TSTP Solution File: CAT009-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT009-3 : 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 : n028.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 18:13:42 EDT 2023
% Result : Unsatisfiable 1.74s 1.79s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT009-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 00:49:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.74/1.78 %-------------------------------------------
% 1.74/1.78 % File :CSE---1.6
% 1.74/1.78 % Problem :theBenchmark
% 1.74/1.78 % Transform :cnf
% 1.74/1.78 % Format :tptp:raw
% 1.74/1.78 % Command :java -jar mcs_scs.jar %d %s
% 1.74/1.78
% 1.74/1.78 % Result :Theorem 1.160000s
% 1.74/1.78 % Output :CNFRefutation 1.160000s
% 1.74/1.78 %-------------------------------------------
% 1.74/1.79 %--------------------------------------------------------------------------
% 1.74/1.79 % File : CAT009-3 : TPTP v8.1.2. Released v1.0.0.
% 1.74/1.79 % Domain : Category Theory
% 1.74/1.79 % Problem : If xy is defined, then domain(xy) = domain(y)
% 1.74/1.79 % Version : [Sco79] axioms : Reduced > Complete.
% 1.74/1.79 % English :
% 1.74/1.79
% 1.74/1.79 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 1.74/1.79 % Source : [ANL]
% 1.74/1.79 % Names : p9.ver3.in [ANL]
% 1.74/1.79
% 1.74/1.79 % Status : Unsatisfiable
% 1.74/1.79 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.29 v6.0.0, 0.30 v5.5.0, 0.45 v5.3.0, 0.44 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 0.27 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.25 v3.3.0, 0.36 v3.2.0, 0.38 v3.1.0, 0.36 v2.7.0, 0.42 v2.6.0, 0.40 v2.5.0, 0.42 v2.4.0, 0.22 v2.3.0, 0.33 v2.2.1, 0.44 v2.2.0, 0.67 v2.1.0, 0.78 v2.0.0
% 1.74/1.79 % Syntax : Number of clauses : 19 ( 5 unt; 2 nHn; 14 RR)
% 1.74/1.79 % Number of literals : 39 ( 16 equ; 18 neg)
% 1.74/1.79 % Maximal clause size : 4 ( 2 avg)
% 1.74/1.79 % Maximal term depth : 3 ( 1 avg)
% 1.74/1.79 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 1.74/1.79 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 1.74/1.79 % Number of variables : 31 ( 4 sgn)
% 1.74/1.79 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.74/1.79
% 1.74/1.79 % Comments : Axioms simplified by Art Quaife. The ANL version has been
% 1.74/1.79 % extended to use all axioms.
% 1.74/1.79 %--------------------------------------------------------------------------
% 1.74/1.79 %----Include Scott's axioms for category theory
% 1.74/1.79 include('Axioms/CAT003-0.ax').
% 1.74/1.79 %--------------------------------------------------------------------------
% 1.74/1.79 cnf(ab_exists,hypothesis,
% 1.74/1.79 there_exists(compose(a,b)) ).
% 1.74/1.79
% 1.74/1.79 cnf(prove_domain_of_ab_equals_domain_of_b,negated_conjecture,
% 1.74/1.79 domain(compose(a,b)) != domain(b) ).
% 1.74/1.79
% 1.74/1.79 %--------------------------------------------------------------------------
% 1.74/1.79 %-------------------------------------------
% 1.74/1.79 % Proof found
% 1.74/1.79 % SZS status Theorem for theBenchmark
% 1.74/1.79 % SZS output start Proof
% 1.74/1.79 %ClaNum:30(EqnAxiom:12)
% 1.74/1.79 %VarNum:58(SingletonVarNum:27)
% 1.74/1.79 %MaxLitNum:3
% 1.74/1.79 %MaxfuncDepth:2
% 1.74/1.79 %SharedTerms:7
% 1.74/1.79 %goalClause: 17
% 1.74/1.79 %singleGoalClaCount:1
% 1.74/1.79 [15]P1(f2(a4,a5))
% 1.74/1.79 [17]~E(f1(f2(a4,a5)),f1(a5))
% 1.74/1.79 [13]E(f2(x131,f1(x131)),x131)
% 1.74/1.79 [14]E(f2(f3(x141),x141),x141)
% 1.74/1.79 [16]E(f2(f2(x161,x162),x163),f2(x161,f2(x162,x163)))
% 1.74/1.79 [18]P1(x181)+~P1(f1(x181))
% 1.74/1.79 [19]P1(x191)+~P1(f3(x191))
% 1.74/1.79 [20]~P2(x201,x202)+E(x201,x202)
% 1.74/1.79 [22]P1(x221)+~P2(x222,x221)
% 1.74/1.79 [23]P1(x231)+~P2(x231,x232)
% 1.74/1.79 [25]E(x251,x252)+P1(f6(x251,x252))
% 1.74/1.79 [27]E(f3(x271),f1(x272))+~P1(f2(x272,x271))
% 1.74/1.79 [28]P1(f1(x281))+~P1(f2(x281,x282))
% 1.74/1.79 [29]P1(f3(x291))+~P1(f2(x291,x292))
% 1.74/1.79 [21]~E(x211,x212)+~P1(x211)+P2(x211,x212)
% 1.74/1.79 [26]E(x261,x262)+E(f6(x261,x262),x262)+E(f6(x261,x262),x261)
% 1.74/1.79 [30]~E(f3(x302),f1(x301))+~P1(f1(x301))+P1(f2(x301,x302))
% 1.74/1.79 %EqnAxiom
% 1.74/1.79 [1]E(x11,x11)
% 1.74/1.79 [2]E(x22,x21)+~E(x21,x22)
% 1.74/1.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.74/1.79 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 1.74/1.79 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 1.74/1.79 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 1.74/1.79 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 1.74/1.79 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 1.74/1.79 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 1.74/1.79 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 1.74/1.79 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 1.74/1.79 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 1.74/1.79
% 1.74/1.79 %-------------------------------------------
% 1.74/1.80 cnf(31,plain,
% 1.74/1.80 (E(x311,f2(x311,f1(x311)))),
% 1.74/1.80 inference(scs_inference,[],[13,2])).
% 1.74/1.80 cnf(34,plain,
% 1.74/1.80 (~E(f2(a4,a5),a5)),
% 1.74/1.80 inference(scs_inference,[],[17,13,2,20,4])).
% 1.74/1.80 cnf(35,plain,
% 1.74/1.80 (E(f3(a5),f1(a4))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,2,20,4,27])).
% 1.74/1.80 cnf(37,plain,
% 1.74/1.80 (P1(f2(f2(a4,a5),f1(f2(a4,a5))))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,2,20,4,27,10])).
% 1.74/1.80 cnf(38,plain,
% 1.74/1.80 (~E(f1(f2(a4,a5)),f2(f3(f1(a5)),f1(a5)))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,2,20,4,27,10,3])).
% 1.74/1.80 cnf(39,plain,
% 1.74/1.80 (E(f2(f3(x391),x391),x391)),
% 1.74/1.80 inference(rename_variables,[],[14])).
% 1.74/1.80 cnf(40,plain,
% 1.74/1.80 (P2(f2(a4,a5),f2(f2(a4,a5),f1(f2(a4,a5))))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,2,20,4,27,10,3,21])).
% 1.74/1.80 cnf(43,plain,
% 1.74/1.80 (E(f6(f2(f3(x431),x431),x432),f6(x431,x432))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,39,2,20,4,27,10,3,21,9,8])).
% 1.74/1.80 cnf(44,plain,
% 1.74/1.80 (E(f3(f2(f3(x441),x441)),f3(x441))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,39,2,20,4,27,10,3,21,9,8,7])).
% 1.74/1.80 cnf(45,plain,
% 1.74/1.80 (E(f2(x451,f2(f3(x452),x452)),f2(x451,x452))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,39,2,20,4,27,10,3,21,9,8,7,6])).
% 1.74/1.80 cnf(46,plain,
% 1.74/1.80 (E(f2(f2(f3(x461),x461),x462),f2(x461,x462))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,39,2,20,4,27,10,3,21,9,8,7,6,5])).
