TSTP Solution File: LCL200-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL200-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n026.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 06:48:24 EDT 2023
% Result : Unsatisfiable 35.31s 35.53s
% Output : CNFRefutation 35.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL200-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 17:56:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 35.31/35.52 %-------------------------------------------
% 35.31/35.52 % File :CSE---1.6
% 35.31/35.52 % Problem :theBenchmark
% 35.31/35.52 % Transform :cnf
% 35.31/35.52 % Format :tptp:raw
% 35.31/35.52 % Command :java -jar mcs_scs.jar %d %s
% 35.31/35.52
% 35.31/35.52 % Result :Theorem 34.860000s
% 35.31/35.52 % Output :CNFRefutation 34.860000s
% 35.31/35.52 %-------------------------------------------
% 35.31/35.53 %--------------------------------------------------------------------------
% 35.31/35.53 % File : LCL200-1 : TPTP v8.1.2. Released v1.1.0.
% 35.31/35.53 % Domain : Logic Calculi (Propositional)
% 35.31/35.53 % Problem : Principia Mathematica 2.46
% 35.31/35.53 % Version : [WR27] axioms : Reduced & Augmented.
% 35.31/35.53 % English :
% 35.31/35.53
% 35.31/35.53 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 35.31/35.53 % : [NSS63] Newell et al. (1963), Empirical Explorations with the
% 35.31/35.53 % : [ORo89] O'Rourke (1989), LT Revisited: Explanation-Based Learn
% 35.31/35.53 % : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B
% 35.31/35.53 % Source : [SE94]
% 35.31/35.53 % Names : Problem 2.46 [WR27]
% 35.31/35.53
% 35.31/35.53 % Status : Unsatisfiable
% 35.31/35.53 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.00 v2.0.0
% 35.31/35.53 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 35.31/35.53 % Number of literals : 14 ( 0 equ; 6 neg)
% 35.31/35.53 % Maximal clause size : 3 ( 1 avg)
% 35.31/35.53 % Maximal term depth : 5 ( 2 avg)
% 35.31/35.53 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% 35.31/35.53 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 35.31/35.53 % Number of variables : 17 ( 1 sgn)
% 35.31/35.53 % SPC : CNF_UNS_RFO_NEQ_HRN
% 35.31/35.53
% 35.31/35.53 % Comments : Reduced to use only or and not, and includes a redundant rule
% 35.31/35.53 % of transitivity of implication, and a reduced rule of
% 35.31/35.53 % detachment.
% 35.31/35.53 %--------------------------------------------------------------------------
% 35.31/35.53 %----Include axioms of propositional logic
% 35.31/35.53 include('Axioms/LCL003-0.ax').
% 35.31/35.53 %--------------------------------------------------------------------------
% 35.31/35.53 cnf(prove_this,negated_conjecture,
% 35.31/35.53 ~ theorem(or(not(not(or(p,q))),not(q))) ).
% 35.31/35.53
% 35.31/35.53 %--------------------------------------------------------------------------
% 35.31/35.53 %-------------------------------------------
% 35.31/35.53 % Proof found
% 35.31/35.53 % SZS status Theorem for theBenchmark
% 35.31/35.53 % SZS output start Proof
% 35.31/35.54 %ClaNum:9(EqnAxiom:0)
% 35.31/35.54 %VarNum:34(SingletonVarNum:17)
% 35.31/35.54 %MaxLitNum:3
% 35.31/35.54 %MaxfuncDepth:3
% 35.31/35.54 %SharedTerms:8
% 35.31/35.54 %goalClause: 6
% 35.31/35.54 %singleGoalClaCount:1
% 35.31/35.54 [6]~P2(f2(f1(f1(f2(a3,a4))),f1(a4)))
% 35.31/35.54 [2]P1(f2(f1(f2(x21,x21)),x21))
% 35.31/35.54 [1]P1(f2(f1(x11),f2(x12,x11)))
% 35.31/35.54 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 35.31/35.54 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 35.31/35.54 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 35.31/35.54 [7]~P1(x71)+P2(x71)
% 35.31/35.54 [8]P2(x81)+~P2(x82)+~P1(f2(f1(x82),x81))
% 35.31/35.54 [9]~P2(f2(f1(x93),x92))+P2(f2(f1(x91),x92))+~P1(f2(f1(x91),x93))
% 35.31/35.54 %EqnAxiom
% 35.31/35.54
% 35.31/35.54 %-------------------------------------------
% 35.48/35.56 cnf(11,plain,
% 35.48/35.56 (~P2(f1(a4))),
% 35.48/35.56 inference(scs_inference,[],[6,1,7,8])).
