TSTP Solution File: CAT006-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:13:41 EDT 2023
% Result : Unsatisfiable 1.13s 1.31s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n002.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 : Sun Aug 27 00:37:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.13/1.30 %-------------------------------------------
% 1.13/1.30 % File :CSE---1.6
% 1.13/1.30 % Problem :theBenchmark
% 1.13/1.30 % Transform :cnf
% 1.13/1.30 % Format :tptp:raw
% 1.13/1.30 % Command :java -jar mcs_scs.jar %d %s
% 1.13/1.30
% 1.13/1.30 % Result :Theorem 0.690000s
% 1.13/1.30 % Output :CNFRefutation 0.690000s
% 1.13/1.30 %-------------------------------------------
% 1.13/1.31 %--------------------------------------------------------------------------
% 1.13/1.31 % File : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% 1.13/1.31 % Domain : Category Theory
% 1.13/1.31 % Problem : Codomain is the unique left identity
% 1.13/1.31 % Version : [Sco79] axioms : Reduced > Complete.
% 1.13/1.31 % English : codomain(x) is the unique identity j such that jx is defined.
% 1.13/1.31
% 1.13/1.31 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 1.13/1.31 % Source : [ANL]
% 1.13/1.31 % Names : p6.ver3.in [ANL]
% 1.13/1.31
% 1.13/1.31 % Status : Unsatisfiable
% 1.13/1.31 % 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, 0.07 v6.4.0, 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, 0.12 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.27 v2.7.0, 0.17 v2.6.0, 0.30 v2.5.0, 0.17 v2.4.0, 0.22 v2.3.0, 0.33 v2.2.1, 0.44 v2.2.0, 0.56 v2.1.0, 0.56 v2.0.0
% 1.13/1.31 % Syntax : Number of clauses : 21 ( 5 unt; 2 nHn; 16 RR)
% 1.13/1.31 % Number of literals : 43 ( 18 equ; 20 neg)
% 1.13/1.31 % Maximal clause size : 4 ( 2 avg)
% 1.13/1.31 % Maximal term depth : 3 ( 1 avg)
% 1.13/1.31 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 1.13/1.31 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 1.13/1.31 % Number of variables : 33 ( 4 sgn)
% 1.13/1.31 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.13/1.31
% 1.13/1.31 % Comments : Axioms simplified by Art Quaife.
% 1.13/1.31 %--------------------------------------------------------------------------
% 1.13/1.31 %----Include Scott's axioms for category theory
% 1.13/1.31 include('Axioms/CAT003-0.ax').
% 1.13/1.31 %--------------------------------------------------------------------------
% 1.13/1.31 %----Denial of theorem: d is an identity which is not cod(a),
% 1.13/1.31 cnf(da_exists,hypothesis,
% 1.13/1.31 there_exists(compose(d,a)) ).
% 1.13/1.31
% 1.13/1.31 cnf(xd_equals_x,hypothesis,
% 1.13/1.31 ( ~ there_exists(compose(X,d))
% 1.13/1.31 | compose(X,d) = X ) ).
% 1.13/1.31
% 1.13/1.31 cnf(dx_equals_x,hypothesis,
% 1.13/1.31 ( ~ there_exists(compose(d,X))
% 1.13/1.31 | compose(d,X) = X ) ).
% 1.13/1.31
% 1.13/1.31 cnf(prove_codomain_of_a_is_d,negated_conjecture,
% 1.13/1.31 codomain(a) != d ).
% 1.13/1.31
% 1.13/1.31 %--------------------------------------------------------------------------
% 1.13/1.31 %-------------------------------------------
% 1.13/1.31 % Proof found
% 1.13/1.31 % SZS status Theorem for theBenchmark
% 1.13/1.31 % SZS output start Proof
% 1.13/1.31 %ClaNum:32(EqnAxiom:12)
% 1.13/1.31 %VarNum:64(SingletonVarNum:29)
% 1.13/1.31 %MaxLitNum:3
% 1.13/1.31 %MaxfuncDepth:2
% 1.13/1.31 %SharedTerms:6
% 1.13/1.31 %goalClause: 17
% 1.13/1.31 %singleGoalClaCount:1
% 1.13/1.31 [15]P1(f2(a5,a4))
% 1.13/1.31 [17]~E(f3(a4),a5)
% 1.13/1.31 [13]E(f2(x131,f1(x131)),x131)
% 1.13/1.31 [14]E(f2(f3(x141),x141),x141)
% 1.13/1.31 [16]E(f2(f2(x161,x162),x163),f2(x161,f2(x162,x163)))
% 1.13/1.31 [18]P1(x181)+~P1(f1(x181))
% 1.13/1.31 [19]P1(x191)+~P1(f3(x191))
% 1.13/1.31 [28]E(f2(x281,a5),x281)+~P1(f2(x281,a5))
% 1.13/1.31 [29]E(f2(a5,x291),x291)+~P1(f2(a5,x291))
% 1.13/1.31 [20]~P2(x201,x202)+E(x201,x202)
% 1.13/1.31 [22]P1(x221)+~P2(x222,x221)
% 1.13/1.31 [23]P1(x231)+~P2(x231,x232)
% 1.13/1.31 [25]E(x251,x252)+P1(f6(x251,x252))
% 1.13/1.31 [27]E(f3(x271),f1(x272))+~P1(f2(x272,x271))
% 1.13/1.31 [30]P1(f1(x301))+~P1(f2(x301,x302))
% 1.13/1.31 [31]P1(f3(x311))+~P1(f2(x311,x312))
% 1.13/1.31 [21]~E(x211,x212)+~P1(x211)+P2(x211,x212)
% 1.13/1.31 [26]E(x261,x262)+E(f6(x261,x262),x262)+E(f6(x261,x262),x261)
% 1.13/1.31 [32]~E(f3(x322),f1(x321))+~P1(f1(x321))+P1(f2(x321,x322))
% 1.13/1.31 %EqnAxiom
% 1.13/1.31 [1]E(x11,x11)
% 1.13/1.31 [2]E(x22,x21)+~E(x21,x22)
% 1.13/1.31 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.13/1.31 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 1.13/1.31 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 1.13/1.31 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 1.13/1.31 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 1.13/1.31 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 1.13/1.31 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 1.13/1.31 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 1.13/1.31 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 1.13/1.31 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 1.13/1.31
% 1.13/1.31 %-------------------------------------------
% 1.13/1.32 cnf(33,plain,
% 1.13/1.32 (E(x331,f2(x331,f1(x331)))),
% 1.13/1.32 inference(scs_inference,[],[13,2])).