% 1.74/1.80 cnf(47,plain,
% 1.74/1.80 (P1(f3(a4))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,39,2,20,4,27,10,3,21,9,8,7,6,5,29])).
% 1.74/1.80 cnf(49,plain,
% 1.74/1.80 (P1(f1(a4))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,39,2,20,4,27,10,3,21,9,8,7,6,5,29,28])).
% 1.74/1.80 cnf(54,plain,
% 1.74/1.80 (~P2(x541,f1(a5))+~E(x541,f1(f2(a4,a5)))),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,39,2,20,4,27,10,3,21,9,8,7,6,5,29,28,25,12,11])).
% 1.74/1.80 cnf(55,plain,
% 1.74/1.80 (P1(a4)),
% 1.74/1.80 inference(scs_inference,[],[17,15,13,14,39,2,20,4,27,10,3,21,9,8,7,6,5,29,28,25,12,11,19])).
% 1.74/1.80 cnf(60,plain,
% 1.74/1.80 (~E(f1(a5),f1(f2(a4,a5)))),
% 1.74/1.80 inference(scs_inference,[],[17,2])).
% 1.74/1.80 cnf(61,plain,
% 1.74/1.80 (E(f1(f2(x611,f1(x611))),f1(x611))),
% 1.74/1.80 inference(scs_inference,[],[17,13,2,4])).
% 1.74/1.80 cnf(62,plain,
% 1.74/1.80 (P2(f2(a4,a5),f2(a4,a5))),
% 1.74/1.80 inference(scs_inference,[],[17,13,40,2,4,12])).
% 1.74/1.80 cnf(63,plain,
% 1.74/1.80 (E(f2(x631,f1(x631)),x631)),
% 1.74/1.80 inference(rename_variables,[],[13])).
% 1.74/1.80 cnf(64,plain,
% 1.74/1.80 (P1(f2(f3(a4),f1(f3(a4))))),
% 1.74/1.80 inference(scs_inference,[],[17,13,31,40,47,2,4,12,10])).
% 1.74/1.80 cnf(65,plain,
% 1.74/1.80 (E(x651,f2(x651,f1(x651)))),
% 1.74/1.80 inference(rename_variables,[],[31])).
% 1.74/1.80 cnf(66,plain,
% 1.74/1.80 (~E(f2(f2(a4,a5),f1(f2(a4,a5))),a5)),
% 1.74/1.80 inference(scs_inference,[],[17,13,31,65,40,47,34,2,4,12,10,3])).
% 1.74/1.80 cnf(71,plain,
% 1.74/1.80 (~P2(f3(f2(f3(x711),x711)),x712)+P2(f3(x711),x712)),
% 1.74/1.80 inference(scs_inference,[],[17,13,63,31,65,44,37,40,47,34,2,4,12,10,3,21,11])).
% 1.74/1.80 cnf(72,plain,
% 1.74/1.80 (E(f2(x721,f2(x722,x723)),f2(f2(x721,x722),x723))),
% 1.74/1.80 inference(scs_inference,[],[16,2])).
% 1.74/1.80 cnf(73,plain,
% 1.74/1.80 (~E(a5,f2(a4,a5))),
% 1.74/1.80 inference(scs_inference,[],[16,60,2,4])).
% 1.74/1.80 cnf(74,plain,
% 1.74/1.80 (E(f2(f2(f3(x741),x741),f1(x741)),x741)),
% 1.74/1.80 inference(scs_inference,[],[13,16,46,60,2,4,3])).
% 1.74/1.80 cnf(76,plain,
% 1.74/1.80 (~E(f2(f3(f1(a5)),f1(a5)),f1(f2(a4,a5)))),
% 1.74/1.80 inference(scs_inference,[],[38,2])).
% 1.74/1.80 cnf(77,plain,
% 1.74/1.80 (E(f2(f3(a5),f1(f3(a5))),f1(a4))),
% 1.74/1.80 inference(scs_inference,[],[13,38,35,2,3])).
% 1.74/1.80 cnf(79,plain,
% 1.74/1.80 (E(f1(x791),f1(f2(x791,f1(x791))))),
% 1.74/1.80 inference(scs_inference,[],[13,31,38,35,2,3,4])).
% 1.74/1.80 cnf(80,plain,
% 1.74/1.80 (E(x801,f2(f3(x801),x801))),
% 1.74/1.80 inference(scs_inference,[],[14,2])).
% 1.74/1.80 cnf(81,plain,
% 1.74/1.80 (~E(f2(a5,f1(a5)),f2(a4,a5))),
% 1.74/1.80 inference(scs_inference,[],[14,31,73,2,3])).
% 1.74/1.80 cnf(82,plain,
% 1.74/1.80 (E(x821,f2(x821,f1(x821)))),
% 1.74/1.80 inference(rename_variables,[],[31])).
% 1.74/1.80 cnf(83,plain,
% 1.74/1.80 (P1(f6(a5,f2(a4,a5)))),
% 1.74/1.80 inference(scs_inference,[],[14,31,73,2,3,25])).
% 1.74/1.80 cnf(85,plain,
% 1.74/1.80 (E(f6(x851,x852),f6(x851,f2(x852,f1(x852))))),
% 1.74/1.80 inference(scs_inference,[],[14,31,82,73,2,3,25,9])).
% 1.74/1.80 cnf(86,plain,
% 1.74/1.80 (E(f6(x861,x862),f6(f2(x861,f1(x861)),x862))),
% 1.74/1.80 inference(scs_inference,[],[14,31,82,73,2,3,25,9,8])).
% 1.74/1.80 cnf(87,plain,
% 1.74/1.80 (E(f3(x871),f3(f2(x871,f1(x871))))),
% 1.74/1.80 inference(scs_inference,[],[14,31,82,73,2,3,25,9,8,7])).
% 1.74/1.80 cnf(90,plain,
% 1.74/1.80 (P1(f1(f3(a4)))),
% 1.74/1.80 inference(scs_inference,[],[14,31,82,64,73,2,3,25,9,8,7,29,28])).
% 1.74/1.80 cnf(92,plain,
% 1.74/1.80 (~P2(f2(f3(f1(a5)),f1(a5)),f1(f2(a4,a5)))),
% 1.74/1.80 inference(scs_inference,[],[14,31,82,76,64,73,2,3,25,9,8,7,29,28,20])).
% 1.74/1.80 cnf(94,plain,
% 1.74/1.80 (E(f2(x941,x942),f2(x941,f2(x942,f1(x942))))),
% 1.74/1.80 inference(scs_inference,[],[14,31,82,76,64,73,2,3,25,9,8,7,29,28,20,6])).
% 1.74/1.80 cnf(95,plain,
% 1.74/1.80 (E(f2(x951,x952),f2(f2(x951,f1(x951)),x952))),
% 1.74/1.80 inference(scs_inference,[],[14,31,82,76,64,73,2,3,25,9,8,7,29,28,20,6,5])).
% 1.74/1.80 cnf(96,plain,
% 1.74/1.80 (E(f1(f2(f3(x961),x961)),f1(x961))),
% 1.74/1.80 inference(scs_inference,[],[14,31,82,76,64,73,2,3,25,9,8,7,29,28,20,6,5,4])).
% 1.74/1.80 cnf(97,plain,
% 1.74/1.80 (~E(f2(a4,a5),f2(a5,f1(a5)))),
% 1.74/1.80 inference(scs_inference,[],[81,2])).
% 1.74/1.80 cnf(98,plain,
% 1.74/1.80 (E(f2(f3(x981),f2(f3(x981),x981)),x981)),
% 1.74/1.80 inference(scs_inference,[],[14,45,81,2,3])).
% 1.74/1.80 cnf(105,plain,
% 1.74/1.80 (P1(f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 1.74/1.80 inference(scs_inference,[],[14,31,15,80,45,81,90,49,2,3,30,21,10])).
% 1.74/1.80 cnf(107,plain,
% 1.74/1.80 (P1(f2(f1(a4),f1(f1(a4))))),
% 1.74/1.80 inference(scs_inference,[],[14,31,15,80,45,81,90,49,2,3,30,21,10,22])).
