TSTP Solution File: SET971+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET971+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 : n006.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 14:31:51 EDT 2023
% Result : Theorem 9.39s 9.61s
% Output : CNFRefutation 9.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET971+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 11:24:22 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 9.39/9.60 %-------------------------------------------
% 9.39/9.60 % File :CSE---1.6
% 9.39/9.60 % Problem :theBenchmark
% 9.39/9.60 % Transform :cnf
% 9.39/9.60 % Format :tptp:raw
% 9.39/9.60 % Command :java -jar mcs_scs.jar %d %s
% 9.39/9.60
% 9.39/9.60 % Result :Theorem 8.990000s
% 9.39/9.60 % Output :CNFRefutation 8.990000s
% 9.39/9.60 %-------------------------------------------
% 9.39/9.60 %------------------------------------------------------------------------------
% 9.39/9.60 % File : SET971+1 : TPTP v8.1.2. Released v3.2.0.
% 9.39/9.60 % Domain : Set theory
% 9.39/9.60 % Problem : Basic properties of sets, theorem 124
% 9.39/9.60 % Version : [Urb06] axioms : Especial.
% 9.39/9.60 % English :
% 9.39/9.60
% 9.39/9.60 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 9.39/9.60 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 9.39/9.60 % Source : [Urb06]
% 9.39/9.60 % Names : zfmisc_1__t124_zfmisc_1 [Urb06]
% 9.39/9.60
% 9.39/9.60 % Status : Theorem
% 9.39/9.60 % Rating : 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.23 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.18 v5.3.0, 0.26 v5.2.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.14 v3.2.0
% 9.39/9.60 % Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% 9.39/9.60 % Number of atoms : 11 ( 5 equ)
% 9.39/9.60 % Maximal formula atoms : 3 ( 1 avg)
% 9.39/9.60 % Number of connectives : 4 ( 1 ~; 0 |; 1 &)
% 9.39/9.60 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 9.39/9.60 % Maximal formula depth : 7 ( 4 avg)
% 9.39/9.60 % Maximal term depth : 3 ( 1 avg)
% 9.39/9.60 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 9.39/9.60 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 9.39/9.60 % Number of variables : 18 ( 16 !; 2 ?)
% 9.39/9.60 % SPC : FOF_THM_RFO_SEQ
% 9.39/9.60
% 9.39/9.60 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 9.39/9.60 % library, www.mizar.org
% 9.39/9.60 %------------------------------------------------------------------------------
% 9.39/9.60 fof(commutativity_k3_xboole_0,axiom,
% 9.39/9.60 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 9.39/9.60
% 9.39/9.60 fof(idempotence_k3_xboole_0,axiom,
% 9.39/9.60 ! [A,B] : set_intersection2(A,A) = A ).
% 9.39/9.60
% 9.39/9.60 fof(rc1_xboole_0,axiom,
% 9.39/9.60 ? [A] : empty(A) ).
% 9.39/9.60
% 9.39/9.60 fof(rc2_xboole_0,axiom,
% 9.39/9.60 ? [A] : ~ empty(A) ).
% 9.39/9.60
% 9.39/9.61 fof(reflexivity_r1_tarski,axiom,
% 9.39/9.61 ! [A,B] : subset(A,A) ).
% 9.39/9.61
% 9.39/9.61 fof(t123_zfmisc_1,axiom,
% 9.39/9.61 ! [A,B,C,D] : cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) ).
% 9.39/9.61
% 9.39/9.61 fof(t124_zfmisc_1,conjecture,
% 9.39/9.61 ! [A,B,C,D] :
% 9.39/9.61 ( ( subset(A,B)
% 9.39/9.61 & subset(C,D) )
% 9.39/9.61 => set_intersection2(cartesian_product2(A,D),cartesian_product2(B,C)) = cartesian_product2(A,C) ) ).
% 9.39/9.61
% 9.39/9.61 fof(t28_xboole_1,axiom,
% 9.39/9.61 ! [A,B] :
% 9.39/9.61 ( subset(A,B)
% 9.39/9.61 => set_intersection2(A,B) = A ) ).
% 9.39/9.61
% 9.39/9.61 %------------------------------------------------------------------------------
% 9.39/9.61 %-------------------------------------------
% 9.39/9.61 % Proof found
% 9.39/9.61 % SZS status Theorem for theBenchmark
% 9.39/9.61 % SZS output start Proof
% 9.39/9.61 %ClaNum:20(EqnAxiom:10)
% 9.39/9.61 %VarNum:22(SingletonVarNum:10)
% 9.39/9.61 %MaxLitNum:2
% 9.39/9.61 %MaxfuncDepth:2
% 9.39/9.61 %SharedTerms:15
% 9.39/9.61 %goalClause: 12 13 19
% 9.39/9.61 %singleGoalClaCount:3
% 9.39/9.61 [11]P1(a1)
% 9.39/9.61 [12]P2(a3,a5)
% 9.39/9.61 [13]P2(a6,a7)
% 9.39/9.61 [18]~P1(a4)
% 9.39/9.61 [19]~E(f8(f2(a3,a7),f2(a5,a6)),f2(a3,a6))
% 9.39/9.61 [14]P2(x141,x141)
% 9.39/9.61 [15]E(f8(x151,x151),x151)
% 9.39/9.61 [16]E(f8(x161,x162),f8(x162,x161))
% 9.39/9.61 [17]E(f2(f8(x171,x172),f8(x173,x174)),f8(f2(x171,x173),f2(x172,x174)))
% 9.39/9.61 [20]~P2(x201,x202)+E(f8(x201,x202),x201)
% 9.39/9.61 %EqnAxiom
% 9.39/9.61 [1]E(x11,x11)
% 9.39/9.61 [2]E(x22,x21)+~E(x21,x22)
% 9.39/9.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 9.39/9.61 [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43))
% 9.39/9.61 [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52))
% 9.39/9.61 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63))
% 9.39/9.61 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72))
% 9.39/9.61 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 9.39/9.61 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 9.39/9.61 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 9.39/9.61
% 9.39/9.61 %-------------------------------------------
% 9.39/9.61 cnf(21,plain,
% 9.39/9.61 (E(x211,f8(x211,x211))),
% 9.39/9.61 inference(scs_inference,[],[15,2])).
