TSTP Solution File: ROB009-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ROB009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 14:07:08 EDT 2023
% Result : Unsatisfiable 83.26s 83.53s
% Output : CNFRefutation 83.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ROB009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 06:51:58 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 83.26/83.51 %-------------------------------------------
% 83.26/83.51 % File :CSE---1.6
% 83.26/83.51 % Problem :theBenchmark
% 83.26/83.51 % Transform :cnf
% 83.26/83.51 % Format :tptp:raw
% 83.26/83.51 % Command :java -jar mcs_scs.jar %d %s
% 83.26/83.51
% 83.26/83.51 % Result :Theorem 82.770000s
% 83.26/83.51 % Output :CNFRefutation 82.770000s
% 83.26/83.51 %-------------------------------------------
% 83.26/83.53 %--------------------------------------------------------------------------
% 83.26/83.53 % File : ROB009-1 : TPTP v8.1.2. Released v1.0.0.
% 83.26/83.53 % Domain : Robbins Algebra
% 83.26/83.53 % Problem : If -(a + -(b + c)) = -(b + -(a + c)) then a = b
% 83.26/83.53 % Version : [Win90] (equality) axioms.
% 83.26/83.53 % English :
% 83.26/83.53
% 83.26/83.53 % Refs : [Win90] Winker (1990), Robbins Algebra: Conditions that make a
% 83.26/83.53 % Source : [Win90]
% 83.26/83.53 % Names : Lemma 3.2 [Win90]
% 83.26/83.53
% 83.26/83.53 % Status : Unsatisfiable
% 83.26/83.53 % Rating : 0.12 v8.1.0, 0.15 v7.5.0, 0.12 v7.4.0, 0.17 v7.3.0, 0.11 v7.1.0, 0.06 v7.0.0, 0.11 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.12 v6.0.0, 0.24 v5.5.0, 0.21 v5.4.0, 0.07 v5.3.0, 0.00 v5.1.0, 0.13 v5.0.0, 0.14 v4.1.0, 0.18 v4.0.1, 0.14 v4.0.0, 0.15 v3.7.0, 0.11 v3.4.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.14 v2.1.0, 0.50 v2.0.0
% 83.26/83.53 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% 83.26/83.53 % Number of literals : 5 ( 5 equ; 1 neg)
% 83.26/83.53 % Maximal clause size : 1 ( 1 avg)
% 83.26/83.53 % Maximal term depth : 6 ( 2 avg)
% 83.26/83.53 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 83.26/83.53 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 83.26/83.53 % Number of variables : 7 ( 0 sgn)
% 83.26/83.53 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 83.26/83.53
% 83.26/83.53 % Comments :
% 83.26/83.53 %--------------------------------------------------------------------------
% 83.26/83.53 %----Include axioms for Robbins algebra
% 83.26/83.53 include('Axioms/ROB001-0.ax').
% 83.26/83.53 %--------------------------------------------------------------------------
% 83.26/83.53 cnf(condition,hypothesis,
% 83.26/83.53 negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))) ).
% 83.26/83.53
% 83.26/83.53 cnf(prove_result,negated_conjecture,
% 83.26/83.53 a != b ).
% 83.26/83.53
% 83.26/83.53 %--------------------------------------------------------------------------
% 83.26/83.53 %-------------------------------------------
% 83.26/83.53 % Proof found
% 83.26/83.53 % SZS status Theorem for theBenchmark
% 83.26/83.53 % SZS output start Proof
% 83.39/83.54 %ClaNum:11(EqnAxiom:6)
% 83.39/83.54 %VarNum:15(SingletonVarNum:7)
% 83.39/83.54 %MaxLitNum:1
% 83.39/83.54 %MaxfuncDepth:5
% 83.39/83.54 %SharedTerms:11
% 83.39/83.54 %goalClause: 11
% 83.39/83.54 %singleGoalClaCount:1
% 83.39/83.54 [11]~E(a2,a3)
% 83.39/83.54 [9]E(f5(f1(a2,f5(f1(a3,a4)))),f5(f1(a3,f5(f1(a2,a4)))))
% 83.39/83.54 [7]E(f1(x71,x72),f1(x72,x71))
% 83.39/83.54 [10]E(f5(f1(f5(f1(x101,x102)),f5(f1(x101,f5(x102))))),x101)
% 83.39/83.54 [8]E(f1(f1(x81,x82),x83),f1(x81,f1(x82,x83)))
% 83.39/83.54 %EqnAxiom
% 83.39/83.54 [1]E(x11,x11)
% 83.39/83.54 [2]E(x22,x21)+~E(x21,x22)
% 83.39/83.54 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 83.39/83.54 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 83.39/83.54 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 83.39/83.54 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 83.39/83.54
% 83.39/83.54 %-------------------------------------------
% 83.39/83.56 cnf(12,plain,
% 83.39/83.56 (E(f5(f1(a3,f5(f1(a2,a4)))),f5(f1(a2,f5(f1(a3,a4)))))),
% 83.39/83.56 inference(scs_inference,[],[9,2])).