% 1.74/1.80 cnf(111,plain,
% 1.74/1.80 (~P2(x1111,f1(x1112))+P2(x1111,f1(f2(x1112,f1(x1112))))+~E(f3(x1113),f1(f3(a4)))),
% 1.74/1.80 inference(scs_inference,[],[14,31,15,79,80,45,81,90,49,2,3,30,21,10,22,27,12])).
% 1.74/1.80 cnf(113,plain,
% 1.74/1.80 (P2(f2(a4,a5),f2(a4,f2(a5,f1(a5))))),
% 1.74/1.80 inference(scs_inference,[],[15,94,21])).
% 1.74/1.80 cnf(114,plain,
% 1.74/1.80 (E(f2(x1141,x1142),f2(x1141,f2(x1142,f1(x1142))))),
% 1.74/1.80 inference(rename_variables,[],[94])).
% 1.74/1.80 cnf(116,plain,
% 1.74/1.80 (P2(f2(a4,f2(a5,f1(a5))),f2(a4,a5))),
% 1.74/1.80 inference(scs_inference,[],[15,94,114,62,21,11])).
% 1.74/1.80 cnf(118,plain,
% 1.74/1.80 (P1(f2(a4,f1(a4)))),
% 1.74/1.80 inference(scs_inference,[],[15,31,94,114,55,62,21,11,10])).
% 1.74/1.80 cnf(120,plain,
% 1.74/1.80 (E(x1201,f2(f2(f3(x1201),x1201),f1(x1201)))),
% 1.74/1.80 inference(scs_inference,[],[15,31,74,94,114,55,62,21,11,10,2])).
% 1.74/1.80 cnf(121,plain,
% 1.74/1.80 (~E(f2(a4,a5),f2(f2(f3(a5),a5),f1(a5)))),
% 1.74/1.80 inference(scs_inference,[],[15,34,31,74,94,114,55,62,21,11,10,2,3])).
% 1.74/1.80 cnf(123,plain,
% 1.74/1.80 (E(f2(a4,f2(a5,f1(a5))),f2(a4,a5))),
% 1.74/1.80 inference(scs_inference,[],[15,34,31,74,94,114,55,62,21,11,10,2,3,20])).
% 1.74/1.80 cnf(125,plain,
% 1.74/1.80 (P1(f2(a4,f2(a5,f1(a5))))),
% 1.74/1.80 inference(scs_inference,[],[116,23])).
% 1.74/1.80 cnf(127,plain,
% 1.74/1.80 (~P2(f2(a4,a5),a5)),
% 1.74/1.80 inference(scs_inference,[],[34,116,23,20])).
% 1.74/1.80 cnf(129,plain,
% 1.74/1.80 (~E(f2(a4,f2(a5,f1(a5))),a5)),
% 1.74/1.80 inference(scs_inference,[],[34,116,113,23,20,12])).
% 1.74/1.80 cnf(130,plain,
% 1.74/1.80 (~E(f2(f2(f3(a5),a5),f1(a5)),f2(a4,a5))),
% 1.74/1.80 inference(scs_inference,[],[34,116,121,113,23,20,12,2])).
% 1.74/1.80 cnf(131,plain,
% 1.74/1.80 (~E(f2(f3(a5),f2(a5,f1(a5))),f2(a4,a5))),
% 1.74/1.80 inference(scs_inference,[],[16,34,116,121,113,23,20,12,2,3])).
% 1.74/1.80 cnf(136,plain,
% 1.74/1.80 (E(f1(a4),f3(a5))),
% 1.74/1.80 inference(scs_inference,[],[35,2])).
% 1.74/1.80 cnf(137,plain,
% 1.74/1.80 (E(f3(a5),f2(f1(a4),f1(f1(a4))))),
% 1.74/1.80 inference(scs_inference,[],[35,31,2,3])).
% 1.74/1.80 cnf(139,plain,
% 1.74/1.80 (P1(f6(f2(a4,a5),a5))),
% 1.74/1.80 inference(scs_inference,[],[35,34,31,2,3,25])).
% 1.74/1.80 cnf(141,plain,
% 1.74/1.80 (P1(f3(f1(a4)))),
% 1.74/1.80 inference(scs_inference,[],[35,34,31,107,2,3,25,29])).
% 1.74/1.80 cnf(143,plain,
% 1.74/1.80 (P1(f1(f1(a4)))),
% 1.74/1.80 inference(scs_inference,[],[35,34,31,107,2,3,25,29,28])).
% 1.74/1.80 cnf(146,plain,
% 1.74/1.80 (E(f6(x1461,f3(a5)),f6(x1461,f1(a4)))),
% 1.74/1.80 inference(scs_inference,[],[35,34,31,107,2,3,25,29,28,8,9])).
% 1.74/1.80 cnf(147,plain,
% 1.74/1.80 (E(f3(f3(a5)),f3(f1(a4)))),
% 1.74/1.80 inference(scs_inference,[],[35,34,31,107,2,3,25,29,28,8,9,7])).
% 1.74/1.80 cnf(148,plain,
% 1.74/1.80 (E(f2(x1481,f3(a5)),f2(x1481,f1(a4)))),
% 1.74/1.80 inference(scs_inference,[],[35,34,31,107,2,3,25,29,28,8,9,7,6])).
% 1.74/1.80 cnf(149,plain,
% 1.74/1.80 (E(f2(f3(a5),x1491),f2(f1(a4),x1491))),
% 1.74/1.80 inference(scs_inference,[],[35,34,31,107,2,3,25,29,28,8,9,7,6,5])).
% 1.74/1.80 cnf(150,plain,
% 1.74/1.80 (E(f1(f3(a5)),f1(f1(a4)))),
% 1.74/1.80 inference(scs_inference,[],[35,34,31,107,2,3,25,29,28,8,9,7,6,5,4])).
% 1.74/1.80 cnf(151,plain,
% 1.74/1.80 (~E(f2(a4,a5),f2(f3(a5),f2(a5,f1(a5))))),
% 1.74/1.80 inference(scs_inference,[],[131,2])).
% 1.74/1.80 cnf(152,plain,
% 1.74/1.80 (~E(f2(a4,a5),f2(f3(a5),f2(f3(a5),a5)))),
% 1.74/1.80 inference(scs_inference,[],[34,98,131,2,3])).
% 1.74/1.80 cnf(154,plain,
% 1.74/1.80 (E(f3(f2(a5,f1(a5))),f1(a4))),
% 1.74/1.80 inference(scs_inference,[],[34,98,125,131,2,3,27])).
% 1.74/1.80 cnf(158,plain,
% 1.74/1.80 (E(f3(f2(x1581,f1(x1581))),f3(x1581))),
% 1.74/1.80 inference(scs_inference,[],[87,151,20,2])).
% 1.74/1.80 cnf(159,plain,
% 1.74/1.80 (P2(a4,f2(a4,f1(a4)))),
% 1.74/1.80 inference(scs_inference,[],[31,87,151,55,20,2,21])).
% 1.74/1.80 cnf(168,plain,
% 1.74/1.81 (~P2(x1681,f3(a5))+~P1(f1(f2(x1682,f1(x1682))))+P2(x1681,f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[31,34,35,61,87,95,123,151,127,55,20,2,21,10,11,3,18,12])).
% 1.74/1.81 cnf(169,plain,
% 1.74/1.81 (P2(f1(a4),f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[136,49,21])).
% 1.74/1.81 cnf(171,plain,
% 1.74/1.81 (P2(f1(a4),f2(f3(a5),f1(f3(a5))))),
% 1.74/1.81 inference(scs_inference,[],[31,136,49,21,12])).
% 1.74/1.81 cnf(172,plain,
% 1.74/1.81 (E(x1721,f2(x1721,f1(x1721)))),
% 1.74/1.81 inference(rename_variables,[],[31])).
% 1.74/1.81 cnf(174,plain,
% 1.74/1.81 (E(x1741,f2(x1741,f1(x1741)))),
% 1.74/1.81 inference(rename_variables,[],[31])).
% 1.74/1.81 cnf(175,plain,
% 1.74/1.81 (~E(a5,f2(f2(a4,a5),f1(f2(a4,a5))))),
% 1.74/1.81 inference(scs_inference,[],[31,172,66,136,159,49,21,12,11,2])).
