TSTP Solution File: LCL217-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL217-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 06:48:30 EDT 2023
% Result : Unsatisfiable 259.02s 259.05s
% Output : CNFRefutation 259.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL217-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n028.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 : Thu Aug 24 18:38:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 259.02/259.04 %-------------------------------------------
% 259.02/259.04 % File :CSE---1.6
% 259.02/259.04 % Problem :theBenchmark
% 259.02/259.04 % Transform :cnf
% 259.02/259.04 % Format :tptp:raw
% 259.02/259.04 % Command :java -jar mcs_scs.jar %d %s
% 259.02/259.04
% 259.02/259.04 % Result :Theorem 258.400000s
% 259.02/259.04 % Output :CNFRefutation 258.400000s
% 259.02/259.04 %-------------------------------------------
% 259.02/259.05 %--------------------------------------------------------------------------
% 259.02/259.05 % File : LCL217-3 : TPTP v8.1.2. Released v2.3.0.
% 259.02/259.05 % Domain : Logic Calculi (Propositional)
% 259.02/259.05 % Problem : Principia Mathematica 2.65
% 259.02/259.05 % Version : [WR27] axioms.
% 259.02/259.05 % English :
% 259.02/259.05
% 259.02/259.05 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 259.02/259.05 % Source : [WR27]
% 259.02/259.05 % Names : Problem 2.65 [WR27]
% 259.02/259.05
% 259.02/259.05 % Status : Unsatisfiable
% 259.02/259.05 % Rating : 0.33 v7.5.0, 0.40 v7.4.0, 0.44 v7.2.0, 0.50 v7.1.0, 0.57 v6.3.0, 0.50 v6.2.0, 0.00 v6.1.0, 0.40 v6.0.0, 0.78 v5.5.0, 0.94 v5.4.0, 0.87 v5.3.0, 0.92 v5.2.0, 0.75 v5.1.0, 0.71 v4.1.0, 0.78 v4.0.1, 0.67 v4.0.0, 0.83 v3.5.0, 0.67 v3.3.0, 0.71 v3.1.0, 0.78 v2.7.0, 0.50 v2.6.0, 0.57 v2.5.0, 0.40 v2.4.0, 0.67 v2.3.0
% 259.02/259.05 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 259.02/259.05 % Number of literals : 12 ( 1 equ; 4 neg)
% 259.02/259.05 % Maximal clause size : 3 ( 1 avg)
% 259.02/259.05 % Maximal term depth : 5 ( 2 avg)
% 259.02/259.05 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 259.02/259.05 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 259.02/259.05 % Number of variables : 16 ( 1 sgn)
% 259.02/259.05 % SPC : CNF_UNS_RFO_SEQ_HRN
% 259.02/259.05
% 259.02/259.05 % Comments :
% 259.02/259.05 %--------------------------------------------------------------------------
% 259.02/259.05 %----Include axioms of propositional logic
% 259.02/259.05 include('Axioms/LCL004-0.ax').
% 259.02/259.05 %--------------------------------------------------------------------------
% 259.02/259.05 cnf(prove_this,negated_conjecture,
% 259.02/259.05 ~ theorem(implies(implies(p,q),implies(implies(p,not(q)),not(p)))) ).
