TSTP Solution File: SEU129+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU129+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n025.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 16:17:38 EDT 2023
% Result : Theorem 0.85s 0.93s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU129+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n025.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Wed Aug 23 16:45:05 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.85/0.92 %-------------------------------------------
% 0.85/0.92 % File :CSE---1.6
% 0.85/0.92 % Problem :theBenchmark
% 0.85/0.92 % Transform :cnf
% 0.85/0.92 % Format :tptp:raw
% 0.85/0.92 % Command :java -jar mcs_scs.jar %d %s
% 0.85/0.92
% 0.85/0.92 % Result :Theorem 0.290000s
% 0.85/0.92 % Output :CNFRefutation 0.290000s
% 0.85/0.92 %-------------------------------------------
% 0.85/0.93 %------------------------------------------------------------------------------
% 0.85/0.93 % File : SEU129+1 : TPTP v8.1.2. Released v3.3.0.
% 0.85/0.93 % Domain : Set theory
% 0.85/0.93 % Problem : MPTP bushy problem t26_xboole_1
% 0.85/0.93 % Version : [Urb07] axioms : Especial.
% 0.85/0.93 % English :
% 0.85/0.93
% 0.85/0.93 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.85/0.93 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.85/0.93 % Source : [Urb07]
% 0.85/0.93 % Names : bushy-t26_xboole_1 [Urb07]
% 0.85/0.93
% 0.85/0.93 % Status : Theorem
% 0.85/0.93 % Rating : 0.25 v7.5.0, 0.28 v7.4.0, 0.20 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.12 v6.2.0, 0.28 v6.1.0, 0.40 v6.0.0, 0.26 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.48 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.30 v4.0.0, 0.29 v3.7.0, 0.30 v3.5.0, 0.26 v3.4.0, 0.32 v3.3.0
% 0.85/0.93 % Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% 0.85/0.93 % Number of atoms : 27 ( 6 equ)
% 0.85/0.93 % Maximal formula atoms : 4 ( 1 avg)
% 0.85/0.93 % Number of connectives : 16 ( 5 ~; 0 |; 4 &)
% 0.85/0.93 % ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% 0.85/0.93 % Maximal formula depth : 8 ( 4 avg)
% 0.85/0.93 % Maximal term depth : 2 ( 1 avg)
% 0.85/0.93 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% 0.85/0.93 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 0.85/0.93 % Number of variables : 26 ( 24 !; 2 ?)
% 0.85/0.93 % SPC : FOF_THM_RFO_SEQ
% 0.85/0.93
% 0.85/0.93 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.85/0.93 % library, www.mizar.org
% 0.85/0.93 %------------------------------------------------------------------------------
% 0.85/0.93 fof(antisymmetry_r2_hidden,axiom,
% 0.85/0.93 ! [A,B] :
% 0.85/0.93 ( in(A,B)
% 0.85/0.93 => ~ in(B,A) ) ).
% 0.85/0.93
% 0.85/0.93 fof(commutativity_k3_xboole_0,axiom,
% 0.85/0.93 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 0.85/0.93
% 0.85/0.93 fof(d3_tarski,axiom,
% 0.85/0.93 ! [A,B] :
% 0.85/0.93 ( subset(A,B)
% 0.85/0.93 <=> ! [C] :
% 0.85/0.93 ( in(C,A)
% 0.85/0.93 => in(C,B) ) ) ).
% 0.85/0.93
% 0.85/0.93 fof(d3_xboole_0,axiom,
% 0.85/0.93 ! [A,B,C] :
% 0.85/0.93 ( C = set_intersection2(A,B)
% 0.85/0.93 <=> ! [D] :
% 0.85/0.93 ( in(D,C)
% 0.85/0.93 <=> ( in(D,A)
% 0.85/0.93 & in(D,B) ) ) ) ).
% 0.85/0.93
% 0.85/0.93 fof(dt_k1_xboole_0,axiom,
% 0.85/0.93 $true ).
% 0.85/0.93
% 0.85/0.93 fof(dt_k3_xboole_0,axiom,
% 0.85/0.93 $true ).
% 0.85/0.93
% 0.85/0.93 fof(fc1_xboole_0,axiom,
% 0.85/0.93 empty(empty_set) ).
% 0.85/0.93
% 0.85/0.93 fof(idempotence_k3_xboole_0,axiom,
% 0.85/0.93 ! [A,B] : set_intersection2(A,A) = A ).
% 0.85/0.93
% 0.85/0.93 fof(rc1_xboole_0,axiom,
% 0.85/0.93 ? [A] : empty(A) ).
% 0.85/0.93
% 0.85/0.93 fof(rc2_xboole_0,axiom,
% 0.85/0.93 ? [A] : ~ empty(A) ).
% 0.85/0.93
% 0.85/0.93 fof(reflexivity_r1_tarski,axiom,
% 0.85/0.93 ! [A,B] : subset(A,A) ).
% 0.85/0.93
% 0.85/0.93 fof(t26_xboole_1,conjecture,
% 0.85/0.93 ! [A,B,C] :
% 0.85/0.93 ( subset(A,B)
% 0.85/0.93 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 0.85/0.93
% 0.85/0.93 fof(t2_boole,axiom,
% 0.85/0.93 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 0.85/0.93
% 0.85/0.93 fof(t6_boole,axiom,
% 0.85/0.93 ! [A] :
% 0.85/0.93 ( empty(A)
% 0.85/0.93 => A = empty_set ) ).
% 0.85/0.93
% 0.85/0.93 fof(t7_boole,axiom,
% 0.85/0.93 ! [A,B] :
% 0.85/0.93 ~ ( in(A,B)
% 0.85/0.93 & empty(B) ) ).
% 0.85/0.93
% 0.85/0.93 fof(t8_boole,axiom,
% 0.85/0.93 ! [A,B] :
% 0.85/0.93 ~ ( empty(A)
% 0.85/0.93 & A != B
% 0.85/0.93 & empty(B) ) ).
