TSTP Solution File: LCL056-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL056-1 : 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 : n002.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 06:47:48 EDT 2023
% Result : Unsatisfiable 194.73s 195.16s
% Output : CNFRefutation 194.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL056-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 17:24:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 194.64/195.11 %-------------------------------------------
% 194.64/195.11 % File :CSE---1.6
% 194.64/195.11 % Problem :theBenchmark
% 194.64/195.11 % Transform :cnf
% 194.64/195.11 % Format :tptp:raw
% 194.64/195.11 % Command :java -jar mcs_scs.jar %d %s
% 194.64/195.11
% 194.64/195.11 % Result :Theorem 194.090000s
% 194.64/195.11 % Output :CNFRefutation 194.090000s
% 194.64/195.11 %-------------------------------------------
% 194.73/195.16 %--------------------------------------------------------------------------
% 194.73/195.16 % File : LCL056-1 : TPTP v8.1.2. Released v1.0.0.
% 194.73/195.16 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 194.73/195.16 % Problem : CN-39 depends on the Lukasiewicz system
% 194.73/195.16 % Version : [McC92] axioms.
% 194.73/195.16 % English : Axiomatisations of the Implication/Negation 2 valued
% 194.73/195.16 % sentential calculus are {CN-1,CN-2,CN-3} by Lukasiewicz,
% 194.73/195.16 % {CN-18,CN-21,CN-35,CN-39,CN-39,CN-40,CN-46} by Frege,
% 194.73/195.16 % {CN-3,CN-18,CN-21,CN-22,CN-30,CN-54} by Hilbert, {CN-18,
% 194.73/195.16 % CN-35,CN-49} by Church, {CN-19,CN-37,CN-59} by Lukasiewicz,
% 194.73/195.16 % {CN-19,CN-37,CN-60} by Wos, and the single Meredith axiom.
% 194.73/195.16 % Show that CN-39 depends on the short Lukasiewicz system.
% 194.73/195.16
% 194.73/195.16 % Refs : [Wos96] Wos (1996), The Power of Combining Resonance with Heat
% 194.73/195.16 % : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 194.73/195.16 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 194.73/195.16 % Source : [McC92]
% 194.73/195.16 % Names : thesis_39 [Wos96]
% 194.73/195.16 % : CN-17 [MW92]
% 194.73/195.16
% 194.73/195.16 % Status : Unsatisfiable
% 194.73/195.16 % Rating : 0.00 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.19 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.25 v5.0.0, 0.27 v4.0.1, 0.00 v3.1.0, 0.17 v2.7.0, 0.25 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.00 v2.3.0, 0.14 v2.2.1, 0.56 v2.1.0, 0.88 v2.0.0
% 194.73/195.16 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 194.73/195.16 % Number of literals : 7 ( 0 equ; 3 neg)
% 194.73/195.16 % Maximal clause size : 3 ( 1 avg)
% 194.73/195.16 % Maximal term depth : 4 ( 2 avg)
% 194.73/195.16 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 194.73/195.16 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 194.73/195.16 % Number of variables : 8 ( 1 sgn)
% 194.73/195.16 % SPC : CNF_UNS_RFO_NEQ_HRN
% 194.73/195.16
% 194.73/195.16 % Comments :
% 194.73/195.16 %--------------------------------------------------------------------------
% 194.73/195.16 cnf(condensed_detachment,axiom,
% 194.73/195.16 ( ~ is_a_theorem(implies(X,Y))
% 194.73/195.16 | ~ is_a_theorem(X)
% 194.73/195.16 | is_a_theorem(Y) ) ).
% 194.73/195.16
% 194.73/195.16 cnf(cn_1,axiom,
% 194.73/195.16 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 194.73/195.16
% 194.73/195.16 cnf(cn_2,axiom,
% 194.73/195.16 is_a_theorem(implies(implies(not(X),X),X)) ).
% 194.73/195.16
% 194.73/195.16 cnf(cn_3,axiom,
% 194.73/195.16 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 194.73/195.16
% 194.73/195.16 cnf(prove_cn_39,negated_conjecture,
% 194.73/195.16 ~ is_a_theorem(implies(not(not(a)),a)) ).
% 194.73/195.16
% 194.73/195.16 %--------------------------------------------------------------------------
% 194.73/195.16 %-------------------------------------------
% 194.73/195.16 % Proof found
% 194.73/195.16 % SZS status Theorem for theBenchmark
% 194.73/195.16 % SZS output start Proof
% 194.80/195.21 %ClaNum:5(EqnAxiom:0)
% 194.80/195.21 %VarNum:16(SingletonVarNum:8)
% 194.80/195.21 %MaxLitNum:3
% 194.80/195.21 %MaxfuncDepth:3
% 194.80/195.21 %SharedTerms:5
% 194.80/195.21 %goalClause: 4
% 194.80/195.21 %singleGoalClaCount:1
% 194.80/195.21 [4]~P1(f2(f1(f1(a3)),a3))
% 194.80/195.21 [2]P1(f2(f2(f1(x21),x21),x21))
% 194.80/195.21 [1]P1(f2(x11,f2(f1(x11),x12)))
% 194.80/195.21 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 194.80/195.21 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 194.80/195.21 %EqnAxiom
% 194.80/195.21
% 194.80/195.21 %-------------------------------------------
% 194.85/195.27 cnf(9,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(x91),x92),x93),f2(x91,x93)))),
% 194.85/195.27 inference(scs_inference,[],[1,3,5])).
% 194.85/195.27 cnf(18,plain,
% 194.85/195.27 (P1(f2(x181,x181))),
% 194.85/195.27 inference(scs_inference,[],[9,2,5])).
% 194.85/195.27 cnf(24,plain,
% 194.85/195.27 (P1(f2(f1(f2(x241,x241)),x242))),
% 194.85/195.27 inference(scs_inference,[],[18,1,5])).
% 194.85/195.27 cnf(85,plain,
% 194.85/195.27 (P1(f2(f1(f2(f2(x851,x852),f2(f2(x852,x853),f2(x851,x853)))),x854))),
% 194.85/195.27 inference(scs_inference,[],[1,3,5])).
% 194.85/195.27 cnf(88,plain,
% 194.85/195.27 (P1(f2(f1(f2(f2(f1(x881),x881),x881)),x882))),
% 194.85/195.27 inference(scs_inference,[],[1,2,5])).
% 194.85/195.27 cnf(95,plain,
% 194.85/195.27 (P1(f2(f2(x951,x952),f2(f1(f2(x953,x953)),x952)))),
% 194.85/195.27 inference(scs_inference,[],[3,24,5])).
% 194.85/195.27 cnf(99,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f2(x991,x991)),x992),x993),f2(f2(x994,x992),x993)))),
% 194.85/195.27 inference(scs_inference,[],[3,95,5])).
% 194.85/195.27 cnf(102,plain,
% 194.85/195.27 (P1(f2(f2(x1021,x1022),f2(f2(x1022,x1023),f2(f1(f2(x1024,x1024)),x1023))))),
% 194.85/195.27 inference(scs_inference,[],[3,99,5])).
% 194.85/195.27 cnf(106,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(x1061,x1062),f2(f1(f2(x1063,x1063)),x1062)),x1064),f2(f2(x1065,x1061),x1064)))),
% 194.85/195.27 inference(scs_inference,[],[3,102,5])).
% 194.85/195.27 cnf(109,plain,
% 194.85/195.27 (P1(f2(f2(x1091,x1092),f2(f2(f2(f1(f2(x1093,x1093)),x1094),x1095),f2(f2(x1092,x1094),x1095))))),
% 194.85/195.27 inference(scs_inference,[],[3,106,5])).
% 194.85/195.27 cnf(113,plain,
% 194.85/195.27 (P1(f2(f2(f2(x1131,x1132),x1133),f2(f2(f2(f1(x1131),x1134),x1132),x1133)))),
% 194.85/195.27 inference(scs_inference,[],[3,9,5])).
% 194.85/195.27 cnf(116,plain,
% 194.85/195.27 (P1(f2(f2(x1161,x1162),f2(f2(f1(x1161),x1161),x1162)))),
% 194.85/195.27 inference(scs_inference,[],[3,2,5])).
% 194.85/195.27 cnf(120,plain,
% 194.85/195.27 (P1(f2(f2(f1(f2(x1201,x1202)),f2(x1201,x1202)),f2(f2(x1202,x1203),f2(x1201,x1203))))),
% 194.85/195.27 inference(scs_inference,[],[3,116,5])).
% 194.85/195.27 cnf(123,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(x1231,x1232),f2(x1233,x1232)),x1234),f2(f2(x1233,x1231),x1234)))),
% 194.85/195.27 inference(scs_inference,[],[120,85,5])).
% 194.85/195.27 cnf(127,plain,
% 194.85/195.27 (P1(f2(f2(x1271,x1272),f2(f2(f2(f1(x1272),x1273),x1274),f2(x1271,x1274))))),
% 194.85/195.27 inference(scs_inference,[],[123,113,5])).
