TSTP Solution File: GRP189-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP189-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n031.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 00:11:30 EDT 2023
% Result : Unsatisfiable 181.06s 181.13s
% Output : CNFRefutation 181.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP189-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n031.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 01:58:25 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 181.06/181.11 %-------------------------------------------
% 181.06/181.11 % File :CSE---1.6
% 181.06/181.11 % Problem :theBenchmark
% 181.06/181.11 % Transform :cnf
% 181.06/181.11 % Format :tptp:raw
% 181.06/181.11 % Command :java -jar mcs_scs.jar %d %s
% 181.06/181.11
% 181.06/181.11 % Result :Theorem 180.500000s
% 181.06/181.11 % Output :CNFRefutation 180.500000s
% 181.06/181.11 %-------------------------------------------
% 181.06/181.13 %--------------------------------------------------------------------------
% 181.06/181.13 % File : GRP189-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 181.06/181.13 % Domain : Group Theory (Lattice Ordered)
% 181.06/181.13 % Problem : Consequence of lattice theory
% 181.06/181.13 % Version : [Fuc94] (equality) axioms.
% 181.06/181.13 % English :
% 181.06/181.13
% 181.06/181.13 % Refs : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri
% 181.06/181.13 % : [Sch95] Schulz (1995), Explanation Based Learning for Distribu
% 181.06/181.13 % Source : [TPTP]
% 181.06/181.13 % Names :
% 181.06/181.13
% 181.06/181.13 % Status : Unsatisfiable
% 181.06/181.13 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.0.0
% 181.06/181.13 % Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 1 RR)
% 181.06/181.13 % Number of literals : 16 ( 16 equ; 1 neg)
% 181.06/181.13 % Maximal clause size : 1 ( 1 avg)
% 181.06/181.13 % Maximal term depth : 3 ( 2 avg)
% 181.06/181.13 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 181.06/181.13 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 181.06/181.13 % Number of variables : 33 ( 2 sgn)
% 181.06/181.13 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 181.06/181.13
% 181.06/181.13 % Comments : ORDERING LPO greatest_lower_bound > least_upper_bound >
% 181.06/181.13 % inverse > product > identity > a > b
% 181.06/181.13 % : This is a standardized version of the problem that appears in
% 181.06/181.13 % [Sch95].
% 181.06/181.13 % Bugfixes : v1.2.1 - Duplicate axioms in GRP004-2.ax removed.
% 181.06/181.13 %--------------------------------------------------------------------------
% 181.06/181.13 %----Include equality group theory axioms
% 181.06/181.13 include('Axioms/GRP004-0.ax').
% 181.06/181.13 %----Include Lattice ordered group (equality) axioms
% 181.06/181.13 include('Axioms/GRP004-2.ax').
% 181.06/181.13 %--------------------------------------------------------------------------
% 181.06/181.13 cnf(prove_p38b,negated_conjecture,
% 181.06/181.13 greatest_lower_bound(b,least_upper_bound(a,b)) != b ).
% 181.06/181.13
% 181.06/181.13 %--------------------------------------------------------------------------
% 181.06/181.13 %-------------------------------------------
% 181.06/181.13 % Proof found
% 181.06/181.13 % SZS status Theorem for theBenchmark
% 181.06/181.13 % SZS output start Proof
% 181.15/181.14 %ClaNum:26(EqnAxiom:10)
% 181.15/181.14 %VarNum:72(SingletonVarNum:33)
% 181.15/181.14 %MaxLitNum:1
% 181.15/181.14 %MaxfuncDepth:2
% 181.15/181.14 %SharedTerms:6
% 181.15/181.14 %goalClause: 26
% 181.15/181.14 %singleGoalClaCount:1
% 181.15/181.14 [26]~E(f2(a3,f6(a4,a3)),a3)
% 181.15/181.14 [11]E(f5(a1,x111),x111)
