TSTP Solution File: SET887+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET887+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:31:34 EDT 2023
% Result : Theorem 1.78s 1.98s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET887+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n011.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 : Sat Aug 26 13:07:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.60 start to proof:theBenchmark
% 1.78/1.97 %-------------------------------------------
% 1.78/1.97 % File :CSE---1.6
% 1.78/1.97 % Problem :theBenchmark
% 1.78/1.97 % Transform :cnf
% 1.78/1.97 % Format :tptp:raw
% 1.78/1.97 % Command :java -jar mcs_scs.jar %d %s
% 1.78/1.97
% 1.78/1.97 % Result :Theorem 1.320000s
% 1.78/1.97 % Output :CNFRefutation 1.320000s
% 1.78/1.97 %-------------------------------------------
% 1.78/1.98 %------------------------------------------------------------------------------
% 1.78/1.98 % File : SET887+1 : TPTP v8.1.2. Released v3.2.0.
% 1.78/1.98 % Domain : Set theory
% 1.78/1.98 % Problem : ~ ( subset(uno_pair(A,B),uno_pair(C,D)) & A != C & A != D )
% 1.78/1.98 % Version : [Urb06] axioms : Especial.
% 1.78/1.98 % English :
% 1.78/1.98
% 1.78/1.98 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 1.78/1.98 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 1.78/1.98 % Source : [Urb06]
% 1.78/1.98 % Names : zfmisc_1__t28_zfmisc_1 [Urb06]
% 1.78/1.98
% 1.78/1.98 % Status : Theorem
% 1.78/1.98 % Rating : 0.28 v8.1.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.23 v7.3.0, 0.28 v7.2.0, 0.24 v7.1.0, 0.22 v7.0.0, 0.20 v6.4.0, 0.19 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.43 v6.0.0, 0.39 v5.5.0, 0.37 v5.4.0, 0.32 v5.3.0, 0.44 v5.2.0, 0.30 v5.1.0, 0.33 v5.0.0, 0.38 v4.1.0, 0.39 v4.0.0, 0.38 v3.7.0, 0.30 v3.5.0, 0.37 v3.4.0, 0.42 v3.3.0, 0.36 v3.2.0
% 1.78/1.98 % Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% 1.78/1.98 % Number of atoms : 26 ( 16 equ)
% 1.78/1.98 % Maximal formula atoms : 5 ( 2 avg)
% 1.78/1.98 % Number of connectives : 28 ( 14 ~; 1 |; 7 &)
% 1.78/1.98 % ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% 1.78/1.98 % Maximal formula depth : 10 ( 5 avg)
% 1.78/1.98 % Maximal term depth : 2 ( 1 avg)
% 1.78/1.98 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 1.78/1.98 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 1.78/1.98 % Number of variables : 28 ( 26 !; 2 ?)
% 1.78/1.98 % SPC : FOF_THM_RFO_SEQ
% 1.78/1.98
% 1.78/1.98 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 1.78/1.98 % library, www.mizar.org
% 1.78/1.98 %------------------------------------------------------------------------------
% 1.78/1.98 fof(antisymmetry_r2_hidden,axiom,
% 1.78/1.98 ! [A,B] :
% 1.78/1.98 ( in(A,B)
% 1.78/1.98 => ~ in(B,A) ) ).
% 1.78/1.98
% 1.78/1.98 fof(commutativity_k2_tarski,axiom,
% 1.78/1.98 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 1.78/1.98
% 1.78/1.98 fof(d1_xboole_0,axiom,
% 1.78/1.98 ! [A] :
% 1.78/1.98 ( A = empty_set
% 1.78/1.98 <=> ! [B] : ~ in(B,A) ) ).
% 1.78/1.98
% 1.78/1.98 fof(d2_tarski,axiom,
% 1.78/1.98 ! [A,B,C] :
% 1.78/1.98 ( C = unordered_pair(A,B)
% 1.78/1.98 <=> ! [D] :
% 1.78/1.98 ( in(D,C)
% 1.78/1.98 <=> ( D = A
% 1.78/1.98 | D = B ) ) ) ).
% 1.78/1.98
% 1.78/1.98 fof(fc1_xboole_0,axiom,
% 1.78/1.98 empty(empty_set) ).
% 1.78/1.98
% 1.78/1.98 fof(l46_zfmisc_1,axiom,
% 1.78/1.98 ! [A,B,C] :
% 1.78/1.98 ( subset(A,unordered_pair(B,C))
% 1.78/1.98 <=> ~ ( A != empty_set
% 1.78/1.98 & A != singleton(B)
% 1.78/1.98 & A != singleton(C)
% 1.78/1.98 & A != unordered_pair(B,C) ) ) ).
% 1.78/1.98
% 1.78/1.98 fof(rc1_xboole_0,axiom,
% 1.78/1.98 ? [A] : empty(A) ).
% 1.78/1.98
% 1.78/1.98 fof(rc2_xboole_0,axiom,
% 1.78/1.98 ? [A] : ~ empty(A) ).
% 1.78/1.98
% 1.78/1.98 fof(reflexivity_r1_tarski,axiom,
% 1.78/1.98 ! [A,B] : subset(A,A) ).
% 1.78/1.98
% 1.78/1.98 fof(t10_zfmisc_1,axiom,
% 1.78/1.98 ! [A,B,C,D] :
% 1.78/1.98 ~ ( unordered_pair(A,B) = unordered_pair(C,D)
% 1.78/1.98 & A != C
% 1.78/1.98 & A != D ) ).
% 1.78/1.98
% 1.78/1.98 fof(t28_zfmisc_1,conjecture,
% 1.78/1.98 ! [A,B,C,D] :
% 1.78/1.98 ~ ( subset(unordered_pair(A,B),unordered_pair(C,D))
% 1.78/1.98 & A != C
% 1.78/1.98 & A != D ) ).
% 1.78/1.98
% 1.78/1.98 fof(t8_zfmisc_1,axiom,
% 1.78/1.98 ! [A,B,C] :
% 1.78/1.98 ( singleton(A) = unordered_pair(B,C)
% 1.78/1.98 => A = B ) ).
% 1.78/1.98
% 1.78/1.98 %------------------------------------------------------------------------------
% 1.78/1.98 %-------------------------------------------
% 1.78/1.98 % Proof found
% 1.78/1.98 % SZS status Theorem for theBenchmark
% 1.78/1.98 % SZS output start Proof
% 1.78/1.98 %ClaNum:39(EqnAxiom:15)
% 1.78/1.98 %VarNum:120(SingletonVarNum:51)
% 1.78/1.98 %MaxLitNum:5
% 1.78/1.98 %MaxfuncDepth:1
% 1.78/1.98 %SharedTerms:15
% 1.78/1.98 %goalClause: 20 21 22
% 1.78/1.98 %singleGoalClaCount:3
% 1.78/1.98 [16]P1(a1)
% 1.78/1.98 [17]P1(a2)
% 1.78/1.98 [21]~E(a9,a6)
% 1.78/1.98 [22]~E(a10,a6)
% 1.78/1.98 [23]~P1(a7)
% 1.78/1.98 [20]P2(f5(a6,a8),f5(a9,a10))
% 1.78/1.98 [18]P2(x181,x181)
% 1.78/1.98 [19]E(f5(x191,x192),f5(x192,x191))
% 1.78/1.98 [24]P3(f3(x241),x241)+E(x241,a1)
% 1.78/1.98 [25]~P3(x252,x251)+~E(x251,a1)
% 1.78/1.98 [30]~P3(x302,x301)+~P3(x301,x302)
% 1.78/1.98 [26]E(x261,x262)+~E(f11(x261),f5(x262,x263))
% 1.78/1.98 [29]~E(x291,a1)+P2(x291,f5(x292,x293))
% 1.78/1.98 [31]~E(x311,f11(x313))+P2(x311,f5(x312,x313))
% 1.78/1.98 [32]~E(x321,f11(x322))+P2(x321,f5(x322,x323))
% 1.78/1.98 [35]P2(x351,f5(x352,x353))+~E(x351,f5(x352,x353))
% 1.78/1.98 [38]~E(f4(x382,x383,x381),x383)+~P3(f4(x382,x383,x381),x381)+E(x381,f5(x382,x383))
% 1.78/1.98 [39]~E(f4(x392,x393,x391),x392)+~P3(f4(x392,x393,x391),x391)+E(x391,f5(x392,x393))
% 1.78/1.98 [27]P3(x271,x272)+~E(x271,x273)+~E(x272,f5(x274,x273))
% 1.78/1.98 [28]P3(x281,x282)+~E(x281,x283)+~E(x282,f5(x283,x284))
% 1.78/1.98 [33]E(x331,x332)+E(x331,x333)+~E(f5(x331,x334),f5(x333,x332))
% 1.78/1.98 [37]E(f4(x372,x373,x371),x373)+E(f4(x372,x373,x371),x372)+P3(f4(x372,x373,x371),x371)+E(x371,f5(x372,x373))
% 1.78/1.98 [34]~P3(x341,x344)+E(x341,x342)+E(x341,x343)+~E(x344,f5(x343,x342))
% 1.78/1.98 [36]E(x361,f5(x363,x362))+~P2(x361,f5(x363,x362))+E(x361,a1)+E(x361,f11(x362))+E(x361,f11(x363))
% 1.78/1.98 %EqnAxiom
% 1.78/1.98 [1]E(x11,x11)
% 1.78/1.98 [2]E(x22,x21)+~E(x21,x22)
% 1.78/1.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.78/1.98 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 1.78/1.98 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 1.78/1.98 [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64))
% 1.78/1.98 [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74))
% 1.78/1.98 [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82))
% 1.78/1.98 [9]~E(x91,x92)+E(f11(x91),f11(x92))
% 1.78/1.98 [10]~E(x101,x102)+E(f3(x101),f3(x102))
% 1.78/1.98 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 1.78/1.98 [12]P3(x122,x123)+~E(x121,x122)+~P3(x121,x123)
% 1.78/1.98 [13]P3(x133,x132)+~E(x131,x132)+~P3(x133,x131)
% 1.78/1.98 [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143)
% 1.78/1.98 [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151)
% 1.78/1.98
% 1.78/1.98 %-------------------------------------------
% 1.78/1.99 cnf(40,plain,
% 1.78/1.99 (P2(f5(a6,a8),f5(a10,a9))),
% 1.78/1.99 inference(scs_inference,[],[20,19,15])).