% 259.02/259.05
% 259.02/259.05 %--------------------------------------------------------------------------
% 259.02/259.05 %-------------------------------------------
% 259.02/259.05 % Proof found
% 259.02/259.05 % SZS status Theorem for theBenchmark
% 259.02/259.05 % SZS output start Proof
% 259.06/259.06 %ClaNum:8(EqnAxiom:0)
% 259.06/259.06 %VarNum:28(SingletonVarNum:14)
% 259.06/259.06 %MaxLitNum:3
% 259.06/259.06 %MaxfuncDepth:3
% 259.06/259.06 %SharedTerms:10
% 259.06/259.06 %goalClause: 6
% 259.06/259.06 %singleGoalClaCount:1
% 259.06/259.06 [6]~P2(f2(f1(f2(f1(a3),a4)),f2(f1(f2(f1(a3),f1(a4))),f1(a3))))
% 259.06/259.06 [2]P1(f2(f1(f2(x21,x21)),x21))
% 259.06/259.06 [1]P1(f2(f1(x11),f2(x12,x11)))
% 259.06/259.06 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 259.06/259.06 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 259.06/259.06 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 259.06/259.06 [7]~P1(x71)+P2(x71)
% 259.06/259.06 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 259.06/259.06 %EqnAxiom
% 259.06/259.06
% 259.06/259.06 %-------------------------------------------
% 259.06/259.08 cnf(10,plain,
% 259.06/259.08 (P2(f2(f1(x101),f2(x102,x101)))),
% 259.06/259.08 inference(scs_inference,[],[1,7])).
% 259.06/259.08 cnf(11,plain,
% 259.06/259.08 (~P2(f2(f1(f2(f1(a3),f1(a4))),f1(a3)))),
% 259.06/259.08 inference(scs_inference,[],[10,6,8])).
% 259.06/259.08 cnf(18,plain,
% 259.06/259.08 (P2(f2(f1(f2(x181,x181)),x181))),
% 259.06/259.08 inference(scs_inference,[],[2,10,11,8,7])).
% 259.06/259.08 cnf(20,plain,
% 259.06/259.08 (P2(f2(x201,f2(f1(f2(x202,x202)),x202)))),
% 259.06/259.08 inference(scs_inference,[],[10,18,8])).
% 259.06/259.08 cnf(25,plain,
% 259.06/259.08 (~P2(f1(a3))),
% 259.06/259.08 inference(scs_inference,[],[11,10,8])).
% 259.06/259.08 cnf(28,plain,
% 259.06/259.08 (P2(f2(f1(f2(x281,x282)),f2(x282,x281)))),
% 259.06/259.08 inference(scs_inference,[],[3,11,10,8,7])).
% 259.06/259.08 cnf(34,plain,
% 259.06/259.08 (P2(f2(x341,f2(x342,f2(f1(f2(x343,x343)),x343))))),
% 259.06/259.08 inference(scs_inference,[],[10,20,8])).
% 259.06/259.08 cnf(37,plain,
% 259.06/259.08 (P2(f2(f1(f2(x371,f2(x372,x373))),f2(x372,f2(x371,x373))))),
% 259.06/259.08 inference(scs_inference,[],[4,10,20,8,7])).
% 259.06/259.08 cnf(46,plain,
% 259.06/259.08 (P2(f2(f1(f2(f1(x461),x462)),f2(f1(f2(x463,x461)),f2(x463,x462))))),
% 259.06/259.08 inference(scs_inference,[],[5,18,25,8,7])).
% 259.06/259.08 cnf(50,plain,
% 259.06/259.08 (P2(f2(x501,f2(f1(f2(x502,f2(x503,x504))),f2(x503,f2(x502,x504)))))),
% 259.06/259.08 inference(scs_inference,[],[10,37,8])).
% 259.06/259.08 cnf(53,plain,
% 259.06/259.08 (P2(f2(x531,f2(f1(x532),f2(x533,x532))))),
% 259.06/259.08 inference(scs_inference,[],[1,10,7,8])).
% 259.06/259.08 cnf(54,plain,
% 259.06/259.08 (~P2(f2(f1(a3),f1(a3)))),
% 259.06/259.08 inference(scs_inference,[],[18,25,8])).
% 259.06/259.08 cnf(60,plain,
% 259.06/259.08 (~P2(f2(f1(f2(f1(f2(x601,x602)),f2(x602,x601))),f2(f1(f2(f1(a3),f1(a4))),f1(a3))))),
% 259.06/259.08 inference(scs_inference,[],[3,11,7,8])).