% 194.85/195.27 cnf(131,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f2(f1(x1311),x1312)),x1313),x1314),f2(x1311,x1314)))),
% 194.85/195.27 inference(scs_inference,[],[127,1,5])).
% 194.85/195.27 cnf(135,plain,
% 194.85/195.27 (P1(f2(x1351,f2(f2(f2(f1(f2(x1352,x1352)),x1353),x1354),f2(f2(x1355,x1353),x1354))))),
% 194.85/195.27 inference(scs_inference,[],[131,109,5])).
% 194.85/195.27 cnf(147,plain,
% 194.85/195.27 (P1(f2(x1471,f2(f2(f1(f1(x1471)),f1(x1471)),x1472)))),
% 194.85/195.27 inference(scs_inference,[],[9,116,5])).
% 194.85/195.27 cnf(163,plain,
% 194.85/195.27 (P1(f2(x1631,f2(f2(x1632,x1633),f2(f1(x1631),x1633))))),
% 194.85/195.27 inference(scs_inference,[],[9,3,5])).
% 194.85/195.27 cnf(167,plain,
% 194.85/195.27 (P1(f2(f2(f1(f1(f2(x1671,x1671))),f1(f2(x1671,x1671))),x1672))),
% 194.85/195.27 inference(scs_inference,[],[147,18,5])).
% 194.85/195.27 cnf(178,plain,
% 194.85/195.27 (P1(f2(f2(x1781,f2(x1782,x1782)),f2(x1782,x1782)))),
% 194.85/195.27 inference(scs_inference,[],[99,2,5])).
% 194.85/195.27 cnf(190,plain,
% 194.85/195.27 (P1(f2(f2(x1901,x1902),f2(f2(f1(f2(x1902,x1903)),f2(x1902,x1903)),f2(f1(f2(x1904,x1904)),x1903))))),
% 194.85/195.27 inference(scs_inference,[],[106,116,5])).
% 194.85/195.27 cnf(194,plain,
% 194.85/195.27 (P1(f2(f2(x1941,f1(x1942)),f2(x1942,f2(f1(f2(x1943,x1943)),x1944))))),
% 194.85/195.27 inference(scs_inference,[],[106,9,5])).
% 194.85/195.27 cnf(202,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f1(f2(x2021,x2022))),x2023),f2(x2021,x2022)),f2(f2(x2022,x2024),f2(x2021,x2024))))),
% 194.85/195.27 inference(scs_inference,[],[113,120,5])).
% 194.85/195.27 cnf(205,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f2(f2(x2051,x2052),f2(x2053,x2052))),x2054),x2055),f2(f2(x2053,x2051),x2055)))),
% 194.85/195.27 inference(scs_inference,[],[113,123,5])).
% 194.85/195.27 cnf(213,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(x2131),x2132),x2133),f2(f2(f1(x2131),x2131),x2133)))),
% 194.85/195.27 inference(scs_inference,[],[113,116,5])).
% 194.85/195.27 cnf(221,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f1(x2211)),x2212),x2211),x2211))),
% 194.85/195.27 inference(scs_inference,[],[113,2,5])).
% 194.85/195.27 cnf(225,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(x2251),x2252),x2253),f2(f2(x2253,x2254),f2(x2251,x2254))))),
% 194.85/195.27 inference(scs_inference,[],[113,3,5])).
% 194.85/195.27 cnf(229,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f2(f1(x2291),x2292)),x2293),x2294),f2(f2(x2294,x2295),f2(x2291,x2295))))),
% 194.85/195.27 inference(scs_inference,[],[113,225,5])).
% 194.85/195.27 cnf(233,plain,
% 194.85/195.27 (P1(f2(f2(f1(f2(x2331,f2(x2332,x2332))),f2(x2331,f2(x2332,x2332))),f2(x2332,x2332)))),
% 194.85/195.27 inference(scs_inference,[],[116,178,5])).
% 194.85/195.27 cnf(243,plain,
% 194.85/195.27 (P1(f2(f2(f1(x2431),x2431),f2(f2(f1(f1(x2431)),f1(x2431)),x2432)))),
% 194.85/195.27 inference(scs_inference,[],[116,147,5])).
% 194.85/195.27 cnf(247,plain,
% 194.85/195.27 (P1(f2(f2(f1(f2(f1(x2471),x2471)),f2(f1(x2471),x2471)),f2(f2(f1(f1(x2471)),f1(x2471)),x2472)))),
% 194.85/195.27 inference(scs_inference,[],[116,243,5])).
% 194.85/195.27 cnf(253,plain,
% 194.85/195.27 (P1(f2(f2(f1(x2531),x2531),f2(f2(x2532,x2533),f2(f1(x2531),x2533))))),
% 194.85/195.27 inference(scs_inference,[],[116,163,5])).
% 194.85/195.27 cnf(257,plain,
% 194.85/195.27 (P1(f2(f2(f1(f2(f1(x2571),x2571)),f2(f1(x2571),x2571)),f2(f2(x2572,x2573),f2(f1(x2571),x2573))))),
% 194.85/195.27 inference(scs_inference,[],[116,253,5])).
% 194.85/195.27 cnf(260,plain,
% 194.85/195.27 (P1(f2(f2(f1(f2(f1(f2(x2601,x2602)),f2(x2601,x2602))),f2(f1(f2(x2601,x2602)),f2(x2601,x2602))),f2(f2(x2602,x2603),f2(x2601,x2603))))),
% 194.85/195.27 inference(scs_inference,[],[116,120,5])).
% 194.85/195.27 cnf(263,plain,
% 194.85/195.27 (P1(f2(f2(x2631,x2632),f2(f2(f2(x2631,x2633),x2634),f2(f2(x2632,x2633),x2634))))),
% 194.85/195.27 inference(scs_inference,[],[120,205,5])).
% 194.85/195.27 cnf(278,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f2(x2781,x2781)),x2782),x2783),f2(f2(f1(f2(x2784,x2782)),f2(x2784,x2782)),x2783)))),
% 194.85/195.27 inference(scs_inference,[],[202,190,5])).
% 194.85/195.27 cnf(282,plain,
% 194.85/195.27 (P1(f2(f2(f1(f2(x2821,f2(f2(x2822,x2822),f2(x2822,x2822)))),f2(x2821,f2(f2(x2822,x2822),f2(x2822,x2822)))),f2(x2822,x2822)))),
% 194.85/195.27 inference(scs_inference,[],[278,233,5])).
% 194.85/195.27 cnf(313,plain,
% 194.85/195.27 (P1(f2(f2(x3131,f1(f1(f2(x3131,x3132)))),f2(x3131,x3132)))),
% 194.85/195.27 inference(scs_inference,[],[123,221,5])).
% 194.85/195.27 cnf(345,plain,
% 194.85/195.27 (P1(f2(x3451,f2(x3452,f2(f1(f2(x3453,x3453)),x3454))))),
% 194.85/195.27 inference(scs_inference,[],[131,194,5])).
% 194.85/195.27 cnf(353,plain,
% 194.85/195.27 (P1(f2(x3531,f2(x3532,x3532)))),
% 194.85/195.27 inference(scs_inference,[],[131,282,5])).
% 194.85/195.27 cnf(369,plain,
% 194.85/195.27 (P1(f2(f2(x3691,x3692),f2(f1(f2(x3693,f2(x3694,x3694))),x3692)))),
% 194.85/195.27 inference(scs_inference,[],[163,353,5])).
% 194.85/195.27 cnf(375,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f2(x3751,x3751)),x3752),x3753),f2(x3754,x3753)))),
% 194.85/195.27 inference(scs_inference,[],[202,345,5])).
% 194.85/195.27 cnf(379,plain,
% 194.85/195.27 (P1(f2(f2(x3791,x3792),f2(f1(f2(f2(x3792,x3793),f2(x3791,x3793))),x3794)))),
% 194.85/195.27 inference(scs_inference,[],[205,313,5])).
% 194.85/195.27 cnf(383,plain,
% 194.85/195.27 (P1(f2(f2(x3831,x3832),f2(f1(f2(x3833,f2(x3834,x3834))),x3835)))),
% 194.85/195.27 inference(scs_inference,[],[205,369,5])).
% 194.85/195.27 cnf(391,plain,
% 194.85/195.27 (P1(f2(f2(f1(x3911),x3911),f2(f1(x3911),x3912)))),
% 194.85/195.27 inference(scs_inference,[],[213,313,5])).
% 194.85/195.27 cnf(395,plain,
% 194.85/195.27 (P1(f2(f2(f1(x3951),x3951),f2(f2(f2(f1(x3951),x3952),x3953),f2(f2(x3954,x3952),x3953))))),
% 194.85/195.27 inference(scs_inference,[],[213,263,5])).
% 194.85/195.27 cnf(417,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(x4171,x4172),f2(f1(x4173),x4172)),x4174),f2(f2(f1(x4173),x4173),x4174)))),
% 194.85/195.27 inference(scs_inference,[],[225,257,5])).
% 194.85/195.27 cnf(420,plain,
% 194.85/195.27 (P1(f2(f2(f1(x4201),x4201),f2(x4202,f2(f1(x4201),x4203))))),
% 194.85/195.27 inference(scs_inference,[],[375,417,5])).