% 83.39/83.56 cnf(13,plain,
% 83.39/83.56 (E(f1(x131,f1(x132,x133)),f1(x132,f1(x133,x131)))),
% 83.39/83.56 inference(scs_inference,[],[9,7,8,2,3])).
% 83.39/83.56 cnf(15,plain,
% 83.39/83.56 (E(f1(x151,x152),f1(x152,x151))),
% 83.39/83.56 inference(rename_variables,[],[7])).
% 83.39/83.56 cnf(16,plain,
% 83.39/83.56 (E(f5(f1(x161,x162)),f5(f1(x162,x161)))),
% 83.39/83.56 inference(scs_inference,[],[9,7,15,8,2,3,6])).
% 83.39/83.56 cnf(17,plain,
% 83.39/83.56 (E(f1(x171,f1(x172,x173)),f1(x171,f1(x173,x172)))),
% 83.39/83.56 inference(scs_inference,[],[9,7,15,8,2,3,6,5])).
% 83.39/83.56 cnf(18,plain,
% 83.39/83.56 (E(f1(f1(x181,x182),x183),f1(f1(x182,x181),x183))),
% 83.39/83.56 inference(scs_inference,[],[9,7,15,8,2,3,6,5,4])).
% 83.39/83.56 cnf(19,plain,
% 83.39/83.56 (~E(a2,f5(f1(f5(f1(a3,x191)),f5(f1(a3,f5(x191))))))),
% 83.39/83.56 inference(scs_inference,[],[11,10,3])).
% 83.39/83.56 cnf(21,plain,
% 83.39/83.56 (~E(a3,a2)),
% 83.39/83.56 inference(scs_inference,[],[11,10,3,2])).
% 83.39/83.56 cnf(22,plain,
% 83.39/83.56 (E(f1(x221,f1(x222,x223)),f1(f1(x221,x222),x223))),
% 83.39/83.56 inference(scs_inference,[],[8,2])).
% 83.39/83.56 cnf(23,plain,
% 83.39/83.56 (E(f1(f1(x231,x232),x233),f1(f1(x232,x233),x231))),
% 83.39/83.56 inference(scs_inference,[],[7,8,2,3])).
% 83.39/83.56 cnf(28,plain,
% 83.39/83.56 (~E(f5(f1(f5(f1(a3,x281)),f5(f1(a3,f5(x281))))),a2)),
% 83.39/83.56 inference(scs_inference,[],[10,21,19,3,2])).
% 83.39/83.56 cnf(29,plain,
% 83.39/83.56 (E(f1(x291,f1(x292,x293)),f1(x293,f1(x291,x292)))),
% 83.39/83.56 inference(scs_inference,[],[13,2])).
% 83.39/83.56 cnf(30,plain,
% 83.39/83.56 (E(f1(x301,f1(f1(x302,x303),x304)),f1(x301,f1(x302,f1(x303,x304))))),
% 83.39/83.56 inference(scs_inference,[],[8,13,2,5])).
% 83.39/83.56 cnf(31,plain,
% 83.39/83.56 (E(f1(f1(f1(x311,x312),x313),x314),f1(f1(x311,f1(x312,x313)),x314))),
% 83.39/83.56 inference(scs_inference,[],[8,13,2,5,4])).
% 83.39/83.56 cnf(32,plain,
% 83.39/83.56 (E(f5(f1(f1(x321,x322),x323)),f5(f1(x321,f1(x322,x323))))),
% 83.39/83.56 inference(scs_inference,[],[8,13,2,5,4,6])).
% 83.39/83.56 cnf(33,plain,
% 83.39/83.56 (E(f1(f1(x331,x332),x333),f1(x332,f1(x333,x331)))),
% 83.39/83.56 inference(scs_inference,[],[8,13,2,5,4,6,3])).
% 83.39/83.56 cnf(38,plain,
% 83.39/83.56 (E(x381,f5(f1(f5(f1(x381,x382)),f5(f1(x381,f5(x382))))))),
% 83.39/83.56 inference(scs_inference,[],[16,10,19,3,2])).
