TSTP Solution File: CAT005-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT005-3 : 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 : Wed Aug 30 18:13:40 EDT 2023
% Result : Unsatisfiable 1.08s 1.14s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT005-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n022.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 : Sun Aug 27 00:35:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.05/1.14 %-------------------------------------------
% 1.05/1.14 % File :CSE---1.6
% 1.05/1.14 % Problem :theBenchmark
% 1.05/1.14 % Transform :cnf
% 1.05/1.14 % Format :tptp:raw
% 1.05/1.14 % Command :java -jar mcs_scs.jar %d %s
% 1.05/1.14
% 1.05/1.14 % Result :Theorem 0.520000s
% 1.05/1.14 % Output :CNFRefutation 0.520000s
% 1.05/1.14 %-------------------------------------------
% 1.08/1.14 %--------------------------------------------------------------------------
% 1.08/1.14 % File : CAT005-3 : TPTP v8.1.2. Released v1.0.0.
% 1.08/1.14 % Domain : Category Theory
% 1.08/1.14 % Problem : Domain is the unique right identity
% 1.08/1.14 % Version : [Sco79] axioms : Reduced > Complete.
% 1.08/1.14 % English : domain(x) is the unique identity i such that xi is defined.
% 1.08/1.14
% 1.08/1.14 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 1.08/1.14 % Source : [ANL]
% 1.08/1.14 % Names : p5.ver3.in [ANL]
% 1.08/1.14
% 1.08/1.14 % Status : Unsatisfiable
% 1.08/1.14 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.25 v5.4.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.23 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.30 v2.5.0, 0.25 v2.4.0, 0.22 v2.3.0, 0.33 v2.2.0, 0.44 v2.1.0, 0.56 v2.0.0
% 1.08/1.14 % Syntax : Number of clauses : 21 ( 5 unt; 2 nHn; 16 RR)
% 1.08/1.14 % Number of literals : 43 ( 18 equ; 20 neg)
% 1.08/1.14 % Maximal clause size : 4 ( 2 avg)
% 1.08/1.14 % Maximal term depth : 3 ( 1 avg)
% 1.08/1.14 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 1.08/1.14 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 1.08/1.14 % Number of variables : 33 ( 4 sgn)
% 1.08/1.14 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.08/1.14
% 1.08/1.14 % Comments : Axioms simplified by Art Quaife.
% 1.08/1.14 %--------------------------------------------------------------------------
% 1.08/1.14 %----Include Scott's axioms for category theory
% 1.08/1.14 include('Axioms/CAT003-0.ax').
% 1.08/1.14 %--------------------------------------------------------------------------
% 1.08/1.14 %----Denial of the theorem: d is an identity not equal to dom(a),
% 1.08/1.14 cnf(ad_exists,hypothesis,
% 1.08/1.14 there_exists(compose(a,d)) ).
% 1.08/1.14
% 1.08/1.14 cnf(xd_equals_x,hypothesis,
% 1.08/1.14 ( ~ there_exists(compose(X,d))
% 1.08/1.14 | compose(X,d) = X ) ).
% 1.08/1.14
% 1.08/1.14 cnf(dy_equals_y,hypothesis,
% 1.08/1.14 ( ~ there_exists(compose(d,Y))
% 1.08/1.14 | compose(d,Y) = Y ) ).
% 1.08/1.14
% 1.08/1.14 cnf(prove_domain_of_a_is_d,negated_conjecture,
% 1.08/1.14 domain(a) != d ).
% 1.08/1.14
% 1.08/1.14 %--------------------------------------------------------------------------
% 1.08/1.14 %-------------------------------------------
% 1.08/1.14 % Proof found
% 1.08/1.14 % SZS status Theorem for theBenchmark
% 1.08/1.14 % SZS output start Proof
% 1.08/1.14 %ClaNum:32(EqnAxiom:12)
% 1.08/1.14 %VarNum:64(SingletonVarNum:29)
% 1.08/1.14 %MaxLitNum:3
% 1.08/1.14 %MaxfuncDepth:2
% 1.08/1.14 %SharedTerms:6
% 1.08/1.14 %goalClause: 17
% 1.08/1.14 %singleGoalClaCount:1
% 1.08/1.14 [15]P1(f2(a4,a5))
% 1.08/1.14 [17]~E(f1(a4),a5)
% 1.08/1.14 [13]E(f2(x131,f1(x131)),x131)
% 1.08/1.14 [14]E(f2(f3(x141),x141),x141)
% 1.08/1.14 [16]E(f2(f2(x161,x162),x163),f2(x161,f2(x162,x163)))
% 1.08/1.14 [18]P1(x181)+~P1(f1(x181))
% 1.08/1.14 [19]P1(x191)+~P1(f3(x191))
% 1.08/1.14 [28]E(f2(x281,a5),x281)+~P1(f2(x281,a5))
% 1.08/1.14 [29]E(f2(a5,x291),x291)+~P1(f2(a5,x291))
% 1.08/1.14 [20]~P2(x201,x202)+E(x201,x202)
% 1.08/1.14 [22]P1(x221)+~P2(x222,x221)
% 1.08/1.14 [23]P1(x231)+~P2(x231,x232)
% 1.08/1.14 [25]E(x251,x252)+P1(f6(x251,x252))
% 1.08/1.14 [27]E(f3(x271),f1(x272))+~P1(f2(x272,x271))
% 1.08/1.14 [30]P1(f1(x301))+~P1(f2(x301,x302))
% 1.08/1.14 [31]P1(f3(x311))+~P1(f2(x311,x312))
% 1.08/1.14 [21]~E(x211,x212)+~P1(x211)+P2(x211,x212)
% 1.08/1.14 [26]E(x261,x262)+E(f6(x261,x262),x262)+E(f6(x261,x262),x261)
% 1.08/1.14 [32]~E(f3(x322),f1(x321))+~P1(f1(x321))+P1(f2(x321,x322))
% 1.08/1.14 %EqnAxiom
% 1.08/1.14 [1]E(x11,x11)
% 1.08/1.14 [2]E(x22,x21)+~E(x21,x22)
% 1.08/1.14 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.08/1.14 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 1.08/1.14 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 1.08/1.14 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 1.08/1.14 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 1.08/1.14 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 1.08/1.14 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 1.08/1.14 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 1.08/1.14 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 1.08/1.14 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 1.08/1.15
% 1.08/1.15 %-------------------------------------------
% 1.08/1.15 cnf(33,plain,
% 1.08/1.15 (E(x331,f2(x331,f1(x331)))),
% 1.08/1.15 inference(scs_inference,[],[13,2])).
% 1.08/1.15 cnf(34,plain,
% 1.08/1.15 (~P2(f1(a4),a5)),
% 1.08/1.15 inference(scs_inference,[],[17,13,2,20])).
