TSTP Solution File: ROB008-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ROB008-1 : 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 : n027.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 135.37s 135.61s
% Output : CNFRefutation 135.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ROB008-1 : 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
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 07:19:37 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 135.37/135.59 %-------------------------------------------
% 135.37/135.59 % File :CSE---1.6
% 135.37/135.59 % Problem :theBenchmark
% 135.37/135.59 % Transform :cnf
% 135.37/135.59 % Format :tptp:raw
% 135.37/135.59 % Command :java -jar mcs_scs.jar %d %s
% 135.37/135.59
% 135.37/135.59 % Result :Theorem 134.810000s
% 135.37/135.59 % Output :CNFRefutation 134.810000s
% 135.37/135.59 %-------------------------------------------
% 135.37/135.60 %--------------------------------------------------------------------------
% 135.37/135.60 % File : ROB008-1 : TPTP v8.1.2. Released v1.0.0.
% 135.37/135.60 % Domain : Robbins Algebra
% 135.37/135.60 % Problem : If -(a + -(b + c)) = -(a + b + -c) then a+b=a
% 135.37/135.60 % Version : [Win90] (equality) axioms.
% 135.37/135.60 % English :
% 135.37/135.60
% 135.37/135.60 % Refs : [Win90] Winker (1990), Robbins Algebra: Conditions that make a
% 135.37/135.60 % Source : [Win90]
% 135.37/135.60 % Names : Lemma 3.1 [Win90]
% 135.37/135.60
% 135.37/135.61 % Status : Unsatisfiable
% 135.37/135.61 % Rating : 0.12 v8.1.0, 0.20 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, 0.06 v6.2.0, 0.07 v6.1.0, 0.19 v6.0.0, 0.24 v5.5.0, 0.21 v5.4.0, 0.13 v5.3.0, 0.08 v5.2.0, 0.07 v5.1.0, 0.20 v5.0.0, 0.14 v4.1.0, 0.09 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.00 v2.2.1, 0.44 v2.2.0, 0.43 v2.1.0, 0.62 v2.0.0
% 135.37/135.61 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% 135.37/135.61 % Number of literals : 5 ( 5 equ; 1 neg)
% 135.37/135.61 % Maximal clause size : 1 ( 1 avg)
% 135.37/135.61 % Maximal term depth : 6 ( 2 avg)
% 135.37/135.61 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 135.37/135.61 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 135.37/135.61 % Number of variables : 7 ( 0 sgn)
% 135.37/135.61 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 135.37/135.61
% 135.37/135.61 % Comments :
% 135.37/135.61 %--------------------------------------------------------------------------
% 135.37/135.61 %----Include axioms for Robbins algebra
% 135.37/135.61 include('Axioms/ROB001-0.ax').
% 135.37/135.61 %--------------------------------------------------------------------------
% 135.37/135.61 cnf(condition,hypothesis,
% 135.37/135.61 negate(add(a,negate(add(b,c)))) = negate(add(a,add(b,negate(c)))) ).
% 135.37/135.61
% 135.37/135.61 cnf(prove_result,negated_conjecture,
% 135.37/135.61 add(a,b) != a ).
% 135.37/135.61
% 135.37/135.61 %--------------------------------------------------------------------------
% 135.37/135.61 %-------------------------------------------
% 135.37/135.61 % Proof found
% 135.37/135.61 % SZS status Theorem for theBenchmark
% 135.37/135.61 % SZS output start Proof
% 135.47/135.62 %ClaNum:11(EqnAxiom:6)
% 135.47/135.62 %VarNum:15(SingletonVarNum:7)
% 135.47/135.62 %MaxLitNum:1
% 135.47/135.62 %MaxfuncDepth:5
% 135.47/135.62 %SharedTerms:11
% 135.47/135.62 %goalClause: 11
% 135.47/135.62 %singleGoalClaCount:1
% 135.47/135.62 [11]~E(f1(a2,a3),a2)
% 135.47/135.62 [9]E(f5(f1(a2,f5(f1(a3,a4)))),f5(f1(a2,f1(a3,f5(a4)))))
% 135.47/135.62 [7]E(f1(x71,x72),f1(x72,x71))
% 135.47/135.62 [10]E(f5(f1(f5(f1(x101,x102)),f5(f1(x101,f5(x102))))),x101)
% 135.47/135.62 [8]E(f1(f1(x81,x82),x83),f1(x81,f1(x82,x83)))
% 135.47/135.62 %EqnAxiom
% 135.47/135.62 [1]E(x11,x11)
% 135.47/135.62 [2]E(x22,x21)+~E(x21,x22)
% 135.47/135.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 135.47/135.62 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 135.47/135.62 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 135.47/135.62 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 135.47/135.62
% 135.47/135.62 %-------------------------------------------
% 135.47/135.64 cnf(12,plain,
% 135.47/135.64 (E(f5(f1(a2,f1(a3,f5(a4)))),f5(f1(a2,f5(f1(a3,a4)))))),
% 135.47/135.64 inference(scs_inference,[],[9,2])).
% 135.47/135.64 cnf(13,plain,
% 135.47/135.64 (E(f1(x131,f1(x132,x133)),f1(x132,f1(x133,x131)))),
% 135.47/135.64 inference(scs_inference,[],[9,7,8,2,3])).
% 135.47/135.64 cnf(15,plain,
% 135.47/135.64 (E(f1(x151,x152),f1(x152,x151))),
% 135.47/135.64 inference(rename_variables,[],[7])).
% 135.47/135.64 cnf(16,plain,
% 135.47/135.64 (E(f5(f1(x161,x162)),f5(f1(x162,x161)))),
% 135.47/135.64 inference(scs_inference,[],[9,7,15,8,2,3,6])).