% 1.78/1.99 cnf(41,plain,
% 1.78/1.99 (E(f5(x411,x412),f5(x412,x411))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(42,plain,
% 1.78/1.99 (P2(f5(a8,a6),f5(a9,a10))),
% 1.78/1.99 inference(scs_inference,[],[20,19,41,15,14])).
% 1.78/1.99 cnf(43,plain,
% 1.78/1.99 (E(f5(x431,x432),f5(x432,x431))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(45,plain,
% 1.78/1.99 (E(f5(x451,x452),f5(x452,x451))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(47,plain,
% 1.78/1.99 (~E(a6,a9)),
% 1.78/1.99 inference(scs_inference,[],[20,21,19,41,43,15,14,34,2])).
% 1.78/1.99 cnf(48,plain,
% 1.78/1.99 (~E(f11(a9),f5(a6,x481))),
% 1.78/1.99 inference(scs_inference,[],[20,21,19,41,43,15,14,34,2,26])).
% 1.78/1.99 cnf(50,plain,
% 1.78/1.99 (P2(f5(x501,x502),f5(x502,x501))),
% 1.78/1.99 inference(scs_inference,[],[20,21,19,41,43,45,15,14,34,2,26,35])).
% 1.78/1.99 cnf(52,plain,
% 1.78/1.99 (~P3(x521,f5(a6,a6))+~E(x521,a9)),
% 1.78/1.99 inference(scs_inference,[],[20,21,19,41,43,45,15,14,34,2,26,35,12])).
% 1.78/1.99 cnf(53,plain,
% 1.78/1.99 (~E(a1,a7)),
% 1.78/1.99 inference(scs_inference,[],[20,21,16,23,19,41,43,45,15,14,34,2,26,35,12,11])).
% 1.78/1.99 cnf(54,plain,
% 1.78/1.99 (~E(f11(a9),f5(x541,a6))),
% 1.78/1.99 inference(scs_inference,[],[20,21,16,23,19,41,43,45,15,14,34,2,26,35,12,11,3])).
% 1.78/1.99 cnf(55,plain,
% 1.78/1.99 (E(f5(x551,x552),f5(x552,x551))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(56,plain,
% 1.78/1.99 (~E(f5(a9,x561),f5(a6,a6))),
% 1.78/1.99 inference(scs_inference,[],[20,21,16,23,19,41,43,45,15,14,34,2,26,35,12,11,3,33])).
% 1.78/1.99 cnf(58,plain,
% 1.78/1.99 (P3(f5(x581,x582),x583)+~E(x583,f5(f5(x582,x581),x584))),
% 1.78/1.99 inference(scs_inference,[],[20,21,16,23,19,41,43,45,55,15,14,34,2,26,35,12,11,3,33,28])).
% 1.78/1.99 cnf(60,plain,
% 1.78/1.99 (P3(f5(x601,x602),x603)+~E(x603,f5(x604,f5(x602,x601)))),
% 1.78/1.99 inference(scs_inference,[],[20,21,16,23,19,41,43,45,55,15,14,34,2,26,35,12,11,3,33,28,27])).
% 1.78/1.99 cnf(65,plain,
% 1.78/1.99 (P3(f5(x651,x652),f5(f5(x652,x651),x653))),
% 1.78/1.99 inference(equality_inference,[],[58])).
% 1.78/1.99 cnf(66,plain,
% 1.78/1.99 (P3(f5(x661,x662),f5(x663,f5(x662,x661)))),
% 1.78/1.99 inference(equality_inference,[],[60])).
% 1.78/1.99 cnf(67,plain,
% 1.78/1.99 (~P3(f5(f5(x671,x672),x673),f5(x672,x671))),
% 1.78/1.99 inference(scs_inference,[],[65,30])).
% 1.78/1.99 cnf(69,plain,
% 1.78/1.99 (~E(f5(f5(x691,x692),x693),a1)),
% 1.78/1.99 inference(scs_inference,[],[65,30,25])).
% 1.78/1.99 cnf(71,plain,
% 1.78/1.99 (P3(f5(x711,x712),f5(f5(x711,x712),x713))),
% 1.78/1.99 inference(scs_inference,[],[19,65,30,25,12])).
% 1.78/1.99 cnf(72,plain,
% 1.78/1.99 (E(f5(x721,x722),f5(x722,x721))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(73,plain,
% 1.78/1.99 (~E(a2,a7)),
% 1.78/1.99 inference(scs_inference,[],[17,23,19,65,30,25,12,11])).
% 1.78/1.99 cnf(77,plain,
% 1.78/1.99 (~E(f5(f5(x771,x771),x772),x771)),
% 1.78/1.99 inference(scs_inference,[],[17,23,19,72,65,56,30,25,12,11,13,37,28])).
% 1.78/1.99 cnf(78,plain,
% 1.78/1.99 (E(f5(x781,x782),f5(x782,x781))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(80,plain,
% 1.78/1.99 (~P3(a10,f5(a6,a6))),
% 1.78/1.99 inference(scs_inference,[],[22,17,23,19,72,78,65,56,30,25,12,11,13,37,28,34])).
% 1.78/1.99 cnf(87,plain,
% 1.78/1.99 (~E(f5(f5(x871,x872),x873),x872)),
% 1.78/1.99 inference(scs_inference,[],[19,77,66,67,4,30,27])).
% 1.78/1.99 cnf(88,plain,
% 1.78/1.99 (~P3(f5(f5(x881,x882),x883),f5(x882,x881))),
% 1.78/1.99 inference(rename_variables,[],[67])).
% 1.78/1.99 cnf(90,plain,
% 1.78/1.99 (~E(f5(f5(x901,x902),x903),x901)),
% 1.78/1.99 inference(scs_inference,[],[19,77,66,67,88,4,30,27,28])).
% 1.78/1.99 cnf(91,plain,
% 1.78/1.99 (E(f5(x911,x912),f5(x912,x911))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(93,plain,
% 1.78/1.99 (~P3(f11(a9),f5(f5(a6,x931),f5(a6,x931)))),
% 1.78/1.99 inference(scs_inference,[],[19,91,77,66,67,88,48,4,30,27,28,34])).
% 1.78/1.99 cnf(94,plain,
% 1.78/1.99 (E(f5(x941,x942),f5(x942,x941))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(96,plain,
% 1.78/1.99 (P3(f5(x961,x962),f5(x963,f5(x961,x962)))),
% 1.78/1.99 inference(scs_inference,[],[19,91,94,77,66,67,88,71,48,4,30,27,28,34,13])).
