TSTP Solution File: LCL083-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL083-1 : 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 : n022.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 06:47:54 EDT 2023
% Result : Unsatisfiable 172.85s 173.10s
% Output : CNFRefutation 172.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n022.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 : Fri Aug 25 01:19:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.51 start to proof:theBenchmark
% 172.82/173.04 %-------------------------------------------
% 172.82/173.04 % File :CSE---1.6
% 172.82/173.04 % Problem :theBenchmark
% 172.82/173.04 % Transform :cnf
% 172.82/173.04 % Format :tptp:raw
% 172.82/173.04 % Command :java -jar mcs_scs.jar %d %s
% 172.82/173.04
% 172.82/173.05 % Result :Theorem 172.230000s
% 172.82/173.05 % Output :CNFRefutation 172.230000s
% 172.82/173.05 %-------------------------------------------
% 172.85/173.09 %--------------------------------------------------------------------------
% 172.85/173.09 % File : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% 172.85/173.09 % Domain : Logic Calculi (Implicational propositional)
% 172.85/173.09 % Problem : IC-3 depends on the 1st Lukasiewicz axiom
% 172.85/173.09 % Version : [McC92] axioms.
% 172.85/173.09 % English : Axiomatisations of the Implicational propositional calculus
% 172.85/173.09 % are {IC-2,IC-3,IC-4} by Tarski-Bernays and single Lukasiewicz
% 172.85/173.09 % axioms. Show that IC-3 depends on the first Lukasiewicz
% 172.85/173.09 % axiom.
% 172.85/173.09
% 172.85/173.09 % Refs : [Luk48] Lukasiewicz (1948), The Shortest Axiom of the Implicat
% 172.85/173.09 % : [Pfe88] Pfenning (1988), Single Axioms in the Implicational Pr
% 172.85/173.09 % : [WW+90] Wos et al. (1990), Automated Reasoning Contributes to
% 172.85/173.09 % : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 172.85/173.09 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 172.85/173.09 % Source : [McC92]
% 172.85/173.09 % Names : P1 [Pfe88]
% 172.85/173.09 % : IC-1.2 [WW+90]
% 172.85/173.09 % : IC-66 [MW92]
% 172.85/173.09 % : ls3 [SETHEO]
% 172.85/173.09
% 172.85/173.09 % Status : Unsatisfiable
% 172.85/173.09 % Rating : 0.00 v6.1.0, 0.29 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 v2.7.0, 0.12 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, 0.75 v2.0.0
% 172.85/173.09 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 172.85/173.09 % Number of literals : 5 ( 0 equ; 3 neg)
% 172.85/173.10 % Maximal clause size : 3 ( 1 avg)
% 172.85/173.10 % Maximal term depth : 4 ( 2 avg)
% 172.85/173.10 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 172.85/173.10 % Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% 172.85/173.10 % Number of variables : 6 ( 2 sgn)
% 172.85/173.10 % SPC : CNF_UNS_RFO_NEQ_HRN
% 172.85/173.10
% 172.85/173.10 % Comments :
% 172.85/173.10 %--------------------------------------------------------------------------
% 172.85/173.10 cnf(condensed_detachment,axiom,
% 172.85/173.10 ( ~ is_a_theorem(implies(X,Y))
% 172.85/173.10 | ~ is_a_theorem(X)
% 172.85/173.10 | is_a_theorem(Y) ) ).
% 172.85/173.10
% 172.85/173.10 cnf(ic_JLukasiewicz,axiom,
% 172.85/173.10 is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) ).
% 172.85/173.10
% 172.85/173.10 cnf(prove_ic_3,negated_conjecture,
% 172.85/173.10 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ).
% 172.85/173.10
% 172.85/173.10 %--------------------------------------------------------------------------
% 172.85/173.10 %-------------------------------------------
% 172.85/173.10 % Proof found
% 172.85/173.10 % SZS status Theorem for theBenchmark
% 172.85/173.10 % SZS output start Proof
% 172.85/173.13 %ClaNum:3(EqnAxiom:0)
% 172.85/173.13 %VarNum:11(SingletonVarNum:6)
% 172.85/173.13 %MaxLitNum:3
% 172.85/173.13 %MaxfuncDepth:3
% 172.85/173.13 %SharedTerms:6
% 172.85/173.13 %goalClause: 2
% 172.85/173.13 %singleGoalClaCount:1
% 172.85/173.13 [2]~P1(f1(f1(f1(a2,a3),a2),a2))
% 172.85/173.13 [1]P1(f1(f1(f1(x11,x12),x13),f1(f1(x13,x11),f1(x14,x11))))
% 172.85/173.13 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 172.85/173.13 %EqnAxiom
% 172.85/173.13
% 172.85/173.14 %-------------------------------------------
% 172.94/173.18 cnf(4,plain,
% 172.94/173.18 (P1(f1(f1(x41,x42),f1(x43,x42)))+~P1(f1(f1(x42,x44),x41))),
% 172.94/173.18 inference(scs_inference,[],[1,3])).
% 172.94/173.18 cnf(5,plain,
% 172.94/173.18 (P1(f1(f1(f1(f1(x51,x52),f1(x53,x52)),f1(x52,x54)),f1(x55,f1(x52,x54))))),
% 172.94/173.18 inference(scs_inference,[],[1,4])).
% 172.94/173.18 cnf(6,plain,
% 172.94/173.18 (P1(f1(x61,f1(x62,x63)))+~P1(f1(f1(f1(x64,x62),f1(x65,x62)),f1(x62,x63)))),
% 172.94/173.18 inference(scs_inference,[],[1,4,3])).
% 172.94/173.18 cnf(7,plain,
% 172.94/173.18 (P1(f1(x71,f1(f1(x72,x73),f1(x73,f1(x72,x73)))))),
% 172.94/173.19 inference(scs_inference,[],[1,6,4])).