% 1.13/1.32 cnf(34,plain,
% 1.13/1.32 (~P2(f3(a4),a5)),
% 1.13/1.32 inference(scs_inference,[],[17,13,2,20])).
% 1.13/1.32 cnf(36,plain,
% 1.13/1.32 (E(f2(a5,a4),a4)),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,2,20,29])).
% 1.13/1.32 cnf(38,plain,
% 1.13/1.32 (E(f3(a4),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,2,20,29,27])).
% 1.13/1.32 cnf(40,plain,
% 1.13/1.32 (P1(f2(f2(a5,a4),f1(f2(a5,a4))))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,2,20,29,27,10])).
% 1.13/1.32 cnf(41,plain,
% 1.13/1.32 (~E(f3(a4),f2(f3(a5),a5))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,2,20,29,27,10,3])).
% 1.13/1.32 cnf(42,plain,
% 1.13/1.32 (E(f2(f3(x421),x421),x421)),
% 1.13/1.32 inference(rename_variables,[],[14])).
% 1.13/1.32 cnf(43,plain,
% 1.13/1.32 (P2(f2(a5,a4),f2(f2(a5,a4),f1(f2(a5,a4))))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,2,20,29,27,10,3,21])).
% 1.13/1.32 cnf(45,plain,
% 1.13/1.32 (E(f6(x451,f2(f3(x452),x452)),f6(x451,x452))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9])).
% 1.13/1.32 cnf(46,plain,
% 1.13/1.32 (E(f6(f2(f3(x461),x461),x462),f6(x461,x462))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9,8])).
% 1.13/1.32 cnf(47,plain,
% 1.13/1.32 (E(f3(f2(f3(x471),x471)),f3(x471))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9,8,7])).
% 1.13/1.32 cnf(48,plain,
% 1.13/1.32 (E(f2(x481,f2(f3(x482),x482)),f2(x481,x482))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9,8,7,6])).
% 1.13/1.32 cnf(49,plain,
% 1.13/1.32 (E(f2(f2(f3(x491),x491),x492),f2(x491,x492))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9,8,7,6,5])).
% 1.13/1.32 cnf(50,plain,
% 1.13/1.32 (E(f1(f2(f3(x501),x501)),f1(x501))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9,8,7,6,5,4])).
% 1.13/1.32 cnf(51,plain,
% 1.13/1.32 (P1(f3(a5))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9,8,7,6,5,4,31])).
% 1.13/1.32 cnf(53,plain,
% 1.13/1.32 (P1(f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9,8,7,6,5,4,31,30])).
% 1.13/1.32 cnf(58,plain,
% 1.13/1.32 (~P2(x581,a5)+~E(x581,f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9,8,7,6,5,4,31,30,25,12,11])).
% 1.13/1.32 cnf(59,plain,
% 1.13/1.32 (P1(a5)),
% 1.13/1.32 inference(scs_inference,[],[17,15,13,14,42,2,20,29,27,10,3,21,9,8,7,6,5,4,31,30,25,12,11,19])).
% 1.13/1.32 cnf(64,plain,
% 1.13/1.32 (P2(f2(a5,a4),f2(a5,a4))),
% 1.13/1.32 inference(scs_inference,[],[13,43,12])).
% 1.13/1.32 cnf(66,plain,
% 1.13/1.32 (P1(f2(f3(a5),f1(f3(a5))))),
% 1.13/1.32 inference(scs_inference,[],[13,33,43,51,12,10])).
% 1.13/1.32 cnf(67,plain,
% 1.13/1.32 (E(x671,f2(x671,f1(x671)))),
% 1.13/1.32 inference(rename_variables,[],[33])).
% 1.13/1.32 cnf(68,plain,
% 1.13/1.32 (~E(f2(f3(a4),f1(f3(a4))),a5)),
% 1.13/1.32 inference(scs_inference,[],[17,13,33,67,43,51,12,10,3])).
% 1.13/1.32 cnf(70,plain,
% 1.13/1.32 (~E(a5,f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[17,13,33,67,43,51,12,10,3,2])).
% 1.13/1.32 cnf(78,plain,
% 1.13/1.32 (E(f2(x781,f2(x782,x783)),f2(f2(x781,x782),x783))),
% 1.13/1.32 inference(scs_inference,[],[16,2])).
% 1.13/1.32 cnf(79,plain,
% 1.13/1.32 (E(f2(f2(f3(x791),x791),f1(x791)),x791)),
% 1.13/1.32 inference(scs_inference,[],[13,16,49,2,3])).
% 1.13/1.32 cnf(89,plain,
% 1.13/1.32 (E(f2(x891,f1(x891)),x891)),
% 1.13/1.32 inference(rename_variables,[],[13])).
% 1.13/1.32 cnf(91,plain,
% 1.13/1.32 (P2(f3(a5),f3(a5))),
% 1.13/1.32 inference(scs_inference,[],[13,89,66,21,11])).
% 1.13/1.32 cnf(92,plain,
% 1.13/1.32 (E(f2(x921,f1(x921)),x921)),
% 1.13/1.32 inference(rename_variables,[],[13])).
% 1.13/1.32 cnf(93,plain,
% 1.13/1.32 (~E(a5,f3(f2(f3(a4),a4)))),
% 1.13/1.32 inference(scs_inference,[],[13,89,47,66,70,21,11,3])).
% 1.13/1.32 cnf(95,plain,
% 1.13/1.32 (~P2(f3(a4),f2(a5,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[13,89,92,47,66,70,34,21,11,3,12])).
% 1.13/1.32 cnf(97,plain,
% 1.13/1.32 (~E(f2(f3(a5),a5),f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[13,89,92,47,66,41,70,34,21,11,3,12,2])).
% 1.13/1.32 cnf(98,plain,
% 1.13/1.32 (P2(f2(a5,a4),a4)),
% 1.13/1.32 inference(scs_inference,[],[15,36,21])).
% 1.13/1.32 cnf(100,plain,
% 1.13/1.32 (~P2(f2(f3(f3(a4)),f3(a4)),f2(a5,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[14,15,95,36,21,11])).
% 1.13/1.32 cnf(101,plain,
% 1.13/1.32 (E(f2(f3(x1011),x1011),x1011)),
% 1.13/1.32 inference(rename_variables,[],[14])).
% 1.13/1.32 cnf(102,plain,
% 1.13/1.32 (~P2(f3(a4),f2(f2(f3(a5),a5),f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[14,34,15,79,95,36,21,11,12])).
% 1.13/1.32 cnf(104,plain,
% 1.13/1.32 (~E(f2(a5,f1(a5)),f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[14,33,34,15,79,95,36,70,21,11,12,3])).
% 1.13/1.32 cnf(105,plain,
% 1.13/1.32 (E(x1051,f2(x1051,f1(x1051)))),
% 1.13/1.32 inference(rename_variables,[],[33])).
