TSTP Solution File: SET175+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET175+3 : TPTP v8.1.2. Released v2.2.0.
% 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 14:29:05 EDT 2023
% Result : Theorem 121.30s 121.62s
% Output : CNFRefutation 121.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET175+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:16:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 121.30/121.60 %-------------------------------------------
% 121.30/121.60 % File :CSE---1.6
% 121.30/121.60 % Problem :theBenchmark
% 121.30/121.60 % Transform :cnf
% 121.30/121.60 % Format :tptp:raw
% 121.30/121.60 % Command :java -jar mcs_scs.jar %d %s
% 121.30/121.60
% 121.30/121.60 % Result :Theorem 120.680000s
% 121.30/121.60 % Output :CNFRefutation 120.680000s
% 121.30/121.60 %-------------------------------------------
% 121.30/121.61 %--------------------------------------------------------------------------
% 121.30/121.61 % File : SET175+3 : TPTP v8.1.2. Released v2.2.0.
% 121.30/121.61 % Domain : Set Theory
% 121.30/121.61 % Problem : Absorbtion for union
% 121.30/121.61 % Version : [Try90] axioms : Reduced > Incomplete.
% 121.30/121.61 % English : The union of X and the intersection of X and Y is X.
% 121.30/121.61
% 121.30/121.61 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 121.30/121.61 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory
% 121.30/121.61 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 121.30/121.61 % Source : [ILF]
% 121.30/121.61 % Names : BOOLE (69) [TS89]
% 121.30/121.61
% 121.30/121.61 % Status : Theorem
% 121.30/121.61 % Rating : 0.22 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.13 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.24 v6.1.0, 0.33 v6.0.0, 0.35 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.52 v5.2.0, 0.35 v5.1.0, 0.33 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.2.0, 0.18 v3.1.0, 0.22 v2.7.0, 0.00 v2.6.0, 0.14 v2.5.0, 0.12 v2.4.0, 0.00 v2.2.1
% 121.30/121.61 % Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% 121.30/121.61 % Number of atoms : 19 ( 5 equ)
% 121.30/121.61 % Maximal formula atoms : 3 ( 2 avg)
% 121.30/121.61 % Number of connectives : 10 ( 0 ~; 1 |; 2 &)
% 121.30/121.61 % ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% 121.30/121.61 % Maximal formula depth : 6 ( 4 avg)
% 121.30/121.61 % Maximal term depth : 3 ( 1 avg)
% 121.30/121.61 % Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty)
% 121.30/121.61 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 121.30/121.61 % Number of variables : 21 ( 21 !; 0 ?)
% 121.30/121.61 % SPC : FOF_THM_RFO_SEQ
% 121.30/121.61
% 121.30/121.61 % Comments :
% 121.30/121.61 %--------------------------------------------------------------------------
% 121.30/121.62 %---- line(boole - df(2),1833042)
% 121.30/121.62 fof(union_defn,axiom,
% 121.30/121.62 ! [B,C,D] :
% 121.30/121.62 ( member(D,union(B,C))
% 121.30/121.62 <=> ( member(D,B)
% 121.30/121.62 | member(D,C) ) ) ).
% 121.30/121.62
% 121.30/121.62 %---- line(boole - df(3),1833060)
% 121.30/121.62 fof(intersection_defn,axiom,
% 121.30/121.62 ! [B,C,D] :
% 121.30/121.62 ( member(D,intersection(B,C))
% 121.30/121.62 <=> ( member(D,B)
% 121.30/121.62 & member(D,C) ) ) ).
% 121.30/121.62
% 121.30/121.62 %---- line(boole - df(8),1833103)
% 121.30/121.62 fof(equal_defn,axiom,
% 121.30/121.62 ! [B,C] :
% 121.30/121.62 ( B = C
% 121.30/121.62 <=> ( subset(B,C)
% 121.30/121.62 & subset(C,B) ) ) ).
% 121.30/121.62
% 121.30/121.62 %---- property(commutativity,op(union,2,function))
% 121.30/121.62 fof(commutativity_of_union,axiom,
% 121.30/121.62 ! [B,C] : union(B,C) = union(C,B) ).
% 121.30/121.62
% 121.30/121.62 %---- property(commutativity,op(intersection,2,function))
% 121.30/121.62 fof(commutativity_of_intersection,axiom,
% 121.30/121.62 ! [B,C] : intersection(B,C) = intersection(C,B) ).
% 121.30/121.62
% 121.30/121.62 %---- line(tarski - df(3),1832749)
% 121.30/121.62 fof(subset_defn,axiom,
% 121.30/121.62 ! [B,C] :
% 121.30/121.62 ( subset(B,C)
% 121.30/121.62 <=> ! [D] :
% 121.30/121.62 ( member(D,B)
% 121.30/121.62 => member(D,C) ) ) ).
% 121.30/121.62
% 121.30/121.62 %---- property(reflexivity,op(subset,2,predicate))
% 121.30/121.62 fof(reflexivity_of_subset,axiom,
% 121.30/121.62 ! [B] : subset(B,B) ).
% 121.30/121.62
% 121.30/121.62 %---- line(hidden - axiom112,1832615)
% 121.30/121.62 fof(equal_member_defn,axiom,
% 121.30/121.62 ! [B,C] :
% 121.30/121.62 ( B = C
% 121.30/121.62 <=> ! [D] :
% 121.30/121.62 ( member(D,B)
% 121.30/121.62 <=> member(D,C) ) ) ).
% 121.30/121.62
% 121.30/121.62 %---- line(boole - th(69),1833784)
% 121.30/121.62 fof(prove_absorbtion_for_union,conjecture,
% 121.30/121.62 ! [B,C] : union(B,intersection(B,C)) = B ).