% 259.06/259.08 cnf(65,plain,
% 259.06/259.08 (P2(f2(f2(f1(f2(x651,x651)),x651),x652))),
% 259.06/259.08 inference(scs_inference,[],[20,28,8])).
% 259.06/259.08 cnf(78,plain,
% 259.06/259.08 (P2(f2(f1(f2(x781,x781)),f2(x782,x781)))),
% 259.06/259.08 inference(scs_inference,[],[20,37,8])).
% 259.06/259.08 cnf(89,plain,
% 259.06/259.08 (P2(f2(f2(x891,f2(f1(f2(x892,x892)),x892)),x893))),
% 259.06/259.08 inference(scs_inference,[],[34,28,8])).
% 259.06/259.08 cnf(105,plain,
% 259.06/259.08 (P2(f2(f1(f2(x1051,f2(x1052,x1053))),f2(x1054,f2(x1052,f2(x1051,x1053)))))),
% 259.06/259.08 inference(scs_inference,[],[37,50,8])).
% 259.06/259.08 cnf(128,plain,
% 259.06/259.08 (P2(f2(x1281,f2(f1(x1282),f2(x1283,f2(x1284,x1282)))))),
% 259.06/259.08 inference(scs_inference,[],[53,105,8])).
% 259.06/259.08 cnf(135,plain,
% 259.06/259.08 (P2(f2(f1(x1351),f2(x1352,f2(x1353,x1351))))),
% 259.06/259.08 inference(scs_inference,[],[65,128,8])).
% 259.06/259.08 cnf(155,plain,
% 259.06/259.08 (P2(f2(x1551,f2(x1552,f2(f1(f2(x1553,x1553)),f2(x1554,x1553)))))),
% 259.06/259.08 inference(scs_inference,[],[78,135,8])).
% 259.06/259.08 cnf(161,plain,
% 259.06/259.08 (P2(f2(x1611,f2(f1(f2(x1612,x1612)),f2(x1613,x1612))))),
% 259.06/259.08 inference(scs_inference,[],[89,155,8])).
% 259.06/259.08 cnf(165,plain,
% 259.06/259.08 (P2(f2(x1651,f2(f1(f2(x1652,x1652)),f2(x1653,f2(x1654,x1652)))))),
% 259.06/259.08 inference(scs_inference,[],[105,161,8])).
% 259.06/259.08 cnf(170,plain,
% 259.06/259.08 (P2(f2(f1(f2(x1701,x1701)),f2(x1702,f2(x1703,x1701))))),
% 259.06/259.08 inference(scs_inference,[],[105,165,8])).
% 259.06/259.08 cnf(232,plain,
% 259.06/259.08 (P2(f2(f1(f2(x2321,f2(x2322,x2322))),f2(x2321,f2(x2323,f2(x2324,x2322)))))),
% 259.06/259.08 inference(scs_inference,[],[170,46,8])).
% 259.06/259.08 cnf(324,plain,
% 259.06/259.08 (~P2(f2(f1(f2(f1(f2(x3241,x3241)),x3241)),f2(f1(a3),f1(a3))))),
% 259.06/259.08 inference(scs_inference,[],[18,54,8])).
% 259.06/259.08 cnf(342,plain,
% 259.06/259.08 (P2(f2(x3421,f2(x3422,f2(f1(x3423),x3423))))),
% 259.06/259.08 inference(scs_inference,[],[10,105,8])).
% 259.06/259.08 cnf(357,plain,
% 259.06/259.08 (P2(f2(x3571,f2(f1(x3572),x3572)))),
% 259.06/259.08 inference(scs_inference,[],[20,342,8])).
% 259.06/259.08 cnf(366,plain,
% 259.06/259.08 (~P2(f2(f1(a3),f2(f1(f2(f1(f2(x3661,x3661)),x3661)),f1(a3))))),
% 259.06/259.08 inference(scs_inference,[],[37,324,8])).