% 35.48/35.56 cnf(12,plain,
% 35.48/35.56 (P1(f2(f1(x121),f2(x122,x121)))),
% 35.48/35.56 inference(rename_variables,[],[1])).
% 35.48/35.56 cnf(14,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x141,f1(f2(a3,a4)))),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[6,1,12,7,8,9])).
% 35.48/35.56 cnf(17,plain,
% 35.48/35.56 (P2(f2(f1(f2(x171,x171)),x171))),
% 35.48/35.56 inference(scs_inference,[],[2,7])).
% 35.48/35.56 cnf(21,plain,
% 35.48/35.56 (P2(f2(f1(f2(x211,f2(f2(x211,x212),x212))),f2(x211,x212)))),
% 35.48/35.56 inference(scs_inference,[],[2,4,11,7,8,9])).
% 35.48/35.56 cnf(33,plain,
% 35.48/35.56 (P2(f2(f1(x331),f2(x332,x331)))),
% 35.48/35.56 inference(scs_inference,[],[1,7])).
% 35.48/35.56 cnf(35,plain,
% 35.48/35.56 (~P2(f2(f1(a4),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[1,2,11,7,8])).
% 35.48/35.56 cnf(38,plain,
% 35.48/35.56 (~P2(f2(f1(f2(f1(f2(a3,a4)),x381)),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[1,3,2,11,14,7,8,9])).
% 35.48/35.56 cnf(48,plain,
% 35.48/35.56 (P2(f2(f1(f2(x481,x481)),f2(x482,x481)))),
% 35.48/35.56 inference(scs_inference,[],[2,5,33,7,9])).
% 35.48/35.56 cnf(55,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x551,a4)),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[17,14,11,35,1,7,8,9])).
% 35.48/35.56 cnf(58,plain,
% 35.48/35.56 (P2(f2(f1(f2(x581,x582)),f2(x582,x581)))),
% 35.48/35.56 inference(scs_inference,[],[3,7])).
% 35.48/35.56 cnf(61,plain,
% 35.48/35.56 (P2(f2(f1(f2(x611,x611)),x611))),
% 35.48/35.56 inference(rename_variables,[],[17])).
% 35.48/35.56 cnf(64,plain,
% 35.48/35.56 (P2(f2(f1(f2(f2(x641,x641),f2(x641,x641))),x641))),
% 35.48/35.56 inference(scs_inference,[],[3,17,61,2,7,8,9])).
% 35.48/35.56 cnf(82,plain,
% 35.48/35.56 (P2(f2(f1(f2(f2(f2(x821,x822),x822),x821)),f2(x821,x822)))),
% 35.48/35.56 inference(scs_inference,[],[21,14,3,7,9])).
% 35.48/35.56 cnf(84,plain,
% 35.48/35.56 (P1(f2(f1(f2(x841,x842)),f2(x842,x841)))),
% 35.48/35.56 inference(rename_variables,[],[3])).
% 35.48/35.56 cnf(86,plain,
% 35.48/35.56 (~P2(f2(f1(a4),f1(f2(x861,a4))))),
% 35.48/35.56 inference(scs_inference,[],[21,14,55,3,84,7,9,8])).
% 35.48/35.56 cnf(94,plain,
% 35.48/35.56 (~P2(f1(f2(x941,a4)))),
% 35.48/35.56 inference(scs_inference,[],[86,1,8])).
% 35.48/35.56 cnf(102,plain,
% 35.48/35.56 (P2(f2(f1(f2(f2(x1021,x1021),f2(x1021,x1021))),f2(x1022,x1021)))),
% 35.48/35.56 inference(scs_inference,[],[48,2,9])).