% 172.94/173.19 cnf(8,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(x81,x82),f1(x82,f1(x81,x82))),x83),f1(x84,x83)))),
% 172.94/173.19 inference(scs_inference,[],[5,6,4])).
% 172.94/173.19 cnf(9,plain,
% 172.94/173.19 (P1(f1(x91,f1(f1(x92,x92),f1(f1(x93,x92),f1(x92,x92)))))),
% 172.94/173.19 inference(scs_inference,[],[5,6,4])).
% 172.94/173.19 cnf(10,plain,
% 172.94/173.19 (P1(f1(f1(x101,x101),f1(f1(x102,x101),f1(x101,x101))))),
% 172.94/173.19 inference(scs_inference,[],[1,9,3])).
% 172.94/173.19 cnf(13,plain,
% 172.94/173.19 (P1(f1(f1(x131,x132),f1(x132,f1(x131,x132))))),
% 172.94/173.19 inference(scs_inference,[],[1,7,3])).
% 172.94/173.19 cnf(19,plain,
% 172.94/173.19 (P1(f1(x191,f1(f1(x192,f1(x193,x192)),f1(x194,f1(x192,f1(x193,x192))))))),
% 172.94/173.19 inference(scs_inference,[],[7,4,6])).
% 172.94/173.19 cnf(22,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(x221,x221),f1(f1(x222,x221),f1(x221,x221))),x223),f1(x224,x223)))),
% 172.94/173.19 inference(scs_inference,[],[9,1,3])).
% 172.94/173.19 cnf(29,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(x291,x292),f1(x292,x292)),f1(x293,f1(f1(x291,x292),f1(x292,x292)))),x294),f1(x295,x294)))),
% 172.94/173.19 inference(scs_inference,[],[22,6,4])).
% 172.94/173.19 cnf(30,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(x301,x302),f1(x302,x302)),x302),f1(x303,x302)))),
% 172.94/173.19 inference(scs_inference,[],[10,1,3])).
% 172.94/173.19 cnf(36,plain,
% 172.94/173.19 (P1(f1(f1(f1(x361,f1(x362,x361)),x362),f1(x363,x362)))),
% 172.94/173.19 inference(scs_inference,[],[13,1,3])).
% 172.94/173.19 cnf(45,plain,
% 172.94/173.19 (P1(f1(f1(x451,x452),f1(f1(f1(f1(x453,x452),f1(x452,x452)),x452),f1(x451,x452))))),
% 172.94/173.19 inference(scs_inference,[],[30,13,3])).
% 172.94/173.19 cnf(54,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(f1(x541,x542),f1(x542,x542)),x542),f1(x543,x542)),x543),f1(x544,x543)))),
% 172.94/173.19 inference(scs_inference,[],[45,1,3])).
% 172.94/173.19 cnf(83,plain,
% 172.94/173.19 (P1(f1(f1(x831,f1(x832,x831)),f1(x833,f1(x831,f1(x832,x831)))))),
% 172.94/173.19 inference(scs_inference,[],[1,19,3])).
% 172.94/173.19 cnf(104,plain,
% 172.94/173.19 (P1(f1(f1(x1041,f1(x1042,x1043)),f1(f1(f1(f1(x1044,x1042),f1(x1045,x1042)),f1(x1042,x1043)),f1(x1041,f1(x1042,x1043)))))),
% 172.94/173.19 inference(scs_inference,[],[5,13,3])).
% 172.94/173.19 cnf(110,plain,
% 172.94/173.19 (P1(f1(f1(f1(x1101,f1(x1102,x1103)),f1(f1(x1104,x1102),f1(x1105,x1102))),f1(x1106,f1(f1(x1104,x1102),f1(x1105,x1102)))))),
% 172.94/173.19 inference(scs_inference,[],[5,1,3])).
% 172.94/173.19 cnf(113,plain,
% 172.94/173.19 (P1(f1(x1131,f1(f1(x1132,x1133),f1(x1133,x1133))))),
% 172.94/173.19 inference(scs_inference,[],[5,110,3])).
% 172.94/173.19 cnf(117,plain,
% 172.94/173.19 (P1(f1(f1(x1171,x1172),f1(x1172,x1172)))),
% 172.94/173.19 inference(scs_inference,[],[5,113,3])).
% 172.94/173.19 cnf(123,plain,
% 172.94/173.19 (P1(f1(f1(x1231,x1232),f1(x1231,x1232)))),
% 172.94/173.19 inference(scs_inference,[],[8,117,3])).
% 172.94/173.19 cnf(132,plain,
% 172.94/173.19 (P1(f1(f1(x1321,x1322),f1(f1(x1321,x1322),f1(x1321,x1322))))),
% 172.94/173.19 inference(scs_inference,[],[13,123,3])).
% 172.94/173.19 cnf(137,plain,
% 172.94/173.19 (P1(f1(x1371,f1(f1(x1372,x1373),f1(f1(x1372,x1373),f1(x1372,x1373)))))),
% 172.94/173.19 inference(scs_inference,[],[132,83,3])).
% 172.94/173.19 cnf(140,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(x1401,x1402),f1(f1(x1401,x1402),f1(x1401,x1402))),x1403),f1(x1404,x1403)))),
% 172.94/173.19 inference(scs_inference,[],[137,4,6])).
% 172.94/173.19 cnf(141,plain,
% 172.94/173.19 (P1(f1(x1411,f1(f1(f1(x1412,x1413),f1(x1412,x1413)),f1(x1414,f1(f1(x1412,x1413),f1(x1412,x1413))))))),
% 172.94/173.19 inference(scs_inference,[],[140,6])).
% 172.94/173.19 cnf(148,plain,
% 172.94/173.19 (P1(f1(f1(f1(x1481,x1482),f1(x1481,x1482)),f1(x1483,f1(f1(x1481,x1482),f1(x1481,x1482)))))),
% 172.94/173.19 inference(scs_inference,[],[54,141,3])).