% 181.15/181.14 [12]E(f2(x121,x121),x121)
% 181.15/181.14 [13]E(f6(x131,x131),x131)
% 181.15/181.14 [14]E(f5(f7(x141),x141),a1)
% 181.15/181.14 [15]E(f2(x151,x152),f2(x152,x151))
% 181.15/181.14 [16]E(f6(x161,x162),f6(x162,x161))
% 181.15/181.14 [17]E(f2(x171,f6(x171,x172)),x171)
% 181.15/181.14 [18]E(f6(x181,f2(x181,x182)),x181)
% 181.15/181.14 [19]E(f2(f2(x191,x192),x193),f2(x191,f2(x192,x193)))
% 181.15/181.14 [20]E(f6(f6(x201,x202),x203),f6(x201,f6(x202,x203)))
% 181.15/181.14 [21]E(f5(f5(x211,x212),x213),f5(x211,f5(x212,x213)))
% 181.15/181.14 [22]E(f2(f5(x221,x222),f5(x221,x223)),f5(x221,f2(x222,x223)))
% 181.15/181.14 [23]E(f6(f5(x231,x232),f5(x231,x233)),f5(x231,f6(x232,x233)))
% 181.15/181.14 [24]E(f2(f5(x241,x242),f5(x243,x242)),f5(f2(x241,x243),x242))
% 181.15/181.14 [25]E(f6(f5(x251,x252),f5(x253,x252)),f5(f6(x251,x253),x252))
% 181.15/181.14 %EqnAxiom
% 181.15/181.14 [1]E(x11,x11)
% 181.15/181.14 [2]E(x22,x21)+~E(x21,x22)
% 181.15/181.14 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 181.15/181.14 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 181.15/181.14 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 181.15/181.14 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63))
% 181.15/181.14 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72))
% 181.15/181.14 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 181.15/181.14 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 181.15/181.14 [10]~E(x101,x102)+E(f7(x101),f7(x102))
% 181.15/181.14
% 181.15/181.14 %-------------------------------------------
% 181.15/181.16 cnf(27,plain,
% 181.15/181.16 (E(x271,f2(x271,x271))),
% 181.15/181.16 inference(scs_inference,[],[12,2])).
% 181.15/181.16 cnf(28,plain,
% 181.15/181.16 (~E(f2(a3,f6(a4,a3)),f2(a3,a3))),
% 181.15/181.16 inference(scs_inference,[],[26,12,2,3])).
% 181.15/181.16 cnf(29,plain,
% 181.15/181.16 (E(f2(x291,x291),x291)),
% 181.15/181.16 inference(rename_variables,[],[12])).
% 181.15/181.16 cnf(30,plain,
% 181.15/181.16 (E(f7(f2(x301,x301)),f7(x301))),
% 181.15/181.16 inference(scs_inference,[],[26,12,29,2,3,10])).
% 181.15/181.16 cnf(31,plain,
% 181.15/181.16 (E(f6(x311,f2(x312,x312)),f6(x311,x312))),
% 181.15/181.16 inference(scs_inference,[],[26,12,29,2,3,10,9])).
% 181.15/181.16 cnf(32,plain,
% 181.15/181.16 (E(f6(f2(x321,x321),x322),f6(x321,x322))),
% 181.15/181.16 inference(scs_inference,[],[26,12,29,2,3,10,9,8])).
% 181.15/181.16 cnf(33,plain,
% 181.15/181.16 (E(f2(x331,f2(x332,x332)),f2(x331,x332))),
% 181.15/181.16 inference(scs_inference,[],[26,12,29,2,3,10,9,8,7])).
% 181.15/181.16 cnf(34,plain,
% 181.15/181.16 (E(f2(f2(x341,x341),x342),f2(x341,x342))),
% 181.15/181.16 inference(scs_inference,[],[26,12,29,2,3,10,9,8,7,6])).
% 181.15/181.16 cnf(35,plain,
% 181.15/181.16 (E(f5(x351,f2(x352,x352)),f5(x351,x352))),
% 181.15/181.16 inference(scs_inference,[],[26,12,29,2,3,10,9,8,7,6,5])).
% 181.15/181.16 cnf(36,plain,
% 181.15/181.16 (E(f5(f2(x361,x361),x362),f5(x361,x362))),
% 181.15/181.16 inference(scs_inference,[],[26,12,29,2,3,10,9,8,7,6,5,4])).
% 181.15/181.16 cnf(37,plain,
% 181.15/181.16 (~E(a3,f2(a3,f6(a4,a3)))),
% 181.15/181.16 inference(scs_inference,[],[26,2])).
% 181.15/181.16 cnf(40,plain,
% 181.15/181.16 (~E(f6(a4,a3),a3)),
% 181.15/181.16 inference(scs_inference,[],[26,15,28,2,3,7])).
% 181.15/181.16 cnf(41,plain,
% 181.15/181.16 (E(x411,f5(a1,x411))),
% 181.15/181.16 inference(scs_inference,[],[11,2])).
% 181.15/181.16 cnf(42,plain,
% 181.15/181.16 (E(f5(a1,x421),f2(x421,x421))),
% 181.15/181.16 inference(scs_inference,[],[11,27,2,3])).
% 181.15/181.16 cnf(43,plain,
% 181.15/181.16 (E(f5(a1,x431),x431)),
% 181.15/181.16 inference(rename_variables,[],[11])).