% 1.78/1.99 cnf(98,plain,
% 1.78/1.99 (E(f5(x981,x982),f5(x982,x981))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(104,plain,
% 1.78/1.99 (E(a6,a10)+E(f5(a6,a8),f11(a10))+E(f5(a6,a8),a1)+E(f5(a6,a8),f11(a9))),
% 1.78/1.99 inference(scs_inference,[],[18,40,19,91,94,98,77,66,67,88,71,48,47,4,30,27,28,34,13,11,36,14,33])).
% 1.78/1.99 cnf(110,plain,
% 1.78/1.99 (~P3(f5(x1101,f5(x1102,x1103)),f5(x1102,x1103))),
% 1.78/1.99 inference(scs_inference,[],[96,30])).
% 1.78/1.99 cnf(112,plain,
% 1.78/1.99 (~E(f5(a10,x1121),f5(a6,a6))),
% 1.78/1.99 inference(scs_inference,[],[22,96,30,33])).
% 1.78/1.99 cnf(114,plain,
% 1.78/1.99 (~E(a6,a10)),
% 1.78/1.99 inference(scs_inference,[],[22,96,30,33,2])).
% 1.78/1.99 cnf(115,plain,
% 1.78/1.99 (~E(f5(x1151,f5(x1152,x1153)),x1153)),
% 1.78/1.99 inference(scs_inference,[],[22,19,96,87,30,33,2,3])).
% 1.78/1.99 cnf(117,plain,
% 1.78/1.99 (E(f5(a6,a8),f11(a10))+E(f5(a6,a8),f11(a9))+E(f5(a6,a8),a1)),
% 1.78/1.99 inference(scs_inference,[],[114,104])).
% 1.78/1.99 cnf(119,plain,
% 1.78/1.99 (E(f5(x1191,x1192),f5(x1192,x1191))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(120,plain,
% 1.78/1.99 (~E(f5(a1,x1201),f5(a7,a7))),
% 1.78/1.99 inference(scs_inference,[],[42,19,53,15,33])).
% 1.78/1.99 cnf(122,plain,
% 1.78/1.99 (~E(f5(x1221,f5(x1222,x1223)),a1)),
% 1.78/1.99 inference(scs_inference,[],[42,19,119,53,69,15,33,3])).
% 1.78/1.99 cnf(125,plain,
% 1.78/1.99 (~E(f11(a10),f5(a6,x1251))),
% 1.78/1.99 inference(scs_inference,[],[22,42,19,119,53,69,15,33,3,26])).
% 1.78/1.99 cnf(127,plain,
% 1.78/1.99 (~P3(x1271,f5(a6,a6))+~E(x1271,a10)),
% 1.78/1.99 inference(scs_inference,[],[80,12])).
% 1.78/1.99 cnf(133,plain,
% 1.78/1.99 (~E(f5(x1331,f5(x1332,x1333)),x1332)),
% 1.78/1.99 inference(scs_inference,[],[87,4])).
% 1.78/1.99 cnf(135,plain,
% 1.78/1.99 (~E(x1351,f5(f5(x1351,x1352),x1353))),
% 1.78/1.99 inference(scs_inference,[],[90,87,4,2])).
% 1.78/1.99 cnf(136,plain,
% 1.78/1.99 (~P3(f5(f5(x1361,x1362),x1363),f5(x1361,x1361))),
% 1.78/1.99 inference(scs_inference,[],[19,90,87,4,2,34])).
% 1.78/1.99 cnf(146,plain,
% 1.78/1.99 (~E(f5(a6,x1461),f5(a9,a9))),
% 1.78/1.99 inference(scs_inference,[],[47,26,33])).
% 1.78/1.99 cnf(157,plain,
% 1.78/1.99 (~E(f5(x1571,a6),f5(a9,a9))),
% 1.78/1.99 inference(scs_inference,[],[19,146,3])).
% 1.78/1.99 cnf(158,plain,
% 1.78/1.99 (~E(f5(a6,x1581),f5(a9,a9))),
% 1.78/1.99 inference(rename_variables,[],[146])).
% 1.78/1.99 cnf(160,plain,
% 1.78/1.99 (~E(f5(a6,x1601),f11(a9))),
% 1.78/1.99 inference(scs_inference,[],[48,19,146,3,2])).
% 1.78/1.99 cnf(161,plain,
% 1.78/1.99 (P3(f4(a9,a9,f5(a6,x1611)),f5(a6,x1611))+E(f4(a9,a9,f5(a6,x1611)),a9)),
% 1.78/1.99 inference(scs_inference,[],[48,19,146,158,3,2,37])).
% 1.78/1.99 cnf(173,plain,
% 1.78/1.99 (E(f5(a6,a8),f11(a10))+E(f5(a6,a8),a1)),
% 1.78/1.99 inference(scs_inference,[],[160,117])).
% 1.78/1.99 cnf(182,plain,
% 1.78/1.99 (~E(f11(a6),f5(a10,x1821))),
% 1.78/1.99 inference(scs_inference,[],[114,26])).
% 1.78/1.99 cnf(184,plain,
% 1.78/1.99 (~E(f5(a2,x1841),f5(a7,a7))),
% 1.78/1.99 inference(scs_inference,[],[73,33])).
% 1.78/1.99 cnf(186,plain,
% 1.78/1.99 (~P3(a1,f5(a7,a7))),
% 1.78/1.99 inference(scs_inference,[],[53,73,19,33,34])).
% 1.78/1.99 cnf(189,plain,
% 1.78/1.99 (P3(f3(a7),a7)),
% 1.78/1.99 inference(scs_inference,[],[53,24,2])).
% 1.78/1.99 cnf(192,plain,
% 1.78/1.99 (~P3(a6,f5(a9,a9))),
% 1.78/1.99 inference(scs_inference,[],[47,189,19,30,34])).
% 1.78/1.99 cnf(195,plain,
% 1.78/1.99 (~E(a7,a1)),
% 1.78/1.99 inference(scs_inference,[],[53,47,189,19,30,34,2])).
% 1.78/1.99 cnf(227,plain,
% 1.78/1.99 (~E(f5(a10,x2271),f11(a6))),
% 1.78/1.99 inference(scs_inference,[],[182,93,66,12,2])).
% 1.78/1.99 cnf(228,plain,
% 1.78/1.99 (~P2(f5(f5(x2281,x2282),a6),f5(a9,a9))),
% 1.78/1.99 inference(scs_inference,[],[182,93,157,69,66,12,2,36])).
% 1.78/1.99 cnf(233,plain,
% 1.78/1.99 (~P2(f5(a6,f5(x2331,x2332)),f5(a9,a9))),
% 1.78/1.99 inference(scs_inference,[],[47,182,93,157,69,66,19,12,2,36,3,14])).
% 1.78/1.99 cnf(235,plain,
% 1.78/1.99 (~P2(f5(a10,f5(x2351,x2352)),f5(a6,a6))),
% 1.78/1.99 inference(scs_inference,[],[227,122,112,36])).
% 1.78/1.99 cnf(240,plain,
% 1.78/1.99 (~E(f5(a7,x2401),f5(a1,a1))),
% 1.78/1.99 inference(scs_inference,[],[195,33])).
% 1.78/1.99 cnf(244,plain,
% 1.78/1.99 (~E(f5(f5(x2441,x2442),a10),f5(a6,a6))),
% 1.78/1.99 inference(scs_inference,[],[50,235,15])).
% 1.78/1.99 cnf(246,plain,
% 1.78/1.99 (~E(f11(a7),f5(a1,x2461))),
% 1.78/1.99 inference(scs_inference,[],[50,235,195,15,26])).
% 1.78/1.99 cnf(248,plain,
% 1.78/1.99 (~E(f5(a6,a6),f5(a9,x2481))),
% 1.78/1.99 inference(scs_inference,[],[56,50,235,195,15,26,2])).
% 1.78/1.99 cnf(255,plain,
% 1.78/1.99 (E(f5(x2551,x2552),f5(x2552,x2551))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(267,plain,
% 1.78/1.99 (~P3(x2671,f5(a9,a9))+~E(x2671,a6)+E(f4(a1,a1,f5(a7,x2672)),a1)),
% 1.78/1.99 inference(scs_inference,[],[54,56,240,192,19,255,3,37,30,39,25,34,12])).