% 172.94/173.19 cnf(186,plain,
% 172.94/173.19 (P1(f1(f1(x1861,x1862),f1(f1(f1(f1(f1(x1863,x1864),f1(x1864,x1864)),f1(x1865,f1(f1(x1863,x1864),f1(x1864,x1864)))),x1862),f1(x1861,x1862))))),
% 172.94/173.19 inference(scs_inference,[],[29,13,3])).
% 172.94/173.19 cnf(189,plain,
% 172.94/173.19 (P1(f1(x1891,f1(f1(f1(f1(x1892,x1893),f1(x1893,x1893)),x1893),f1(f1(f1(x1892,x1893),f1(x1893,x1893)),x1893))))),
% 172.94/173.19 inference(scs_inference,[],[30,148,3])).
% 172.94/173.19 cnf(211,plain,
% 172.94/173.19 (P1(f1(f1(f1(x2111,x2112),f1(x2113,f1(x2112,x2113))),f1(x2114,f1(x2113,f1(x2112,x2113)))))),
% 172.94/173.19 inference(scs_inference,[],[36,1,3])).
% 172.94/173.19 cnf(214,plain,
% 172.94/173.19 (P1(f1(x2141,f1(f1(f1(x2142,x2143),f1(x2144,f1(x2143,x2144))),f1(f1(x2142,x2143),f1(x2144,f1(x2143,x2144))))))),
% 172.94/173.19 inference(scs_inference,[],[211,148,3])).
% 172.94/173.19 cnf(272,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(f1(x2721,x2722),f1(x2723,x2722)),f1(x2722,x2724)),f1(x2725,f1(x2722,x2724))),x2725),f1(x2726,x2725)))),
% 172.94/173.19 inference(scs_inference,[],[104,1,3])).
% 172.94/173.19 cnf(282,plain,
% 172.94/173.19 (P1(f1(f1(f1(x2821,f1(f1(x2822,x2823),f1(x2824,x2823))),f1(x2825,f1(x2823,x2826))),f1(x2827,f1(x2825,f1(x2823,x2826)))))),
% 172.94/173.19 inference(scs_inference,[],[110,1,3])).
% 172.94/173.19 cnf(289,plain,
% 172.94/173.19 (P1(f1(x2891,f1(x2892,f1(x2893,x2892))))),
% 172.94/173.19 inference(scs_inference,[],[117,6,4])).
% 172.94/173.19 cnf(298,plain,
% 172.94/173.19 (P1(f1(x2981,f1(x2982,x2981)))),
% 172.94/173.19 inference(scs_inference,[],[186,289,3])).
% 172.94/173.19 cnf(301,plain,
% 172.94/173.19 (P1(f1(x3011,f1(x3012,f1(f1(x3013,x3012),f1(x3014,x3012)))))),
% 172.94/173.19 inference(scs_inference,[],[298,6])).
% 172.94/173.19 cnf(307,plain,
% 172.94/173.19 (P1(f1(x3071,f1(f1(x3072,x3071),f1(x3073,x3071))))),
% 172.94/173.19 inference(scs_inference,[],[189,301,3])).
% 172.94/173.19 cnf(332,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(x3321,x3322),f1(x3323,f1(x3322,x3323))),f1(f1(x3321,x3322),f1(x3323,f1(x3322,x3323)))),x3324),f1(x3325,x3324)))),
% 172.94/173.19 inference(scs_inference,[],[214,6,4])).
% 172.94/173.19 cnf(344,plain,
% 172.94/173.19 (P1(f1(f1(f1(x3441,f1(x3442,x3441)),x3443),f1(x3444,x3443)))),
% 172.94/173.19 inference(scs_inference,[],[289,1,3])).
% 172.94/173.19 cnf(368,plain,
% 172.94/173.19 (P1(f1(x3681,f1(f1(f1(f1(x3682,x3683),f1(x3684,x3683)),x3685),f1(x3683,x3685))))),
% 172.94/173.19 inference(scs_inference,[],[1,282,3])).
% 172.94/173.19 cnf(372,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(f1(x3721,x3722),f1(x3723,x3722)),x3724),f1(x3722,x3724)),x3725),f1(x3726,x3725)))),
% 172.94/173.19 inference(scs_inference,[],[368,4,6])).
% 172.94/173.19 cnf(376,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(x3761,x3762),f1(x3763,x3762)),x3764),f1(x3762,x3764)))),
% 172.94/173.19 inference(scs_inference,[],[1,368,3])).
% 172.94/173.19 cnf(379,plain,
% 172.94/173.19 (P1(f1(f1(f1(x3791,x3792),f1(f1(x3793,x3791),f1(x3794,x3791))),f1(x3795,f1(f1(x3793,x3791),f1(x3794,x3791)))))),
% 172.94/173.19 inference(scs_inference,[],[1,376,3])).
% 172.94/173.19 cnf(382,plain,
% 172.94/173.19 (P1(f1(f1(f1(x3821,f1(f1(x3822,x3823),f1(x3824,x3823))),f1(x3823,x3825)),f1(x3826,f1(x3823,x3825))))),
% 172.94/173.19 inference(scs_inference,[],[1,379,3])).
% 172.94/173.19 cnf(388,plain,
% 172.94/173.19 (P1(f1(x3881,f1(f1(f1(x3882,x3883),x3882),f1(x3884,x3882))))),
% 172.94/173.19 inference(scs_inference,[],[1,110,3])).
% 172.94/173.19 cnf(392,plain,
% 172.94/173.19 (P1(f1(f1(f1(x3921,x3922),x3921),f1(x3923,x3921)))),
% 172.94/173.19 inference(scs_inference,[],[1,388,3])).
% 172.94/173.19 cnf(395,plain,
% 172.94/173.19 (P1(f1(f1(f1(x3951,x3952),f1(x3952,x3953)),f1(x3954,f1(x3952,x3953))))),
% 172.94/173.19 inference(scs_inference,[],[1,392,3])).