% 0.85/0.93
% 0.85/0.93 %------------------------------------------------------------------------------
% 0.85/0.93 %-------------------------------------------
% 0.85/0.93 % Proof found
% 0.85/0.93 % SZS status Theorem for theBenchmark
% 0.85/0.93 % SZS output start Proof
% 0.85/0.93 %ClaNum:37(EqnAxiom:15)
% 0.85/0.93 %VarNum:99(SingletonVarNum:40)
% 0.85/0.93 %MaxLitNum:4
% 0.85/0.93 %MaxfuncDepth:1
% 0.85/0.93 %SharedTerms:13
% 0.85/0.93 %goalClause: 18 24
% 0.85/0.93 %singleGoalClaCount:2
% 0.85/0.93 [16]P1(a1)
% 0.85/0.93 [17]P1(a2)
% 0.85/0.93 [18]P2(a5,a7)
% 0.85/0.93 [23]~P1(a6)
% 0.85/0.93 [24]~P2(f8(a5,a9),f8(a7,a9))
% 0.85/0.93 [20]P2(x201,x201)
% 0.85/0.93 [19]E(f8(x191,a1),a1)
% 0.85/0.93 [21]E(f8(x211,x211),x211)
% 0.85/0.93 [22]E(f8(x221,x222),f8(x222,x221))
% 0.85/0.93 [25]~P1(x251)+E(x251,a1)
% 0.85/0.93 [27]~P1(x271)+~P3(x272,x271)
% 0.85/0.93 [28]~P3(x282,x281)+~P3(x281,x282)
% 0.85/0.93 [29]P2(x291,x292)+P3(f3(x291,x292),x291)
% 0.85/0.93 [33]P2(x331,x332)+~P3(f3(x331,x332),x332)
% 0.85/0.93 [26]~P1(x262)+~P1(x261)+E(x261,x262)
% 0.85/0.93 [30]~P2(x303,x302)+P3(x301,x302)+~P3(x301,x303)
% 0.85/0.93 [35]P3(f4(x352,x353,x351),x351)+P3(f4(x352,x353,x351),x353)+E(x351,f8(x352,x353))
% 0.85/0.93 [36]P3(f4(x362,x363,x361),x361)+P3(f4(x362,x363,x361),x362)+E(x361,f8(x362,x363))
% 0.85/0.93 [31]~P3(x311,x313)+P3(x311,x312)+~E(x313,f8(x314,x312))
% 0.85/0.93 [32]~P3(x321,x323)+P3(x321,x322)+~E(x323,f8(x322,x324))
% 0.85/0.93 [37]~P3(f4(x372,x373,x371),x371)+~P3(f4(x372,x373,x371),x373)+~P3(f4(x372,x373,x371),x372)+E(x371,f8(x372,x373))
% 0.85/0.93 [34]~P3(x341,x344)+~P3(x341,x343)+P3(x341,x342)+~E(x342,f8(x343,x344))
% 0.85/0.93 %EqnAxiom
% 0.85/0.93 [1]E(x11,x11)
% 0.85/0.93 [2]E(x22,x21)+~E(x21,x22)
% 0.85/0.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.85/0.93 [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43))
% 0.85/0.93 [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52))
% 0.85/0.93 [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64))
% 0.85/0.93 [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74))
% 0.85/0.93 [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82))
% 0.85/0.93 [9]~E(x91,x92)+E(f3(x91,x93),f3(x92,x93))
% 0.85/0.93 [10]~E(x101,x102)+E(f3(x103,x101),f3(x103,x102))
% 0.85/0.93 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 0.85/0.93 [12]P3(x122,x123)+~E(x121,x122)+~P3(x121,x123)
% 0.85/0.93 [13]P3(x133,x132)+~E(x131,x132)+~P3(x133,x131)
% 0.85/0.93 [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143)
% 0.85/0.93 [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151)
% 0.85/0.93
% 0.85/0.93 %-------------------------------------------
% 0.85/0.94 cnf(38,plain,
% 0.85/0.94 (E(x381,f8(x381,x381))),
% 0.85/0.94 inference(scs_inference,[],[21,2])).
% 0.85/0.94 cnf(39,plain,
% 0.85/0.94 (~P3(x391,a1)),
% 0.85/0.94 inference(scs_inference,[],[16,21,2,27])).
% 0.85/0.94 cnf(41,plain,
% 0.85/0.94 (P2(a1,x411)),
% 0.85/0.94 inference(scs_inference,[],[16,21,2,27,29])).
% 0.85/0.94 cnf(43,plain,
% 0.85/0.94 (P2(a5,f8(a7,a7))),
% 0.85/0.94 inference(scs_inference,[],[18,16,21,2,27,29,15])).
% 0.85/0.94 cnf(44,plain,
% 0.85/0.94 (~E(f8(a7,a9),f8(a5,a9))),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,24,21,2,27,29,15,14])).
% 0.85/0.94 cnf(46,plain,
% 0.85/0.94 (E(f8(a1,x461),a1)),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,24,21,19,22,2,27,29,15,14,3])).
% 0.85/0.94 cnf(48,plain,
% 0.85/0.94 (E(f8(x481,x482),f8(x482,x481))),
% 0.85/0.94 inference(rename_variables,[],[22])).
% 0.85/0.94 cnf(50,plain,
% 0.85/0.94 (E(f8(x501,x502),f8(x502,x501))),
% 0.85/0.94 inference(rename_variables,[],[22])).
% 0.85/0.94 cnf(55,plain,
% 0.85/0.94 (E(a2,a1)),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,17,24,21,19,22,48,50,2,27,29,15,14,3,32,31,25])).
% 0.85/0.94 cnf(57,plain,
% 0.85/0.94 (E(f3(x571,f8(a7,a7)),f3(x571,a7))),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,17,24,21,19,22,48,50,2,27,29,15,14,3,32,31,25,10])).
% 0.85/0.94 cnf(58,plain,
% 0.85/0.94 (E(f8(x581,x581),x581)),
% 0.85/0.94 inference(rename_variables,[],[21])).
% 0.85/0.94 cnf(59,plain,
% 0.85/0.94 (E(f3(f8(x591,x591),x592),f3(x591,x592))),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,17,24,21,58,19,22,48,50,2,27,29,15,14,3,32,31,25,10,9])).
% 0.85/0.94 cnf(60,plain,
% 0.85/0.94 (E(f4(x601,x602,f8(x603,x603)),f4(x601,x602,x603))),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,17,24,21,58,19,22,48,50,2,27,29,15,14,3,32,31,25,10,9,8])).
% 0.85/0.94 cnf(64,plain,
% 0.85/0.94 (E(f8(f8(x641,x641),x642),f8(x641,x642))),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,17,24,21,58,19,22,48,50,2,27,29,15,14,3,32,31,25,10,9,8,7,6,5,4])).
% 0.85/0.94 cnf(65,plain,
% 0.85/0.94 (~P3(f3(f8(a5,a9),f8(a7,a9)),f8(a7,a9))),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,17,24,21,58,19,22,48,50,2,27,29,15,14,3,32,31,25,10,9,8,7,6,5,4,33])).
% 0.85/0.94 cnf(68,plain,
% 0.85/0.94 (E(f8(x681,x681),x681)),
% 0.85/0.94 inference(rename_variables,[],[21])).
% 0.85/0.94 cnf(71,plain,
% 0.85/0.94 (~E(a1,a6)),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,17,23,24,21,58,68,19,22,48,50,2,27,29,15,14,3,32,31,25,10,9,8,7,6,5,4,33,13,12,11])).
% 0.85/0.94 cnf(72,plain,
% 0.85/0.94 (~P3(x721,a5)+P3(x721,a7)),
% 0.85/0.94 inference(scs_inference,[],[18,20,16,17,23,24,21,58,68,19,22,48,50,2,27,29,15,14,3,32,31,25,10,9,8,7,6,5,4,33,13,12,11,30])).
% 0.85/0.94 cnf(78,plain,
% 0.85/0.94 (P3(f3(f8(a5,a9),f8(a7,a9)),f8(a5,a9))),
% 0.85/0.94 inference(scs_inference,[],[24,29])).
% 0.85/0.94 cnf(82,plain,
% 0.85/0.94 (~E(f8(a5,a9),f8(a7,a9))),
% 0.85/0.94 inference(scs_inference,[],[24,65,44,29,34,2])).
% 0.85/0.94 cnf(83,plain,
% 0.85/0.94 (~P3(f8(a5,a9),f3(f8(a5,a9),f8(a7,a9)))),
% 0.85/0.94 inference(scs_inference,[],[24,65,44,29,34,2,28])).
% 0.85/0.94 cnf(85,plain,
% 0.85/0.94 (~P1(f8(a5,a9))),
% 0.85/0.94 inference(scs_inference,[],[24,65,44,29,34,2,28,27])).