% 121.30/121.62
% 121.30/121.62 %--------------------------------------------------------------------------
% 121.30/121.62 %-------------------------------------------
% 121.30/121.62 % Proof found
% 121.30/121.62 % SZS status Theorem for theBenchmark
% 121.30/121.62 % SZS output start Proof
% 121.30/121.62 %ClaNum:33(EqnAxiom:15)
% 121.30/121.62 %VarNum:86(SingletonVarNum:38)
% 121.30/121.62 %MaxLitNum:3
% 121.30/121.62 %MaxfuncDepth:2
% 121.30/121.62 %SharedTerms:5
% 121.30/121.62 %goalClause: 19
% 121.30/121.62 %singleGoalClaCount:1
% 121.30/121.62 [19]~E(f1(a3,f2(a3,a6)),a3)
% 121.30/121.62 [16]P1(x161,x161)
% 121.30/121.62 [17]E(f1(x171,x172),f1(x172,x171))
% 121.30/121.62 [18]E(f2(x181,x182),f2(x182,x181))
% 121.30/121.62 [21]~E(x211,x212)+P1(x211,x212)
% 121.30/121.62 [23]P1(x231,x232)+P2(f4(x231,x232),x231)
% 121.30/121.62 [29]P1(x291,x292)+~P2(f4(x291,x292),x292)
% 121.30/121.62 [25]~P2(x251,x253)+P2(x251,f1(x252,x253))
% 121.30/121.62 [26]~P2(x261,x262)+P2(x261,f1(x262,x263))
% 121.30/121.62 [27]P2(x271,x272)+~P2(x271,f2(x273,x272))
% 121.30/121.62 [28]P2(x281,x282)+~P2(x281,f2(x282,x283))
% 121.30/121.62 [22]~P1(x222,x221)+~P1(x221,x222)+E(x221,x222)
% 121.30/121.62 [30]E(x301,x302)+P2(f5(x301,x302),x302)+P2(f5(x301,x302),x301)
% 121.30/121.62 [33]E(x331,x332)+~P2(f5(x331,x332),x332)+~P2(f5(x331,x332),x331)
% 121.30/121.62 [24]~P1(x243,x242)+P2(x241,x242)+~P2(x241,x243)
% 121.30/121.62 [31]~P2(x311,x313)+~P2(x311,x312)+P2(x311,f2(x312,x313))
% 121.30/121.62 [32]P2(x321,x322)+P2(x321,x323)+~P2(x321,f1(x323,x322))
% 121.30/121.62 %EqnAxiom
% 121.30/121.62 [1]E(x11,x11)
% 121.30/121.62 [2]E(x22,x21)+~E(x21,x22)
% 121.30/121.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 121.30/121.62 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 121.30/121.62 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 121.30/121.62 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 121.30/121.62 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 121.30/121.62 [8]~E(x81,x82)+E(f2(x81,x83),f2(x82,x83))
% 121.30/121.62 [9]~E(x91,x92)+E(f2(x93,x91),f2(x93,x92))
% 121.30/121.62 [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103))
% 121.30/121.62 [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112))
% 121.30/121.62 [12]P1(x122,x123)+~E(x121,x122)+~P1(x121,x123)
% 121.30/121.62 [13]P1(x133,x132)+~E(x131,x132)+~P1(x133,x131)
% 121.30/121.62 [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143)
% 121.30/121.62 [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151)
% 121.30/121.62
% 121.30/121.62 %-------------------------------------------
% 121.30/121.63 cnf(34,plain,
% 121.30/121.63 (P1(f1(x341,x342),f1(x342,x341))),
% 121.30/121.63 inference(scs_inference,[],[16,17,13])).
% 121.30/121.63 cnf(35,plain,
% 121.30/121.63 (P1(x351,x351)),
% 121.30/121.63 inference(rename_variables,[],[16])).
% 121.30/121.63 cnf(36,plain,
% 121.30/121.63 (~E(a3,f1(a3,f2(a3,a6)))),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,13,2])).
% 121.30/121.63 cnf(37,plain,
% 121.30/121.63 (P1(f2(x371,x372),f2(x372,x371))),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,18,13,2,21])).
% 121.30/121.63 cnf(40,plain,
% 121.30/121.63 (E(f4(f1(x401,x402),x403),f4(f1(x402,x401),x403))),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10])).
% 121.30/121.63 cnf(41,plain,
% 121.30/121.63 (E(f2(x411,f1(x412,x413)),f2(x411,f1(x413,x412)))),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9])).
% 121.30/121.63 cnf(42,plain,
% 121.30/121.63 (E(f2(f1(x421,x422),x423),f2(f1(x422,x421),x423))),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8])).
% 121.30/121.63 cnf(43,plain,
% 121.30/121.63 (E(f5(x431,f1(x432,x433)),f5(x431,f1(x433,x432)))),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8,7])).
% 121.30/121.63 cnf(44,plain,
% 121.30/121.63 (E(f5(f1(x441,x442),x443),f5(f1(x442,x441),x443))),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8,7,6])).
% 121.30/121.63 cnf(45,plain,
% 121.30/121.63 (E(f1(x451,f1(x452,x453)),f1(x451,f1(x453,x452)))),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8,7,6,5])).
% 121.30/121.63 cnf(46,plain,
% 121.30/121.63 (E(f1(f1(x461,x462),x463),f1(f1(x462,x461),x463))),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8,7,6,5,4])).
% 121.30/121.63 cnf(47,plain,
% 121.30/121.63 (~E(f1(f2(a3,a6),a3),a3)),
% 121.30/121.63 inference(scs_inference,[],[19,16,17,18,13,2,21,11,10,9,8,7,6,5,4,3])).
% 121.30/121.63 cnf(51,plain,
% 121.30/121.63 (~P2(x511,x512)+P2(x511,f2(x512,x512))),
% 121.30/121.63 inference(scs_inference,[],[19,16,35,17,18,13,2,21,11,10,9,8,7,6,5,4,3,24,31])).
% 121.30/121.63 cnf(67,plain,
% 121.30/121.63 (P1(f2(x671,f1(x672,x673)),f2(x671,f1(x673,x672)))),
% 121.30/121.63 inference(scs_inference,[],[41,21])).
% 121.30/121.63 cnf(69,plain,
% 121.30/121.63 (E(f4(x691,f2(x692,x693)),f4(x691,f2(x693,x692)))),
% 121.30/121.63 inference(scs_inference,[],[18,41,21,11])).
% 121.30/121.63 cnf(71,plain,
% 121.30/121.63 (E(f5(f2(x711,x712),x713),f5(f2(x712,x711),x713))),
% 121.30/121.63 inference(scs_inference,[],[18,41,21,11,10,6])).
% 121.30/121.63 cnf(72,plain,
% 121.30/121.63 (E(f1(f2(x721,x722),x723),f1(f2(x722,x721),x723))),
% 121.30/121.63 inference(scs_inference,[],[18,41,21,11,10,6,4])).
% 121.30/121.63 cnf(73,plain,
% 121.30/121.63 (E(f2(x731,f2(x732,x733)),f2(x731,f2(x733,x732)))),
% 121.30/121.63 inference(scs_inference,[],[18,41,21,11,10,6,4,9])).
% 121.30/121.63 cnf(74,plain,
% 121.30/121.63 (E(f2(f2(x741,x742),x743),f2(f2(x742,x741),x743))),
% 121.30/121.63 inference(scs_inference,[],[18,41,21,11,10,6,4,9,8])).
% 121.30/121.63 cnf(75,plain,
% 121.30/121.63 (E(f5(x751,f2(x752,x753)),f5(x751,f2(x753,x752)))),
% 121.30/121.63 inference(scs_inference,[],[18,41,21,11,10,6,4,9,8,7])).
% 121.30/121.63 cnf(76,plain,
% 121.30/121.63 (E(f1(x761,f2(x762,x763)),f1(x761,f2(x763,x762)))),
% 121.30/121.63 inference(scs_inference,[],[18,41,21,11,10,6,4,9,8,7,5])).
% 121.30/121.63 cnf(77,plain,
% 121.30/121.63 (~E(a3,f1(f2(a3,a6),a3))),
% 121.30/121.63 inference(scs_inference,[],[18,47,41,21,11,10,6,4,9,8,7,5,2])).
% 121.30/121.63 cnf(78,plain,
% 121.30/121.63 (P1(f2(x781,f1(x782,x783)),f2(f1(x783,x782),x781))),
% 121.30/121.63 inference(scs_inference,[],[18,67,13])).
% 121.30/121.63 cnf(79,plain,
% 121.30/121.63 (P1(f2(x791,f1(x792,x793)),f2(x791,f1(x793,x792)))),
% 121.30/121.63 inference(rename_variables,[],[67])).
% 121.30/121.63 cnf(80,plain,
% 121.30/121.63 (E(f2(x801,x802),f2(x802,x801))),
% 121.30/121.63 inference(rename_variables,[],[18])).