% 1.08/1.15 cnf(36,plain,
% 1.08/1.15 (E(f2(a4,a5),a4)),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,2,20,28])).
% 1.08/1.15 cnf(38,plain,
% 1.08/1.15 (E(f3(a5),f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,2,20,28,27])).
% 1.08/1.15 cnf(40,plain,
% 1.08/1.15 (P1(f2(f2(a4,a5),f1(f2(a4,a5))))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,2,20,28,27,10])).
% 1.08/1.15 cnf(41,plain,
% 1.08/1.15 (~E(f1(a4),f2(f3(a5),a5))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,2,20,28,27,10,3])).
% 1.08/1.15 cnf(42,plain,
% 1.08/1.15 (E(f2(f3(x421),x421),x421)),
% 1.08/1.15 inference(rename_variables,[],[14])).
% 1.08/1.15 cnf(43,plain,
% 1.08/1.15 (P2(f2(a4,a5),f2(f2(a4,a5),f1(f2(a4,a5))))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,2,20,28,27,10,3,21])).
% 1.08/1.15 cnf(45,plain,
% 1.08/1.15 (E(f6(x451,f2(f3(x452),x452)),f6(x451,x452))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9])).
% 1.08/1.15 cnf(46,plain,
% 1.08/1.15 (E(f6(f2(f3(x461),x461),x462),f6(x461,x462))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8])).
% 1.08/1.15 cnf(47,plain,
% 1.08/1.15 (E(f3(f2(f3(x471),x471)),f3(x471))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7])).
% 1.08/1.15 cnf(48,plain,
% 1.08/1.15 (E(f2(x481,f2(f3(x482),x482)),f2(x481,x482))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7,6])).
% 1.08/1.15 cnf(49,plain,
% 1.08/1.15 (E(f2(f2(f3(x491),x491),x492),f2(x491,x492))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7,6,5])).
% 1.08/1.15 cnf(50,plain,
% 1.08/1.15 (E(f1(f2(f3(x501),x501)),f1(x501))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7,6,5,4])).
% 1.08/1.15 cnf(51,plain,
% 1.08/1.15 (P1(f3(a4))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7,6,5,4,31])).
% 1.08/1.15 cnf(53,plain,
% 1.08/1.15 (P1(f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7,6,5,4,31,30])).
% 1.08/1.15 cnf(55,plain,
% 1.08/1.15 (P1(f6(f1(a4),a5))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7,6,5,4,31,30,25])).
% 1.08/1.15 cnf(57,plain,
% 1.08/1.15 (~P2(f1(a4),f2(f3(a5),a5))),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7,6,5,4,31,30,25,12])).
% 1.08/1.15 cnf(58,plain,
% 1.08/1.15 (~P2(f3(a5),a5)),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7,6,5,4,31,30,25,12,11])).
% 1.08/1.15 cnf(59,plain,
% 1.08/1.15 (P1(a4)),
% 1.08/1.15 inference(scs_inference,[],[17,15,13,14,42,2,20,28,27,10,3,21,9,8,7,6,5,4,31,30,25,12,11,19])).
% 1.08/1.15 cnf(64,plain,
% 1.08/1.15 (P2(f2(a4,a5),f2(a4,a5))),
% 1.08/1.15 inference(scs_inference,[],[13,43,12])).
% 1.08/1.15 cnf(65,plain,
% 1.08/1.15 (E(f2(x651,f1(x651)),x651)),
% 1.08/1.15 inference(rename_variables,[],[13])).
% 1.08/1.15 cnf(68,plain,
% 1.08/1.15 (~E(a5,f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[17,13,65,43,34,12,11,2])).
% 1.08/1.15 cnf(69,plain,
% 1.08/1.15 (P1(f2(f3(a4),f1(f3(a4))))),
% 1.08/1.15 inference(scs_inference,[],[17,13,65,33,43,34,51,12,11,2,10])).
% 1.08/1.15 cnf(70,plain,
% 1.08/1.15 (E(x701,f2(x701,f1(x701)))),
% 1.08/1.15 inference(rename_variables,[],[33])).
% 1.08/1.15 cnf(71,plain,
% 1.08/1.15 (~E(f2(f1(a4),f1(f1(a4))),a5)),
% 1.08/1.15 inference(scs_inference,[],[17,13,65,33,70,43,34,51,12,11,2,10,3])).
% 1.08/1.15 cnf(76,plain,
% 1.08/1.15 (E(f2(x761,f2(x762,x763)),f2(f2(x761,x762),x763))),
% 1.08/1.15 inference(scs_inference,[],[16,2])).
% 1.08/1.15 cnf(77,plain,
% 1.08/1.15 (E(f2(f2(f3(x771),x771),f1(x771)),x771)),
% 1.08/1.15 inference(scs_inference,[],[13,16,49,2,3])).
% 1.08/1.15 cnf(85,plain,
% 1.08/1.15 (~P2(x851,f3(a5))+~E(f3(a5),a5)),
% 1.08/1.15 inference(scs_inference,[],[13,16,49,58,2,3,21,10,23,22])).
% 1.08/1.15 cnf(96,plain,
% 1.08/1.15 (E(f2(x961,f1(x961)),x961)),
% 1.08/1.15 inference(rename_variables,[],[13])).
% 1.08/1.15 cnf(99,plain,
% 1.08/1.15 (E(f2(x991,f1(x991)),x991)),
% 1.08/1.15 inference(rename_variables,[],[13])).
% 1.08/1.15 cnf(100,plain,
% 1.08/1.15 (~E(f2(f3(a5),a5),f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[13,96,41,69,58,31,21,11,2])).
% 1.08/1.15 cnf(101,plain,
% 1.08/1.15 (~P2(f1(a4),f2(a5,f1(a5)))),
% 1.08/1.15 inference(scs_inference,[],[13,96,99,41,69,34,58,31,21,11,2,12])).
% 1.08/1.15 cnf(103,plain,
% 1.08/1.15 (~E(a5,f1(f2(f3(a4),a4)))),
% 1.08/1.15 inference(scs_inference,[],[13,96,99,50,41,69,68,34,58,31,21,11,2,12,3])).
% 1.08/1.15 cnf(105,plain,
% 1.08/1.15 (P1(f2(a4,f1(a4)))),
% 1.08/1.15 inference(scs_inference,[],[13,96,99,33,50,41,69,68,59,34,58,31,21,11,2,12,3,10])).
% 1.08/1.15 cnf(107,plain,
% 1.08/1.15 (P2(f2(a4,a5),a4)),
% 1.08/1.15 inference(scs_inference,[],[15,36,21])).
% 1.08/1.15 cnf(110,plain,
% 1.08/1.15 (E(f2(f3(x1101),x1101),x1101)),
% 1.08/1.15 inference(rename_variables,[],[14])).
