % Proof found
% 0.76/0.85 % SZS status Theorem for theBenchmark
% 0.76/0.85 % SZS output start Proof
% 0.76/0.86 %ClaNum:19(EqnAxiom:9)
% 0.76/0.86 %VarNum:44(SingletonVarNum:22)
% 0.76/0.86 %MaxLitNum:4
% 0.76/0.86 %MaxfuncDepth:1
% 0.76/0.86 %SharedTerms:5
% 0.76/0.86 %goalClause: 16
% 0.76/0.86 %singleGoalClaCount:1
% 0.76/0.86 [10]P1(a1,a2,a3)
% 0.76/0.86 [16]~P1(a2,a1,a3)
% 0.76/0.86 [11]P1(x111,a3,x111)
% 0.76/0.86 [12]P1(a3,x121,x121)
% 0.76/0.86 [13]P1(x131,f4(x131),a3)
% 0.76/0.86 [14]P1(f4(x141),x141,a3)
% 0.76/0.86 [15]P1(x151,x152,f5(x151,x152))
% 0.76/0.86 [17]~P1(x173,x174,x171)+E(x171,x172)+~P1(x173,x174,x172)
% 0.76/0.86 [18]~P1(x186,x184,x181)+P1(x181,x182,x183)+~P1(x184,x182,x185)+~P1(x186,x185,x183)
% 0.76/0.86 [19]~P1(x191,x196,x194)+P1(x191,x192,x193)+~P1(x194,x195,x193)+~P1(x196,x195,x192)
% 0.76/0.86 %EqnAxiom
% 0.76/0.86 [1]E(x11,x11)
% 0.76/0.86 [2]E(x22,x21)+~E(x21,x22)
% 0.76/0.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.76/0.86 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.76/0.86 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 0.76/0.86 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 0.76/0.86 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.76/0.86 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.76/0.86 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.76/0.86
% 0.76/0.86 %-------------------------------------------
% 0.76/0.86 cnf(20,plain,
% 0.76/0.86 (~E(f5(a2,a1),a3)),
% 0.76/0.86 inference(scs_inference,[],[16,15,9])).
% 0.76/0.86 cnf(21,plain,
% 0.76/0.86 (P1(x211,x212,f5(x211,x212))),
% 0.76/0.86 inference(rename_variables,[],[15])).
% 0.76/0.86 cnf(22,plain,
% 0.76/0.86 (~E(f4(a2),a1)),
% 0.76/0.86 inference(scs_inference,[],[16,15,13,9,8])).
% 0.76/0.86 cnf(23,plain,
% 0.76/0.86 (P1(x231,f4(x231),a3)),
% 0.76/0.86 inference(rename_variables,[],[13])).
% 0.76/0.86 cnf(24,plain,
% 0.76/0.86 (~E(f4(a1),a2)),
% 0.76/0.86 inference(scs_inference,[],[16,15,13,14,9,8,7])).
% 0.76/0.86 cnf(26,plain,
% 0.76/0.86 (E(x261,f5(x261,a3))),
% 0.76/0.86 inference(scs_inference,[],[16,11,15,21,13,14,9,8,7,17])).
% 0.76/0.86 cnf(27,plain,
% 0.76/0.86 (P1(x271,x272,f5(x271,x272))),
% 0.76/0.86 inference(rename_variables,[],[15])).
% 0.76/0.86 cnf(29,plain,
% 0.76/0.86 (P1(x291,f5(a3,a3),x291)),
% 0.76/0.86 inference(scs_inference,[],[16,11,15,21,27,13,14,9,8,7,17,19])).
% 0.76/0.86 cnf(32,plain,
% 0.76/0.86 (~P1(a3,a1,f4(a2))),
% 0.76/0.86 inference(scs_inference,[],[16,11,15,21,27,13,23,14,9,8,7,17,19,18])).
% 0.76/0.86 cnf(36,plain,
% 0.76/0.86 (~E(a3,f5(a2,a1))),
% 0.76/0.86 inference(scs_inference,[],[16,11,15,21,27,13,23,14,9,8,7,17,19,18,2])).
% 0.76/0.86 cnf(37,plain,
% 0.76/0.86 (E(f5(x371,a2),f5(x371,f5(a2,a3)))),
% 0.76/0.86 inference(scs_inference,[],[16,11,15,21,27,13,23,14,9,8,7,17,19,18,2,6])).
% 0.76/0.86 cnf(38,plain,
% 0.76/0.86 (E(f5(a2,x381),f5(f5(a2,a3),x381))),
% 0.76/0.86 inference(scs_inference,[],[16,11,15,21,27,13,23,14,9,8,7,17,19,18,2,6,5])).
% 0.76/0.86 cnf(39,plain,
% 0.76/0.86 (E(f4(a2),f4(f5(a2,a3)))),
% 0.76/0.86 inference(scs_inference,[],[16,11,15,21,27,13,23,14,9,8,7,17,19,18,2,6,5,4])).
% 0.76/0.86 cnf(40,plain,
% 0.76/0.86 (~E(f5(f5(a2,a3),a1),a3)),
% 0.76/0.86 inference(scs_inference,[],[16,11,15,21,27,13,23,14,9,8,7,17,19,18,2,6,5,4,3])).
% 0.76/0.86 cnf(41,plain,
% 0.76/0.86 (~P1(f4(a2),a3,a1)),
% 0.76/0.86 inference(scs_inference,[],[12,11,32,19])).
% 0.76/0.86 cnf(42,plain,
% 0.76/0.86 (P1(a3,x421,x421)),
% 0.76/0.86 inference(rename_variables,[],[12])).
% 0.76/0.86 cnf(45,plain,
% 0.76/0.86 (~E(a1,f4(a2))),
% 0.76/0.86 inference(scs_inference,[],[12,42,11,32,19,9])).
% 0.76/0.86 cnf(46,plain,
% 0.76/0.86 (P1(a3,x461,x461)),
% 0.76/0.86 inference(rename_variables,[],[12])).
% 0.76/0.86 cnf(47,plain,
% 0.76/0.86 (~P1(a3,f5(f5(a2,a3),a1),a3)),
% 0.76/0.86 inference(scs_inference,[],[12,42,46,11,40,32,19,9,17])).
% 0.76/0.86 cnf(48,plain,
% 0.76/0.86 (P1(a3,x481,x481)),
% 0.76/0.86 inference(rename_variables,[],[12])).
% 0.76/0.86 cnf(50,plain,
% 0.76/0.86 (~P1(a3,f5(a2,a1),a3)),
% 0.76/0.86 inference(scs_inference,[],[16,12,42,46,48,15,11,40,32,19,9,17,18])).
% 0.76/0.86 cnf(51,plain,
% 0.76/0.86 (P1(a3,x511,x511)),
% 0.76/0.86 inference(rename_variables,[],[12])).
% 0.76/0.86 cnf(54,plain,
% 0.76/0.86 (E(f5(x541,a3),x541)),
% 0.76/0.86 inference(scs_inference,[],[16,12,42,46,48,15,11,26,40,32,19,9,17,18,2])).
% 0.76/0.86 cnf(55,plain,
% 0.76/0.86 (~P1(f5(a2,a3),a1,a3)),
% 0.76/0.86 inference(scs_inference,[],[16,12,42,46,48,15,11,26,40,32,19,9,17,18,2,7])).
% 0.76/0.86 cnf(56,plain,
% 0.76/0.86 (E(a2,f5(f5(a2,a3),a3))),
% 0.76/0.86 inference(scs_inference,[],[16,12,42,46,48,15,11,26,38,40,32,19,9,17,18,2,7,3])).