% 121.30/121.63 cnf(81,plain,
% 121.30/121.63 (P1(f2(f1(x811,x812),x813),f2(x813,f1(x812,x811)))),
% 121.30/121.63 inference(scs_inference,[],[18,80,67,79,13,12])).
% 121.30/121.63 cnf(86,plain,
% 121.30/121.63 (P1(f1(f2(x861,x862),x863),f1(x863,f2(x862,x861)))),
% 121.30/121.63 inference(scs_inference,[],[34,69,72,16,13,12])).
% 121.30/121.63 cnf(88,plain,
% 121.30/121.63 (~P2(x881,x882)+P2(x881,f1(x883,f1(x882,x884)))),
% 121.30/121.63 inference(scs_inference,[],[25,26])).
% 121.30/121.63 cnf(89,plain,
% 121.30/121.63 (~E(a3,f1(a3,f2(a6,a3)))),
% 121.30/121.63 inference(scs_inference,[],[36,76,3])).
% 121.30/121.63 cnf(92,plain,
% 121.30/121.63 (~P2(x921,f1(x922,x923))+P2(x921,f1(x923,x922))),
% 121.30/121.63 inference(scs_inference,[],[18,36,34,76,3,15,24])).
% 121.30/121.63 cnf(97,plain,
% 121.30/121.63 (~E(a3,f1(f2(a6,a3),a3))),
% 121.30/121.63 inference(scs_inference,[],[77,72,3])).
% 121.30/121.63 cnf(99,plain,
% 121.30/121.63 (P1(f5(f2(x991,x992),x993),f5(f2(x992,x991),x993))),
% 121.30/121.63 inference(scs_inference,[],[77,71,72,3,21])).
% 121.30/121.63 cnf(101,plain,
% 121.30/121.63 (~E(f1(a3,f2(a6,a3)),a3)),
% 121.30/121.63 inference(scs_inference,[],[77,89,71,72,3,21,2])).
% 121.30/121.63 cnf(102,plain,
% 121.30/121.63 (~P1(f1(a3,f2(a6,a3)),a3)+~P1(a3,f1(a3,f2(a6,a3)))),
% 121.30/121.63 inference(scs_inference,[],[101,22])).
% 121.30/121.63 cnf(106,plain,
% 121.30/121.63 (P1(f2(f2(x1061,x1062),x1063),f2(x1063,f2(x1062,x1061)))),
% 121.30/121.63 inference(scs_inference,[],[37,73,13])).
% 121.30/121.63 cnf(113,plain,
% 121.30/121.63 (~P2(f4(f1(a3,f2(a6,a3)),a3),a3)+~P1(a3,f1(a3,f2(a6,a3)))),
% 121.30/121.63 inference(scs_inference,[],[29,102])).
% 121.30/121.63 cnf(116,plain,
% 121.30/121.63 (~E(f1(f2(a6,a3),a3),a3)),
% 121.30/121.63 inference(scs_inference,[],[40,97,21,2])).
% 121.30/121.63 cnf(117,plain,
% 121.30/121.63 (P1(f5(f2(x1171,x1172),f2(x1173,x1174)),f5(f2(x1172,x1171),f2(x1174,x1173)))),
% 121.30/121.63 inference(scs_inference,[],[99,75,12])).
% 121.30/121.63 cnf(120,plain,
% 121.30/121.63 (~P2(x1201,f2(x1202,f1(x1203,x1204)))+P2(x1201,f2(f1(x1204,x1203),x1202))),
% 121.30/121.63 inference(scs_inference,[],[78,24])).
% 121.30/121.63 cnf(127,plain,
% 121.30/121.63 (P1(f1(f2(x1271,x1272),f1(x1273,x1274)),f1(f1(x1274,x1273),f2(x1272,x1271)))),
% 121.30/121.63 inference(scs_inference,[],[86,46,13])).
% 121.30/121.63 cnf(130,plain,
% 121.30/121.63 (P1(f5(x1301,f1(x1302,x1303)),f5(x1301,f1(x1303,x1302)))),
% 121.30/121.64 inference(scs_inference,[],[43,21])).
% 121.30/121.64 cnf(132,plain,
% 121.30/121.64 (P1(f5(f2(x1321,x1322),f1(x1323,x1324)),f5(f2(x1322,x1321),f1(x1324,x1323)))),
% 121.30/121.64 inference(scs_inference,[],[43,99,21,13])).
% 121.30/121.64 cnf(135,plain,
% 121.30/121.64 (~P1(f1(f2(a6,a3),a3),a3)+~P1(a3,f1(f2(a6,a3),a3))),
% 121.30/121.64 inference(scs_inference,[],[43,116,99,21,13,22])).
% 121.30/121.64 cnf(140,plain,
% 121.30/121.64 (P1(f2(f2(x1401,x1402),f1(x1403,x1404)),f2(f1(x1404,x1403),f2(x1402,x1401)))),
% 121.30/121.64 inference(scs_inference,[],[41,106,12])).
% 121.30/121.64 cnf(155,plain,
% 121.30/121.64 (P1(f2(f1(x1551,x1552),x1553),f2(f1(x1552,x1551),x1553))),
% 121.30/121.64 inference(scs_inference,[],[42,117,81,140,71,22,13,21])).
% 121.30/121.64 cnf(157,plain,
% 121.30/121.64 (~P1(a3,f1(f2(a3,a6),a3))+~P1(f1(f2(a3,a6),a3),a3)),
% 121.30/121.64 inference(scs_inference,[],[77,22])).
% 121.30/121.64 cnf(162,plain,
% 121.30/121.64 (~P1(f1(f2(a6,a3),a3),a3)+~P1(a3,f1(f2(a3,a6),a3))),
% 121.30/121.64 inference(scs_inference,[],[44,130,77,72,22,13,12])).
% 121.30/121.64 cnf(169,plain,
% 121.30/121.64 (P1(f1(f1(x1691,x1692),x1693),f1(x1693,f1(x1692,x1691)))),
% 121.30/121.64 inference(scs_inference,[],[46,34,12])).
% 121.30/121.64 cnf(198,plain,
% 121.30/121.64 (P1(f1(f1(x1981,x1982),x1983),f1(f1(x1982,x1981),x1983))),
% 121.30/121.64 inference(scs_inference,[],[46,21])).
% 121.30/121.64 cnf(205,plain,
% 121.30/121.64 (P2(x2051,f1(f1(x2052,x2053),x2054))+~P2(x2051,x2052)),
% 121.30/121.64 inference(scs_inference,[],[88,92])).
% 121.30/121.64 cnf(206,plain,
% 121.30/121.64 (P1(f1(f1(x2061,x2062),f1(x2063,x2064)),f1(f1(x2062,x2061),f1(x2064,x2063)))),
% 121.30/121.64 inference(scs_inference,[],[198,45,12])).
% 121.30/121.64 cnf(217,plain,
% 121.30/121.64 (P1(f1(x2171,f2(x2172,x2173)),f1(x2171,f2(x2173,x2172)))),
% 121.30/121.64 inference(scs_inference,[],[76,21])).
% 121.30/121.64 cnf(222,plain,
% 121.30/121.64 (~P2(x2221,f2(x2222,f1(x2223,x2224)))+P2(x2221,f2(x2222,f1(x2224,x2223)))),
% 121.30/121.64 inference(scs_inference,[],[67,24])).