% 35.48/35.56 cnf(119,plain,
% 35.48/35.56 (P2(f2(f1(f2(x1191,f2(f2(x1191,x1191),x1191))),f2(x1192,x1191)))),
% 35.48/35.56 inference(scs_inference,[],[102,94,4,2,8,9])).
% 35.48/35.56 cnf(130,plain,
% 35.48/35.56 (~P2(f2(f2(f1(a4),f1(a4)),f2(f1(a4),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[35,2,8])).
% 35.48/35.56 cnf(133,plain,
% 35.48/35.56 (P2(f2(f1(f2(x1331,f1(x1332))),f2(f1(f2(x1333,x1332)),f2(x1333,x1331))))),
% 35.48/35.56 inference(scs_inference,[],[5,3,7,9])).
% 35.48/35.56 cnf(134,plain,
% 35.48/35.56 (~P2(f2(f1(a4),f2(f2(f1(a4),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[130,4,8])).
% 35.48/35.56 cnf(139,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x1391,a4)),f1(f2(x1392,a4))))),
% 35.48/35.56 inference(scs_inference,[],[38,130,86,4,1,8,7,9])).
% 35.48/35.56 cnf(150,plain,
% 35.48/35.56 (~P2(f2(f1(f2(a4,x1501)),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[33,55,3,8,9])).
% 35.48/35.56 cnf(171,plain,
% 35.48/35.56 (~P2(f2(f2(f1(a4),f1(a4)),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[134,1,8])).
% 35.48/35.56 cnf(197,plain,
% 35.48/35.56 (~P2(f2(f2(f1(f2(x1971,a4)),f1(a4)),f2(f1(f2(x1971,a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[55,2,8])).
% 35.48/35.56 cnf(200,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x2001,f2(x2002,a4))),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[55,1,2,8,9])).
% 35.48/35.56 cnf(216,plain,
% 35.48/35.56 (P2(f2(f1(x2161),f2(x2161,x2162)))),
% 35.48/35.56 inference(scs_inference,[],[55,64,82,5,1,8,7,9])).
% 35.48/35.56 cnf(221,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x2211,a4)),f2(f2(f1(f2(x2211,a4)),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[197,4,8])).
% 35.48/35.56 cnf(227,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x2271,f2(x2272,a4))),f2(f2(f1(f2(x2272,a4)),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[58,171,221,1,8,9])).
% 35.48/35.56 cnf(231,plain,
% 35.48/35.56 (P2(f2(f2(x2311,x2312),f1(f2(x2312,x2311))))),
% 35.48/35.56 inference(scs_inference,[],[58,3,8])).
% 35.48/35.56 cnf(241,plain,
% 35.48/35.56 (P2(f2(f1(f1(x2411)),f2(f1(f2(x2412,x2411)),f2(x2412,x2413))))),
% 35.48/35.56 inference(scs_inference,[],[133,227,1,4,8,9])).
% 35.48/35.56 cnf(277,plain,
% 35.48/35.56 (~P2(f2(f2(f1(f2(x2771,a4)),f1(a4)),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[221,1,8])).
% 35.48/35.56 cnf(291,plain,
% 35.48/35.56 (~P2(f2(f1(a4),f2(f1(f2(x2911,a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[277,3,8])).
% 35.48/35.56 cnf(359,plain,
% 35.48/35.56 (P2(f2(f1(f2(x3591,x3592)),f2(f1(f2(x3593,f1(x3592))),f2(x3591,x3593))))),
% 35.48/35.56 inference(scs_inference,[],[133,134,119,4,9,8])).
% 35.48/35.56 cnf(363,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x3631,a4)),f2(f2(f1(a4),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[134,1,9])).
% 35.48/35.56 cnf(366,plain,
% 35.48/35.56 (~P2(f2(f2(f2(f1(a4),f1(a4)),f1(a4)),f2(f2(f1(a4),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[134,171,2,1,9,8])).
% 35.48/35.56 cnf(416,plain,
% 35.48/35.56 (~P2(f2(f1(f2(a4,x4161)),f1(f2(x4162,a4))))),
% 35.48/35.56 inference(scs_inference,[],[139,3,9])).