% 194.85/195.27 cnf(424,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(f1(x4241),x4242),x4243),f2(f2(x4244,x4242),x4243)),x4245),f2(x4241,x4245)))),
% 194.85/195.27 inference(scs_inference,[],[225,395,5])).
% 194.85/195.27 cnf(432,plain,
% 194.85/195.27 (P1(f2(f2(f2(x4321,f2(f1(x4322),x4323)),x4324),f2(x4322,x4324)))),
% 194.85/195.27 inference(scs_inference,[],[225,420,5])).
% 194.85/195.27 cnf(436,plain,
% 194.85/195.27 (P1(f2(x4361,f2(f2(f2(f1(x4361),x4362),x4363),f2(x4364,x4363))))),
% 194.85/195.27 inference(scs_inference,[],[225,432,5])).
% 194.85/195.27 cnf(440,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(f1(f2(x4401,x4401)),x4402),x4403),f2(f2(x4404,x4402),x4403)),x4405),f2(x4406,x4405)))),
% 194.85/195.27 inference(scs_inference,[],[225,135,5])).
% 194.85/195.27 cnf(448,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f2(x4481,f2(x4482,x4482))),x4483),x4484),f2(x4485,x4484)))),
% 194.85/195.27 inference(scs_inference,[],[229,383,5])).
% 194.85/195.27 cnf(452,plain,
% 194.85/195.27 (P1(f2(x4521,f2(x4522,f2(f2(x4523,x4524),f2(f1(x4522),x4525)))))),
% 194.85/195.27 inference(scs_inference,[],[440,432,5])).
% 194.85/195.27 cnf(456,plain,
% 194.85/195.27 (P1(f2(f2(f2(x4561,f2(f2(x4562,x4563),f2(f1(x4561),x4564))),x4565),f2(x4566,x4565)))),
% 194.85/195.27 inference(scs_inference,[],[229,452,5])).
% 194.85/195.27 cnf(460,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f1(f1(x4601)),f1(x4601)),x4602),x4603),f2(x4601,x4603)))),
% 194.85/195.27 inference(scs_inference,[],[229,247,5])).
% 194.85/195.27 cnf(464,plain,
% 194.85/195.27 (P1(f2(f2(f2(x4641,f2(f1(f2(x4642,x4642)),x4643)),x4644),f2(x4645,x4644)))),
% 194.85/195.27 inference(scs_inference,[],[229,345,5])).
% 194.85/195.27 cnf(468,plain,
% 194.85/195.27 (P1(f2(x4681,f2(f1(f2(x4682,f2(x4683,x4683))),x4684)))),
% 194.85/195.27 inference(scs_inference,[],[448,391,5])).
% 194.85/195.27 cnf(484,plain,
% 194.85/195.27 (P1(f2(f2(f2(x4841,x4841),x4842),f2(x4843,x4842)))),
% 194.85/195.27 inference(scs_inference,[],[260,468,5])).
% 194.85/195.27 cnf(488,plain,
% 194.85/195.27 (P1(f2(f2(f2(f1(f2(f2(f2(x4881,x4881),x4882),f2(x4883,x4882))),x4884),x4885),f2(x4886,x4885)))),
% 194.85/195.27 inference(scs_inference,[],[484,436,5])).
% 194.85/195.27 cnf(491,plain,
% 194.85/195.27 (P1(f2(x4911,f2(f1(f2(f2(f2(x4912,x4912),x4913),f2(x4914,x4913))),x4915)))),
% 194.85/195.27 inference(scs_inference,[],[488,313,5])).
% 194.85/195.27 cnf(495,plain,
% 194.85/195.27 (P1(f2(f2(f2(x4951,x4952),x4953),f2(f2(f2(x4954,x4954),x4952),x4953)))),
% 194.85/195.27 inference(scs_inference,[],[260,491,5])).
% 194.85/195.27 cnf(499,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(x4991,x4991),x4992),x4993),x4994),f2(f2(f2(x4995,x4992),x4993),x4994)))),
% 194.85/195.27 inference(scs_inference,[],[263,484,5])).
% 194.85/195.27 cnf(502,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f1(x5021),x5021),x5022),x5023),f2(f2(x5021,x5022),x5023)))),
% 194.85/195.27 inference(scs_inference,[],[263,2,5])).
% 194.85/195.27 cnf(506,plain,
% 194.85/195.27 (P1(f2(f2(x5061,x5062),f2(f2(f2(f2(f1(x5061),x5061),x5063),x5064),f2(f2(x5062,x5063),x5064))))),
% 194.85/195.27 inference(scs_inference,[],[263,502,5])).
% 194.85/195.27 cnf(510,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(x5101,x5102),x5103),x5104),f2(f2(f2(f2(x5102,x5105),f2(x5101,x5105)),x5103),x5104)))),
% 194.85/195.27 inference(scs_inference,[],[263,3,5])).
% 194.85/195.27 cnf(537,plain,
% 194.85/195.27 (P1(f2(f1(f2(f2(f2(f2(f1(f1(x5371)),f1(x5371)),x5372),x5373),f2(x5371,x5373))),x5374))),
% 194.85/195.27 inference(scs_inference,[],[379,147,5])).
% 194.85/195.27 cnf(549,plain,
% 194.85/195.27 (P1(f2(f1(f2(f2(f2(f2(x5491,x5492),f2(x5493,x5492)),x5494),f2(f2(x5493,x5491),x5494))),x5495))),
% 194.85/195.27 inference(scs_inference,[],[379,3,5])).
% 194.85/195.27 cnf(588,plain,
% 194.85/195.27 (P1(f2(x5881,f2(f2(x5882,f1(x5881)),f2(f2(x5883,x5884),f2(x5882,x5884)))))),
% 194.85/195.27 inference(scs_inference,[],[424,123,5])).
% 194.85/195.27 cnf(612,plain,
% 194.85/195.27 (P1(f2(x6121,f2(f2(f2(x6122,x6122),x6123),f2(x6124,x6123))))),
% 194.85/195.27 inference(scs_inference,[],[448,120,5])).
% 194.85/195.27 cnf(620,plain,
% 194.85/195.27 (P1(f2(x6201,f2(f2(f2(f2(x6202,x6203),f2(f1(x6204),x6205)),x6206),f2(x6204,x6206))))),
% 194.85/195.27 inference(scs_inference,[],[456,3,5])).
% 194.85/195.27 cnf(640,plain,
% 194.85/195.27 (P1(f2(x6401,f2(f2(f2(f2(f1(x6402),x6402),x6403),x6404),f2(f2(x6402,x6403),x6404))))),
% 194.85/195.27 inference(scs_inference,[],[484,506,5])).
% 194.85/195.27 cnf(656,plain,
% 194.85/195.27 (P1(f2(x6561,f2(f2(f2(f2(x6562,x6563),f2(x6564,x6563)),x6565),f2(f2(x6564,x6562),x6565))))),
% 194.85/195.27 inference(scs_inference,[],[484,510,5])).
% 194.85/195.27 cnf(664,plain,
% 194.85/195.27 (P1(f2(x6641,f2(f2(f2(f1(x6642),x6643),x6644),f2(x6642,x6644))))),
% 194.85/195.27 inference(scs_inference,[],[484,127,5])).
% 194.85/195.27 cnf(672,plain,
% 194.85/195.27 (P1(f2(x6721,f2(f2(f1(x6722),x6722),f2(f1(x6722),x6723))))),
% 194.85/195.27 inference(scs_inference,[],[484,213,5])).
% 194.85/195.27 cnf(676,plain,
% 194.85/195.27 (P1(f2(f2(f2(x6761,x6761),f1(f2(x6762,x6762))),x6763))),
% 194.85/195.27 inference(scs_inference,[],[495,167,5])).
% 194.85/195.27 cnf(716,plain,
% 194.85/195.27 (P1(f2(f2(f2(x7161,f2(x7162,x7162)),f1(f2(x7163,x7163))),x7164))),
% 194.85/195.27 inference(scs_inference,[],[499,676,5])).
% 194.85/195.27 cnf(736,plain,
% 194.85/195.27 (P1(f2(f2(f2(x7361,f2(f1(x7362),x7363)),x7364),f2(f2(f1(x7362),x7362),x7364)))),
% 194.85/195.27 inference(scs_inference,[],[499,417,5])).
% 194.85/195.27 cnf(740,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(x7401,x7401),x7402),f2(x7403,x7402)),x7404),f2(x7405,x7404)))),
% 194.85/195.27 inference(scs_inference,[],[502,488,5])).
% 194.85/195.27 cnf(744,plain,
% 194.85/195.27 (P1(f2(f2(f2(x7441,f2(x7442,x7442)),x7443),f2(x7444,x7443)))),
% 194.85/195.27 inference(scs_inference,[],[502,448,5])).
% 194.85/195.27 cnf(748,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(x7481,x7482),x7483),f2(f2(f2(x7484,x7484),x7482),x7483)),x7485),f2(x7486,x7485)))),
% 194.85/195.27 inference(scs_inference,[],[510,740,5])).