% 1.74/1.81 cnf(184,plain,
% 1.74/1.81 (P2(f1(a4),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[31,172,174,37,66,136,159,49,21,12,11,2,168,22,28,10])).
% 1.74/1.81 cnf(185,plain,
% 1.74/1.81 (P1(f2(f3(a5),f1(f3(a5))))),
% 1.74/1.81 inference(scs_inference,[],[171,22])).
% 1.74/1.81 cnf(189,plain,
% 1.74/1.81 (~P2(f2(a4,a5),f2(f3(a5),f2(f3(a5),a5)))),
% 1.74/1.81 inference(scs_inference,[],[37,152,171,22,28,20])).
% 1.74/1.81 cnf(191,plain,
% 1.74/1.81 (P2(f2(f2(f3(a4),a4),f1(a4)),f2(a4,f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[37,120,152,171,159,22,28,20,11])).
% 1.74/1.81 cnf(192,plain,
% 1.74/1.81 (E(x1921,f2(f2(f3(x1921),x1921),f1(x1921)))),
% 1.74/1.81 inference(rename_variables,[],[120])).
% 1.74/1.81 cnf(193,plain,
% 1.74/1.81 (P1(f2(f2(f3(a4),a4),f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[37,120,192,152,171,159,55,22,28,20,11,10])).
% 1.74/1.81 cnf(195,plain,
% 1.74/1.81 (E(f1(x1951),f1(f2(f3(x1951),x1951)))),
% 1.74/1.81 inference(scs_inference,[],[37,120,192,96,152,171,159,55,22,28,20,11,10,2])).
% 1.74/1.81 cnf(200,plain,
% 1.74/1.81 (E(f6(x2001,x2002),f6(x2001,f2(f3(x2002),x2002)))),
% 1.74/1.81 inference(scs_inference,[],[37,120,192,96,152,130,171,80,159,55,22,28,20,11,10,2,25,29,9])).
% 1.74/1.81 cnf(201,plain,
% 1.74/1.81 (E(f6(x2011,x2012),f6(f2(f3(x2011),x2011),x2012))),
% 1.74/1.81 inference(scs_inference,[],[37,120,192,96,152,130,171,80,159,55,22,28,20,11,10,2,25,29,9,8])).
% 1.74/1.81 cnf(202,plain,
% 1.74/1.81 (E(f3(x2021),f3(f2(f3(x2021),x2021)))),
% 1.74/1.81 inference(scs_inference,[],[37,120,192,96,152,130,171,80,159,55,22,28,20,11,10,2,25,29,9,8,7])).
% 1.74/1.81 cnf(203,plain,
% 1.74/1.81 (E(f2(x2031,x2032),f2(x2031,f2(f3(x2032),x2032)))),
% 1.74/1.81 inference(scs_inference,[],[37,120,192,96,152,130,171,80,159,55,22,28,20,11,10,2,25,29,9,8,7,6])).
% 1.74/1.81 cnf(204,plain,
% 1.74/1.81 (E(f2(x2041,x2042),f2(f2(f3(x2041),x2041),x2042))),
% 1.74/1.81 inference(scs_inference,[],[37,120,192,96,152,130,171,80,159,55,22,28,20,11,10,2,25,29,9,8,7,6,5])).
% 1.74/1.81 cnf(205,plain,
% 1.74/1.81 (E(f1(f1(a4)),f1(f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[37,120,192,96,152,130,171,80,136,159,55,22,28,20,11,10,2,25,29,9,8,7,6,5,4])).
% 1.74/1.81 cnf(210,plain,
% 1.74/1.81 (P2(f1(a4),f1(f2(a4,f1(a4))))),
% 1.74/1.81 inference(scs_inference,[],[37,120,192,96,184,152,130,171,143,80,136,159,64,55,22,28,20,11,10,2,25,29,9,8,7,6,5,4,111,27])).
% 1.74/1.81 cnf(211,plain,
% 1.74/1.81 (E(f3(f1(a4)),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[118,27])).
% 1.74/1.81 cnf(215,plain,
% 1.74/1.81 (~P2(f2(a4,a5),f2(f3(a5),a5))),
% 1.74/1.81 inference(scs_inference,[],[203,189,118,171,27,20,12])).
% 1.74/1.81 cnf(216,plain,
% 1.74/1.81 (E(f2(x2161,x2162),f2(x2161,f2(f3(x2162),x2162)))),
% 1.74/1.81 inference(rename_variables,[],[203])).
% 1.74/1.81 cnf(219,plain,
% 1.74/1.81 (~E(f2(a4,a5),f2(f3(a5),a5))),
% 1.74/1.81 inference(scs_inference,[],[85,203,216,189,139,118,152,171,27,20,12,10,3])).
% 1.74/1.81 cnf(222,plain,
% 1.74/1.81 (~E(a4,f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[85,203,216,189,139,129,118,152,171,27,20,12,10,3,2,5])).
% 1.74/1.81 cnf(232,plain,
% 1.74/1.81 (E(f2(f1(a4),x2321),f2(f3(a5),x2321))),
% 1.74/1.81 inference(scs_inference,[],[105,175,136,28,20,5])).
% 1.74/1.81 cnf(233,plain,
% 1.74/1.81 (P2(f1(a4),f3(f2(f3(a5),a5)))),
% 1.74/1.81 inference(scs_inference,[],[202,105,175,169,136,28,20,5,12])).
% 1.74/1.81 cnf(235,plain,
% 1.74/1.81 (P2(f1(f2(f3(a4),a4)),f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[195,202,105,175,169,136,28,20,5,12,11])).
% 1.74/1.81 cnf(236,plain,
% 1.74/1.81 (E(f1(x2361),f1(f2(f3(x2361),x2361)))),
% 1.74/1.81 inference(rename_variables,[],[195])).
% 1.74/1.81 cnf(237,plain,
% 1.74/1.81 (E(f3(a5),f1(f2(f3(a4),a4)))),
% 1.74/1.81 inference(scs_inference,[],[35,195,236,202,105,175,169,136,28,20,5,12,11,3])).
% 1.74/1.81 cnf(239,plain,
% 1.74/1.81 (E(f6(f2(x2391,f1(x2391)),x2392),f6(x2391,x2392))),
% 1.74/1.81 inference(scs_inference,[],[35,195,236,202,86,105,175,169,136,28,20,5,12,11,3,2])).
% 1.74/1.81 cnf(240,plain,
% 1.74/1.81 (P1(f1(f2(f3(a4),a4)))),
% 1.74/1.81 inference(scs_inference,[],[35,195,236,202,86,105,175,169,136,28,20,5,12,11,3,2,23])).
% 1.74/1.81 cnf(242,plain,
% 1.74/1.81 (P1(f2(f2(f3(a4),a4),a5))),
% 1.74/1.81 inference(scs_inference,[],[35,195,236,202,86,105,175,169,136,28,20,5,12,11,3,2,23,30])).
% 1.74/1.81 cnf(244,plain,
% 1.74/1.81 (P1(f6(f2(a5,f1(a5)),f2(a4,a5)))),
% 1.74/1.81 inference(scs_inference,[],[35,195,236,202,86,105,83,175,169,136,28,20,5,12,11,3,2,23,30,10])).
% 1.74/1.81 cnf(250,plain,
% 1.74/1.81 (P1(f2(f3(a4),a4))),
% 1.74/1.81 inference(scs_inference,[],[240,18])).
% 1.74/1.81 cnf(252,plain,
% 1.74/1.81 (E(f1(a4),f3(f2(f3(a5),a5)))),
% 1.74/1.81 inference(scs_inference,[],[240,233,18,20])).
% 1.74/1.81 cnf(255,plain,
% 1.74/1.81 (~E(f2(f2(f3(a4),a4),a5),a5)),
% 1.74/1.81 inference(scs_inference,[],[34,35,204,240,233,235,18,20,12,3])).
% 1.74/1.81 cnf(257,plain,
% 1.74/1.81 (~E(f2(f3(a5),a5),f2(a4,a5))),
% 1.74/1.81 inference(scs_inference,[],[34,35,204,219,240,233,235,18,20,12,3,2])).