% 0.85/0.94 cnf(88,plain,
% 0.85/0.94 (~P2(f8(a5,a9),a1)),
% 0.85/0.94 inference(scs_inference,[],[23,24,21,65,39,44,29,34,2,28,27,11,30])).
% 0.85/0.94 cnf(89,plain,
% 0.85/0.94 (~P3(x891,a1)),
% 0.85/0.94 inference(rename_variables,[],[39])).
% 0.85/0.94 cnf(91,plain,
% 0.85/0.94 (~E(f8(a5,a9),f8(f8(a7,a9),x911))),
% 0.85/0.94 inference(scs_inference,[],[23,24,21,65,39,44,29,34,2,28,27,11,30,32])).
% 0.85/0.94 cnf(93,plain,
% 0.85/0.94 (~E(f8(a5,a9),f8(x931,f8(a7,a9)))),
% 0.85/0.94 inference(scs_inference,[],[23,24,21,65,39,44,29,34,2,28,27,11,30,32,31])).
% 0.85/0.94 cnf(95,plain,
% 0.85/0.94 (~P3(x951,f8(x952,a1))),
% 0.85/0.94 inference(scs_inference,[],[23,19,24,21,65,39,89,44,29,34,2,28,27,11,30,32,31,13])).
% 0.85/0.94 cnf(97,plain,
% 0.85/0.94 (E(f8(x971,x972),f8(x972,x971))),
% 0.85/0.94 inference(rename_variables,[],[22])).
% 0.85/0.94 cnf(99,plain,
% 0.85/0.94 (~P2(f8(a5,a9),f8(a9,a7))),
% 0.85/0.94 inference(scs_inference,[],[23,19,22,97,24,21,65,39,89,44,29,34,2,28,27,11,30,32,31,13,3,4,15])).
% 0.85/0.94 cnf(100,plain,
% 0.85/0.94 (E(f8(x1001,x1002),f8(x1002,x1001))),
% 0.85/0.94 inference(rename_variables,[],[22])).
% 0.85/0.94 cnf(101,plain,
% 0.85/0.94 (~P2(f8(a9,a5),f8(a7,a9))),
% 0.85/0.94 inference(scs_inference,[],[23,19,22,97,100,24,21,65,39,89,44,29,34,2,28,27,11,30,32,31,13,3,4,15,14])).
% 0.85/0.94 cnf(103,plain,
% 0.85/0.94 (E(a1,f8(a1,x1031))),
% 0.85/0.94 inference(scs_inference,[],[23,19,22,97,100,24,21,65,39,89,44,29,34,2,28,27,11,30,32,31,13,3,4,15,14,36])).
% 0.85/0.94 cnf(105,plain,
% 0.85/0.94 (~P3(x1051,a1)),
% 0.85/0.94 inference(rename_variables,[],[39])).
% 0.85/0.94 cnf(107,plain,
% 0.85/0.94 (E(a1,f8(x1071,a1))),
% 0.85/0.94 inference(scs_inference,[],[23,19,22,97,100,24,21,65,39,89,105,44,29,34,2,28,27,11,30,32,31,13,3,4,15,14,36,35])).
% 0.85/0.94 cnf(113,plain,
% 0.85/0.94 (~E(a9,f8(a7,a9))),
% 0.85/0.94 inference(scs_inference,[],[23,19,22,97,100,24,21,65,39,89,105,44,29,34,2,28,27,11,30,32,31,13,3,4,15,14,36,35,37,5])).
% 0.85/0.94 cnf(116,plain,
% 0.85/0.94 (~P3(x1161,f8(x1162,a1))),
% 0.85/0.94 inference(rename_variables,[],[95])).
% 0.85/0.94 cnf(119,plain,
% 0.85/0.94 (~P3(x1191,f8(x1192,a1))),
% 0.85/0.94 inference(rename_variables,[],[95])).
% 0.85/0.94 cnf(123,plain,
% 0.85/0.94 (~P3(x1231,f8(x1232,a1))),
% 0.85/0.94 inference(rename_variables,[],[95])).
% 0.85/0.94 cnf(125,plain,
% 0.85/0.94 (E(f3(x1251,x1252),f3(f8(x1251,x1251),x1252))),
% 0.85/0.94 inference(scs_inference,[],[59,95,116,119,36,29,35,2])).
% 0.85/0.94 cnf(127,plain,
% 0.85/0.94 (P1(f8(a2,a2))),
% 0.85/0.94 inference(scs_inference,[],[38,17,59,95,116,119,36,29,35,2,5,11])).
% 0.85/0.94 cnf(128,plain,
% 0.85/0.94 (E(x1281,f8(x1281,x1281))),
% 0.85/0.94 inference(rename_variables,[],[38])).
% 0.85/0.94 cnf(129,plain,
% 0.85/0.94 (~E(f8(a5,a9),f8(x1291,a1))),
% 0.85/0.94 inference(scs_inference,[],[38,17,59,95,116,119,123,78,36,29,35,2,5,11,13])).
% 0.85/0.94 cnf(132,plain,
% 0.85/0.94 (E(x1321,f8(x1321,x1321))),
% 0.85/0.94 inference(rename_variables,[],[38])).
% 0.85/0.94 cnf(134,plain,
% 0.85/0.94 (P2(f8(x1341,x1341),x1341)),
% 0.85/0.94 inference(scs_inference,[],[38,128,132,20,17,19,59,95,116,119,123,78,36,29,35,2,5,11,13,3,4,14])).
% 0.85/0.94 cnf(135,plain,
% 0.85/0.94 (E(x1351,f8(x1351,x1351))),
% 0.85/0.94 inference(rename_variables,[],[38])).
% 0.85/0.94 cnf(136,plain,
% 0.85/0.94 (P2(x1361,f8(x1361,x1361))),
% 0.85/0.94 inference(scs_inference,[],[38,128,132,135,20,17,19,59,95,116,119,123,78,36,29,35,2,5,11,13,3,4,14,15])).
% 0.85/0.94 cnf(138,plain,
% 0.85/0.94 (~P3(x1381,a2)),
% 0.85/0.94 inference(scs_inference,[],[38,128,132,135,20,17,19,59,95,116,119,123,78,36,29,35,2,5,11,13,3,4,14,15,27])).
% 0.85/0.94 cnf(140,plain,
% 0.85/0.94 (P3(f4(a2,f8(a7,a9),f8(a5,a9)),f8(a5,a9))),
% 0.85/0.94 inference(scs_inference,[],[93,138,36])).
% 0.85/0.94 cnf(142,plain,
% 0.85/0.94 (~P3(x1421,a2)),
% 0.85/0.94 inference(rename_variables,[],[138])).
% 0.85/0.94 cnf(146,plain,
% 0.85/0.94 (P3(f4(f8(a7,a9),a2,f8(a5,a9)),f8(a5,a9))),
% 0.85/0.94 inference(scs_inference,[],[22,83,91,93,138,142,36,12,35])).
% 0.85/0.94 cnf(147,plain,
% 0.85/0.94 (~E(f8(a5,a9),f8(f8(a7,a9),x1471))),
% 0.85/0.94 inference(rename_variables,[],[91])).
% 0.85/0.94 cnf(148,plain,
% 0.85/0.94 (~P3(x1481,a2)),
% 0.85/0.94 inference(rename_variables,[],[138])).
% 0.85/0.94 cnf(150,plain,
% 0.85/0.94 (P3(f3(f8(a5,a9),f8(a9,a7)),f8(a5,a9))),
% 0.85/0.94 inference(scs_inference,[],[22,83,91,93,99,138,142,36,12,35,29])).