% 194.85/195.27 cnf(752,plain,
% 194.85/195.27 (P1(f2(x7521,f2(f2(f2(f2(x7522,x7523),f2(x7524,x7523)),x7525),f2(f2(f2(x7526,x7526),x7522),x7525))))),
% 194.85/195.27 inference(scs_inference,[],[510,748,5])).
% 194.85/195.27 cnf(756,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(f1(x7561),x7562),x7563),f2(x7564,x7563)),x7565),f2(f2(f1(x7561),x7561),x7565)))),
% 194.85/195.27 inference(scs_inference,[],[510,736,5])).
% 194.85/195.27 cnf(768,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(x7681,x7681),x7682),f2(x7683,x7682)),f1(f2(x7684,x7684))),x7685))),
% 194.85/195.27 inference(scs_inference,[],[510,716,5])).
% 194.85/195.27 cnf(776,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(f1(f2(x7761,x7761)),x7762),x7763),f2(x7764,x7763)),x7765),f2(x7766,x7765)))),
% 194.85/195.27 inference(scs_inference,[],[510,464,5])).
% 194.85/195.27 cnf(796,plain,
% 194.85/195.27 (P1(f2(f2(x7961,f1(f2(f2(f2(f2(f2(x7962,x7962),x7963),f2(x7964,x7963)),x7965),f2(x7966,x7965)))),f2(f2(x7967,x7968),f2(x7961,x7968))))),
% 194.85/195.27 inference(scs_inference,[],[588,740,5])).
% 194.85/195.27 cnf(799,plain,
% 194.85/195.27 (P1(f2(f2(x7991,f1(f2(f2(f2(x7992,f2(x7993,x7993)),x7994),f2(x7995,x7994)))),f2(f2(x7996,x7997),f2(x7991,x7997))))),
% 194.85/195.27 inference(scs_inference,[],[588,744,5])).
% 194.85/195.27 cnf(811,plain,
% 194.85/195.27 (P1(f2(f2(x8111,f1(f2(x8112,x8112))),f2(f2(x8113,x8114),f2(x8111,x8114))))),
% 194.85/195.27 inference(scs_inference,[],[588,18,5])).
% 194.85/195.27 cnf(814,plain,
% 194.85/195.27 (P1(f2(f2(x8141,f1(f2(f2(f2(x8142,x8142),x8143),f2(x8144,x8143)))),f2(f2(x8145,x8146),f2(x8141,x8146))))),
% 194.85/195.27 inference(scs_inference,[],[588,484,5])).
% 194.85/195.27 cnf(817,plain,
% 194.85/195.27 (P1(f2(f2(x8171,f1(f2(f2(f2(f1(x8172),x8173),x8174),f2(x8172,x8174)))),f2(f2(x8175,x8176),f2(x8171,x8176))))),
% 194.85/195.27 inference(scs_inference,[],[588,9,5])).
% 194.85/195.27 cnf(829,plain,
% 194.85/195.27 (P1(f2(f2(x8291,x8292),f2(f2(f2(f2(f2(x8293,x8293),x8294),f2(x8295,x8294)),f1(f2(x8296,x8296))),x8292)))),
% 194.85/195.27 inference(scs_inference,[],[811,768,5])).
% 194.85/195.27 cnf(833,plain,
% 194.85/195.27 (P1(f2(f2(x8331,x8332),f2(f2(f2(x8333,f2(x8334,x8334)),f1(f2(x8335,x8335))),x8332)))),
% 194.85/195.27 inference(scs_inference,[],[814,716,5])).
% 194.85/195.27 cnf(837,plain,
% 194.85/195.27 (P1(f2(x8371,f2(f2(f2(f2(f2(x8372,x8372),x8373),f2(x8374,x8373)),f1(f2(x8375,x8375))),f2(x8376,x8377))))),
% 194.85/195.27 inference(scs_inference,[],[740,829,5])).
% 194.85/195.27 cnf(841,plain,
% 194.85/195.27 (P1(f2(x8411,f2(f2(f2(x8412,f2(x8413,x8413)),f1(f2(x8414,x8414))),f2(x8415,x8416))))),
% 194.85/195.27 inference(scs_inference,[],[740,833,5])).
% 194.85/195.27 cnf(869,plain,
% 194.85/195.27 (P1(f2(x8691,f2(f2(x8692,x8693),f2(f2(f2(x8694,x8694),x8692),x8693))))),
% 194.85/195.27 inference(scs_inference,[],[748,502,5])).
% 194.85/195.27 cnf(877,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(x8771,x8772),f2(x8773,x8772)),x8774),f2(f2(f2(x8775,x8775),x8771),x8774)))),
% 194.85/195.27 inference(scs_inference,[],[752,817,5])).
% 194.85/195.27 cnf(880,plain,
% 194.85/195.27 (P1(f2(f2(f1(f1(x8801)),f1(x8801)),f2(x8801,f2(x8802,x8803))))),
% 194.85/195.27 inference(scs_inference,[],[756,460,5])).
% 194.85/195.27 cnf(884,plain,
% 194.85/195.27 (P1(f2(f2(f1(x8841),x8841),f2(f2(x8841,x8842),f2(x8843,x8842))))),
% 194.85/195.27 inference(scs_inference,[],[756,502,5])).
% 194.85/195.27 cnf(888,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(f2(f1(f1(x8881)),f1(x8881)),x8882),x8883),f2(x8881,x8883)),x8884),f2(x8885,x8884)))),
% 194.85/195.27 inference(scs_inference,[],[884,537,5])).
% 194.85/195.27 cnf(892,plain,
% 194.85/195.27 (P1(f2(x8921,f2(f2(f1(f1(x8922)),f1(x8922)),f2(x8922,f2(x8923,x8924)))))),
% 194.85/195.27 inference(scs_inference,[],[756,888,5])).
% 194.85/195.27 cnf(900,plain,
% 194.85/195.27 (P1(f2(f2(f1(x9001),x9001),f2(f2(f2(f2(x9002,x9003),f2(f1(x9001),x9003)),x9004),f2(x9005,x9004))))),
% 194.85/195.27 inference(scs_inference,[],[756,510,5])).
% 194.85/195.27 cnf(916,plain,
% 194.85/195.27 (P1(f2(x9161,f2(f2(x9162,f1(f2(x9163,x9163))),f2(x9164,f2(x9162,x9165)))))),
% 194.85/195.27 inference(scs_inference,[],[776,123,5])).
% 194.85/195.27 cnf(923,plain,
% 194.85/195.27 (P1(f2(f2(x9231,x9232),f2(f2(f2(x9233,x9233),x9231),x9232)))),
% 194.85/195.27 inference(scs_inference,[],[869,900,5])).
% 194.85/195.27 cnf(926,plain,
% 194.85/195.27 (P1(f2(f2(f2(x9261,x9261),x9262),f2(f2(f2(x9263,x9263),f2(x9262,x9264)),f2(x9265,x9264))))),
% 194.85/195.27 inference(scs_inference,[],[877,923,5])).
% 194.85/195.27 cnf(930,plain,
% 194.85/195.27 (P1(f2(f2(f2(x9301,x9301),f2(f2(f2(f2(x9302,x9302),x9303),f2(f2(x9303,x9304),f2(x9305,x9304))),x9306)),f2(x9307,x9306)))),
% 194.85/195.27 inference(scs_inference,[],[877,926,5])).
% 194.85/195.27 cnf(934,plain,
% 194.85/195.27 (P1(f2(x9341,f2(f2(f2(f2(f2(x9342,x9342),x9343),f2(x9344,x9343)),x9345),f2(x9346,x9345))))),
% 194.85/195.27 inference(scs_inference,[],[877,930,5])).
% 194.85/195.27 cnf(938,plain,
% 194.85/195.27 (P1(f2(f2(f2(x9381,x9381),x9382),f2(f2(f2(x9383,x9383),f2(f2(x9384,x9382),x9385)),f2(x9386,x9385))))),
% 194.85/195.27 inference(scs_inference,[],[877,926,5])).
% 194.85/195.27 cnf(954,plain,
% 194.85/195.27 (P1(f2(f2(f2(x9541,x9541),f1(f1(f2(x9542,x9543)))),f2(x9542,x9543)))),
% 194.85/195.27 inference(scs_inference,[],[877,221,5])).
% 194.85/195.27 cnf(958,plain,
% 194.85/195.27 (P1(f2(f2(f2(x9581,x9581),f1(f1(f2(x9582,x9583)))),f2(f2(x9583,x9584),f2(x9582,x9584))))),
% 194.85/195.27 inference(scs_inference,[],[877,202,5])).
% 194.85/195.27 cnf(970,plain,
% 194.85/195.27 (P1(f2(f2(f2(f2(f2(f2(f2(x9701,x9701),x9702),f2(x9703,x9702)),x9704),f2(x9705,x9704)),x9706),f2(x9707,x9706)))),
% 194.85/195.27 inference(scs_inference,[],[884,934,5])).