% 181.15/181.16 cnf(44,plain,
% 181.15/181.16 (E(f2(x441,f5(a1,x442)),f2(x441,x442))),
% 181.15/181.16 inference(scs_inference,[],[11,43,27,2,3,7])).
% 181.15/181.16 cnf(45,plain,
% 181.15/181.16 (~E(a3,f6(a4,a3))),
% 181.15/181.16 inference(scs_inference,[],[40,2])).
% 181.15/181.16 cnf(46,plain,
% 181.15/181.16 (~E(f6(a4,a3),f5(a1,a3))),
% 181.15/181.16 inference(scs_inference,[],[11,40,2,3])).
% 181.15/181.16 cnf(48,plain,
% 181.15/181.16 (E(x481,f6(x481,x481))),
% 181.15/181.16 inference(scs_inference,[],[13,2])).
% 181.15/181.16 cnf(49,plain,
% 181.15/181.16 (~E(f6(a3,a4),f5(a1,a3))),
% 181.15/181.16 inference(scs_inference,[],[13,16,46,2,3])).
% 181.15/181.16 cnf(51,plain,
% 181.15/181.16 (E(f7(f6(x511,x511)),f7(x511))),
% 181.15/181.16 inference(scs_inference,[],[13,16,46,2,3,10])).
% 181.15/181.16 cnf(52,plain,
% 181.15/181.16 (E(f6(x521,f6(x522,x522)),f6(x521,x522))),
% 181.15/181.16 inference(scs_inference,[],[13,16,46,2,3,10,9])).
% 181.15/181.16 cnf(53,plain,
% 181.15/181.16 (E(f5(x531,f6(x532,x532)),f5(x531,x532))),
% 181.15/181.16 inference(scs_inference,[],[13,16,46,2,3,10,9,5])).
% 181.15/181.16 cnf(54,plain,
% 181.15/181.16 (E(f5(f6(x541,x541),x542),f5(x541,x542))),
% 181.15/181.16 inference(scs_inference,[],[13,16,46,2,3,10,9,5,4])).
% 181.15/181.16 cnf(55,plain,
% 181.15/181.16 (E(f6(f6(x551,x551),x552),f6(x551,x552))),
% 181.15/181.16 inference(scs_inference,[],[13,16,46,2,3,10,9,5,4,8])).
% 181.15/181.16 cnf(56,plain,
% 181.15/181.16 (E(f2(f6(x561,x561),x562),f2(x561,x562))),
% 181.15/181.16 inference(scs_inference,[],[13,16,46,2,3,10,9,5,4,8,6])).
% 181.15/181.16 cnf(59,plain,
% 181.15/181.16 (~E(f2(a3,a3),f2(a3,f6(a4,a3)))),
% 181.15/181.16 inference(scs_inference,[],[12,17,28,3,2])).
% 181.15/181.16 cnf(61,plain,
% 181.15/181.16 (E(f6(x611,x611),x611)),
% 181.15/181.16 inference(rename_variables,[],[13])).
% 181.15/181.16 cnf(63,plain,
% 181.15/181.16 (E(f2(x631,f6(x632,x632)),f2(x631,x632))),
% 181.15/181.16 inference(scs_inference,[],[13,61,30,28,3,2,7])).
% 181.15/181.16 cnf(64,plain,
% 181.15/181.16 (~E(f2(a3,a3),f6(a4,a3))),
% 181.15/181.16 inference(scs_inference,[],[27,45,3])).
% 181.15/181.16 cnf(69,plain,
% 181.15/181.16 (E(a1,f5(f7(x691),x691))),
% 181.15/181.16 inference(scs_inference,[],[14,27,3,2])).
% 181.15/181.16 cnf(74,plain,
% 181.15/181.16 (E(f5(f5(f7(x741),x741),x742),f5(a1,x742))),
% 181.15/181.16 inference(scs_inference,[],[14,27,3,2,10,9,6,5,4])).
% 181.15/181.16 cnf(76,plain,
% 181.15/181.16 (~E(f2(a3,a3),f6(a4,f2(a3,a3)))),
% 181.15/181.16 inference(scs_inference,[],[31,64,3])).
% 181.15/181.16 cnf(78,plain,
% 181.15/181.16 (~E(f5(a1,a3),f6(a3,a4))),
% 181.15/181.16 inference(scs_inference,[],[31,49,64,3,2])).
% 181.15/181.16 cnf(79,plain,
% 181.15/181.16 (~E(f2(f6(a4,a3),a3),f2(a3,a3))),
% 181.15/181.16 inference(scs_inference,[],[15,28,3])).