% 1.74/1.81 cnf(258,plain,
% 1.74/1.81 (E(f3(a4),f1(f3(a4)))),
% 1.74/1.81 inference(scs_inference,[],[34,35,204,219,240,233,235,18,20,12,3,2,27])).
% 1.74/1.81 cnf(260,plain,
% 1.74/1.81 (P2(f3(f1(a4)),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[34,35,204,219,240,211,233,235,141,18,20,12,3,2,27,21])).
% 1.74/1.81 cnf(262,plain,
% 1.74/1.81 (~E(f3(a5),a4)),
% 1.74/1.81 inference(scs_inference,[],[34,35,204,219,240,211,233,235,141,18,20,12,3,2,27,21,5])).
% 1.74/1.81 cnf(263,plain,
% 1.74/1.81 (P2(x2631,f1(f2(x2632,f1(x2632))))+~P2(x2631,f1(x2632))),
% 1.74/1.81 inference(scs_inference,[],[258,111])).
% 1.74/1.81 cnf(268,plain,
% 1.74/1.81 (~E(x2681,x2682)+P2(x2681,x2682)+~P1(x2681)),
% 1.74/1.81 inference(rename_variables,[],[21])).
% 1.74/1.81 cnf(269,plain,
% 1.74/1.81 (~P2(f2(f3(a5),a5),f2(a4,a5))),
% 1.74/1.81 inference(scs_inference,[],[239,257,244,21,20])).
% 1.74/1.81 cnf(271,plain,
% 1.74/1.81 (E(f2(f2(x2711,f1(x2711)),x2712),f2(x2711,x2712))),
% 1.74/1.81 inference(scs_inference,[],[239,257,244,13,21,20,5])).
% 1.74/1.81 cnf(272,plain,
% 1.74/1.81 (~P2(f2(f1(a4),a5),f2(a4,a5))),
% 1.74/1.81 inference(scs_inference,[],[239,257,244,232,13,21,20,5,11])).
% 1.74/1.81 cnf(273,plain,
% 1.74/1.81 (E(f2(f1(a4),x2731),f2(f3(a5),x2731))),
% 1.74/1.81 inference(rename_variables,[],[232])).
% 1.74/1.81 cnf(274,plain,
% 1.74/1.81 (~P2(f2(a4,a5),f2(f1(a4),a5))),
% 1.74/1.81 inference(scs_inference,[],[239,257,244,232,273,215,13,21,20,5,11,12])).
% 1.74/1.81 cnf(276,plain,
% 1.74/1.81 (~E(f3(a5),f2(f3(a4),f2(f3(a4),a4)))),
% 1.74/1.81 inference(scs_inference,[],[239,257,244,232,273,262,215,98,13,21,20,5,11,12,3])).
% 1.74/1.81 cnf(279,plain,
% 1.74/1.81 (P1(f6(f2(f3(a5),a5),f2(a4,a5)))),
% 1.74/1.81 inference(scs_inference,[],[239,257,244,237,232,273,262,215,98,13,21,20,5,11,12,3,2,25])).
% 1.74/1.81 cnf(281,plain,
% 1.74/1.81 (P1(f3(f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[239,257,244,185,237,232,273,262,215,98,13,21,20,5,11,12,3,2,25,29])).
% 1.74/1.81 cnf(283,plain,
% 1.74/1.81 (E(f6(x2831,f1(a4)),f6(x2831,f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[239,257,244,185,237,232,273,262,215,98,136,13,21,20,5,11,12,3,2,25,29,9])).
% 1.74/1.81 cnf(285,plain,
% 1.74/1.81 (P2(f3(a5),f1(a4))+~P1(f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[35,239,257,244,185,237,232,273,262,215,98,136,13,21,20,5,11,12,3,2,25,29,9,8,268])).
% 1.74/1.81 cnf(287,plain,
% 1.74/1.81 (E(f3(f1(a4)),f3(f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[35,239,257,244,185,237,232,273,262,215,98,136,13,21,20,5,11,12,3,2,25,29,9,8,268,7])).
% 1.74/1.81 cnf(288,plain,
% 1.74/1.81 (E(f2(x2881,f1(a4)),f2(x2881,f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[35,239,257,244,185,237,232,273,262,215,98,136,13,21,20,5,11,12,3,2,25,29,9,8,268,7,6])).
% 1.74/1.81 cnf(289,plain,
% 1.74/1.81 (~P1(f3(a5))+P2(f3(a5),f1(f2(a4,f1(a4))))),
% 1.74/1.81 inference(scs_inference,[],[35,239,257,244,185,237,232,273,262,215,98,136,13,21,20,5,11,12,3,2,25,29,9,8,268,7,6,263])).
% 1.74/1.81 cnf(291,plain,
% 1.74/1.81 (P1(f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[281,19])).
% 1.74/1.81 cnf(293,plain,
% 1.74/1.81 (~E(f2(a4,a5),f2(f1(a4),a5))),
% 1.74/1.81 inference(scs_inference,[],[274,281,15,19,21])).
% 1.74/1.81 cnf(295,plain,
% 1.74/1.81 (~E(a4,f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[274,281,15,19,21,5])).
% 1.74/1.81 cnf(296,plain,
% 1.74/1.81 (P2(f2(a4,a5),f2(f2(a4,a5),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[72,274,281,113,15,19,21,5,12])).
% 1.74/1.81 cnf(297,plain,
% 1.74/1.81 (E(f2(x2971,f2(x2972,x2973)),f2(f2(x2971,x2972),x2973))),
% 1.74/1.81 inference(rename_variables,[],[72])).
% 1.74/1.81 cnf(298,plain,
% 1.74/1.81 (P2(f2(f2(a4,a5),f1(a5)),f2(a4,a5))),
% 1.74/1.81 inference(scs_inference,[],[72,297,274,281,116,113,15,19,21,5,12,11])).
% 1.74/1.81 cnf(299,plain,
% 1.74/1.81 (E(f2(x2991,f2(x2992,x2993)),f2(f2(x2991,x2992),x2993))),
% 1.74/1.81 inference(rename_variables,[],[72])).
% 1.74/1.81 cnf(300,plain,
% 1.74/1.81 (E(f2(x3001,f2(f1(x3001),x3002)),f2(x3001,x3002))),
% 1.74/1.81 inference(scs_inference,[],[271,72,297,299,274,281,116,113,15,19,21,5,12,11,3])).
% 1.74/1.81 cnf(303,plain,
% 1.74/1.81 (~E(f2(f3(a4),f2(f3(a4),a4)),f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[271,72,297,299,274,281,276,116,113,15,19,21,5,12,11,3,2])).
% 1.74/1.81 cnf(304,plain,
% 1.74/1.81 (P2(f3(a5),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[271,72,297,299,274,281,276,116,113,15,19,21,5,12,11,3,2,285])).
% 1.74/1.81 cnf(305,plain,
% 1.74/1.81 (P1(f1(f2(a4,f1(a4))))),
% 1.74/1.81 inference(scs_inference,[],[271,72,297,299,274,281,276,210,116,113,15,19,21,5,12,11,3,2,285,22])).
% 1.74/1.81 cnf(307,plain,
% 1.74/1.81 (E(f2(a4,a5),f2(f2(a4,a5),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[271,72,297,299,274,281,276,210,116,113,15,19,21,5,12,11,3,2,285,22,20])).
% 1.74/1.81 cnf(309,plain,
% 1.74/1.81 (P2(f3(a5),f1(f2(a4,f1(a4))))),
% 1.74/1.81 inference(scs_inference,[],[271,72,297,299,274,281,276,210,116,113,15,19,21,5,12,11,3,2,285,22,20,289])).
% 1.74/1.81 cnf(312,plain,
% 1.74/1.81 (P2(f6(f2(f3(a5),a5),f2(a4,a5)),f6(a5,f2(a4,a5)))),
% 1.74/1.81 inference(scs_inference,[],[43,279,21])).
% 1.74/1.81 cnf(315,plain,
% 1.74/1.81 (~P2(f2(f3(a4),f2(f3(a4),a4)),f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[43,279,303,21,20])).
% 1.74/1.81 cnf(317,plain,
% 1.74/1.81 (P1(f1(f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[43,279,205,303,143,21,20,10])).