% 1.13/1.32 cnf(106,plain,
% 1.13/1.32 (E(x1061,f2(f3(x1061),x1061))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,34,15,79,95,36,70,21,11,12,3,2])).
% 1.13/1.32 cnf(107,plain,
% 1.13/1.32 (P1(f3(f2(a5,a4)))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,34,15,79,95,36,40,70,21,11,12,3,2,31])).
% 1.13/1.32 cnf(111,plain,
% 1.13/1.32 (P1(a4)),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,34,15,79,97,95,36,40,70,21,11,12,3,2,31,20,22])).
% 1.13/1.32 cnf(113,plain,
% 1.13/1.32 (E(f6(x1131,x1132),f6(f2(x1131,f1(x1131)),x1132))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,105,34,15,79,97,95,36,40,70,21,11,12,3,2,31,20,22,8])).
% 1.13/1.32 cnf(114,plain,
% 1.13/1.32 (E(f2(x1141,x1142),f2(x1141,f2(x1142,f1(x1142))))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,105,34,15,79,97,95,36,40,70,21,11,12,3,2,31,20,22,8,6])).
% 1.13/1.32 cnf(115,plain,
% 1.13/1.32 (P1(f6(f2(f3(a5),a5),f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,105,34,15,79,97,95,36,40,70,21,11,12,3,2,31,20,22,8,6,25])).
% 1.13/1.32 cnf(117,plain,
% 1.13/1.32 (P1(f1(f2(a5,a4)))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,105,34,15,79,97,95,36,40,70,21,11,12,3,2,31,20,22,8,6,25,30])).
% 1.13/1.32 cnf(119,plain,
% 1.13/1.32 (E(f6(x1191,x1192),f6(x1191,f2(x1192,f1(x1192))))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,105,34,15,79,97,95,36,40,70,21,11,12,3,2,31,20,22,8,6,25,30,9])).
% 1.13/1.32 cnf(120,plain,
% 1.13/1.32 (E(f3(x1201),f3(f2(x1201,f1(x1201))))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,105,34,15,79,97,95,36,40,70,21,11,12,3,2,31,20,22,8,6,25,30,9,7])).
% 1.13/1.32 cnf(121,plain,
% 1.13/1.32 (E(f2(x1211,x1212),f2(f2(x1211,f1(x1211)),x1212))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,105,34,15,79,97,95,36,40,70,21,11,12,3,2,31,20,22,8,6,25,30,9,7,5])).
% 1.13/1.32 cnf(122,plain,
% 1.13/1.32 (E(f1(x1221),f1(f2(x1221,f1(x1221))))),
% 1.13/1.32 inference(scs_inference,[],[14,101,33,105,34,15,79,97,95,36,40,70,21,11,12,3,2,31,20,22,8,6,25,30,9,7,5,4])).
% 1.13/1.32 cnf(125,plain,
% 1.13/1.32 (~E(f3(a4),f2(a5,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[120,104,91,11,2])).
% 1.13/1.32 cnf(126,plain,
% 1.13/1.32 (E(f2(f3(x1261),f2(f3(x1261),x1261)),x1261)),
% 1.13/1.32 inference(scs_inference,[],[14,120,48,104,91,11,2,3])).
% 1.13/1.32 cnf(134,plain,
% 1.13/1.32 (~P2(f3(f2(f3(a4),a4)),a5)),
% 1.13/1.32 inference(scs_inference,[],[14,33,120,48,117,104,91,47,11,2,3,12,32,23,58])).
% 1.13/1.32 cnf(138,plain,
% 1.13/1.32 (P1(f2(f3(f2(a5,a4)),f2(a5,a4)))),
% 1.13/1.32 inference(scs_inference,[],[14,33,15,106,120,48,117,104,91,47,11,2,3,12,32,23,58,20,10])).
% 1.13/1.32 cnf(146,plain,
% 1.13/1.32 (~P2(a5,f3(f2(f3(a4),a4)))),
% 1.13/1.32 inference(scs_inference,[],[93,20])).
% 1.13/1.32 cnf(148,plain,
% 1.13/1.32 (P1(f2(a5,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[33,93,59,20,10])).
% 1.13/1.32 cnf(149,plain,
% 1.13/1.32 (E(x1491,f2(x1491,f1(x1491)))),
% 1.13/1.32 inference(rename_variables,[],[33])).
% 1.13/1.32 cnf(150,plain,
% 1.13/1.32 (P2(a5,f2(a5,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[33,149,93,59,20,10,21])).
% 1.13/1.32 cnf(153,plain,
% 1.13/1.32 (P2(a4,a4)),
% 1.13/1.32 inference(scs_inference,[],[36,33,149,93,59,98,20,10,21,11])).
% 1.13/1.32 cnf(154,plain,
% 1.13/1.32 (E(a4,f2(a5,a4))),
% 1.13/1.32 inference(scs_inference,[],[36,33,149,93,59,98,20,10,21,11,2])).
% 1.13/1.32 cnf(155,plain,
% 1.13/1.32 (~P2(f3(a4),f2(f3(a5),f2(f3(a5),a5)))),
% 1.13/1.32 inference(scs_inference,[],[36,33,149,34,126,93,59,98,20,10,21,11,2,12])).
% 1.13/1.32 cnf(157,plain,
% 1.13/1.32 (E(f2(f2(x1571,x1572),x1573),f2(f2(x1571,f1(x1571)),f2(x1572,x1573)))),
% 1.13/1.32 inference(scs_inference,[],[36,16,33,149,34,126,121,93,59,98,20,10,21,11,2,12,3])).
% 1.13/1.32 cnf(159,plain,
% 1.13/1.32 (E(f2(a5,f1(a5)),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[36,16,33,149,34,126,121,93,59,98,20,10,21,11,2,12,3,29])).
% 1.13/1.32 cnf(161,plain,
% 1.13/1.32 (P2(f1(a5),f1(f2(a5,f1(a5))))),
% 1.13/1.32 inference(scs_inference,[],[122,53,21])).
% 1.13/1.32 cnf(165,plain,
% 1.13/1.32 (~P2(f3(a4),f2(f3(a5),f2(a5,f1(a5))))),
% 1.13/1.32 inference(scs_inference,[],[122,78,68,102,53,21,2,12])).
% 1.13/1.32 cnf(167,plain,
% 1.13/1.32 (P2(a4,f2(a5,a4))),
% 1.13/1.32 inference(scs_inference,[],[36,122,78,68,102,53,64,21,2,12,11])).