% 1.08/1.15 cnf(111,plain,
% 1.08/1.15 (E(x1111,f2(f3(x1111),x1111))),
% 1.08/1.15 inference(scs_inference,[],[14,110,34,15,36,21,11,2])).
% 1.08/1.15 cnf(112,plain,
% 1.08/1.15 (P1(f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 1.08/1.15 inference(scs_inference,[],[14,110,34,15,36,21,11,2,10])).
% 1.08/1.15 cnf(113,plain,
% 1.08/1.15 (~P2(f1(a4),f2(f2(f3(a5),a5),f1(a5)))),
% 1.08/1.15 inference(scs_inference,[],[14,110,34,15,77,36,21,11,2,10,12])).
% 1.08/1.15 cnf(115,plain,
% 1.08/1.15 (~E(f2(a5,f1(a5)),f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,34,15,77,36,68,21,11,2,10,12,3])).
% 1.08/1.15 cnf(116,plain,
% 1.08/1.15 (E(x1161,f2(x1161,f1(x1161)))),
% 1.08/1.15 inference(rename_variables,[],[33])).
% 1.08/1.15 cnf(117,plain,
% 1.08/1.15 (P1(f1(f2(a4,a5)))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,34,15,77,36,40,68,21,11,2,10,12,3,30])).
% 1.08/1.15 cnf(119,plain,
% 1.08/1.15 (E(f3(f1(a4)),f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,34,15,77,105,36,40,68,21,11,2,10,12,3,30,27])).
% 1.08/1.15 cnf(121,plain,
% 1.08/1.15 (E(f6(x1211,x1212),f6(x1211,f2(x1212,f1(x1212))))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,116,34,15,77,105,36,40,68,21,11,2,10,12,3,30,27,9])).
% 1.08/1.15 cnf(122,plain,
% 1.08/1.15 (E(f3(x1221),f3(f2(x1221,f1(x1221))))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,116,34,15,77,105,36,40,68,21,11,2,10,12,3,30,27,9,7])).
% 1.08/1.15 cnf(123,plain,
% 1.08/1.15 (E(f2(x1231,x1232),f2(x1231,f2(x1232,f1(x1232))))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,116,34,15,77,105,36,40,68,21,11,2,10,12,3,30,27,9,7,6])).
% 1.08/1.15 cnf(124,plain,
% 1.08/1.15 (E(f1(x1241),f1(f2(x1241,f1(x1241))))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,116,34,15,77,105,36,40,68,21,11,2,10,12,3,30,27,9,7,6,4])).
% 1.08/1.15 cnf(125,plain,
% 1.08/1.15 (P1(f6(f2(f3(a5),a5),f1(a4)))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,116,34,15,77,100,105,36,40,68,21,11,2,10,12,3,30,27,9,7,6,4,25])).
% 1.08/1.15 cnf(127,plain,
% 1.08/1.15 (~P2(f2(f3(a5),a5),f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,116,34,15,77,100,105,36,40,68,21,11,2,10,12,3,30,27,9,7,6,4,25,20])).
% 1.08/1.15 cnf(129,plain,
% 1.08/1.15 (E(f6(x1291,x1292),f6(f2(x1291,f1(x1291)),x1292))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,116,34,15,77,100,105,36,40,68,21,11,2,10,12,3,30,27,9,7,6,4,25,20,8])).
% 1.08/1.15 cnf(130,plain,
% 1.08/1.15 (E(f2(x1301,x1302),f2(f2(x1301,f1(x1301)),x1302))),
% 1.08/1.15 inference(scs_inference,[],[14,110,33,116,34,15,77,100,105,36,40,68,21,11,2,10,12,3,30,27,9,7,6,4,25,20,8,5])).
% 1.08/1.15 cnf(131,plain,
% 1.08/1.15 (~E(f1(a4),f2(f2(f3(a5),a5),f1(a5)))),
% 1.08/1.15 inference(scs_inference,[],[113,53,21])).
% 1.08/1.15 cnf(133,plain,
% 1.08/1.15 (~E(a5,f2(f1(a4),f1(f1(a4))))),
% 1.08/1.15 inference(scs_inference,[],[71,113,53,21,2])).
% 1.08/1.15 cnf(134,plain,
% 1.08/1.15 (P2(f2(f2(a4,a5),f1(f2(a4,a5))),a4)),
% 1.08/1.15 inference(scs_inference,[],[33,71,113,107,53,21,2,11])).
% 1.08/1.15 cnf(135,plain,
% 1.08/1.15 (E(x1351,f2(x1351,f1(x1351)))),
% 1.08/1.15 inference(rename_variables,[],[33])).
% 1.08/1.15 cnf(136,plain,
% 1.08/1.15 (P2(f2(a4,a5),f2(a4,f1(a4)))),
% 1.08/1.15 inference(scs_inference,[],[33,135,71,113,107,53,21,2,11,12])).
% 1.08/1.15 cnf(138,plain,
% 1.08/1.15 (E(f2(f3(x1381),f2(f3(x1381),x1381)),x1381)),
% 1.08/1.15 inference(scs_inference,[],[14,33,135,48,71,113,107,53,21,2,11,12,3])).
% 1.08/1.15 cnf(148,plain,
% 1.08/1.15 (~P2(f2(a5,f1(a5)),f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[115,20])).
% 1.08/1.15 cnf(151,plain,
% 1.08/1.15 (E(x1511,f2(x1511,f1(x1511)))),
% 1.08/1.15 inference(rename_variables,[],[33])).
% 1.08/1.15 cnf(153,plain,
% 1.08/1.15 (~P2(a5,f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[33,151,115,59,20,21,11])).
% 1.08/1.15 cnf(155,plain,
% 1.08/1.15 (E(a4,f2(a4,a5))),
% 1.08/1.15 inference(scs_inference,[],[36,33,151,115,59,20,21,11,2])).
% 1.08/1.15 cnf(156,plain,
% 1.08/1.15 (~P2(f1(a4),f2(f3(a5),f2(f3(a5),a5)))),
% 1.08/1.15 inference(scs_inference,[],[36,33,151,34,138,115,59,20,21,11,2,12])).
% 1.08/1.15 cnf(158,plain,
% 1.08/1.15 (E(f2(f2(x1581,x1582),x1583),f2(f2(x1581,f1(x1581)),f2(x1582,x1583)))),
% 1.08/1.15 inference(scs_inference,[],[36,16,33,151,34,138,130,115,59,20,21,11,2,12,3])).
% 1.08/1.15 cnf(162,plain,
% 1.08/1.15 (P2(f2(a4,a5),f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 1.08/1.15 inference(scs_inference,[],[15,111,136,20,21])).
% 1.08/1.15 cnf(167,plain,
% 1.08/1.15 (~E(f2(f2(f3(a5),a5),f1(a5)),f1(a4))),
% 1.08/1.15 inference(scs_inference,[],[15,47,111,136,131,58,20,21,11,2])).