% 83.39/83.56 cnf(39,plain,
% 83.39/83.56 (E(f5(f1(f5(f1(x391,f5(x392))),f5(f1(x391,x392)))),x391)),
% 83.39/83.56 inference(scs_inference,[],[16,10,3])).
% 83.39/83.56 cnf(42,plain,
% 83.39/83.56 (E(f5(f1(a3,f5(f1(a2,a4)))),f5(f1(f5(f1(a3,a4)),a2)))),
% 83.39/83.56 inference(scs_inference,[],[12,16,3])).
% 83.39/83.56 cnf(44,plain,
% 83.39/83.56 (E(x441,f5(f1(f5(f1(x441,f5(x442))),f5(f1(x441,x442)))))),
% 83.39/83.56 inference(scs_inference,[],[12,16,39,3,2])).
% 83.39/83.56 cnf(45,plain,
% 83.39/83.56 (E(f1(x451,f1(x452,f1(x453,x454))),f1(x451,f1(x452,f1(x454,x453))))),
% 83.39/83.56 inference(scs_inference,[],[17,12,16,39,3,2,5])).
% 83.39/83.56 cnf(46,plain,
% 83.39/83.56 (E(f5(f1(x461,f1(x462,x463))),f5(f1(x461,f1(x463,x462))))),
% 83.39/83.56 inference(scs_inference,[],[17,12,16,39,3,2,5,6])).
% 83.39/83.56 cnf(47,plain,
% 83.39/83.56 (E(f1(f1(x471,f1(x472,x473)),x474),f1(f1(x471,f1(x473,x472)),x474))),
% 83.39/83.56 inference(scs_inference,[],[17,12,16,39,3,2,5,6,4])).
% 83.39/83.56 cnf(48,plain,
% 83.39/83.56 (~E(a3,f5(f1(f5(f1(a2,f5(x481))),f5(f1(a2,x481)))))),
% 83.39/83.56 inference(scs_inference,[],[39,21,3])).
% 83.39/83.56 cnf(53,plain,
% 83.39/83.56 (E(f1(f1(x531,x532),x533),f1(f1(x533,x531),x532))),
% 83.39/83.56 inference(scs_inference,[],[12,16,23,3,2])).
% 83.39/83.56 cnf(54,plain,
% 83.39/83.56 (E(f1(x541,f1(x542,f1(x543,x544))),f1(x543,f1(x544,f1(x541,x542))))),
% 83.39/83.56 inference(scs_inference,[],[13,22,3])).
% 83.39/83.56 cnf(56,plain,
% 83.39/83.56 (E(f1(x561,f1(x562,x563)),f1(x562,f1(x563,x561)))),
% 83.39/83.56 inference(rename_variables,[],[13])).
% 83.39/83.56 cnf(59,plain,
% 83.39/83.56 (E(f1(f1(x591,f1(x592,x593)),x594),f1(f1(x592,f1(x593,x591)),x594))),
% 83.39/83.56 inference(scs_inference,[],[13,56,22,3,6,5,4])).
% 83.39/83.56 cnf(60,plain,
% 83.39/83.56 (E(f1(f1(x601,x602),f1(f1(x603,x604),x605)),f1(f1(x602,x601),f1(x603,f1(x604,x605))))),
% 83.39/83.56 inference(scs_inference,[],[18,30,3])).
% 83.39/83.56 cnf(64,plain,
% 83.39/83.56 (E(f1(f1(f1(x641,x642),x643),x644),f1(f1(f1(x642,x643),x641),x644))),
% 83.39/83.56 inference(scs_inference,[],[18,31,3])).
% 83.39/83.56 cnf(67,plain,
% 83.39/83.56 (E(f5(f1(x671,f1(x672,x673))),f5(f1(f1(x671,x672),x673)))),
% 83.39/83.56 inference(scs_inference,[],[22,6])).
% 83.39/83.56 cnf(68,plain,
% 83.39/83.56 (E(f1(f1(x681,f1(x682,x683)),x684),f1(f1(f1(x681,x682),x683),x684))),
% 83.39/83.56 inference(scs_inference,[],[22,6,4])).
% 83.39/83.56 cnf(69,plain,
% 83.39/83.56 (E(f1(x691,f1(f1(x692,x693),x694)),f1(x691,f1(f1(x693,x692),x694)))),
% 83.39/83.56 inference(scs_inference,[],[22,18,6,4,5])).