% 259.06/259.08 cnf(370,plain,
% 259.06/259.09 (P2(f2(f1(x3701),x3701))),
% 259.06/259.09 inference(scs_inference,[],[34,357,8])).
% 259.06/259.09 cnf(377,plain,
% 259.06/259.09 (P2(f2(f2(x3771,f2(x3772,x3773)),f1(f2(x3772,f2(x3771,x3773)))))),
% 259.06/259.09 inference(scs_inference,[],[28,37,8])).
% 259.06/259.09 cnf(396,plain,
% 259.06/259.09 (P2(f2(x3961,f2(x3962,f2(f1(f2(x3963,f2(x3962,x3964))),f2(x3963,x3964)))))),
% 259.06/259.09 inference(scs_inference,[],[37,105,8])).
% 259.06/259.09 cnf(406,plain,
% 259.06/259.09 (P2(f2(f1(f2(x4061,x4062)),f2(x4061,f2(x4063,f2(x4064,x4062)))))),
% 259.06/259.09 inference(scs_inference,[],[46,135,8])).
% 259.06/259.09 cnf(411,plain,
% 259.06/259.09 (~P2(f2(f1(f2(f1(a4),f1(a3))),f1(a3)))),
% 259.06/259.09 inference(scs_inference,[],[46,60,8])).
% 259.06/259.09 cnf(434,plain,
% 259.06/259.09 (P2(f2(f1(f2(x4341,f2(x4342,x4342))),f2(x4341,f2(x4343,x4342))))),
% 259.06/259.09 inference(scs_inference,[],[78,46,8])).
% 259.06/259.09 cnf(552,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x5521,f2(x5522,x5523)),f2(x5523,x5523))),f2(x5524,f2(x5521,f2(x5522,x5523)))))),
% 259.06/259.09 inference(scs_inference,[],[232,434,8])).
% 259.06/259.09 cnf(622,plain,
% 259.06/259.09 (~P2(f2(f1(a3),f2(f1(a3),f1(a3))))),
% 259.06/259.09 inference(scs_inference,[],[366,434,8])).
% 259.06/259.09 cnf(639,plain,
% 259.06/259.09 (P2(f2(x6391,f2(x6392,f2(f1(f2(x6392,x6393)),x6393))))),
% 259.06/259.09 inference(scs_inference,[],[370,105,8])).
% 259.06/259.09 cnf(652,plain,
% 259.06/259.09 (P2(f2(x6521,f2(f1(f2(x6521,x6522)),x6522)))),
% 259.06/259.09 inference(scs_inference,[],[377,639,8])).
% 259.06/259.09 cnf(660,plain,
% 259.06/259.09 (~P2(a4)),
% 259.06/259.09 inference(scs_inference,[],[411,652,8])).
% 259.06/259.09 cnf(666,plain,
% 259.06/259.09 (P2(f2(x6661,f2(x6662,f2(f1(f2(x6663,f2(x6661,x6664))),f2(x6663,x6664)))))),
% 259.06/259.09 inference(scs_inference,[],[396,37,8])).
% 259.06/259.09 cnf(690,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x6901,x6902),f2(x6902,x6902))),f2(x6903,f2(x6904,f2(x6901,x6902)))))),
% 259.06/259.09 inference(scs_inference,[],[434,232,8])).
% 259.06/259.09 cnf(709,plain,
% 259.06/259.09 (P2(f2(f1(f2(x7091,f2(f2(x7091,x7092),x7092))),f2(x7093,f2(x7091,x7092))))),
% 259.06/259.09 inference(scs_inference,[],[434,37,8])).
% 259.06/259.09 cnf(810,plain,
% 259.06/259.09 (~P2(f2(a4,a4))),
% 259.06/259.09 inference(scs_inference,[],[660,18,8])).