% 0.76/0.86 cnf(57,plain,
% 0.76/0.86 (E(x571,f5(x571,a3))),
% 0.76/0.86 inference(rename_variables,[],[26])).
% 0.76/0.86 cnf(59,plain,
% 0.76/0.86 (P1(a3,f5(x591,a3),x591)),
% 0.76/0.86 inference(scs_inference,[],[16,12,42,46,48,51,15,11,26,57,38,40,32,19,9,17,18,2,7,3,8])).
% 0.76/0.86 cnf(61,plain,
% 0.76/0.86 (~P1(a1,a2,f5(a2,a1))),
% 0.76/0.86 inference(scs_inference,[],[10,12,50,19])).
% 0.76/0.86 cnf(62,plain,
% 0.76/0.86 (P1(a3,x621,x621)),
% 0.76/0.86 inference(rename_variables,[],[12])).
% 0.76/0.86 cnf(65,plain,
% 0.76/0.86 (P1(a3,x651,x651)),
% 0.76/0.86 inference(rename_variables,[],[12])).
% 0.76/0.86 cnf(67,plain,
% 0.76/0.86 (P1(a3,f5(x671,a2),f5(x671,f5(a2,a3)))),
% 0.76/0.86 inference(scs_inference,[],[10,12,62,65,37,50,24,19,17,9])).
% 0.76/0.87 cnf(68,plain,
% 0.76/0.87 (P1(a3,x681,x681)),
% 0.76/0.87 inference(rename_variables,[],[12])).
% 0.76/0.87 cnf(69,plain,
% 0.76/0.87 (~E(f4(f5(a2,a3)),a1)),
% 0.76/0.87 inference(scs_inference,[],[10,12,62,65,13,37,55,50,24,19,17,9,8])).
% 0.76/0.87 cnf(70,plain,
% 0.76/0.87 (P1(x701,f4(x701),a3)),
% 0.76/0.87 inference(rename_variables,[],[13])).
% 0.76/0.87 cnf(71,plain,
% 0.76/0.87 (~P1(f4(a1),a3,f5(a2,a3))),
% 0.76/0.87 inference(scs_inference,[],[10,12,62,65,68,13,14,37,55,50,24,19,17,9,8,18])).
% 0.76/0.87 cnf(75,plain,
% 0.76/0.87 (~E(a2,f4(a1))),
% 0.76/0.87 inference(scs_inference,[],[10,12,62,65,68,13,14,37,55,50,24,19,17,9,8,18,2])).
% 0.76/0.87 cnf(76,plain,
% 0.76/0.87 (P1(x761,f4(f5(x761,a3)),a3)),
% 0.76/0.87 inference(scs_inference,[],[10,12,62,65,68,13,70,14,54,37,55,50,24,19,17,9,8,18,2,7])).
% 0.76/0.87 cnf(78,plain,
% 0.76/0.87 (~E(f5(a2,a1),f5(a3,a3))),
% 0.76/0.87 inference(scs_inference,[],[10,20,12,62,65,68,13,70,14,54,37,55,50,24,19,17,9,8,18,2,7,3])).
% 0.76/0.87 cnf(80,plain,
% 0.76/0.87 (P1(f4(a1),a3,a2)),
% 0.76/0.87 inference(scs_inference,[],[10,12,14,19])).
% 0.76/0.87 cnf(81,plain,
% 0.76/0.87 (P1(a3,x811,x811)),
% 0.76/0.87 inference(rename_variables,[],[12])).
% 0.76/0.87 cnf(84,plain,
% 0.76/0.87 (E(a3,f5(a1,a2))),
% 0.76/0.87 inference(scs_inference,[],[10,12,15,14,19,17])).
% 0.76/0.87 cnf(85,plain,
% 0.76/0.87 (P1(x851,x852,f5(x851,x852))),
% 0.76/0.87 inference(rename_variables,[],[15])).
% 0.76/0.87 cnf(87,plain,
% 0.76/0.87 (P1(f5(a3,a1),a2,a3)),
% 0.76/0.87 inference(scs_inference,[],[10,12,81,15,85,14,19,17,18])).
% 0.76/0.87 cnf(89,plain,
% 0.76/0.87 (P1(x891,x892,f5(x891,x892))),
% 0.76/0.87 inference(rename_variables,[],[15])).
% 0.76/0.87 cnf(91,plain,
% 0.76/0.87 (~E(f5(a1,a2),f5(a2,a1))),
% 0.76/0.87 inference(scs_inference,[],[10,12,81,15,85,89,14,61,19,17,18,9])).
% 0.76/0.87 cnf(93,plain,
% 0.76/0.87 (P1(a1,f5(f5(a2,a3),a3),a3)),
% 0.76/0.87 inference(scs_inference,[],[10,12,81,15,85,89,14,61,56,19,17,18,9,8])).
% 0.76/0.87 cnf(94,plain,
% 0.76/0.87 (~E(f5(f5(a2,a3),a1),f5(a3,a3))),
% 0.76/0.87 inference(scs_inference,[],[10,12,81,15,85,89,14,78,61,56,38,19,17,18,9,8,3])).
% 0.76/0.87 cnf(96,plain,
% 0.76/0.87 (E(f4(f5(a2,a3)),f4(a2))),
% 0.76/0.87 inference(scs_inference,[],[10,12,81,15,85,89,14,78,61,39,56,38,19,17,18,9,8,3,2])).
% 0.76/0.87 cnf(97,plain,
% 0.76/0.87 (P1(f5(a1,a3),a2,a3)),
% 0.76/0.87 inference(scs_inference,[],[10,12,81,15,85,89,14,78,61,39,56,38,26,19,17,18,9,8,3,2,7])).
% 0.76/0.87 cnf(99,plain,
% 0.76/0.87 (~P1(f4(a1),f4(a3),f5(a2,a3))),
% 0.76/0.87 inference(scs_inference,[],[11,13,71,19])).
% 0.76/0.87 cnf(100,plain,
% 0.76/0.87 (P1(x1001,f4(x1001),a3)),
% 0.76/0.87 inference(rename_variables,[],[13])).
% 0.76/0.87 cnf(101,plain,
% 0.76/0.87 (P1(x1011,a3,x1011)),
% 0.76/0.87 inference(rename_variables,[],[11])).
% 0.76/0.87 cnf(103,plain,
% 0.76/0.87 (~P1(x1031,f4(x1031),f5(a2,a1))),
% 0.76/0.87 inference(scs_inference,[],[11,13,100,36,71,19,17])).
% 0.76/0.87 cnf(106,plain,
% 0.76/0.87 (P1(x1061,f4(x1061),a3)),
% 0.76/0.87 inference(rename_variables,[],[13])).
% 0.76/0.87 cnf(112,plain,
% 0.76/0.87 (E(f5(x1121,a3),x1121)),
% 0.76/0.87 inference(rename_variables,[],[54])).
% 0.76/0.87 cnf(113,plain,
% 0.76/0.87 (~P1(f5(f4(a1),a3),a3,f5(a2,a3))),
% 0.76/0.87 inference(scs_inference,[],[11,101,13,100,106,36,96,71,47,54,112,19,17,18,8,9,7])).
% 0.76/0.87 cnf(115,plain,
% 0.76/0.87 (E(a3,f5(a1,f5(a2,a3)))),
% 0.76/0.87 inference(scs_inference,[],[11,101,13,100,106,36,96,71,47,84,37,54,112,19,17,18,8,9,7,3])).
% 0.76/0.87 cnf(118,plain,
% 0.76/0.87 (E(f5(x1181,a3),f5(x1181,f5(a1,a2)))),
% 0.76/0.87 inference(scs_inference,[],[11,101,13,100,106,94,36,96,71,47,84,37,54,112,19,17,18,8,9,7,3,2,6])).