% 135.47/135.64 cnf(17,plain,
% 135.47/135.64 (E(f1(x171,f1(x172,x173)),f1(x171,f1(x173,x172)))),
% 135.47/135.64 inference(scs_inference,[],[9,7,15,8,2,3,6,5])).
% 135.47/135.64 cnf(18,plain,
% 135.47/135.64 (E(f1(f1(x181,x182),x183),f1(f1(x182,x181),x183))),
% 135.47/135.64 inference(scs_inference,[],[9,7,15,8,2,3,6,5,4])).
% 135.47/135.64 cnf(19,plain,
% 135.47/135.64 (~E(a2,f1(a2,a3))),
% 135.47/135.64 inference(scs_inference,[],[11,2])).
% 135.47/135.64 cnf(20,plain,
% 135.47/135.64 (~E(f1(a3,a2),a2)),
% 135.47/135.64 inference(scs_inference,[],[11,7,2,3])).
% 135.47/135.64 cnf(22,plain,
% 135.47/135.64 (E(x221,f5(f1(f5(f1(x221,x222)),f5(f1(x221,f5(x222))))))),
% 135.47/135.64 inference(scs_inference,[],[10,2])).
% 135.47/135.64 cnf(23,plain,
% 135.47/135.64 (E(f5(f1(f5(f1(f1(x231,x232),x233)),f5(f1(f1(x231,x232),f5(x233))))),f1(x232,x231))),
% 135.47/135.64 inference(scs_inference,[],[7,10,2,3])).
% 135.47/135.64 cnf(25,plain,
% 135.47/135.64 (~E(a2,f1(a3,a2))),
% 135.47/135.64 inference(scs_inference,[],[20,2])).
% 135.47/135.64 cnf(26,plain,
% 135.47/135.64 (~E(f1(a3,a2),f5(f1(f5(f1(a2,x261)),f5(f1(a2,f5(x261))))))),
% 135.47/135.64 inference(scs_inference,[],[10,20,2,3])).
% 135.47/135.64 cnf(28,plain,
% 135.47/135.64 (E(f1(x281,f1(x282,x283)),f1(f1(x281,x282),x283))),
% 135.47/135.64 inference(scs_inference,[],[8,2])).
% 135.47/135.64 cnf(31,plain,
% 135.47/135.64 (E(f5(f1(f1(x311,x312),x313)),f5(f1(x311,f1(x312,x313))))),
% 135.47/135.64 inference(scs_inference,[],[8,22,25,2,3,6])).
% 135.47/135.64 cnf(32,plain,
% 135.47/135.64 (E(f1(f1(f1(x321,x322),x323),x324),f1(f1(x321,f1(x322,x323)),x324))),
% 135.47/135.64 inference(scs_inference,[],[8,22,25,2,3,6,4])).
% 135.47/135.64 cnf(33,plain,
% 135.47/135.64 (E(f1(x331,f1(f1(x332,x333),x334)),f1(x331,f1(x332,f1(x333,x334))))),
% 135.47/135.64 inference(scs_inference,[],[8,22,25,2,3,6,4,5])).
% 135.47/135.64 cnf(34,plain,
% 135.47/135.64 (E(f1(f1(x341,x342),x343),f1(x342,f1(x343,x341)))),
% 135.47/135.64 inference(scs_inference,[],[8,13,3])).
% 135.47/135.64 cnf(36,plain,
% 135.47/135.64 (E(f5(f1(f5(f1(a3,a4)),a2)),f5(f1(a2,f1(a3,f5(a4)))))),
% 135.47/135.64 inference(scs_inference,[],[9,16,3])).
% 135.47/135.64 cnf(38,plain,
% 135.47/135.64 (~E(f5(f1(f5(f1(a2,x381)),f5(f1(a2,f5(x381))))),f1(a2,a3))),
% 135.47/135.64 inference(scs_inference,[],[19,22,3])).
% 135.47/135.64 cnf(45,plain,
% 135.47/135.64 (E(f1(x451,f1(x452,f1(x453,x454))),f1(x451,f1(x452,f1(x454,x453))))),
% 135.47/135.64 inference(scs_inference,[],[17,12,13,16,2,3,6,5])).
% 135.47/135.64 cnf(46,plain,
% 135.47/135.64 (E(f1(f1(x461,f1(x462,x463)),x464),f1(f1(x461,f1(x463,x462)),x464))),
% 135.47/135.64 inference(scs_inference,[],[17,12,13,16,2,3,6,5,4])).
% 135.47/135.64 cnf(47,plain,
% 135.47/135.64 (~E(f1(a3,a2),f5(f1(f5(f1(a2,f5(x471))),f5(f1(a2,x471)))))),
% 135.47/135.64 inference(scs_inference,[],[16,26,3])).
% 135.47/135.64 cnf(50,plain,
% 135.47/135.64 (E(f1(x501,x502),f5(f1(f5(f1(f1(x502,x501),x503)),f5(f1(f1(x502,x501),f5(x503))))))),
% 135.47/135.64 inference(scs_inference,[],[23,2])).
% 135.47/135.64 cnf(51,plain,
% 135.47/135.64 (~E(f5(f1(f5(f1(a2,f5(x511))),f5(f1(a2,x511)))),f1(a2,a3))),
% 135.47/135.64 inference(scs_inference,[],[16,23,38,2,3])).
% 135.47/135.64 cnf(53,plain,
% 135.47/135.64 (~E(f1(a2,a3),f5(f1(f5(f1(a2,f5(x531))),f5(f1(a2,x531)))))),
% 135.47/135.64 inference(scs_inference,[],[51,2])).
% 135.47/135.64 cnf(54,plain,
% 135.47/135.64 (E(f1(x541,x542),f5(f1(f5(f1(f1(x542,x541),f5(x543))),f5(f1(f1(x542,x541),x543)))))),
% 135.47/135.64 inference(scs_inference,[],[16,50,51,2,3])).