% 1.08/1.15 cnf(168,plain,
% 1.08/1.15 (~P2(f2(a5,f1(a5)),f3(f1(a4)))),
% 1.08/1.15 inference(scs_inference,[],[15,47,111,136,148,131,119,58,20,21,11,2,12])).
% 1.08/1.15 cnf(169,plain,
% 1.08/1.15 (~E(f2(f3(a5),f2(a5,f1(a5))),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[15,16,47,111,136,148,131,119,58,20,21,11,2,12,3])).
% 1.08/1.16 cnf(174,plain,
% 1.08/1.16 (~P2(f2(f3(a5),f2(a5,f1(a5))),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[169,20])).
% 1.08/1.16 cnf(176,plain,
% 1.08/1.16 (P1(f2(f1(a4),f1(f1(a4))))),
% 1.08/1.16 inference(scs_inference,[],[33,169,53,20,10])).
% 1.08/1.16 cnf(177,plain,
% 1.08/1.16 (E(x1771,f2(x1771,f1(x1771)))),
% 1.08/1.16 inference(rename_variables,[],[33])).
% 1.08/1.16 cnf(178,plain,
% 1.08/1.16 (~E(f1(a4),f2(f3(a5),f2(f3(a5),a5)))),
% 1.08/1.16 inference(scs_inference,[],[33,169,156,53,20,10,21])).
% 1.08/1.16 cnf(180,plain,
% 1.08/1.16 (P2(a4,f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 1.08/1.16 inference(scs_inference,[],[36,33,162,169,156,53,20,10,21,11])).
% 1.08/1.16 cnf(181,plain,
% 1.08/1.16 (E(f1(a4),f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[38,36,33,162,169,156,53,20,10,21,11,2])).
% 1.08/1.16 cnf(182,plain,
% 1.08/1.16 (E(f3(a5),f2(f1(a4),f1(f1(a4))))),
% 1.08/1.16 inference(scs_inference,[],[38,36,33,177,162,169,156,53,20,10,21,11,2,3])).
% 1.08/1.16 cnf(188,plain,
% 1.08/1.16 (E(f3(f3(a5)),f3(f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[38,36,33,177,162,169,156,167,112,53,20,10,21,11,2,3,25,30,7])).
% 1.08/1.16 cnf(190,plain,
% 1.08/1.16 (E(f6(x1901,f3(a5)),f6(x1901,f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[38,36,33,177,162,169,156,167,112,53,20,10,21,11,2,3,25,30,7,6,9])).
% 1.08/1.16 cnf(193,plain,
% 1.08/1.16 (E(f2(f3(a5),x1931),f2(f1(a4),x1931))),
% 1.08/1.16 inference(scs_inference,[],[38,36,33,177,162,169,156,167,112,53,20,10,21,11,2,3,25,30,7,6,9,8,4,5])).
% 1.08/1.16 cnf(194,plain,
% 1.08/1.16 (P1(f3(f2(a4,a5)))),
% 1.08/1.16 inference(scs_inference,[],[38,36,33,177,162,169,156,167,112,53,20,10,21,11,2,3,25,30,7,6,9,8,4,5,18])).
% 1.08/1.16 cnf(196,plain,
% 1.08/1.16 (E(a4,f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 1.08/1.16 inference(scs_inference,[],[180,20])).
% 1.08/1.16 cnf(199,plain,
% 1.08/1.16 (E(x1991,f2(x1991,f1(x1991)))),
% 1.08/1.16 inference(rename_variables,[],[33])).
% 1.08/1.16 cnf(201,plain,
% 1.08/1.16 (~P2(a5,f3(f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[33,199,168,180,51,20,21,11])).
% 1.08/1.16 cnf(203,plain,
% 1.08/1.16 (~E(f2(f3(a5),f2(f3(a5),a5)),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[33,199,168,178,180,51,20,21,11,2])).
% 1.08/1.16 cnf(204,plain,
% 1.08/1.16 (~E(f1(a4),f2(f2(f3(a5),f3(a5)),a5))),
% 1.08/1.16 inference(scs_inference,[],[16,33,199,168,178,180,51,20,21,11,2,3])).
% 1.08/1.16 cnf(206,plain,
% 1.08/1.16 (P1(f3(f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[16,33,199,176,168,178,180,51,20,21,11,2,3,31])).
% 1.08/1.16 cnf(209,plain,
% 1.08/1.16 (~P2(f2(f3(a5),f2(f3(a5),a5)),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[203,20])).
% 1.08/1.16 cnf(211,plain,
% 1.08/1.16 (P2(f6(f2(f3(a5),a5),f1(a4)),f6(a5,f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[46,125,203,20,21])).
% 1.08/1.16 cnf(214,plain,
% 1.08/1.16 (P2(a4,f2(a4,a5))),
% 1.08/1.16 inference(scs_inference,[],[36,46,125,203,64,20,21,11])).
% 1.08/1.16 cnf(215,plain,
% 1.08/1.16 (P2(a4,f2(f2(a4,a5),f1(f2(a4,a5))))),
% 1.08/1.16 inference(scs_inference,[],[33,36,46,125,203,64,20,21,11,12])).
% 1.08/1.16 cnf(217,plain,
% 1.08/1.16 (E(f3(f2(x2171,f1(x2171))),f3(x2171))),
% 1.08/1.16 inference(scs_inference,[],[33,36,122,46,125,203,64,20,21,11,12,2])).
% 1.08/1.16 cnf(218,plain,
% 1.08/1.16 (P1(f6(a5,f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[33,36,122,46,125,203,64,20,21,11,12,2,22])).
% 1.08/1.16 cnf(220,plain,
% 1.08/1.16 (~E(f2(f2(f3(a5),f3(a5)),a5),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[33,36,122,46,76,125,203,64,20,21,11,12,2,22,3])).
% 1.08/1.16 cnf(224,plain,
% 1.08/1.16 (~E(f1(a4),f2(a5,f1(a5)))),
% 1.08/1.16 inference(scs_inference,[],[101,215,53,20,21])).
% 1.08/1.16 cnf(226,plain,
% 1.08/1.16 (P2(f2(a4,f1(a4)),f2(a4,a5))),
% 1.08/1.16 inference(scs_inference,[],[33,101,214,215,53,20,21,11])).
% 1.08/1.16 cnf(228,plain,
% 1.08/1.16 (~P2(f2(f3(a5),a5),f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[33,38,127,101,214,215,53,20,21,11,12])).
% 1.08/1.16 cnf(229,plain,
% 1.08/1.16 (~E(f1(f2(f3(a4),a4)),a5)),
% 1.08/1.16 inference(scs_inference,[],[33,38,127,101,214,215,103,53,20,21,11,12,2])).
% 1.08/1.16 cnf(230,plain,
% 1.08/1.16 (~E(f2(f2(f3(a5),f3(a5)),a5),f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[33,38,220,127,101,214,215,103,53,20,21,11,12,2,3])).