% 259.06/259.09 cnf(830,plain,
% 259.06/259.09 (P2(f2(f2(x8301,f2(f1(f2(x8302,f2(x8303,x8304))),f2(x8302,x8304))),x8303))),
% 259.06/259.09 inference(scs_inference,[],[666,28,8])).
% 259.06/259.09 cnf(847,plain,
% 259.06/259.09 (P2(f2(x8471,f2(f1(f2(f2(x8472,x8473),f2(x8473,x8473))),f2(x8474,f2(x8472,x8473)))))),
% 259.06/259.09 inference(scs_inference,[],[690,709,8])).
% 259.06/259.09 cnf(858,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x8581,x8582),f2(x8582,x8582))),f2(x8583,f2(x8581,x8582))))),
% 259.06/259.09 inference(scs_inference,[],[709,847,8])).
% 259.06/259.09 cnf(871,plain,
% 259.06/259.09 (P2(f2(x8711,f2(f1(f2(f2(x8712,x8713),f2(x8713,x8713))),f2(x8712,x8713))))),
% 259.06/259.09 inference(scs_inference,[],[709,858,8])).
% 259.06/259.09 cnf(876,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x8761,x8762),f2(x8762,x8762))),f2(x8761,x8762)))),
% 259.06/259.09 inference(scs_inference,[],[709,871,8])).
% 259.06/259.09 cnf(922,plain,
% 259.06/259.09 (~P2(f2(f2(a4,a4),f2(a4,a4)))),
% 259.06/259.09 inference(scs_inference,[],[810,876,8])).
% 259.06/259.09 cnf(926,plain,
% 259.06/259.09 (P2(f2(f2(x9261,f2(f1(f2(x9262,f2(x9263,x9264))),f2(x9262,x9264))),f2(x9265,f2(x9266,x9263))))),
% 259.06/259.09 inference(scs_inference,[],[830,406,8])).
% 259.06/259.09 cnf(939,plain,
% 259.06/259.09 (P2(f2(x9391,f2(f1(f2(x9392,f2(f2(x9392,x9393),x9393))),f2(x9392,x9393))))),
% 259.06/259.09 inference(scs_inference,[],[926,876,8])).
% 259.06/259.09 cnf(946,plain,
% 259.06/259.09 (P2(f2(f1(f2(x9461,f2(f2(x9461,x9462),x9462))),f2(x9461,x9462)))),
% 259.06/259.09 inference(scs_inference,[],[847,939,8])).
% 259.06/259.09 cnf(987,plain,
% 259.06/259.09 (~P2(f2(f2(a4,a4),f2(f2(f2(a4,a4),f2(a4,a4)),f2(a4,a4))))),
% 259.06/259.09 inference(scs_inference,[],[922,946,8])).
% 259.06/259.09 cnf(993,plain,
% 259.06/259.09 (P2(f2(x9931,f2(x9932,f2(f1(f2(x9933,f2(x9934,x9934))),f2(x9933,x9934)))))),
% 259.06/259.09 inference(scs_inference,[],[926,552,8])).
% 259.06/259.09 cnf(999,plain,
% 259.06/259.09 (P2(f2(x9991,f2(f1(f2(x9992,f2(x9993,x9993))),f2(x9992,x9993))))),
% 259.06/259.09 inference(scs_inference,[],[939,993,8])).
% 259.06/259.09 cnf(1003,plain,
% 259.06/259.09 (P2(f2(f1(f2(x10031,f2(x10032,x10032))),f2(x10031,x10032)))),
% 259.06/259.09 inference(scs_inference,[],[939,999,8])).
% 259.06/259.09 cnf(1020,plain,
% 259.06/259.09 (~P2(f2(f2(a4,a4),a4))),
% 259.06/259.09 inference(scs_inference,[],[987,406,8])).
% 259.06/259.09 cnf(1039,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x10391,f2(x10392,x10393)),x10393)),f2(x10391,f2(x10392,x10393))))),
% 259.06/259.09 inference(scs_inference,[],[1003,406,8])).