% 135.47/135.64 cnf(56,plain,
% 135.47/135.64 (E(f5(f1(f5(f1(f1(x561,x562),f5(x563))),f5(f1(f1(x561,x562),x563)))),f1(x562,x561))),
% 135.47/135.64 inference(scs_inference,[],[54,2])).
% 135.47/135.64 cnf(57,plain,
% 135.47/135.64 (E(f5(f1(x571,f1(x572,x573))),f5(f1(x572,f1(x573,x571))))),
% 135.47/135.64 inference(scs_inference,[],[16,54,31,2,3])).
% 135.47/135.64 cnf(60,plain,
% 135.47/135.64 (E(f5(f1(f1(x601,x602),x603)),f5(f1(f1(x602,x601),x603)))),
% 135.47/135.64 inference(scs_inference,[],[18,16,54,31,2,3,6])).
% 135.47/135.64 cnf(61,plain,
% 135.47/135.64 (E(f1(f1(x611,f1(x612,x613)),x614),f1(f1(x612,f1(x613,x611)),x614))),
% 135.47/135.64 inference(scs_inference,[],[13,18,16,54,31,2,3,6,4])).
% 135.47/135.64 cnf(62,plain,
% 135.47/135.64 (E(f1(x621,f1(x622,f1(x623,x624))),f1(x621,f1(x623,f1(x624,x622))))),
% 135.47/135.64 inference(scs_inference,[],[13,18,16,54,31,2,3,6,4,5])).
% 135.47/135.64 cnf(66,plain,
% 135.47/135.64 (E(f1(f1(x661,f1(x662,x663)),x664),f1(f1(f1(x661,x662),x663),x664))),
% 135.47/135.64 inference(scs_inference,[],[32,2])).
% 135.47/135.64 cnf(67,plain,
% 135.47/135.64 (E(f1(x671,f1(x672,x673)),f1(f1(x672,x671),x673))),
% 135.47/135.64 inference(scs_inference,[],[18,28,32,2,3])).
% 135.47/135.64 cnf(69,plain,
% 135.47/135.64 (~E(a2,f5(f1(f5(f1(f1(a3,a2),f5(x691))),f5(f1(f1(a3,a2),x691)))))),
% 135.47/135.64 inference(scs_inference,[],[19,56,3])).
% 135.47/135.64 cnf(73,plain,
% 135.47/135.64 (~E(f5(f1(f5(f1(f1(a3,a2),x731)),f5(f1(f1(a3,a2),f5(x731))))),a2)),
% 135.47/135.64 inference(scs_inference,[],[22,20,69,2,3])).
% 135.47/135.64 cnf(75,plain,
% 135.47/135.64 (E(f5(f1(f1(x751,x752),x753)),f5(f1(x752,f1(x753,x751))))),
% 135.47/135.64 inference(scs_inference,[],[22,20,34,69,2,3,6])).
% 135.47/135.64 cnf(76,plain,
% 135.47/135.64 (E(f1(x761,f1(f1(x762,x763),x764)),f1(x761,f1(f1(x763,x762),x764)))),
% 135.47/135.64 inference(scs_inference,[],[22,18,20,34,69,2,3,6,5])).
% 135.47/135.64 cnf(78,plain,
% 135.47/135.64 (E(f5(f1(x781,f1(x782,x783))),f5(f1(x783,f1(x781,x782))))),
% 135.47/135.64 inference(scs_inference,[],[57,2])).
% 135.47/135.64 cnf(79,plain,
% 135.47/135.64 (E(f1(f1(x791,f1(x792,x793)),f1(x794,x795)),f1(f1(f1(x791,x792),x793),f1(x795,x794)))),
% 135.47/135.64 inference(scs_inference,[],[17,57,66,2,3])).
% 135.47/135.64 cnf(83,plain,
% 135.47/135.64 (E(f1(f1(x831,x832),f1(x833,x834)),f1(f1(x833,f1(x832,x831)),x834))),
% 135.47/135.64 inference(scs_inference,[],[18,67,73,2,3])).
% 135.47/135.64 cnf(86,plain,
% 135.47/135.64 (E(f1(f1(x861,f1(x862,x863)),x864),f1(f1(x863,f1(x861,x862)),x864))),
% 135.47/135.64 inference(scs_inference,[],[61,2])).
% 135.47/135.64 cnf(93,plain,
% 135.47/135.64 (E(f5(f1(f1(x931,x932),x933)),f5(f1(x931,f1(x933,x932))))),
% 135.47/135.64 inference(scs_inference,[],[60,75,3])).
% 135.47/135.64 cnf(94,plain,
% 135.47/135.64 (E(f5(f1(f1(x941,x942),x943)),f5(f1(x942,f1(x943,x941))))),
% 135.47/135.64 inference(rename_variables,[],[75])).
% 135.47/135.64 cnf(95,plain,
% 135.47/135.64 (E(f5(f1(x951,f1(x952,x953))),f5(f1(f1(x953,x951),x952)))),
% 135.47/135.64 inference(scs_inference,[],[60,75,94,3,2])).
% 135.47/135.64 cnf(96,plain,
% 135.47/135.64 (E(f5(f1(x961,f1(x962,x963))),f5(f1(f1(x961,x962),x963)))),
% 135.47/135.64 inference(scs_inference,[],[28,6])).
% 135.47/135.64 cnf(101,plain,
% 135.47/135.64 (~E(a2,f5(f1(f5(f1(f1(a2,a3),f5(x1011))),f5(f1(f1(a2,a3),x1011)))))),
% 135.47/135.64 inference(scs_inference,[],[25,56,3])).