% 35.48/35.56 cnf(434,plain,
% 35.48/35.56 (~P2(f2(f2(f1(a4),f1(a4)),f2(f2(f2(f1(a4),f1(a4)),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[366,4,8])).
% 35.48/35.56 cnf(437,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x4371,f2(a4,x4372))),f1(f2(x4373,a4))))),
% 35.48/35.56 inference(scs_inference,[],[366,416,1,4,8,9])).
% 35.48/35.56 cnf(456,plain,
% 35.48/35.56 (~P2(f2(f2(f1(f2(a4,x4561)),f1(a4)),f2(f1(f2(a4,x4561)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[150,2,8])).
% 35.48/35.56 cnf(459,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x4591,f2(x4592,f2(x4593,a4)))),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[150,200,1,2,8,9])).
% 35.48/35.56 cnf(513,plain,
% 35.48/35.56 (~P2(f2(f1(f2(f2(x5131,a4),x5132)),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[200,3,9])).
% 35.48/35.56 cnf(544,plain,
% 35.48/35.56 (P2(f2(f2(x5441,x5442),f1(x5441)))),
% 35.48/35.56 inference(scs_inference,[],[216,3,8])).
% 35.48/35.56 cnf(558,plain,
% 35.48/35.56 (P1(f2(f1(f2(x5581,x5582)),f2(x5582,x5581)))),
% 35.48/35.56 inference(rename_variables,[],[3])).
% 35.48/35.56 cnf(560,plain,
% 35.48/35.56 (~P2(f2(f1(f2(f2(x5601,a4),x5602)),f2(f2(f1(f2(x5601,a4)),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[200,227,3,558,7,8,9])).
% 35.48/35.56 cnf(568,plain,
% 35.48/35.56 (P2(f2(f1(x5681),f2(f2(x5682,x5681),x5683)))),
% 35.48/35.56 inference(scs_inference,[],[231,216,11,1,8,9])).
% 35.48/35.56 cnf(593,plain,
% 35.48/35.56 (P2(f2(f1(f2(x5931,x5931)),f2(x5931,x5932)))),
% 35.48/35.56 inference(scs_inference,[],[216,241,2,3,8,9])).
% 35.48/35.56 cnf(647,plain,
% 35.48/35.56 (~P2(f2(f1(f2(a4,x6471)),f2(f2(f1(f2(a4,x6471)),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[456,4,8])).
% 35.48/35.56 cnf(689,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x6891,a4)),f2(f1(a4),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[291,4,8])).
% 35.48/35.56 cnf(692,plain,
% 35.48/35.56 (P2(f2(f1(f2(f2(x6921,x6921),f2(x6921,x6921))),f2(x6921,x6922)))),
% 35.48/35.56 inference(scs_inference,[],[291,593,2,4,8,9])).
% 35.48/35.56 cnf(703,plain,
% 35.48/35.56 (P1(f2(f1(f2(x7031,x7032)),f2(x7032,x7031)))),
% 35.48/35.56 inference(rename_variables,[],[3])).
% 35.48/35.56 cnf(705,plain,
% 35.48/35.56 (~P2(f2(f1(f2(a4,x7051)),f2(f1(a4),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[434,689,3,703,8,9])).
% 35.48/35.56 cnf(832,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x8321,f2(x8322,a4))),f2(f2(f1(a4),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[363,1,9])).
% 35.48/35.56 cnf(854,plain,
% 35.48/35.56 (~P2(f2(f1(f2(f2(x8541,a4),x8542)),f2(f2(f1(a4),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[366,832,3,7,9])).
% 35.48/35.56 cnf(859,plain,
% 35.48/35.56 (P2(f2(f1(f2(x8591,x8592)),f2(f1(f2(x8593,f1(x8591))),f2(x8592,x8593))))),
% 35.48/35.56 inference(scs_inference,[],[359,3,9])).
% 35.48/35.56 cnf(987,plain,
% 35.48/35.56 (~P2(f2(f1(a4),f2(f1(a4),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[437,705,2,7,9])).
% 35.48/35.56 cnf(996,plain,
% 35.48/35.56 (~P2(f2(f1(f2(f2(x9961,f2(x9962,a4)),x9963)),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[459,3,9])).