% 1.78/1.99 cnf(279,plain,
% 1.78/1.99 (~E(f11(a2),f5(a7,x2791))),
% 1.78/1.99 inference(scs_inference,[],[73,26])).
% 1.78/1.99 cnf(281,plain,
% 1.78/1.99 (~E(f5(a6,a6),f5(f5(x2811,x2812),a10))),
% 1.78/1.99 inference(scs_inference,[],[244,73,26,2])).
% 1.78/1.99 cnf(303,plain,
% 1.78/1.99 (~E(f5(a6,x3031),f5(a10,a10))),
% 1.78/1.99 inference(scs_inference,[],[114,33])).
% 1.78/1.99 cnf(305,plain,
% 1.78/1.99 (P3(f3(a7),x3051)+~E(a7,x3051)),
% 1.78/1.99 inference(scs_inference,[],[114,189,33,13])).
% 1.78/1.99 cnf(309,plain,
% 1.78/1.99 (E(f5(a6,a6),a1)+~P2(f5(a6,a6),f5(a9,a9))),
% 1.78/1.99 inference(scs_inference,[],[248,160,36])).
% 1.78/1.99 cnf(325,plain,
% 1.78/1.99 (E(f5(x3251,x3252),f5(x3252,x3251))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(328,plain,
% 1.78/1.99 (P3(a6,a1)+~P2(f5(a6,a6),f5(a9,a9))),
% 1.78/1.99 inference(scs_inference,[],[50,281,248,160,19,325,36,14,3,2,29,25,27,33])).
% 1.78/1.99 cnf(336,plain,
% 1.78/1.99 (~P3(f11(a7),f5(f5(a1,x3361),f5(a1,x3361)))),
% 1.78/1.99 inference(scs_inference,[],[246,19,34])).
% 1.78/1.99 cnf(342,plain,
% 1.78/1.99 (~E(f5(a9,a9),f5(a6,f5(x3421,x3422)))),
% 1.78/1.99 inference(scs_inference,[],[279,233,18,19,34,14])).
% 1.78/1.99 cnf(344,plain,
% 1.78/1.99 (~E(a7,a2)),
% 1.78/1.99 inference(scs_inference,[],[73,2])).
% 1.78/1.99 cnf(345,plain,
% 1.78/1.99 (~E(f11(a7),f5(a2,x3451))),
% 1.78/1.99 inference(scs_inference,[],[73,2,26])).
% 1.78/1.99 cnf(347,plain,
% 1.78/1.99 (~E(f5(a7,x3471),f5(a2,a2))),
% 1.78/1.99 inference(scs_inference,[],[344,33])).
% 1.78/1.99 cnf(349,plain,
% 1.78/1.99 (~E(f5(a1,x3491),f11(a7))),
% 1.78/1.99 inference(scs_inference,[],[71,336,344,33,12])).
% 1.78/1.99 cnf(352,plain,
% 1.78/1.99 (P3(f4(a10,a10,f5(a6,x3521)),f5(a6,x3521))+E(f4(a10,a10,f5(a6,x3521)),a10)),
% 1.78/1.99 inference(scs_inference,[],[71,336,344,303,33,12,37])).
% 1.78/1.99 cnf(354,plain,
% 1.78/1.99 (~P2(f5(a1,f5(x3541,x3542)),f5(a7,a7))),
% 1.78/1.99 inference(scs_inference,[],[71,336,344,303,120,122,33,12,37,36])).
% 1.78/1.99 cnf(368,plain,
% 1.78/1.99 (~P2(f5(f5(x3681,x3682),a1),f5(a7,a7))),
% 1.78/1.99 inference(scs_inference,[],[354,19,14])).
% 1.78/1.99 cnf(369,plain,
% 1.78/1.99 (E(f5(x3691,x3692),f5(x3692,x3691))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(372,plain,
% 1.78/1.99 (~P3(f5(f5(x3721,x3722),x3723),f5(a1,a1))),
% 1.78/1.99 inference(scs_inference,[],[69,354,19,369,14,31,34])).
% 1.78/1.99 cnf(382,plain,
% 1.78/1.99 (~P3(f5(x3821,f5(x3822,x3823)),f5(a1,a1))),
% 1.78/1.99 inference(scs_inference,[],[372,342,19,38,12])).
% 1.78/1.99 cnf(397,plain,
% 1.78/1.99 (P3(a6,a1)+~E(f5(a6,a6),a1)),
% 1.78/1.99 inference(scs_inference,[],[328,29])).
% 1.78/1.99 cnf(398,plain,
% 1.78/1.99 (~E(f5(a2,x3981),f11(a7))),
% 1.78/1.99 inference(scs_inference,[],[345,2])).
% 1.78/1.99 cnf(399,plain,
% 1.78/1.99 (~E(f5(a6,a6),a1)),
% 1.78/1.99 inference(scs_inference,[],[397,25])).
% 1.78/1.99 cnf(400,plain,
% 1.78/1.99 (~P2(f5(a6,a6),f5(a9,a9))),
% 1.78/1.99 inference(scs_inference,[],[399,309])).
% 1.78/1.99 cnf(403,plain,
% 1.78/1.99 (~P2(f5(a2,f5(x4031,a1)),f5(a7,a7))),
% 1.78/1.99 inference(scs_inference,[],[398,399,184,115,26,36])).
% 1.78/1.99 cnf(408,plain,
% 1.78/1.99 (P3(f3(f5(a6,a6)),f5(a6,a6))),
% 1.78/1.99 inference(scs_inference,[],[398,399,184,115,26,36,24])).
% 1.78/1.99 cnf(410,plain,
% 1.78/1.99 (~E(f3(f5(a6,a6)),a10)),
% 1.78/1.99 inference(scs_inference,[],[398,399,184,115,26,36,24,127])).
% 1.78/1.99 cnf(415,plain,
% 1.78/1.99 (~E(f5(f5(a6,a6),x4151),f5(a1,a1))),
% 1.78/1.99 inference(scs_inference,[],[398,399,347,184,115,26,36,24,127,30,37,33])).
% 1.78/1.99 cnf(428,plain,
% 1.78/1.99 (E(f5(a6,a8),a1)),
% 1.78/1.99 inference(scs_inference,[],[125,173,2])).
% 1.78/1.99 cnf(430,plain,
% 1.78/1.99 (E(f5(x4301,f5(a6,a8)),f5(x4301,a1))),
% 1.78/1.99 inference(scs_inference,[],[408,428,52,5])).
% 1.78/1.99 cnf(431,plain,
% 1.78/1.99 (P2(f5(a6,a8),f5(x4311,x4312))),
% 1.78/1.99 inference(scs_inference,[],[408,428,52,5,29])).
% 1.78/1.99 cnf(433,plain,
% 1.78/1.99 (~P3(x4331,f5(a6,a8))),
% 1.78/1.99 inference(scs_inference,[],[408,428,52,5,29,25])).
% 1.78/1.99 cnf(437,plain,
% 1.78/1.99 (P2(a1,f5(a10,a9))),
% 1.78/1.99 inference(scs_inference,[],[408,428,40,52,5,29,25,27,14])).
% 1.78/1.99 cnf(438,plain,
% 1.78/1.99 (E(f5(a8,a6),a1)),
% 1.78/1.99 inference(scs_inference,[],[408,428,40,19,52,5,29,25,27,14,3])).
% 1.78/1.99 cnf(439,plain,
% 1.78/1.99 (E(f5(x4391,x4392),f5(x4392,x4391))),
% 1.78/1.99 inference(rename_variables,[],[19])).
% 1.78/1.99 cnf(440,plain,
% 1.78/1.99 (~E(f5(a1,a1),f5(f5(a6,a6),x4401))),
% 1.78/1.99 inference(scs_inference,[],[408,415,428,40,19,52,5,29,25,27,14,3,2])).
% 1.78/1.99 cnf(441,plain,
% 1.78/1.99 (E(f3(f5(a6,a8)),f3(a1))),
% 1.78/1.99 inference(scs_inference,[],[408,415,428,40,19,52,5,29,25,27,14,3,2,10])).
% 1.78/1.99 cnf(442,plain,
% 1.78/1.99 (E(f11(f5(a6,a8)),f11(a1))),
% 1.78/1.99 inference(scs_inference,[],[408,415,428,40,19,52,5,29,25,27,14,3,2,10,9])).