% 194.85/195.28 cnf(974,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f2(f2(f2(x9741,x9741),x9742),f2(x9743,x9742)),f1(f2(x9744,x9744))),f2(x9745,x9746)),x9747),f2(x9748,x9747)))),
% 194.85/195.28 inference(scs_inference,[],[884,837,5])).
% 194.85/195.28 cnf(978,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f2(f2(x9781,x9782),f2(f1(x9783),x9784)),x9785),f2(x9783,x9785)),x9786),f2(x9787,x9786)))),
% 194.85/195.28 inference(scs_inference,[],[884,620,5])).
% 194.85/195.28 cnf(982,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f2(x9821,f2(x9822,x9822)),f1(f2(x9823,x9823))),f2(x9824,x9825)),x9826),f2(x9827,x9826)))),
% 194.85/195.28 inference(scs_inference,[],[884,841,5])).
% 194.85/195.28 cnf(986,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f2(f2(f1(x9861),x9861),x9862),x9863),f2(f2(x9861,x9862),x9863)),x9864),f2(x9865,x9864)))),
% 194.85/195.28 inference(scs_inference,[],[884,640,5])).
% 194.85/195.28 cnf(994,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f2(f2(x9941,x9942),f2(x9943,x9942)),x9944),f2(f2(x9943,x9941),x9944)),x9945),f2(x9946,x9945)))),
% 194.85/195.28 inference(scs_inference,[],[884,656,5])).
% 194.85/195.28 cnf(998,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f1(x9981),x9981),f2(f1(x9981),x9982)),x9983),f2(x9984,x9983)))),
% 194.85/195.28 inference(scs_inference,[],[884,672,5])).
% 194.85/195.28 cnf(1002,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f1(f1(x10021)),f1(x10021)),f2(x10021,f2(x10022,x10023))),x10024),f2(x10025,x10024)))),
% 194.85/195.28 inference(scs_inference,[],[884,892,5])).
% 194.85/195.28 cnf(1006,plain,
% 194.85/195.28 (P1(f2(x10061,f2(x10062,f2(f2(x10063,f2(f1(x10064),x10064)),f2(f2(x10064,x10065),f2(x10063,x10065))))))),
% 194.85/195.28 inference(scs_inference,[],[994,986,5])).
% 194.85/195.28 cnf(1010,plain,
% 194.85/195.28 (P1(f2(x10101,f2(f2(f2(x10102,f2(x10103,f2(x10104,x10104))),x10105),f2(x10106,x10105))))),
% 194.85/195.28 inference(scs_inference,[],[970,499,5])).
% 194.85/195.28 cnf(1018,plain,
% 194.85/195.28 (P1(f2(x10181,f2(f2(f2(x10182,f2(x10183,f2(x10184,x10184))),f1(f2(x10185,x10185))),f2(x10186,x10187))))),
% 194.85/195.28 inference(scs_inference,[],[974,499,5])).
% 194.85/195.28 cnf(1022,plain,
% 194.85/195.28 (P1(f2(x10221,f2(f2(f2(x10222,f2(f1(x10223),x10224)),x10225),f2(x10223,x10225))))),
% 194.85/195.28 inference(scs_inference,[],[978,499,5])).
% 194.85/195.28 cnf(1026,plain,
% 194.85/195.28 (P1(f2(x10261,f2(f2(f2(x10262,x10262),f2(f1(x10263),x10263)),f2(f1(x10263),x10264))))),
% 194.85/195.28 inference(scs_inference,[],[998,923,5])).
% 194.85/195.28 cnf(1030,plain,
% 194.85/195.28 (P1(f2(x10301,f2(f2(f2(x10302,f2(x10303,x10304)),x10305),f2(f1(x10302),x10305))))),
% 194.85/195.28 inference(scs_inference,[],[1002,225,5])).
% 194.85/195.28 cnf(1038,plain,
% 194.85/195.28 (P1(f2(f2(x10381,f1(f2(x10382,x10382))),f2(x10383,f2(x10381,x10384))))),
% 194.85/195.28 inference(scs_inference,[],[916,954,5])).
% 194.85/195.28 cnf(1041,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10411,x10411),f2(f2(x10412,x10412),f1(f1(f2(x10413,x10414))))),f2(f2(x10414,x10415),f2(x10413,x10415))))),
% 194.85/195.28 inference(scs_inference,[],[923,958,5])).
% 194.85/195.28 cnf(1044,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10441,x10441),f2(f1(f1(x10442)),f1(x10442))),f2(x10442,f2(x10443,x10444))))),
% 194.85/195.28 inference(scs_inference,[],[923,880,5])).
% 194.85/195.28 cnf(1047,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10471,x10471),f2(f2(x10472,x10472),f2(f1(f1(x10473)),f1(x10473)))),f2(x10473,f2(x10474,x10475))))),
% 194.85/195.28 inference(scs_inference,[],[923,1044,5])).
% 194.85/195.28 cnf(1053,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10531,x10531),f2(x10532,f1(f2(x10533,x10533)))),f2(x10534,f2(x10532,x10535))))),
% 194.85/195.28 inference(scs_inference,[],[923,1038,5])).
% 194.85/195.28 cnf(1056,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10561,x10561),f2(f2(x10562,x10562),f2(x10563,f1(f2(x10564,x10564))))),f2(x10565,f2(x10563,x10566))))),
% 194.85/195.28 inference(scs_inference,[],[923,1053,5])).
% 194.85/195.28 cnf(1069,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10691,x10691),f2(f2(f2(f2(x10692,f2(f1(x10693),x10694)),x10695),f2(x10693,x10695)),x10696)),f2(x10697,x10696)))),
% 194.85/195.28 inference(scs_inference,[],[926,1022,5])).
% 194.85/195.28 cnf(1077,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10771,x10771),f2(f2(f2(f2(x10772,f2(x10773,f2(x10774,x10774))),x10775),f2(x10776,x10775)),x10777)),f2(x10778,x10777)))),
% 194.85/195.28 inference(scs_inference,[],[926,1010,5])).
% 194.85/195.28 cnf(1081,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10811,x10811),f2(f2(f2(f2(x10812,f2(x10813,f2(x10814,x10814))),f1(f2(x10815,x10815))),f2(x10816,x10817)),x10818)),f2(x10819,x10818)))),
% 194.85/195.28 inference(scs_inference,[],[926,1018,5])).
% 194.85/195.28 cnf(1089,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10891,x10891),f2(f2(f2(f2(x10892,x10892),f2(f2(x10893,f2(x10894,x10894)),x10895)),f2(x10896,x10895)),x10897)),f2(x10898,x10897)))),
% 194.85/195.28 inference(scs_inference,[],[926,938,5])).
% 194.85/195.28 cnf(1097,plain,
% 194.85/195.28 (P1(f2(f2(f2(x10971,x10971),f2(f2(f2(f2(x10972,x10972),x10973),f2(x10974,x10973)),x10975)),f2(x10976,x10975)))),
% 194.85/195.28 inference(scs_inference,[],[926,612,5])).
% 194.85/195.28 cnf(1101,plain,
% 194.85/195.28 (P1(f2(f2(f2(x11011,x11011),f2(f2(f2(f2(f1(x11012),x11013),x11014),f2(x11012,x11014)),x11015)),f2(x11016,x11015)))),
% 194.85/195.28 inference(scs_inference,[],[926,664,5])).
% 194.85/195.28 cnf(1105,plain,
% 194.85/195.28 (P1(f2(x11051,f2(f2(f2(x11052,x11052),x11053),f2(f2(x11053,x11054),f2(x11055,x11054)))))),
% 194.85/195.28 inference(scs_inference,[],[930,1097,5])).
% 194.85/195.28 cnf(1109,plain,
% 194.85/195.28 (P1(f2(x11091,f2(f2(f2(x11092,x11092),f2(f2(x11093,f2(x11094,x11094)),x11095)),f2(x11096,x11095))))),
% 194.85/195.28 inference(scs_inference,[],[930,1089,5])).
% 194.85/195.28 cnf(1117,plain,
% 194.85/195.28 (P1(f2(f2(f2(x11171,x11171),f2(f2(x11172,f2(x11173,x11173)),x11174)),f2(x11175,x11174)))),
% 194.85/195.28 inference(scs_inference,[],[1041,1109,5])).
% 194.85/195.28 cnf(1147,plain,
% 194.85/195.28 (P1(f2(x11471,f2(f2(x11472,f2(f1(x11473),x11473)),f2(f2(x11473,x11474),f2(x11472,x11474)))))),
% 194.85/195.28 inference(scs_inference,[],[1117,1006,5])).
% 194.85/195.28 cnf(1163,plain,
% 194.85/195.28 (P1(f2(x11631,f2(f1(f2(f2(f2(f2(f2(x11632,x11632),x11633),f2(x11634,x11633)),x11635),f2(x11636,x11635))),f2(x11637,x11638))))),
% 194.85/195.28 inference(scs_inference,[],[1077,796,5])).