% 135.47/135.64 cnf(106,plain,
% 135.47/135.64 (E(f5(f1(f1(x1061,x1062),x1063)),f5(f1(x1061,f1(x1062,x1063))))),
% 135.47/135.64 inference(rename_variables,[],[31])).
% 135.47/135.64 cnf(110,plain,
% 135.47/135.64 (E(f1(x1101,f5(f1(f1(x1102,x1103),x1104))),f1(x1101,f5(f1(x1102,f1(x1103,x1104)))))),
% 135.47/135.64 inference(scs_inference,[],[31,106,78,101,2,3,6,4,5])).
% 135.47/135.64 cnf(112,plain,
% 135.47/135.64 (E(f1(f1(f1(x1121,x1122),x1123),f1(x1124,x1125)),f1(f1(f1(x1121,f1(x1122,x1123)),x1124),x1125))),
% 135.47/135.64 inference(scs_inference,[],[32,28,83,2,3])).
% 135.47/135.64 cnf(115,plain,
% 135.47/135.64 (E(f1(x1151,f1(f1(x1152,x1153),x1154)),f1(f1(x1151,x1152),f1(x1153,x1154)))),
% 135.47/135.64 inference(scs_inference,[],[28,33,3])).
% 135.47/135.64 cnf(117,plain,
% 135.47/135.65 (E(f5(f1(f1(f1(x1171,x1172),x1173),x1174)),f5(f1(f1(x1171,f1(x1172,x1173)),x1174)))),
% 135.47/135.65 inference(scs_inference,[],[32,6])).
% 135.47/135.65 cnf(119,plain,
% 135.47/135.65 (E(f1(f1(f1(f1(x1191,x1192),x1193),x1194),x1195),f1(f1(f1(x1191,f1(x1192,x1193)),x1194),x1195))),
% 135.47/135.65 inference(scs_inference,[],[32,6,5,4])).
% 135.47/135.65 cnf(120,plain,
% 135.47/135.65 (E(f1(f1(x1201,x1202),f1(x1203,x1204)),f1(f1(x1201,f1(x1202,x1203)),x1204))),
% 135.47/135.65 inference(scs_inference,[],[28,32,6,5,4,3])).
% 135.47/135.65 cnf(123,plain,
% 135.47/135.65 (E(f5(f1(f1(f1(x1231,x1232),x1233),x1234)),f5(f1(x1231,f1(x1232,f1(x1234,x1233)))))),
% 135.47/135.65 inference(scs_inference,[],[31,93,3])).
% 135.47/135.65 cnf(126,plain,
% 135.47/135.65 (E(f5(f1(x1261,f1(f1(x1262,x1263),x1264))),f5(f1(x1261,f1(x1262,f1(x1263,x1264)))))),
% 135.47/135.65 inference(scs_inference,[],[33,6])).
% 135.47/135.65 cnf(127,plain,
% 135.47/135.65 (E(f1(f1(x1271,f1(f1(x1272,x1273),x1274)),x1275),f1(f1(x1271,f1(x1272,f1(x1273,x1274))),x1275))),
% 135.47/135.65 inference(scs_inference,[],[33,6,4])).
% 135.47/135.65 cnf(128,plain,
% 135.47/135.65 (E(f1(x1281,f1(x1282,f1(f1(x1283,x1284),x1285))),f1(x1281,f1(x1282,f1(x1283,f1(x1284,x1285)))))),
% 135.47/135.65 inference(scs_inference,[],[33,6,4,5])).
% 135.47/135.65 cnf(129,plain,
% 135.47/135.65 (E(f5(f1(f1(x1291,x1292),x1293)),f5(f1(f1(x1293,x1291),x1292)))),
% 135.47/135.65 inference(scs_inference,[],[31,33,95,6,4,5,3])).
% 135.47/135.65 cnf(138,plain,
% 135.47/135.65 (E(f1(f1(x1381,x1382),f1(f1(x1383,x1384),x1385)),f1(x1382,f1(f1(x1383,f1(x1384,x1385)),x1381)))),
% 135.47/135.65 inference(scs_inference,[],[33,34,62,6,5,4,3])).
% 135.47/135.65 cnf(142,plain,
% 135.47/135.65 (E(f5(f1(f5(f1(a3,a4)),a2)),f5(f1(f1(a2,a3),f5(a4))))),
% 135.47/135.65 inference(scs_inference,[],[36,96,3])).
% 135.47/135.65 cnf(144,plain,
% 135.47/135.65 (E(f5(f1(x1441,f1(f1(x1442,x1443),x1444))),f5(f1(x1441,f1(f1(x1443,x1442),x1444))))),
% 135.47/135.65 inference(scs_inference,[],[76,6])).
% 135.47/135.65 cnf(153,plain,
% 135.47/135.65 (E(f5(f1(x1531,f1(x1532,f1(x1533,x1534)))),f5(f1(x1531,f1(x1532,f1(x1534,x1533)))))),
% 135.47/135.65 inference(scs_inference,[],[45,6])).
% 135.47/135.65 cnf(160,plain,
% 135.47/135.65 (E(f1(f1(f1(x1601,x1602),f1(x1603,x1604)),f1(x1605,x1606)),f1(f1(f1(x1601,f1(x1602,f1(x1604,x1603))),x1605),x1606))),
% 135.47/135.65 inference(scs_inference,[],[46,112,3])).
% 135.47/135.65 cnf(169,plain,
% 135.47/135.65 (E(f1(x1691,f5(f1(x1692,f1(x1693,x1694)))),f1(x1691,f5(f1(f1(x1692,x1693),x1694))))),
% 135.47/135.65 inference(scs_inference,[],[110,2])).
% 135.47/135.65 cnf(179,plain,
% 135.47/135.65 (E(f5(f1(f1(x1791,f1(x1792,x1793)),x1794)),f5(f1(f1(f1(x1791,x1792),x1793),x1794)))),
% 135.47/135.65 inference(scs_inference,[],[117,2])).