% 1.78/2.00 cnf(443,plain,
% 1.78/2.00 (E(f4(x4431,x4432,f5(a6,a8)),f4(x4431,x4432,a1))),
% 1.78/2.00 inference(scs_inference,[],[408,415,428,40,19,52,5,29,25,27,14,3,2,10,9,8])).
% 1.78/2.00 cnf(444,plain,
% 1.78/2.00 (E(f4(x4441,f5(a6,a8),x4442),f4(x4441,a1,x4442))),
% 1.78/2.00 inference(scs_inference,[],[408,415,428,40,19,52,5,29,25,27,14,3,2,10,9,8,7])).
% 1.78/2.00 cnf(445,plain,
% 1.78/2.00 (E(f4(f5(a6,a8),x4451,x4452),f4(a1,x4451,x4452))),
% 1.78/2.00 inference(scs_inference,[],[408,415,428,40,19,52,5,29,25,27,14,3,2,10,9,8,7,6])).
% 1.78/2.00 cnf(446,plain,
% 1.78/2.00 (P2(f11(f5(a6,a8)),f5(a1,x4461))),
% 1.78/2.00 inference(scs_inference,[],[408,415,428,40,19,52,5,29,25,27,14,3,2,10,9,8,7,6,32])).
% 1.78/2.00 cnf(451,plain,
% 1.78/2.00 (E(f5(f5(a6,a8),x4511),f5(a1,x4511))),
% 1.78/2.00 inference(scs_inference,[],[408,415,428,40,19,52,5,29,25,27,14,3,2,10,9,8,7,6,32,35,11,4])).
% 1.78/2.00 cnf(456,plain,
% 1.78/2.00 (~P3(f5(a6,a8),f5(a8,a6))),
% 1.78/2.00 inference(scs_inference,[],[408,415,428,40,18,19,439,52,5,29,25,27,14,3,2,10,9,8,7,6,32,35,11,4,28,15,13])).
% 1.78/2.00 cnf(457,plain,
% 1.78/2.00 (E(f5(x4571,x4572),f5(x4572,x4571))),
% 1.78/2.00 inference(rename_variables,[],[19])).
% 1.78/2.00 cnf(461,plain,
% 1.78/2.00 (~E(f5(a6,a8),f5(x4611,f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[408,415,428,349,40,18,19,439,457,52,5,29,25,27,14,3,2,10,9,8,7,6,32,35,11,4,28,15,13,34,60])).
% 1.78/2.00 cnf(463,plain,
% 1.78/2.00 (~E(f5(a6,a8),f5(f5(a8,a6),x4631))),
% 1.78/2.00 inference(scs_inference,[],[408,415,428,349,40,18,19,439,457,52,5,29,25,27,14,3,2,10,9,8,7,6,32,35,11,4,28,15,13,34,60,58])).
% 1.78/2.00 cnf(469,plain,
% 1.78/2.00 (E(f4(a10,a10,f5(a6,a8)),a10)),
% 1.78/2.00 inference(scs_inference,[],[433,352])).
% 1.78/2.00 cnf(470,plain,
% 1.78/2.00 (~P3(x4701,f5(a6,a8))),
% 1.78/2.00 inference(rename_variables,[],[433])).
% 1.78/2.00 cnf(473,plain,
% 1.78/2.00 (~P3(x4731,f5(a6,a8))),
% 1.78/2.00 inference(rename_variables,[],[433])).
% 1.78/2.00 cnf(474,plain,
% 1.78/2.00 (P2(f11(f5(a6,a8)),f5(x4741,a1))),
% 1.78/2.00 inference(scs_inference,[],[433,470,442,352,305,31])).
% 1.78/2.00 cnf(476,plain,
% 1.78/2.00 (~E(a8,f5(a8,a6))),
% 1.78/2.00 inference(scs_inference,[],[433,470,461,442,352,305,31,5])).
% 1.78/2.00 cnf(478,plain,
% 1.78/2.00 (~P3(f4(a10,a10,f5(a6,a8)),f5(a6,a6))),
% 1.78/2.00 inference(scs_inference,[],[433,470,461,442,352,305,31,5,127])).
% 1.78/2.00 cnf(479,plain,
% 1.78/2.00 (~E(a6,f5(a8,a6))),
% 1.78/2.00 inference(scs_inference,[],[433,470,463,461,442,352,305,31,5,127,4])).
% 1.78/2.00 cnf(480,plain,
% 1.78/2.00 (~E(f5(a6,a8),f5(f5(a8,a6),x4801))),
% 1.78/2.00 inference(rename_variables,[],[463])).
% 1.78/2.00 cnf(482,plain,
% 1.78/2.00 (E(f5(x4821,x4822),f5(x4822,x4821))),
% 1.78/2.00 inference(rename_variables,[],[19])).
% 1.78/2.00 cnf(483,plain,
% 1.78/2.00 (P3(f5(a6,a8),f5(x4831,a1))),
% 1.78/2.00 inference(scs_inference,[],[96,433,470,463,461,430,442,437,19,352,305,31,5,127,4,15,13])).
% 1.78/2.00 cnf(486,plain,
% 1.78/2.00 (~E(f5(a6,a8),f5(a6,a6))),
% 1.78/2.00 inference(scs_inference,[],[96,431,433,470,463,461,430,442,437,400,19,352,305,31,5,127,4,15,13,14])).
% 1.78/2.00 cnf(489,plain,
% 1.78/2.00 (E(f5(x4891,x4892),f5(x4892,x4891))),
% 1.78/2.00 inference(rename_variables,[],[19])).
% 1.78/2.00 cnf(491,plain,
% 1.78/2.00 (E(f5(f5(a6,a8),x4911),f5(a1,x4911))),
% 1.78/2.00 inference(rename_variables,[],[451])).
% 1.78/2.00 cnf(493,plain,
% 1.78/2.00 (E(a1,f5(a8,a6))),
% 1.78/2.00 inference(scs_inference,[],[96,90,431,433,470,463,461,456,438,430,451,442,437,400,19,482,352,305,31,5,127,4,15,13,14,12,3,2])).
% 1.78/2.00 cnf(494,plain,
% 1.78/2.00 (E(f4(a9,a9,f5(a6,a8)),a9)),
% 1.78/2.00 inference(scs_inference,[],[96,90,431,433,470,473,463,461,456,438,430,451,442,437,400,19,482,352,305,31,5,127,4,15,13,14,12,3,2,161])).
% 1.78/2.00 cnf(495,plain,
% 1.78/2.00 (~P3(x4951,f5(a6,a8))),
% 1.78/2.00 inference(rename_variables,[],[433])).
% 1.78/2.00 cnf(497,plain,
% 1.78/2.00 (~P3(f4(a9,a9,f5(a6,a8)),f5(a6,a6))),
% 1.78/2.00 inference(scs_inference,[],[96,90,431,433,470,473,463,461,456,438,430,451,442,437,400,19,482,352,305,31,5,127,4,15,13,14,12,3,2,161,52])).
% 1.78/2.00 cnf(498,plain,
% 1.78/2.00 (~P3(x4981,f5(a8,a6))),
% 1.78/2.00 inference(scs_inference,[],[96,90,431,433,470,473,463,461,456,438,430,451,442,437,400,19,482,352,305,31,5,127,4,15,13,14,12,3,2,161,52,25])).
% 1.78/2.00 cnf(500,plain,
% 1.78/2.00 (P3(f5(a8,a6),f5(a1,x5001))),
% 1.78/2.00 inference(scs_inference,[],[96,90,431,433,470,473,463,461,456,438,430,451,442,437,400,19,482,489,352,305,31,5,127,4,15,13,14,12,3,2,161,52,25,27])).
% 1.78/2.00 cnf(501,plain,
% 1.78/2.00 (E(f5(x5011,x5012),f5(x5012,x5011))),
% 1.78/2.00 inference(rename_variables,[],[19])).
% 1.78/2.00 cnf(509,plain,
% 1.78/2.00 (~P3(a7,f5(f5(a6,a8),a2))),
% 1.78/2.00 inference(scs_inference,[],[96,90,431,433,470,473,495,463,480,461,456,438,430,451,491,442,437,400,344,195,19,482,489,501,352,305,31,5,127,4,15,13,14,12,3,2,161,52,25,27,37,28,34])).
% 1.78/2.00 cnf(515,plain,
% 1.78/2.00 (E(f5(x5151,a1),f5(x5151,f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[493,5])).