% 9.39/9.61 cnf(22,plain,
% 9.39/9.61 (P2(a3,f8(a5,a5))),
% 9.39/9.61 inference(scs_inference,[],[12,15,2,10])).
% 9.39/9.61 cnf(23,plain,
% 9.39/9.61 (P2(a5,f8(a5,a5))),
% 9.39/9.61 inference(scs_inference,[],[12,14,15,2,10,9])).
% 9.39/9.61 cnf(25,plain,
% 9.39/9.61 (E(f8(x251,x251),x251)),
% 9.39/9.61 inference(rename_variables,[],[15])).
% 9.39/9.61 cnf(26,plain,
% 9.39/9.61 (~P1(f8(a4,a4))),
% 9.39/9.61 inference(scs_inference,[],[12,14,18,15,25,2,10,9,8])).
% 9.39/9.61 cnf(27,plain,
% 9.39/9.61 (E(f8(x271,x271),x271)),
% 9.39/9.61 inference(rename_variables,[],[15])).
% 9.39/9.61 cnf(28,plain,
% 9.39/9.62 (~E(f8(f2(a3,a7),f2(a5,a6)),f8(f2(a3,a6),f2(a3,a6)))),
% 9.39/9.62 inference(scs_inference,[],[12,14,18,19,15,25,27,2,10,9,8,3])).
% 9.39/9.62 cnf(29,plain,
% 9.39/9.62 (E(f8(x291,x291),x291)),
% 9.39/9.62 inference(rename_variables,[],[15])).
% 9.39/9.62 cnf(30,plain,
% 9.39/9.62 (E(f2(x301,f8(x302,x302)),f2(x301,x302))),
% 9.39/9.62 inference(scs_inference,[],[12,14,18,19,15,25,27,29,2,10,9,8,3,7])).
% 9.39/9.62 cnf(31,plain,
% 9.39/9.62 (E(f2(f8(x311,x311),x312),f2(x311,x312))),
% 9.39/9.62 inference(scs_inference,[],[12,14,18,19,15,25,27,29,2,10,9,8,3,7,6])).
% 9.39/9.62 cnf(32,plain,
% 9.39/9.62 (E(f8(x321,f8(x322,x322)),f8(x321,x322))),
% 9.39/9.62 inference(scs_inference,[],[12,14,18,19,15,25,27,29,2,10,9,8,3,7,6,5])).
% 9.39/9.62 cnf(33,plain,
% 9.39/9.62 (E(f8(f8(x331,x331),x332),f8(x331,x332))),
% 9.39/9.62 inference(scs_inference,[],[12,14,18,19,15,25,27,29,2,10,9,8,3,7,6,5,4])).
% 9.39/9.62 cnf(34,plain,
% 9.39/9.62 (E(f8(a3,a5),a3)),
% 9.39/9.62 inference(scs_inference,[],[12,14,18,19,15,25,27,29,2,10,9,8,3,7,6,5,4,20])).
% 9.39/9.62 cnf(36,plain,
% 9.39/9.62 (~E(f2(a3,a6),f8(f2(a3,a7),f2(a5,a6)))),
% 9.39/9.62 inference(scs_inference,[],[19,2])).
% 9.39/9.62 cnf(37,plain,
% 9.39/9.62 (~E(a1,a4)),
% 9.39/9.62 inference(scs_inference,[],[11,18,19,2,8])).
% 9.39/9.62 cnf(38,plain,
% 9.39/9.62 (~E(f8(f2(a5,a6),f2(a3,a7)),f2(a3,a6))),
% 9.39/9.62 inference(scs_inference,[],[11,16,18,19,2,8,3])).
% 9.39/9.62 cnf(39,plain,
% 9.39/9.62 (E(f8(x391,x392),f8(x392,x391))),
% 9.39/9.62 inference(rename_variables,[],[16])).
% 9.39/9.62 cnf(40,plain,
% 9.39/9.62 (P2(f8(x401,x402),f8(x402,x401))),
% 9.39/9.62 inference(scs_inference,[],[11,16,39,14,18,19,2,8,3,10])).
% 9.39/9.62 cnf(41,plain,
% 9.39/9.62 (P2(x411,x411)),
% 9.39/9.62 inference(rename_variables,[],[14])).
% 9.39/9.62 cnf(42,plain,
% 9.39/9.62 (P2(f8(f2(x421,x422),f2(x423,x424)),f2(f8(x421,x423),f8(x422,x424)))),
% 9.39/9.62 inference(scs_inference,[],[11,16,39,17,14,41,18,19,2,8,3,10,9])).
% 9.39/9.62 cnf(44,plain,
% 9.39/9.62 (E(f8(f2(x441,x442),f2(x443,x444)),f2(f8(x441,x443),f8(x442,x444)))),
% 9.39/9.62 inference(scs_inference,[],[17,2])).
% 9.39/9.62 cnf(45,plain,
% 9.39/9.62 (E(f2(x451,f8(x452,x452)),f8(f2(x451,x452),f2(x451,x452)))),
% 9.39/9.62 inference(scs_inference,[],[21,17,30,2,3])).
% 9.39/9.62 cnf(48,plain,
% 9.39/9.62 (~E(f8(f2(a3,a7),f2(a5,a6)),f2(f8(a3,a3),f8(a6,a6)))),
% 9.39/9.62 inference(scs_inference,[],[17,28,2,3])).
% 9.39/9.62 cnf(50,plain,
% 9.39/9.62 (E(f8(f2(x501,x502),f2(x501,x502)),f2(x501,f8(x502,x502)))),
% 9.39/9.62 inference(scs_inference,[],[45,2])).
% 9.39/9.62 cnf(51,plain,
% 9.39/9.62 (~E(f8(a1,a1),a4)),
% 9.39/9.62 inference(scs_inference,[],[21,45,37,2,3])).
% 9.39/9.62 cnf(52,plain,
% 9.39/9.62 (E(x521,f8(x521,x521))),
% 9.39/9.62 inference(rename_variables,[],[21])).
% 9.39/9.62 cnf(53,plain,
% 9.39/9.62 (E(f2(x531,x532),f2(f8(x531,x531),x532))),
% 9.39/9.62 inference(scs_inference,[],[21,52,45,37,2,3,6])).
% 9.39/9.62 cnf(54,plain,
% 9.39/9.62 (E(f8(x541,x542),f8(f8(x541,x541),x542))),
% 9.39/9.62 inference(scs_inference,[],[21,52,45,37,2,3,6,4])).