% 121.30/121.64 cnf(238,plain,
% 121.30/121.64 (~P1(a3,f1(f2(a6,a3),a3))+P2(f4(f1(f2(a6,a3),a3),a3),f1(f2(a6,a3),a3))),
% 121.30/121.64 inference(scs_inference,[],[135,23])).
% 121.30/121.64 cnf(243,plain,
% 121.30/121.64 (P1(f1(f2(x2431,x2432),x2433),f1(f2(x2432,x2431),x2433))),
% 121.30/121.64 inference(scs_inference,[],[72,21])).
% 121.30/121.64 cnf(245,plain,
% 121.30/121.64 (P1(f1(f1(x2451,x2452),f2(x2453,x2454)),f1(f1(x2452,x2451),f2(x2454,x2453)))),
% 121.30/121.64 inference(scs_inference,[],[72,217,46,21,13])).
% 121.30/121.64 cnf(247,plain,
% 121.30/121.64 (P1(f1(x2471,f2(x2472,x2473)),f1(x2471,f2(x2473,x2472)))),
% 121.30/121.64 inference(rename_variables,[],[217])).
% 121.30/121.64 cnf(248,plain,
% 121.30/121.64 (P1(f1(f2(x2481,x2482),f2(x2483,x2484)),f1(f2(x2482,x2481),f2(x2484,x2483)))),
% 121.30/121.64 inference(scs_inference,[],[72,217,247,46,21,13,12])).
% 121.30/121.64 cnf(269,plain,
% 121.30/121.64 (P1(f2(f1(x2691,x2692),f2(x2693,x2694)),f2(f2(x2694,x2693),f1(x2692,x2691)))),
% 121.30/121.64 inference(scs_inference,[],[74,81,13])).
% 121.30/121.64 cnf(272,plain,
% 121.30/121.64 (E(f2(f1(x2721,x2722),f2(x2723,x2724)),f2(f2(x2724,x2723),f1(x2722,x2721)))),
% 121.30/121.64 inference(scs_inference,[],[269,140,22])).
% 121.30/121.64 cnf(275,plain,
% 121.30/121.64 (E(f2(f2(x2751,x2752),f1(x2753,x2754)),f2(f1(x2754,x2753),f2(x2752,x2751)))),
% 121.30/121.64 inference(scs_inference,[],[269,140,22,2])).
% 121.30/121.64 cnf(276,plain,
% 121.30/121.64 (E(f2(f1(x2761,x2762),f2(x2763,x2764)),f2(f2(x2763,x2764),f1(x2762,x2761)))),
% 121.30/121.64 inference(scs_inference,[],[74,272,3])).
% 121.30/121.64 cnf(279,plain,
% 121.30/121.64 (P1(f1(x2791,f1(x2792,x2793)),f1(x2791,f1(x2793,x2792)))),
% 121.30/121.64 inference(scs_inference,[],[74,272,45,3,21])).
% 121.30/121.64 cnf(289,plain,
% 121.30/121.64 (P1(f1(f2(x2891,x2892),f2(x2893,x2894)),f1(f2(x2894,x2893),f2(x2892,x2891)))),
% 121.30/121.64 inference(scs_inference,[],[76,86,12])).
% 121.30/121.64 cnf(292,plain,
% 121.30/121.64 (P1(f1(f1(x2921,x2922),f2(x2923,x2924)),f1(f2(x2924,x2923),f1(x2922,x2921)))),
% 121.30/121.64 inference(scs_inference,[],[76,245,86,17,12,13])).
% 121.30/121.64 cnf(303,plain,
% 121.30/121.64 (E(f1(f2(x3031,x3032),f1(x3033,x3034)),f1(f1(x3034,x3033),f2(x3032,x3031)))),
% 121.30/121.64 inference(scs_inference,[],[292,127,22])).
% 121.38/121.64 cnf(306,plain,
% 121.38/121.64 (P1(f1(f1(x3061,x3062),f2(x3063,x3064)),f1(f2(x3064,x3063),f1(x3061,x3062)))),
% 121.38/121.64 inference(scs_inference,[],[279,303,12])).
% 121.38/121.64 cnf(314,plain,
% 121.38/121.64 (P1(f1(f2(x3141,x3142),f1(x3143,x3144)),f1(f1(x3144,x3143),f2(x3141,x3142)))),
% 121.38/121.64 inference(scs_inference,[],[86,306,276,243,303,2,22,13])).
% 121.38/121.64 cnf(325,plain,
% 121.38/121.64 (E(f1(f1(x3251,x3252),f2(x3253,x3254)),f1(f2(x3254,x3253),f1(x3252,x3251)))),
% 121.38/121.64 inference(scs_inference,[],[303,2])).
% 121.38/121.64 cnf(348,plain,
% 121.38/121.64 (E(f1(f1(x3481,x3482),f2(x3483,x3484)),f1(f2(x3483,x3484),f1(x3482,x3481)))),
% 121.38/121.64 inference(scs_inference,[],[169,314,22])).
% 121.38/121.64 cnf(350,plain,
% 121.38/121.64 (P1(f1(f1(x3501,x3502),x3503),f1(x3503,f1(x3502,x3501)))),
% 121.38/121.64 inference(rename_variables,[],[169])).
% 121.38/121.64 cnf(352,plain,
% 121.38/121.64 (E(f1(f2(x3521,x3522),f1(x3523,x3524)),f1(f1(x3524,x3523),f2(x3521,x3522)))),
% 121.38/121.64 inference(scs_inference,[],[169,314,22,2])).
% 121.38/121.64 cnf(353,plain,
% 121.38/121.64 (P1(f1(f1(x3531,x3532),f1(x3533,x3534)),f1(f1(x3534,x3533),f1(x3532,x3531)))),
% 121.38/121.64 inference(scs_inference,[],[169,350,314,46,22,2,13])).
% 121.38/121.64 cnf(374,plain,
% 121.38/121.64 (P1(f1(x3741,f2(x3742,x3743)),f1(f2(x3743,x3742),x3741))),
% 121.38/121.64 inference(scs_inference,[],[217,17,13])).
% 121.38/121.64 cnf(387,plain,
% 121.38/121.64 (~P2(x3871,f1(f2(x3872,x3873),x3874))+P2(x3871,f1(f2(x3873,x3872),x3874))),
% 121.38/121.64 inference(scs_inference,[],[243,24])).
% 121.38/121.64 cnf(403,plain,
% 121.38/121.64 (P1(f1(x4031,f1(x4032,x4033)),f1(f1(x4033,x4032),x4031))),
% 121.38/121.64 inference(scs_inference,[],[279,17,13])).
% 121.38/121.64 cnf(406,plain,
% 121.38/121.64 (~P2(x4061,f1(x4062,f1(x4063,x4064)))+P2(x4061,f1(x4062,f1(x4064,x4063)))),
% 121.38/121.64 inference(scs_inference,[],[279,24])).
% 121.38/121.64 cnf(414,plain,
% 121.38/121.64 (~P2(x4141,f1(x4142,f1(x4143,x4144)))+P2(x4141,f1(f1(x4144,x4143),x4142))),
% 121.38/121.64 inference(scs_inference,[],[403,24])).
% 121.38/121.64 cnf(419,plain,
% 121.38/121.64 (~P2(x4191,f1(x4192,f1(x4193,x4194)))+P2(x4191,f1(f1(f1(x4194,x4193),x4192),x4195))),
% 121.38/121.64 inference(scs_inference,[],[414,26])).