% 259.06/259.09 cnf(1129,plain,
% 259.06/259.09 (P2(f2(x11291,f2(f1(f2(x11292,f2(x11293,x11293))),f2(x11292,f2(x11294,x11293)))))),
% 259.06/259.09 inference(scs_inference,[],[10,434,8])).
% 259.06/259.09 cnf(1141,plain,
% 259.06/259.09 (~P2(f2(f1(f2(f1(x11411),f2(x11412,x11411))),f2(f1(a3),f2(f1(a3),f1(a3)))))),
% 259.06/259.09 inference(scs_inference,[],[10,622,8])).
% 259.06/259.09 cnf(1146,plain,
% 259.06/259.09 (P2(f2(x11461,f2(f1(f2(x11462,x11463)),f2(x11463,x11462))))),
% 259.06/259.09 inference(scs_inference,[],[10,28,8])).
% 259.06/259.09 cnf(1188,plain,
% 259.06/259.09 (~P2(f2(f1(f2(f1(f2(x11881,f2(x11882,x11883))),f2(x11882,f2(x11881,x11883)))),f2(a4,a4)))),
% 259.06/259.09 inference(scs_inference,[],[37,810,8])).
% 259.06/259.09 cnf(1191,plain,
% 259.06/259.09 (P2(f2(f1(f2(x11911,x11912)),f2(f1(f2(f1(x11912),x11913)),f2(x11911,x11913))))),
% 259.06/259.09 inference(scs_inference,[],[37,46,8])).
% 259.06/259.09 cnf(1195,plain,
% 259.06/259.09 (~P2(f2(a4,f2(f2(a4,a4),a4)))),
% 259.06/259.09 inference(scs_inference,[],[1188,709,8])).
% 259.06/259.09 cnf(1208,plain,
% 259.06/259.09 (~P2(f2(f1(f2(x12081,f2(f1(x12082),f2(x12083,x12082)))),f2(f2(a4,a4),a4)))),
% 259.06/259.09 inference(scs_inference,[],[53,1020,8])).
% 259.06/259.09 cnf(1212,plain,
% 259.06/259.09 (P2(f2(f1(f2(f1(x12121),x12122)),f2(f1(f2(x12121,x12121)),x12122)))),
% 259.06/259.09 inference(scs_inference,[],[1191,18,8])).
% 259.06/259.09 cnf(1225,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x12251,x12251),f2(x12251,x12251))),f2(x12252,x12251)))),
% 259.06/259.09 inference(scs_inference,[],[78,1212,8])).
% 259.06/259.09 cnf(1229,plain,
% 259.06/259.09 (~P2(f2(f2(f2(a4,a4),a4),f2(f2(a4,a4),a4)))),
% 259.06/259.09 inference(scs_inference,[],[78,1208,8])).
% 259.06/259.09 cnf(1252,plain,
% 259.06/259.09 (P2(f2(x12521,f2(f1(f2(x12522,x12523)),f2(x12524,f2(x12523,x12522)))))),
% 259.06/259.09 inference(scs_inference,[],[105,1146,8])).
% 259.06/259.09 cnf(1257,plain,
% 259.06/259.09 (P2(f2(f1(f2(x12571,x12572)),f2(x12573,f2(x12572,x12571))))),
% 259.06/259.09 inference(scs_inference,[],[89,1252,8])).
% 259.06/259.09 cnf(1327,plain,
% 259.06/259.09 (P2(f2(f1(f2(x13271,x13272)),f2(x13273,f2(x13274,f2(x13272,x13271)))))),
% 259.06/259.09 inference(scs_inference,[],[232,1257,8])).
% 259.06/259.09 cnf(1485,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(f2(x14851,x14852),f2(x14851,x14852)),x14852)),f2(x14853,f2(x14851,x14852))))),
% 259.06/259.09 inference(scs_inference,[],[434,1039,8])).