% 181.15/181.16 cnf(81,plain,
% 181.15/181.16 (E(f6(x811,x812),f6(f2(x811,x811),x812))),
% 181.15/181.16 inference(scs_inference,[],[15,32,28,3,2])).
% 181.15/181.16 cnf(85,plain,
% 181.15/181.16 (~E(f2(a3,a3),f2(f6(a4,a3),a3))),
% 181.15/181.16 inference(scs_inference,[],[15,18,79,3,2])).
% 181.15/181.16 cnf(87,plain,
% 181.15/181.16 (E(f6(x871,x872),f6(x872,x871))),
% 181.15/181.16 inference(rename_variables,[],[16])).
% 181.15/181.16 cnf(88,plain,
% 181.15/181.16 (E(f2(x881,x882),f2(x881,f2(x882,x882)))),
% 181.15/181.16 inference(scs_inference,[],[16,33,78,3,2])).
% 181.15/181.16 cnf(91,plain,
% 181.15/181.16 (E(f6(f6(x911,x912),x913),f6(f6(x912,x911),x913))),
% 181.15/181.16 inference(scs_inference,[],[16,87,33,78,3,2,10,9,8])).
% 181.15/181.16 cnf(93,plain,
% 181.15/181.16 (E(f5(f6(x931,x932),x933),f5(f6(x932,x931),x933))),
% 181.15/181.16 inference(scs_inference,[],[16,87,33,78,3,2,10,9,8,5,4])).
% 181.15/181.16 cnf(94,plain,
% 181.15/181.16 (E(f2(f6(x941,x942),x943),f2(f6(x942,x941),x943))),
% 181.15/181.16 inference(scs_inference,[],[16,87,33,78,3,2,10,9,8,5,4,6])).
% 181.15/181.16 cnf(95,plain,
% 181.15/181.16 (~E(f2(f2(a3,a3),f2(a3,a3)),f2(a3,f6(a4,a3)))),
% 181.15/181.16 inference(scs_inference,[],[27,59,3])).
% 181.15/181.16 cnf(97,plain,
% 181.15/181.16 (~E(f6(a4,f2(a3,a3)),f2(a3,a3))),
% 181.15/181.16 inference(scs_inference,[],[27,59,76,3,2])).
% 181.15/181.16 cnf(98,plain,
% 181.15/181.16 (E(f2(f2(x981,x981),f6(x981,x982)),x981)),
% 181.15/181.16 inference(scs_inference,[],[17,34,3])).
% 181.15/181.16 cnf(100,plain,
% 181.15/181.16 (E(x1001,f2(x1001,f6(x1001,x1002)))),
% 181.15/181.16 inference(scs_inference,[],[17,34,3,2])).
% 181.15/181.16 cnf(107,plain,
% 181.15/181.16 (E(x1071,f6(x1071,f2(x1071,x1072)))),
% 181.15/181.16 inference(scs_inference,[],[18,27,85,3,2])).
% 181.15/181.16 cnf(110,plain,
% 181.15/181.16 (E(f2(f6(x1101,f2(x1101,x1102)),x1103),f2(x1101,x1103))),
% 181.15/181.16 inference(scs_inference,[],[18,27,85,3,2,10,9,6])).
% 181.15/181.16 cnf(113,plain,
% 181.15/181.16 (E(f5(f6(x1131,f2(x1131,x1132)),x1133),f5(x1131,x1133))),
% 181.15/181.16 inference(scs_inference,[],[18,27,85,3,2,10,9,6,8,5,4])).
% 181.15/181.16 cnf(121,plain,
% 181.15/181.16 (~E(f6(a4,a3),f2(a3,a3))),
% 181.15/181.16 inference(scs_inference,[],[31,97,3])).
% 181.15/181.16 cnf(124,plain,
% 181.15/181.16 (E(f7(f2(x1241,x1241)),f2(f7(x1241),f7(x1241)))),
% 181.15/181.16 inference(scs_inference,[],[30,27,3])).
% 181.15/181.16 cnf(136,plain,
% 181.15/181.16 (~E(f2(f6(a4,a3),f6(a4,a3)),f2(a3,a3))),
% 181.15/181.16 inference(scs_inference,[],[27,121,3])).
% 181.15/181.16 cnf(154,plain,
% 181.15/181.16 (~E(f2(a3,a3),f2(f6(a4,a3),f6(a4,a3)))),
% 181.15/181.16 inference(scs_inference,[],[40,27,136,3,2])).
% 181.15/181.16 cnf(155,plain,
% 181.15/181.16 (E(f2(x1551,x1551),f5(a1,x1551))),
% 181.15/181.16 inference(scs_inference,[],[41,35,3])).