% 121.38/121.64 cnf(424,plain,
% 121.38/121.64 (~P2(x4241,f1(f1(x4242,x4243),f1(x4244,x4245)))+P2(x4241,f1(f1(x4245,x4244),f1(x4243,x4242)))),
% 121.38/121.64 inference(scs_inference,[],[353,24])).
% 121.38/121.64 cnf(433,plain,
% 121.38/121.64 (E(f2(f2(x4331,x4332),f1(x4333,x4334)),f2(f2(x4332,x4331),f1(x4334,x4333)))),
% 121.38/121.64 inference(scs_inference,[],[18,275,3])).
% 121.38/121.64 cnf(436,plain,
% 121.38/121.64 (E(f2(f1(x4361,x4362),f2(x4363,x4364)),f2(f1(x4362,x4361),f2(x4364,x4363)))),
% 121.38/121.64 inference(scs_inference,[],[18,275,3])).
% 121.38/121.64 cnf(438,plain,
% 121.38/121.64 (~P2(x4381,f1(x4382,f2(x4383,x4384)))+P2(x4381,f1(f2(x4384,x4383),x4382))),
% 121.38/121.64 inference(scs_inference,[],[18,374,275,3,24])).
% 121.38/121.64 cnf(446,plain,
% 121.38/121.64 (E(f2(f1(x4461,x4462),f2(x4463,x4464)),f2(f2(x4464,x4463),f1(x4461,x4462)))),
% 121.38/121.64 inference(scs_inference,[],[433,276,3])).
% 121.38/121.64 cnf(481,plain,
% 121.38/121.64 (~P2(x4811,f1(f2(x4812,x4813),x4814))+P2(x4811,f1(x4814,f2(x4813,x4812)))),
% 121.38/121.64 inference(scs_inference,[],[86,24])).
% 121.38/121.64 cnf(495,plain,
% 121.38/121.64 (P2(f5(a3,f1(f2(a3,a6),a3)),f1(f2(a3,a6),a3))+P2(f5(a3,f1(f2(a3,a6),a3)),a3)),
% 121.38/121.64 inference(scs_inference,[],[47,30,2])).
% 121.38/121.64 cnf(496,plain,
% 121.38/121.64 (~P2(x4961,f1(f2(x4962,x4963),f1(x4964,x4965)))+P2(x4961,f1(f1(x4965,x4964),f2(x4963,x4962)))),
% 121.38/121.64 inference(scs_inference,[],[127,24])).
% 121.38/121.64 cnf(501,plain,
% 121.38/121.64 (~P2(x5011,f1(f2(x5012,x5013),f1(x5014,x5015)))+P2(x5011,f1(x5016,f1(f1(x5015,x5014),f2(x5013,x5012))))),
% 121.38/121.64 inference(scs_inference,[],[496,25])).
% 121.38/121.64 cnf(513,plain,
% 121.38/121.64 (~P2(x5131,f1(f1(x5132,x5133),f1(x5134,x5135)))+P2(x5131,f1(f1(x5133,x5132),f1(x5135,x5134)))),
% 121.38/121.64 inference(scs_inference,[],[206,24])).
% 121.38/121.64 cnf(557,plain,
% 121.38/121.64 (~P2(x5571,f1(f2(x5572,x5573),f2(x5574,x5575)))+P2(x5571,f1(f2(x5573,x5572),f2(x5575,x5574)))),
% 121.38/121.64 inference(scs_inference,[],[248,24])).
% 121.38/121.64 cnf(562,plain,
% 121.38/121.64 (~P2(x5621,f1(f2(x5622,x5623),f2(x5624,x5625)))+P2(x5621,f1(x5626,f1(f2(x5623,x5622),f2(x5625,x5624))))),
% 121.38/121.64 inference(scs_inference,[],[557,25])).
% 121.38/121.64 cnf(625,plain,
% 121.38/121.64 (~P2(x6251,f2(f1(x6252,x6253),x6254))+P2(x6251,f2(f1(x6253,x6252),x6254))),
% 121.38/121.64 inference(scs_inference,[],[155,24])).
% 121.38/121.64 cnf(630,plain,
% 121.38/121.64 (~P2(x6301,f2(f1(x6302,x6303),x6304))+P2(x6301,f1(f2(f1(x6303,x6302),x6304),x6305))),
% 121.38/121.64 inference(scs_inference,[],[625,26])).
% 121.38/121.64 cnf(652,plain,
% 121.38/121.64 (~P2(x6521,f1(x6522,f2(x6523,x6524)))+P2(x6521,f1(x6522,f2(x6524,x6523)))),
% 121.38/121.64 inference(scs_inference,[],[217,24])).
% 121.38/121.64 cnf(660,plain,
% 121.38/121.64 (~P2(x6601,f1(f2(x6602,x6603),f2(x6604,x6605)))+P2(x6601,f1(f2(x6605,x6604),f2(x6603,x6602)))),
% 121.38/121.64 inference(scs_inference,[],[289,24])).
% 121.38/121.64 cnf(665,plain,
% 121.38/121.64 (~P2(x6651,f1(f2(x6652,x6653),f2(x6654,x6655)))+P2(x6651,f1(x6656,f1(f2(x6655,x6654),f2(x6653,x6652))))),
% 121.38/121.64 inference(scs_inference,[],[660,25])).
% 121.38/121.64 cnf(689,plain,
% 121.38/121.64 (~P2(x6891,f1(f1(x6892,x6893),x6894))+P2(x6891,f1(f1(x6893,x6892),x6894))),
% 121.38/121.64 inference(scs_inference,[],[198,24])).
% 121.38/121.64 cnf(691,plain,
% 121.38/121.64 (~P2(x6911,f1(f1(x6912,x6913),x6914))+P2(x6911,f1(x6914,f1(x6913,x6912)))),
% 121.38/121.64 inference(scs_inference,[],[198,17,24,15])).
% 121.38/121.64 cnf(695,plain,
% 121.38/121.64 (P2(x6951,f2(f1(x6952,f1(x6953,x6954)),f1(x6952,f1(x6953,x6954))))+~P2(x6951,f1(f1(x6954,x6953),x6952))),
% 121.38/121.64 inference(scs_inference,[],[691,51])).
% 121.38/121.64 cnf(714,plain,
% 121.38/121.64 (~P2(f4(f1(x7141,x7142),x7143),x7144)+P2(f4(f1(x7142,x7141),x7143),x7144)),
% 121.38/121.64 inference(scs_inference,[],[40,14])).
% 121.38/121.64 cnf(716,plain,
% 121.38/121.64 (~P2(f4(f1(x7161,x7162),x7163),x7164)+P2(f4(f1(x7162,x7161),x7163),f1(x7165,x7164))),
% 121.38/121.64 inference(scs_inference,[],[714,25])).
% 121.38/121.64 cnf(717,plain,
% 121.38/121.64 (~P2(f4(f1(x7171,x7172),x7173),x7174)+P2(f4(f1(x7172,x7171),x7173),f1(f1(x7175,x7174),x7176))),
% 121.38/121.64 inference(scs_inference,[],[716,26])).
% 121.38/121.64 cnf(718,plain,
% 121.38/121.64 (P2(f4(f1(x7181,x7182),x7183),f1(x7184,f1(x7185,x7186)))+~P2(f4(f1(x7182,x7181),x7183),x7186)),
% 121.38/121.64 inference(scs_inference,[],[717,92])).