% 9.39/9.62 cnf(55,plain,
% 9.39/9.62 (E(f8(a3,f8(a5,a5)),a3)),
% 9.39/9.62 inference(scs_inference,[],[22,21,52,45,37,2,3,6,4,20])).
% 9.39/9.62 cnf(57,plain,
% 9.39/9.62 (E(f2(x571,x572),f2(x571,f8(x572,x572)))),
% 9.39/9.62 inference(scs_inference,[],[22,21,52,45,37,2,3,6,4,20,7])).
% 9.39/9.62 cnf(58,plain,
% 9.39/9.62 (E(f8(x581,x582),f8(x581,f8(x582,x582)))),
% 9.39/9.62 inference(scs_inference,[],[22,21,52,45,37,2,3,6,4,20,7,5])).
% 9.39/9.62 cnf(59,plain,
% 9.39/9.62 (P2(a6,f8(a7,a7))),
% 9.39/9.62 inference(scs_inference,[],[21,13,10])).
% 9.39/9.62 cnf(60,plain,
% 9.39/9.62 (E(x601,f8(x601,x601))),
% 9.39/9.62 inference(rename_variables,[],[21])).
% 9.39/9.62 cnf(61,plain,
% 9.39/9.62 (P2(f8(a3,a3),f8(a5,a5))),
% 9.39/9.62 inference(scs_inference,[],[22,21,60,13,10,9])).
% 9.39/9.62 cnf(62,plain,
% 9.39/9.62 (E(x621,f8(x621,x621))),
% 9.39/9.62 inference(rename_variables,[],[21])).
% 9.39/9.62 cnf(63,plain,
% 9.39/9.62 (~E(f2(f8(a3,a3),f8(a6,a6)),f8(f2(a3,a7),f2(a5,a6)))),
% 9.39/9.62 inference(scs_inference,[],[22,21,60,48,13,10,9,2])).
% 9.39/9.62 cnf(64,plain,
% 9.39/9.62 (E(f8(f8(x641,x642),f8(x641,x642)),f8(x642,x641))),
% 9.39/9.62 inference(scs_inference,[],[22,16,21,60,15,48,13,10,9,2,3])).
% 9.39/9.62 cnf(66,plain,
% 9.39/9.62 (P1(f8(a1,a1))),
% 9.39/9.62 inference(scs_inference,[],[22,11,16,21,60,62,15,48,13,10,9,2,3,8])).
% 9.39/9.62 cnf(68,plain,
% 9.39/9.62 (E(f8(x681,x682),f8(f8(x682,x681),f8(x682,x681)))),
% 9.39/9.62 inference(scs_inference,[],[64,2])).
% 9.39/9.62 cnf(69,plain,
% 9.39/9.62 (~E(f2(a3,a6),f8(f2(a5,a6),f2(a3,a7)))),
% 9.39/9.62 inference(scs_inference,[],[16,64,36,2,3])).
% 9.39/9.62 cnf(71,plain,
% 9.39/9.62 (P2(a5,f8(f8(a5,a5),f8(a5,a5)))),
% 9.39/9.62 inference(scs_inference,[],[23,16,21,64,36,2,3,10])).
% 9.39/9.62 cnf(73,plain,
% 9.39/9.62 (P2(x731,f8(x731,x731))),
% 9.39/9.62 inference(scs_inference,[],[23,14,16,21,15,64,36,2,3,10,9])).
% 9.39/9.62 cnf(75,plain,
% 9.39/9.62 (~E(a1,f8(a4,a4))),
% 9.39/9.62 inference(scs_inference,[],[11,23,14,16,21,15,64,36,26,2,3,10,9,8])).
% 9.39/9.62 cnf(76,plain,
% 9.39/9.62 (~E(f8(a4,a4),a1)),
% 9.39/9.62 inference(scs_inference,[],[75,2])).
% 9.39/9.62 cnf(77,plain,
% 9.39/9.62 (~E(f8(a1,a1),f8(a4,a4))),
% 9.39/9.62 inference(scs_inference,[],[21,75,2,3])).
% 9.39/9.62 cnf(79,plain,
% 9.39/9.62 (E(a3,f8(a3,a5))),
% 9.39/9.62 inference(scs_inference,[],[34,2])).
% 9.39/9.62 cnf(80,plain,
% 9.39/9.62 (E(f2(f8(x801,x802),f8(x803,x804)),f8(f2(x802,x804),f2(x801,x803)))),
% 9.39/9.62 inference(scs_inference,[],[16,17,34,2,3])).
% 9.39/9.62 cnf(81,plain,
% 9.39/9.62 (E(f8(x811,x812),f8(x812,x811))),
% 9.39/9.62 inference(rename_variables,[],[16])).
% 9.39/9.62 cnf(82,plain,
% 9.39/9.62 (E(f2(f8(x821,x822),x823),f2(f8(x822,x821),x823))),
% 9.39/9.62 inference(scs_inference,[],[16,81,17,34,2,3,6])).
% 9.39/9.62 cnf(83,plain,
% 9.39/9.62 (E(f8(f8(x831,x832),x833),f8(f8(x832,x831),x833))),
% 9.39/9.62 inference(scs_inference,[],[16,81,17,34,2,3,6,4])).
% 9.39/9.62 cnf(84,plain,
% 9.39/9.62 (E(f8(x841,f8(x841,x841)),x841)),
% 9.39/9.62 inference(scs_inference,[],[16,81,17,73,34,2,3,6,4,20])).
% 9.39/9.62 cnf(86,plain,
% 9.39/9.62 (E(f8(x861,f8(x862,x863)),f8(x861,f8(x863,x862)))),
% 9.39/9.62 inference(scs_inference,[],[16,81,17,73,34,2,3,6,4,20,5])).
% 9.39/9.62 cnf(87,plain,
% 9.39/9.62 (E(f2(x871,f8(x872,x873)),f2(x871,f8(x873,x872)))),
% 9.39/9.62 inference(scs_inference,[],[16,81,17,73,34,2,3,6,4,20,5,7])).
% 9.39/9.62 cnf(88,plain,
% 9.39/9.62 (~E(f8(a4,a4),f8(a1,a1))),
% 9.39/9.62 inference(scs_inference,[],[77,2])).