% 83.39/83.56 cnf(70,plain,
% 83.39/83.56 (E(f1(x701,f1(x702,x703)),f1(f1(x703,x701),x702))),
% 83.39/83.56 inference(scs_inference,[],[33,2])).
% 83.39/83.56 cnf(71,plain,
% 83.39/83.56 (E(f1(f1(x711,x712),f1(x713,x714)),f1(f1(f1(x712,x711),x713),x714))),
% 83.39/83.56 inference(scs_inference,[],[18,22,3])).
% 83.39/83.56 cnf(75,plain,
% 83.39/83.56 (E(f5(f1(f1(x751,x752),x753)),f5(f1(f1(x752,x753),x751)))),
% 83.39/83.56 inference(scs_inference,[],[23,44,4,6])).
% 83.39/83.56 cnf(77,plain,
% 83.39/83.56 (E(f1(f1(x771,x772),f1(f1(x773,x774),x775)),f1(f1(x771,f1(x773,f1(x774,x775))),x772))),
% 83.39/83.56 inference(scs_inference,[],[23,44,60,4,6,5,3])).
% 83.39/83.56 cnf(87,plain,
% 83.39/83.56 (E(f1(x871,f1(x872,f1(x873,x874))),f1(x874,f1(f1(x871,x872),x873)))),
% 83.39/83.56 inference(scs_inference,[],[22,29,3])).
% 83.39/83.56 cnf(91,plain,
% 83.39/83.56 (E(f5(f1(x911,f1(f1(x912,x913),x914))),f5(f1(x911,f1(x912,f1(x913,x914)))))),
% 83.39/83.56 inference(scs_inference,[],[30,6])).
% 83.39/83.56 cnf(92,plain,
% 83.39/83.56 (E(f1(f1(x921,f1(f1(x922,x923),x924)),x925),f1(f1(x921,f1(x922,f1(x923,x924))),x925))),
% 83.39/83.56 inference(scs_inference,[],[30,6,4])).
% 83.39/83.56 cnf(97,plain,
% 83.39/83.56 (E(f1(f1(f1(x971,x972),x973),x974),f1(f1(x972,x971),f1(x973,x974)))),
% 83.39/83.56 inference(scs_inference,[],[71,2])).
% 83.39/83.56 cnf(98,plain,
% 83.39/83.56 (E(f1(f1(f1(x981,x982),x983),f1(f1(x984,x985),x986)),f1(f1(x981,f1(x982,x983)),f1(x984,f1(x985,x986))))),
% 83.39/83.56 inference(scs_inference,[],[31,30,71,2,3])).
% 83.39/83.56 cnf(102,plain,
% 83.39/83.56 (E(f1(f5(f1(f1(x1021,x1022),x1023)),x1024),f1(f5(f1(x1021,f1(x1022,x1023))),x1024))),
% 83.39/83.56 inference(scs_inference,[],[32,6,4])).
% 83.39/83.56 cnf(103,plain,
% 83.39/83.56 (E(f1(x1031,f5(f1(f1(x1032,x1033),x1034))),f1(x1031,f5(f1(x1032,f1(x1033,x1034)))))),
% 83.39/83.56 inference(scs_inference,[],[32,6,4,5])).
% 83.39/83.56 cnf(104,plain,
% 83.39/83.56 (E(f1(f1(x1041,x1042),f1(x1043,x1044)),f1(x1042,f1(x1043,f1(x1044,x1041))))),
% 83.39/83.56 inference(scs_inference,[],[30,33,3])).
% 83.39/83.56 cnf(107,plain,
% 83.39/83.56 (E(f5(f1(f1(x1071,x1072),x1073)),f5(f1(f1(x1073,x1071),x1072)))),
% 83.39/83.56 inference(scs_inference,[],[30,33,75,3,2])).
% 83.39/83.56 cnf(108,plain,
% 83.39/83.56 (E(f1(f1(x1081,x1082),f1(f1(x1083,x1084),x1085)),f1(x1082,f1(f1(x1083,f1(x1084,x1085)),x1081)))),
% 83.39/83.56 inference(scs_inference,[],[30,33,3])).
% 83.39/83.56 cnf(118,plain,
% 83.39/83.56 (E(f5(f1(f1(x1181,x1182),x1183)),f5(f1(x1182,f1(x1183,x1181))))),
% 83.39/83.56 inference(scs_inference,[],[33,6])).