% 172.94/173.19 cnf(405,plain,
% 172.94/173.19 (P1(f1(x4051,f1(x4052,x4052)))),
% 172.94/173.19 inference(scs_inference,[],[30,395,3])).
% 172.94/173.19 cnf(409,plain,
% 172.94/173.19 (P1(f1(x4091,x4091))),
% 172.94/173.19 inference(scs_inference,[],[30,405,3])).
% 172.94/173.19 cnf(412,plain,
% 172.94/173.19 (P1(f1(f1(x4121,f1(x4122,x4122)),f1(x4123,f1(x4122,x4122))))),
% 172.94/173.19 inference(scs_inference,[],[409,307,3])).
% 172.94/173.19 cnf(418,plain,
% 172.94/173.19 (P1(f1(f1(f1(x4181,f1(x4182,x4182)),x4183),f1(x4184,x4183)))),
% 172.94/173.19 inference(scs_inference,[],[412,1,3])).
% 172.94/173.19 cnf(433,plain,
% 172.94/173.19 (P1(f1(x4331,f1(x4332,f1(x4333,f1(f1(x4334,x4332),f1(x4335,x4332))))))),
% 172.94/173.19 inference(scs_inference,[],[382,298,3])).
% 172.94/173.19 cnf(438,plain,
% 172.94/173.19 (P1(f1(x4381,f1(x4382,f1(f1(x4383,x4381),f1(x4384,x4381)))))),
% 172.94/173.19 inference(scs_inference,[],[272,433,3])).
% 172.94/173.19 cnf(445,plain,
% 172.94/173.19 (P1(f1(x4451,f1(f1(x4452,f1(x4453,x4453)),f1(x4454,f1(x4453,x4453)))))),
% 172.94/173.19 inference(scs_inference,[],[438,409,3])).
% 172.94/173.19 cnf(448,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(x4481,f1(x4482,x4482)),f1(x4483,f1(x4482,x4482))),x4484),f1(x4485,x4484)))),
% 172.94/173.19 inference(scs_inference,[],[445,4,6])).
% 172.94/173.19 cnf(449,plain,
% 172.94/173.19 (P1(f1(x4491,f1(x4492,f1(x4493,f1(x4494,x4494)))))),
% 172.94/173.19 inference(scs_inference,[],[448,418,3])).
% 172.94/173.19 cnf(453,plain,
% 172.94/173.19 (P1(f1(f1(f1(x4531,f1(x4532,f1(x4533,x4533))),x4534),f1(x4535,x4534)))),
% 172.94/173.19 inference(scs_inference,[],[449,4,6])).
% 172.94/173.19 cnf(454,plain,
% 172.94/173.19 (P1(f1(x4541,f1(x4542,f1(f1(x4543,x4544),f1(x4544,f1(x4544,x4544))))))),
% 172.94/173.19 inference(scs_inference,[],[453,332,3])).
% 172.94/173.19 cnf(458,plain,
% 172.94/173.19 (P1(f1(f1(f1(x4581,f1(f1(x4582,x4583),f1(x4583,f1(x4583,x4583)))),x4584),f1(x4585,x4584)))),
% 172.94/173.19 inference(scs_inference,[],[454,4,6])).
% 172.94/173.19 cnf(460,plain,
% 172.94/173.19 (P1(f1(x4601,f1(f1(f1(x4602,f1(f1(x4603,x4604),f1(x4604,f1(x4604,x4604)))),x4605),f1(x4606,x4605))))),
% 172.94/173.19 inference(scs_inference,[],[298,458,3])).
% 172.94/173.19 cnf(481,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(x4811,f1(f1(x4812,x4813),f1(x4813,f1(x4813,x4813)))),x4814),f1(x4815,x4814)),x4816),f1(x4817,x4816)))),
% 172.94/173.19 inference(scs_inference,[],[460,4,6])).
% 172.94/173.19 cnf(482,plain,
% 172.94/173.19 (P1(f1(f1(x4821,f1(f1(f1(x4822,x4823),x4822),f1(x4824,x4822))),f1(x4825,f1(f1(f1(x4822,x4823),x4822),f1(x4824,x4822)))))),
% 172.94/173.19 inference(scs_inference,[],[307,392,3])).
% 172.94/173.19 cnf(485,plain,
% 172.94/173.19 (P1(f1(x4851,f1(x4852,f1(f1(f1(x4853,x4854),x4853),f1(x4855,x4853)))))),
% 172.94/173.19 inference(scs_inference,[],[481,482,3])).
% 172.94/173.19 cnf(498,plain,
% 172.94/173.19 (P1(f1(x4981,f1(x4982,f1(x4983,f1(f1(f1(f1(x4984,x4985),f1(x4986,x4985)),x4987),f1(x4985,x4987))))))),
% 172.94/173.19 inference(scs_inference,[],[344,372,3])).
% 172.94/173.19 cnf(506,plain,
% 172.94/173.19 (P1(f1(x5061,f1(f1(f1(x5062,f1(x5063,x5064)),x5063),f1(x5065,x5063))))),
% 172.94/173.19 inference(scs_inference,[],[344,1,3])).
% 172.94/173.19 cnf(510,plain,
% 172.94/173.19 (P1(f1(f1(f1(x5101,f1(x5102,x5103)),x5102),f1(x5104,x5102)))),
% 172.94/173.19 inference(scs_inference,[],[344,506,3])).
% 172.94/173.19 cnf(542,plain,
% 172.94/173.19 (P1(f1(x5421,f1(x5422,f1(x5423,x5421))))),
% 172.94/173.19 inference(scs_inference,[],[376,392,3])).
% 172.94/173.19 cnf(546,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(x5461,x5462),x5461),f1(x5463,x5461)),x5464),f1(x5465,x5464)))),
% 172.94/173.19 inference(scs_inference,[],[388,4,6])).