% 259.06/259.09 cnf(1780,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(f2(x17801,x17802),f2(x17801,x17802)),x17802)),f2(x17801,x17802)))),
% 259.06/259.09 inference(scs_inference,[],[946,1485,8])).
% 259.06/259.09 cnf(1884,plain,
% 259.06/259.09 (P2(f2(f1(f2(x18841,f2(x18842,x18842))),f2(x18843,f2(x18841,f2(x18844,x18842)))))),
% 259.06/259.09 inference(scs_inference,[],[1129,37,8])).
% 259.06/259.09 cnf(1896,plain,
% 259.06/259.09 (P2(f2(x18961,f2(x18962,f2(f1(f2(x18963,x18964)),f2(x18964,x18963)))))),
% 259.06/259.09 inference(scs_inference,[],[1141,1146,1485,7,8])).
% 259.06/259.09 cnf(1920,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x19201,x19202),f2(x19201,x19202))),f2(f1(f2(f1(x19202),x19203)),f2(x19201,x19203))))),
% 259.06/259.09 inference(scs_inference,[],[1191,1195,1212,7,8])).
% 259.06/259.09 cnf(1935,plain,
% 259.06/259.09 (~P2(f2(a4,f2(a4,a4)))),
% 259.06/259.09 inference(scs_inference,[],[1229,1257,8])).
% 259.06/259.09 cnf(1944,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x19441,x19442),f2(x19441,x19442))),f2(x19443,f2(x19444,f2(x19442,x19441)))))),
% 259.06/259.09 inference(scs_inference,[],[1212,1327,8])).
% 259.06/259.09 cnf(1953,plain,
% 259.06/259.09 (~P2(f2(f1(f2(f1(f2(f2(x19531,x19531),f2(x19531,x19531))),f2(x19532,x19531))),f2(a4,f2(a4,a4))))),
% 259.06/259.09 inference(scs_inference,[],[1225,1935,8])).
% 259.06/259.09 cnf(2308,plain,
% 259.06/259.09 (P2(f2(f1(f2(x23081,f2(x23082,f2(x23083,x23082)))),f2(x23081,f2(x23083,x23082))))),
% 259.06/259.09 inference(scs_inference,[],[1780,926,8])).
% 259.06/259.09 cnf(2388,plain,
% 259.06/259.09 (~P2(f2(f2(a4,f2(f2(a4,a4),f2(a4,a4))),f2(a4,f2(f2(a4,a4),f2(a4,a4)))))),
% 259.06/259.09 inference(scs_inference,[],[1953,1920,8])).
% 259.06/259.09 cnf(2400,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x24001,x24002),f2(x24001,x24002))),f2(x24003,f2(x24002,x24001))))),
% 259.06/259.09 inference(scs_inference,[],[1944,2308,8])).
% 259.06/259.09 cnf(2605,plain,
% 259.06/259.09 (P2(f2(f1(f2(f2(x26051,x26052),f2(x26051,x26052))),f2(x26052,x26051)))),
% 259.06/259.09 inference(scs_inference,[],[2308,2400,8])).
% 259.06/259.09 cnf(2631,plain,
% 259.06/259.09 (~P2(f2(a4,f2(f2(a4,a4),f2(a4,a4))))),
% 259.06/259.09 inference(scs_inference,[],[2388,1884,8])).
% 259.06/259.09 cnf(2830,plain,
% 259.06/259.09 (P2(f2(f2(f1(f2(x28301,x28302)),f2(x28302,x28301)),x28303))),
% 259.06/259.09 inference(scs_inference,[],[2605,1896,8])).
% 259.06/259.09 cnf(2842,plain,
% 259.06/259.09 (P2(f2(f2(x28421,x28422),f1(f2(x28422,x28421))))),
% 259.06/259.09 inference(scs_inference,[],[2605,2830,8])).