% 83.39/83.56 cnf(124,plain,
% 83.39/83.56 (E(f1(f1(x1241,f1(x1242,f1(x1243,x1244))),x1245),f1(f1(x1241,x1245),f1(f1(x1242,x1243),x1244)))),
% 83.39/83.56 inference(scs_inference,[],[77,2])).
% 83.39/83.56 cnf(128,plain,
% 83.39/83.56 (E(f5(f1(f5(f1(a3,a4)),a2)),f5(f1(a3,f5(f1(a2,a4)))))),
% 83.39/83.56 inference(scs_inference,[],[42,2])).
% 83.39/83.56 cnf(130,plain,
% 83.39/83.56 (E(f1(f1(f1(x1301,f1(x1302,x1303)),x1304),x1305),f1(f1(f1(x1301,f1(x1303,x1302)),x1304),x1305))),
% 83.39/83.56 inference(scs_inference,[],[44,47,6,4])).
% 83.39/83.56 cnf(132,plain,
% 83.39/83.56 (E(f1(f1(x1321,f1(x1322,x1323)),f1(x1324,f1(x1325,x1326))),f1(f1(f1(x1321,x1322),x1323),f1(x1324,f1(x1326,x1325))))),
% 83.39/83.56 inference(scs_inference,[],[45,68,3])).
% 83.39/83.56 cnf(135,plain,
% 83.39/83.56 (E(f5(f1(x1351,f1(x1352,x1353))),f5(f1(f1(x1351,x1353),x1352)))),
% 83.39/83.56 inference(scs_inference,[],[46,67,3])).
% 83.39/83.56 cnf(149,plain,
% 83.39/83.56 (E(f1(x1491,f1(x1492,f1(x1493,f1(x1494,x1495)))),f1(x1491,f1(x1492,f1(x1493,f1(x1495,x1494)))))),
% 83.39/83.56 inference(scs_inference,[],[45,46,54,91,3,6,4,5])).
% 83.39/83.56 cnf(177,plain,
% 83.39/83.56 (E(f1(f1(x1771,f1(x1772,x1773)),f1(x1774,x1775)),f1(f1(f1(x1774,f1(x1775,x1771)),x1772),x1773))),
% 83.39/83.56 inference(scs_inference,[],[53,59,69,104,6,4,5,3])).
% 83.39/83.56 cnf(190,plain,
% 83.39/83.56 (E(f1(x1901,f5(f1(x1902,f1(x1903,x1904)))),f1(x1901,f5(f1(f1(x1902,x1903),x1904))))),
% 83.39/83.56 inference(scs_inference,[],[103,2])).
% 83.39/83.56 cnf(196,plain,
% 83.39/83.56 (E(f1(x1961,f1(f1(f1(x1962,x1963),x1964),x1965)),f1(x1961,f1(f1(f1(x1963,x1964),x1962),x1965)))),
% 83.39/83.56 inference(scs_inference,[],[64,6,4,5])).
% 83.39/83.56 cnf(200,plain,
% 83.39/83.56 (E(f1(x2001,f1(f1(x2002,f1(x2003,x2004)),x2005)),f1(f1(x2005,x2001),f1(f1(x2002,x2003),x2004)))),
% 83.39/83.56 inference(scs_inference,[],[108,2])).
% 83.39/83.56 cnf(201,plain,
% 83.39/83.56 (E(f1(f1(x2011,f1(x2012,x2013)),f1(f1(x2014,x2015),x2016)),f1(f1(x2013,f1(x2011,x2012)),f1(x2014,f1(x2015,x2016))))),
% 83.39/83.56 inference(scs_inference,[],[60,68,3])).
% 83.39/83.56 cnf(230,plain,
% 83.39/83.56 (E(f1(x2301,f1(f1(x2302,x2303),x2304)),f1(f1(f1(x2301,x2304),x2302),x2303))),
% 83.39/83.56 inference(scs_inference,[],[70,71,3])).
% 83.39/83.56 cnf(283,plain,
% 83.39/83.56 (E(f1(x2831,f1(x2832,f1(x2833,f1(x2834,x2835)))),f1(x2831,f1(x2835,f1(f1(x2832,x2833),x2834))))),
% 83.39/83.56 inference(scs_inference,[],[87,107,6,4,5])).
% 83.39/83.56 cnf(293,plain,
% 83.39/83.56 (E(f1(x2931,f1(f1(f1(x2932,x2933),x2934),x2935)),f1(x2931,f1(f1(x2933,x2932),f1(x2934,x2935))))),
% 83.39/83.56 inference(scs_inference,[],[97,6,4,5])).