% 0.85/0.94 cnf(156,plain,
% 0.85/0.94 (~E(a9,a1)),
% 0.85/0.94 inference(scs_inference,[],[24,23,22,17,134,83,91,93,99,129,138,142,36,12,35,29,28,11,14,5])).
% 0.85/0.94 cnf(158,plain,
% 0.85/0.94 (~P3(x1581,f8(a2,a2))),
% 0.85/0.94 inference(scs_inference,[],[24,23,22,17,21,134,83,91,93,99,129,138,142,148,36,12,35,29,28,11,14,5,13])).
% 0.85/0.94 cnf(160,plain,
% 0.85/0.94 (~E(a9,f8(x1601,a1))),
% 0.85/0.94 inference(scs_inference,[],[24,23,22,17,19,21,134,83,91,93,99,129,138,142,148,36,12,35,29,28,11,14,5,13,3])).
% 0.85/0.94 cnf(161,plain,
% 0.85/0.94 (~E(f8(f8(a7,a9),x1611),f8(a5,a9))),
% 0.85/0.94 inference(scs_inference,[],[24,23,22,17,19,21,134,83,91,147,93,99,129,138,142,148,36,12,35,29,28,11,14,5,13,3,2])).
% 0.85/0.94 cnf(162,plain,
% 0.85/0.94 (~E(f8(f8(a5,a9),f8(a5,a9)),f8(a7,a9))),
% 0.85/0.94 inference(scs_inference,[],[24,23,22,17,19,21,134,136,83,91,147,93,99,129,138,142,148,36,12,35,29,28,11,14,5,13,3,2,15])).
% 0.85/0.94 cnf(167,plain,
% 0.85/0.94 (E(f8(a2,a2),a1)),
% 0.85/0.94 inference(scs_inference,[],[127,25])).
% 0.85/0.94 cnf(169,plain,
% 0.85/0.94 (E(f8(a2,a2),f8(a1,x1691))),
% 0.85/0.94 inference(scs_inference,[],[39,158,127,25,36])).
% 0.85/0.94 cnf(170,plain,
% 0.85/0.94 (~P3(x1701,f8(a2,a2))),
% 0.85/0.94 inference(rename_variables,[],[158])).
% 0.85/0.94 cnf(171,plain,
% 0.85/0.94 (~P3(x1711,a1)),
% 0.85/0.94 inference(rename_variables,[],[39])).
% 0.85/0.94 cnf(174,plain,
% 0.85/0.94 (~P3(x1741,f8(a2,a2))),
% 0.85/0.94 inference(rename_variables,[],[158])).
% 0.85/0.94 cnf(178,plain,
% 0.85/0.94 (~P3(x1781,f8(a2,a2))),
% 0.85/0.94 inference(rename_variables,[],[158])).
% 0.85/0.94 cnf(182,plain,
% 0.85/0.94 (~P1(f8(a9,a5))),
% 0.85/0.94 inference(scs_inference,[],[39,171,22,158,170,174,150,85,127,25,36,35,29,28,11])).
% 0.85/0.94 cnf(184,plain,
% 0.85/0.94 (~E(f8(a9,a9),f8(a7,a9))),
% 0.85/0.94 inference(scs_inference,[],[39,171,38,22,158,170,174,57,113,150,85,127,25,36,35,29,28,11,2,3])).
% 0.85/0.94 cnf(185,plain,
% 0.85/0.94 (E(x1851,f8(x1851,x1851))),
% 0.85/0.94 inference(rename_variables,[],[38])).
% 0.85/0.94 cnf(186,plain,
% 0.85/0.94 (~P2(f8(a9,a5),f8(f8(a7,a9),f8(a7,a9)))),
% 0.85/0.94 inference(scs_inference,[],[39,171,38,22,21,158,170,174,57,113,150,85,101,127,25,36,35,29,28,11,2,3,15])).
% 0.85/0.94 cnf(187,plain,
% 0.85/0.94 (E(f8(x1871,x1871),x1871)),
% 0.85/0.94 inference(rename_variables,[],[21])).
% 0.85/0.94 cnf(188,plain,
% 0.85/0.94 (~P2(f8(f8(a9,a5),f8(a9,a5)),f8(a7,a9))),
% 0.85/0.94 inference(scs_inference,[],[39,171,38,22,21,187,158,170,174,57,113,150,85,101,127,25,36,35,29,28,11,2,3,15,14])).
% 0.85/0.94 cnf(194,plain,
% 0.85/0.94 (E(f3(x1941,x1942),f3(x1941,f8(x1942,x1942)))),
% 0.85/0.94 inference(scs_inference,[],[39,171,38,185,22,19,21,187,158,170,174,178,57,113,150,85,101,127,64,25,36,35,29,28,11,2,3,15,14,5,13,4,10])).
% 0.85/0.94 cnf(197,plain,
% 0.85/0.94 (E(f4(x1971,x1972,x1973),f4(f8(x1971,x1971),x1972,x1973))),
% 0.85/0.94 inference(scs_inference,[],[39,171,38,185,22,19,21,187,158,170,174,178,57,113,150,85,101,127,64,25,36,35,29,28,11,2,3,15,14,5,13,4,10,9,8,6])).
% 0.85/0.94 cnf(202,plain,
% 0.85/0.94 (~P3(x2021,a1)),
% 0.85/0.94 inference(rename_variables,[],[39])).
% 0.85/0.94 cnf(203,plain,
% 0.85/0.94 (~E(a9,f8(x2031,a1))),
% 0.85/0.94 inference(rename_variables,[],[160])).
% 0.85/0.94 cnf(206,plain,
% 0.85/0.94 (~P3(x2061,a1)),
% 0.85/0.94 inference(rename_variables,[],[39])).
% 0.85/0.94 cnf(208,plain,
% 0.85/0.94 (P3(f8(f4(a1,a1,a9),f4(a1,a1,a9)),a9)),
% 0.85/0.94 inference(scs_inference,[],[39,202,38,160,203,36,35,12])).
% 0.85/0.94 cnf(209,plain,
% 0.85/0.94 (E(x2091,f8(x2091,x2091))),
% 0.85/0.94 inference(rename_variables,[],[38])).
% 0.85/0.94 cnf(210,plain,
% 0.85/0.94 (P3(f3(f8(a5,a9),a1),f8(a5,a9))),
% 0.85/0.94 inference(scs_inference,[],[39,202,38,160,203,88,36,35,12,29])).
% 0.85/0.94 cnf(214,plain,
% 0.85/0.94 (P1(f8(a1,a1))),
% 0.85/0.94 inference(scs_inference,[],[16,39,202,38,209,146,160,203,88,36,35,12,29,28,11])).
% 0.85/0.94 cnf(215,plain,
% 0.85/0.94 (E(x2151,f8(x2151,x2151))),
% 0.85/0.94 inference(rename_variables,[],[38])).
% 0.85/0.94 cnf(216,plain,
% 0.85/0.94 (P2(f8(x2161,x2162),f8(x2162,x2161))),
% 0.85/0.94 inference(scs_inference,[],[16,39,202,38,209,20,22,146,160,203,88,36,35,12,29,28,11,14])).
% 0.85/0.94 cnf(217,plain,
% 0.85/0.94 (P2(x2171,x2171)),
% 0.85/0.94 inference(rename_variables,[],[20])).