% 181.15/181.16 cnf(158,plain,
% 181.15/181.16 (E(f5(x1581,f6(x1582,x1583)),f6(f5(x1581,x1582),f5(x1581,x1583)))),
% 181.15/181.16 inference(scs_inference,[],[23,41,35,3,2])).
% 181.15/181.16 cnf(160,plain,
% 181.15/181.16 (E(f6(f2(f5(x1601,x1602),f5(x1601,x1602)),f5(x1603,x1602)),f5(f6(x1601,x1603),x1602))),
% 181.15/181.16 inference(scs_inference,[],[25,32,3])).
% 181.15/181.16 cnf(163,plain,
% 181.15/181.16 (~E(f5(a1,a3),f2(a3,f6(a4,a3)))),
% 181.15/181.16 inference(scs_inference,[],[37,41,3])).
% 181.15/181.16 cnf(174,plain,
% 181.15/181.16 (~E(f2(a3,f6(a4,a3)),f5(a1,a3))),
% 181.15/181.16 inference(scs_inference,[],[36,35,163,3,2])).
% 181.15/181.16 cnf(175,plain,
% 181.15/181.16 (~E(a3,f2(a3,f5(a1,f6(a4,a3))))),
% 181.15/181.16 inference(scs_inference,[],[44,37,3])).
% 181.15/181.16 cnf(178,plain,
% 181.15/181.16 (E(f2(x1781,f5(a1,x1782)),f2(x1781,f2(x1782,x1782)))),
% 181.15/181.16 inference(scs_inference,[],[25,44,37,42,3,2,7])).
% 181.15/181.16 cnf(187,plain,
% 181.15/181.16 (E(f2(x1871,x1872),f2(f5(a1,x1871),x1872))),
% 181.15/181.16 inference(scs_inference,[],[27,33,41,124,3,2,9,10,6])).
% 181.15/181.16 cnf(188,plain,
% 181.15/181.16 (E(f5(x1881,x1882),f5(x1881,f5(a1,x1882)))),
% 181.15/181.16 inference(scs_inference,[],[27,33,41,124,3,2,9,10,6,5])).
% 181.15/181.16 cnf(189,plain,
% 181.15/181.16 (E(f5(x1891,x1892),f5(f5(a1,x1891),x1892))),
% 181.15/181.16 inference(scs_inference,[],[27,33,41,124,3,2,9,10,6,5,4])).
% 181.15/181.16 cnf(208,plain,
% 181.15/181.17 (E(f5(x2081,x2082),f5(x2081,f6(x2082,x2082)))),
% 181.15/181.17 inference(scs_inference,[],[48,45,31,51,69,3,2,9,10,8,6,5])).
% 181.15/181.17 cnf(213,plain,
% 181.15/181.17 (~E(a3,a4)),
% 181.15/181.17 inference(scs_inference,[],[45,48,175,3,2,8])).
% 181.15/181.17 cnf(224,plain,
% 181.15/181.17 (~E(f6(f6(a4,a3),f6(a4,a3)),f5(a1,a3))),
% 181.15/181.17 inference(scs_inference,[],[46,48,155,8,3])).
% 181.15/181.17 cnf(232,plain,
% 181.15/181.17 (E(f6(f2(x2321,x2321),x2322),f6(f6(x2321,x2322),f6(x2321,x2322)))),
% 181.15/181.17 inference(scs_inference,[],[32,48,3])).
% 181.15/181.17 cnf(234,plain,
% 181.15/181.17 (~E(f5(a1,a3),f6(f6(a4,a3),f6(a4,a3)))),
% 181.15/181.17 inference(scs_inference,[],[32,48,224,3,2])).
% 181.15/181.17 cnf(237,plain,
% 181.15/181.17 (E(f6(f6(x2371,x2372),f6(x2371,x2372)),f6(f2(x2371,x2371),x2372))),
% 181.15/181.17 inference(scs_inference,[],[52,45,232,3,2])).
% 181.15/181.17 cnf(239,plain,
% 181.15/181.17 (~E(f6(f6(a3,a4),f6(a3,a4)),f5(a1,a3))),
% 181.15/181.17 inference(scs_inference,[],[49,48,3])).
% 181.15/181.17 cnf(243,plain,
% 181.15/181.17 (E(f5(x2431,f6(f2(x2432,x2432),f2(x2432,x2432))),f5(x2431,x2432))),
% 181.15/181.17 inference(scs_inference,[],[53,35,3])).
% 181.15/181.17 cnf(251,plain,
% 181.15/181.17 (~E(a3,f2(f2(a3,a3),f6(a4,a3)))),
% 181.15/181.17 inference(scs_inference,[],[34,37,3])).