% 0.76/0.87 cnf(119,plain,
% 0.76/0.87 (E(f5(a3,x1191),f5(f5(a1,a2),x1191))),
% 0.76/0.87 inference(scs_inference,[],[11,101,13,100,106,94,36,96,71,47,84,37,54,112,19,17,18,8,9,7,3,2,6,5])).
% 0.76/0.87 cnf(120,plain,
% 0.76/0.87 (E(f4(a3),f4(f5(a1,a2)))),
% 0.76/0.87 inference(scs_inference,[],[11,101,13,100,106,94,36,96,71,47,84,37,54,112,19,17,18,8,9,7,3,2,6,5,4])).
% 0.76/0.87 cnf(123,plain,
% 0.76/0.87 (~P1(x1231,f4(x1231),f5(a2,a1))),
% 0.76/0.87 inference(rename_variables,[],[103])).
% 0.76/0.87 cnf(124,plain,
% 0.76/0.87 (P1(x1241,a3,x1241)),
% 0.76/0.87 inference(rename_variables,[],[11])).
% 0.76/0.87 cnf(126,plain,
% 0.76/0.87 (~P1(a1,a3,f4(a2))),
% 0.76/0.87 inference(scs_inference,[],[11,124,22,103,19,17])).
% 0.76/0.87 cnf(127,plain,
% 0.76/0.87 (P1(x1271,a3,x1271)),
% 0.76/0.87 inference(rename_variables,[],[11])).
% 0.76/0.87 cnf(129,plain,
% 0.76/0.87 (~P1(a3,f5(x1291,f4(x1291)),f5(a2,a1))),
% 0.76/0.87 inference(scs_inference,[],[11,124,22,12,15,103,123,19,17,18])).
% 0.76/0.87 cnf(131,plain,
% 0.76/0.87 (~P1(x1311,f4(x1311),f5(a2,a1))),
% 0.76/0.87 inference(rename_variables,[],[103])).
% 0.76/0.87 cnf(134,plain,
% 0.76/0.87 (~E(a3,f4(f5(a2,a1)))),
% 0.76/0.87 inference(scs_inference,[],[11,124,127,22,12,15,103,123,131,19,17,18,8])).
% 0.76/0.87 cnf(136,plain,
% 0.76/0.87 (P1(x1361,a3,x1361)),
% 0.76/0.87 inference(rename_variables,[],[11])).
% 0.76/0.87 cnf(137,plain,
% 0.76/0.87 (P1(f5(x1371,a3),a3,f5(x1371,f5(a1,a2)))),
% 0.76/0.87 inference(scs_inference,[],[11,124,127,136,22,12,15,103,123,131,118,19,17,18,8,9])).
% 0.76/0.87 cnf(138,plain,
% 0.76/0.87 (P1(x1381,a3,x1381)),
% 0.76/0.87 inference(rename_variables,[],[11])).
% 0.76/0.87 cnf(139,plain,
% 0.76/0.87 (E(f5(x1391,f5(a1,a2)),f5(x1391,a3))),
% 0.76/0.87 inference(scs_inference,[],[11,124,127,136,22,12,15,103,123,131,118,19,17,18,8,9,2])).
% 0.76/0.87 cnf(140,plain,
% 0.76/0.87 (P1(f5(x1401,f5(a1,a2)),a3,f5(x1401,a3))),
% 0.76/0.87 inference(scs_inference,[],[11,124,127,136,138,22,12,15,103,123,131,118,19,17,18,8,9,2,7])).
% 0.76/0.87 cnf(142,plain,
% 0.76/0.87 (E(f5(a3,a3),f5(f5(a1,a2),f5(a1,a2)))),
% 0.76/0.87 inference(scs_inference,[],[11,124,127,136,138,22,12,15,103,123,131,118,119,19,17,18,8,9,2,7,3])).
% 0.76/0.87 cnf(145,plain,
% 0.76/0.87 (~P1(f4(a2),f4(a1),a3)),
% 0.76/0.87 inference(scs_inference,[],[12,14,41,19])).
% 0.76/0.87 cnf(146,plain,
% 0.76/0.87 (P1(a3,x1461,x1461)),
% 0.76/0.87 inference(rename_variables,[],[12])).
% 0.76/0.87 cnf(147,plain,
% 0.76/0.87 (P1(f4(x1471),x1471,a3)),
% 0.76/0.87 inference(rename_variables,[],[14])).
% 0.76/0.87 cnf(149,plain,
% 0.76/0.87 (E(f4(a3),a3)),
% 0.76/0.87 inference(scs_inference,[],[12,146,13,14,41,19,17])).
% 0.76/0.87 cnf(151,plain,
% 0.76/0.87 (P1(a3,x1511,x1511)),
% 0.76/0.87 inference(rename_variables,[],[12])).
% 0.76/0.87 cnf(154,plain,
% 0.76/0.87 (P1(a3,x1541,x1541)),
% 0.76/0.87 inference(rename_variables,[],[12])).
% 0.76/0.87 cnf(157,plain,
% 0.76/0.87 (~E(f5(x1571,f4(x1571)),f5(a2,a1))),
% 0.76/0.87 inference(scs_inference,[],[12,146,151,154,13,14,147,41,129,19,17,18,9])).
% 0.76/0.87 cnf(158,plain,
% 0.76/0.87 (P1(a3,x1581,x1581)),
% 0.76/0.87 inference(rename_variables,[],[12])).
% 0.76/0.87 cnf(159,plain,
% 0.76/0.87 (P1(a3,f5(f5(a1,a2),f5(a1,a2)),f5(a3,a3))),
% 0.76/0.87 inference(scs_inference,[],[12,146,151,154,158,13,14,147,142,41,129,19,17,18,9,8])).
% 0.76/0.87 cnf(160,plain,
% 0.76/0.87 (P1(a3,x1601,x1601)),
% 0.76/0.87 inference(rename_variables,[],[12])).
% 0.76/0.87 cnf(164,plain,
% 0.76/0.87 (P1(f5(a1,f5(a2,a3)),x1641,x1641)),
% 0.76/0.87 inference(scs_inference,[],[12,146,151,154,158,160,24,13,14,147,142,91,41,129,115,26,19,17,18,9,8,2,3,7])).
% 0.76/0.87 cnf(167,plain,
% 0.76/0.87 (P1(a3,x1671,x1671)),
% 0.76/0.87 inference(rename_variables,[],[12])).
% 0.76/0.87 cnf(168,plain,
% 0.81/0.87 (P1(x1681,x1682,f5(x1681,x1682))),
% 0.81/0.87 inference(rename_variables,[],[15])).
% 0.81/0.87 cnf(170,plain,
% 0.81/0.87 (~P1(x1701,f4(x1701),f4(f5(a2,a1)))),
% 0.81/0.87 inference(scs_inference,[],[12,15,13,29,134,19,17])).
% 0.81/0.87 cnf(172,plain,
% 0.81/0.87 (P1(f5(a3,f4(x1721)),x1721,a3)),
% 0.81/0.87 inference(scs_inference,[],[12,167,15,168,13,14,29,134,19,17,18])).
% 0.81/0.87 cnf(181,plain,
% 0.81/0.87 (~P1(f5(f4(a1),a3),f4(a3),f5(a2,a3))),
% 0.81/0.87 inference(scs_inference,[],[12,167,15,168,13,14,99,120,139,29,134,103,54,19,17,18,8,9,2,7])).
% 0.81/0.87 cnf(183,plain,
% 0.81/0.87 (E(f4(a3),f5(a1,f5(a2,a3)))),
% 0.81/0.87 inference(scs_inference,[],[12,167,15,168,13,14,99,120,139,29,134,149,103,115,54,19,17,18,8,9,2,7,3])).