% 1.74/1.81 cnf(318,plain,
% 1.74/1.81 (~E(f2(f2(a4,a5),f1(a5)),f2(f3(a5),a5))),
% 1.74/1.81 inference(scs_inference,[],[43,279,269,205,298,303,143,21,20,10,11])).
% 1.74/1.81 cnf(320,plain,
% 1.74/1.81 (E(f2(x3201,x3202),f2(x3201,f2(f1(x3201),x3202)))),
% 1.74/1.81 inference(scs_inference,[],[43,300,279,269,205,307,298,303,143,21,20,10,11,12,2])).
% 1.74/1.81 cnf(321,plain,
% 1.74/1.81 (~E(f2(f2(a4,a5),f1(a5)),f2(f1(a4),a5))),
% 1.74/1.81 inference(scs_inference,[],[43,300,279,269,205,307,298,293,303,143,21,20,10,11,12,2,3])).
% 1.74/1.81 cnf(322,plain,
% 1.74/1.81 (P1(f2(f2(a4,a5),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[43,300,279,269,205,307,298,293,303,143,21,20,10,11,12,2,3,23])).
% 1.74/1.81 cnf(324,plain,
% 1.74/1.81 (P2(f1(f3(a5)),f1(f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[150,317,21])).
% 1.74/1.81 cnf(326,plain,
% 1.74/1.81 (E(f3(a5),f1(f2(a4,f1(a4))))),
% 1.74/1.81 inference(scs_inference,[],[150,309,317,21,20])).
% 1.74/1.81 cnf(328,plain,
% 1.74/1.81 (~P2(f2(a4,a5),f2(f2(f3(a5),a5),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[150,309,317,127,74,21,20,12])).
% 1.74/1.81 cnf(333,plain,
% 1.74/1.81 (~E(f2(f3(a5),a5),f2(f2(a4,a5),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[150,318,309,317,77,295,45,269,127,74,21,20,12,11,3,2])).
% 1.74/1.81 cnf(334,plain,
% 1.74/1.81 (P1(f2(f2(a4,f1(a4)),a5))),
% 1.74/1.81 inference(scs_inference,[],[150,318,309,305,317,77,295,45,269,127,74,21,20,12,11,3,2,30])).
% 1.74/1.81 cnf(336,plain,
% 1.74/1.81 (E(f3(f1(a5)),f1(f2(a4,a5)))),
% 1.74/1.81 inference(scs_inference,[],[150,318,322,309,305,317,77,295,45,269,127,74,21,20,12,11,3,2,30,27])).
% 1.74/1.81 cnf(340,plain,
% 1.74/1.81 (~P2(f3(f1(a5)),f1(a5))),
% 1.74/1.81 inference(scs_inference,[],[200,150,318,322,309,305,317,77,295,45,269,139,127,74,21,20,12,11,3,2,30,27,10,54])).
% 1.74/1.81 cnf(343,plain,
% 1.74/1.81 (P2(f1(a4),f2(f1(a4),f1(f3(a5))))),
% 1.74/1.81 inference(scs_inference,[],[333,149,171,20,12])).
% 1.74/1.81 cnf(344,plain,
% 1.74/1.81 (E(f2(f3(a5),x3441),f2(f1(a4),x3441))),
% 1.74/1.81 inference(rename_variables,[],[149])).
% 1.74/1.81 cnf(345,plain,
% 1.74/1.81 (P2(f6(a5,f2(a4,a5)),f6(a5,f2(a4,a5)))),
% 1.74/1.81 inference(scs_inference,[],[43,312,333,149,171,20,12,11])).
% 1.74/1.81 cnf(350,plain,
% 1.74/1.81 (E(f3(f2(f3(a5),a5)),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[43,312,333,252,148,149,344,171,20,12,11,3,2])).
% 1.74/1.81 cnf(351,plain,
% 1.74/1.81 (P1(f6(a4,f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[43,312,333,252,148,149,344,222,171,20,12,11,3,2,25])).
% 1.74/1.81 cnf(353,plain,
% 1.74/1.81 (P1(f3(f2(a4,f1(a4))))),
% 1.74/1.81 inference(scs_inference,[],[43,312,333,252,334,148,149,344,222,171,20,12,11,3,2,25,29])).
% 1.74/1.81 cnf(356,plain,
% 1.74/1.81 (E(f2(x3561,f2(x3562,f1(x3562))),f2(x3561,x3562))),
% 1.74/1.81 inference(scs_inference,[],[43,312,333,252,334,148,149,344,222,171,13,20,12,11,3,2,25,29,9,6])).
% 1.74/1.81 cnf(364,plain,
% 1.74/1.81 (P1(f2(f1(a4),f1(f3(a5))))),
% 1.74/1.81 inference(scs_inference,[],[343,22])).
% 1.74/1.81 cnf(369,plain,
% 1.74/1.81 (E(f1(a4),f2(f1(a4),f1(f3(a5))))),
% 1.74/1.81 inference(scs_inference,[],[158,353,343,22,21,20])).
% 1.74/1.81 cnf(373,plain,
% 1.74/1.81 (P2(f3(f3(a5)),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[158,201,353,345,287,343,260,22,21,20,12,11])).
% 1.74/1.81 cnf(374,plain,
% 1.74/1.81 (E(f6(f2(f3(x3741),x3741),f3(a5)),f6(x3741,f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[43,158,201,353,345,287,146,343,260,22,21,20,12,11,3])).
% 1.74/1.81 cnf(377,plain,
% 1.74/1.81 (~E(f2(f1(a4),a5),f2(f2(a4,a5),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[43,158,201,353,345,287,321,146,343,260,22,21,20,12,11,3,2])).
% 1.74/1.81 cnf(378,plain,
% 1.74/1.81 (P1(a5)),
% 1.74/1.81 inference(scs_inference,[],[43,158,201,353,345,287,321,146,343,260,291,22,21,20,12,11,3,2,19])).
% 1.74/1.81 cnf(383,plain,
% 1.74/1.81 (P2(f3(f3(a5)),f3(f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[147,281,21])).
% 1.74/1.81 cnf(388,plain,
% 1.74/1.81 (~P2(f2(f1(a4),f2(f3(a5),a5)),f2(a4,a5))),
% 1.74/1.81 inference(scs_inference,[],[45,147,377,272,336,92,281,21,20,12,11])).
% 1.74/1.81 cnf(391,plain,
% 1.74/1.81 (~E(f2(f3(f1(a5)),f1(a5)),f3(f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[45,147,377,374,272,336,92,76,281,21,20,12,11,2,3])).
% 1.74/1.81 cnf(394,plain,
% 1.74/1.81 (P1(f3(f2(f3(a5),a5)))),
% 1.74/1.81 inference(scs_inference,[],[45,147,377,374,272,336,92,76,233,281,317,21,20,12,11,2,3,30,22])).
% 1.74/1.81 cnf(396,plain,
% 1.74/1.81 (P1(f2(f2(f3(a4),a4),f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[288,193,10])).
% 1.74/1.81 cnf(397,plain,
% 1.74/1.81 (E(f2(x3971,f1(a4)),f2(x3971,f3(a5)))),
% 1.74/1.81 inference(rename_variables,[],[288])).
% 1.74/1.81 cnf(398,plain,
% 1.74/1.81 (E(f3(f3(a5)),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[288,193,373,10,20])).
% 1.74/1.81 cnf(400,plain,
% 1.74/1.81 (P2(f2(f2(f3(a4),a4),f1(a4)),f2(a4,f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[288,397,191,193,373,10,20,12])).
% 1.74/1.81 cnf(401,plain,
% 1.74/1.81 (E(f2(x4011,f1(a4)),f2(x4011,f3(a5)))),
% 1.74/1.81 inference(rename_variables,[],[288])).
% 1.74/1.81 cnf(402,plain,
% 1.74/1.81 (P2(f2(f2(f3(a4),a4),f3(a5)),f2(a4,f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[288,397,401,191,193,373,10,20,12,11])).
% 1.74/1.81 cnf(404,plain,
% 1.74/1.81 (~E(f3(f1(a5)),f2(f3(f1(a5)),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[288,397,401,391,191,193,373,10,20,12,11,2])).