% 1.78/2.00 cnf(516,plain,
% 1.78/2.00 (~E(f5(x5161,a1),a1)),
% 1.78/2.00 inference(scs_inference,[],[483,493,5,25])).
% 1.78/2.00 cnf(518,plain,
% 1.78/2.00 (~E(f5(a8,a6),f5(x5181,f4(x5182,x5183,a1)))),
% 1.78/2.00 inference(scs_inference,[],[498,443,483,493,5,25,27])).
% 1.78/2.00 cnf(519,plain,
% 1.78/2.00 (~P3(x5191,f5(a8,a6))),
% 1.78/2.00 inference(rename_variables,[],[498])).
% 1.78/2.00 cnf(521,plain,
% 1.78/2.00 (~E(f5(a8,a6),f5(f4(x5211,x5212,a1),x5213))),
% 1.78/2.00 inference(scs_inference,[],[498,519,443,483,493,5,25,27,28])).
% 1.78/2.00 cnf(522,plain,
% 1.78/2.00 (~P3(x5221,f5(a8,a6))),
% 1.78/2.00 inference(rename_variables,[],[498])).
% 1.78/2.00 cnf(524,plain,
% 1.78/2.00 (E(f5(a1,x5241),f5(f5(a8,a6),x5241))),
% 1.78/2.00 inference(scs_inference,[],[498,519,443,483,493,5,25,27,28,4])).
% 1.78/2.00 cnf(529,plain,
% 1.78/2.00 (~E(f5(x5291,f5(x5292,x5293)),x5293)),
% 1.78/2.00 inference(rename_variables,[],[115])).
% 1.78/2.00 cnf(533,plain,
% 1.78/2.00 (P3(a1,f5(x5331,a1))),
% 1.78/2.00 inference(scs_inference,[],[87,115,498,519,522,443,483,493,403,428,19,5,25,27,28,4,13,34,14,12])).
% 1.78/2.00 cnf(536,plain,
% 1.78/2.00 (P3(f5(a6,a8),f5(a1,x5361))),
% 1.78/2.00 inference(scs_inference,[],[87,114,115,529,498,519,522,443,483,493,469,403,428,19,5,25,27,28,4,13,34,14,12,3,2,58])).
% 1.78/2.00 cnf(547,plain,
% 1.78/2.00 (P2(f5(x5471,a1),f5(x5471,f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[515,433,58,35])).
% 1.78/2.00 cnf(553,plain,
% 1.78/2.00 (~E(f4(a10,a10,f5(a6,a8)),a6)),
% 1.78/2.00 inference(scs_inference,[],[110,486,478,515,433,19,58,35,5,27,28])).
% 1.78/2.00 cnf(554,plain,
% 1.78/2.00 (E(f5(x5541,x5542),f5(x5542,x5541))),
% 1.78/2.00 inference(rename_variables,[],[19])).
% 1.78/2.00 cnf(556,plain,
% 1.78/2.00 (~E(a1,f5(a6,a6))),
% 1.78/2.00 inference(scs_inference,[],[110,486,440,478,515,433,19,58,35,5,27,28,4])).
% 1.78/2.00 cnf(558,plain,
% 1.78/2.00 (~P3(a7,f5(a2,f5(a6,a8)))),
% 1.78/2.00 inference(scs_inference,[],[110,486,440,478,515,509,433,19,554,58,35,5,27,28,4,13])).
% 1.78/2.00 cnf(560,plain,
% 1.78/2.00 (P2(f4(x5601,a1,x5602),f4(x5601,f5(a6,a8),x5602))),
% 1.78/2.00 inference(scs_inference,[],[110,486,440,478,444,515,509,433,18,19,554,58,35,5,27,28,4,13,14])).
% 1.78/2.00 cnf(562,plain,
% 1.78/2.00 (E(f4(f5(a6,a8),f5(a6,a8),x5621),f4(a1,a1,x5621))),
% 1.78/2.00 inference(scs_inference,[],[110,486,440,478,444,445,515,509,433,18,19,554,58,35,5,27,28,4,13,14,3])).
% 1.78/2.00 cnf(563,plain,
% 1.78/2.00 (E(f4(x5631,f5(a6,a8),x5632),f4(x5631,a1,x5632))),
% 1.78/2.00 inference(rename_variables,[],[444])).
% 1.78/2.00 cnf(565,plain,
% 1.78/2.00 (E(f4(x5651,a1,x5652),f4(x5651,f5(a6,a8),x5652))),
% 1.78/2.00 inference(scs_inference,[],[110,486,440,478,444,563,445,515,509,433,18,19,554,58,35,5,27,28,4,13,14,3,2])).
% 1.78/2.00 cnf(566,plain,
% 1.78/2.00 (P3(f3(f5(x5661,a1)),f5(x5661,a1))),
% 1.78/2.00 inference(scs_inference,[],[110,486,440,478,444,563,445,515,509,516,433,18,19,554,58,35,5,27,28,4,13,14,3,2,24])).
% 1.78/2.00 cnf(568,plain,
% 1.78/2.00 (~E(f5(a1,x5681),a1)),
% 1.78/2.00 inference(scs_inference,[],[110,486,440,478,444,563,445,515,500,509,516,433,18,19,554,58,35,5,27,28,4,13,14,3,2,24,25])).
% 1.78/2.00 cnf(583,plain,
% 1.78/2.00 (E(f5(x5831,f5(a8,a6)),f5(x5831,a1))),
% 1.78/2.00 inference(scs_inference,[],[438,5])).
% 1.78/2.00 cnf(584,plain,
% 1.78/2.00 (P3(a1,f5(a1,x5841))),
% 1.78/2.00 inference(scs_inference,[],[524,493,438,5,28])).
% 1.78/2.00 cnf(586,plain,
% 1.78/2.00 (E(f5(f5(a8,a6),x5861),f5(a1,x5861))),
% 1.78/2.00 inference(scs_inference,[],[524,493,438,5,28,4])).
% 1.78/2.00 cnf(587,plain,
% 1.78/2.00 (P2(f4(f5(a6,a8),a1,x5871),f4(a1,a1,x5871))),
% 1.78/2.00 inference(scs_inference,[],[560,562,524,493,438,5,28,4,15])).
% 1.78/2.00 cnf(593,plain,
% 1.78/2.00 (~E(f5(a6,a8),a7)),
% 1.78/2.00 inference(scs_inference,[],[110,96,560,446,562,558,442,524,493,438,5,28,4,15,13,14,12])).
% 1.78/2.00 cnf(595,plain,
% 1.78/2.00 (~E(f4(a10,a10,a1),a6)),
% 1.78/2.00 inference(scs_inference,[],[110,96,560,446,562,553,558,442,524,443,493,438,5,28,4,15,13,14,12,3])).
% 1.78/2.00 cnf(598,plain,
% 1.78/2.00 (E(f3(a1),f3(f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[110,112,96,560,446,562,553,558,442,524,443,493,438,5,28,4,15,13,14,12,3,2,10])).
% 1.78/2.00 cnf(599,plain,
% 1.78/2.00 (E(f11(a1),f11(f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[110,112,96,560,446,562,553,558,442,524,443,493,438,5,28,4,15,13,14,12,3,2,10,9])).
% 1.78/2.00 cnf(600,plain,
% 1.78/2.00 (E(f4(x6001,x6002,a1),f4(x6001,x6002,f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[110,112,96,560,446,562,553,558,442,524,443,493,438,5,28,4,15,13,14,12,3,2,10,9,8])).
% 1.78/2.00 cnf(601,plain,
% 1.78/2.00 (E(f4(a1,x6011,x6012),f4(f5(a8,a6),x6011,x6012))),
% 1.78/2.00 inference(scs_inference,[],[110,112,96,560,446,562,553,558,442,524,443,493,438,5,28,4,15,13,14,12,3,2,10,9,8,6])).
% 1.78/2.00 cnf(602,plain,
% 1.78/2.00 (~E(f5(a8,a6),f5(x6021,f5(x6022,x6023)))),
% 1.78/2.00 inference(scs_inference,[],[110,112,96,560,446,562,553,558,498,442,524,443,493,438,5,28,4,15,13,14,12,3,2,10,9,8,6,60])).