% 172.94/173.19 cnf(555,plain,
% 172.94/173.19 (P1(f1(f1(f1(x5551,x5551),x5552),f1(x5553,x5552)))),
% 172.94/173.19 inference(scs_inference,[],[405,6,4])).
% 172.94/173.19 cnf(560,plain,
% 172.94/173.19 (P1(f1(f1(f1(x5601,f1(x5602,f1(f1(x5603,x5601),f1(x5604,x5601)))),x5605),f1(x5606,x5605)))),
% 172.94/173.19 inference(scs_inference,[],[433,4,6])).
% 172.94/173.19 cnf(566,plain,
% 172.94/173.19 (P1(f1(x5661,f1(f1(f1(f1(x5662,x5663),f1(x5663,f1(x5663,x5663))),x5664),f1(x5665,x5664))))),
% 172.94/173.19 inference(scs_inference,[],[458,1,3])).
% 172.94/173.19 cnf(574,plain,
% 172.94/173.19 (P1(f1(f1(f1(x5741,f1(f1(f1(x5742,x5743),x5742),f1(x5744,x5742))),x5745),f1(x5746,x5745)))),
% 172.94/173.19 inference(scs_inference,[],[485,6,4])).
% 172.94/173.19 cnf(575,plain,
% 172.94/173.19 (P1(f1(f1(f1(x5751,f1(x5752,f1(f1(f1(f1(x5753,x5754),f1(x5755,x5754)),x5756),f1(x5754,x5756)))),x5757),f1(x5758,x5757)))),
% 172.94/173.19 inference(scs_inference,[],[498,4,6])).
% 172.94/173.19 cnf(585,plain,
% 172.94/173.19 (P1(f1(x5851,f1(x5852,f1(f1(f1(x5853,f1(x5854,x5855)),x5854),f1(x5856,x5854)))))),
% 172.94/173.19 inference(scs_inference,[],[542,510,3])).
% 172.94/173.19 cnf(591,plain,
% 172.94/173.19 (P1(f1(x5911,f1(x5912,f1(f1(f1(x5913,x5913),x5914),f1(x5915,x5914)))))),
% 172.94/173.19 inference(scs_inference,[],[542,555,3])).
% 172.94/173.19 cnf(609,plain,
% 172.94/173.19 (P1(f1(x6091,f1(f1(f1(x6092,x6093),f1(x6093,x6094)),f1(x6095,f1(x6093,x6094)))))),
% 172.94/173.19 inference(scs_inference,[],[546,1,3])).
% 172.94/173.19 cnf(619,plain,
% 172.94/173.19 (P1(f1(x6191,f1(f1(f1(x6192,f1(f1(x6193,f1(x6194,x6195)),f1(x6196,f1(x6194,x6195)))),x6194),f1(x6197,x6194))))),
% 172.94/173.19 inference(scs_inference,[],[560,1,3])).
% 172.94/173.19 cnf(623,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(f1(x6231,x6232),f1(x6232,f1(x6232,x6232))),x6233),f1(x6234,x6233)),x6235),f1(x6236,x6235)))),
% 172.94/173.19 inference(scs_inference,[],[566,4,6])).
% 172.94/173.19 cnf(632,plain,
% 172.94/173.19 (P1(f1(x6321,f1(f1(f1(f1(f1(x6322,x6323),x6322),f1(x6324,x6322)),x6325),f1(x6326,x6325))))),
% 172.94/173.19 inference(scs_inference,[],[574,1,3])).
% 172.94/173.19 cnf(636,plain,
% 172.94/173.19 (P1(f1(x6361,f1(f1(f1(x6362,f1(f1(f1(f1(x6363,x6364),f1(x6365,x6364)),x6366),f1(x6364,x6366))),x6367),f1(x6368,x6367))))),
% 172.94/173.19 inference(scs_inference,[],[575,1,3])).
% 172.94/173.19 cnf(652,plain,
% 172.94/173.19 (P1(f1(f1(f1(x6521,f1(f1(f1(x6522,f1(x6523,x6524)),x6523),f1(x6525,x6523))),x6526),f1(x6527,x6526)))),
% 172.94/173.19 inference(scs_inference,[],[585,4,6])).
% 172.94/173.19 cnf(654,plain,
% 172.94/173.19 (P1(f1(f1(f1(x6541,f1(f1(f1(x6542,x6542),x6543),f1(x6544,x6543))),x6545),f1(x6546,x6545)))),
% 172.94/173.19 inference(scs_inference,[],[591,4,6])).
% 172.94/173.19 cnf(672,plain,
% 172.94/173.19 (P1(f1(f1(f1(x6721,f1(f1(x6722,f1(x6723,x6724)),f1(x6725,f1(x6723,x6724)))),x6723),f1(x6726,x6723)))),
% 172.94/173.19 inference(scs_inference,[],[619,654,3])).
% 172.94/173.19 cnf(683,plain,
% 172.94/173.19 (P1(f1(x6831,f1(x6832,f1(f1(f1(f1(x6833,x6834),f1(x6834,f1(x6834,x6834))),x6835),f1(x6836,x6835)))))),
% 172.94/173.19 inference(scs_inference,[],[623,298,3])).
% 172.94/173.19 cnf(689,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(f1(f1(x6891,x6892),x6891),f1(x6893,x6891)),x6894),f1(x6895,x6894)),x6896),f1(x6897,x6896)))),
% 172.94/173.19 inference(scs_inference,[],[632,4,6])).
% 172.94/173.19 cnf(691,plain,
% 172.94/173.19 (P1(f1(f1(f1(x6911,f1(f1(f1(f1(x6912,x6913),f1(x6914,x6913)),x6915),f1(x6913,x6915))),x6916),f1(x6917,x6916)))),
% 172.94/173.19 inference(scs_inference,[],[636,672,3])).