% 1.08/1.16 cnf(233,plain,
% 1.08/1.16 (P2(f3(a4),f2(f3(f3(a4)),f3(a4)))),
% 1.08/1.16 inference(scs_inference,[],[230,111,51,20,21])).
% 1.08/1.16 cnf(237,plain,
% 1.08/1.16 (P2(f2(a4,f1(a4)),a4)),
% 1.08/1.16 inference(scs_inference,[],[36,38,226,230,57,111,51,20,21,11,12])).
% 1.08/1.16 cnf(238,plain,
% 1.08/1.16 (E(f1(f2(x2381,f1(x2381))),f1(x2381))),
% 1.08/1.16 inference(scs_inference,[],[36,38,124,226,230,57,111,51,20,21,11,12,2])).
% 1.08/1.16 cnf(239,plain,
% 1.08/1.16 (E(f3(f2(a5,f1(a5))),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[36,38,124,217,226,230,57,111,51,20,21,11,12,2,3])).
% 1.08/1.16 cnf(245,plain,
% 1.08/1.16 (E(f2(x2451,f2(a4,a5)),f2(x2451,a4))),
% 1.08/1.16 inference(scs_inference,[],[41,36,38,124,217,226,230,57,111,176,51,20,21,11,12,2,3,30,25,6])).
% 1.08/1.16 cnf(247,plain,
% 1.08/1.16 (E(f3(f2(a4,a5)),f3(a4))),
% 1.08/1.16 inference(scs_inference,[],[41,36,38,124,217,226,230,57,111,176,51,20,21,11,12,2,3,30,25,6,9,7])).
% 1.08/1.16 cnf(248,plain,
% 1.08/1.16 (E(f1(f2(a4,a5)),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[41,36,38,124,217,226,230,57,111,176,51,20,21,11,12,2,3,30,25,6,9,7,4])).
% 1.08/1.16 cnf(249,plain,
% 1.08/1.16 (E(f6(f2(a4,a5),x2491),f6(a4,x2491))),
% 1.08/1.16 inference(scs_inference,[],[41,36,38,124,217,226,230,57,111,176,51,20,21,11,12,2,3,30,25,6,9,7,4,8])).
% 1.08/1.16 cnf(250,plain,
% 1.08/1.16 (E(f2(f2(a4,a5),x2501),f2(a4,x2501))),
% 1.08/1.16 inference(scs_inference,[],[41,36,38,124,217,226,230,57,111,176,51,20,21,11,12,2,3,30,25,6,9,7,4,8,5])).
% 1.08/1.16 cnf(253,plain,
% 1.08/1.16 (P1(f2(a4,f2(a5,f1(a5))))),
% 1.08/1.16 inference(scs_inference,[],[239,53,32])).
% 1.08/1.16 cnf(259,plain,
% 1.08/1.16 (P2(f1(a4),f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[121,181,239,55,226,53,32,10,20,21])).
% 1.08/1.16 cnf(262,plain,
% 1.08/1.16 (E(f1(f2(x2621,f1(x2621))),f1(x2621))),
% 1.08/1.16 inference(rename_variables,[],[238])).
% 1.08/1.16 cnf(263,plain,
% 1.08/1.16 (P2(a4,a4)),
% 1.08/1.16 inference(scs_inference,[],[34,36,238,121,181,239,55,226,214,53,32,10,20,21,11,12])).
% 1.08/1.16 cnf(269,plain,
% 1.08/1.16 (~E(f3(a5),a5)),
% 1.08/1.16 inference(scs_inference,[],[34,36,238,262,121,181,239,55,230,226,214,112,53,32,10,20,21,11,12,2,3,31,85])).
% 1.08/1.16 cnf(271,plain,
% 1.08/1.16 (~P2(f1(a4),f2(f2(f3(a5),f3(a5)),a5))),
% 1.08/1.16 inference(scs_inference,[],[204,20])).
% 1.08/1.16 cnf(274,plain,
% 1.08/1.16 (E(f2(x2741,f2(x2742,f1(x2742))),f2(x2741,x2742))),
% 1.08/1.16 inference(scs_inference,[],[38,123,204,174,20,12,2])).
% 1.08/1.16 cnf(275,plain,
% 1.08/1.16 (~E(f3(a5),f2(f2(f3(a5),a5),f1(a5)))),
% 1.08/1.16 inference(scs_inference,[],[38,123,269,204,174,77,20,12,2,3])).
% 1.08/1.16 cnf(285,plain,
% 1.08/1.16 (P2(f6(a5,f1(a4)),f6(f2(a5,f1(a5)),f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[129,218,21])).
% 1.08/1.16 cnf(288,plain,
% 1.08/1.16 (P2(f1(a4),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[38,129,218,259,21,12])).
% 1.08/1.16 cnf(289,plain,
% 1.08/1.16 (~E(f2(f2(f3(a5),a5),f1(a5)),f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[38,129,218,275,259,21,12,2])).
% 1.08/1.16 cnf(290,plain,
% 1.08/1.16 (E(f2(a4,f2(a5,f1(a5))),a4)),
% 1.08/1.16 inference(scs_inference,[],[36,38,129,274,218,275,259,21,12,2,3])).
% 1.08/1.16 cnf(294,plain,
% 1.08/1.16 (~E(x2941,x2942)+P2(x2941,x2942)+~P1(x2941)),
% 1.08/1.16 inference(rename_variables,[],[21])).
% 1.08/1.16 cnf(295,plain,
% 1.08/1.16 (P2(f6(a5,f1(a4)),f6(a5,f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[253,290,211,46,21,11])).
% 1.08/1.16 cnf(297,plain,
% 1.08/1.16 (P2(f2(a4,a5),f2(f3(f2(a4,a5)),a4))),
% 1.08/1.16 inference(scs_inference,[],[245,253,290,211,46,162,21,11,12])).
% 1.08/1.16 cnf(298,plain,
% 1.08/1.16 (E(f2(x2981,f2(a4,a5)),f2(x2981,a4))),
% 1.08/1.16 inference(rename_variables,[],[245])).
% 1.08/1.16 cnf(299,plain,
% 1.08/1.16 (~E(f1(a4),f2(f3(a5),f2(a5,f1(a5))))),
% 1.08/1.16 inference(scs_inference,[],[245,253,290,211,46,169,162,21,11,12,2])).
% 1.08/1.16 cnf(300,plain,
% 1.08/1.16 (E(a4,f2(f3(f2(a4,a5)),a4))),
% 1.08/1.16 inference(scs_inference,[],[196,245,298,253,290,211,46,169,162,21,11,12,2,3])).
% 1.08/1.16 cnf(307,plain,
% 1.08/1.16 (E(f3(a4),f3(f2(a4,a5)))),
% 1.08/1.16 inference(scs_inference,[],[155,196,245,298,253,289,290,211,46,169,162,69,21,11,12,2,3,25,30,9,7])).