% 135.47/135.65 cnf(188,plain,
% 135.47/135.65 (E(f5(f1(x1881,f1(x1882,f1(x1883,x1884)))),f5(f1(x1881,f1(f1(x1882,x1883),x1884))))),
% 135.47/135.65 inference(scs_inference,[],[126,2])).
% 135.47/135.65 cnf(197,plain,
% 135.47/135.65 (E(f5(f1(f1(x1971,x1972),f1(x1973,x1974))),f5(f1(x1973,f1(f1(x1974,x1971),x1972))))),
% 135.47/135.65 inference(scs_inference,[],[57,188,3])).
% 135.47/135.65 cnf(224,plain,
% 135.47/135.65 (E(f1(x2241,f1(f1(x2242,f1(x2243,x2244)),x2245)),f1(f1(x2245,x2241),f1(f1(x2242,x2243),x2244)))),
% 135.47/135.65 inference(scs_inference,[],[138,2])).
% 135.47/135.65 cnf(225,plain,
% 135.47/135.65 (E(f1(f1(x2251,f1(x2252,x2253)),f1(x2254,f1(x2255,x2256))),f1(f1(f1(x2251,x2252),x2253),f1(x2255,f1(x2256,x2254))))),
% 135.47/135.65 inference(scs_inference,[],[62,66,3])).
% 135.47/135.65 cnf(229,plain,
% 135.47/135.65 (E(f1(x2291,f1(x2292,f1(x2293,x2294))),f1(x2291,f1(f1(x2293,x2292),x2294)))),
% 135.47/135.65 inference(scs_inference,[],[67,6,5])).
% 135.47/135.65 cnf(230,plain,
% 135.47/135.65 (E(f1(f1(x2301,f1(x2302,x2303)),x2304),f1(f1(f1(x2302,x2301),x2303),x2304))),
% 135.47/135.65 inference(scs_inference,[],[67,6,5,4])).
% 135.47/135.65 cnf(231,plain,
% 135.47/135.65 (E(f1(x2311,f1(x2312,f1(x2313,f1(x2314,x2315)))),f1(f1(x2312,x2311),f1(x2314,f1(x2315,x2313))))),
% 135.47/135.65 inference(scs_inference,[],[62,67,6,5,4,3])).
% 135.47/135.65 cnf(253,plain,
% 135.47/135.65 (E(f1(f1(f1(x2531,f1(x2532,f1(x2533,x2534))),x2535),x2536),f1(f1(f1(x2531,x2532),f1(x2534,x2533)),f1(x2535,x2536)))),
% 135.47/135.65 inference(scs_inference,[],[160,2])).
% 135.47/135.65 cnf(260,plain,
% 135.47/135.65 (E(f5(f1(f1(x2601,x2602),f1(x2603,x2604))),f5(f1(x2602,f1(f1(x2604,x2603),x2601))))),
% 135.47/135.65 inference(scs_inference,[],[75,144,6,4,5,3])).
% 135.47/135.65 cnf(278,plain,
% 135.47/135.65 (E(f1(x2781,f5(f1(x2782,f1(x2783,x2784)))),f1(x2781,f5(f1(x2784,f1(x2782,x2783)))))),
% 135.47/135.65 inference(scs_inference,[],[79,78,6,4,5])).
% 135.47/135.65 cnf(289,plain,
% 135.47/135.65 (E(f1(f1(x2891,x2892),f1(x2893,x2894)),f1(f1(x2891,f1(x2893,x2892)),x2894))),
% 135.47/135.65 inference(scs_inference,[],[78,83,86,6,4,5,3])).
% 135.47/135.65 cnf(311,plain,
% 135.47/135.65 (E(f5(f1(x3111,f1(x3112,x3113))),f5(f1(f1(x3111,x3113),x3112)))),
% 135.47/135.65 inference(scs_inference,[],[93,2])).
% 135.47/135.65 cnf(312,plain,
% 135.47/135.65 (E(f5(f1(x3121,f1(x3122,x3123))),f5(f1(x3123,f1(x3122,x3121))))),
% 135.47/135.65 inference(scs_inference,[],[95,93,3])).
% 135.47/135.65 cnf(320,plain,
% 135.47/135.65 (E(f5(f1(x3201,f1(f1(x3202,x3203),x3204))),f5(f1(f1(x3203,x3204),f1(x3201,x3202))))),
% 135.47/135.65 inference(scs_inference,[],[197,2])).
% 135.47/135.65 cnf(321,plain,
% 135.47/135.65 (E(f5(f1(f1(x3211,x3212),x3213)),f5(f1(f1(x3211,x3213),x3212)))),
% 135.47/135.65 inference(scs_inference,[],[96,93,3])).
% 135.47/135.65 cnf(349,plain,
% 135.47/135.65 (E(f1(f1(f1(x3491,x3492),x3493),f1(x3494,f1(x3495,x3496))),f1(f1(x3491,f1(x3492,x3493)),f1(x3496,f1(x3494,x3495))))),
% 135.47/135.65 inference(scs_inference,[],[225,2])).
% 135.47/135.65 cnf(354,plain,
% 135.47/135.65 (E(f1(f1(x3541,f1(x3542,f1(x3543,x3544))),x3545),f1(f1(x3541,f1(f1(x3543,x3542),x3544)),x3545))),
% 135.47/135.65 inference(scs_inference,[],[229,6,4])).
% 135.47/135.65 cnf(359,plain,
% 135.47/135.65 (E(f1(f1(f1(x3591,x3592),x3593),x3594),f1(f1(x3592,f1(x3591,x3593)),x3594))),
% 135.47/135.65 inference(scs_inference,[],[230,2])).