% 1.74/1.81 cnf(407,plain,
% 1.74/1.81 (E(f6(f2(f3(x4071),x4071),f1(a4)),f6(x4071,f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[43,388,283,288,397,401,391,191,193,373,10,20,12,11,2,21,3])).
% 1.74/1.81 cnf(415,plain,
% 1.74/1.81 (P1(f2(a4,f2(f3(a5),a5)))),
% 1.74/1.81 inference(scs_inference,[],[350,49,30])).
% 1.74/1.81 cnf(424,plain,
% 1.74/1.81 (~E(f2(f2(a4,a5),f1(a5)),f2(f2(f3(a5),a5),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[44,394,328,350,404,400,296,49,30,22,21,20,12])).
% 1.74/1.81 cnf(425,plain,
% 1.74/1.81 (P2(f2(a4,f3(a5)),f2(a4,f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[44,46,394,328,402,350,404,400,296,49,30,22,21,20,12,11])).
% 1.74/1.81 cnf(427,plain,
% 1.74/1.81 (E(f6(x4271,f3(a5)),f6(f2(f3(x4271),x4271),f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[44,46,394,328,402,350,404,407,400,296,49,30,22,21,20,12,11,2])).
% 1.74/1.81 cnf(429,plain,
% 1.74/1.81 (P2(f3(a5),f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[44,46,394,328,402,350,404,407,400,296,295,49,30,22,21,20,12,11,2,3,71])).
% 1.74/1.81 cnf(432,plain,
% 1.74/1.81 (P1(f3(f2(f3(a4),a4)))),
% 1.74/1.81 inference(scs_inference,[],[44,46,394,328,402,350,396,404,407,400,296,295,49,30,22,21,20,12,11,2,3,71,25,29])).
% 1.74/1.81 cnf(434,plain,
% 1.74/1.81 (P1(f2(f2(f3(a5),a5),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[44,46,394,328,402,350,396,404,407,400,378,296,120,295,49,30,22,21,20,12,11,2,3,71,25,29,10])).
% 1.74/1.81 cnf(439,plain,
% 1.74/1.81 (P2(f3(f2(f3(a4),a4)),f3(a4))),
% 1.74/1.81 inference(scs_inference,[],[44,434,432,28,21])).
% 1.74/1.81 cnf(442,plain,
% 1.74/1.81 (E(f2(f2(f3(a4),a4),f3(a5)),f2(a4,f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[44,434,432,402,28,21,20])).
% 1.74/1.81 cnf(446,plain,
% 1.74/1.81 (~E(f2(f2(f3(a5),a5),f1(a5)),f2(f2(a4,a5),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[44,46,434,424,432,402,127,28,21,20,11,2])).
% 1.74/1.81 cnf(447,plain,
% 1.74/1.81 (~E(f2(a5,f2(f1(a5),f1(a5))),f2(a4,a5))),
% 1.74/1.81 inference(scs_inference,[],[44,46,320,434,424,432,402,81,127,28,21,20,11,2,3])).
% 1.74/1.81 cnf(449,plain,
% 1.74/1.81 (P1(f2(f3(a5),a5))),
% 1.74/1.81 inference(scs_inference,[],[44,46,320,434,424,432,402,81,127,28,21,20,11,2,3,18])).
% 1.74/1.81 cnf(451,plain,
% 1.74/1.81 (E(f3(a5),f1(f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[44,46,320,434,424,432,402,81,127,28,21,20,11,2,3,18,27])).
% 1.74/1.81 cnf(455,plain,
% 1.74/1.81 (~P2(f2(a4,a5),f2(f1(a4),f2(f3(a5),a5)))),
% 1.74/1.81 inference(scs_inference,[],[45,446,274,20,12])).
% 1.74/1.81 cnf(457,plain,
% 1.74/1.81 (P2(f2(a4,f1(a4)),f2(a4,f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[45,46,446,274,400,20,12,11])).
% 1.74/1.81 cnf(458,plain,
% 1.74/1.81 (E(f2(f2(f3(x4581),x4581),x4582),f2(x4581,x4582))),
% 1.74/1.81 inference(rename_variables,[],[46])).
% 1.74/1.81 cnf(459,plain,
% 1.74/1.81 (E(f1(f2(a4,f1(a4))),f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[45,46,446,326,274,400,20,12,11,2])).
% 1.74/1.81 cnf(460,plain,
% 1.74/1.81 (E(f2(f2(f3(x4601),x4601),f1(a4)),f2(x4601,f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[45,46,458,446,326,274,288,400,20,12,11,2,3])).
% 1.74/1.81 cnf(467,plain,
% 1.74/1.81 (~E(f3(f1(a5)),f1(a5))+~P1(f2(f3(f1(a5)),x4671))),
% 1.74/1.81 inference(scs_inference,[],[45,46,458,446,340,326,274,288,400,20,12,11,2,3,21,18,28])).
% 1.74/1.81 cnf(469,plain,
% 1.74/1.81 (~E(f3(f1(a5)),f1(a5))+~P1(f2(f1(a5),x4691))),
% 1.74/1.81 inference(scs_inference,[],[45,46,458,446,340,326,274,288,400,20,12,11,2,3,21,18,28,29])).
% 1.74/1.81 cnf(471,plain,
% 1.74/1.81 (~P2(x4711,f3(f1(a5)))+~E(f3(f1(a5)),f1(a5))),
% 1.74/1.81 inference(scs_inference,[],[45,46,458,446,340,326,274,288,400,20,12,11,2,3,21,18,28,29,22])).
% 1.74/1.81 cnf(476,plain,
% 1.74/1.81 (P2(f3(a4),f1(f3(a4)))),
% 1.74/1.81 inference(scs_inference,[],[47,258,105,29,21])).
% 1.74/1.81 cnf(478,plain,
% 1.74/1.81 (E(f2(f2(a4,a5),f1(a5)),f2(a4,a5))),
% 1.74/1.81 inference(scs_inference,[],[47,258,105,298,29,21,20])).
% 1.74/1.81 cnf(480,plain,
% 1.74/1.81 (P2(f2(a4,f1(a4)),f2(f2(a4,f1(a4)),f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[47,457,258,95,105,298,29,21,20,12])).
% 1.74/1.81 cnf(482,plain,
% 1.74/1.81 (P2(f1(a4),f3(f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[47,457,398,258,383,95,105,298,29,21,20,12,11])).
% 1.74/1.81 cnf(483,plain,
% 1.74/1.81 (~E(f2(a4,a5),f2(a5,f2(f1(a5),f1(a5))))),
% 1.74/1.81 inference(scs_inference,[],[47,457,398,447,258,383,95,105,298,29,21,20,12,11,2])).
% 1.74/1.81 cnf(484,plain,
% 1.74/1.81 (~E(a4,f3(f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[47,457,398,447,258,383,95,105,295,298,29,21,20,12,11,2,3])).
% 1.74/1.81 cnf(487,plain,
% 1.74/1.81 (P1(f2(f2(a4,f1(a4)),f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[480,22])).
% 1.74/1.81 cnf(490,plain,
% 1.74/1.81 (E(f2(x4901,f2(f3(x4902),x4902)),f2(x4901,x4902))),
% 1.74/1.81 inference(rename_variables,[],[45])).
% 1.74/1.81 cnf(497,plain,
% 1.74/1.81 (~P2(f2(a4,f2(f3(a5),a5)),a5)),
% 1.74/1.81 inference(scs_inference,[],[45,490,351,480,427,137,483,415,429,127,22,21,10,20,12,11])).
% 1.74/1.81 cnf(499,plain,
% 1.74/1.81 (E(f2(a4,f1(a4)),f2(f2(f3(a4),a4),f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[45,490,351,442,480,427,137,483,415,429,127,22,21,10,20,12,11,2])).
% 1.74/1.81 cnf(500,plain,
% 1.74/1.81 (~E(f2(f2(f3(a4),a4),f1(a4)),f3(f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[45,490,351,442,480,427,137,483,484,415,429,120,127,22,21,10,20,12,11,2,3])).
% 1.74/1.81 cnf(502,plain,
% 1.74/1.81 (P2(f3(a4),f3(a4))),
% 1.74/1.81 inference(scs_inference,[],[45,490,351,442,480,427,137,483,484,415,439,429,120,127,22,21,10,20,12,11,2,3,71])).