% 0.85/0.94 cnf(218,plain,
% 0.85/0.94 (E(f8(a2,a2),f8(f8(a1,x2181),f8(a1,x2181)))),
% 0.85/0.94 inference(scs_inference,[],[16,39,202,38,209,215,20,22,169,146,160,203,88,36,35,12,29,28,11,14,3])).
% 0.85/0.94 cnf(221,plain,
% 0.85/0.94 (~E(f8(a5,a9),a1)),
% 0.85/0.94 inference(scs_inference,[],[16,39,202,206,38,209,215,20,22,169,140,146,71,160,203,88,36,35,12,29,28,11,14,3,2,13])).
% 0.85/0.94 cnf(225,plain,
% 0.85/0.94 (~E(a5,a7)),
% 0.85/0.94 inference(scs_inference,[],[16,39,202,206,38,209,215,20,217,22,125,82,169,140,146,71,160,203,88,36,35,12,29,28,11,14,3,2,13,15,4])).
% 0.85/0.94 cnf(227,plain,
% 0.85/0.94 (E(f8(x2271,x2272),f8(x2272,x2271))),
% 0.85/0.94 inference(rename_variables,[],[22])).
% 0.85/0.94 cnf(229,plain,
% 0.85/0.94 (P3(f4(a2,f8(a7,a9),f8(a5,a9)),a5)),
% 0.85/0.94 inference(scs_inference,[],[16,39,202,206,38,209,215,20,217,22,227,125,82,169,140,146,71,160,203,88,36,35,12,29,28,11,14,3,2,13,15,4,32,31])).
% 0.85/0.94 cnf(232,plain,
% 0.85/0.94 (P3(f4(a2,f8(a7,a9),f8(a5,a9)),f8(a7,a7))),
% 0.85/0.95 inference(scs_inference,[],[16,39,202,206,38,209,215,20,217,22,227,125,82,169,140,146,71,160,203,43,88,36,35,12,29,28,11,14,3,2,13,15,4,32,31,30])).
% 0.85/0.95 cnf(234,plain,
% 0.85/0.95 (~P1(a5)),
% 0.85/0.95 inference(scs_inference,[],[16,39,202,206,38,209,215,20,217,22,227,125,82,169,140,146,71,160,203,43,88,36,35,12,29,28,11,14,3,2,13,15,4,32,31,30,27])).
% 0.85/0.95 cnf(236,plain,
% 0.85/0.95 (~P3(x2361,f8(a1,x2362))),
% 0.85/0.95 inference(scs_inference,[],[16,39,202,206,38,209,215,20,217,22,227,125,82,169,140,146,71,160,203,43,88,158,36,35,12,29,28,11,14,3,2,13,15,4,32,31,30,27,34])).
% 0.85/0.95 cnf(238,plain,
% 0.85/0.95 (P3(f4(a2,f8(a7,a9),f8(a5,a9)),a7)),
% 0.85/0.95 inference(scs_inference,[],[229,72])).
% 0.85/0.95 cnf(240,plain,
% 0.85/0.95 (~E(f8(a7,a7),f8(x2401,a1))),
% 0.85/0.95 inference(scs_inference,[],[39,232,229,72,31])).
% 0.85/0.95 cnf(241,plain,
% 0.85/0.95 (~P3(x2411,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(243,plain,
% 0.85/0.95 (~P2(f8(a7,a7),a1)),
% 0.85/0.95 inference(scs_inference,[],[39,241,232,229,72,31,30])).
% 0.85/0.95 cnf(244,plain,
% 0.85/0.95 (~P3(x2441,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(246,plain,
% 0.85/0.95 (~E(a1,f8(f8(a7,a7),f8(a7,a7)))),
% 0.85/0.95 inference(scs_inference,[],[39,241,244,232,229,72,31,30,34])).
% 0.85/0.95 cnf(247,plain,
% 0.85/0.95 (~P3(x2471,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(249,plain,
% 0.85/0.95 (~E(f8(a7,a7),f8(a1,x2491))),
% 0.85/0.95 inference(scs_inference,[],[39,241,244,247,232,229,72,31,30,34,32])).
% 0.85/0.95 cnf(250,plain,
% 0.85/0.95 (~P3(x2501,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(252,plain,
% 0.85/0.95 (P3(f4(a1,f8(a7,a9),f8(a5,a9)),f8(a5,a9))),
% 0.85/0.95 inference(scs_inference,[],[39,241,244,247,250,232,229,93,72,31,30,34,32,36])).
% 0.85/0.95 cnf(264,plain,
% 0.85/0.95 (~E(a7,a1)),
% 0.85/0.95 inference(scs_inference,[],[39,241,244,247,250,23,214,232,236,229,113,93,72,31,30,34,32,36,35,29,28,11,5])).
% 0.85/0.95 cnf(265,plain,
% 0.85/0.95 (~E(a1,f8(a9,a5))),
% 0.85/0.95 inference(scs_inference,[],[41,39,241,244,247,250,23,214,186,232,236,229,113,93,72,31,30,34,32,36,35,29,28,11,5,14])).
% 0.85/0.95 cnf(266,plain,
% 0.85/0.95 (~E(f8(a9,a5),f8(f8(a7,a9),f8(a7,a9)))),
% 0.85/0.95 inference(scs_inference,[],[41,39,241,244,247,250,23,20,214,186,232,236,229,113,93,72,31,30,34,32,36,35,29,28,11,5,14,15])).
% 0.85/0.95 cnf(269,plain,
% 0.85/0.95 (E(f3(x2691,f8(x2692,x2692)),f3(x2691,x2692))),
% 0.85/0.95 inference(scs_inference,[],[41,39,241,244,247,250,23,20,22,194,214,162,186,232,236,229,113,93,72,31,30,34,32,36,35,29,28,11,5,14,15,3,2])).
% 0.85/0.95 cnf(270,plain,
% 0.85/0.95 (E(f8(f8(a2,a2),x2701),f8(a1,x2701))),
% 0.85/0.95 inference(scs_inference,[],[41,39,241,244,247,250,23,20,22,194,214,162,186,232,236,229,167,113,93,72,31,30,34,32,36,35,29,28,11,5,14,15,3,2,4])).
% 0.85/0.95 cnf(271,plain,
% 0.85/0.95 (~P3(f4(a7,a9,a9),a7)),
% 0.85/0.95 inference(scs_inference,[],[41,39,241,244,247,250,23,20,22,194,214,162,186,232,236,229,167,113,93,72,31,30,34,32,36,35,29,28,11,5,14,15,3,2,4,37])).
% 0.85/0.95 cnf(281,plain,
% 0.85/0.95 (~P3(f4(a7,a9,a9),a5)),
% 0.85/0.95 inference(scs_inference,[],[240,271,214,26,72])).
% 0.85/0.95 cnf(284,plain,
% 0.85/0.95 (~P3(x2841,f8(a1,x2842))),
% 0.85/0.95 inference(rename_variables,[],[236])).
% 0.85/0.95 cnf(285,plain,
% 0.85/0.95 (~P3(x2851,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(289,plain,
% 0.85/0.95 (~P3(x2891,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(291,plain,
% 0.85/0.95 (P3(f4(f8(a1,a1),f8(a7,a9),f8(a5,a9)),f8(a5,a9))),
% 0.85/0.95 inference(scs_inference,[],[39,285,197,240,252,271,236,284,214,26,72,36,35,12])).
% 0.85/0.95 cnf(295,plain,
% 0.85/0.95 (~P3(f8(a5,a9),f4(a1,f8(a7,a9),f8(a5,a9)))),
% 0.85/0.95 inference(scs_inference,[],[39,285,197,240,252,243,271,236,284,214,26,72,36,35,12,29,28])).