% 194.85/195.28 cnf(1179,plain,
% 194.85/195.28 (P1(f2(x11791,f2(f2(f2(x11792,x11792),f2(f2(x11793,x11793),x11794)),f2(x11795,f2(x11796,f2(x11797,x11794))))))),
% 194.85/195.28 inference(scs_inference,[],[970,877,5])).
% 194.85/195.28 cnf(1183,plain,
% 194.85/195.28 (P1(f2(x11831,f2(f2(f2(x11832,x11832),f2(f2(f2(f2(x11833,x11833),x11834),f2(x11835,x11834)),x11836)),f2(x11837,x11836))))),
% 194.85/195.28 inference(scs_inference,[],[970,923,5])).
% 194.85/195.28 cnf(1187,plain,
% 194.85/195.28 (P1(f2(x11871,f2(f2(x11872,f2(f2(x11873,x11873),x11874)),f2(x11875,f2(x11872,f2(x11876,x11874))))))),
% 194.85/195.28 inference(scs_inference,[],[970,123,5])).
% 194.85/195.28 cnf(1191,plain,
% 194.85/195.28 (P1(f2(x11911,f2(f2(f2(x11912,x11912),f2(f2(f2(f2(x11913,x11913),x11914),f2(x11915,x11914)),f1(f2(x11916,x11916)))),f2(x11917,x11918))))),
% 194.85/195.28 inference(scs_inference,[],[974,923,5])).
% 194.85/195.28 cnf(1195,plain,
% 194.85/195.28 (P1(f2(x11951,f2(f2(f2(f2(f2(x11952,x11953),x11954),f2(f2(f2(x11955,x11955),x11953),x11954)),f1(f2(x11956,x11956))),f2(x11957,x11958))))),
% 194.85/195.28 inference(scs_inference,[],[974,510,5])).
% 194.85/195.28 cnf(1199,plain,
% 194.85/195.28 (P1(f2(x11991,f2(f2(f2(f1(f2(f2(f2(x11992,x11992),x11993),f2(x11994,x11993))),x11995),f1(f2(x11996,x11996))),f2(x11997,x11998))))),
% 194.85/195.28 inference(scs_inference,[],[974,113,5])).
% 194.85/195.28 cnf(1207,plain,
% 194.85/195.28 (P1(f2(x12071,f2(f2(f2(f2(f2(f1(x12072),x12073),x12074),f2(f2(x12075,x12076),x12074)),x12077),f2(x12072,x12077))))),
% 194.85/195.28 inference(scs_inference,[],[978,510,5])).
% 194.85/195.28 cnf(1211,plain,
% 194.85/195.28 (P1(f2(x12111,f2(f2(f2(f1(f2(x12112,f2(x12113,x12113))),x12114),f1(f2(x12115,x12115))),f2(x12116,x12117))))),
% 194.85/195.28 inference(scs_inference,[],[982,113,5])).
% 194.85/195.28 cnf(1215,plain,
% 194.85/195.28 (P1(f2(x12151,f2(f2(f2(x12152,x12152),f2(f2(x12153,f2(x12154,x12154)),f1(f2(x12155,x12155)))),f2(x12156,x12157))))),
% 194.85/195.28 inference(scs_inference,[],[982,923,5])).
% 194.85/195.28 cnf(1219,plain,
% 194.85/195.28 (P1(f2(x12191,f2(x12192,f2(f2(f1(f2(f2(x12193,x12193),x12194)),f2(f2(x12193,x12193),x12194)),f2(x12195,x12194)))))),
% 194.85/195.28 inference(scs_inference,[],[986,1097,5])).
% 194.85/195.28 cnf(1231,plain,
% 194.85/195.28 (P1(f2(x12311,f2(f2(f2(x12312,x12312),f2(f1(x12313),x12313)),f2(f2(x12313,x12314),f2(x12315,x12314)))))),
% 194.85/195.28 inference(scs_inference,[],[986,877,5])).
% 194.85/195.28 cnf(1259,plain,
% 194.85/195.28 (P1(f2(x12591,f2(f2(f2(x12592,x12592),f2(f2(f2(x12593,x12594),f2(f2(x12594,x12595),f2(x12593,x12595))),x12596)),f2(x12597,x12596))))),
% 194.85/195.28 inference(scs_inference,[],[994,926,5])).
% 194.85/195.28 cnf(1263,plain,
% 194.85/195.28 (P1(f2(f2(f2(x12631,x12631),f2(f2(f2(x12632,x12633),f2(f2(x12633,x12634),f2(x12632,x12634))),x12635)),f2(x12636,x12635)))),
% 194.85/195.28 inference(scs_inference,[],[994,1259,5])).
% 194.85/195.28 cnf(1274,plain,
% 194.85/195.28 (P1(f2(x12741,f2(f2(f2(f1(f1(x12742)),x12743),x12742),f2(f1(x12742),x12744))))),
% 194.85/195.28 inference(scs_inference,[],[998,113,5])).
% 194.85/195.28 cnf(1278,plain,
% 194.85/195.28 (P1(f2(x12781,f2(f2(f1(f2(f1(x12782),x12782)),f2(f1(x12782),x12782)),f2(f1(x12782),x12783))))),
% 194.85/195.28 inference(scs_inference,[],[998,116,5])).
% 194.85/195.28 cnf(1286,plain,
% 194.85/195.28 (P1(f2(x12861,f2(f2(f2(x12862,x12862),f1(x12863)),f2(x12863,f2(x12864,x12865)))))),
% 194.85/195.28 inference(scs_inference,[],[1002,495,5])).
% 194.85/195.28 cnf(1290,plain,
% 194.85/195.28 (P1(f2(x12901,f2(f2(f2(f1(f1(f1(x12902))),x12903),f1(x12902)),f2(x12902,f2(x12904,x12905)))))),
% 194.85/195.28 inference(scs_inference,[],[1002,113,5])).
% 194.85/195.28 cnf(1298,plain,
% 194.85/195.28 (P1(f2(f2(f2(x12981,f2(x12982,f2(x12983,x12983))),x12984),f2(x12985,x12984)))),
% 194.85/195.28 inference(scs_inference,[],[1010,1047,5])).
% 194.85/195.28 cnf(1301,plain,
% 194.85/195.28 (P1(f2(f2(f2(x13011,f2(x13012,f2(x13013,x13013))),f1(f2(x13014,x13014))),f2(x13015,x13016)))),
% 194.85/195.28 inference(scs_inference,[],[1018,1298,5])).
% 194.85/195.28 cnf(1304,plain,
% 194.85/195.28 (P1(f2(f2(f2(x13041,x13041),f2(f1(x13042),x13042)),f2(f1(x13042),x13043)))),
% 194.85/195.28 inference(scs_inference,[],[1026,1301,5])).
% 194.85/195.28 cnf(1307,plain,
% 194.85/195.28 (P1(f2(f2(f2(x13071,f2(x13072,x13073)),x13074),f2(f1(x13071),x13074)))),
% 194.85/195.28 inference(scs_inference,[],[1030,1304,5])).
% 194.85/195.28 cnf(1310,plain,
% 194.85/195.28 (P1(f2(f2(f2(x13101,x13101),f2(f2(f2(f2(x13102,x13102),x13103),f2(x13104,x13103)),f1(f2(x13105,x13105)))),f2(x13106,x13107)))),
% 194.85/195.28 inference(scs_inference,[],[1183,1191,5])).
% 194.85/195.28 cnf(1333,plain,
% 194.85/195.28 (P1(f2(x13331,f2(f2(f1(f2(f2(x13332,x13332),x13333)),f2(f2(x13332,x13332),x13333)),f2(x13334,x13333))))),
% 194.85/195.28 inference(scs_inference,[],[1069,1219,5])).
% 194.85/195.28 cnf(1337,plain,
% 194.85/195.28 (P1(f2(f2(f1(f2(f2(x13371,x13371),x13372)),f2(f2(x13371,x13371),x13372)),f2(x13373,x13372)))),
% 194.85/195.28 inference(scs_inference,[],[1069,1333,5])).
% 194.85/195.28 cnf(1360,plain,
% 194.85/195.28 (P1(f2(x13601,f2(f2(f2(x13602,f2(x13603,f2(f1(x13602),x13604))),x13605),f2(x13606,x13605))))),
% 194.85/195.28 inference(scs_inference,[],[1069,1105,5])).
% 194.85/195.28 cnf(1364,plain,
% 194.85/195.28 (P1(f2(x13641,f2(f2(f2(x13642,x13642),f2(f2(x13643,f2(f1(x13644),x13645)),x13646)),f2(x13644,x13646))))),
% 194.85/195.28 inference(scs_inference,[],[1069,869,5])).
% 194.85/195.28 cnf(1380,plain,
% 194.85/195.28 (P1(f2(x13801,f2(f2(f2(x13802,f2(x13803,f2(x13804,f2(x13805,x13805)))),x13806),f2(x13807,x13806))))),
% 194.85/195.28 inference(scs_inference,[],[1077,1105,5])).
% 194.85/195.28 cnf(1388,plain,
% 194.85/195.28 (P1(f2(x13881,f2(f2(f2(x13882,x13882),f2(f2(x13883,f2(x13884,f2(x13885,x13885))),f1(f2(x13886,x13886)))),f2(x13887,x13888))))),
% 194.85/195.28 inference(scs_inference,[],[1081,869,5])).