% 259.06/259.09 cnf(2847,plain,
% 259.06/259.09 (~P2(f2(f2(a4,f2(f2(a4,a4),f2(a4,a4))),f2(a4,a4)))),
% 259.06/259.09 inference(scs_inference,[],[2631,1039,8])).
% 259.06/259.09 cnf(2988,plain,
% 259.06/259.09 (P2(f2(x29881,f2(x29882,f2(f2(x29883,x29884),f1(f2(x29884,x29883))))))),
% 259.06/259.09 inference(scs_inference,[],[2830,1944,8])).
% 259.06/259.09 cnf(3000,plain,
% 259.06/259.09 (P2(f2(x30001,f2(f2(x30002,x30003),f1(f2(x30003,x30002)))))),
% 259.06/259.09 inference(scs_inference,[],[2842,2988,8])).
% 259.06/259.09 cnf(3024,plain,
% 259.06/259.09 (P2(f2(x30241,f2(f2(x30242,x30243),f2(x30244,f1(f2(x30243,x30242))))))),
% 259.06/259.09 inference(scs_inference,[],[2847,3000,105,7,8])).
% 259.06/259.09 cnf(3416,plain,
% 259.06/259.09 (P2(f2(x34161,f2(f1(f2(x34162,x34161)),x34162)))),
% 259.06/259.09 inference(scs_inference,[],[28,37,8])).
% 259.06/259.09 cnf(4174,plain,
% 259.06/259.09 (~P2(f2(f1(f2(f1(a3),a4)),f2(f1(a3),f2(f1(f2(f1(a3),f1(a4))),f1(a3)))))),
% 259.06/259.09 inference(scs_inference,[],[6,2308,8])).
% 259.06/259.09 cnf(5520,plain,
% 259.06/259.09 (P2(f2(x55201,f2(x55202,f2(f1(f2(x55203,x55202)),x55203))))),
% 259.06/259.09 inference(scs_inference,[],[10,3416,8])).
% 259.06/259.09 cnf(5612,plain,
% 259.06/259.09 (P2(f2(x56121,f2(x56122,f2(f2(x56123,x56124),f2(x56125,f1(f2(x56124,x56123)))))))),
% 259.06/259.09 inference(scs_inference,[],[10,3024,8])).
% 259.06/259.09 cnf(5699,plain,
% 259.06/259.09 (P2(f2(f1(f2(x56991,f2(x56992,f2(x56993,x56994)))),f2(x56991,f2(x56993,f2(x56992,x56994)))))),
% 259.06/259.09 inference(scs_inference,[],[46,37,8])).
% 259.06/259.09 cnf(6456,plain,
% 259.06/259.09 (P2(f2(f1(f2(f1(x64561),x64562)),f2(x64563,f2(f1(f2(x64563,x64561)),x64562))))),
% 259.06/259.09 inference(scs_inference,[],[46,5699,8])).
% 259.06/259.09 cnf(6470,plain,
% 259.06/259.09 (P2(f2(x64701,f2(f1(f2(x64701,f2(f1(x64702),x64703))),f2(f1(f2(x64704,x64702)),f2(x64704,x64703)))))),
% 259.06/259.09 inference(scs_inference,[],[46,6456,8])).
% 259.06/259.09 cnf(7497,plain,
% 259.06/259.09 (P2(f2(f1(f2(f1(f2(x74971,f2(x74972,f2(f2(x74973,x74974),f2(x74975,f1(f2(x74974,x74973))))))),f2(f1(x74976),x74977))),f2(f1(f2(x74978,x74976)),f2(x74978,x74977))))),
% 259.06/259.09 inference(scs_inference,[],[5612,6470,8])).
% 259.06/259.09 cnf(7525,plain,
% 259.06/259.09 ($false),
% 259.06/259.09 inference(scs_inference,[],[7497,5520,4174,8]),
% 259.06/259.09 ['proof']).
% 259.06/259.10 % SZS output end Proof
% 259.06/259.10 % Total time :258.400000s
%------------------------------------------------------------------------------