% 0.85/0.95 cnf(299,plain,
% 0.85/0.95 (~E(a5,a1)),
% 0.85/0.95 inference(scs_inference,[],[39,285,289,21,197,182,240,252,243,271,103,236,284,229,214,26,72,36,35,12,29,28,11,5,13])).
% 0.85/0.95 cnf(301,plain,
% 0.85/0.95 (~P2(a7,a1)),
% 0.85/0.95 inference(scs_inference,[],[39,285,289,38,21,197,182,240,252,243,271,103,236,284,229,214,26,72,36,35,12,29,28,11,5,13,14])).
% 0.85/0.95 cnf(302,plain,
% 0.85/0.95 (E(x3021,f8(x3021,x3021))),
% 0.85/0.95 inference(rename_variables,[],[38])).
% 0.85/0.95 cnf(303,plain,
% 0.85/0.95 (~E(f8(a9,a9),a1)),
% 0.85/0.95 inference(scs_inference,[],[39,285,289,38,302,21,197,156,182,240,252,243,271,103,236,284,229,214,26,72,36,35,12,29,28,11,5,13,14,3])).
% 0.85/0.95 cnf(306,plain,
% 0.85/0.95 (~P2(f8(f8(a9,a5),f8(a9,a5)),f8(a9,a7))),
% 0.85/0.95 inference(scs_inference,[],[39,285,289,38,302,21,22,197,266,156,182,240,252,188,243,271,103,236,284,229,214,26,72,36,35,12,29,28,11,5,13,14,3,2,15])).
% 0.85/0.95 cnf(308,plain,
% 0.85/0.95 (~E(f8(a7,a9),a5)),
% 0.85/0.95 inference(scs_inference,[],[39,285,289,38,302,21,22,197,266,156,182,240,252,188,161,243,271,103,236,284,229,214,26,72,36,35,12,29,28,11,5,13,14,3,2,15,4])).
% 0.85/0.95 cnf(311,plain,
% 0.85/0.95 (~P3(x3111,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(322,plain,
% 0.85/0.95 (P1(f8(f8(a2,a2),f8(a2,a2)))),
% 0.85/0.95 inference(scs_inference,[],[39,311,38,291,238,265,271,138,127,36,35,12,29,28,11])).
% 0.85/0.95 cnf(324,plain,
% 0.85/0.95 (~P3(f4(a7,a9,a9),f8(a5,a5))),
% 0.85/0.95 inference(scs_inference,[],[39,311,38,21,291,238,265,281,271,138,127,36,35,12,29,28,11,13])).
% 0.85/0.95 cnf(325,plain,
% 0.85/0.95 (E(f8(x3251,x3251),x3251)),
% 0.85/0.95 inference(rename_variables,[],[21])).
% 0.85/0.95 cnf(326,plain,
% 0.85/0.95 (P2(f3(x3261,x3262),f3(x3261,f8(x3262,x3262)))),
% 0.85/0.95 inference(scs_inference,[],[20,39,311,38,21,269,291,238,265,281,271,138,127,36,35,12,29,28,11,13,14])).
% 0.85/0.95 cnf(330,plain,
% 0.85/0.95 (E(f8(f8(a1,x3301),f8(a1,x3301)),f8(a2,a2))),
% 0.85/0.95 inference(scs_inference,[],[19,20,39,311,38,21,325,269,218,291,238,265,281,271,138,127,36,35,12,29,28,11,13,14,3,2])).
% 0.85/0.95 cnf(339,plain,
% 0.85/0.95 (E(f8(f8(a2,a2),f8(a2,a2)),a1)),
% 0.85/0.95 inference(scs_inference,[],[19,20,39,311,38,21,325,269,218,291,238,265,281,107,271,99,138,127,36,35,12,29,28,11,13,14,3,2,4,33,10,9,8,7,6,25])).
% 0.85/0.95 cnf(341,plain,
% 0.85/0.95 (P3(f4(a9,a5,a1),f8(a7,a7))),
% 0.85/0.95 inference(scs_inference,[],[19,43,20,39,311,38,21,325,269,218,291,238,265,281,107,271,99,138,127,36,35,12,29,28,11,13,14,3,2,4,33,10,9,8,7,6,25,30])).
% 0.85/0.95 cnf(349,plain,
% 0.85/0.95 (P3(f4(a1,x3491,f8(a7,a7)),f8(a7,a7))),
% 0.85/0.95 inference(scs_inference,[],[39,249,303,25,36])).
% 0.85/0.95 cnf(350,plain,
% 0.85/0.95 (~P3(x3501,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(359,plain,
% 0.85/0.95 (~P3(f8(a7,a7),f4(a9,a5,a1))),
% 0.85/0.95 inference(scs_inference,[],[39,350,21,341,249,324,246,303,301,25,36,35,12,29,28])).
% 0.85/0.95 cnf(362,plain,
% 0.85/0.95 (P3(f4(a9,a5,a1),f8(f8(a7,a7),f8(a7,a7)))),
% 0.85/0.95 inference(scs_inference,[],[23,39,350,38,21,322,341,249,324,246,303,301,25,36,35,12,29,28,11,13])).
% 0.85/0.95 cnf(363,plain,
% 0.85/0.95 (E(x3631,f8(x3631,x3631))),
% 0.85/0.95 inference(rename_variables,[],[38])).
% 0.85/0.95 cnf(364,plain,
% 0.85/0.95 (~E(a1,f8(f8(a9,a5),f8(a9,a5)))),
% 0.85/0.95 inference(scs_inference,[],[41,23,39,350,38,21,322,306,341,249,324,246,303,301,25,36,35,12,29,28,11,13,14])).
% 0.85/0.95 cnf(370,plain,
% 0.85/0.95 (~E(a9,a7)),
% 0.85/0.95 inference(scs_inference,[],[41,23,39,350,38,363,21,322,221,306,341,249,324,184,246,303,301,25,36,35,12,29,28,11,13,14,3,2,4])).
% 0.85/0.95 cnf(375,plain,
% 0.85/0.95 (~P2(f8(f8(a7,a7),f8(a7,a7)),a1)),
% 0.85/0.95 inference(scs_inference,[],[39,362,30])).
% 0.85/0.95 cnf(376,plain,
% 0.85/0.95 (~P3(x3761,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(379,plain,
% 0.85/0.95 (~P3(x3791,f8(x3792,a1))),
% 0.85/0.95 inference(rename_variables,[],[95])).
% 0.85/0.95 cnf(380,plain,
% 0.85/0.95 (~P3(x3801,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(384,plain,
% 0.85/0.95 (~P3(x3841,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(388,plain,
% 0.85/0.95 (E(f8(x3881,a2),f8(x3881,a1))),
% 0.85/0.95 inference(scs_inference,[],[39,376,380,362,55,95,379,30,36,35,28,5])).
% 0.85/0.95 cnf(389,plain,
% 0.85/0.95 (P3(f4(a1,x3891,a7),f8(a7,a7))),
% 0.85/0.95 inference(scs_inference,[],[39,376,380,362,349,55,60,95,379,30,36,35,28,5,12])).
% 0.85/0.95 cnf(393,plain,
% 0.85/0.95 (~P1(f8(a5,a5))),
% 0.85/0.95 inference(scs_inference,[],[20,39,376,380,21,362,330,349,234,55,60,95,379,30,36,35,28,5,12,15,11])).