% 194.85/195.28 cnf(1392,plain,
% 194.85/195.28 (P1(f2(x13921,f2(x13922,f2(f2(f2(x13923,x13923),f2(f2(x13924,f2(x13925,x13925)),x13926)),f2(x13927,x13926)))))),
% 194.85/195.28 inference(scs_inference,[],[1089,1187,5])).
% 194.85/195.28 cnf(1403,plain,
% 194.85/195.28 (P1(f2(x14031,f2(f2(f2(x14032,x14032),x14033),f2(x14034,f2(x14035,x14033)))))),
% 194.85/195.28 inference(scs_inference,[],[1097,752,5])).
% 194.85/195.28 cnf(1438,plain,
% 194.85/195.28 (P1(f2(x14381,f2(f2(f2(x14382,x14382),f2(f2(f1(x14383),x14384),x14385)),f2(x14383,x14385))))),
% 194.85/195.28 inference(scs_inference,[],[1101,869,5])).
% 194.85/195.28 cnf(1442,plain,
% 194.85/195.28 (P1(f2(f2(f2(x14421,x14421),f2(f2(f1(x14422),x14423),x14424)),f2(x14422,x14424)))),
% 194.85/195.28 inference(scs_inference,[],[1438,1195,5])).
% 194.85/195.28 cnf(1445,plain,
% 194.85/195.28 (P1(f2(f2(f2(x14451,x14451),f2(f2(x14452,f2(f1(x14453),x14454)),x14455)),f2(x14453,x14455)))),
% 194.85/195.28 inference(scs_inference,[],[1307,1364,5])).
% 194.85/195.28 cnf(1448,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f2(f1(x14481),x14482),x14483),f2(f2(x14484,x14485),x14483)),x14486),f2(x14481,x14486)))),
% 194.85/195.28 inference(scs_inference,[],[1207,1215,5])).
% 194.85/195.28 cnf(1451,plain,
% 194.85/195.28 (P1(f2(x14511,f2(f2(x14511,x14512),f2(x14513,x14512))))),
% 194.85/195.28 inference(scs_inference,[],[1445,1231,5])).
% 194.85/195.28 cnf(1455,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f2(x14551,x14551),f2(f2(f2(f2(x14552,x14552),x14553),f2(x14554,x14553)),f1(f2(x14555,x14555)))),f2(x14556,x14557)),x14558),f2(x14559,x14558)))),
% 194.85/195.28 inference(scs_inference,[],[1451,1310,5])).
% 194.85/195.28 cnf(1462,plain,
% 194.85/195.28 (P1(f2(f2(x14621,f2(f1(x14622),x14622)),f2(f2(x14622,x14623),f2(x14621,x14623))))),
% 194.85/195.28 inference(scs_inference,[],[1147,1442,5])).
% 194.85/195.28 cnf(1468,plain,
% 194.85/195.28 (P1(f2(f1(f2(f2(f2(f2(f2(x14681,x14681),x14682),f2(x14683,x14682)),x14684),f2(x14685,x14684))),f2(x14686,x14687)))),
% 194.85/195.28 inference(scs_inference,[],[1163,1455,5])).
% 194.85/195.28 cnf(1471,plain,
% 194.85/195.28 (P1(f2(f2(f2(x14711,x14711),f2(f2(x14712,x14712),x14713)),f2(x14714,f2(x14715,f2(x14716,x14713)))))),
% 194.85/195.28 inference(scs_inference,[],[1179,1468,5])).
% 194.85/195.28 cnf(1474,plain,
% 194.85/195.28 (P1(f2(f2(x14741,f2(f2(x14742,x14742),x14743)),f2(x14744,f2(x14741,f2(x14745,x14743)))))),
% 194.85/195.28 inference(scs_inference,[],[1187,1462,5])).
% 194.85/195.28 cnf(1477,plain,
% 194.85/195.28 (P1(f2(f2(f2(f1(f2(f2(f2(x14771,x14771),x14772),f2(x14773,x14772))),x14774),f1(f2(x14775,x14775))),f2(x14776,x14777)))),
% 194.85/195.28 inference(scs_inference,[],[1199,1056,5])).
% 194.85/195.28 cnf(1480,plain,
% 194.85/195.28 (P1(f2(f2(f2(f1(f2(x14801,f2(x14802,x14802))),x14803),f1(f2(x14804,x14804))),f2(x14805,x14806)))),
% 194.85/195.28 inference(scs_inference,[],[1211,1477,5])).
% 194.85/195.28 cnf(1483,plain,
% 194.85/195.28 (P1(f2(f2(f2(x14831,x14831),f2(f2(x14832,f2(x14833,x14833)),f1(f2(x14834,x14834)))),f2(x14835,x14836)))),
% 194.85/195.28 inference(scs_inference,[],[1215,1480,5])).
% 194.85/195.28 cnf(1486,plain,
% 194.85/195.28 (P1(f2(f2(f2(x14861,x14861),f2(f1(x14862),x14862)),f2(f2(x14862,x14863),f2(x14864,x14863))))),
% 194.85/195.28 inference(scs_inference,[],[1231,1483,5])).
% 194.85/195.28 cnf(1513,plain,
% 194.85/195.28 (P1(f2(x15131,f2(f2(f2(x15132,x15132),f2(x15133,x15134)),f2(f2(x15134,x15135),f2(x15133,x15135)))))),
% 194.85/195.28 inference(scs_inference,[],[1263,869,5])).
% 194.85/195.28 cnf(1524,plain,
% 194.85/195.28 (P1(f2(f2(f2(f1(f1(x15241)),x15242),x15241),f2(f1(x15241),x15243)))),
% 194.85/195.28 inference(scs_inference,[],[1274,799,5])).
% 194.85/195.28 cnf(1527,plain,
% 194.85/195.28 (P1(f2(f2(f1(f2(f1(x15271),x15271)),f2(f1(x15271),x15271)),f2(f1(x15271),x15272)))),
% 194.85/195.28 inference(scs_inference,[],[1278,1524,5])).
% 194.85/195.28 cnf(1530,plain,
% 194.85/195.28 (P1(f2(f2(f2(x15301,x15301),f1(x15302)),f2(x15302,f2(x15303,x15304))))),
% 194.85/195.28 inference(scs_inference,[],[1286,1527,5])).
% 194.85/195.28 cnf(1533,plain,
% 194.85/195.28 (P1(f2(f2(f2(f1(f1(f1(x15331))),x15332),f1(x15331)),f2(x15331,f2(x15333,x15334))))),
% 194.85/195.28 inference(scs_inference,[],[1290,1530,5])).
% 194.85/195.28 cnf(1550,plain,
% 194.85/195.28 (P1(f2(f1(f2(f2(f2(x15501,x15501),f2(f2(x15502,f2(x15503,x15503)),x15504)),f2(x15505,x15504))),x15506))),
% 194.85/195.28 inference(scs_inference,[],[1304,1392,5])).
% 194.85/195.28 cnf(1566,plain,
% 194.85/195.28 (P1(f2(x15661,f2(f2(f2(x15662,x15662),x15663),x15663)))),
% 194.85/195.28 inference(scs_inference,[],[1337,869,5])).
% 194.85/195.28 cnf(1577,plain,
% 194.85/195.28 (P1(f2(f2(f2(x15771,f2(x15772,f2(f1(x15771),x15773))),x15774),f2(x15775,x15774)))),
% 194.85/195.28 inference(scs_inference,[],[1360,1533,5])).
% 194.85/195.28 cnf(1580,plain,
% 194.85/195.28 (P1(f2(f2(f2(x15801,f2(x15802,f2(x15803,f2(x15804,x15804)))),x15805),f2(x15806,x15805)))),
% 194.85/195.28 inference(scs_inference,[],[1380,1577,5])).
% 194.85/195.28 cnf(1583,plain,
% 194.85/195.28 (P1(f2(f2(f2(x15831,x15831),f2(f2(x15832,f2(x15833,f2(x15834,x15834))),f1(f2(x15835,x15835)))),f2(x15836,x15837)))),
% 194.85/195.28 inference(scs_inference,[],[1388,1580,5])).
% 194.85/195.28 cnf(1586,plain,
% 194.85/195.28 (P1(f2(f2(f2(x15861,x15861),x15862),f2(x15863,f2(x15864,x15862))))),
% 194.85/195.28 inference(scs_inference,[],[1403,1583,5])).
% 194.85/195.28 cnf(1615,plain,
% 194.85/195.28 (P1(f2(x16151,f2(x16152,f2(f2(f2(f1(x16151),x16153),x16154),f2(x16155,x16154)))))),
% 194.85/195.28 inference(scs_inference,[],[1448,1474,5])).
% 194.85/195.28 cnf(1649,plain,
% 194.85/195.28 (P1(f2(f2(f2(x16491,f2(x16492,x16493)),x16494),f2(f2(f2(x16495,x16495),f2(f2(x16496,x16496),x16493)),x16494)))),
% 194.85/195.28 inference(scs_inference,[],[1462,1471,5])).