% 1.13/1.32 cnf(168,plain,
% 1.13/1.32 (E(f2(a5,a4),f2(a4,f1(a4)))),
% 1.13/1.32 inference(scs_inference,[],[36,33,122,78,68,102,53,64,21,2,12,11,3])).
% 1.13/1.32 cnf(175,plain,
% 1.13/1.32 (~E(a5,f2(f3(f3(a4)),f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[161,150,100,22,11])).
% 1.13/1.32 cnf(176,plain,
% 1.13/1.32 (E(f1(a5),f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[38,161,150,100,22,11,2])).
% 1.13/1.32 cnf(179,plain,
% 1.13/1.32 (~E(f3(a4),f2(f2(f3(a5),a5),f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[38,33,161,167,150,79,100,17,22,11,2,12,3])).
% 1.13/1.32 cnf(183,plain,
% 1.13/1.32 (P1(f6(f3(a4),f2(a5,f1(a5))))),
% 1.13/1.32 inference(scs_inference,[],[38,33,138,161,125,167,150,79,100,17,22,11,2,12,3,31,25])).
% 1.13/1.32 cnf(185,plain,
% 1.13/1.32 (E(f6(f3(a4),x1851),f6(f1(a5),x1851))),
% 1.13/1.32 inference(scs_inference,[],[38,33,138,161,125,167,150,79,100,17,22,11,2,12,3,31,25,8])).
% 1.13/1.32 cnf(188,plain,
% 1.13/1.32 (E(f3(f3(a4)),f3(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[38,33,138,161,125,167,150,79,100,17,22,11,2,12,3,31,25,8,30,7])).
% 1.13/1.32 cnf(189,plain,
% 1.13/1.32 (E(f2(x1891,f3(a4)),f2(x1891,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[38,33,138,161,125,167,150,79,100,17,22,11,2,12,3,31,25,8,30,7,6])).
% 1.13/1.32 cnf(190,plain,
% 1.13/1.32 (E(f6(x1901,f3(a4)),f6(x1901,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[38,33,138,161,125,167,150,79,100,17,22,11,2,12,3,31,25,8,30,7,6,9])).
% 1.13/1.32 cnf(191,plain,
% 1.13/1.32 (E(f2(f3(a4),x1911),f2(f1(a5),x1911))),
% 1.13/1.32 inference(scs_inference,[],[38,33,138,161,125,167,150,79,100,17,22,11,2,12,3,31,25,8,30,7,6,9,5])).
% 1.13/1.32 cnf(192,plain,
% 1.13/1.32 (E(f1(f3(a4)),f1(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[38,33,138,161,125,167,150,79,100,17,22,11,2,12,3,31,25,8,30,7,6,9,5,4])).
% 1.13/1.32 cnf(193,plain,
% 1.13/1.32 (E(a4,f2(f2(a5,a4),f1(f2(a5,a4))))),
% 1.13/1.32 inference(scs_inference,[],[38,33,138,161,125,167,150,79,100,17,22,11,2,12,3,31,25,8,30,7,6,9,5,4,20])).
% 1.13/1.32 cnf(195,plain,
% 1.13/1.32 (~P1(f3(a4))+~E(f3(a4),f2(f3(a5),f2(a5,f1(a5))))),
% 1.13/1.32 inference(scs_inference,[],[38,33,138,161,125,165,167,150,79,100,17,22,11,2,12,3,31,25,8,30,7,6,9,5,4,20,21])).
% 1.13/1.32 cnf(199,plain,
% 1.13/1.32 (~P2(a5,f2(f3(f3(a4)),f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[175,20])).
% 1.13/1.32 cnf(201,plain,
% 1.13/1.32 (P2(a4,f2(a4,f1(a4)))),
% 1.13/1.32 inference(scs_inference,[],[33,175,111,20,21])).
% 1.13/1.32 cnf(202,plain,
% 1.13/1.32 (E(x2021,f2(x2021,f1(x2021)))),
% 1.13/1.32 inference(rename_variables,[],[33])).
% 1.13/1.32 cnf(204,plain,
% 1.13/1.32 (P2(f2(a4,f1(a4)),a4)),
% 1.13/1.32 inference(scs_inference,[],[33,202,175,111,153,20,21,11])).
% 1.13/1.32 cnf(206,plain,
% 1.13/1.32 (~E(f2(f2(f3(a5),a5),f1(a5)),f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[33,202,179,175,111,153,20,21,11,2])).
% 1.13/1.32 cnf(207,plain,
% 1.13/1.32 (~P2(f3(a4),f2(f2(f3(a5),f3(a5)),a5))),
% 1.13/1.32 inference(scs_inference,[],[16,33,202,179,155,175,111,153,20,21,11,2,12])).
% 1.13/1.32 cnf(212,plain,
% 1.13/1.32 (E(f3(f1(a5)),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[16,33,202,148,189,191,179,155,175,111,153,20,21,11,2,12,3,27])).
% 1.13/1.32 cnf(214,plain,
% 1.13/1.32 (~P2(f1(a5),a5)),
% 1.13/1.32 inference(scs_inference,[],[16,33,202,148,189,191,179,155,176,175,111,153,20,21,11,2,12,3,27,58])).
% 1.13/1.32 cnf(215,plain,
% 1.13/1.32 (P1(f2(a4,f1(a4)))),
% 1.13/1.32 inference(scs_inference,[],[204,23])).
% 1.13/1.32 cnf(217,plain,
% 1.13/1.32 (P2(f6(f2(f3(a5),a5),f3(a4)),f6(a5,f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,115,204,23,21])).
% 1.13/1.32 cnf(221,plain,
% 1.13/1.32 (E(f1(f2(f3(x2211),x2211)),f1(x2211))),
% 1.13/1.32 inference(rename_variables,[],[50])).
% 1.13/1.32 cnf(222,plain,
% 1.13/1.32 (E(f1(x2221),f1(f2(f3(x2221),x2221)))),
% 1.13/1.32 inference(scs_inference,[],[50,221,46,115,214,204,23,21,11,2])).
% 1.13/1.32 cnf(223,plain,
% 1.13/1.32 (P2(f2(a4,f1(a4)),f2(a5,a4))),
% 1.13/1.32 inference(scs_inference,[],[50,221,46,154,115,214,204,23,21,11,2,12])).
% 1.13/1.32 cnf(224,plain,
% 1.13/1.32 (~E(f1(a5),f2(f3(a5),a5))),
% 1.13/1.32 inference(scs_inference,[],[38,50,221,46,154,115,214,204,41,23,21,11,2,12,3])).
% 1.13/1.32 cnf(226,plain,
% 1.13/1.32 (E(f2(a4,f1(a4)),f2(a5,a4))),
% 1.13/1.32 inference(scs_inference,[],[38,50,221,46,154,115,214,204,41,23,21,11,2,12,3,10,20])).