% 9.39/9.62 cnf(89,plain,
% 9.39/9.62 (E(f8(f8(x891,x892),f8(x891,x892)),f8(f8(x892,x891),f8(x892,x891)))),
% 9.39/9.62 inference(scs_inference,[],[15,68,77,2,3])).
% 9.39/9.62 cnf(91,plain,
% 9.39/9.62 (P2(f8(x911,x911),x911)),
% 9.39/9.62 inference(scs_inference,[],[15,40,10])).
% 9.39/9.62 cnf(93,plain,
% 9.39/9.62 (P2(f2(x931,x932),f2(f8(x931,x931),f8(x932,x932)))),
% 9.39/9.62 inference(scs_inference,[],[15,40,42,10,9])).
% 9.39/9.62 cnf(96,plain,
% 9.39/9.62 (P1(f8(f8(a1,a1),f8(a1,a1)))),
% 9.39/9.62 inference(scs_inference,[],[15,21,40,42,66,10,9,8])).
% 9.39/9.62 cnf(98,plain,
% 9.39/9.62 (E(x981,f8(x981,f8(x981,x981)))),
% 9.39/9.62 inference(scs_inference,[],[15,21,84,40,42,66,10,9,8,2])).
% 9.39/9.62 cnf(99,plain,
% 9.39/9.62 (~E(f8(f2(a5,a6),f2(a3,a7)),f8(f2(a3,a6),f2(a3,a6)))),
% 9.39/9.62 inference(scs_inference,[],[15,28,16,21,84,40,42,66,10,9,8,2,3])).
% 9.39/9.62 cnf(101,plain,
% 9.39/9.62 (~E(f8(f8(a1,a1),f8(a1,a1)),f8(a4,a4))),
% 9.39/9.62 inference(scs_inference,[],[26,96,8])).
% 9.39/9.62 cnf(102,plain,
% 9.39/9.62 (~E(f8(f2(a3,a6),f2(a3,a6)),f8(f2(a5,a6),f2(a3,a7)))),
% 9.39/9.62 inference(scs_inference,[],[26,96,99,8,2])).
% 9.39/9.62 cnf(103,plain,
% 9.39/9.62 (E(f2(f8(x1031,x1031),f8(x1032,x1032)),f2(x1031,x1032))),
% 9.39/9.62 inference(scs_inference,[],[15,26,17,96,99,8,2,3])).
% 9.39/9.62 cnf(106,plain,
% 9.39/9.62 (P2(a3,f8(f8(a5,a5),f8(a5,a5)))),
% 9.39/9.62 inference(scs_inference,[],[15,26,22,17,21,96,99,8,2,3,10])).
% 9.39/9.62 cnf(108,plain,
% 9.39/9.62 (P2(f2(x1081,x1082),f2(f8(x1081,x1081),f8(f8(x1082,x1082),f8(x1082,x1082))))),
% 9.39/9.62 inference(scs_inference,[],[15,30,26,22,17,21,93,96,99,8,2,3,10,9])).
% 9.39/9.62 cnf(111,plain,
% 9.39/9.62 (~P1(f8(a4,f8(a4,a4)))),
% 9.39/9.62 inference(scs_inference,[],[18,84,8])).
% 9.39/9.62 cnf(113,plain,
% 9.39/9.62 (E(f2(x1131,x1132),f2(f8(x1131,x1131),f8(x1132,x1132)))),
% 9.39/9.62 inference(scs_inference,[],[18,103,84,8,2])).
% 9.39/9.62 cnf(114,plain,
% 9.39/9.62 (~E(f8(f2(a5,a6),f2(a3,a7)),f2(f8(a3,a3),a6))),
% 9.39/9.62 inference(scs_inference,[],[31,18,103,38,84,8,2,3])).
% 9.39/9.62 cnf(116,plain,
% 9.39/9.62 (E(f2(x1161,x1162),f2(f8(x1161,f8(x1161,x1161)),x1162))),
% 9.39/9.62 inference(scs_inference,[],[31,18,98,103,38,84,8,2,3,6])).
% 9.39/9.62 cnf(117,plain,
% 9.39/9.62 (E(f8(x1171,x1172),f8(f8(x1171,f8(x1171,x1171)),x1172))),
% 9.39/9.62 inference(scs_inference,[],[31,18,98,103,38,84,8,2,3,6,4])).
% 9.39/9.62 cnf(118,plain,
% 9.39/9.62 (E(f8(f8(a3,a3),f8(a5,a5)),f8(a3,a3))),
% 9.39/9.62 inference(scs_inference,[],[31,18,98,103,61,38,84,8,2,3,6,4,20])).
% 9.39/9.62 cnf(120,plain,
% 9.39/9.62 (E(f2(x1201,x1202),f2(x1201,f8(x1202,f8(x1202,x1202))))),
% 9.39/9.62 inference(scs_inference,[],[31,18,98,103,61,38,84,8,2,3,6,4,20,7])).
% 9.39/9.62 cnf(121,plain,
% 9.39/9.62 (E(f8(x1211,x1212),f8(x1211,f8(x1212,f8(x1212,x1212))))),
% 9.39/9.62 inference(scs_inference,[],[31,18,98,103,61,38,84,8,2,3,6,4,20,7,5])).
% 9.39/9.62 cnf(122,plain,
% 9.39/9.62 (P1(f8(f8(a1,a1),a1))),
% 9.39/9.62 inference(scs_inference,[],[32,96,8])).
% 9.39/9.62 cnf(124,plain,
% 9.39/9.62 (~E(f8(a4,a4),f8(f8(a1,a1),f8(a1,a1)))),
% 9.39/9.62 inference(scs_inference,[],[32,101,96,8,2])).
% 9.39/9.62 cnf(125,plain,
% 9.39/9.62 (~E(f8(f2(a3,a7),f2(a5,a6)),f2(f8(a3,a3),a6))),
% 9.39/9.62 inference(scs_inference,[],[16,32,101,114,96,8,2,3])).
% 9.39/9.62 cnf(127,plain,
% 9.39/9.62 (~E(f8(f8(a1,a1),a1),f8(a4,a4))),
% 9.39/9.62 inference(scs_inference,[],[26,122,8])).
% 9.39/9.62 cnf(128,plain,
% 9.39/9.62 (E(f2(f8(x1281,f8(x1281,x1281)),x1282),f2(x1281,x1282))),
% 9.39/9.62 inference(scs_inference,[],[26,116,122,8,2])).