% 0.81/0.87 cnf(184,plain,
% 0.81/0.87 (~P1(f5(a1,x1841),f4(x1841),f4(a2))),
% 0.81/0.87 inference(scs_inference,[],[13,15,126,19])).
% 0.81/0.87 cnf(185,plain,
% 0.81/0.87 (P1(x1851,f4(x1851),a3)),
% 0.81/0.87 inference(rename_variables,[],[13])).
% 0.81/0.87 cnf(191,plain,
% 0.81/0.87 (~P1(f4(x1911),f5(a2,a1),f4(x1911))),
% 0.81/0.87 inference(scs_inference,[],[13,185,22,15,164,126,50,19,17,18])).
% 0.81/0.87 cnf(193,plain,
% 0.81/0.87 (P1(x1931,f4(x1931),f5(a3,a3))),
% 0.81/0.87 inference(scs_inference,[],[13,185,22,26,15,164,126,50,19,17,18,9])).
% 0.81/0.87 cnf(194,plain,
% 0.81/0.87 (E(x1941,f5(x1941,a3))),
% 0.81/0.87 inference(rename_variables,[],[26])).
% 0.81/0.87 cnf(195,plain,
% 0.81/0.87 (~E(f5(a2,a1),f5(x1951,f4(x1951)))),
% 0.81/0.87 inference(scs_inference,[],[13,185,22,26,15,157,164,126,50,19,17,18,9,2])).
% 0.81/0.87 cnf(198,plain,
% 0.81/0.87 (E(x1981,f5(x1981,a3))),
% 0.81/0.87 inference(rename_variables,[],[26])).
% 0.81/0.87 cnf(199,plain,
% 0.81/0.87 (P1(f5(x1991,a3),f4(x1991),a3)),
% 0.81/0.87 inference(scs_inference,[],[13,185,22,26,194,198,15,157,164,126,142,50,149,19,17,18,9,2,8,3,7])).
% 0.81/0.87 cnf(200,plain,
% 0.81/0.87 (E(x2001,f5(x2001,a3))),
% 0.81/0.87 inference(rename_variables,[],[26])).
% 0.81/0.87 cnf(201,plain,
% 0.81/0.87 (E(f5(x2011,x2012),f5(x2011,f5(x2012,a3)))),
% 0.81/0.87 inference(scs_inference,[],[13,185,22,26,194,198,200,15,157,164,126,142,50,149,19,17,18,9,2,8,3,7,6])).
% 0.81/0.87 cnf(202,plain,
% 0.81/0.87 (E(f5(x2021,x2022),f5(f5(x2021,a3),x2022))),
% 0.81/0.87 inference(scs_inference,[],[13,185,22,26,194,198,200,15,157,164,126,142,50,149,19,17,18,9,2,8,3,7,6,5])).
% 0.81/0.87 cnf(203,plain,
% 0.81/0.87 (E(f4(x2031),f4(f5(x2031,a3)))),
% 0.81/0.87 inference(scs_inference,[],[13,185,22,26,194,198,200,15,157,164,126,142,50,149,19,17,18,9,2,8,3,7,6,5,4])).
% 0.81/0.87 cnf(205,plain,
% 0.81/0.87 (P1(x2051,x2052,f5(x2051,x2052))),
% 0.81/0.87 inference(rename_variables,[],[15])).
% 0.81/0.87 cnf(206,plain,
% 0.81/0.87 (~P1(x2061,f4(x2061),f4(f5(a2,a1)))),
% 0.81/0.87 inference(rename_variables,[],[170])).
% 0.81/0.87 cnf(209,plain,
% 0.81/0.87 (E(a3,f5(x2091,f4(x2091)))),
% 0.81/0.87 inference(scs_inference,[],[13,15,205,170,164,19,17])).
% 0.81/0.87 cnf(213,plain,
% 0.81/0.87 (P1(x2131,f4(x2131),a3)),
% 0.81/0.87 inference(rename_variables,[],[13])).
% 0.81/0.87 cnf(214,plain,
% 0.81/0.87 (~P1(x2141,f4(x2141),f4(f5(a2,a1)))),
% 0.81/0.87 inference(rename_variables,[],[170])).
% 0.81/0.87 cnf(215,plain,
% 0.81/0.87 (P1(f4(x2151),x2151,a3)),
% 0.81/0.87 inference(rename_variables,[],[14])).
% 0.81/0.87 cnf(217,plain,
% 0.81/0.87 (E(f5(x2171,f5(x2172,a3)),f5(x2171,x2172))),
% 0.81/0.87 inference(scs_inference,[],[13,14,15,205,170,206,201,164,19,17,18,2])).
% 0.81/0.87 cnf(218,plain,
% 0.81/0.87 (P1(x2181,f5(f4(x2181),a3),a3)),
% 0.81/0.87 inference(scs_inference,[],[13,213,26,14,15,205,170,206,201,164,19,17,18,2,8])).
% 0.81/0.87 cnf(219,plain,
% 0.81/0.87 (E(x2191,f5(x2191,a3))),
% 0.81/0.87 inference(rename_variables,[],[26])).
% 0.81/0.87 cnf(220,plain,
% 0.81/0.87 (~E(f5(a3,a3),f4(f5(a2,a1)))),
% 0.81/0.87 inference(scs_inference,[],[13,213,26,14,15,205,193,170,206,214,201,164,19,17,18,2,8,9])).
% 0.81/0.87 cnf(224,plain,
% 0.81/0.87 (~E(f5(f5(a2,a1),a3),a3)),
% 0.81/0.87 inference(scs_inference,[],[13,213,20,26,219,14,215,15,205,193,170,206,214,201,145,164,19,17,18,2,8,9,7,3])).
% 0.81/0.87 cnf(226,plain,
% 0.81/0.87 (~P1(f5(a3,a3),f5(a3,a3),f5(a2,a1))),
% 0.81/0.87 inference(scs_inference,[],[29,191,19])).
% 0.81/0.87 cnf(230,plain,
% 0.81/0.87 (~P1(f4(x2301),x2301,f5(a2,a1))),
% 0.81/0.87 inference(scs_inference,[],[14,29,191,36,19,17])).
% 0.81/0.87 cnf(232,plain,
% 0.81/0.87 (~P1(f4(x2321),f4(f5(a2,a1)),f4(x2321))),
% 0.81/0.87 inference(scs_inference,[],[14,29,191,36,11,19,17,18])).
% 0.81/0.87 cnf(236,plain,
% 0.81/0.87 (~P1(f5(a3,a3),a3,f5(a2,a1))),
% 0.81/0.87 inference(scs_inference,[],[14,29,26,191,36,11,19,17,18,8])).
% 0.81/0.87 cnf(237,plain,
% 0.81/0.87 (E(x2371,f5(x2371,a3))),
% 0.81/0.87 inference(rename_variables,[],[26])).
% 0.81/0.87 cnf(239,plain,
% 0.81/0.87 (~P1(f4(x2391),f5(a2,a1),f4(x2391))),
% 0.81/0.87 inference(rename_variables,[],[191])).
% 0.81/0.87 cnf(241,plain,
% 0.81/0.87 (E(x2411,f5(f5(x2411,a3),a3))),
% 0.81/0.87 inference(scs_inference,[],[14,29,26,237,220,191,202,203,36,11,19,17,18,8,9,2,3])).
% 0.81/0.87 cnf(244,plain,
% 0.81/0.87 (~P1(f4(x2441),f5(a2,a1),f4(f5(x2441,a3)))),
% 0.81/0.87 inference(scs_inference,[],[14,29,26,237,220,191,239,202,203,36,11,19,17,18,8,9,2,3,7])).