% 1.78/2.00 cnf(605,plain,
% 1.78/2.00 (E(f4(x6051,a1,x6052),f4(x6051,f5(a8,a6),x6052))),
% 1.78/2.00 inference(scs_inference,[],[110,112,96,560,446,562,553,558,498,442,524,443,493,438,5,28,4,15,13,14,12,3,2,10,9,8,6,60,7])).
% 1.78/2.00 cnf(608,plain,
% 1.78/2.00 (~P3(f5(a1,x6081),a1)),
% 1.78/2.00 inference(scs_inference,[],[110,112,96,560,446,562,553,558,498,442,524,443,493,438,5,28,4,15,13,14,12,3,2,10,9,8,6,60,7,32,30])).
% 1.78/2.00 cnf(610,plain,
% 1.78/2.00 (P3(f4(a9,a9,f5(a6,a8)),f5(a1,a9))),
% 1.78/2.00 inference(scs_inference,[],[110,112,96,560,446,562,553,558,494,498,442,524,443,493,438,5,28,4,15,13,14,12,3,2,10,9,8,6,60,7,32,30,27])).
% 1.78/2.00 cnf(611,plain,
% 1.78/2.00 (E(f5(a1,x6111),f5(f5(a8,a6),x6111))),
% 1.78/2.00 inference(rename_variables,[],[524])).
% 1.78/2.00 cnf(613,plain,
% 1.78/2.00 (~P3(a6,f5(a1,a10))),
% 1.78/2.00 inference(scs_inference,[],[110,112,96,114,560,446,562,479,553,558,494,498,442,524,611,443,493,438,5,28,4,15,13,14,12,3,2,10,9,8,6,60,7,32,30,27,34])).
% 1.78/2.00 cnf(624,plain,
% 1.78/2.00 (~E(f11(a9),a1)),
% 1.78/2.00 inference(scs_inference,[],[93,602,610,430,30,5,27])).
% 1.78/2.00 cnf(628,plain,
% 1.78/2.00 (~E(f5(a8,a6),f5(f5(x6281,a1),x6282))),
% 1.78/2.00 inference(scs_inference,[],[93,110,602,583,610,430,30,5,27,28])).
% 1.78/2.00 cnf(629,plain,
% 1.78/2.00 (E(f5(x6291,f5(a8,a6)),f5(x6291,a1))),
% 1.78/2.00 inference(rename_variables,[],[583])).
% 1.78/2.00 cnf(634,plain,
% 1.78/2.00 (~E(f5(f5(x6341,x6342),f5(a8,a6)),f5(a7,a7))),
% 1.78/2.00 inference(scs_inference,[],[93,110,602,521,547,583,610,368,430,30,5,27,28,4,15])).
% 1.78/2.00 cnf(638,plain,
% 1.78/2.00 (~P2(f5(f5(x6381,x6382),f5(a8,a6)),f5(a7,a7))),
% 1.78/2.00 inference(scs_inference,[],[93,110,602,521,547,566,583,629,610,368,430,433,30,5,27,28,4,15,13,14])).
% 1.78/2.00 cnf(640,plain,
% 1.78/2.00 (P3(a9,f5(a1,a9))),
% 1.78/2.00 inference(scs_inference,[],[93,110,602,521,547,566,583,629,610,368,430,494,433,30,5,27,28,4,15,13,14,12])).
% 1.78/2.00 cnf(641,plain,
% 1.78/2.00 (~E(f5(x6411,f5(x6412,x6413)),f5(a8,a6))),
% 1.78/2.00 inference(scs_inference,[],[93,122,110,602,521,547,566,583,629,610,368,430,494,433,438,30,5,27,28,4,15,13,14,12,3])).
% 1.78/2.00 cnf(642,plain,
% 1.78/2.00 (E(f4(x6421,x6422,f5(a8,a6)),f4(x6421,x6422,a1))),
% 1.78/2.00 inference(scs_inference,[],[93,122,110,602,521,600,547,566,583,629,610,368,430,494,433,438,30,5,27,28,4,15,13,14,12,3,2])).
% 1.78/2.00 cnf(643,plain,
% 1.78/2.00 (~E(a7,f5(a8,a6))),
% 1.78/2.00 inference(scs_inference,[],[93,122,110,602,521,600,547,566,583,629,610,368,430,494,433,498,438,30,5,27,28,4,15,13,14,12,3,2,305])).
% 1.78/2.00 cnf(645,plain,
% 1.78/2.00 (E(f3(f5(a6,a6)),a6)),
% 1.78/2.00 inference(scs_inference,[],[93,122,110,602,521,600,547,566,583,629,610,368,430,494,408,433,498,438,19,30,5,27,28,4,15,13,14,12,3,2,305,34])).
% 1.78/2.00 cnf(650,plain,
% 1.78/2.00 (~E(f5(a8,a6),f5(f5(x6501,x6502),x6503))),
% 1.78/2.00 inference(scs_inference,[],[638,498,31,58])).
% 1.78/2.00 cnf(657,plain,
% 1.78/2.00 (~P3(f5(a1,a9),a9)),
% 1.78/2.00 inference(scs_inference,[],[638,497,586,640,494,498,31,58,35,27,30])).
% 1.78/2.00 cnf(660,plain,
% 1.78/2.00 (E(f5(x6601,x6602),f5(x6602,x6601))),
% 1.78/2.00 inference(rename_variables,[],[19])).
% 1.78/2.00 cnf(664,plain,
% 1.78/2.00 (~P3(f11(a10),f5(f5(a6,x6641),f5(a6,x6641)))),
% 1.78/2.00 inference(scs_inference,[],[125,638,497,586,613,640,494,498,19,660,31,58,35,27,30,28,13,34])).
% 1.78/2.00 cnf(667,plain,
% 1.78/2.00 (P2(f4(f5(a6,a8),f5(a6,a8),x6671),f4(a1,a1,x6671))),
% 1.78/2.00 inference(scs_inference,[],[125,638,497,565,586,587,613,640,494,498,19,660,31,58,35,27,30,28,13,34,14])).
% 1.78/2.00 cnf(668,plain,
% 1.78/2.00 (E(f4(x6681,a1,x6682),f4(x6681,f5(a6,a8),x6682))),
% 1.78/2.00 inference(rename_variables,[],[565])).
% 1.78/2.00 cnf(672,plain,
% 1.78/2.00 (E(f4(a1,a1,x6721),f4(f5(a8,a6),f5(a6,a8),x6721))),
% 1.78/2.00 inference(scs_inference,[],[125,110,638,497,565,668,601,586,536,587,613,640,494,498,19,660,31,58,35,27,30,28,13,34,14,12,3])).
% 1.78/2.00 cnf(682,plain,
% 1.78/2.00 (~E(f5(a8,x6821),f5(f5(a8,a6),f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[125,110,638,641,497,628,565,668,601,586,536,645,587,476,613,640,494,498,19,660,31,58,35,27,30,28,13,34,14,12,3,2,267,5,4,33])).
% 1.78/2.00 cnf(684,plain,
% 1.78/2.00 (P3(a1,f5(f5(a6,a8),f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[451,493,27])).
% 1.78/2.00 cnf(685,plain,
% 1.78/2.00 (E(f5(f5(a6,a8),x6851),f5(a1,x6851))),
% 1.78/2.00 inference(rename_variables,[],[451])).
% 1.78/2.00 cnf(687,plain,
% 1.78/2.00 (~P3(a6,f5(a10,a10))),
% 1.78/2.00 inference(scs_inference,[],[114,451,493,19,27,34])).
% 1.78/2.00 cnf(691,plain,
% 1.78/2.00 (~P3(f5(f5(a6,a8),a9),a9)),
% 1.78/2.00 inference(scs_inference,[],[114,474,657,451,685,442,493,19,27,34,14,12])).
% 1.78/2.00 cnf(695,plain,
% 1.78/2.00 (E(f11(f5(a8,a6)),f11(a1))),
% 1.78/2.00 inference(scs_inference,[],[114,599,474,595,657,600,451,685,442,493,19,27,34,14,12,3,2])).
% 1.78/2.00 cnf(707,plain,
% 1.78/2.00 (P3(a9,f5(f5(a8,a6),a9))),
% 1.78/2.00 inference(scs_inference,[],[114,599,474,556,568,595,657,600,583,640,451,685,442,524,493,19,27,34,14,12,3,2,24,31,26,30,28,13])).
% 1.78/2.00 cnf(718,plain,
% 1.78/2.00 (~P3(a7,f5(f5(a8,a6),f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[643,707,586,195,30,34])).