% 9.39/9.62 cnf(129,plain,
% 9.39/9.62 (E(f2(f8(f8(x1291,x1292),f8(x1291,x1292)),f8(x1293,x1294)),f8(f2(x1291,x1293),f2(x1292,x1294)))),
% 9.39/9.62 inference(scs_inference,[],[17,31,26,116,122,8,2,3])).
% 9.39/9.62 cnf(131,plain,
% 9.39/9.62 (P2(a3,f8(f8(a5,a5),a5))),
% 9.39/9.62 inference(scs_inference,[],[32,106,10])).
% 9.39/9.62 cnf(132,plain,
% 9.39/9.62 (E(f8(x1321,f8(x1322,x1322)),f8(x1321,x1322))),
% 9.39/9.62 inference(rename_variables,[],[32])).
% 9.39/9.62 cnf(133,plain,
% 9.39/9.62 (P2(f8(f8(x1331,x1331),x1331),f8(x1331,x1331))),
% 9.39/9.62 inference(scs_inference,[],[32,132,91,106,10,9])).
% 9.39/9.62 cnf(135,plain,
% 9.39/9.62 (E(f8(x1351,f8(x1352,x1352)),f8(x1351,x1352))),
% 9.39/9.62 inference(rename_variables,[],[32])).
% 9.39/9.62 cnf(136,plain,
% 9.39/9.62 (~P1(f8(a4,f8(f8(a4,a4),f8(a4,a4))))),
% 9.39/9.62 inference(scs_inference,[],[32,132,135,91,111,106,10,9,8])).
% 9.39/9.62 cnf(138,plain,
% 9.39/9.62 (~E(f2(f8(a3,a3),a6),f8(f2(a3,a7),f2(a5,a6)))),
% 9.39/9.62 inference(scs_inference,[],[32,132,135,91,125,111,106,10,9,8,2])).
% 9.39/9.62 cnf(139,plain,
% 9.39/9.62 (~E(f8(f2(a3,a7),f2(a5,a6)),f8(f8(f2(a3,a6),f2(a3,a6)),f2(a3,a6)))),
% 9.39/9.62 inference(scs_inference,[],[32,132,135,28,91,33,125,111,106,10,9,8,2,3])).
% 9.39/9.62 cnf(141,plain,
% 9.39/9.62 (P1(f8(f8(a1,f8(a1,a1)),a1))),
% 9.39/9.62 inference(scs_inference,[],[117,66,8])).
% 9.39/9.62 cnf(142,plain,
% 9.39/9.62 (E(f8(x1421,x1422),f8(f8(x1421,f8(x1421,x1421)),x1422))),
% 9.39/9.62 inference(rename_variables,[],[117])).
% 9.39/9.62 cnf(143,plain,
% 9.39/9.62 (E(f8(f8(x1431,f8(x1431,x1431)),x1432),f8(x1431,x1432))),
% 9.39/9.62 inference(scs_inference,[],[117,142,66,8,2])).
% 9.39/9.62 cnf(144,plain,
% 9.39/9.62 (~E(f8(f8(a4,a4),f8(a4,a4)),f8(f8(a1,a1),f8(a1,a1)))),
% 9.39/9.62 inference(scs_inference,[],[21,117,142,124,66,8,2,3])).
% 9.39/9.62 cnf(147,plain,
% 9.39/9.62 (E(f8(f8(f8(x1471,x1471),x1471),f8(x1471,x1471)),f8(f8(x1471,x1471),x1471))),
% 9.39/9.62 inference(scs_inference,[],[21,133,117,142,124,55,66,8,2,3,6,20])).
% 9.39/9.62 cnf(149,plain,
% 9.39/9.62 (E(f8(f8(a3,f8(a5,a5)),x1491),f8(a3,x1491))),
% 9.39/9.62 inference(scs_inference,[],[21,133,117,142,124,55,66,8,2,3,6,20,4])).
% 9.39/9.62 cnf(152,plain,
% 9.39/9.62 (P2(f8(f8(f8(x1521,x1521),f8(x1521,x1521)),f8(x1521,x1521)),f8(x1521,f8(x1521,x1521)))),
% 9.39/9.62 inference(scs_inference,[],[33,21,133,117,142,124,55,66,8,2,3,6,20,4,7,5,10])).
% 9.39/9.62 cnf(154,plain,
% 9.39/9.62 (P2(f8(f8(x1541,x1541),x1541),f8(x1541,x1541))),
% 9.39/9.62 inference(rename_variables,[],[133])).
% 9.39/9.62 cnf(155,plain,
% 9.39/9.62 (P2(f8(f8(x1551,x1551),f8(x1551,f8(x1551,x1551))),f8(x1551,x1551))),
% 9.39/9.62 inference(scs_inference,[],[33,21,133,154,117,142,121,124,55,66,8,2,3,6,20,4,7,5,10,9])).
% 9.39/9.62 cnf(158,plain,
% 9.39/9.62 (~E(f8(f8(a1,a1),f8(a1,a1)),f8(f8(a4,a4),f8(a4,a4)))),
% 9.39/9.62 inference(scs_inference,[],[18,144,141,8,2])).
% 9.39/9.62 cnf(159,plain,
% 9.39/9.62 (E(f8(f8(x1591,x1591),f8(x1592,x1592)),f8(x1591,x1592))),
% 9.39/9.62 inference(scs_inference,[],[18,32,33,144,141,8,2,3])).
% 9.39/9.62 cnf(161,plain,
% 9.39/9.62 (E(f8(f8(x1611,x1611),x1611),f8(f8(f8(x1611,x1611),x1611),f8(x1611,x1611)))),
% 9.39/9.62 inference(scs_inference,[],[147,2])).
% 9.39/9.62 cnf(162,plain,
% 9.39/9.62 (~E(f8(f2(a3,a7),f2(a5,a6)),f2(f8(f8(a3,a3),f8(a3,a3)),f8(a6,a6)))),
% 9.39/9.62 inference(scs_inference,[],[31,147,48,2,3])).
% 9.39/9.62 cnf(165,plain,
% 9.39/9.62 (~E(f8(f8(a4,a4),f8(a4,a4)),f8(a1,a1))),
% 9.39/9.62 inference(scs_inference,[],[21,88,162,2,3])).