% 0.81/0.87 cnf(247,plain,
% 0.81/0.87 (P1(x2471,x2472,f5(x2471,x2472))),
% 0.81/0.87 inference(rename_variables,[],[15])).
% 0.81/0.87 cnf(248,plain,
% 0.81/0.87 (P1(f4(x2481),x2481,a3)),
% 0.81/0.87 inference(rename_variables,[],[14])).
% 0.81/0.87 cnf(255,plain,
% 0.81/0.87 (P1(f4(x2551),x2551,a3)),
% 0.81/0.87 inference(rename_variables,[],[14])).
% 0.81/0.87 cnf(258,plain,
% 0.81/0.87 (P1(f4(x2581),x2581,f5(a3,a3))),
% 0.81/0.87 inference(scs_inference,[],[14,248,255,22,29,26,15,247,76,19,17,18,9])).
% 0.81/0.87 cnf(259,plain,
% 0.81/0.87 (E(x2591,f5(x2591,a3))),
% 0.81/0.87 inference(rename_variables,[],[26])).
% 0.81/0.87 cnf(260,plain,
% 0.81/0.87 (E(f5(f5(x2601,a3),a3),x2601)),
% 0.81/0.87 inference(scs_inference,[],[14,248,255,22,29,26,15,247,241,76,19,17,18,9,2])).
% 0.81/0.87 cnf(261,plain,
% 0.81/0.87 (~P1(f4(f5(x2611,a3)),x2611,f5(a2,a1))),
% 0.81/0.87 inference(scs_inference,[],[14,248,255,22,29,26,259,15,247,230,241,76,19,17,18,9,2,8])).
% 0.81/0.87 cnf(263,plain,
% 0.81/0.87 (P1(f5(f4(x2631),a3),x2631,a3)),
% 0.81/0.87 inference(scs_inference,[],[14,248,255,22,29,26,259,15,247,230,241,76,19,17,18,9,2,8,7])).
% 0.81/0.87 cnf(267,plain,
% 0.81/0.87 (~P1(f5(a3,a1),f5(a3,a3),f4(a2))),
% 0.81/0.87 inference(scs_inference,[],[15,32,29,19])).
% 0.81/0.87 cnf(268,plain,
% 0.81/0.87 (P1(x2681,f5(a3,a3),x2681)),
% 0.81/0.87 inference(rename_variables,[],[29])).
% 0.81/0.87 cnf(269,plain,
% 0.81/0.87 (P1(x2691,x2692,f5(x2691,x2692))),
% 0.81/0.87 inference(rename_variables,[],[15])).
% 0.81/0.87 cnf(271,plain,
% 0.81/0.87 (E(f5(x2711,f5(a3,a3)),x2711)),
% 0.81/0.87 inference(scs_inference,[],[15,269,32,29,268,19,17])).
% 0.81/0.87 cnf(273,plain,
% 0.81/0.87 (P1(x2731,x2732,f5(x2731,x2732))),
% 0.81/0.87 inference(rename_variables,[],[15])).
% 0.81/0.87 cnf(277,plain,
% 0.81/0.87 (P1(x2771,x2772,f5(x2771,x2772))),
% 0.81/0.87 inference(rename_variables,[],[15])).
% 0.81/0.87 cnf(281,plain,
% 0.81/0.87 (P1(x2811,f5(x2812,a3),f5(x2811,x2812))),
% 0.81/0.87 inference(scs_inference,[],[15,269,273,277,32,29,268,26,69,103,19,17,18,2,8])).
% 0.81/0.87 cnf(282,plain,
% 0.81/0.87 (P1(x2821,x2822,f5(x2821,x2822))),
% 0.81/0.87 inference(rename_variables,[],[15])).
% 0.81/0.87 cnf(284,plain,
% 0.81/0.88 (P1(x2841,x2842,f5(x2841,x2842))),
% 0.81/0.88 inference(rename_variables,[],[15])).
% 0.81/0.88 cnf(285,plain,
% 0.81/0.88 (~E(f5(f4(a2),a3),a1)),
% 0.81/0.88 inference(scs_inference,[],[15,269,273,277,282,32,22,29,268,26,69,103,19,17,18,2,8,9,3])).
% 0.81/0.88 cnf(290,plain,
% 0.81/0.88 (E(f5(x2901,f4(a3)),f5(x2901,a3))),
% 0.81/0.88 inference(scs_inference,[],[15,269,273,277,282,284,32,22,29,268,26,261,69,103,149,19,17,18,2,8,9,3,7,6])).
% 0.81/0.88 cnf(291,plain,
% 0.81/0.88 (E(f5(f4(a3),x2911),f5(a3,x2911))),
% 0.81/0.88 inference(scs_inference,[],[15,269,273,277,282,284,32,22,29,268,26,261,69,103,149,19,17,18,2,8,9,3,7,6,5])).
% 0.81/0.88 cnf(292,plain,
% 0.81/0.88 (E(f4(f4(a3)),f4(a3))),
% 0.81/0.88 inference(scs_inference,[],[15,269,273,277,282,284,32,22,29,268,26,261,69,103,149,19,17,18,2,8,9,3,7,6,5,4])).
% 0.81/0.88 cnf(294,plain,
% 0.81/0.88 (P1(x2941,f5(a3,a3),x2941)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(297,plain,
% 0.81/0.88 (~P1(f5(a2,a1),f5(a3,a3),a3)),
% 0.81/0.88 inference(scs_inference,[],[20,32,29,294,59,19,17])).
% 0.81/0.88 cnf(298,plain,
% 0.81/0.88 (P1(x2981,f5(a3,a3),x2981)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(305,plain,
% 0.81/0.88 (E(f5(x3051,f5(a3,a3)),x3051)),
% 0.81/0.88 inference(rename_variables,[],[271])).
% 0.81/0.88 cnf(307,plain,
% 0.81/0.88 (E(f5(x3071,f5(a3,a3)),x3071)),
% 0.81/0.88 inference(rename_variables,[],[271])).
% 0.81/0.88 cnf(308,plain,
% 0.81/0.88 (E(x3081,f5(x3081,f5(a3,a3)))),
% 0.81/0.88 inference(scs_inference,[],[15,20,32,29,294,298,271,305,307,226,59,19,17,18,8,9,2])).
% 0.81/0.88 cnf(311,plain,
% 0.81/0.88 (E(a3,f5(f5(a1,a2),a3))),
% 0.81/0.88 inference(scs_inference,[],[15,20,32,29,294,298,26,271,305,307,226,59,84,19,17,18,8,9,2,7,3])).
% 0.81/0.88 cnf(313,plain,
% 0.81/0.88 (~P1(f5(f4(a2),a3),f5(a3,a3),a1)),
% 0.81/0.88 inference(scs_inference,[],[29,32,59,19])).
% 0.81/0.88 cnf(314,plain,
% 0.81/0.88 (P1(x3141,f5(a3,a3),x3141)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(315,plain,
% 0.81/0.88 (P1(a3,f5(x3151,a3),x3151)),
% 0.81/0.88 inference(rename_variables,[],[59])).
% 0.81/0.88 cnf(318,plain,
% 0.81/0.88 (P1(x3181,f5(a3,a3),x3181)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(321,plain,
% 0.81/0.88 (P1(x3211,f5(a3,a3),x3211)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(324,plain,
% 0.81/0.88 (P1(f5(x3241,f5(x3242,a3)),f5(a3,a3),f5(x3241,x3242))),
% 0.81/0.88 inference(scs_inference,[],[20,29,314,318,321,32,267,217,59,315,19,17,18,9])).