% 135.47/135.65 cnf(399,plain,
% 135.47/135.65 (E(f1(f1(f1(f1(x3991,x3992),x3993),x3994),f1(f1(x3995,x3996),x3997)),f1(f1(f1(f1(x3991,f1(x3992,x3993)),x3994),x3995),f1(x3996,x3997)))),
% 135.47/135.65 inference(scs_inference,[],[115,119,3])).
% 135.47/135.65 cnf(413,plain,
% 135.47/135.65 (E(f5(f1(f1(x4131,x4132),f1(x4133,x4134))),f5(f1(f1(x4131,f1(x4133,x4132)),x4134)))),
% 135.47/135.65 inference(scs_inference,[],[289,5,4,6])).
% 135.47/135.65 cnf(414,plain,
% 135.47/135.65 (E(f5(f1(f1(f1(x4141,x4142),x4143),x4144)),f5(f1(x4141,f1(x4142,f1(x4143,x4144)))))),
% 135.47/135.65 inference(scs_inference,[],[123,153,289,5,4,6,3])).
% 135.47/135.65 cnf(416,plain,
% 135.47/135.65 (E(f5(f1(x4161,f1(x4162,f1(x4163,x4164)))),f5(f1(f1(f1(x4161,x4162),x4164),x4163)))),
% 135.47/135.65 inference(scs_inference,[],[123,2])).
% 135.47/135.65 cnf(417,plain,
% 135.47/135.65 (E(f1(f1(x4171,f1(x4172,x4173)),f1(x4174,x4175)),f1(f1(x4171,f1(x4172,f1(x4173,x4174))),x4175))),
% 135.47/135.65 inference(scs_inference,[],[120,127,3])).
% 135.47/135.65 cnf(422,plain,
% 135.47/135.65 (E(f1(x4221,f5(f1(x4222,f1(x4223,x4224)))),f1(x4221,f5(f1(f1(x4222,x4224),x4223))))),
% 135.47/135.65 inference(scs_inference,[],[311,312,4,6,5])).
% 135.47/135.65 cnf(426,plain,
% 135.47/135.65 (E(f1(x4261,f1(f1(x4262,f1(x4263,x4264)),f1(f1(x4265,x4266),x4267))),f1(f1(f1(x4265,f1(x4266,x4267)),x4261),f1(f1(x4262,x4263),x4264)))),
% 135.47/135.65 inference(scs_inference,[],[128,224,3])).
% 135.47/135.65 cnf(430,plain,
% 135.47/135.65 (E(f1(x4301,f5(f1(f1(x4302,x4303),x4304))),f1(x4301,f5(f1(f1(x4304,x4302),x4303))))),
% 135.47/135.65 inference(scs_inference,[],[129,321,6,5])).
% 135.47/135.65 cnf(431,plain,
% 135.47/135.65 (E(f1(f5(f1(f1(x4311,x4312),x4313)),x4314),f1(f5(f1(f1(x4313,x4311),x4312)),x4314))),
% 135.47/135.65 inference(scs_inference,[],[129,321,6,5,4])).
% 135.47/135.65 cnf(432,plain,
% 135.47/135.65 (E(f5(f1(f1(x4321,f1(x4322,x4323)),x4324)),f5(f1(x4321,f1(x4322,f1(x4324,x4323)))))),
% 135.47/135.65 inference(scs_inference,[],[123,129,179,321,6,5,4,3])).
% 135.47/135.65 cnf(434,plain,
% 135.47/135.65 (E(f5(f1(f1(x4341,x4342),x4343)),f5(f1(f1(x4342,x4343),x4341)))),
% 135.47/135.65 inference(scs_inference,[],[129,2])).
% 135.47/135.65 cnf(478,plain,
% 135.47/135.65 (E(f1(x4781,f1(f1(f1(x4782,x4783),x4784),x4785)),f1(x4781,f1(f1(x4783,f1(x4782,x4784)),x4785)))),
% 135.47/135.65 inference(scs_inference,[],[359,4,6,5])).
% 135.47/135.65 cnf(491,plain,
% 135.47/135.65 (E(f5(f1(x4911,f1(f1(x4912,x4913),x4914))),f5(f1(f1(x4914,x4911),f1(x4913,x4912))))),
% 135.47/135.65 inference(scs_inference,[],[260,2])).
% 135.47/135.65 cnf(557,plain,
% 135.47/135.65 (E(f1(x5571,f5(f1(x5572,f1(x5573,x5574)))),f1(x5571,f5(f1(x5573,f1(x5574,x5572)))))),
% 135.47/135.65 inference(scs_inference,[],[278,2])).
% 135.47/135.65 cnf(676,plain,
% 135.47/135.65 (E(f1(x6761,f5(f1(x6762,x6763))),f1(x6761,f5(f1(x6763,x6762))))),
% 135.47/135.65 inference(scs_inference,[],[434,16,4,5])).
% 135.47/135.65 cnf(679,plain,
% 135.47/135.65 (E(f5(f1(x6791,f5(f1(x6792,x6793)))),f5(f1(x6791,f5(f1(x6793,x6792)))))),
% 135.47/135.65 inference(scs_inference,[],[676,6])).
% 135.47/135.65 cnf(681,plain,
% 135.47/135.65 (~E(f1(a3,a2),f5(f1(f5(f1(a2,f5(x6811))),f5(f1(x6811,a2)))))),
% 135.47/135.65 inference(scs_inference,[],[679,47,3])).
% 135.47/135.65 cnf(704,plain,
% 135.47/135.65 (~E(f1(a2,a3),f5(f1(f5(f1(a2,f5(x7041))),f5(f1(x7041,a2)))))),
% 135.47/135.65 inference(scs_inference,[],[53,679,3])).