% 9.39/9.62 cnf(171,plain,
% 9.39/9.62 (E(f2(x1711,f8(x1712,f8(x1712,x1712))),f2(x1711,x1712))),
% 9.39/9.62 inference(scs_inference,[],[22,32,152,120,79,10,9,2])).
% 9.39/9.62 cnf(174,plain,
% 9.39/9.62 (E(f2(f8(a3,a5),x1741),f2(a3,x1741))),
% 9.39/9.62 inference(scs_inference,[],[22,34,32,33,152,120,79,10,9,2,3,6])).
% 9.39/9.62 cnf(177,plain,
% 9.39/9.62 (E(f2(x1771,f8(a3,a5)),f2(x1771,a3))),
% 9.39/9.62 inference(scs_inference,[],[22,34,32,33,152,120,79,71,10,9,2,3,6,20,7])).
% 9.39/9.62 cnf(178,plain,
% 9.39/9.62 (E(f8(f8(a3,a5),x1781),f8(a3,x1781))),
% 9.39/9.62 inference(scs_inference,[],[22,34,32,33,152,120,79,71,10,9,2,3,6,20,7,4])).
% 9.39/9.62 cnf(179,plain,
% 9.39/9.62 (E(f8(x1791,f8(a3,a5)),f8(x1791,a3))),
% 9.39/9.62 inference(scs_inference,[],[22,34,32,33,152,120,79,71,10,9,2,3,6,20,7,4,5])).
% 9.39/9.62 cnf(180,plain,
% 9.39/9.62 (~E(f8(a1,a1),f8(f8(a4,a4),f8(a4,a4)))),
% 9.39/9.62 inference(scs_inference,[],[165,2])).
% 9.39/9.62 cnf(183,plain,
% 9.39/9.62 (P2(f2(x1831,x1832),f2(x1831,f8(f8(x1832,x1832),f8(x1832,x1832))))),
% 9.39/9.62 inference(scs_inference,[],[36,31,32,108,165,2,3,10])).
% 9.39/9.62 cnf(189,plain,
% 9.39/9.62 (E(f8(x1891,x1892),f8(f8(x1891,x1891),f8(x1892,x1892)))),
% 9.39/9.62 inference(scs_inference,[],[26,159,141,8,2])).
% 9.39/9.62 cnf(192,plain,
% 9.39/9.62 (~P1(f8(f8(a4,a4),a4))),
% 9.39/9.62 inference(scs_inference,[],[26,33,8])).
% 9.39/9.62 cnf(194,plain,
% 9.39/9.62 (~E(a4,a1)),
% 9.39/9.62 inference(scs_inference,[],[26,37,33,8,2])).
% 9.39/9.62 cnf(195,plain,
% 9.39/9.62 (E(f2(f8(x1951,f8(x1951,x1951)),f8(x1952,x1952)),f2(x1951,x1952))),
% 9.39/9.62 inference(scs_inference,[],[26,37,30,33,128,8,2,3])).
% 9.39/9.62 cnf(197,plain,
% 9.39/9.62 (P1(f8(f8(f8(a1,a1),a1),f8(a1,a1)))),
% 9.39/9.62 inference(scs_inference,[],[161,122,8])).
% 9.39/9.62 cnf(199,plain,
% 9.39/9.62 (E(f2(x1991,x1992),f2(f8(x1991,f8(x1991,x1991)),f8(x1992,x1992)))),
% 9.39/9.62 inference(scs_inference,[],[161,195,122,8,2])).
% 9.39/9.62 cnf(200,plain,
% 9.39/9.62 (~E(f8(f2(a5,a6),f2(a3,a7)),f2(a3,f8(a6,a6)))),
% 9.39/9.62 inference(scs_inference,[],[38,30,161,195,122,8,2,3])).
% 9.39/9.62 cnf(215,plain,
% 9.39/9.62 (~E(f2(f8(a3,f8(a3,a3)),f8(a6,a6)),f8(f2(a3,a7),f2(a5,a6)))),
% 9.39/9.62 inference(scs_inference,[],[36,33,155,199,189,197,139,192,59,10,9,8,2,3])).
% 9.39/9.62 cnf(217,plain,
% 9.39/9.62 (~P1(f8(f8(a4,a4),f8(a4,a4)))),
% 9.39/9.62 inference(scs_inference,[],[32,192,8])).
% 9.39/9.62 cnf(218,plain,
% 9.39/9.63 (E(f8(x2181,f8(x2182,x2182)),f8(x2181,x2182))),
% 9.39/9.63 inference(rename_variables,[],[32])).
% 9.39/9.63 cnf(219,plain,
% 9.39/9.63 (E(f8(f2(x2191,x2192),f2(x2193,x2194)),f2(f8(f8(x2191,x2193),f8(x2191,x2193)),f8(x2192,x2194)))),
% 9.39/9.63 inference(scs_inference,[],[32,129,192,8,2])).
% 9.39/9.63 cnf(220,plain,
% 9.39/9.63 (E(f8(f8(x2201,f8(x2201,x2201)),f8(x2202,x2202)),f8(x2201,x2202))),
% 9.39/9.63 inference(scs_inference,[],[32,218,143,129,192,8,2,3])).
% 9.39/9.63 cnf(222,plain,
% 9.39/9.63 (P2(f2(x2221,x2222),f2(x2221,f8(x2222,x2222)))),
% 9.39/9.63 inference(scs_inference,[],[30,32,218,183,143,129,192,8,2,3,10])).
% 9.39/9.63 cnf(224,plain,
% 9.39/9.63 (P2(f8(x2241,x2242),f8(f8(x2242,x2242),x2241))),
% 9.39/9.63 inference(scs_inference,[],[30,40,32,218,183,143,129,192,8,2,3,10,9])).
% 9.39/9.63 cnf(230,plain,
% 9.39/9.63 (~E(f2(a3,a6),f8(f8(f2(a3,a7),f2(a3,a7)),f2(a5,a6)))),
% 9.39/9.63 inference(scs_inference,[],[36,32,33,215,197,8,2,3])).
% 9.39/9.63 cnf(232,plain,
% 9.39/9.63 (~E(f8(f8(f8(a1,a1),a1),f8(a1,a1)),f8(f8(a4,a4),f8(a4,a4)))),
% 9.39/9.63 inference(scs_inference,[],[217,197,8])).
% 9.39/9.63 cnf(233,plain,
% 9.39/9.63 (E(f8(x2331,x2332),f8(f8(x2331,f8(x2331,x2331)),f8(x2332,x2332)))),
% 9.39/9.63 inference(scs_inference,[],[220,217,197,8,2])).