% 0.81/0.88 cnf(325,plain,
% 0.81/0.88 (P1(x3251,f5(a3,a3),x3251)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(328,plain,
% 0.81/0.88 (E(x3281,f5(x3281,a3))),
% 0.81/0.88 inference(rename_variables,[],[26])).
% 0.81/0.88 cnf(329,plain,
% 0.81/0.88 (E(x3291,f5(f5(x3291,a3),f5(a3,a3)))),
% 0.81/0.88 inference(scs_inference,[],[20,29,314,318,321,32,26,328,308,267,217,224,59,315,19,17,18,9,2,8,3])).
% 0.81/0.88 cnf(331,plain,
% 0.81/0.88 (P1(f5(x3311,a3),f5(a3,a3),x3311)),
% 0.81/0.88 inference(scs_inference,[],[20,29,314,318,321,325,32,26,328,308,267,217,224,59,315,19,17,18,9,2,8,3,7])).
% 0.81/0.88 cnf(333,plain,
% 0.81/0.88 (P1(f5(a3,f4(a3)),f5(a3,a3),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[159,172,19])).
% 0.81/0.88 cnf(336,plain,
% 0.81/0.88 (E(f4(f5(a3,a3)),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[29,258,159,172,19,17])).
% 0.81/0.88 cnf(337,plain,
% 0.81/0.88 (P1(f4(x3371),x3371,f5(a3,a3))),
% 0.81/0.88 inference(rename_variables,[],[258])).
% 0.81/0.88 cnf(338,plain,
% 0.81/0.88 (P1(x3381,f5(a3,a3),x3381)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(340,plain,
% 0.81/0.88 (P1(f5(a3,a3),f5(a3,a3),f4(a3))),
% 0.81/0.88 inference(scs_inference,[],[29,338,258,337,281,159,172,19,17,18])).
% 0.81/0.88 cnf(342,plain,
% 0.81/0.88 (P1(x3421,f5(a3,a3),x3421)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(343,plain,
% 0.81/0.88 (P1(f4(x3431),x3431,f5(a3,a3))),
% 0.81/0.88 inference(rename_variables,[],[258])).
% 0.81/0.88 cnf(345,plain,
% 0.81/0.88 (E(f5(f5(x3451,a3),f5(a3,a3)),x3451)),
% 0.81/0.88 inference(scs_inference,[],[29,338,258,337,329,281,159,172,19,17,18,2])).
% 0.81/0.88 cnf(346,plain,
% 0.81/0.88 (P1(x3461,f5(f5(a3,a3),a3),x3461)),
% 0.81/0.88 inference(scs_inference,[],[29,338,342,26,258,337,329,281,159,172,19,17,18,2,8])).
% 0.81/0.88 cnf(347,plain,
% 0.81/0.88 (E(x3471,f5(x3471,a3))),
% 0.81/0.88 inference(rename_variables,[],[26])).
% 0.81/0.88 cnf(348,plain,
% 0.81/0.88 (P1(f5(a1,a3),a2,f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[29,338,342,26,347,258,337,329,281,97,159,172,19,17,18,2,8,9])).
% 0.81/0.88 cnf(349,plain,
% 0.81/0.88 (E(x3491,f5(x3491,a3))),
% 0.81/0.88 inference(rename_variables,[],[26])).
% 0.81/0.88 cnf(350,plain,
% 0.81/0.88 (P1(f5(f4(x3501),a3),x3501,f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[29,338,342,26,347,349,258,337,343,329,281,97,159,172,19,17,18,2,8,9,7])).
% 0.81/0.88 cnf(351,plain,
% 0.81/0.88 (E(x3511,f5(x3511,a3))),
% 0.81/0.88 inference(rename_variables,[],[26])).
% 0.81/0.88 cnf(352,plain,
% 0.81/0.88 (~E(f5(a3,a3),f5(a2,a1))),
% 0.81/0.88 inference(scs_inference,[],[36,29,338,342,26,347,349,351,258,337,343,329,281,97,159,172,19,17,18,2,8,9,7,3])).
% 0.81/0.88 cnf(356,plain,
% 0.81/0.88 (P1(x3561,f5(a3,a3),x3561)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(358,plain,
% 0.81/0.88 (~P1(f4(a2),f5(a3,a3),a1)),
% 0.81/0.88 inference(scs_inference,[],[22,29,356,346,297,19,17])).
% 0.81/0.88 cnf(359,plain,
% 0.81/0.88 (P1(x3591,f5(a3,a3),x3591)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(361,plain,
% 0.81/0.88 (~P1(f5(a3,a3),f4(f5(a2,a1)),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[22,29,356,359,232,346,297,19,17,18])).
% 0.81/0.88 cnf(366,plain,
% 0.81/0.88 (E(x3661,f5(x3661,a3))),
% 0.81/0.88 inference(rename_variables,[],[26])).
% 0.81/0.88 cnf(368,plain,
% 0.81/0.88 (E(x3681,f5(x3681,a3))),
% 0.81/0.88 inference(rename_variables,[],[26])).
% 0.81/0.88 cnf(369,plain,
% 0.81/0.88 (~E(a3,f5(f5(a2,a3),a1))),
% 0.81/0.88 inference(scs_inference,[],[22,40,29,356,359,26,366,232,346,181,297,19,17,18,8,9,2])).
% 0.81/0.88 cnf(374,plain,
% 0.81/0.88 (E(f5(f5(x3741,a3),x3742),f5(x3741,x3742))),
% 0.81/0.88 inference(scs_inference,[],[22,40,29,356,359,32,26,366,368,232,345,346,181,297,54,149,19,17,18,8,9,2,3,7,5])).
% 0.81/0.88 cnf(375,plain,
% 0.81/0.88 (E(f4(f5(x3751,a3)),f4(x3751))),
% 0.81/0.88 inference(scs_inference,[],[22,40,29,356,359,32,26,366,368,232,345,346,181,297,54,149,19,17,18,8,9,2,3,7,5,4])).
% 0.81/0.88 cnf(381,plain,
% 0.81/0.88 (P1(x3811,f5(a3,a3),x3811)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(384,plain,
% 0.81/0.88 (P1(x3841,f5(a3,a3),x3841)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(387,plain,
% 0.81/0.88 (P1(f5(f5(x3871,a3),x3872),f5(a3,a3),f5(x3871,x3872))),
% 0.81/0.88 inference(scs_inference,[],[40,29,381,384,32,374,350,313,193,15,19,17,18,9])).
% 0.81/0.88 cnf(388,plain,
% 0.81/0.88 (P1(x3881,f5(a3,a3),x3881)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(389,plain,
% 0.81/0.88 (E(f5(a3,a3),f4(f5(a3,a3)))),
% 0.81/0.88 inference(scs_inference,[],[40,29,381,384,32,336,374,350,313,193,15,19,17,18,9,2])).
% 0.81/0.88 cnf(390,plain,
% 0.81/0.88 (~P1(f5(a3,a3),f5(f5(a3,a3),a3),f5(a2,a1))),
% 0.81/0.88 inference(scs_inference,[],[40,29,381,384,32,336,374,350,236,260,313,193,15,19,17,18,9,2,8])).
% 0.81/0.88 cnf(391,plain,
% 0.81/0.88 (E(f5(f5(x3911,a3),a3),x3911)),
% 0.81/0.88 inference(rename_variables,[],[260])).
% 0.81/0.88 cnf(392,plain,
% 0.81/0.88 (P1(f5(a3,a3),f5(a3,a3),f4(f5(a3,a3)))),
% 0.81/0.88 inference(scs_inference,[],[40,29,381,384,388,32,336,374,350,236,260,313,193,15,19,17,18,9,2,8,7])).