% 35.48/35.56 cnf(1005,plain,
% 35.48/35.56 (P1(f2(f1(f2(x10051,f2(x10052,x10053))),f2(x10052,f2(x10051,x10053))))),
% 35.48/35.56 inference(rename_variables,[],[4])).
% 35.48/35.56 cnf(1007,plain,
% 35.48/35.56 (P2(f2(f1(f2(x10071,f2(f2(x10071,x10071),x10071))),f2(x10071,x10072)))),
% 35.48/35.56 inference(scs_inference,[],[859,692,4,1005,8,9])).
% 35.48/35.56 cnf(1103,plain,
% 35.48/35.56 (~P2(f2(f1(a4),f1(f2(f2(x11031,a4),x11032))))),
% 35.48/35.56 inference(scs_inference,[],[513,3,8])).
% 35.48/35.56 cnf(1109,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x11091,a4)),f1(f2(f2(x11092,a4),x11093))))),
% 35.48/35.56 inference(scs_inference,[],[1103,1,9])).
% 35.48/35.56 cnf(1154,plain,
% 35.48/35.56 (P2(f2(x11541,f2(f2(x11542,x11543),f1(x11542))))),
% 35.48/35.56 inference(scs_inference,[],[544,1,8])).
% 35.48/35.56 cnf(1167,plain,
% 35.48/35.56 (P2(f2(f1(f2(x11671,x11671)),f2(f2(x11672,x11671),x11673)))),
% 35.48/35.56 inference(scs_inference,[],[568,560,2,4,8,9])).
% 35.48/35.56 cnf(1411,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x14111,a4)),f2(f2(f1(f2(a4,x14111)),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[647,3,9])).
% 35.48/35.56 cnf(1745,plain,
% 35.48/35.56 (~P2(f2(f2(f1(a4),f1(a4)),f2(f1(f2(f2(x17451,a4),x17452)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[854,4,8])).
% 35.48/35.56 cnf(1917,plain,
% 35.48/35.56 (~P2(f2(f2(f1(f2(f2(x19171,a4),x19172)),f1(a4)),f2(f1(a4),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[996,1007,987,1745,3,7,9,8])).
% 35.48/35.56 cnf(1921,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x19211,f2(x19212,a4))),f2(f2(f1(f2(a4,x19212)),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[1411,1,9])).
% 35.48/35.56 cnf(2038,plain,
% 35.48/35.56 (~P2(f2(f1(f2(x20381,f2(x20382,a4))),f2(f2(f1(f2(a4,x20381)),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[1921,4,9])).
% 35.48/35.56 cnf(2071,plain,
% 35.48/35.56 (~P2(f2(f1(a4),f2(f2(f1(f2(f2(x20711,a4),x20712)),f1(a4)),f1(a4))))),
% 35.48/35.56 inference(scs_inference,[],[1109,1917,2038,1167,4,7,9,8])).
% 35.48/35.56 cnf(2168,plain,
% 35.48/35.56 (P2(f2(f2(x21681,x21682),f2(x21683,f1(x21681))))),
% 35.48/35.56 inference(scs_inference,[],[1154,4,8])).
% 35.48/35.56 cnf(3168,plain,
% 35.48/35.56 (P2(f2(x31681,f1(x31681)))),
% 35.48/35.56 inference(scs_inference,[],[2168,2,8])).
% 35.48/35.56 cnf(3184,plain,
% 35.48/35.56 (P2(f2(f1(x31841),f1(f1(f2(x31842,x31841)))))),
% 35.48/35.56 inference(scs_inference,[],[3168,1,9])).
% 35.48/35.56 cnf(3198,plain,
% 35.48/35.56 (~P2(f2(f2(f2(f1(f2(f2(x31981,a4),x31982)),f1(a4)),f1(a4)),f1(a4)))),
% 35.48/35.56 inference(scs_inference,[],[2071,3,8])).
% 35.48/35.56 cnf(4348,plain,
% 35.48/35.56 ($false),
% 35.48/35.56 inference(scs_inference,[],[3184,3198,6,3,7,8]),
% 35.48/35.56 ['proof']).
% 35.48/35.56 % SZS output end Proof
% 35.48/35.56 % Total time :34.860000s
%------------------------------------------------------------------------------