% 1.13/1.32 cnf(231,plain,
% 1.13/1.32 (P1(f2(f1(a5),f1(f1(a5))))),
% 1.13/1.32 inference(scs_inference,[],[33,53,10])).
% 1.13/1.32 cnf(233,plain,
% 1.13/1.32 (~P2(f1(a5),f2(f3(a5),a5))),
% 1.13/1.32 inference(scs_inference,[],[33,224,53,10,20])).
% 1.13/1.32 cnf(235,plain,
% 1.13/1.32 (~E(f1(a5),a5)),
% 1.13/1.32 inference(scs_inference,[],[33,224,214,53,10,20,21])).
% 1.13/1.32 cnf(237,plain,
% 1.13/1.32 (~E(f2(f3(a5),a5),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[33,224,214,53,10,20,21,2])).
% 1.13/1.32 cnf(239,plain,
% 1.13/1.32 (~E(f3(a4),f2(f3(a5),f2(f3(a5),a5)))),
% 1.13/1.32 inference(scs_inference,[],[33,224,126,214,161,53,17,10,20,21,2,12,3])).
% 1.13/1.32 cnf(242,plain,
% 1.13/1.32 (E(x2421,f2(f3(x2421),x2421))),
% 1.13/1.32 inference(rename_variables,[],[106])).
% 1.13/1.32 cnf(244,plain,
% 1.13/1.32 (P2(f2(f2(a5,a4),f1(f2(a5,a4))),a4)),
% 1.13/1.32 inference(scs_inference,[],[193,106,153,51,21,11])).
% 1.13/1.32 cnf(245,plain,
% 1.13/1.32 (E(f6(x2451,x2452),f6(x2451,f2(f3(x2452),x2452)))),
% 1.13/1.32 inference(scs_inference,[],[45,193,106,153,51,21,11,2])).
% 1.13/1.32 cnf(246,plain,
% 1.13/1.32 (~P2(a5,f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[45,193,199,106,242,153,51,21,11,2,12])).
% 1.13/1.32 cnf(250,plain,
% 1.13/1.32 (P1(f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[38,222,45,215,193,199,106,242,153,51,21,11,2,12,3,31])).
% 1.13/1.32 cnf(254,plain,
% 1.13/1.32 (P1(f1(a4))),
% 1.13/1.32 inference(scs_inference,[],[41,38,222,45,215,193,199,106,242,153,51,21,11,2,12,3,31,25,30])).
% 1.13/1.32 cnf(256,plain,
% 1.13/1.32 (P1(f6(a5,f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[41,38,222,45,215,193,217,199,106,242,153,51,21,11,2,12,3,31,25,30,22])).
% 1.13/1.32 cnf(258,plain,
% 1.13/1.32 (E(f6(f2(a5,a4),x2581),f6(a4,x2581))),
% 1.13/1.32 inference(scs_inference,[],[41,36,38,222,45,215,193,217,199,106,242,153,51,21,11,2,12,3,31,25,30,22,8])).
% 1.13/1.32 cnf(260,plain,
% 1.13/1.32 (E(f3(f2(a5,a4)),f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[41,36,38,222,45,215,193,217,199,106,242,153,51,21,11,2,12,3,31,25,30,22,8,6,7])).
% 1.13/1.32 cnf(263,plain,
% 1.13/1.32 (E(f2(f2(a5,a4),x2631),f2(a4,x2631))),
% 1.13/1.32 inference(scs_inference,[],[41,36,38,222,45,215,193,217,199,106,242,153,51,21,11,2,12,3,31,25,30,22,8,6,7,4,9,5])).
% 1.13/1.32 cnf(271,plain,
% 1.13/1.32 (~E(f3(a4),f2(f3(a5),f2(a5,f1(a5))))),
% 1.13/1.32 inference(scs_inference,[],[250,195])).
% 1.13/1.32 cnf(274,plain,
% 1.13/1.32 (~P2(f2(f3(a5),a5),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[237,215,27,20])).
% 1.13/1.32 cnf(276,plain,
% 1.13/1.32 (P2(f3(a4),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[38,237,250,215,27,20,21])).
% 1.13/1.32 cnf(278,plain,
% 1.13/1.32 (~P2(f3(f2(a5,a4)),a5)),
% 1.13/1.32 inference(scs_inference,[],[34,38,237,260,250,215,27,20,21,11])).
% 1.13/1.32 cnf(279,plain,
% 1.13/1.32 (~E(f2(f3(a5),f2(a5,f1(a5))),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[34,38,114,237,260,250,215,27,20,21,11,3])).
% 1.13/1.32 cnf(281,plain,
% 1.13/1.32 (P2(a5,f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[34,38,114,159,237,260,250,150,215,27,20,21,11,3,12])).
% 1.13/1.32 cnf(282,plain,
% 1.13/1.32 (~E(f2(f3(a5),f2(f3(a5),a5)),f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[34,38,114,159,239,237,260,250,150,215,27,20,21,11,3,12,2])).
% 1.13/1.32 cnf(285,plain,
% 1.13/1.32 (E(a5,f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[281,20])).
% 1.13/1.32 cnf(287,plain,
% 1.13/1.32 (~E(f3(f2(a5,a4)),a5)),
% 1.13/1.32 inference(scs_inference,[],[278,281,107,20,21])).
% 1.13/1.32 cnf(290,plain,
% 1.13/1.32 (~E(f2(f3(a5),f2(f3(a5),a5)),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[38,282,278,276,281,107,176,20,21,11,3])).
% 1.13/1.32 cnf(299,plain,
% 1.13/1.32 (P2(f1(a4),f1(f2(a4,f1(a4))))),
% 1.13/1.32 inference(scs_inference,[],[290,254,122,20,21])).
% 1.13/1.32 cnf(302,plain,
% 1.13/1.32 (P2(f2(a5,a4),f2(a4,f1(a4)))),
% 1.13/1.32 inference(scs_inference,[],[290,254,201,122,154,20,21,11])).
% 1.13/1.32 cnf(303,plain,
% 1.13/1.32 (E(f3(f2(a5,a4)),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[38,290,254,201,122,154,260,20,21,11,3])).
% 1.13/1.32 cnf(304,plain,
% 1.13/1.32 (~P2(f1(a5),f2(f3(a5),f2(f3(a5),a5)))),
% 1.13/1.32 inference(scs_inference,[],[38,233,290,254,201,122,48,154,260,20,21,11,3,12])).
% 1.13/1.32 cnf(306,plain,
% 1.13/1.32 (~E(f2(f3(a5),f2(a5,f1(a5))),f3(a4))),
% 1.13/1.32 inference(scs_inference,[],[38,271,233,290,254,201,122,48,154,260,20,21,11,3,12,2])).