% 121.38/121.64 cnf(721,plain,
% 121.38/121.64 (~P2(f5(f1(x7211,x7212),x7213),x7214)+P2(f5(f1(x7212,x7211),x7213),x7214)),
% 121.38/121.64 inference(scs_inference,[],[44,14])).
% 121.38/121.64 cnf(783,plain,
% 121.38/121.64 (~P2(f5(x7831,f1(x7832,x7833)),x7834)+P2(f5(x7831,f1(x7833,x7832)),x7834)),
% 121.38/121.64 inference(scs_inference,[],[43,14])).
% 121.38/121.64 cnf(957,plain,
% 121.38/121.64 (E(f5(f2(f2(x9571,x9572),f1(x9573,x9574)),x9575),f5(f2(f1(x9573,x9574),f2(x9572,x9571)),x9575))),
% 121.38/121.64 inference(scs_inference,[],[446,2,6])).
% 121.38/121.64 cnf(963,plain,
% 121.38/121.64 (E(f1(f2(f1(x9631,x9632),f2(x9633,x9634)),x9635),f1(f2(f2(x9634,x9633),f1(x9632,x9631)),x9635))),
% 121.38/121.64 inference(scs_inference,[],[275,2,4])).
% 121.38/121.64 cnf(969,plain,
% 121.38/121.64 (E(f4(f1(x9691,f2(x9692,x9693)),x9694),f4(f1(x9691,f2(x9693,x9692)),x9694))),
% 121.38/121.64 inference(scs_inference,[],[76,2,10])).
% 121.38/121.64 cnf(995,plain,
% 121.38/121.64 (E(f1(f2(f2(x9951,x9952),f1(x9953,x9954)),x9955),f1(f2(f1(x9953,x9954),f2(x9952,x9951)),x9955))),
% 121.38/121.64 inference(scs_inference,[],[446,2,4])).
% 121.38/121.64 cnf(1111,plain,
% 121.38/121.64 (E(f1(f1(f2(x11111,x11112),x11113),x11114),f1(f1(f2(x11112,x11111),x11113),x11114))),
% 121.38/121.64 inference(scs_inference,[],[72,2,4])).
% 121.38/121.64 cnf(1119,plain,
% 121.38/121.64 (P2(f5(f1(f2(a6,a3),a3),a3),a3)+P2(f5(f1(f2(a6,a3),a3),a3),f1(f2(a6,a3),a3))),
% 121.38/121.64 inference(scs_inference,[],[97,2,30])).
% 121.38/121.64 cnf(1123,plain,
% 121.38/121.64 (P1(x11231,x11232)+~P2(f5(x11231,x11232),x11232)+~P2(f5(x11231,x11232),x11231)),
% 121.38/121.64 inference(scs_inference,[],[21,33])).
% 121.38/121.64 cnf(1126,plain,
% 121.38/121.64 (P1(x11261,x11262)+P2(f4(x11261,x11262),f1(x11263,x11261))),
% 121.38/121.64 inference(scs_inference,[],[23,25])).
% 121.38/121.64 cnf(1127,plain,
% 121.38/121.64 (P1(x11271,x11272)+P2(f4(x11271,x11272),f1(f1(x11273,x11271),x11274))),
% 121.38/121.64 inference(scs_inference,[],[1126,26])).
% 121.38/121.64 cnf(1131,plain,
% 121.38/121.64 (P1(x11311,x11312)+P2(f4(x11311,x11312),f1(x11311,x11313))),
% 121.38/121.64 inference(scs_inference,[],[23,26])).
% 121.38/121.64 cnf(1132,plain,
% 121.38/121.64 (P1(x11321,x11322)+P2(f4(x11321,x11322),f1(x11323,f1(x11321,x11324)))),
% 121.38/121.64 inference(scs_inference,[],[1131,25])).
% 121.38/121.64 cnf(1133,plain,
% 121.38/121.64 (P2(f4(x11331,x11332),f1(f1(x11331,x11333),x11334))+P1(x11331,x11332)),
% 121.38/121.64 inference(scs_inference,[],[1132,92])).
% 121.38/121.64 cnf(1143,plain,
% 121.38/121.64 (P1(f1(x11431,x11432),x11433)+P2(f4(f1(x11432,x11431),x11433),f1(x11432,x11431))),
% 121.38/121.64 inference(scs_inference,[],[17,23,12])).
% 121.38/121.64 cnf(1145,plain,
% 121.38/121.64 (P2(f4(x11451,x11452),f2(x11451,x11451))+P1(x11451,x11452)),
% 121.38/121.64 inference(scs_inference,[],[23,51])).
% 121.38/121.64 cnf(1152,plain,
% 121.38/121.64 (~P2(x11521,x11522)+P2(x11521,x11523)+P2(f4(x11522,x11523),x11522)),
% 121.38/121.64 inference(scs_inference,[],[23,24])).
% 121.38/121.64 cnf(1153,plain,
% 121.38/121.64 (~P2(x11531,f1(x11532,x11533))+P2(f4(f1(x11532,x11533),x11534),f1(x11533,x11532))+P2(x11531,x11534)),
% 121.38/121.64 inference(scs_inference,[],[17,1152,15])).
% 121.38/121.64 cnf(1155,plain,
% 121.38/121.64 (P2(f4(f1(x11551,x11552),x11553),f1(x11552,x11551))+P1(f1(x11551,x11552),x11553)),
% 121.38/121.64 inference(scs_inference,[],[23,92])).
% 121.38/121.64 cnf(1156,plain,
% 121.38/121.64 (P1(f1(x11561,x11562),x11563)+P2(f4(f1(x11561,x11562),x11563),f2(f1(x11562,x11561),f1(x11562,x11561)))),
% 121.38/121.64 inference(scs_inference,[],[1155,31])).
% 121.38/121.64 cnf(1157,plain,
% 121.38/121.64 (~P1(a3,f1(a3,f2(a3,a6)))+P2(f4(f1(a3,f2(a3,a6)),a3),f1(a3,f2(a3,a6)))),
% 121.38/121.64 inference(scs_inference,[],[36,23,22])).
% 121.38/121.64 cnf(1158,plain,
% 121.38/121.64 (P2(f4(f1(x11581,x11582),x11583),f1(x11582,x11581))+P1(f1(x11582,x11581),x11583)),
% 121.38/121.64 inference(scs_inference,[],[23,714])).
% 121.38/121.64 cnf(1159,plain,
% 121.38/121.64 (P2(f4(f1(f2(a3,a6),a3),a3),f1(a3,f2(a3,a6)))+~P1(a3,f1(a3,f2(a3,a6)))),
% 121.38/121.64 inference(scs_inference,[],[19,1158,22])).
% 121.38/121.64 cnf(1187,plain,
% 121.38/121.64 (P1(x11871,x11872)+~P2(f4(x11871,x11872),x11873)+P2(f4(x11871,x11872),f2(x11871,x11873))),
% 121.38/121.64 inference(scs_inference,[],[23,31])).
% 121.38/121.64 cnf(1188,plain,
% 121.38/121.64 (~P2(f4(x11881,x11882),x11883)+P1(x11881,x11882)+P2(f4(x11881,x11882),f2(x11883,x11881))),
% 121.38/121.64 inference(scs_inference,[],[18,1187,15])).