% 135.47/135.65 cnf(709,plain,
% 135.47/135.65 (E(f5(f1(f5(f1(x7091,x7092)),x7093)),f5(f1(f5(f1(x7092,x7091)),x7093)))),
% 135.47/135.65 inference(scs_inference,[],[53,679,16,3,4,5,6])).
% 135.47/135.65 cnf(739,plain,
% 135.47/135.65 (~E(f1(a3,a2),f5(f1(f5(f1(f5(x7391),a2)),f5(f1(x7391,a2)))))),
% 135.47/135.65 inference(scs_inference,[],[681,709,3])).
% 135.47/135.65 cnf(750,plain,
% 135.47/135.65 (~E(f1(a3,a2),f5(f1(f5(f1(f5(x7501),a2)),f5(f1(a2,x7501)))))),
% 135.47/135.65 inference(scs_inference,[],[739,679,3])).
% 135.47/135.65 cnf(758,plain,
% 135.47/135.65 (E(f1(f1(x7581,f1(x7582,x7583)),f1(f1(x7584,x7585),f1(x7586,x7587))),f1(f1(x7586,f1(f1(x7581,x7582),x7583)),f1(x7584,f1(x7585,x7587))))),
% 135.47/135.65 inference(scs_inference,[],[225,231,399,2,3])).
% 135.47/135.65 cnf(891,plain,
% 135.47/135.65 (E(f1(f1(x8911,f1(x8912,x8913)),x8914),f1(f1(x8911,x8913),f1(x8912,x8914)))),
% 135.47/135.65 inference(scs_inference,[],[289,2])).
% 135.47/135.65 cnf(962,plain,
% 135.47/135.65 (E(f5(f1(f1(x9621,x9622),f1(f1(x9623,x9624),x9625))),f5(f1(f1(x9623,f1(x9624,x9625)),f1(x9622,x9621))))),
% 135.47/135.65 inference(scs_inference,[],[320,491,3])).
% 135.47/135.65 cnf(1020,plain,
% 135.47/135.65 (E(f1(f1(f1(x10201,x10202),f1(x10203,x10204)),f1(x10205,f1(x10206,x10207))),f1(f1(x10201,f1(f1(x10203,x10202),x10204)),f1(x10207,f1(x10205,x10206))))),
% 135.47/135.65 inference(scs_inference,[],[349,354,3])).
% 135.47/135.65 cnf(1166,plain,
% 135.47/135.65 (~E(f5(f1(f5(f1(f1(a3,a2),f5(x11661))),f5(f1(f1(a3,a2),x11661)))),f5(f1(f5(f1(a2,f5(x11662))),f5(f1(x11662,a2)))))),
% 135.47/135.65 inference(scs_inference,[],[413,54,704,6,5,3])).
% 135.47/135.65 cnf(1170,plain,
% 135.47/135.65 (~E(f1(f5(f1(f1(a3,a2),f5(x11701))),f5(f1(f1(a3,a2),x11701))),f1(f5(f1(a2,f5(x11702))),f5(f1(x11702,a2))))),
% 135.47/135.65 inference(scs_inference,[],[1166,6])).
% 135.47/135.65 cnf(1171,plain,
% 135.47/135.65 (~E(f5(f1(f1(a3,a2),f5(a2))),f5(f1(a2,f5(f1(a3,a2)))))),
% 135.47/135.65 inference(scs_inference,[],[1166,6,4])).
% 135.47/135.65 cnf(1181,plain,
% 135.47/135.65 (~E(f1(f5(f1(a2,f5(x11811))),f5(f1(x11811,a2))),f1(f5(f1(f1(a3,a2),f5(x11812))),f5(f1(f1(a3,a2),x11812))))),
% 135.47/135.65 inference(scs_inference,[],[414,417,478,1170,6,4,3,2])).
% 135.47/135.65 cnf(1182,plain,
% 135.47/135.65 (~E(f1(f1(a3,a2),f5(a2)),f1(a2,f5(f1(a3,a2))))),
% 135.47/135.65 inference(scs_inference,[],[1171,6])).
% 135.47/135.65 cnf(1184,plain,
% 135.47/135.65 (~E(f1(f5(f1(a2,f5(x11841))),f5(f1(x11841,a2))),f1(f5(f1(f1(a3,a2),f5(x11842))),f5(f1(f1(a3,a2),x11842))))),
% 135.47/135.65 inference(rename_variables,[],[1181])).
% 135.47/135.65 cnf(1185,plain,
% 135.47/135.65 (~E(f1(f5(f1(a2,f5(f1(x11851,x11852)))),f5(f1(f1(a2,x11851),x11852))),f1(f5(f1(f1(a3,a2),f5(x11853))),f5(f1(f1(a3,a2),x11853))))),
% 135.47/135.65 inference(scs_inference,[],[430,1181,1184,1171,6,4,3])).
% 135.47/135.65 cnf(1194,plain,
% 135.47/135.65 (~E(f1(f5(f1(f1(a3,a2),f5(x11941))),f5(f1(f1(a3,a2),x11941))),f1(f5(f1(a2,f5(f1(x11942,x11943)))),f5(f1(f1(a2,x11942),x11943))))),
% 135.47/135.65 inference(scs_inference,[],[416,422,417,1185,6,4,3,2])).
% 135.47/135.65 cnf(1209,plain,
% 135.47/135.65 (~E(f1(f5(f1(f1(a3,a2),f5(x12091))),f5(f1(f1(a3,a2),x12091))),f1(f5(f1(a2,f5(f1(x12092,x12093)))),f5(f1(a2,f1(x12093,x12092)))))),
% 135.47/135.65 inference(scs_inference,[],[422,1194,3])).
% 135.47/135.65 cnf(1215,plain,
% 135.47/135.65 (~E(f1(f5(f1(a2,f5(f1(x12151,x12152)))),f5(f1(a2,f1(x12152,x12151)))),f1(f5(f1(f1(a3,a2),f5(x12153))),f5(f1(f1(a3,a2),x12153))))),
% 135.47/135.65 inference(scs_inference,[],[1209,1182,54,3,2])).