% 194.85/195.28 cnf(1653,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f2(f1(x16531),x16532),x16533),f2(x16534,x16533)),x16535),f2(x16531,x16535)))),
% 194.85/195.28 inference(scs_inference,[],[1462,1615,5])).
% 194.85/195.28 cnf(1669,plain,
% 194.85/195.28 (P1(f2(x16691,f2(f1(f2(f2(f2(x16692,x16692),f2(f2(x16693,f2(x16694,x16694)),x16695)),f2(x16696,x16695))),f2(x16697,x16698))))),
% 194.85/195.28 inference(scs_inference,[],[1474,1550,5])).
% 194.85/195.28 cnf(1685,plain,
% 194.85/195.28 (P1(f2(x16851,f2(f1(f2(f2(f1(x16852),x16852),x16852)),f2(x16853,x16854))))),
% 194.85/195.28 inference(scs_inference,[],[1474,88,5])).
% 194.85/195.28 cnf(1693,plain,
% 194.85/195.28 (P1(f2(x16931,f2(f1(f2(f2(f2(f2(x16932,x16933),f2(x16934,x16933)),x16935),f2(f2(x16934,x16932),x16935))),f2(x16936,x16937))))),
% 194.85/195.28 inference(scs_inference,[],[1474,549,5])).
% 194.85/195.28 cnf(1709,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f1(x17091),x17091),x17091),x17092),f2(x17093,x17092)))),
% 194.85/195.28 inference(scs_inference,[],[1486,1685,5])).
% 194.85/195.28 cnf(1713,plain,
% 194.85/195.28 (P1(f2(f2(f2(f2(f2(x17131,x17131),f2(f2(x17132,f2(x17133,x17133)),x17134)),f2(x17135,x17134)),x17136),f2(x17137,x17136)))),
% 194.85/195.28 inference(scs_inference,[],[1486,1669,5])).
% 194.85/195.28 cnf(1739,plain,
% 194.93/195.28 (P1(f2(f2(f2(x17391,x17391),f2(x17392,x17393)),f2(f2(x17393,x17394),f2(x17392,x17394))))),
% 194.93/195.28 inference(scs_inference,[],[1513,1713,5])).
% 194.93/195.28 cnf(1873,plain,
% 194.93/195.28 (P1(f2(f2(f2(x18731,x18731),x18732),x18732))),
% 194.93/195.28 inference(scs_inference,[],[1566,1693,5])).
% 194.93/195.28 cnf(2028,plain,
% 194.93/195.28 (P1(f2(f2(f2(x20281,x20281),f2(f2(x20282,x20282),x20283)),f2(f2(x20283,x20284),f2(x20285,x20284))))),
% 194.93/195.28 inference(scs_inference,[],[1649,1739,5])).
% 194.93/195.28 cnf(2048,plain,
% 194.93/195.28 (P1(f2(x20481,f2(x20482,f2(x20483,x20481))))),
% 194.93/195.28 inference(scs_inference,[],[1653,1709,5])).
% 194.93/195.28 cnf(2756,plain,
% 194.93/195.28 (P1(f2(f2(f2(x27561,f2(x27562,x27563)),x27564),f2(x27563,x27564)))),
% 194.93/195.28 inference(scs_inference,[],[3,2048,5])).
% 194.93/195.28 cnf(2768,plain,
% 194.93/195.28 (P1(f2(f2(f2(f2(x27681,x27682),f2(x27683,x27682)),x27684),f2(x27681,x27684)))),
% 194.93/195.28 inference(scs_inference,[],[3,1451,5])).
% 194.93/195.28 cnf(2805,plain,
% 194.93/195.28 (P1(f2(f2(f2(x28051,x28051),x28052),f2(f2(x28052,x28053),f2(x28054,x28053))))),
% 194.93/195.28 inference(scs_inference,[],[123,2028,5])).
% 194.93/195.28 cnf(2821,plain,
% 194.93/195.28 (P1(f2(f2(x28211,x28212),f2(f2(f2(x28213,x28213),f2(x28212,x28214)),f2(x28211,x28214))))),
% 194.93/195.28 inference(scs_inference,[],[123,923,5])).
% 194.93/195.28 cnf(2825,plain,
% 194.93/195.28 (P1(f2(f2(f2(f2(f2(x28251,x28251),f2(x28252,x28253)),f2(x28252,x28253)),x28254),f2(x28255,x28254)))),
% 194.93/195.28 inference(scs_inference,[],[2821,2805,5])).
% 194.93/195.28 cnf(2829,plain,
% 194.93/195.28 (P1(f2(x28291,f2(x28292,f2(x28293,x28292))))),
% 194.93/195.28 inference(scs_inference,[],[2825,2768,5])).
% 194.93/195.28 cnf(2836,plain,
% 194.93/195.28 (P1(f2(f1(f2(x28361,f2(x28362,x28361))),x28363))),
% 194.93/195.28 inference(scs_inference,[],[391,2829,5])).
% 194.93/195.28 cnf(2847,plain,
% 194.93/195.28 (P1(f2(f2(f2(x28471,f2(x28472,x28471)),x28473),f2(x28474,x28473)))),
% 194.93/195.28 inference(scs_inference,[],[884,2836,5])).
% 194.93/195.28 cnf(2864,plain,
% 194.93/195.28 (P1(f2(f2(f2(x28641,x28641),f2(x28642,x28643)),f2(f2(f2(x28644,x28644),f2(x28643,x28645)),f2(x28642,x28645))))),
% 194.93/195.28 inference(scs_inference,[],[923,2821,5])).
% 194.93/195.28 cnf(2944,plain,
% 194.93/195.28 (P1(f2(x29441,f2(f2(f2(x29442,x29442),f2(x29441,x29443)),f2(x29444,x29443))))),
% 194.93/195.28 inference(scs_inference,[],[2756,2864,5])).
% 194.93/195.28 cnf(2960,plain,
% 194.93/195.28 (P1(f2(f2(x29601,x29602),f2(f2(x29603,x29601),f2(x29604,f2(x29603,x29602)))))),
% 194.93/195.28 inference(scs_inference,[],[2768,123,5])).
% 194.93/195.28 cnf(3012,plain,
% 194.93/195.28 (P1(f2(x30121,f2(f2(f1(x30122),x30122),f2(x30123,x30122))))),
% 194.93/195.28 inference(scs_inference,[],[2847,116,5])).
% 194.93/195.28 cnf(3016,plain,
% 194.93/195.28 (P1(f2(f2(f1(x30161),x30161),f2(x30162,x30161)))),
% 194.93/195.28 inference(scs_inference,[],[2944,3012,5])).
% 194.93/195.28 cnf(3027,plain,
% 194.93/195.28 (P1(f2(f2(x30271,f2(f2(x30272,x30272),x30273)),f2(x30274,f2(x30271,x30273))))),
% 194.93/195.28 inference(scs_inference,[],[2960,1873,5])).
% 194.93/195.28 cnf(3090,plain,
% 194.93/195.28 (P1(f2(f2(f2(x30901,x30901),f2(f1(x30902),x30902)),f2(x30903,x30902)))),
% 194.93/195.28 inference(scs_inference,[],[923,3016,5])).
% 194.93/195.28 cnf(3106,plain,
% 194.93/195.28 (P1(f2(f1(x31061),f2(x31062,f2(x31061,x31063))))),
% 194.93/195.28 inference(scs_inference,[],[1307,3027,5])).
% 194.93/195.28 cnf(3110,plain,
% 194.93/195.28 (P1(f2(f2(f2(x31101,x31102),x31103),f2(f1(x31101),x31103)))),
% 194.93/195.28 inference(scs_inference,[],[1462,3106,5])).
% 194.93/195.28 cnf(3122,plain,
% 194.93/195.28 (P1(f2(x31221,f2(x31222,f2(f1(x31223),f2(x31223,x31224)))))),
% 194.93/195.28 inference(scs_inference,[],[1586,3110,5])).
% 194.93/195.28 cnf(3126,plain,
% 194.93/195.28 (P1(f2(x31261,f2(f1(x31262),f2(x31262,x31263))))),
% 194.93/195.28 inference(scs_inference,[],[3090,3122,5])).
% 194.93/195.28 cnf(3142,plain,
% 194.93/195.28 (P1(f2(f1(x31421),f2(x31421,x31422)))),
% 194.93/195.28 inference(scs_inference,[],[1873,3126,5])).
% 194.93/195.28 cnf(3214,plain,
% 194.93/195.28 (P1(f2(f2(x32141,x32142),f2(f1(f1(x32141)),x32142)))),
% 194.93/195.28 inference(scs_inference,[],[1462,3142,5])).
% 194.93/195.28 cnf(3234,plain,
% 194.93/195.28 ($false),
% 194.93/195.28 inference(scs_inference,[],[1873,3214,4,5]),
% 194.93/195.28 ['proof']).
% 194.93/195.28 % SZS output end Proof
% 194.93/195.28 % Total time :194.090000s
%------------------------------------------------------------------------------