% 181.15/181.17 cnf(253,plain,
% 181.15/181.17 (~E(f5(a1,a3),f6(f6(a3,a4),f6(a3,a4)))),
% 181.15/181.17 inference(scs_inference,[],[34,37,239,3,2])).
% 181.15/181.17 cnf(257,plain,
% 181.15/181.17 (E(f2(x2571,f6(x2572,x2573)),f2(x2571,f6(x2573,x2572)))),
% 181.15/181.17 inference(scs_inference,[],[40,48,243,16,3,2,7])).
% 181.15/181.17 cnf(267,plain,
% 181.15/181.17 (E(f5(x2671,f2(f2(x2672,x2672),f6(x2672,x2673))),f5(x2671,x2672))),
% 181.15/181.17 inference(scs_inference,[],[55,45,160,98,15,3,2,9,10,5])).
% 181.15/181.17 cnf(270,plain,
% 181.15/181.17 (~E(f5(a1,f6(a4,a3)),f5(a1,a3))),
% 181.15/181.17 inference(scs_inference,[],[46,41,3])).
% 181.15/181.17 cnf(279,plain,
% 181.15/181.17 (~E(f5(a1,a3),f5(a1,f6(a4,a3)))),
% 181.15/181.17 inference(scs_inference,[],[53,49,270,3,2])).
% 181.15/181.17 cnf(281,plain,
% 181.15/181.17 (~E(f6(a3,a3),a4)),
% 181.15/181.17 inference(scs_inference,[],[48,213,3])).
% 181.15/181.17 cnf(321,plain,
% 181.15/181.17 (~E(f2(a3,a3),f2(a3,f5(a1,f6(a4,a3))))),
% 181.15/181.17 inference(scs_inference,[],[44,59,3])).
% 181.15/181.17 cnf(333,plain,
% 181.15/181.17 (~E(f2(a3,f5(a1,f6(a4,a3))),f2(a3,a3))),
% 181.15/181.17 inference(scs_inference,[],[48,154,321,14,7,3,2])).
% 181.15/181.17 cnf(335,plain,
% 181.15/181.17 (E(f6(f6(x3351,x3351),f6(x3352,x3352)),f6(x3351,x3352))),
% 181.15/181.17 inference(scs_inference,[],[52,55,333,7,3])).
% 181.15/181.17 cnf(348,plain,
% 181.15/181.17 (E(f5(f6(x3481,x3481),f6(x3482,x3482)),f5(x3481,x3482))),
% 181.15/181.17 inference(scs_inference,[],[54,53,3])).
% 181.15/181.17 cnf(354,plain,
% 181.15/181.17 (~E(f6(f5(a1,a3),f5(a1,a3)),f6(f6(a4,a3),f6(a4,a3)))),
% 181.15/181.17 inference(scs_inference,[],[48,234,3])).
% 181.15/181.17 cnf(357,plain,
% 181.15/181.17 (E(f2(f6(x3571,x3571),f6(x3572,x3572)),f2(x3571,x3572))),
% 181.15/181.17 inference(scs_inference,[],[63,56,3])).
% 181.15/181.17 cnf(366,plain,
% 181.15/181.17 (~E(f6(f6(a4,a3),f6(a4,a3)),f6(f5(a1,a3),f5(a1,a3)))),
% 181.15/181.17 inference(scs_inference,[],[49,54,354,3,2])).
% 181.15/181.17 cnf(367,plain,
% 181.15/181.17 (~E(f6(f2(a4,a4),a3),f6(f5(a1,a3),f5(a1,a3)))),
% 181.15/181.17 inference(scs_inference,[],[237,366,3])).
% 181.15/181.17 cnf(395,plain,
% 181.15/181.17 (E(f5(x3951,x3952),f5(x3951,f2(f2(x3952,x3952),f6(x3952,x3953))))),
% 181.15/181.17 inference(scs_inference,[],[74,267,279,3,2])).
% 181.15/181.17 cnf(473,plain,
% 181.15/181.17 (~E(f2(f6(a4,a3),f2(a3,a3)),f2(a3,a3))),
% 181.15/181.17 inference(scs_inference,[],[79,88,3])).
% 181.15/181.17 cnf(482,plain,
% 181.15/181.17 (~E(f2(a3,a3),f2(f6(a4,a3),f2(a3,a3)))),
% 181.15/181.17 inference(scs_inference,[],[91,473,253,3,2])).
% 181.15/181.17 cnf(524,plain,
% 181.15/181.17 (~E(f6(f2(a4,a4),f2(a3,a3)),f2(a3,a3))),
% 181.15/181.17 inference(scs_inference,[],[81,97,3])).