% 1.08/1.16 cnf(308,plain,
% 1.08/1.16 (E(f2(x3081,a4),f2(x3081,f2(a4,a5)))),
% 1.08/1.16 inference(scs_inference,[],[155,196,245,298,253,289,290,211,46,169,162,69,21,11,12,2,3,25,30,9,7,6])).
% 1.08/1.16 cnf(310,plain,
% 1.08/1.16 (E(f1(a4),f1(f2(a4,a5)))),
% 1.08/1.16 inference(scs_inference,[],[155,196,245,298,253,289,290,211,46,169,162,69,21,11,12,2,3,25,30,9,7,6,8,4])).
% 1.08/1.16 cnf(311,plain,
% 1.08/1.16 (E(f2(a4,x3111),f2(f2(a4,a5),x3111))),
% 1.08/1.16 inference(scs_inference,[],[155,196,245,298,253,289,290,211,46,169,162,69,21,11,12,2,3,25,30,9,7,6,8,4,5])).
% 1.08/1.16 cnf(312,plain,
% 1.08/1.16 (E(f2(a4,a5),f2(f3(f2(a4,a5)),a4))),
% 1.08/1.16 inference(scs_inference,[],[155,196,245,298,253,289,290,211,46,169,162,69,21,11,12,2,3,25,30,9,7,6,8,4,5,20])).
% 1.08/1.16 cnf(314,plain,
% 1.08/1.16 (P2(f3(a5),f1(a4))+~P1(f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[38,155,196,245,298,253,289,290,211,46,169,162,69,21,11,12,2,3,25,30,9,7,6,8,4,5,20,294])).
% 1.08/1.16 cnf(318,plain,
% 1.08/1.16 (~P2(a5,f2(f1(a4),f1(f1(a4))))),
% 1.08/1.16 inference(scs_inference,[],[133,20])).
% 1.08/1.16 cnf(322,plain,
% 1.08/1.16 (E(f6(x3221,x3222),f6(x3221,f2(f3(x3222),x3222)))),
% 1.08/1.16 inference(scs_inference,[],[38,45,133,271,209,20,11,12,2])).
% 1.08/1.16 cnf(323,plain,
% 1.08/1.16 (~E(a5,f2(f3(a5),f1(f1(a4))))),
% 1.08/1.16 inference(scs_inference,[],[38,45,193,133,271,209,20,11,12,2,3])).
% 1.08/1.16 cnf(333,plain,
% 1.08/1.16 (P2(f3(f2(a4,a5)),f3(a4))),
% 1.08/1.16 inference(scs_inference,[],[311,247,194,253,10,21])).
% 1.08/1.16 cnf(335,plain,
% 1.08/1.16 (P2(f2(a4,f1(f2(a4,a5))),a4)),
% 1.08/1.16 inference(scs_inference,[],[250,311,247,194,134,253,10,21,11])).
% 1.08/1.16 cnf(337,plain,
% 1.08/1.16 (~P2(a5,f3(f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[188,250,311,247,201,194,134,253,10,21,11,12])).
% 1.08/1.16 cnf(339,plain,
% 1.08/1.16 (E(f6(f2(a4,a5),f2(f3(x3391),x3391)),f6(a4,x3391))),
% 1.08/1.16 inference(scs_inference,[],[45,188,249,250,311,247,323,201,194,134,253,10,21,11,12,2,3])).
% 1.08/1.16 cnf(342,plain,
% 1.08/1.16 (P1(f2(f3(f2(a4,a5)),a4))),
% 1.08/1.16 inference(scs_inference,[],[45,297,188,249,250,311,247,323,201,194,134,253,10,21,11,12,2,3,22])).
% 1.08/1.16 cnf(348,plain,
% 1.08/1.16 (P2(f1(f2(a4,a5)),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[229,248,117,20,21])).
% 1.08/1.16 cnf(350,plain,
% 1.08/1.16 (P2(f3(f2(a4,a5)),f2(f3(f3(a4)),f3(a4)))),
% 1.08/1.16 inference(scs_inference,[],[229,248,307,117,233,20,21,11])).
% 1.08/1.16 cnf(351,plain,
% 1.08/1.16 (P2(f3(f2(a4,a5)),f3(f2(a4,a5)))),
% 1.08/1.16 inference(scs_inference,[],[229,248,307,333,117,233,20,21,11,12])).
% 1.08/1.16 cnf(352,plain,
% 1.08/1.16 (E(f6(x3521,x3522),f6(f2(f3(x3521),x3521),x3522))),
% 1.08/1.16 inference(scs_inference,[],[46,229,248,307,333,117,233,20,21,11,12,2])).
% 1.08/1.16 cnf(353,plain,
% 1.08/1.16 (E(f6(f2(f3(x3531),x3531),f3(a5)),f6(x3531,f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[46,190,229,248,307,333,117,233,20,21,11,12,2,3])).
% 1.08/1.16 cnf(357,plain,
% 1.08/1.16 (E(f3(f2(a4,a5)),f2(f3(f3(a4)),f3(a4)))),
% 1.08/1.16 inference(scs_inference,[],[350,20])).
% 1.08/1.16 cnf(359,plain,
% 1.08/1.16 (~P2(a5,f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,20,12])).
% 1.08/1.16 cnf(360,plain,
% 1.08/1.16 (~E(a5,f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,269,20,12,2])).
% 1.08/1.16 cnf(361,plain,
% 1.08/1.16 (~E(f3(a5),f2(f3(a5),f2(f3(a5),a5)))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,138,269,20,12,2,3])).
% 1.08/1.16 cnf(363,plain,
% 1.08/1.16 (P1(f2(a4,f1(f2(a4,a5))))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,335,138,269,20,12,2,3,23])).
% 1.08/1.16 cnf(365,plain,
% 1.08/1.16 (P1(f6(f3(a5),a5))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,335,138,269,20,12,2,3,23,25])).
% 1.08/1.16 cnf(367,plain,
% 1.08/1.16 (E(f6(x3671,f1(a4)),f6(x3671,f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,335,138,269,181,20,12,2,3,23,25,9])).
% 1.08/1.16 cnf(368,plain,
% 1.08/1.16 (E(f2(x3681,x3682),f2(x3681,f2(f3(x3682),x3682)))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,335,138,111,269,181,20,12,2,3,23,25,9,6])).
% 1.08/1.16 cnf(370,plain,
% 1.08/1.16 (E(f3(x3701),f3(f2(f3(x3701),x3701)))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,335,138,111,269,181,20,12,2,3,23,25,9,6,8,7])).
% 1.08/1.16 cnf(371,plain,
% 1.08/1.16 (E(f1(x3711),f1(f2(f3(x3711),x3711)))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,335,138,111,269,181,20,12,2,3,23,25,9,6,8,7,4])).