% 1.13/1.32 cnf(308,plain,
% 1.13/1.32 (P1(f1(f2(f3(a4),a4)))),
% 1.13/1.32 inference(scs_inference,[],[222,254,10])).
% 1.13/1.32 cnf(310,plain,
% 1.13/1.32 (P2(f6(a5,f3(a4)),f6(a5,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[190,256,222,254,10,21])).
% 1.13/1.32 cnf(318,plain,
% 1.13/1.32 (P2(f2(a4,f1(a4)),f2(a4,f1(a4)))),
% 1.13/1.32 inference(scs_inference,[],[45,168,190,258,256,246,223,222,254,79,10,21,11,3,12])).
% 1.13/1.32 cnf(320,plain,
% 1.13/1.32 (P1(f3(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,246,223,222,254,79,10,21,11,3,12,2,31])).
% 1.13/1.32 cnf(324,plain,
% 1.13/1.32 (P1(f1(f2(a4,f1(a4))))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,206,299,246,223,222,254,79,10,21,11,3,12,2,31,25,22])).
% 1.13/1.32 cnf(326,plain,
% 1.13/1.32 (P1(f1(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,206,299,246,223,222,254,79,10,21,11,3,12,2,31,25,22,30])).
% 1.13/1.32 cnf(328,plain,
% 1.13/1.32 (E(f2(x3281,a5),f2(x3281,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,206,299,246,285,223,222,254,79,10,21,11,3,12,2,31,25,22,30,6])).
% 1.13/1.32 cnf(329,plain,
% 1.13/1.32 (E(f6(a5,x3291),f6(f1(a5),x3291))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,206,299,246,285,223,222,254,79,10,21,11,3,12,2,31,25,22,30,6,8])).
% 1.13/1.32 cnf(331,plain,
% 1.13/1.32 (E(f3(a5),f3(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,206,299,246,285,223,222,254,79,10,21,11,3,12,2,31,25,22,30,6,8,9,7])).
% 1.13/1.32 cnf(332,plain,
% 1.13/1.32 (E(f1(a5),f1(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,206,299,246,285,223,222,254,79,10,21,11,3,12,2,31,25,22,30,6,8,9,7,4])).
% 1.13/1.32 cnf(333,plain,
% 1.13/1.32 (E(f2(a5,x3331),f2(f1(a5),x3331))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,206,299,246,285,223,222,254,79,10,21,11,3,12,2,31,25,22,30,6,8,9,7,4,5])).
% 1.13/1.32 cnf(334,plain,
% 1.13/1.32 (P1(f2(f3(a4),a4))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,206,299,246,285,223,222,254,79,10,21,11,3,12,2,31,25,22,30,6,8,9,7,4,5,18])).
% 1.13/1.32 cnf(336,plain,
% 1.13/1.32 (E(f3(a4),f1(f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[45,119,168,190,258,231,256,206,299,246,285,223,222,254,79,10,21,11,3,12,2,31,25,22,30,6,8,9,7,4,5,18,27])).
% 1.13/1.32 cnf(344,plain,
% 1.13/1.32 (P2(f2(a4,f1(a4)),f2(f1(a5),a4))),
% 1.13/1.32 inference(scs_inference,[],[328,333,304,279,179,223,53,20,21,3,12])).
% 1.13/1.32 cnf(348,plain,
% 1.13/1.32 (~E(f1(a5),f2(f3(a5),f2(a5,f1(a5))))),
% 1.13/1.32 inference(scs_inference,[],[263,328,333,304,279,244,179,223,53,20,21,3,12,11,2])).
% 1.13/1.32 cnf(349,plain,
% 1.13/1.32 (P1(f2(a4,f1(f2(a5,a4))))),
% 1.13/1.32 inference(scs_inference,[],[263,328,333,304,279,244,179,223,53,20,21,3,12,11,2,23])).
% 1.13/1.32 cnf(359,plain,
% 1.13/1.32 (E(f3(f1(f2(a5,a4))),f1(a4))),
% 1.13/1.32 inference(scs_inference,[],[349,303,53,32,27])).
% 1.13/1.32 cnf(365,plain,
% 1.13/1.32 (P2(f3(f1(a5)),f1(a5))),
% 1.13/1.32 inference(scs_inference,[],[349,183,185,344,303,212,320,53,32,27,10,20,21])).
% 1.13/1.32 cnf(368,plain,
% 1.13/1.32 (P2(f2(a5,a4),f2(f1(a5),a4))),
% 1.13/1.32 inference(scs_inference,[],[349,226,183,185,344,274,303,212,320,53,32,27,10,20,21,12,11])).
% 1.13/1.32 cnf(371,plain,
% 1.13/1.32 (E(f6(x3711,x3712),f6(f2(f3(x3711),x3711),x3712))),
% 1.13/1.32 inference(scs_inference,[],[46,349,226,183,185,344,274,303,212,320,49,53,32,27,10,20,21,12,11,3,2])).
% 1.13/1.32 cnf(374,plain,
% 1.13/1.32 (P1(f2(f3(a4),f2(a4,f1(a4))))),
% 1.13/1.32 inference(scs_inference,[],[334,306,114,20,10])).
% 1.13/1.32 cnf(376,plain,
% 1.13/1.32 (P2(f6(a5,f3(a4)),f6(f1(a5),f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[334,306,329,114,256,20,10,21])).
% 1.13/1.32 cnf(379,plain,
% 1.13/1.32 (P2(f6(a5,f3(a4)),f6(f2(f3(a5),a5),f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[371,334,306,329,310,114,256,20,10,21,12])).
% 1.13/1.32 cnf(386,plain,
% 1.13/1.32 (E(f6(a5,f3(a4)),f6(f2(f3(a5),a5),f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[379,20])).
% 1.13/1.32 cnf(390,plain,
% 1.13/1.32 (P2(f3(f1(a5)),f1(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[379,332,365,207,250,20,21,12])).
% 1.13/1.32 cnf(391,plain,
% 1.13/1.32 (P2(f6(a5,f3(a4)),f6(a5,f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,379,332,365,207,217,250,20,21,12,11])).
% 1.13/1.32 cnf(393,plain,
% 1.13/1.32 (E(f3(x3931),f3(f2(f3(x3931),x3931)))),
% 1.13/1.32 inference(scs_inference,[],[46,47,379,332,365,207,217,250,20,21,12,11,2])).
% 1.13/1.32 cnf(394,plain,
% 1.13/1.32 (~E(f3(f2(a5,a4)),f2(f2(f3(a5),a5),f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[46,47,379,332,365,287,207,217,250,79,20,21,12,11,2,3])).