% 172.94/173.19 cnf(700,plain,
% 172.94/173.19 (P1(f1(x7001,f1(f1(f1(f1(f1(x7002,f1(x7003,x7004)),x7003),f1(x7005,x7003)),x7006),f1(x7007,x7006))))),
% 172.94/173.19 inference(scs_inference,[],[652,1,3])).
% 172.94/173.19 cnf(736,plain,
% 172.94/173.19 (P1(f1(f1(f1(x7361,f1(f1(f1(f1(x7362,x7363),f1(x7363,f1(x7363,x7363))),x7364),f1(x7365,x7364))),x7366),f1(x7367,x7366)))),
% 172.94/173.19 inference(scs_inference,[],[683,6,4])).
% 172.94/173.19 cnf(737,plain,
% 172.94/173.19 (P1(f1(x7371,f1(f1(f1(f1(f1(f1(x7372,x7373),f1(x7374,x7373)),x7375),f1(x7373,x7375)),x7376),f1(x7377,x7376))))),
% 172.94/173.19 inference(scs_inference,[],[691,1,3])).
% 172.94/173.19 cnf(746,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(x7461,f1(x7462,x7463)),x7462),f1(x7464,x7462)),x7465),f1(x7466,x7465)))),
% 172.94/173.19 inference(scs_inference,[],[700,736,3])).
% 172.94/173.19 cnf(769,plain,
% 172.94/173.19 (P1(f1(x7691,f1(f1(f1(f1(f1(f1(x7692,x7693),f1(x7693,f1(x7693,x7693))),x7694),f1(x7695,x7694)),x7696),f1(x7697,x7696))))),
% 172.94/173.19 inference(scs_inference,[],[736,1,3])).
% 172.94/173.19 cnf(773,plain,
% 172.94/173.19 (P1(f1(f1(f1(f1(f1(f1(f1(f1(x7731,x7732),f1(x7733,x7732)),x7734),f1(x7732,x7734)),x7735),f1(x7736,x7735)),x7737),f1(x7738,x7737)))),
% 172.94/173.19 inference(scs_inference,[],[737,6,4])).
% 172.94/173.19 cnf(779,plain,
% 172.94/173.20 (P1(f1(x7791,f1(f1(f1(x7792,x7793),f1(x7794,f1(x7793,x7795))),f1(x7796,f1(x7794,f1(x7793,x7795))))))),
% 172.94/173.20 inference(scs_inference,[],[746,1,3])).
% 172.94/173.20 cnf(805,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(f1(f1(f1(x8051,x8052),f1(x8052,f1(x8052,x8052))),x8053),f1(x8054,x8053)),x8055),f1(x8056,x8055)),x8057),f1(x8058,x8057)))),
% 172.94/173.20 inference(scs_inference,[],[769,4,6])).
% 172.94/173.20 cnf(806,plain,
% 172.94/173.20 (P1(f1(x8061,f1(x8062,f1(f1(f1(f1(f1(f1(x8063,x8064),f1(x8065,x8064)),x8066),f1(x8064,x8066)),x8067),f1(x8068,x8067)))))),
% 172.94/173.20 inference(scs_inference,[],[773,298,3])).
% 172.94/173.20 cnf(815,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(x8151,x8152),f1(x8153,f1(x8152,x8154))),f1(x8155,f1(x8153,f1(x8152,x8154)))),x8156),f1(x8157,x8156)))),
% 172.94/173.20 inference(scs_inference,[],[779,4,6])).
% 172.94/173.20 cnf(816,plain,
% 172.94/173.20 (P1(f1(f1(f1(x8161,x8162),f1(x8163,f1(x8162,x8164))),f1(x8165,f1(x8163,f1(x8162,x8164)))))),
% 172.94/173.20 inference(scs_inference,[],[779,805,3])).
% 172.94/173.20 cnf(831,plain,
% 172.94/173.20 (P1(f1(f1(f1(x8311,f1(f1(f1(f1(f1(f1(x8312,x8313),f1(x8314,x8313)),x8315),f1(x8313,x8315)),x8316),f1(x8317,x8316))),x8318),f1(x8319,x8318)))),
% 172.94/173.20 inference(scs_inference,[],[806,4,6])).
% 172.94/173.20 cnf(837,plain,
% 172.94/173.20 (P1(f1(x8371,f1(f1(f1(x8372,f1(x8373,f1(x8374,x8375))),f1(x8376,x8374)),f1(x8377,f1(x8376,x8374)))))),
% 172.94/173.20 inference(scs_inference,[],[815,1,3])).
% 172.94/173.20 cnf(854,plain,
% 172.94/173.20 (P1(f1(x8541,f1(f1(f1(f1(f1(f1(f1(f1(x8542,x8543),f1(x8544,x8543)),x8545),f1(x8543,x8545)),x8546),f1(x8547,x8546)),x8548),f1(x8549,x8548))))),
% 172.94/173.20 inference(scs_inference,[],[831,1,3])).
% 172.94/173.20 cnf(860,plain,
% 172.94/173.20 (P1(f1(f1(f1(x8601,f1(x8602,f1(x8603,x8604))),f1(x8605,x8603)),f1(x8606,f1(x8605,x8603))))),
% 172.94/173.20 inference(scs_inference,[],[837,689,3])).
% 172.94/173.20 cnf(865,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(f1(f1(f1(f1(f1(x8651,x8652),f1(x8653,x8652)),x8654),f1(x8652,x8654)),x8655),f1(x8656,x8655)),x8657),f1(x8658,x8657)),x8659),f1(x86510,x8659)))),
% 172.94/173.20 inference(scs_inference,[],[854,6,4])).
% 172.94/173.20 cnf(870,plain,
% 172.94/173.20 (P1(f1(x8701,f1(f1(f1(x8702,f1(f1(x8703,x8704),x8705)),x8704),f1(x8703,x8704))))),
% 172.94/173.20 inference(scs_inference,[],[860,1,3])).