% 83.39/83.56 cnf(294,plain,
% 83.39/83.56 (E(f1(f1(f1(x2941,x2942),f1(f1(x2943,x2944),x2945)),x2946),f1(f1(x2942,x2941),f1(f1(x2943,f1(x2944,x2945)),x2946)))),
% 83.39/83.56 inference(scs_inference,[],[92,97,6,4,5,3])).
% 83.39/83.56 cnf(297,plain,
% 83.39/83.56 (E(f1(f1(x2971,f1(x2972,x2973)),f1(x2974,f1(x2975,x2976))),f1(f1(f1(x2971,x2972),x2973),f1(f1(x2974,x2975),x2976)))),
% 83.39/83.56 inference(scs_inference,[],[98,2])).
% 83.39/83.56 cnf(298,plain,
% 83.39/83.56 (E(f1(f1(x2981,f1(f1(x2982,x2983),x2984)),f1(x2985,x2986)),f1(f1(f1(x2985,f1(x2986,x2981)),x2982),f1(x2983,x2984)))),
% 83.39/83.56 inference(scs_inference,[],[92,177,3])).
% 83.39/83.56 cnf(316,plain,
% 83.39/83.56 (E(f1(x3161,f1(x3162,f1(x3163,x3164))),f1(f1(x3164,x3161),f1(x3162,x3163)))),
% 83.39/83.56 inference(scs_inference,[],[104,2])).
% 83.39/83.56 cnf(323,plain,
% 83.39/83.56 (E(f1(f1(x3231,f5(f1(f1(x3232,x3233),x3234))),f1(x3235,x3236)),f1(f5(f1(x3232,f1(x3233,x3234))),f1(x3235,f1(x3236,x3231))))),
% 83.39/83.56 inference(scs_inference,[],[102,107,104,6,4,5,3])).
% 83.39/83.56 cnf(351,plain,
% 83.39/83.56 (E(f1(f1(x3511,f1(f1(x3512,x3513),x3514)),x3515),f1(f1(f1(f1(x3511,x3514),x3512),x3513),x3515))),
% 83.39/83.56 inference(scs_inference,[],[230,6,4])).
% 83.39/83.56 cnf(356,plain,
% 83.39/83.56 (E(f5(f1(x3561,f1(x3562,x3563))),f5(f1(f1(x3563,x3561),x3562)))),
% 83.39/83.56 inference(scs_inference,[],[118,2])).
% 83.39/83.56 cnf(395,plain,
% 83.39/83.56 (E(f1(f1(x3951,f1(x3952,f1(x3953,x3954))),f1(x3955,x3956)),f1(f1(x3956,f1(x3951,x3955)),f1(x3952,f1(x3953,x3954))))),
% 83.39/83.56 inference(scs_inference,[],[124,201,3])).
% 83.39/83.56 cnf(418,plain,
% 83.39/83.56 (E(f5(f1(f1(x4181,x4182),x4183)),f5(f1(x4181,f1(x4183,x4182))))),
% 83.39/83.56 inference(scs_inference,[],[130,132,135,3,2])).
% 83.39/83.56 cnf(460,plain,
% 83.39/83.56 (E(f1(x4601,f1(x4602,f1(x4603,f1(x4604,x4605)))),f1(x4601,f1(f1(x4605,x4602),f1(x4603,x4604))))),
% 83.39/83.56 inference(scs_inference,[],[316,6,4,5])).
% 83.39/83.56 cnf(464,plain,
% 83.39/83.56 (E(f1(f1(x4641,x4642),f1(f1(x4643,f1(x4644,x4645)),x4646)),f1(f1(f1(x4642,x4641),f1(f1(x4643,x4644),x4645)),x4646))),
% 83.39/83.56 inference(scs_inference,[],[294,2])).
% 83.39/83.56 cnf(479,plain,
% 83.39/83.56 (E(f1(x4791,f5(f1(x4792,f1(x4793,x4794)))),f1(x4791,f5(f1(f1(x4794,x4792),x4793))))),
% 83.39/83.56 inference(scs_inference,[],[356,6,4,5])).
% 83.39/83.56 cnf(480,plain,
% 83.39/83.56 (E(f1(x4801,f1(x4802,f1(x4803,f1(x4804,x4805)))),f1(x4801,f1(x4804,f1(f1(x4802,x4803),x4805))))),
% 83.39/83.56 inference(scs_inference,[],[149,283,356,6,4,5,3])).