% 1.13/1.32 cnf(396,plain,
% 1.13/1.32 (P1(f3(f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,47,374,379,332,365,287,207,217,250,79,20,21,12,11,2,3,31])).
% 1.13/1.32 cnf(400,plain,
% 1.13/1.32 (P1(f6(f2(f3(a5),a5),f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[46,47,374,379,332,365,287,207,217,250,79,20,21,12,11,2,3,31,25,22])).
% 1.13/1.32 cnf(402,plain,
% 1.13/1.32 (P1(f1(f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,47,374,379,332,365,287,207,217,250,79,20,21,12,11,2,3,31,25,22,30])).
% 1.13/1.32 cnf(404,plain,
% 1.13/1.32 (E(f2(x4041,a4),f2(x4041,f2(a5,a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,47,374,379,332,365,287,207,217,250,154,79,20,21,12,11,2,3,31,25,22,30,6])).
% 1.13/1.32 cnf(405,plain,
% 1.13/1.32 (E(f6(a4,x4051),f6(f2(a5,a4),x4051))),
% 1.13/1.32 inference(scs_inference,[],[46,47,374,379,332,365,287,207,217,250,154,79,20,21,12,11,2,3,31,25,22,30,6,8])).
% 1.13/1.32 cnf(408,plain,
% 1.13/1.32 (E(f1(a4),f1(f2(a5,a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,47,374,379,332,365,287,207,217,250,154,79,20,21,12,11,2,3,31,25,22,30,6,8,7,9,4])).
% 1.13/1.32 cnf(413,plain,
% 1.13/1.32 (P2(f6(f2(f3(a5),a5),f1(a5)),f6(a5,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[46,394,400,20,21])).
% 1.13/1.32 cnf(416,plain,
% 1.13/1.32 (P2(f2(a5,f2(a5,a4)),f2(a4,f1(a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,302,394,400,404,20,21,11])).
% 1.13/1.32 cnf(418,plain,
% 1.13/1.32 (~E(f2(f2(f3(a5),a5),f1(a5)),f3(f2(a5,a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,302,394,400,404,20,21,11,2])).
% 1.13/1.32 cnf(419,plain,
% 1.13/1.32 (~P2(f3(a4),f2(a5,f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,302,394,400,404,189,95,20,21,11,2,12])).
% 1.13/1.32 cnf(426,plain,
% 1.13/1.32 (E(f2(a5,f2(a5,a4)),f2(a4,f1(a4)))),
% 1.13/1.32 inference(scs_inference,[],[416,20])).
% 1.13/1.32 cnf(428,plain,
% 1.13/1.32 (P2(f3(a4),f1(f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[416,336,250,20,21])).
% 1.13/1.32 cnf(431,plain,
% 1.13/1.32 (P2(f3(a4),f1(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[48,416,336,192,250,20,21,2,12])).
% 1.13/1.32 cnf(440,plain,
% 1.13/1.32 (P1(f6(a5,f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[46,400,10])).
% 1.13/1.32 cnf(444,plain,
% 1.13/1.32 (~E(f3(a4),f2(a5,f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,418,419,400,250,10,20,21])).
% 1.13/1.32 cnf(446,plain,
% 1.13/1.32 (~E(f1(f3(a4)),f2(a5,f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[46,418,428,419,400,250,10,20,21,12])).
% 1.13/1.32 cnf(448,plain,
% 1.13/1.32 (E(f3(a4),f1(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[431,20])).
% 1.13/1.32 cnf(450,plain,
% 1.13/1.32 (P2(f1(f3(a4)),f1(f1(a5)))),
% 1.13/1.32 inference(scs_inference,[],[402,431,192,20,21])).
% 1.13/1.32 cnf(452,plain,
% 1.13/1.32 (~E(f1(f3(a4)),f2(f2(f3(a5),a5),f3(a4)))),
% 1.13/1.32 inference(scs_inference,[],[49,402,446,431,192,20,21,3])).
% 1.13/1.32 cnf(453,plain,
% 1.13/1.32 (E(f2(f2(f3(x4531),x4531),x4532),f2(x4531,x4532))),
% 1.13/1.32 inference(rename_variables,[],[49])).
% 1.13/1.32 cnf(455,plain,
% 1.13/1.32 (E(f2(f2(f3(x4551),x4551),x4552),f2(x4551,x4552))),
% 1.13/1.32 inference(rename_variables,[],[49])).
% 1.13/1.33 cnf(456,plain,
% 1.13/1.33 (E(f2(x4561,x4562),f2(f2(f3(x4561),x4561),x4562))),
% 1.13/1.33 inference(scs_inference,[],[49,453,455,402,446,431,192,419,20,21,3,12,2])).
% 1.13/1.33 cnf(465,plain,
% 1.13/1.33 (E(f2(x4651,f1(a5)),f2(x4651,f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[49,453,455,402,446,431,444,368,192,66,419,176,20,21,3,12,2,31,22,25,30,6])).
% 1.13/1.33 cnf(466,plain,
% 1.13/1.33 (E(f6(x4661,f1(a5)),f6(x4661,f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[49,453,455,402,446,431,444,368,192,66,419,176,20,21,3,12,2,31,22,25,30,6,9])).
% 1.13/1.33 cnf(467,plain,
% 1.13/1.33 (E(f6(f1(a5),x4671),f6(f3(a4),x4671))),
% 1.13/1.33 inference(scs_inference,[],[49,453,455,402,446,431,444,368,192,66,419,176,20,21,3,12,2,31,22,25,30,6,9,8])).
% 1.13/1.33 cnf(469,plain,
% 1.13/1.33 (E(f1(f1(a5)),f1(f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[49,453,455,402,446,431,444,368,192,66,419,176,20,21,3,12,2,31,22,25,30,6,9,8,7,4])).
% 1.13/1.33 cnf(470,plain,
% 1.13/1.33 (E(f2(f1(a5),x4701),f2(f3(a4),x4701))),
% 1.13/1.33 inference(scs_inference,[],[49,453,455,402,446,431,444,368,192,66,419,176,20,21,3,12,2,31,22,25,30,6,9,8,7,4,5])).
% 1.13/1.33 cnf(474,plain,
% 1.13/1.33 (~P2(f1(f3(a4)),f2(f2(f3(a5),a5),f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[452,20])).
% 1.13/1.33 cnf(476,plain,
% 1.13/1.33 (P2(f3(f3(a4)),f3(f1(a5)))),
% 1.13/1.33 inference(scs_inference,[],[188,452,396,20,21])).
% 1.13/1.33 cnf(478,plain,
% 1.13/1.33 (~P2(f1(f1(a5)),f2(f2(f3(a5),a5),f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[188,452,469,396,20,21,11])).