% 0.85/0.95 cnf(395,plain,
% 0.85/0.95 (E(x3951,f8(x3951,x3951))),
% 0.85/0.95 inference(rename_variables,[],[38])).
% 0.85/0.95 cnf(396,plain,
% 0.85/0.95 (E(a1,f8(f8(a2,a2),f8(a2,a2)))),
% 0.85/0.95 inference(scs_inference,[],[20,39,376,380,38,21,362,330,349,308,339,234,55,60,95,379,30,36,35,28,5,12,15,11,3,2])).
% 0.85/0.95 cnf(398,plain,
% 0.85/0.95 (~P3(x3981,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(399,plain,
% 0.85/0.95 (~P2(f8(a9,a5),f8(a9,a7))),
% 0.85/0.95 inference(scs_inference,[],[20,39,376,380,384,38,395,21,362,330,349,308,339,234,55,60,306,95,379,30,36,35,28,5,12,15,11,3,2,13,14])).
% 0.85/0.95 cnf(404,plain,
% 0.85/0.95 (~P3(x4041,f8(f8(a2,a2),x4042))),
% 0.85/0.95 inference(scs_inference,[],[20,39,376,380,384,398,38,395,21,362,330,349,308,339,234,55,270,60,306,95,379,138,30,36,35,28,5,12,15,11,3,2,13,14,4,31,32])).
% 0.85/0.95 cnf(406,plain,
% 0.85/0.95 (P3(f3(f8(a9,a5),f8(a7,a9)),f8(a9,a5))),
% 0.85/0.95 inference(scs_inference,[],[20,39,376,380,384,398,38,395,21,362,330,349,308,339,234,55,270,60,306,95,379,138,101,30,36,35,28,5,12,15,11,3,2,13,14,4,31,32,29])).
% 0.85/0.95 cnf(411,plain,
% 0.85/0.95 (~E(f8(a9,a5),f8(x4111,a1))),
% 0.85/0.95 inference(scs_inference,[],[39,406,31])).
% 0.85/0.95 cnf(412,plain,
% 0.85/0.95 (~P3(x4121,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(415,plain,
% 0.85/0.95 (~P3(x4151,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(418,plain,
% 0.85/0.95 (~P3(x4181,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(421,plain,
% 0.85/0.95 (~P3(f8(a9,a5),f3(f8(a9,a5),f8(a7,a9)))),
% 0.85/0.95 inference(scs_inference,[],[39,412,415,406,91,31,32,35,28])).
% 0.85/0.95 cnf(423,plain,
% 0.85/0.95 (P3(f8(f4(a1,x4231,a7),f4(a1,x4231,a7)),f8(a7,a7))),
% 0.85/0.95 inference(scs_inference,[],[39,412,415,38,406,389,91,31,32,35,28,12])).
% 0.85/0.95 cnf(426,plain,
% 0.85/0.95 (P2(x4261,x4261)),
% 0.85/0.95 inference(rename_variables,[],[20])).
% 0.85/0.95 cnf(427,plain,
% 0.85/0.95 (P1(f8(a2,a1))),
% 0.85/0.95 inference(scs_inference,[],[20,39,412,415,38,399,406,389,388,91,127,31,32,35,28,12,15,11])).
% 0.85/0.95 cnf(430,plain,
% 0.85/0.95 (~P3(x4301,f8(x4302,f8(a2,a2)))),
% 0.85/0.95 inference(scs_inference,[],[20,39,412,415,22,38,404,264,399,406,389,388,91,127,31,32,35,28,12,15,11,2,13])).
% 0.85/0.95 cnf(432,plain,
% 0.85/0.95 (E(f8(x4321,x4322),f8(x4322,x4321))),
% 0.85/0.95 inference(rename_variables,[],[22])).
% 0.85/0.95 cnf(435,plain,
% 0.85/0.95 (E(f8(f8(x4351,x4352),f8(x4351,x4352)),f8(x4352,x4351))),
% 0.85/0.95 inference(scs_inference,[],[20,426,39,412,415,22,432,38,21,404,264,399,406,389,388,396,91,127,31,32,35,28,12,15,11,2,13,14,3])).
% 0.85/0.95 cnf(437,plain,
% 0.85/0.95 (~E(a1,f8(f8(a5,a9),f8(a5,a9)))),
% 0.85/0.95 inference(scs_inference,[],[20,426,39,412,415,418,22,432,38,21,404,264,399,406,210,389,388,396,91,127,31,32,35,28,12,15,11,2,13,14,3,34])).
% 0.85/0.95 cnf(442,plain,
% 0.85/0.95 (P2(f8(x4421,f8(a2,a2)),x4422)),
% 0.85/0.95 inference(scs_inference,[],[20,426,44,39,412,415,418,22,432,38,21,404,264,399,406,210,389,388,396,91,127,31,32,35,28,12,15,11,2,13,14,3,34,36,29])).
% 0.85/0.95 cnf(445,plain,
% 0.85/0.95 (E(f8(x4451,x4451),x4451)),
% 0.85/0.95 inference(rename_variables,[],[21])).
% 0.85/0.95 cnf(447,plain,
% 0.85/0.95 (P3(f8(f4(a1,a1,a9),f4(a1,a1,a9)),f8(a9,a9))),
% 0.85/0.95 inference(scs_inference,[],[21,39,208,136,31,30])).
% 0.85/0.95 cnf(451,plain,
% 0.85/0.95 (E(f8(x4511,x4511),x4511)),
% 0.85/0.95 inference(rename_variables,[],[21])).
% 0.85/0.95 cnf(455,plain,
% 0.85/0.95 (~P3(x4551,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(460,plain,
% 0.85/0.95 (P3(f3(f8(a9,a5),f8(a9,a7)),f8(a9,a5))),
% 0.85/0.95 inference(scs_inference,[],[21,445,39,455,208,411,136,281,399,158,31,30,32,36,35,29])).
% 0.85/0.95 cnf(464,plain,
% 0.85/0.95 (~P3(f8(f4(a7,a9,a9),f4(a7,a9,a9)),a5)),
% 0.85/0.95 inference(scs_inference,[],[21,445,451,39,455,423,208,411,136,281,399,158,31,30,32,36,35,29,28,12])).
% 0.85/0.95 cnf(465,plain,
% 0.85/0.95 (E(f8(x4651,x4651),x4651)),
% 0.85/0.95 inference(rename_variables,[],[21])).
% 0.85/0.95 cnf(466,plain,
% 0.85/0.95 (~P2(f8(f8(a7,a7),f8(a7,a7)),f8(a1,a1))),
% 0.85/0.95 inference(scs_inference,[],[21,445,451,465,39,455,423,208,411,375,136,281,399,158,31,30,32,36,35,29,28,12,15])).
% 0.85/0.95 cnf(467,plain,
% 0.85/0.95 (E(f8(x4671,x4671),x4671)),
% 0.85/0.95 inference(rename_variables,[],[21])).
% 0.85/0.95 cnf(472,plain,
% 0.85/0.95 (E(f8(x4721,x4722),f8(f8(x4722,x4721),f8(x4722,x4721)))),
% 0.85/0.95 inference(scs_inference,[],[21,445,451,465,46,43,23,39,455,38,435,423,208,299,411,427,375,136,281,399,158,31,30,32,36,35,29,28,12,15,11,3,14,2])).