% 135.47/135.65 cnf(1221,plain,
% 135.47/135.65 (~E(f1(f5(f1(a2,f5(f1(x12211,x12212)))),f5(f1(a2,f1(x12212,x12211)))),f1(f5(f1(f1(a3,a2),f5(x12213))),f5(f1(a3,f1(x12213,a2)))))),
% 135.47/135.65 inference(scs_inference,[],[422,1215,3])).
% 135.47/135.65 cnf(1242,plain,
% 135.47/135.65 (~E(f1(f5(f1(f1(a2,a3),x12421)),f5(f1(f1(a2,a3),f5(x12421)))),f1(f5(f1(f5(x12422),a2)),f5(f1(a2,x12422))))),
% 135.47/135.65 inference(scs_inference,[],[750,1221,50,3,2,6])).
% 135.47/135.65 cnf(1256,plain,
% 135.47/135.65 (~E(f1(f5(f1(f1(x12561,a2),a3)),f5(f1(f1(a2,a3),f5(x12561)))),f1(f5(f1(f5(x12562),a2)),f5(f1(a2,x12562))))),
% 135.47/135.65 inference(scs_inference,[],[426,431,1242,6,3])).
% 135.47/135.65 cnf(1263,plain,
% 135.47/135.65 (~E(f1(f5(f1(f5(x12631),a2)),f5(f1(a2,x12631))),f1(f5(f1(f1(x12632,a2),a3)),f5(f1(f1(a2,a3),f5(x12632)))))),
% 135.47/135.65 inference(scs_inference,[],[432,434,1256,3,2])).
% 135.47/135.65 cnf(1320,plain,
% 135.47/135.65 (~E(f1(f5(f1(f1(x13201,a2),a3)),f5(f1(f1(a2,a3),f5(x13201)))),f1(f5(f1(a2,x13202)),f5(f1(f5(x13202),a2))))),
% 135.47/135.65 inference(scs_inference,[],[7,1263,3,2])).
% 135.47/135.65 cnf(1502,plain,
% 135.47/135.65 (E(f1(x15021,f1(f1(x15022,f1(x15023,f1(x15024,x15025))),x15026)),f1(f1(f1(x15022,x15023),f1(x15025,x15024)),f1(x15026,x15021)))),
% 135.47/135.65 inference(scs_inference,[],[7,253,3])).
% 135.47/135.65 cnf(1518,plain,
% 135.47/135.65 (~E(f1(f5(f1(f1(a2,a3),f5(x15181))),f5(f1(f1(x15181,a2),a3))),f1(f5(f1(a2,x15182)),f5(f1(f5(x15182),a2))))),
% 135.47/135.65 inference(scs_inference,[],[7,1502,1320,2,3])).
% 135.47/135.65 cnf(1520,plain,
% 135.47/135.65 (~E(f1(f5(f1(a2,x15201)),f5(f1(f5(x15201),a2))),f1(f5(f1(f1(a2,a3),f5(x15202))),f5(f1(f1(x15202,a2),a3))))),
% 135.47/135.65 inference(scs_inference,[],[1518,2])).
% 135.47/135.65 cnf(1574,plain,
% 135.47/135.65 (~E(f1(f5(f1(f5(x15741),a2)),f5(f1(a2,x15741))),f1(f5(f1(f1(a2,a3),f5(x15742))),f5(f1(f1(x15742,a2),a3))))),
% 135.47/135.65 inference(scs_inference,[],[7,758,1520,2,3])).
% 135.47/135.65 cnf(1612,plain,
% 135.47/135.65 (~E(f1(f5(f1(f1(a2,a3),f5(x16121))),f5(f1(f1(x16121,a2),a3))),f1(f5(f1(f5(x16122),a2)),f5(f1(a2,x16122))))),
% 135.47/135.65 inference(scs_inference,[],[1574,2])).
% 135.47/135.65 cnf(1933,plain,
% 135.47/135.65 (E(f1(x19331,f1(x19332,f1(x19333,x19334))),f1(f1(x19332,x19334),f1(x19333,x19331)))),
% 135.47/135.65 inference(scs_inference,[],[7,891,962,2,3])).
% 135.47/135.65 cnf(1942,plain,
% 135.47/135.65 (E(f1(f1(x19421,x19422),f1(x19423,x19424)),f1(x19424,f1(x19421,f1(x19423,x19422))))),
% 135.47/135.65 inference(scs_inference,[],[1933,2])).
% 135.47/135.65 cnf(2059,plain,
% 135.47/135.65 (E(f1(f1(x20591,f1(f1(x20592,x20593),x20594)),f1(x20595,f1(x20596,x20597))),f1(f1(f1(x20591,x20593),f1(x20592,x20594)),f1(x20596,f1(x20597,x20595))))),
% 135.47/135.65 inference(scs_inference,[],[1020,2])).
% 135.47/135.65 cnf(2242,plain,
% 135.47/135.65 (~E(f1(f5(f1(f5(f1(x22421,x22422)),a2)),f5(f1(x22422,f1(a2,x22421)))),f1(f5(f1(f1(a2,a3),f5(x22423))),f5(f1(f1(x22423,a2),a3))))),
% 135.47/135.65 inference(scs_inference,[],[1942,557,1612,3,4,6,2])).
% 135.47/135.65 cnf(2255,plain,
% 135.47/135.65 ($false),
% 135.47/135.65 inference(scs_inference,[],[2059,169,2242,142,3,5,4]),
% 135.47/135.65 ['proof']).
% 135.47/135.65 % SZS output end Proof
% 135.47/135.65 % Total time :134.810000s
%------------------------------------------------------------------------------