% 0.81/0.88 cnf(394,plain,
% 0.81/0.88 (~E(f4(a2),f5(f5(a1,a3),a3))),
% 0.81/0.88 inference(scs_inference,[],[22,40,29,381,384,388,32,336,374,350,236,260,391,313,193,15,19,17,18,9,2,8,7,3])).
% 0.81/0.88 cnf(397,plain,
% 0.81/0.88 (P1(x3971,f5(a3,a3),x3971)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(398,plain,
% 0.81/0.88 (P1(f5(x3981,a3),f5(a3,a3),x3981)),
% 0.81/0.88 inference(rename_variables,[],[331])).
% 0.81/0.88 cnf(400,plain,
% 0.81/0.88 (E(f5(a1,f5(a2,a3)),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[29,397,32,331,164,19,17])).
% 0.81/0.88 cnf(409,plain,
% 0.81/0.88 (P1(f5(x4091,a3),f5(f5(a3,a3),a3),x4091)),
% 0.81/0.88 inference(scs_inference,[],[41,29,397,32,26,331,398,285,263,164,11,19,17,18,2,8])).
% 0.81/0.88 cnf(411,plain,
% 0.81/0.88 (~E(f4(f5(a3,a3)),f5(a2,a1))),
% 0.81/0.88 inference(scs_inference,[],[41,29,397,32,26,392,331,398,285,263,226,164,11,19,17,18,2,8,9])).
% 0.81/0.88 cnf(416,plain,
% 0.81/0.88 (P1(f5(a3,a3),a3,a3)),
% 0.81/0.88 inference(scs_inference,[],[29,409,19])).
% 0.81/0.88 cnf(419,plain,
% 0.81/0.88 (P1(x4191,f5(a3,a3),x4191)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(424,plain,
% 0.81/0.88 (P1(f4(a3),f5(a3,a3),a3)),
% 0.81/0.88 inference(scs_inference,[],[24,29,419,409,340,199,19,17,18])).
% 0.81/0.88 cnf(431,plain,
% 0.81/0.88 (E(f5(a3,a3),f5(a1,f5(a2,a3)))),
% 0.81/0.88 inference(scs_inference,[],[24,41,29,419,389,409,400,340,184,199,271,19,17,18,8,9,2])).
% 0.81/0.88 cnf(439,plain,
% 0.81/0.88 (P1(x4391,f5(a3,a3),x4391)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(441,plain,
% 0.81/0.88 (~P1(f5(a2,a1),f5(a3,a3),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[29,439,352,387,67,19,17])).
% 0.81/0.88 cnf(442,plain,
% 0.81/0.88 (P1(x4421,f5(a3,a3),x4421)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(446,plain,
% 0.81/0.88 (P1(f5(a3,a3),f5(a3,a3),f5(a1,f5(a2,a3)))),
% 0.81/0.88 inference(scs_inference,[],[29,439,442,352,361,387,431,348,67,19,17,18,9])).
% 0.81/0.88 cnf(447,plain,
% 0.81/0.88 (P1(x4471,f5(a3,a3),x4471)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(453,plain,
% 0.81/0.88 (P1(f5(f5(a1,a2),a3),f5(a3,a3),a3)),
% 0.81/0.88 inference(scs_inference,[],[26,41,29,439,442,447,352,361,411,387,431,311,394,348,67,345,19,17,18,9,2,8,3,7])).
% 0.81/0.88 cnf(458,plain,
% 0.81/0.88 (E(f4(f5(a3,a3)),a3)),
% 0.81/0.88 inference(scs_inference,[],[29,390,446,164,14,19,17])).
% 0.81/0.88 cnf(460,plain,
% 0.81/0.88 (P1(x4601,f5(a3,a3),x4601)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(464,plain,
% 0.81/0.88 (P1(f5(x4641,a3),a3,f5(x4641,f5(a1,a2)))),
% 0.81/0.88 inference(rename_variables,[],[137])).
% 0.81/0.88 cnf(466,plain,
% 0.81/0.88 (E(f4(a3),f4(f4(a3)))),
% 0.81/0.88 inference(scs_inference,[],[41,29,460,390,446,292,137,164,14,19,17,18,2])).
% 0.81/0.88 cnf(467,plain,
% 0.81/0.88 (P1(f5(x4671,a3),f5(a3,a3),f5(x4671,f5(a1,a2)))),
% 0.81/0.88 inference(scs_inference,[],[26,41,29,460,390,446,292,137,464,164,14,19,17,18,2,8])).
% 0.81/0.88 cnf(468,plain,
% 0.81/0.88 (E(x4681,f5(x4681,a3))),
% 0.81/0.88 inference(rename_variables,[],[26])).
% 0.81/0.88 cnf(470,plain,
% 0.81/0.88 (~E(f5(f5(a1,a2),a3),f5(a2,a1))),
% 0.81/0.88 inference(scs_inference,[],[26,41,29,460,390,446,292,453,137,464,226,297,164,14,19,17,18,2,8,9,7])).
% 0.81/0.88 cnf(471,plain,
% 0.81/0.88 (~E(f5(a2,a3),f4(a1))),
% 0.81/0.88 inference(scs_inference,[],[26,468,41,29,460,75,390,446,292,453,137,464,226,297,164,14,19,17,18,2,8,9,7,3])).
% 0.81/0.88 cnf(474,plain,
% 0.81/0.88 (P1(x4741,f5(a3,a3),x4741)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(476,plain,
% 0.81/0.88 (~P1(x4761,f5(f4(x4761),a3),f5(a2,a1))),
% 0.81/0.88 inference(scs_inference,[],[29,36,41,218,424,19,17])).
% 0.81/0.88 cnf(483,plain,
% 0.81/0.88 (E(f5(x4831,f4(a3)),f5(x4831,a3))),
% 0.81/0.88 inference(rename_variables,[],[290])).
% 0.81/0.88 cnf(487,plain,
% 0.81/0.88 (E(f5(f4(a3),f4(a3)),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[29,474,36,41,441,470,290,483,291,218,140,424,260,19,17,18,8,9,2,3])).
% 0.81/0.88 cnf(491,plain,
% 0.81/0.88 (P1(f5(a3,a3),f4(a3),f4(a3))),
% 0.81/0.88 inference(scs_inference,[],[29,340,19])).
% 0.81/0.88 cnf(492,plain,
% 0.81/0.88 (P1(x4921,f5(a3,a3),x4921)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(494,plain,
% 0.81/0.88 (~P1(f5(x4941,f4(x4941)),f5(a3,a3),f5(a2,a1))),
% 0.81/0.88 inference(scs_inference,[],[29,492,195,340,19,17])).
% 0.81/0.88 cnf(495,plain,
% 0.81/0.88 (P1(x4951,f5(a3,a3),x4951)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(497,plain,
% 0.81/0.88 (P1(f5(f5(a3,a1),f4(a1)),a3,a3)),
% 0.81/0.88 inference(scs_inference,[],[29,492,195,80,87,340,15,19,17,18])).
% 0.81/0.88 cnf(500,plain,
% 0.81/0.88 (P1(f5(f4(a3),f4(a3)),f5(a3,a3),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[29,492,495,195,487,80,87,340,15,19,17,18,9])).
% 0.81/0.88 cnf(501,plain,
% 0.81/0.88 (P1(x5011,f5(a3,a3),x5011)),
% 0.81/0.88 inference(rename_variables,[],[29])).
% 0.81/0.88 cnf(502,plain,
% 0.81/0.88 (E(f5(a3,a3),f5(f4(a3),f4(a3)))),
% 0.81/0.88 inference(scs_inference,[],[29,492,495,195,487,80,87,340,15,19,17,18,9,2])).