% 83.39/83.56 cnf(487,plain,
% 83.39/83.56 (E(f1(f1(f1(x4871,f1(x4872,f1(x4873,x4874))),f1(x4875,x4876)),x4877),f1(f1(f1(x4876,f1(x4871,x4875)),f1(x4872,f1(x4873,x4874))),x4877))),
% 83.39/83.56 inference(scs_inference,[],[395,6,4])).
% 83.39/83.56 cnf(511,plain,
% 83.39/83.56 (E(f1(f5(f1(x5111,f1(x5112,x5113))),f1(x5114,f1(x5115,x5116))),f1(f1(x5116,f5(f1(f1(x5111,x5112),x5113))),f1(x5114,x5115)))),
% 83.39/83.56 inference(scs_inference,[],[323,2])).
% 83.39/83.56 cnf(590,plain,
% 83.39/83.56 (E(f1(x5901,f5(f1(f1(x5902,x5903),x5904))),f1(x5901,f5(f1(x5902,f1(x5904,x5903)))))),
% 83.39/83.56 inference(scs_inference,[],[418,118,4,6,5])).
% 83.39/83.56 cnf(604,plain,
% 83.39/83.56 (E(f1(x6041,f1(f1(f1(x6042,x6043),f1(x6044,x6045)),x6046)),f1(f1(x6046,x6041),f1(f1(f1(x6043,x6044),x6042),x6045)))),
% 83.39/83.56 inference(scs_inference,[],[196,200,351,2,3])).
% 83.39/83.56 cnf(654,plain,
% 83.39/83.56 (E(f5(f1(f5(f1(x6541,x6542)),x6543)),f5(f1(f5(f1(x6542,x6541)),x6543)))),
% 83.39/83.56 inference(scs_inference,[],[16,4,6])).
% 83.39/83.56 cnf(691,plain,
% 83.39/83.56 (E(f5(f1(x6911,f5(f1(x6912,x6913)))),f5(f1(x6911,f5(f1(x6913,x6912)))))),
% 83.39/83.56 inference(scs_inference,[],[16,60,4,5,6])).
% 83.39/83.56 cnf(842,plain,
% 83.39/83.56 (E(f1(f1(x8421,f1(x8422,x8423)),f1(f1(x8424,x8425),f1(x8426,x8427))),f1(f1(f1(x8421,x8422),x8423),f1(f1(x8425,x8424),f1(x8426,x8427))))),
% 83.39/83.56 inference(scs_inference,[],[293,297,298,2,3])).
% 83.39/83.56 cnf(1080,plain,
% 83.39/83.56 (~E(f5(f1(f5(f1(x10801,a3)),f5(f1(a3,f5(x10801))))),a2)),
% 83.39/83.56 inference(scs_inference,[],[604,654,28,2,3])).
% 83.39/83.56 cnf(1082,plain,
% 83.39/83.56 (~E(a2,f5(f1(f5(f1(x10821,a3)),f5(f1(a3,f5(x10821))))))),
% 83.39/83.56 inference(scs_inference,[],[1080,2])).
% 83.39/83.56 cnf(1186,plain,
% 83.39/83.56 (~E(f5(f1(f5(f1(a2,x11861)),f5(f1(a2,f5(x11861))))),f5(f1(f5(f1(x11862,a3)),f5(f1(a3,f5(x11862))))))),
% 83.39/83.56 inference(scs_inference,[],[38,1082,3])).
% 83.39/83.56 cnf(1192,plain,
% 83.39/83.56 (~E(f1(f5(f1(a2,x11921)),f5(f1(a2,f5(x11921)))),f1(f5(f1(x11922,a3)),f5(f1(a3,f5(x11922)))))),
% 83.39/83.56 inference(scs_inference,[],[1186,6])).
% 83.39/83.56 cnf(1203,plain,
% 83.39/83.56 (~E(f1(f5(f1(x12031,a3)),f5(f1(a3,f5(x12031)))),f1(f5(f1(a2,x12032)),f5(f1(a2,f5(x12032)))))),
% 83.39/83.56 inference(scs_inference,[],[460,464,1192,6,5,3,2])).
% 83.39/83.56 cnf(1265,plain,
% 83.39/83.56 (~E(f5(f1(f5(f1(a2,f5(x12651))),f5(f1(a2,x12651)))),f5(f1(f5(f1(a3,x12652)),f5(f1(a3,f5(x12652))))))),
% 83.39/83.56 inference(scs_inference,[],[48,38,3,2])).