% 172.94/173.20 cnf(875,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(x8751,f1(f1(x8752,x8753),x8754)),x8753),f1(x8752,x8753)),x8755),f1(x8756,x8755)))),
% 172.94/173.20 inference(scs_inference,[],[870,4,6])).
% 172.94/173.20 cnf(879,plain,
% 172.94/173.20 (P1(f1(x8791,f1(x8792,f1(f1(f1(x8793,f1(f1(x8794,x8795),x8796)),x8795),f1(x8794,x8795)))))),
% 172.94/173.20 inference(scs_inference,[],[875,298,3])).
% 172.94/173.20 cnf(883,plain,
% 172.94/173.20 (P1(f1(f1(f1(x8831,f1(f1(f1(x8832,f1(f1(x8833,x8834),x8835)),x8834),f1(x8833,x8834))),x8836),f1(x8837,x8836)))),
% 172.94/173.20 inference(scs_inference,[],[879,6,4])).
% 172.94/173.20 cnf(884,plain,
% 172.94/173.20 (P1(f1(x8841,f1(f1(f1(f1(f1(x8842,f1(f1(x8843,x8844),x8845)),x8844),f1(x8843,x8844)),x8846),f1(x8847,x8846))))),
% 172.94/173.20 inference(scs_inference,[],[883,1,3])).
% 172.94/173.20 cnf(888,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(f1(f1(x8881,f1(f1(x8882,x8883),x8884)),x8883),f1(x8882,x8883)),x8885),f1(x8886,x8885)),x8887),f1(x8888,x8887)))),
% 172.94/173.20 inference(scs_inference,[],[884,4,6])).
% 172.94/173.20 cnf(901,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(x9011,x9012),f1(x9012,x9013)),f1(x9014,f1(x9012,x9013))),x9015),f1(x9016,x9015)))),
% 172.94/173.20 inference(scs_inference,[],[1,609,3])).
% 172.94/173.20 cnf(905,plain,
% 172.94/173.20 (P1(f1(x9051,f1(f1(f1(x9052,f1(x9053,x9054)),f1(x9055,x9053)),f1(x9056,f1(x9055,x9053)))))),
% 172.94/173.20 inference(scs_inference,[],[1,901,3])).
% 172.94/173.20 cnf(952,plain,
% 172.94/173.20 (P1(f1(x9521,f1(f1(f1(x9522,x9521),x9523),f1(x9524,x9523))))),
% 172.94/173.20 inference(scs_inference,[],[376,1,3])).
% 172.94/173.20 cnf(983,plain,
% 172.94/173.20 (P1(f1(x9831,f1(x9832,f1(f1(f1(x9833,x9834),x9835),f1(f1(x9835,x9833),f1(x9836,x9833))))))),
% 172.94/173.20 inference(scs_inference,[],[542,1,3])).
% 172.94/173.20 cnf(1018,plain,
% 172.94/173.20 (P1(f1(x10181,f1(f1(f1(x10182,f1(x10183,x10184)),x10185),f1(x10184,x10185))))),
% 172.94/173.20 inference(scs_inference,[],[816,952,3])).
% 172.94/173.20 cnf(1026,plain,
% 172.94/173.20 (P1(f1(f1(f1(x10261,f1(x10262,x10263)),f1(x10264,x10262)),f1(x10265,f1(x10264,x10262))))),
% 172.94/173.20 inference(scs_inference,[],[905,888,3])).
% 172.94/173.20 cnf(1070,plain,
% 172.94/173.20 (P1(f1(f1(f1(x10701,f1(f1(f1(x10702,x10703),x10704),f1(f1(x10704,x10702),f1(x10705,x10702)))),x10706),f1(x10707,x10706)))),
% 172.94/173.20 inference(scs_inference,[],[983,6,4])).
% 172.94/173.20 cnf(1071,plain,
% 172.94/173.20 (P1(f1(x10711,f1(f1(f1(x10712,x10713),x10714),f1(f1(x10714,x10712),f1(x10715,x10712)))))),
% 172.94/173.20 inference(scs_inference,[],[983,865,3])).
% 172.94/173.20 cnf(1088,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(x10881,f1(x10882,x10883)),x10884),f1(x10883,x10884)),x10885),f1(x10886,x10885)))),
% 172.94/173.20 inference(scs_inference,[],[1018,6,4])).
% 172.94/173.20 cnf(1097,plain,
% 172.94/173.20 (P1(f1(x10971,f1(f1(f1(f1(x10972,x10973),x10974),x10973),f1(x10972,x10973))))),
% 172.94/173.20 inference(scs_inference,[],[1026,1,3])).
% 172.94/173.20 cnf(1123,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(x11231,x11232),x11233),f1(f1(x11233,x11231),f1(x11234,x11231))),x11235),f1(x11236,x11235)))),
% 172.94/173.20 inference(scs_inference,[],[1071,6,4])).
% 172.94/173.20 cnf(1140,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(f1(x11401,x11402),x11403),x11402),f1(x11401,x11402)),x11404),f1(x11405,x11404)))),
% 172.94/173.20 inference(scs_inference,[],[1097,6,4])).
% 172.94/173.20 cnf(1168,plain,
% 172.94/173.20 (P1(f1(x11681,f1(x11682,f1(f1(f1(f1(f1(x11683,x11684),x11685),f1(f1(x11685,x11683),f1(x11686,x11683))),x11687),f1(x11688,x11687)))))),
% 172.94/173.20 inference(scs_inference,[],[1123,1070,3])).
% 172.94/173.20 cnf(1206,plain,
% 172.94/173.20 (P1(f1(x12061,f1(f1(f1(x12062,x12063),f1(f1(x12062,x12063),x12064)),f1(x12065,f1(f1(x12062,x12063),x12064)))))),
% 172.94/173.20 inference(scs_inference,[],[1140,1,3])).