% 1.08/1.16 cnf(372,plain,
% 1.08/1.16 (E(f2(x3721,x3722),f2(f2(f3(x3721),x3721),x3722))),
% 1.08/1.16 inference(scs_inference,[],[182,350,318,335,138,111,269,181,20,12,2,3,23,25,9,6,8,7,4,5])).
% 1.08/1.16 cnf(375,plain,
% 1.08/1.16 (P2(f2(f3(f2(a4,a5)),a4),a4)),
% 1.08/1.16 inference(scs_inference,[],[182,350,228,318,300,335,263,138,111,269,181,20,12,2,3,23,25,9,6,8,7,4,5,21,11])).
% 1.08/1.16 cnf(381,plain,
% 1.08/1.16 (P1(f6(f2(a5,f1(a5)),f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[285,22])).
% 1.08/1.16 cnf(385,plain,
% 1.08/1.16 (P2(f3(a4),f3(f2(f3(a4),a4)))),
% 1.08/1.16 inference(scs_inference,[],[370,361,285,51,22,20,21])).
% 1.08/1.16 cnf(388,plain,
% 1.08/1.16 (~P2(f2(f2(f3(a5),a5),f1(a5)),f3(f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[370,361,337,285,77,51,22,20,21,11])).
% 1.08/1.16 cnf(390,plain,
% 1.08/1.16 (P2(f3(a4),f3(a4))),
% 1.08/1.16 inference(scs_inference,[],[47,370,361,337,285,77,51,22,20,21,11,12])).
% 1.08/1.16 cnf(396,plain,
% 1.08/1.16 (E(f3(f1(f2(a4,a5))),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[47,370,372,158,363,308,361,337,285,77,51,22,20,21,11,12,2,3,27])).
% 1.08/1.16 cnf(405,plain,
% 1.08/1.16 (P2(f2(f3(f3(a4)),f3(a4)),f3(f2(a4,a5)))),
% 1.08/1.16 inference(scs_inference,[],[351,357,375,310,53,20,21,11])).
% 1.08/1.16 cnf(406,plain,
% 1.08/1.16 (P2(f3(a4),f3(f2(a4,f1(a4))))),
% 1.08/1.16 inference(scs_inference,[],[351,357,390,375,310,122,53,20,21,11,12])).
% 1.08/1.16 cnf(408,plain,
% 1.08/1.16 (~E(f2(f3(a5),f2(f3(a5),a5)),f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[351,357,390,375,310,122,361,53,20,21,11,12,2])).
% 1.08/1.16 cnf(414,plain,
% 1.08/1.16 (~P2(f1(a4),f2(f3(a5),f2(a5,f1(a5))))),
% 1.08/1.16 inference(scs_inference,[],[322,365,299,10,20])).
% 1.08/1.16 cnf(416,plain,
% 1.08/1.16 (P2(f6(a5,f3(a5)),f6(a5,f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[322,295,365,367,299,10,20,11])).
% 1.08/1.16 cnf(419,plain,
% 1.08/1.16 (E(f2(f3(f2(a4,a5)),a4),f2(a4,a5))),
% 1.08/1.16 inference(scs_inference,[],[322,312,295,365,367,299,396,153,10,20,11,12,2])).
% 1.08/1.16 cnf(420,plain,
% 1.08/1.16 (~E(a5,f3(f2(f3(a5),a5)))),
% 1.08/1.16 inference(scs_inference,[],[47,322,312,295,365,367,299,396,153,360,10,20,11,12,2,3])).
% 1.08/1.16 cnf(433,plain,
% 1.08/1.16 (P2(f6(a5,f1(a4)),f6(f2(f3(a5),a5),f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[416,352,405,218,23,20,21])).
% 1.08/1.16 cnf(434,plain,
% 1.08/1.16 (E(f6(x4341,x4342),f6(f2(f3(x4341),x4341),x4342))),
% 1.08/1.16 inference(rename_variables,[],[352])).
% 1.08/1.16 cnf(436,plain,
% 1.08/1.16 (~E(f1(f2(a4,a5)),f2(f3(a5),a5))),
% 1.08/1.16 inference(scs_inference,[],[416,352,405,348,218,127,23,20,21,11])).
% 1.08/1.16 cnf(437,plain,
% 1.08/1.16 (P2(f6(a5,f3(a5)),f6(f2(f3(a5),a5),f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[416,352,434,405,348,218,127,23,20,21,11,12])).
% 1.08/1.16 cnf(442,plain,
% 1.08/1.16 (E(f2(x4421,f2(f3(x4422),x4422)),f2(x4421,x4422))),
% 1.08/1.16 inference(rename_variables,[],[48])).
% 1.08/1.16 cnf(443,plain,
% 1.08/1.16 (E(f2(x4431,f1(a4)),f2(x4431,f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[48,416,420,352,434,405,348,218,250,127,181,23,20,21,11,12,2,3,6])).
% 1.08/1.16 cnf(444,plain,
% 1.08/1.16 (E(f3(f1(a4)),f3(f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[48,416,420,352,434,405,348,218,250,127,181,23,20,21,11,12,2,3,6,7])).
% 1.08/1.16 cnf(447,plain,
% 1.08/1.16 (E(f6(f2(x4471,f1(x4471)),x4472),f6(x4471,x4472))),
% 1.08/1.16 inference(scs_inference,[],[48,416,420,352,434,405,348,218,250,127,181,13,23,20,21,11,12,2,3,6,7,9,4,8])).
% 1.08/1.16 cnf(448,plain,
% 1.08/1.16 (E(f2(f1(a4),x4481),f2(f3(a5),x4481))),
% 1.08/1.16 inference(scs_inference,[],[48,416,420,352,434,405,348,218,250,127,181,13,23,20,21,11,12,2,3,6,7,9,4,8,5])).
% 1.08/1.16 cnf(449,plain,
% 1.08/1.16 (~P1(f2(x4491,f2(f3(x4492),x4492)))+P1(f2(x4491,x4492))),
% 1.08/1.16 inference(scs_inference,[],[48,442,416,420,352,434,405,348,218,250,127,181,13,23,20,21,11,12,2,3,6,7,9,4,8,5,10])).
% 1.08/1.16 cnf(454,plain,
% 1.08/1.16 (~P2(f1(f2(a4,a5)),f2(f3(a5),a5))),
% 1.08/1.16 inference(scs_inference,[],[436,20])).
% 1.08/1.16 cnf(459,plain,
% 1.08/1.16 (P2(f1(f2(f3(a4),a4)),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[371,447,381,436,288,20,21,11])).
% 1.08/1.16 cnf(461,plain,
% 1.08/1.16 (~E(f3(a5),f2(f3(a5),f2(a5,f1(a5))))),
% 1.08/1.16 inference(scs_inference,[],[371,447,381,436,414,288,259,20,21,11,12])).