% 121.38/121.64 cnf(1190,plain,
% 121.38/121.64 (P1(f1(x11901,x11902),x11903)+P2(f4(f1(x11901,x11902),x11903),x11902)+P2(f4(f1(x11901,x11902),x11903),x11901)),
% 121.38/121.64 inference(scs_inference,[],[23,32])).
% 121.38/121.64 cnf(1195,plain,
% 121.38/121.64 (P2(f4(f1(x11951,x11952),x11953),x11954)+P2(f4(f1(x11951,x11952),x11954),f1(x11952,x11951))+P1(f1(x11951,x11952),x11953)),
% 121.38/121.64 inference(scs_inference,[],[23,1153])).
% 121.38/121.64 cnf(1197,plain,
% 121.38/121.64 (~P2(x11971,x11972)+P2(x11971,f1(f1(x11973,x11972),x11974))),
% 121.38/121.64 inference(scs_inference,[],[25,26])).
% 121.38/121.64 cnf(1198,plain,
% 121.38/121.64 (P2(x11981,f1(x11982,f1(x11983,x11984)))+~P2(x11981,x11984)),
% 121.38/121.64 inference(scs_inference,[],[1197,92])).
% 121.38/121.64 cnf(1199,plain,
% 121.38/121.64 (P2(x11991,f1(x11992,f1(x11993,x11994)))+~P2(x11991,f2(x11995,x11994))),
% 121.38/121.64 inference(scs_inference,[],[1198,27])).
% 121.38/121.64 cnf(1200,plain,
% 121.38/121.64 (P2(x12001,f1(x12002,f1(x12003,x12004)))+~P2(x12001,f2(x12005,x12003))),
% 121.38/121.64 inference(scs_inference,[],[1199,406])).
% 121.38/121.64 cnf(1201,plain,
% 121.38/121.64 (P2(x12011,f1(f1(x12012,x12013),x12014))+~P2(x12011,f2(x12015,x12013))),
% 121.38/121.64 inference(scs_inference,[],[1200,414])).
% 121.38/121.64 cnf(1204,plain,
% 121.38/121.64 (P2(x12041,f1(x12042,x12043))+~P2(x12041,f2(x12044,x12043))),
% 121.38/121.64 inference(scs_inference,[],[25,27])).
% 121.38/121.64 cnf(1205,plain,
% 121.38/121.64 (P1(x12051,f1(x12052,x12053))+~P2(f4(x12051,f1(x12052,x12053)),f2(x12054,x12053))),
% 121.38/121.64 inference(scs_inference,[],[1204,29])).
% 121.38/121.64 cnf(1206,plain,
% 121.38/121.64 (P1(f2(x12061,x12062),f1(x12063,x12062))),
% 121.38/121.64 inference(scs_inference,[],[1205,23])).
% 121.38/121.64 cnf(1207,plain,
% 121.38/121.64 (P1(f2(x12071,x12072),f1(x12072,x12073))),
% 121.38/121.64 inference(scs_inference,[],[17,1206,13])).
% 121.38/121.64 cnf(1208,plain,
% 121.38/121.64 (P1(f2(x12081,x12082),f1(x12083,x12082))),
% 121.38/121.64 inference(rename_variables,[],[1206])).
% 121.38/121.64 cnf(1209,plain,
% 121.38/121.64 (P1(f2(x12091,x12092),f1(x12093,x12091))),
% 121.38/121.64 inference(scs_inference,[],[17,18,1206,1208,13,12])).
% 121.38/121.64 cnf(1236,plain,
% 121.38/121.64 (P1(f2(x12361,x12362),f1(x12361,x12363))),
% 121.38/121.64 inference(scs_inference,[],[18,1207,12])).
% 121.40/121.64 cnf(1315,plain,
% 121.40/121.64 (~P2(f4(x13151,f1(x13152,x13153)),x13153)+P1(x13151,f1(x13152,x13153))),
% 121.40/121.64 inference(scs_inference,[],[25,29])).
% 121.40/121.64 cnf(1316,plain,
% 121.40/121.64 (P1(x13161,f1(x13162,x13161))),
% 121.40/121.64 inference(scs_inference,[],[1315,23])).
% 121.40/121.64 cnf(1317,plain,
% 121.40/121.64 (~P1(f1(f2(a6,a3),a3),a3)),
% 121.40/121.64 inference(scs_inference,[],[1316,135])).
% 121.40/121.64 cnf(1318,plain,
% 121.40/121.64 (~P1(f1(f2(a3,a6),a3),a3)),
% 121.40/121.64 inference(scs_inference,[],[1316,157])).
% 121.40/121.64 cnf(1319,plain,
% 121.40/121.64 (~P1(f1(f2(a6,a3),a3),a3)),
% 121.40/121.64 inference(scs_inference,[],[1316,162])).
% 121.40/121.64 cnf(1321,plain,
% 121.40/121.64 (P2(f4(f1(f2(a6,a3),a3),a3),f1(f2(a6,a3),a3))),
% 121.40/121.64 inference(scs_inference,[],[1316,238])).
% 121.40/121.64 cnf(1333,plain,
% 121.40/121.64 (~P1(f1(a3,f2(a3,a6)),a3)),
% 121.40/121.64 inference(scs_inference,[],[1318,17,12])).
% 121.40/121.64 cnf(1343,plain,
% 121.40/121.64 (~P1(f1(a3,f2(a6,a3)),a3)),
% 121.40/121.64 inference(scs_inference,[],[1317,17,12])).
% 121.40/121.64 cnf(1372,plain,
% 121.40/121.64 (~P2(x13721,f2(x13722,x13723))+P2(x13721,f1(x13722,x13724))),
% 121.40/121.64 inference(scs_inference,[],[1236,24])).
% 121.40/121.64 cnf(1384,plain,
% 121.40/121.64 (P1(x13841,f1(x13841,x13842))),
% 121.40/121.64 inference(scs_inference,[],[17,1316,13])).
% 121.40/121.64 cnf(1386,plain,
% 121.40/121.64 (~P2(f4(f1(a3,f2(a6,a3)),a3),a3)),
% 121.40/121.64 inference(scs_inference,[],[1384,113])).
% 121.40/121.64 cnf(1387,plain,
% 121.40/121.64 (P2(f4(f1(a3,f2(a3,a6)),a3),f1(a3,f2(a3,a6)))),
% 121.40/121.64 inference(scs_inference,[],[1384,1157])).
% 121.40/121.64 cnf(1388,plain,
% 121.40/121.64 (P2(f4(f1(f2(a3,a6),a3),a3),f1(a3,f2(a3,a6)))),
% 121.40/121.64 inference(scs_inference,[],[1384,1159])).
% 121.40/121.64 cnf(1398,plain,
% 121.40/121.64 (P2(f4(f1(f2(a3,a6),a3),a3),f1(f1(f2(a3,a6),a3),x13981))),
% 121.40/121.64 inference(scs_inference,[],[1318,1372,1145])).
% 121.40/121.64 cnf(1435,plain,
% 121.40/121.64 (P2(f4(f1(f2(a3,a6),a3),a3),f1(x14351,f1(f2(a3,a6),a3)))),
% 121.40/121.64 inference(scs_inference,[],[1318,25,23])).
% 121.40/121.64 cnf(1445,plain,
% 121.40/121.64 (P2(x14451,f1(x14452,f1(x14453,x14454)))+~P2(x14451,f1(x14454,x14453))),
% 121.40/121.64 inference(scs_inference,[],[25,406])).