% 172.94/173.20 cnf(1230,plain,
% 172.94/173.20 (P1(f1(f1(f1(x12301,f1(f1(f1(f1(f1(x12302,x12303),x12304),f1(f1(x12304,x12302),f1(x12305,x12302))),x12306),f1(x12307,x12306))),x12308),f1(x12309,x12308)))),
% 172.94/173.20 inference(scs_inference,[],[1168,6,4])).
% 172.94/173.20 cnf(1246,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(x12461,x12462),f1(f1(x12461,x12462),x12463)),f1(x12464,f1(f1(x12461,x12462),x12463))),x12465),f1(x12466,x12465)))),
% 172.94/173.20 inference(scs_inference,[],[1206,4,6])).
% 172.94/173.20 cnf(1247,plain,
% 172.94/173.20 (P1(f1(f1(f1(x12471,x12472),f1(f1(x12471,x12472),x12473)),f1(x12474,f1(f1(x12471,x12472),x12473))))),
% 172.94/173.20 inference(scs_inference,[],[1206,1246,3])).
% 172.94/173.20 cnf(1286,plain,
% 172.94/173.20 (P1(f1(x12861,f1(f1(f1(f1(f1(f1(f1(x12862,x12863),x12864),f1(f1(x12864,x12862),f1(x12865,x12862))),x12866),f1(x12867,x12866)),x12868),f1(x12869,x12868))))),
% 172.94/173.20 inference(scs_inference,[],[1230,1,3])).
% 172.94/173.20 cnf(1303,plain,
% 172.94/173.20 (P1(f1(x13031,f1(x13032,f1(f1(f1(x13033,x13034),f1(f1(x13033,x13034),x13035)),f1(f1(x13033,x13034),x13035)))))),
% 172.94/173.20 inference(scs_inference,[],[1246,1247,3])).
% 172.94/173.20 cnf(1347,plain,
% 172.94/173.20 (P1(f1(x13471,f1(f1(f1(f1(f1(x13472,f1(x13473,x13474)),x13475),f1(x13474,x13475)),x13476),x13476)))),
% 172.94/173.20 inference(scs_inference,[],[1247,1088,3])).
% 172.94/173.20 cnf(1351,plain,
% 172.94/173.20 (P1(f1(x13511,f1(f1(f1(x13512,f1(x13513,f1(x13514,x13515))),f1(x13516,x13514)),f1(x13516,x13514))))),
% 172.94/173.20 inference(scs_inference,[],[1247,860,3])).
% 172.94/173.20 cnf(1355,plain,
% 172.94/173.20 (P1(f1(x13551,f1(f1(f1(f1(f1(f1(f1(x13552,x13553),x13552),f1(x13554,x13552)),x13555),f1(x13556,x13555)),x13557),x13557)))),
% 172.94/173.20 inference(scs_inference,[],[1247,689,3])).
% 172.94/173.20 cnf(1389,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(f1(f1(f1(f1(x13891,x13892),x13893),f1(f1(x13893,x13891),f1(x13894,x13891))),x13895),f1(x13896,x13895)),x13897),f1(x13898,x13897)),x13899),f1(x138910,x13899)))),
% 172.94/173.20 inference(scs_inference,[],[1286,4,6])).
% 172.94/173.20 cnf(1390,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(f1(f1(x13901,x13902),x13903),f1(f1(x13903,x13901),f1(x13904,x13901))),x13905),f1(x13906,x13905)),x13907),f1(x13908,x13907)))),
% 172.94/173.20 inference(scs_inference,[],[1286,1389,3])).
% 172.94/173.20 cnf(1396,plain,
% 172.94/173.20 (P1(f1(x13961,f1(f1(f1(x13962,x13963),f1(f1(x13962,x13963),x13964)),f1(f1(x13962,x13963),x13964))))),
% 172.94/173.20 inference(scs_inference,[],[1303,1390,3])).
% 172.94/173.20 cnf(1440,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(f1(f1(x14401,f1(x14402,x14403)),x14404),f1(x14403,x14404)),x14405),x14405),x14406),f1(x14407,x14406)))),
% 172.94/173.20 inference(scs_inference,[],[1347,6,4])).
% 172.94/173.20 cnf(1444,plain,
% 172.94/173.20 (P1(f1(f1(f1(x14441,f1(x14442,f1(x14443,x14444))),f1(x14445,x14443)),f1(x14445,x14443)))),
% 172.94/173.20 inference(scs_inference,[],[1351,1440,3])).
% 172.94/173.20 cnf(1449,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(f1(f1(x14491,x14492),x14491),f1(x14493,x14491)),x14494),f1(x14495,x14494)),x14496),x14496))),
% 172.94/173.20 inference(scs_inference,[],[1355,1444,3])).
% 172.94/173.20 cnf(1516,plain,
% 172.94/173.20 (P1(f1(f1(f1(f1(f1(x15161,x15162),f1(f1(x15161,x15162),x15163)),f1(f1(x15161,x15162),x15163)),x15164),f1(x15165,x15164)))),
% 172.94/173.20 inference(scs_inference,[],[1396,4,6])).
% 172.94/173.20 cnf(1638,plain,
% 172.94/173.20 (P1(f1(x16381,f1(x16382,f1(f1(f1(x16383,x16384),x16383),x16383))))),
% 172.94/173.20 inference(scs_inference,[],[1449,1516,3])).
% 172.94/173.20 cnf(1642,plain,
% 172.94/173.20 (P1(f1(x16421,f1(f1(f1(x16422,x16423),x16422),x16422)))),
% 172.94/173.20 inference(scs_inference,[],[1449,1638,3])).
% 172.94/173.20 cnf(1646,plain,
% 172.94/173.20 ($false),
% 172.94/173.20 inference(scs_inference,[],[1449,1642,2,3]),
% 172.94/173.20 ['proof']).
% 172.94/173.20 % SZS output end Proof
% 172.94/173.20 % Total time :172.230000s
%------------------------------------------------------------------------------