% 0.85/0.95 cnf(475,plain,
% 0.85/0.95 (~P3(f3(f8(a9,a5),f8(a9,a7)),f8(a9,a7))),
% 0.85/0.95 inference(scs_inference,[],[21,445,451,465,467,46,43,23,39,455,38,435,423,208,299,411,427,375,136,281,399,158,31,30,32,36,35,29,28,12,15,11,3,14,2,13,33])).
% 0.85/0.95 cnf(477,plain,
% 0.85/0.95 (E(f3(f8(a1,x4771),x4772),f3(a1,x4772))),
% 0.85/0.95 inference(scs_inference,[],[21,445,451,465,467,46,43,23,39,455,38,435,423,208,299,411,427,375,136,281,399,158,31,30,32,36,35,29,28,12,15,11,3,14,2,13,33,9])).
% 0.85/0.95 cnf(479,plain,
% 0.85/0.95 (E(f4(x4791,x4792,f8(a1,x4793)),f4(x4791,x4792,a1))),
% 0.85/0.95 inference(scs_inference,[],[21,445,451,465,467,46,43,23,39,455,38,435,423,208,299,411,427,375,136,281,399,158,31,30,32,36,35,29,28,12,15,11,3,14,2,13,33,9,10,8])).
% 0.85/0.95 cnf(481,plain,
% 0.85/0.95 (E(f4(f8(a1,x4811),x4812,x4813),f4(a1,x4812,x4813))),
% 0.85/0.95 inference(scs_inference,[],[21,445,451,465,467,46,43,23,39,455,38,435,423,208,299,411,427,375,136,281,399,158,31,30,32,36,35,29,28,12,15,11,3,14,2,13,33,9,10,8,7,6])).
% 0.85/0.95 cnf(487,plain,
% 0.85/0.95 (P3(f3(f8(a9,a5),f8(a9,a7)),a9)),
% 0.85/0.95 inference(scs_inference,[],[22,460,31])).
% 0.85/0.95 cnf(488,plain,
% 0.85/0.95 (E(f8(x4881,x4882),f8(x4882,x4881))),
% 0.85/0.95 inference(rename_variables,[],[22])).
% 0.85/0.95 cnf(490,plain,
% 0.85/0.95 (P3(f3(f8(a9,a5),f8(a9,a7)),f8(a5,a9))),
% 0.85/0.95 inference(scs_inference,[],[22,472,460,31,34])).
% 0.85/0.95 cnf(494,plain,
% 0.85/0.95 (E(f8(x4941,x4942),f8(x4942,x4941))),
% 0.85/0.95 inference(rename_variables,[],[22])).
% 0.85/0.95 cnf(497,plain,
% 0.85/0.95 (~P3(x4971,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(501,plain,
% 0.85/0.95 (~P3(x5011,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(505,plain,
% 0.85/0.95 (P3(f4(a1,a1,a9),f8(a9,a9))),
% 0.85/0.95 inference(scs_inference,[],[21,22,488,39,497,472,460,447,364,158,31,34,32,36,35,28,12])).
% 0.85/0.95 cnf(506,plain,
% 0.85/0.95 (E(f8(x5061,x5061),x5061)),
% 0.85/0.95 inference(rename_variables,[],[21])).
% 0.85/0.95 cnf(515,plain,
% 0.85/0.95 (P3(f3(f8(a9,a5),f8(a9,a7)),a7)),
% 0.85/0.95 inference(scs_inference,[],[21,506,22,488,494,38,39,497,501,472,225,370,460,447,393,364,88,158,31,34,32,36,35,28,12,11,3,14,13,2,72])).
% 0.85/0.95 cnf(519,plain,
% 0.85/0.95 (~E(f8(a9,a9),f8(x5191,a1))),
% 0.85/0.95 inference(scs_inference,[],[39,505,31])).
% 0.85/0.95 cnf(520,plain,
% 0.85/0.95 (~P3(x5201,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(522,plain,
% 0.85/0.95 (~E(a1,f8(f8(a9,a9),f8(a9,a9)))),
% 0.85/0.95 inference(scs_inference,[],[39,520,505,31,34])).
% 0.85/0.95 cnf(523,plain,
% 0.85/0.95 (~P3(x5231,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(525,plain,
% 0.85/0.95 (~P2(f8(a5,a9),f8(x5251,f8(a2,a2)))),
% 0.85/0.95 inference(scs_inference,[],[39,520,430,490,505,31,34,30])).
% 0.85/0.95 cnf(529,plain,
% 0.85/0.95 (~P3(x5291,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(531,plain,
% 0.85/0.95 (P3(f4(f8(a5,a9),f8(a5,a9),a1),f8(a5,a9))),
% 0.85/0.95 inference(scs_inference,[],[39,520,523,529,430,490,505,437,31,34,30,32,36])).
% 0.85/0.95 cnf(532,plain,
% 0.85/0.95 (~P3(x5321,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(544,plain,
% 0.85/0.95 (P1(f8(a1,a2))),
% 0.85/0.95 inference(scs_inference,[],[22,39,520,523,529,532,430,490,505,437,515,326,477,427,236,271,31,34,30,32,36,35,28,12,14,11])).
% 0.85/0.95 cnf(555,plain,
% 0.85/0.95 (~E(f8(f8(a7,a7),f8(a7,a7)),f8(a1,a1))),
% 0.85/0.95 inference(scs_inference,[],[22,55,46,38,39,520,523,529,532,216,466,430,359,490,505,437,515,326,479,477,427,236,271,16,31,34,30,32,36,35,28,12,14,11,13,3,2,26,5,4,15])).
% 0.85/0.95 cnf(560,plain,
% 0.85/0.95 (E(f8(x5601,x5602),f8(x5602,x5601))),
% 0.85/0.95 inference(rename_variables,[],[22])).
% 0.85/0.95 cnf(566,plain,
% 0.85/0.95 (E(f8(x5661,x5662),f8(x5662,x5661))),
% 0.85/0.95 inference(rename_variables,[],[22])).
% 0.85/0.95 cnf(570,plain,
% 0.85/0.95 (~P3(x5701,a1)),
% 0.85/0.95 inference(rename_variables,[],[39])).
% 0.85/0.95 cnf(578,plain,
% 0.85/0.95 (E(f8(x5781,x5782),f8(x5782,x5781))),
% 0.85/0.95 inference(rename_variables,[],[22])).
% 0.85/0.95 cnf(580,plain,
% 0.85/0.95 (~P2(f8(a5,a9),f8(x5801,f8(a2,a2)))),
% 0.85/0.95 inference(rename_variables,[],[525])).
% 0.85/0.95 cnf(581,plain,
% 0.85/0.95 (E(f8(x5811,x5812),f8(x5812,x5811))),
% 0.85/0.95 inference(rename_variables,[],[22])).
% 0.85/0.95 cnf(586,plain,
% 0.85/0.95 (E(f8(x5861,x5862),f8(x5862,x5861))),
% 0.85/0.95 inference(rename_variables,[],[22])).
% 0.85/0.95 cnf(590,plain,
% 0.85/0.95 ($false),
% 0.85/0.95 inference(scs_inference,[],[22,560,566,578,581,586,44,23,39,570,555,442,525,580,475,421,531,519,295,544,464,522,487,481,216,515,95,16,26,31,30,32,36,35,28,12,15,11,13,3,14,2,34]),
% 0.85/0.95 ['proof']).
% 0.85/0.95 % SZS output end Proof
% 0.85/0.95 % Total time :0.290000s
%------------------------------------------------------------------------------