% 121.40/121.64 cnf(1447,plain,
% 121.40/121.64 (P2(f4(f1(a3,f2(a3,a6)),a3),f1(x14471,f1(a3,f2(a3,a6))))),
% 121.40/121.64 inference(scs_inference,[],[1318,25,1143])).
% 121.40/121.64 cnf(1451,plain,
% 121.40/121.64 (P2(x14511,f1(f2(x14512,x14513),x14514))+~P2(x14511,f2(x14513,x14512))),
% 121.40/121.64 inference(scs_inference,[],[25,438])).
% 121.40/121.64 cnf(1452,plain,
% 121.40/121.64 (P2(f4(f1(f2(a3,a6),a3),a3),f1(f2(f1(f2(a3,a6),a3),f1(f2(a3,a6),a3)),x14521))),
% 121.40/121.64 inference(scs_inference,[],[1318,1451,1145])).
% 121.40/121.64 cnf(1461,plain,
% 121.40/121.64 (P2(f5(f1(x14611,x14612),x14613),f1(x14614,x14615))+~P2(f5(f1(x14612,x14611),x14613),x14615)),
% 121.40/121.64 inference(scs_inference,[],[25,721])).
% 121.40/121.64 cnf(1471,plain,
% 121.40/121.64 (P2(f4(f1(f2(a6,a3),a3),a3),f1(x14711,f1(f2(a6,a3),a3)))),
% 121.40/121.64 inference(scs_inference,[],[1317,25,23])).
% 121.40/121.64 cnf(1508,plain,
% 121.40/121.64 (P2(f4(f1(a3,f2(a6,a3)),a3),f1(x15081,f1(a3,f2(a6,a3))))),
% 121.40/121.64 inference(scs_inference,[],[1343,25,23])).
% 121.40/121.64 cnf(1543,plain,
% 121.40/121.64 (~P2(f5(f1(f2(a3,a6),a3),a3),a3)),
% 121.40/121.64 inference(scs_inference,[],[1318,25,1123])).
% 121.40/121.64 cnf(1557,plain,
% 121.40/121.64 (P2(f4(f1(f2(a6,a3),a3),a3),f1(x15571,f2(f1(f2(a6,a3),a3),f1(f2(a6,a3),a3))))),
% 121.40/121.64 inference(scs_inference,[],[1319,25,1145])).
% 121.40/121.64 cnf(1584,plain,
% 121.40/121.64 (~P2(f5(f1(x15841,x15842),x15843),x15844)+P2(f5(f1(x15842,x15841),x15843),f1(x15845,f1(x15846,x15844)))),
% 121.40/121.64 inference(scs_inference,[],[25,1461])).
% 121.40/121.64 cnf(1587,plain,
% 121.40/121.64 (~P2(f5(f1(f2(a6,a3),a3),a3),a3)),
% 121.40/121.64 inference(scs_inference,[],[1317,25,1123])).
% 121.40/121.64 cnf(1610,plain,
% 121.40/121.64 (P2(f5(f1(f2(a3,a6),a3),a3),f1(f2(a3,a6),a3))+P2(f5(f1(f2(a3,a6),a3),a3),f1(x16101,a3))),
% 121.40/121.64 inference(scs_inference,[],[47,25,30])).
% 121.40/121.64 cnf(1611,plain,
% 121.40/121.64 (P2(f5(f1(f2(a3,a6),a3),a3),f1(f2(a3,a6),a3))),
% 121.40/121.64 inference(factoring_inference,[],[1610])).
% 121.40/121.64 cnf(1612,plain,
% 121.40/121.64 (~P2(f5(a3,f1(f2(a3,a6),a3)),a3)),
% 121.40/121.64 inference(scs_inference,[],[77,25,33])).
% 121.40/121.64 cnf(1613,plain,
% 121.40/121.64 (~P2(f4(f1(f2(a3,a6),a3),a3),x16131)+P2(f4(f1(f2(a3,a6),a3),a3),f1(x16132,f2(f1(f2(a3,a6),a3),x16131)))),
% 121.40/121.64 inference(scs_inference,[],[1318,25,1187])).
% 121.40/121.64 cnf(1615,plain,
% 121.40/121.64 (~P2(f4(f1(f2(a3,a6),a3),a3),x16151)+P2(f4(f1(f2(a3,a6),a3),a3),f1(x16152,f2(x16151,f1(f2(a3,a6),a3))))),
% 121.40/121.64 inference(scs_inference,[],[1318,25,1188])).
% 121.40/121.64 cnf(1616,plain,
% 121.40/121.64 (~P2(x16161,f2(x16162,x16163))+P2(x16161,f1(x16164,f1(x16165,x16162)))),
% 121.40/121.64 inference(scs_inference,[],[1209,25,24])).
% 121.40/121.64 cnf(1638,plain,
% 121.40/121.64 (P2(f5(a3,f1(f2(a3,a6),a3)),f1(f2(a3,a6),a3))),
% 121.40/121.64 inference(scs_inference,[],[1612,495])).
% 121.40/121.64 cnf(1639,plain,
% 121.40/121.64 (P2(f5(f1(f2(a6,a3),a3),a3),f1(f2(a6,a3),a3))),
% 121.40/121.64 inference(scs_inference,[],[1587,1119])).
% 121.40/121.64 cnf(1657,plain,
% 121.40/121.64 (P2(f4(f1(f2(a3,a6),a3),a3),f1(f1(f2(a3,a6),a3),x16571))),
% 121.40/121.64 inference(rename_variables,[],[1398])).
% 121.40/121.64 cnf(1660,plain,
% 121.40/121.64 (P2(f4(f1(f2(a3,a6),a3),a3),f1(x16601,f1(f2(a3,a6),a3)))),
% 121.40/121.64 inference(rename_variables,[],[1435])).
% 121.40/121.64 cnf(1665,plain,
% 121.40/121.64 (P2(f4(f1(f2(a3,a6),a3),a3),f1(x16651,f1(f2(a3,a6),a3)))),
% 121.40/121.64 inference(rename_variables,[],[1435])).
% 121.40/121.64 cnf(1668,plain,
% 121.40/121.64 (P2(f4(f1(f2(a3,a6),a3),a3),f1(x16681,f1(f2(a3,a6),a3)))),
% 121.40/121.64 inference(rename_variables,[],[1435])).
% 121.40/121.64 cnf(1770,plain,
% 121.40/121.64 ($false),
% 121.40/121.64 inference(scs_inference,[],[19,1318,1611,1638,1639,957,963,969,995,1111,1543,1317,348,325,352,436,1321,1387,1388,1386,1398,1657,1435,1660,1665,1668,1447,1471,1508,1587,1452,1557,1333,132,374,1343,51,88,120,205,222,387,406,419,424,481,496,501,513,562,630,652,665,689,691,695,716,717,718,721,783,1127,1132,1133,1156,1158,1198,1199,1201,1372,1445,1451,1584,1613,1615,1616,10,5,11,8,9,29,23,714,30,1195,1187,32,1190,31,3,24,1153,14,15,13,25,26,27,28]),
% 121.40/121.64 ['proof']).
% 121.40/121.65 % SZS output end Proof
% 121.40/121.65 % Total time :120.680000s
%------------------------------------------------------------------------------