% 9.39/9.63 cnf(236,plain,
% 9.39/9.63 (E(f8(f8(x2361,x2362),f8(x2362,x2361)),f8(x2361,x2362))),
% 9.39/9.63 inference(scs_inference,[],[40,38,220,54,217,197,8,2,3,20])).
% 9.39/9.63 cnf(238,plain,
% 9.39/9.63 (E(f2(a3,x2381),f2(f8(a3,a5),x2381))),
% 9.39/9.63 inference(scs_inference,[],[40,38,220,54,217,79,197,8,2,3,20,6])).
% 9.39/9.63 cnf(239,plain,
% 9.39/9.63 (E(f2(x2391,a3),f2(x2391,f8(a3,a5)))),
% 9.39/9.63 inference(scs_inference,[],[40,38,220,54,217,79,197,8,2,3,20,6,7])).
% 9.39/9.63 cnf(240,plain,
% 9.39/9.63 (E(f8(a3,x2401),f8(f8(a3,a5),x2401))),
% 9.39/9.63 inference(scs_inference,[],[40,38,220,54,217,79,197,8,2,3,20,6,7,4])).
% 9.39/9.63 cnf(241,plain,
% 9.39/9.63 (E(f8(x2411,a3),f8(x2411,f8(a3,a5)))),
% 9.39/9.63 inference(scs_inference,[],[40,38,220,54,217,79,197,8,2,3,20,6,7,4,5])).
% 9.39/9.63 cnf(242,plain,
% 9.39/9.63 (~P1(f8(f8(a4,a4),f8(f8(a4,a4),f8(a4,a4))))),
% 9.39/9.63 inference(scs_inference,[],[32,217,8])).
% 9.39/9.63 cnf(245,plain,
% 9.39/9.63 (E(f8(a3,a5),f8(a3,f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[34,32,232,217,98,8,2,3])).
% 9.39/9.63 cnf(247,plain,
% 9.39/9.63 (P2(f8(f8(x2471,x2471),x2472),f8(x2472,x2471))),
% 9.39/9.63 inference(scs_inference,[],[32,40,10])).
% 9.39/9.63 cnf(249,plain,
% 9.39/9.63 (P2(f2(f8(x2491,x2491),f8(x2492,x2492)),f2(x2491,f8(x2492,x2492)))),
% 9.39/9.63 inference(scs_inference,[],[32,40,113,222,10,9])).
% 9.39/9.63 cnf(251,plain,
% 9.39/9.63 (P1(f8(a1,f8(a1,a1)))),
% 9.39/9.63 inference(scs_inference,[],[32,40,33,113,222,96,10,9,8])).
% 9.39/9.63 cnf(253,plain,
% 9.39/9.63 (E(f8(x2531,x2532),f8(f8(x2531,x2532),f8(x2532,x2531)))),
% 9.39/9.63 inference(scs_inference,[],[32,40,33,113,236,222,96,10,9,8,2])).
% 9.39/9.63 cnf(254,plain,
% 9.39/9.63 (~E(f8(a1,a1),f8(f8(a4,a4),a4))),
% 9.39/9.63 inference(scs_inference,[],[32,40,33,113,236,58,222,180,96,10,9,8,2,3])).
% 9.39/9.63 cnf(256,plain,
% 9.39/9.63 (~E(f8(a1,a1),f8(f8(a4,a4),f8(f8(a4,a4),f8(a4,a4))))),
% 9.39/9.63 inference(scs_inference,[],[242,66,8])).
% 9.39/9.63 cnf(259,plain,
% 9.39/9.63 (E(f8(f2(x2591,x2592),f2(x2593,x2594)),f2(f8(x2591,x2593),f8(x2592,x2594)))),
% 9.39/9.63 inference(rename_variables,[],[44])).
% 9.39/9.63 cnf(260,plain,
% 9.39/9.63 (P2(f8(f2(x2601,x2602),f2(x2603,x2604)),f2(f8(x2603,x2601),f8(x2604,x2602)))),
% 9.39/9.63 inference(scs_inference,[],[44,259,38,40,242,230,66,8,2,3,10])).
% 9.39/9.63 cnf(261,plain,
% 9.39/9.63 (P2(f8(x2611,x2612),f8(x2612,x2611))),
% 9.39/9.63 inference(rename_variables,[],[40])).
% 9.39/9.63 cnf(262,plain,
% 9.39/9.63 (P2(a3,f8(a5,a3))),
% 9.39/9.63 inference(scs_inference,[],[44,259,38,40,261,34,242,230,66,8,2,3,10,9])).
% 9.39/9.63 cnf(264,plain,
% 9.39/9.63 (~P1(f8(f8(f8(a4,a4),f8(a4,a4)),f8(a4,a4)))),
% 9.39/9.63 inference(scs_inference,[],[33,217,8])).
% 9.39/9.63 cnf(265,plain,
% 9.39/9.63 (E(f8(f8(x2651,x2651),x2652),f8(x2651,x2652))),
% 9.39/9.63 inference(rename_variables,[],[33])).
% 9.39/9.63 cnf(266,plain,
% 9.39/9.63 (E(f8(f2(x2661,x2662),f2(x2663,x2664)),f2(f8(x2663,x2661),f8(x2664,x2662)))),
% 9.39/9.63 inference(scs_inference,[],[33,80,217,8,2])).
% 9.39/9.63 cnf(267,plain,
% 9.39/9.63 (E(f8(f8(f2(x2671,x2672),f2(x2671,x2672)),f2(x2673,x2674)),f2(f8(x2671,x2673),f8(x2672,x2674)))),
% 9.39/9.63 inference(scs_inference,[],[33,265,44,80,217,8,2,3])).
% 9.39/9.63 cnf(271,plain,
% 9.39/9.63 (E(f8(x2711,f8(x2712,f8(x2712,x2712))),f8(x2711,x2712))),
% 9.39/9.63 inference(scs_inference,[],[33,265,44,224,80,84,217,8,2,3,20,5])).
% 9.39/9.63 cnf(272,plain,
% 9.39/9.63 (P1(f8(f8(a1,f8(a1,a1)),f8(a1,a1)))),
% 9.39/9.63 inference(scs_inference,[],[251,117,8])).