% 181.15/181.17 cnf(530,plain,
% 181.15/181.17 (~E(f2(a3,a3),f6(f2(a4,a4),f2(a3,a3)))),
% 181.15/181.17 inference(scs_inference,[],[94,100,524,3,2])).
% 181.15/181.17 cnf(547,plain,
% 181.15/181.17 (E(f5(f6(x5471,x5472),x5473),f5(f6(x5472,x5471),f6(x5473,x5473)))),
% 181.15/181.17 inference(scs_inference,[],[93,208,3])).
% 181.15/181.17 cnf(560,plain,
% 181.15/181.17 (E(f5(f6(x5601,x5602),f6(x5603,x5603)),f5(f6(x5602,x5601),x5603))),
% 181.15/181.17 inference(scs_inference,[],[91,107,547,3,2])).
% 181.15/181.17 cnf(581,plain,
% 181.15/181.17 (~E(f2(f2(a3,a3),f2(a3,a3)),f2(f6(a3,f2(a3,x5811)),f6(a4,a3)))),
% 181.15/181.17 inference(scs_inference,[],[110,95,3])).
% 181.15/181.17 cnf(600,plain,
% 181.15/181.17 (~E(f6(f2(a4,a4),a3),f5(a1,f6(a3,a3)))),
% 181.15/181.17 inference(scs_inference,[],[158,367,3])).
% 181.15/181.17 cnf(602,plain,
% 181.15/181.17 (~E(f2(f6(a3,f2(a3,x6021)),f6(a4,a3)),f2(f2(a3,a3),f2(a3,a3)))),
% 181.15/181.17 inference(scs_inference,[],[158,581,367,3,2])).
% 181.15/181.17 cnf(615,plain,
% 181.15/181.17 (E(f5(f6(f2(x6151,x6152),x6151),f6(x6153,x6153)),f5(x6151,x6153))),
% 181.15/181.17 inference(scs_inference,[],[113,560,3])).
% 181.15/181.17 cnf(623,plain,
% 181.15/181.17 (E(f5(x6231,x6232),f5(f6(f2(x6231,x6233),x6231),f6(x6232,x6232)))),
% 181.15/181.17 inference(scs_inference,[],[100,615,251,3,2])).
% 181.15/181.17 cnf(920,plain,
% 181.15/181.17 (~E(f2(a3,a3),f2(f6(a4,a3),f5(a1,a3)))),
% 181.15/181.17 inference(scs_inference,[],[178,482,3])).
% 181.15/181.17 cnf(931,plain,
% 181.15/181.17 (~E(f2(f6(a4,a3),f5(a1,a3)),f2(a3,a3))),
% 181.15/181.17 inference(scs_inference,[],[178,920,602,3,2])).
% 181.15/181.17 cnf(1008,plain,
% 181.15/181.17 (E(f5(f5(a1,x10081),f5(a1,x10082)),f5(x10081,x10082))),
% 181.15/181.17 inference(scs_inference,[],[188,189,3,2])).
% 181.15/181.17 cnf(1020,plain,
% 181.15/181.17 (~E(f2(f5(a1,f6(a4,a3)),f5(a1,a3)),f2(a3,a3))),
% 181.15/181.17 inference(scs_inference,[],[187,931,3])).
% 181.15/181.17 cnf(1026,plain,
% 181.15/181.17 (~E(f2(a3,a3),f2(f5(a1,f6(a4,a3)),f5(a1,a3)))),
% 181.15/181.17 inference(scs_inference,[],[1020,2])).
% 181.15/181.17 cnf(1081,plain,
% 181.15/181.17 (E(x10811,f6(f6(x10811,x10811),f2(f6(x10811,x10811),x10812)))),
% 181.15/181.17 inference(scs_inference,[],[48,107,88,5,4,7,10,3])).
% 181.15/181.17 cnf(1091,plain,
% 181.15/181.17 (~E(f6(f2(a3,a3),f2(a3,a3)),f2(f6(a4,a3),a3))),
% 181.15/181.17 inference(scs_inference,[],[48,85,1081,2,3])).
% 181.15/181.17 cnf(1093,plain,
% 181.15/181.17 (~E(a4,f6(a3,a3))),
% 181.15/181.17 inference(scs_inference,[],[281,2])).
% 181.15/181.17 cnf(1130,plain,
% 181.15/181.17 (~E(f5(a1,f6(a3,a3)),f6(f2(a4,a4),a3))),
% 181.15/181.17 inference(scs_inference,[],[600,2])).