% 83.39/83.56 cnf(1274,plain,
% 83.39/83.56 (~E(f1(f5(f1(a2,f5(x12741))),f5(f1(a2,x12741))),f1(f5(f1(a3,x12742)),f5(f1(a3,f5(x12742)))))),
% 83.39/83.56 inference(scs_inference,[],[1265,6])).
% 83.39/83.56 cnf(1294,plain,
% 83.39/83.56 (~E(f1(f5(f1(a2,f5(f1(x12941,x12942)))),f5(f1(f1(x12942,a2),x12941))),f1(f5(f1(a3,x12943)),f5(f1(a3,f5(x12943)))))),
% 83.39/83.56 inference(scs_inference,[],[479,1274,3])).
% 83.39/83.56 cnf(1318,plain,
% 83.39/83.56 (~E(f1(f5(f1(a2,f5(f1(x13181,x13182)))),f5(f1(x13182,f1(x13181,a2)))),f1(f5(f1(a3,x13183)),f5(f1(a3,f5(x13183)))))),
% 83.39/83.56 inference(scs_inference,[],[590,1294,3])).
% 83.39/83.56 cnf(1325,plain,
% 83.39/83.56 (~E(f1(f5(f1(a3,x13251)),f5(f1(a3,f5(x13251)))),f1(f5(f1(a2,f5(f1(x13252,x13253)))),f5(f1(x13253,f1(x13252,a2)))))),
% 83.39/83.56 inference(scs_inference,[],[480,487,1318,3,2])).
% 83.39/83.56 cnf(1381,plain,
% 83.39/83.56 (~E(f1(f5(f1(a2,x13811)),f5(f1(a2,f5(x13811)))),f1(f5(f1(a3,f5(x13812))),f5(f1(x13812,a3))))),
% 83.39/83.56 inference(scs_inference,[],[7,1203,3,2])).
% 83.39/83.56 cnf(1513,plain,
% 83.39/83.56 (~E(f1(f5(f1(a2,f5(f1(x15131,x15132)))),f5(f1(x15132,f1(x15131,a2)))),f1(f5(f1(a3,f5(x15133))),f5(f1(a3,x15133))))),
% 83.39/83.56 inference(scs_inference,[],[7,1325,3,2])).
% 83.39/83.56 cnf(1830,plain,
% 83.39/83.56 (~E(f1(f5(f1(a3,f5(f1(x18301,x18302)))),f5(f1(x18301,f1(x18302,a3)))),f1(f5(f1(a2,x18303)),f5(f1(a2,f5(x18303)))))),
% 83.39/83.56 inference(scs_inference,[],[190,1381,3,2])).
% 83.39/83.56 cnf(1832,plain,
% 83.39/83.56 (~E(f1(f5(f1(x18321,f1(x18322,a3))),f5(f1(a3,f5(f1(x18321,x18322))))),f1(f5(f1(a2,x18323)),f5(f1(a2,f5(x18323)))))),
% 83.39/83.56 inference(scs_inference,[],[7,842,1830,2,3])).
% 83.39/83.56 cnf(1837,plain,
% 83.39/83.56 (~E(f5(f1(a3,f5(f1(a2,x18371)))),f5(f1(a2,f5(f1(x18371,a3)))))),
% 83.39/83.56 inference(scs_inference,[],[1832,2,5])).
% 83.39/83.56 cnf(1849,plain,
% 83.39/83.56 (~E(f5(f1(a2,f5(f1(x18491,a3)))),f5(f1(a3,f5(f1(a2,x18491)))))),
% 83.39/83.56 inference(scs_inference,[],[1837,2])).
% 83.39/83.56 cnf(1934,plain,
% 83.39/83.56 (~E(f1(f5(f1(a2,f5(f1(x19341,x19342)))),f5(f1(f1(x19342,x19341),a2))),f1(f5(f1(a3,f5(x19343))),f5(f1(a3,x19343))))),
% 83.39/83.56 inference(scs_inference,[],[190,511,1513,6,3])).
% 83.39/83.56 cnf(1939,plain,
% 83.39/83.56 (~E(f1(a2,f5(f1(a4,a3))),f1(f5(f1(a3,a4)),a2))),
% 83.39/83.56 inference(scs_inference,[],[128,1849,1934,2,3,6])).
% 83.39/83.56 cnf(1946,plain,
% 83.39/83.56 ($false),
% 83.39/83.56 inference(scs_inference,[],[12,1837,691,1939,2,3]),
% 83.39/83.56 ['proof']).
% 83.39/83.56 % SZS output end Proof
% 83.39/83.56 % Total time :82.770000s
%------------------------------------------------------------------------------