% 0.81/0.88 cnf(504,plain,
% 0.81/0.88 (P1(f5(a3,a3),f5(a3,a3),f5(f4(a3),f4(a3)))),
% 0.81/0.88 inference(scs_inference,[],[29,492,495,501,41,195,487,80,87,340,458,15,19,17,18,9,2,8,7])).
% 0.81/0.88 cnf(507,plain,
% 0.81/0.88 (P1(f5(a3,a3),f5(f4(a3),f4(a3)),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[500,504,19])).
% 0.81/0.88 cnf(509,plain,
% 0.81/0.88 (E(f5(f4(a3),f4(a3)),a3)),
% 0.81/0.88 inference(scs_inference,[],[500,504,331,19,17])).
% 0.81/0.88 cnf(512,plain,
% 0.81/0.88 (~P1(f5(a3,a3),f5(f5(a2,a3),a1),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[47,500,504,331,453,19,17,18])).
% 0.81/0.88 cnf(515,plain,
% 0.81/0.88 (P1(f5(a3,a3),f5(a1,f5(a2,a3)),f4(a3))),
% 0.81/0.88 inference(scs_inference,[],[47,500,504,471,183,491,331,453,19,17,18,2,8])).
% 0.81/0.88 cnf(516,plain,
% 0.81/0.88 (~E(f5(f4(a3),f4(a3)),f5(a2,a1))),
% 0.81/0.88 inference(scs_inference,[],[47,500,504,471,183,491,331,453,226,19,17,18,2,8,9])).
% 0.81/0.88 cnf(519,plain,
% 0.81/0.88 (P1(f5(f4(a3),f4(a3)),f4(a3),f4(a3))),
% 0.81/0.88 inference(scs_inference,[],[45,47,500,504,502,471,183,491,308,331,453,226,19,17,18,2,8,9,3,7])).
% 0.81/0.88 cnf(536,plain,
% 0.81/0.88 (E(f5(x5361,x5362),f5(f5(x5361,a3),f5(x5362,a3)))),
% 0.81/0.88 inference(scs_inference,[],[32,36,512,244,467,515,466,209,509,497,170,201,202,375,140,164,19,17,18,8,9,2,7,3])).
% 0.81/0.88 cnf(548,plain,
% 0.81/0.88 (P1(f5(a3,a3),f5(f4(a3),f4(a3)),a3)),
% 0.81/0.88 inference(scs_inference,[],[36,47,54,507,358,333,416,387,331,11,19,17,18,9])).
% 0.81/0.88 cnf(549,plain,
% 0.81/0.88 (E(f5(x5491,a3),x5491)),
% 0.81/0.88 inference(rename_variables,[],[54])).
% 0.81/0.88 cnf(551,plain,
% 0.81/0.88 (~E(f5(f5(a3,a3),a3),f5(a2,a1))),
% 0.81/0.88 inference(scs_inference,[],[36,47,50,54,507,516,358,333,416,387,346,331,11,19,17,18,9,2,8])).
% 0.81/0.88 cnf(555,plain,
% 0.81/0.88 (P1(a3,f5(f4(a3),f4(a3)),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[36,47,50,54,549,507,516,358,333,416,387,217,346,331,11,19,17,18,9,2,8,3,7])).
% 0.81/0.88 cnf(562,plain,
% 0.81/0.88 (P1(x5621,f5(x5622,a3),f5(x5621,x5622))),
% 0.81/0.88 inference(rename_variables,[],[281])).
% 0.81/0.88 cnf(564,plain,
% 0.81/0.88 (P1(f5(a3,a3),f5(f4(a3),a3),f5(a3,a3))),
% 0.81/0.88 inference(scs_inference,[],[555,548,258,281,562,193,59,19,17,18])).
% 0.81/0.88 cnf(570,plain,
% 0.81/0.88 (E(f5(x5701,a3),x5701)),
% 0.81/0.88 inference(rename_variables,[],[54])).
% 0.81/0.88 cnf(571,plain,
% 0.81/0.88 (P1(a1,f5(a2,a3),a3)),
% 0.81/0.88 inference(scs_inference,[],[54,570,536,555,548,93,258,281,562,193,59,19,17,18,2,9,8])).
% 0.81/0.88 cnf(572,plain,
% 0.81/0.88 (E(f5(x5721,a3),x5721)),
% 0.81/0.88 inference(rename_variables,[],[54])).
% 0.81/0.88 cnf(573,plain,
% 0.81/0.88 (P1(a3,f5(a3,a3),f4(f5(a3,a3)))),
% 0.81/0.88 inference(scs_inference,[],[54,570,572,536,555,548,93,258,392,281,562,193,59,19,17,18,2,9,8,7])).
% 0.81/0.88 cnf(577,plain,
% 0.81/0.88 (E(f5(x5771,f5(a3,x5772)),f5(x5771,x5772))),
% 0.81/0.88 inference(scs_inference,[],[45,54,570,572,536,555,548,93,258,392,329,281,562,193,59,19,17,18,2,9,8,7,3,6])).
% 0.81/0.88 cnf(580,plain,
% 0.81/0.88 (~P1(f5(a3,a3),f5(a2,a3),f5(a2,a3))),
% 0.81/0.88 inference(scs_inference,[],[113,571,350,19])).
% 0.81/0.88 cnf(588,plain,
% 0.81/0.88 (E(f5(x5881,a3),x5881)),
% 0.81/0.88 inference(rename_variables,[],[54])).
% 0.81/0.88 cnf(591,plain,
% 0.81/0.88 (~E(f5(a2,a1),f5(f5(a3,a3),a3))),
% 0.81/0.88 inference(scs_inference,[],[55,47,54,588,551,369,113,571,350,19,17,18,9,8,2])).
% 0.81/0.88 cnf(606,plain,
% 0.81/0.88 (~P1(f5(a3,a3),f5(f5(a2,a3),a3),f5(a2,a3))),
% 0.81/0.88 inference(scs_inference,[],[45,54,580,564,494,476,519,333,218,346,19,17,18,8])).
% 0.81/0.88 cnf(607,plain,
% 0.81/0.88 (E(f5(x6071,a3),x6071)),
% 0.81/0.88 inference(rename_variables,[],[54])).
% 0.81/0.88 cnf(610,plain,
% 0.81/0.88 (E(f5(x6101,a3),x6101)),
% 0.81/0.88 inference(rename_variables,[],[54])).
% 0.81/0.88 cnf(613,plain,
% 0.81/0.88 (~E(f5(a2,a1),f5(f5(a3,a3),f5(a3,a3)))),
% 0.81/0.88 inference(scs_inference,[],[45,54,607,610,580,564,591,494,577,476,519,333,218,346,19,17,18,8,2,9,7,3])).
% 0.81/0.88 cnf(616,plain,
% 0.81/0.88 (P1(a3,f5(x6161,a3),x6161)),
% 0.81/0.88 inference(rename_variables,[],[59])).
% 0.81/0.88 cnf(623,plain,
% 0.81/0.88 (P1(a3,f5(x6231,a3),x6231)),
% 0.81/0.88 inference(rename_variables,[],[59])).
% 0.81/0.88 cnf(628,plain,
% 0.81/0.88 (E(f5(x6281,a3),x6281)),
% 0.81/0.88 inference(rename_variables,[],[54])).
% 0.81/0.88 cnf(633,plain,
% 0.81/0.88 ($false),
% 0.81/0.88 inference(scs_inference,[],[50,59,616,623,45,54,628,606,613,573,500,324,241,281,164,26,19,17,18,2,9,8,3,7]),
% 0.81/0.88 ['proof']).
% 0.81/0.88 % SZS output end Proof
% 0.81/0.88 % Total time :0.240000s
%------------------------------------------------------------------------------