% 1.78/2.00 cnf(724,plain,
% 1.78/2.00 (P3(a6,f5(a6,a6))),
% 1.78/2.00 inference(scs_inference,[],[643,707,228,645,586,408,524,195,30,34,14,12])).
% 1.78/2.00 cnf(727,plain,
% 1.78/2.00 (~E(f5(a7,a7),f5(a1,x7271))),
% 1.78/2.00 inference(scs_inference,[],[120,682,643,707,228,645,586,515,408,524,195,30,34,14,12,3,2])).
% 1.78/2.00 cnf(728,plain,
% 1.78/2.00 (E(f3(f5(a8,a6)),f3(a1))),
% 1.78/2.00 inference(scs_inference,[],[120,682,643,707,228,645,586,515,408,524,195,438,30,34,14,12,3,2,10])).
% 1.78/2.00 cnf(729,plain,
% 1.78/2.00 (E(f4(f5(a8,a6),x7291,x7292),f4(a1,x7291,x7292))),
% 1.78/2.00 inference(scs_inference,[],[120,682,643,707,228,645,586,515,408,524,195,438,30,34,14,12,3,2,10,6])).
% 1.78/2.00 cnf(730,plain,
% 1.78/2.00 (~E(f5(a6,a8),f5(x7301,f5(x7302,x7303)))),
% 1.78/2.00 inference(scs_inference,[],[120,682,643,707,228,645,586,515,408,433,524,195,438,30,34,14,12,3,2,10,6,60])).
% 1.78/2.00 cnf(744,plain,
% 1.78/2.00 (~P3(a7,f5(f5(a8,a6),a1))),
% 1.78/2.00 inference(scs_inference,[],[724,718,515,30,13])).
% 1.78/2.00 cnf(747,plain,
% 1.78/2.00 (E(f4(f5(a8,a6),x7471,x7472),f4(a1,x7471,x7472))),
% 1.78/2.00 inference(rename_variables,[],[729])).
% 1.78/2.00 cnf(749,plain,
% 1.78/2.00 (E(f4(f5(a8,a6),x7491,f5(a8,a6)),f4(a1,x7491,a1))),
% 1.78/2.00 inference(scs_inference,[],[642,729,747,724,718,560,515,30,13,14,3])).
% 1.78/2.00 cnf(750,plain,
% 1.78/2.00 (E(f4(x7501,x7502,f5(a8,a6)),f4(x7501,x7502,a1))),
% 1.78/2.00 inference(rename_variables,[],[642])).
% 1.78/2.00 cnf(752,plain,
% 1.78/2.00 (E(f4(f5(a8,a6),f5(a6,a8),x7521),f4(a1,a1,x7521))),
% 1.78/2.00 inference(scs_inference,[],[642,729,747,672,724,718,560,515,30,13,14,3,2])).
% 1.78/2.00 cnf(756,plain,
% 1.78/2.00 (P2(f4(f5(a6,a8),f5(a6,a8),f5(a8,a6)),f4(a1,a1,a1))),
% 1.78/2.00 inference(scs_inference,[],[650,642,750,729,747,667,672,724,718,560,515,498,30,13,14,3,2,37,15])).
% 1.78/2.00 cnf(759,plain,
% 1.78/2.00 (~E(f11(a10),a1)),
% 1.78/2.00 inference(scs_inference,[],[664,430,27])).
% 1.78/2.00 cnf(769,plain,
% 1.78/2.00 (~E(f5(x7691,f5(x7692,x7693)),f5(a6,a8))),
% 1.78/2.00 inference(scs_inference,[],[112,730,756,664,382,584,445,430,19,27,14,12,3,2])).
% 1.78/2.00 cnf(791,plain,
% 1.78/2.00 (~E(f11(a10),f5(a8,a6))),
% 1.78/2.00 inference(scs_inference,[],[759,687,533,608,478,469,186,233,645,515,438,493,27,28,13,14,12,3])).
% 1.78/2.00 cnf(792,plain,
% 1.78/2.00 (E(f4(a1,x7921,a1),f4(f5(a8,a6),x7921,f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[759,687,749,533,608,478,469,186,233,645,515,438,493,27,28,13,14,12,3,2])).
% 1.78/2.00 cnf(800,plain,
% 1.78/2.00 (E(f5(x8001,f5(a6,a8)),f5(x8001,a1))),
% 1.78/2.00 inference(rename_variables,[],[430])).
% 1.78/2.00 cnf(803,plain,
% 1.78/2.00 (P3(f4(a9,a9,a1),f5(a1,a9))),
% 1.78/2.00 inference(scs_inference,[],[598,744,610,430,443,18,13,14,12])).
% 1.78/2.00 cnf(809,plain,
% 1.78/2.00 (P3(a1,f5(f5(a8,a6),f5(a6,a8)))),
% 1.78/2.00 inference(scs_inference,[],[634,752,598,744,642,610,430,800,443,18,493,13,14,12,3,2,28])).
% 1.78/2.00 cnf(812,plain,
% 1.78/2.00 (~P3(f5(a1,a9),f4(a9,a9,a1))),
% 1.78/2.00 inference(scs_inference,[],[634,752,598,744,642,610,430,800,443,18,493,13,14,12,3,2,28,30])).
% 1.78/2.00 cnf(824,plain,
% 1.78/2.00 (E(f5(a1,x8241),f5(f5(a8,a6),x8241))),
% 1.78/2.00 inference(rename_variables,[],[524])).
% 1.78/2.00 cnf(829,plain,
% 1.78/2.00 (~P3(f11(a10),f5(a1,f5(a8,a6)))),
% 1.78/2.00 inference(scs_inference,[],[136,812,791,809,524,824,58,28,30,34])).
% 1.78/2.00 cnf(851,plain,
% 1.78/2.00 (~P2(f5(f5(a6,a8),f5(x8511,x8512)),f5(a7,a7))),
% 1.78/2.00 inference(scs_inference,[],[136,803,451,354,433,28,13,14])).
% 1.78/2.00 cnf(852,plain,
% 1.78/2.00 (E(f5(f5(a6,a8),x8521),f5(a1,x8521))),
% 1.78/2.00 inference(rename_variables,[],[451])).
% 1.78/2.00 cnf(860,plain,
% 1.78/2.00 (~E(f5(x8601,x8602),a8)),
% 1.78/2.00 inference(scs_inference,[],[136,769,410,727,691,803,451,852,354,433,19,28,13,14,12,3,2,35,5])).
% 1.78/2.00 cnf(862,plain,
% 1.78/2.00 (P3(f3(f5(a6,a6)),a1)),
% 1.78/2.00 inference(scs_inference,[],[136,769,410,727,691,803,451,852,354,645,433,493,19,28,13,14,12,3,2,35,5,27])).
% 1.78/2.00 cnf(873,plain,
% 1.78/2.00 (~E(f5(a8,a6),f5(x8731,f3(a1)))),
% 1.78/2.00 inference(scs_inference,[],[851,728,862,498,35,25,27])).
% 1.78/2.00 cnf(874,plain,
% 1.78/2.00 (~P3(x8741,f5(a8,a6))),
% 1.78/2.00 inference(rename_variables,[],[498])).
% 1.78/2.00 cnf(876,plain,
% 1.78/2.00 (E(a1,f5(a6,a8))),
% 1.78/2.00 inference(scs_inference,[],[851,728,862,684,583,498,35,25,27,34])).
% 1.78/2.00 cnf(900,plain,
% 1.78/2.00 (E(f5(x9001,a1),f5(x9001,f5(a6,a8)))),
% 1.78/2.00 inference(scs_inference,[],[135,851,728,518,792,829,593,862,684,441,605,624,600,803,586,583,498,874,18,19,35,25,27,34,13,14,12,3,2,24,31,37,26,33,5])).
% 1.78/2.00 cnf(921,plain,
% 1.78/2.00 (~P3(x9211,f5(a6,a8))),
% 1.78/2.00 inference(rename_variables,[],[433])).
% 1.78/2.00 cnf(928,plain,
% 1.78/2.00 ($false),
% 1.78/2.00 inference(scs_inference,[],[133,136,873,900,860,876,695,862,433,921,35,27,5,28,4,34,13]),
% 1.78/2.00 ['proof']).
% 1.78/2.00 % SZS output end Proof
% 1.78/2.00 % Total time :1.320000s
%------------------------------------------------------------------------------