% 181.15/181.17 cnf(1211,plain,
% 181.15/181.17 (~E(f6(f2(a3,a3),f2(a3,a3)),f2(f5(a1,f6(a4,a3)),f5(a1,a3)))),
% 181.15/181.17 inference(scs_inference,[],[48,1026,3])).
% 181.15/181.17 cnf(1249,plain,
% 181.15/181.17 (~E(f2(a3,f6(a4,a3)),f5(f5(a1,a1),f5(a1,a3)))),
% 181.15/181.17 inference(scs_inference,[],[1008,174,1091,2,3])).
% 181.15/181.17 cnf(1317,plain,
% 181.15/181.17 (~E(f6(a4,a4),f6(a3,a3))),
% 181.15/181.17 inference(scs_inference,[],[48,1093,3])).
% 181.15/181.17 cnf(1322,plain,
% 181.15/181.17 (~E(f6(a3,a3),f6(a4,a4))),
% 181.15/181.17 inference(scs_inference,[],[1317,2])).
% 181.15/181.17 cnf(1325,plain,
% 181.15/181.17 (~E(f6(f6(a3,a3),f6(a3,a3)),f6(a4,a4))),
% 181.15/181.17 inference(scs_inference,[],[48,1322,3])).
% 181.15/181.17 cnf(1330,plain,
% 181.15/181.17 (~E(f6(a4,a4),f6(f6(a3,a3),f6(a3,a3)))),
% 181.15/181.17 inference(scs_inference,[],[11,395,1325,3,2])).
% 181.15/181.17 cnf(1409,plain,
% 181.15/181.17 (~E(f6(f6(a4,a4),f6(a4,a4)),f6(f6(a3,a3),f6(a3,a3)))),
% 181.15/181.17 inference(scs_inference,[],[48,1330,3])).
% 181.15/181.17 cnf(1428,plain,
% 181.15/181.17 (E(f6(f6(x14281,x14281),f6(x14282,x14282)),f6(f6(x14281,x14282),f6(x14281,x14282)))),
% 181.15/181.17 inference(scs_inference,[],[48,335,1409,2,3])).
% 181.15/181.17 cnf(1431,plain,
% 181.15/181.17 (E(f5(a1,f5(x14311,x14312)),f5(f6(f2(x14311,x14313),x14311),f6(x14312,x14312)))),
% 181.15/181.17 inference(scs_inference,[],[11,623,1428,2,3])).
% 181.15/181.17 cnf(1442,plain,
% 181.15/181.17 (~E(f2(a3,a3),f2(a4,a4))),
% 181.15/181.17 inference(scs_inference,[],[48,530,1249,2,3,8])).
% 181.15/181.17 cnf(1444,plain,
% 181.15/181.17 (E(f5(f6(a1,a1),f6(x14441,x14441)),x14441)),
% 181.15/181.17 inference(scs_inference,[],[11,348,1431,2,3])).
% 181.15/181.17 cnf(1448,plain,
% 181.15/181.17 (~E(f2(a4,a4),f2(a3,a3))),
% 181.15/181.17 inference(scs_inference,[],[1442,2])).
% 181.15/181.17 cnf(1454,plain,
% 181.15/181.17 (E(f2(f5(f6(a1,a1),f6(x14541,x14541)),x14542),f2(x14541,x14542))),
% 181.15/181.17 inference(scs_inference,[],[48,1448,1444,2,3,6])).
% 181.15/181.17 cnf(1471,plain,
% 181.15/181.17 (E(f2(f6(x14711,x14711),f6(x14712,x14712)),f6(f2(x14711,x14712),f2(x14711,x14712)))),
% 181.15/181.17 inference(scs_inference,[],[48,357,1454,2,3])).
% 181.15/181.17 cnf(1483,plain,
% 181.15/181.17 (~E(a3,f2(a4,a4))),
% 181.15/181.17 inference(scs_inference,[],[11,1471,1130,2,3,8])).
% 181.15/181.17 cnf(1484,plain,
% 181.15/181.17 (~E(f2(a4,a4),a3)),
% 181.15/181.17 inference(scs_inference,[],[1483,2])).
% 181.15/181.17 cnf(1491,plain,
% 181.15/181.17 (~E(f6(f2(a4,a4),f2(a4,a4)),a3)),
% 181.15/181.17 inference(scs_inference,[],[48,1484,1211,2,3])).
% 181.15/181.17 cnf(3112,plain,
% 181.15/181.17 ($false),
% 181.15/181.17 inference(scs_inference,[],[26,1491,257,17,2,3]),
% 181.15/181.17 ['proof']).
% 181.15/181.17 % SZS output end Proof
% 181.15/181.17 % Total time :180.500000s
%------------------------------------------------------------------------------