% 1.74/1.81 cnf(511,plain,
% 1.74/1.81 (E(f1(a4),f3(f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[455,482,15,21,20])).
% 1.74/1.81 cnf(515,plain,
% 1.74/1.81 (~E(f3(f3(a5)),f2(f2(f3(a4),a4),f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[455,460,500,482,400,15,21,20,11,2])).
% 1.74/1.81 cnf(516,plain,
% 1.74/1.81 (E(f2(f3(x5161),f2(x5161,x5162)),f2(x5161,x5162))),
% 1.74/1.81 inference(scs_inference,[],[46,455,460,500,482,72,400,15,21,20,11,2,3])).
% 1.74/1.81 cnf(523,plain,
% 1.74/1.81 (~P2(f3(f3(a5)),f2(f2(f3(a4),a4),f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[47,515,87,21,20])).
% 1.74/1.81 cnf(526,plain,
% 1.74/1.81 (P2(f1(f3(a5)),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[47,499,515,451,425,304,87,21,20,12,11])).
% 1.74/1.81 cnf(528,plain,
% 1.74/1.81 (E(f2(x5281,x5282),f2(f3(x5281),f2(x5281,x5282)))),
% 1.74/1.81 inference(scs_inference,[],[47,516,499,515,451,154,425,304,87,295,21,20,12,11,3,2])).
% 1.74/1.81 cnf(532,plain,
% 1.74/1.81 (E(f1(f3(a5)),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[46,526,242,21,20])).
% 1.74/1.81 cnf(534,plain,
% 1.74/1.81 (~E(f3(f1(a4)),f2(f2(f3(a4),a4),f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[46,523,526,242,383,21,20,12])).
% 1.74/1.81 cnf(535,plain,
% 1.74/1.81 (~E(f2(f3(a4),f2(a4,a5)),f2(a5,f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[46,528,523,526,97,242,383,21,20,12,3])).
% 1.74/1.81 cnf(540,plain,
% 1.74/1.81 (~P2(f2(f3(a4),f2(a4,a5)),f2(a5,f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[535,497,415,21,20])).
% 1.74/1.81 cnf(544,plain,
% 1.74/1.81 (E(f2(x5441,f1(x5441)),f2(f3(x5441),x5441))),
% 1.74/1.81 inference(scs_inference,[],[356,535,497,502,202,528,415,21,20,12,3])).
% 1.74/1.81 cnf(547,plain,
% 1.74/1.81 (E(f2(f1(a4),f1(f3(a5))),f1(a4))),
% 1.74/1.81 inference(scs_inference,[],[356,535,497,369,502,202,528,415,21,20,12,3,2])).
% 1.74/1.81 cnf(554,plain,
% 1.74/1.81 (E(f2(a4,f1(a4)),f2(f2(a4,f1(a4)),f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[46,547,364,480,434,21,10,20])).
% 1.74/1.81 cnf(556,plain,
% 1.74/1.81 (~P2(f2(a4,a5),f2(a5,f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[46,547,364,204,328,480,434,21,10,20,12])).
% 1.74/1.81 cnf(559,plain,
% 1.74/1.81 (~E(f2(f2(a4,a5),f1(a5)),f2(a5,f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[46,544,534,547,364,204,318,328,480,434,21,10,20,12,2,3])).
% 1.74/1.81 cnf(561,plain,
% 1.74/1.81 (E(f3(f1(a5)),f1(a5))),
% 1.74/1.81 inference(scs_inference,[],[46,544,534,547,364,204,318,328,480,434,21,10,20,12,2,3,27])).
% 1.74/1.81 cnf(563,plain,
% 1.74/1.81 (P1(f1(a5))),
% 1.74/1.81 inference(scs_inference,[],[46,544,534,547,364,204,318,328,480,434,21,10,20,12,2,3,27,28])).
% 1.74/1.81 cnf(575,plain,
% 1.74/1.81 (~P1(f2(f3(f1(a5)),x5751))),
% 1.74/1.81 inference(scs_inference,[],[561,467])).
% 1.74/1.81 cnf(576,plain,
% 1.74/1.81 (~P1(f2(f1(a5),x5761))),
% 1.74/1.81 inference(scs_inference,[],[561,469])).
% 1.74/1.81 cnf(577,plain,
% 1.74/1.81 (~P2(x5771,f3(f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[561,471])).
% 1.74/1.81 cnf(585,plain,
% 1.74/1.81 (E(f2(f2(a4,f1(a4)),f3(a5)),f2(a4,f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[559,540,554,459,476,271,258,305,21,20,12,11,2])).
% 1.74/1.81 cnf(588,plain,
% 1.74/1.81 (P1(f1(f2(a5,f1(a5))))),
% 1.74/1.81 inference(scs_inference,[],[559,540,554,459,563,476,544,79,271,66,258,305,21,20,12,11,2,3,10])).
% 1.74/1.81 cnf(598,plain,
% 1.74/1.81 (~P2(f2(f3(f1(a5)),x5981),x5982)),
% 1.74/1.81 inference(scs_inference,[],[575,576,19,23])).
% 1.74/1.81 cnf(600,plain,
% 1.74/1.81 (~P2(x6001,f2(f3(f1(a5)),x6002))),
% 1.74/1.81 inference(scs_inference,[],[575,576,19,23,22])).
% 1.74/1.81 cnf(602,plain,
% 1.74/1.81 (~E(f3(a4),f3(f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[47,575,576,577,19,23,22,21])).
% 1.74/1.81 cnf(605,plain,
% 1.74/1.81 (P2(f1(a4),f3(f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[47,575,576,577,287,482,19,23,22,21,12])).
% 1.74/1.81 cnf(606,plain,
% 1.74/1.81 (~P2(f2(f3(a4),a4),f3(a5))),
% 1.74/1.81 inference(scs_inference,[],[47,575,576,577,315,203,287,482,19,23,22,21,12,11])).
% 1.74/1.81 cnf(614,plain,
% 1.74/1.81 (~P1(f2(f2(f1(a5),x6141),x6142))),
% 1.74/1.81 inference(scs_inference,[],[47,575,576,577,255,315,511,203,287,482,19,23,22,21,12,11,2,3,18,30,28])).
% 1.74/1.81 cnf(622,plain,
% 1.74/1.81 (~P2(f2(a4,a5),f2(f2(a5,f1(a5)),f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[55,556,271,120,21,12])).
% 1.74/1.81 cnf(626,plain,
% 1.74/1.81 (~E(a4,f1(f3(a5)))),
% 1.74/1.81 inference(scs_inference,[],[55,556,532,324,271,120,295,21,12,11,2,3])).
% 1.74/1.81 cnf(629,plain,
% 1.74/1.81 (E(f1(a4),f1(f1(a4)))),
% 1.74/1.81 inference(scs_inference,[],[60,55,556,532,324,271,120,295,21,12,11,2,3,25,20])).
% 1.74/1.81 cnf(642,plain,
% 1.74/1.81 (~P2(f2(f2(f1(a5),x6421),x6422),x6423)),
% 1.74/1.81 inference(scs_inference,[],[61,60,598,614,622,602,605,626,588,296,120,21,20,12,11,2,3,23])).
% 1.74/1.81 cnf(650,plain,
% 1.74/1.81 (P2(f2(a4,a5),f2(a4,f2(f1(a4),a5)))),
% 1.74/1.81 inference(scs_inference,[],[62,606,449,250,320,149,21,10,12])).
% 1.74/1.81 cnf(653,plain,
% 1.74/1.81 (E(f1(a5),f3(f1(a5)))),
% 1.74/1.81 inference(scs_inference,[],[62,478,561,606,449,250,320,622,149,21,10,12,11,2])).
% 1.74/1.81 cnf(689,plain,
% 1.74/1.81 ($false),
% 1.74/1.81 inference(scs_inference,[],[62,64,60,650,629,642,600,585,653,487,544,336,21,10,11,12,2,3]),
% 1.74/1.81 ['proof']).
% 1.74/1.81 % SZS output end Proof
% 1.74/1.81 % Total time :1.160000s
%------------------------------------------------------------------------------