% 1.13/1.33 cnf(479,plain,
% 1.13/1.33 (P2(f2(a4,f1(a4)),f2(f2(f3(a4),a4),f1(a4)))),
% 1.13/1.33 inference(scs_inference,[],[456,188,452,469,396,318,20,21,11,12])).
% 1.13/1.33 cnf(484,plain,
% 1.13/1.33 (~E(f2(f2(f3(a5),a5),f3(a4)),f1(f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[48,456,188,452,469,396,318,263,20,21,11,12,3,2])).
% 1.13/1.33 cnf(485,plain,
% 1.13/1.33 (E(f3(f1(a5)),f1(f1(a5)))),
% 1.13/1.33 inference(scs_inference,[],[390,20])).
% 1.13/1.33 cnf(487,plain,
% 1.13/1.33 (~E(f1(f1(a5)),f2(f2(f3(a5),a5),f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[478,326,390,20,21])).
% 1.13/1.33 cnf(495,plain,
% 1.13/1.33 (P1(f2(f1(a5),f1(a5)))),
% 1.13/1.33 inference(scs_inference,[],[46,49,157,484,478,326,413,390,469,20,21,11,12,2,3,32])).
% 1.13/1.33 cnf(499,plain,
% 1.13/1.33 (P2(f1(f2(f3(a4),a4)),f1(a4))),
% 1.13/1.33 inference(scs_inference,[],[50,348,308,20,21])).
% 1.13/1.33 cnf(502,plain,
% 1.13/1.33 (P2(f6(f2(f3(a5),a5),f1(a5)),f6(a5,f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[50,386,348,391,308,20,21,11])).
% 1.13/1.33 cnf(505,plain,
% 1.13/1.33 (~P2(f1(f3(a4)),f2(f2(f3(a5),a5),f1(a5)))),
% 1.13/1.33 inference(scs_inference,[],[50,48,386,487,465,348,474,391,308,20,21,11,2,10,12])).
% 1.13/1.33 cnf(513,plain,
% 1.13/1.33 (P2(f6(a5,f1(a5)),f6(a5,f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[440,502,466,470,495,10,20,21])).
% 1.13/1.33 cnf(516,plain,
% 1.13/1.33 (~E(f3(a4),f2(f2(f3(a5),a5),f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[49,440,502,466,470,495,444,10,20,21,3])).
% 1.13/1.33 cnf(518,plain,
% 1.13/1.33 (~E(f1(f1(a5)),f2(f2(f3(a5),a5),f1(a5)))),
% 1.13/1.33 inference(scs_inference,[],[49,440,502,466,470,495,505,450,444,10,20,21,3,12])).
% 1.13/1.33 cnf(520,plain,
% 1.13/1.33 (P1(f2(f2(f3(a4),a4),f1(a4)))),
% 1.13/1.33 inference(scs_inference,[],[49,359,440,479,502,466,470,495,505,450,444,10,20,21,3,12,2,22])).
% 1.13/1.33 cnf(525,plain,
% 1.13/1.33 (E(f3(f2(x5251,f1(x5251))),f3(x5251))),
% 1.13/1.33 inference(scs_inference,[],[49,359,440,479,502,466,470,495,505,450,444,235,13,10,20,21,3,12,2,22,25,6,7])).
% 1.13/1.33 cnf(526,plain,
% 1.13/1.33 (E(f1(f2(x5261,f1(x5261))),f1(x5261))),
% 1.13/1.33 inference(scs_inference,[],[49,359,440,479,502,466,470,495,505,450,444,235,13,10,20,21,3,12,2,22,25,6,7,4])).
% 1.13/1.33 cnf(530,plain,
% 1.13/1.33 (P1(f3(f2(f3(a4),a4)))),
% 1.13/1.33 inference(scs_inference,[],[49,359,440,479,502,466,470,495,505,450,444,235,237,13,10,20,21,3,12,2,22,25,6,7,4,5,26,31])).
% 1.13/1.33 cnf(542,plain,
% 1.13/1.33 (P2(f1(a4),f1(a4))),
% 1.13/1.33 inference(scs_inference,[],[50,134,518,530,499,20,21,11])).
% 1.13/1.33 cnf(547,plain,
% 1.13/1.33 (P2(f3(f3(a4)),f1(f1(a5)))),
% 1.13/1.33 inference(scs_inference,[],[50,245,134,485,405,518,530,499,476,20,21,11,3,12])).
% 1.13/1.33 cnf(548,plain,
% 1.13/1.33 (~E(f2(f2(f3(a5),a5),f1(a5)),f1(f1(a5)))),
% 1.13/1.33 inference(scs_inference,[],[50,245,134,485,405,518,530,499,476,20,21,11,3,12,2])).
% 1.13/1.33 cnf(553,plain,
% 1.13/1.33 (~E(f2(a5,f1(a5)),f1(f1(a5)))),
% 1.13/1.33 inference(scs_inference,[],[51,49,548,547,331,20,21,3])).
% 1.13/1.33 cnf(556,plain,
% 1.13/1.33 (P2(f6(a5,f3(a4)),f6(f3(a4),f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[51,49,548,467,547,516,331,376,20,21,3,2,12])).
% 1.13/1.33 cnf(560,plain,
% 1.13/1.33 (~P2(f2(a5,f1(a5)),f1(f1(a5)))),
% 1.13/1.33 inference(scs_inference,[],[553,20])).
% 1.13/1.33 cnf(568,plain,
% 1.13/1.33 (~E(f1(a5),f3(f2(f3(a4),a4)))),
% 1.13/1.33 inference(scs_inference,[],[49,525,448,520,553,146,281,70,20,21,3,2,12])).
% 1.13/1.33 cnf(574,plain,
% 1.13/1.33 (E(f2(f2(f3(x5741),x5741),x5742),f2(x5741,x5742))),
% 1.13/1.33 inference(rename_variables,[],[49])).
% 1.13/1.33 cnf(578,plain,
% 1.13/1.33 (P2(f6(a5,f1(a5)),f6(f2(a5,f1(a5)),f3(a4)))),
% 1.13/1.33 inference(scs_inference,[],[49,574,513,426,560,556,568,113,505,402,20,21,11,3,2,12])).
% 1.13/1.33 cnf(614,plain,
% 1.13/1.33 ($false),
% 1.13/1.33 inference(scs_inference,[],[526,578,408,393,542,568,324,176,20,21,11,3]),
% 1.13/1.33 ['proof']).
% 1.13/1.33 % SZS output end Proof
% 1.13/1.33 % Total time :0.690000s
%------------------------------------------------------------------------------