% 1.08/1.16 cnf(463,plain,
% 1.08/1.16 (~E(f2(a5,f1(a5)),f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[49,371,447,381,436,339,414,288,289,259,20,21,11,12,2,3])).
% 1.08/1.16 cnf(465,plain,
% 1.08/1.16 (E(f3(a4),f1(f3(f2(a4,a5))))),
% 1.08/1.16 inference(scs_inference,[],[49,371,447,381,436,339,414,288,342,289,259,20,21,11,12,2,3,27])).
% 1.08/1.16 cnf(467,plain,
% 1.08/1.16 (P1(f2(f3(f3(a4)),f3(a4)))),
% 1.08/1.16 inference(scs_inference,[],[49,371,447,381,436,339,414,288,342,289,405,259,20,21,11,12,2,3,27,23])).
% 1.08/1.16 cnf(475,plain,
% 1.08/1.16 (E(f6(a5,f3(a5)),f6(f2(f3(a5),a5),f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[437,467,30,20])).
% 1.08/1.16 cnf(477,plain,
% 1.08/1.16 (P2(f2(a4,f3(a5)),a4)),
% 1.08/1.16 inference(scs_inference,[],[437,443,467,237,30,20,11])).
% 1.08/1.16 cnf(481,plain,
% 1.08/1.16 (~E(f3(a5),f2(a5,f1(a5)))),
% 1.08/1.16 inference(scs_inference,[],[47,437,443,467,463,359,237,30,20,11,12,2])).
% 1.08/1.16 cnf(491,plain,
% 1.08/1.16 (P1(f3(f2(f3(a4),a4)))),
% 1.08/1.16 inference(scs_inference,[],[385,459,23,22])).
% 1.08/1.16 cnf(493,plain,
% 1.08/1.16 (~P2(f3(a5),f2(a5,f1(a5)))),
% 1.08/1.16 inference(scs_inference,[],[385,481,459,23,22,20])).
% 1.08/1.16 cnf(495,plain,
% 1.08/1.16 (P2(f3(f1(a4)),f3(f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[385,444,481,459,206,23,22,20,21])).
% 1.08/1.16 cnf(497,plain,
% 1.08/1.16 (~E(f3(f1(a4)),f2(f2(f3(a5),a5),f1(a5)))),
% 1.08/1.16 inference(scs_inference,[],[385,444,481,459,206,388,23,22,20,21,11])).
% 1.08/1.16 cnf(498,plain,
% 1.08/1.16 (~P2(f1(f2(a4,a5)),f2(f1(a4),a5))),
% 1.08/1.16 inference(scs_inference,[],[454,448,385,444,481,459,206,388,23,22,20,21,11,12])).
% 1.08/1.16 cnf(500,plain,
% 1.08/1.16 (E(f6(f2(f3(a5),a5),f1(a4)),f6(a5,f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[475,454,448,385,444,481,459,206,388,23,22,20,21,11,12,2])).
% 1.08/1.16 cnf(501,plain,
% 1.08/1.16 (P1(f2(f3(a4),a4))),
% 1.08/1.16 inference(scs_inference,[],[475,454,448,385,444,481,459,206,388,23,22,20,21,11,12,2,18])).
% 1.08/1.16 cnf(511,plain,
% 1.08/1.16 (P2(f6(a5,f1(a4)),f6(a5,f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[47,368,501,433,500,491,477,465,390,10,20,21,11,12])).
% 1.08/1.16 cnf(512,plain,
% 1.08/1.16 (~E(f2(f2(f3(a5),a5),f1(a5)),f3(f1(a4)))),
% 1.08/1.16 inference(scs_inference,[],[47,368,501,433,500,491,497,477,465,390,10,20,21,11,12,2])).
% 1.08/1.16 cnf(518,plain,
% 1.08/1.16 (E(f2(f2(x5181,f1(x5181)),x5182),f2(x5181,x5182))),
% 1.08/1.16 inference(scs_inference,[],[47,368,501,433,500,491,497,477,465,390,13,10,20,21,11,12,2,6,9,7,4,8,5])).
% 1.08/1.16 cnf(521,plain,
% 1.08/1.16 (P1(f3(f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[47,368,501,433,500,491,497,495,477,465,390,463,13,10,20,21,11,12,2,6,9,7,4,8,5,26,22])).
% 1.08/1.16 cnf(525,plain,
% 1.08/1.16 (~E(f1(f2(a4,a5)),f2(f1(a4),a5))),
% 1.08/1.16 inference(scs_inference,[],[512,498,117,20,21])).
% 1.08/1.16 cnf(527,plain,
% 1.08/1.16 (P2(f6(f2(a5,f1(a5)),f1(a4)),f6(a5,f3(a5)))),
% 1.08/1.16 inference(scs_inference,[],[511,512,498,129,117,20,21,11])).
% 1.08/1.16 cnf(534,plain,
% 1.08/1.16 (P1(f3(a5))),
% 1.08/1.16 inference(scs_inference,[],[50,518,511,224,353,512,498,521,129,153,117,20,21,11,12,3,2,19])).
% 1.08/1.16 cnf(536,plain,
% 1.08/1.16 (E(f3(a4),f1(f3(a4)))),
% 1.08/1.16 inference(scs_inference,[],[50,518,511,224,353,512,498,521,129,501,153,117,20,21,11,12,3,2,19,27])).
% 1.08/1.16 cnf(541,plain,
% 1.08/1.16 (P2(f3(a5),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[50,49,518,511,224,353,512,498,521,129,501,481,153,117,20,21,11,12,3,2,19,27,25,10,314])).
% 1.08/1.16 cnf(557,plain,
% 1.08/1.16 (~P1(f2(f3(a5),a5))),
% 1.08/1.16 inference(scs_inference,[],[48,49,51,527,525,493,408,536,495,337,20,21,11,12,3,2,28])).
% 1.08/1.16 cnf(566,plain,
% 1.08/1.16 (~P1(f3(f2(f3(a5),a5)))),
% 1.08/1.16 inference(scs_inference,[],[48,49,51,527,525,493,408,536,495,337,20,21,11,12,3,2,28,23,22,10,18,19])).
% 1.08/1.16 cnf(585,plain,
% 1.08/1.16 (P2(f3(f2(f3(a5),a5)),f1(a4))),
% 1.08/1.16 inference(scs_inference,[],[53,557,419,461,534,541,124,370,406,477,342,449,19,23,22,10,20,21,11])).
% 1.08/1.16 cnf(595,plain,
% 1.08/1.16 ($false),
% 1.08/1.16 inference(scs_inference,[],[566,585,23]),
% 1.08/1.16 ['proof']).
% 1.08/1.16 % SZS output end Proof
% 1.08/1.16 % Total time :0.520000s
%------------------------------------------------------------------------------