% 9.39/9.63 cnf(275,plain,
% 9.39/9.63 (E(f8(f8(x2751,x2751),x2752),f8(f8(x2751,f8(x2751,x2751)),f8(x2752,x2752)))),
% 9.39/9.63 inference(scs_inference,[],[33,233,256,251,117,8,2,3])).
% 9.39/9.63 cnf(278,plain,
% 9.39/9.63 (E(f8(f8(x2781,f8(x2781,x2781)),f8(x2782,x2782)),f8(f8(x2781,x2781),x2782))),
% 9.39/9.63 inference(scs_inference,[],[275,264,251,8,2])).
% 9.39/9.63 cnf(279,plain,
% 9.39/9.63 (~E(f2(f8(a3,a3),f8(a6,a6)),f8(f2(a5,a6),f2(a3,a7)))),
% 9.39/9.63 inference(scs_inference,[],[44,275,264,102,251,8,2,3])).
% 9.39/9.63 cnf(281,plain,
% 9.39/9.63 (P2(f8(a5,a3),a3)),
% 9.39/9.63 inference(scs_inference,[],[34,40,10])).
% 9.39/9.63 cnf(283,plain,
% 9.39/9.63 (P2(f2(f8(x2831,x2832),f8(x2833,x2834)),f2(f8(x2832,x2831),f8(x2834,x2833)))),
% 9.39/9.63 inference(scs_inference,[],[34,44,40,260,10,9])).
% 9.39/9.63 cnf(285,plain,
% 9.39/9.63 (~P1(f8(f8(a4,f8(a4,a4)),f8(a4,a4)))),
% 9.39/9.63 inference(scs_inference,[],[34,44,40,278,260,192,10,9,8])).
% 9.39/9.63 cnf(290,plain,
% 9.39/9.63 (P1(f8(f8(a1,a1),f8(a1,f8(a1,a1))))),
% 9.39/9.63 inference(scs_inference,[],[272,16,8])).
% 9.39/9.63 cnf(292,plain,
% 9.39/9.63 (E(f2(f8(x2921,x2922),f8(x2923,x2924)),f8(f8(f2(x2921,x2923),f2(x2921,x2923)),f2(x2922,x2924)))),
% 9.39/9.63 inference(scs_inference,[],[267,272,16,8,2])).
% 9.39/9.63 cnf(293,plain,
% 9.39/9.63 (~E(f8(f2(a3,a7),f2(a5,a6)),f2(a3,f8(a6,a6)))),
% 9.39/9.63 inference(scs_inference,[],[48,53,267,272,16,8,2,3])).
% 9.39/9.63 cnf(295,plain,
% 9.39/9.63 (E(f8(f8(f8(x2951,x2951),x2952),f8(x2952,x2951)),f8(f8(x2951,x2951),x2952))),
% 9.39/9.63 inference(scs_inference,[],[48,53,247,267,272,16,8,2,3,20])).
% 9.39/9.63 cnf(297,plain,
% 9.39/9.63 (P2(f8(f8(x2971,x2972),f8(x2971,x2972)),f8(f8(x2972,x2971),f8(x2972,x2971)))),
% 9.39/9.63 inference(scs_inference,[],[48,40,89,53,247,267,272,16,8,2,3,20,10])).
% 9.39/9.63 cnf(299,plain,
% 9.39/9.63 (P2(f2(x2991,f8(x2992,x2992)),f2(f8(x2991,x2991),f8(x2992,x2992)))),
% 9.39/9.63 inference(scs_inference,[],[42,48,40,89,50,53,247,267,272,16,8,2,3,20,10,9])).
% 9.39/9.63 cnf(302,plain,
% 9.39/9.63 (~E(f8(a1,f8(a1,a1)),f8(f8(a4,f8(a4,a4)),f8(a4,a4)))),
% 9.39/9.63 inference(scs_inference,[],[285,251,8])).
% 9.39/9.63 cnf(303,plain,
% 9.39/9.63 (~E(f8(f2(a5,a6),f2(a3,a7)),f2(f8(a3,a3),f8(a6,a6)))),
% 9.39/9.63 inference(scs_inference,[],[285,279,251,8,2])).
% 9.39/9.63 cnf(304,plain,
% 9.39/9.63 (~E(f2(a3,f8(a6,a6)),f8(f2(a3,a7),f2(a5,a6)))),
% 9.39/9.63 inference(scs_inference,[],[36,57,285,279,251,8,2,3])).
% 9.39/9.63 cnf(306,plain,
% 9.39/9.63 (~P1(f8(f8(f8(a4,a4),a4),f8(a4,a4)))),
% 9.39/9.63 inference(scs_inference,[],[295,192,8])).
% 9.39/9.63 cnf(307,plain,
% 9.39/9.63 (E(f8(f8(f8(x3071,x3071),x3072),f8(x3072,x3071)),f8(f8(x3071,x3071),x3072))),
% 9.39/9.63 inference(rename_variables,[],[295])).
% 9.39/9.63 cnf(309,plain,
% 9.39/9.63 (E(f8(f8(a3,a3),f8(a5,a5)),f8(f8(a3,a3),f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[295,307,253,118,192,8,2,3])).
% 9.39/9.63 cnf(311,plain,
% 9.39/9.63 (P1(f8(f8(a1,a1),f8(f8(a1,a1),a1)))),
% 9.39/9.63 inference(scs_inference,[],[86,290,8])).
% 9.39/9.63 cnf(313,plain,
% 9.39/9.63 (~E(f8(f8(a4,f8(a4,a4)),f8(a4,a4)),f8(a1,f8(a1,a1)))),
% 9.39/9.63 inference(scs_inference,[],[86,290,302,8,2])).
% 9.39/9.63 cnf(316,plain,
% 9.39/9.63 (P2(f8(f2(x3161,x3162),f2(x3161,x3162)),f2(x3161,f8(x3162,x3162)))),
% 9.39/9.63 inference(scs_inference,[],[50,40,10])).
% 9.39/9.63 cnf(317,plain,
% 9.39/9.63 (P2(f8(x3171,x3172),f8(x3172,x3171))),
% 9.39/9.63 inference(rename_variables,[],[40])).
% 9.39/9.63 cnf(318,plain,
% 9.39/9.63 (P2(f2(x3181,f8(x3182,x3182)),f8(f2(x3181,x3182),f2(x3181,x3182)))),
% 9.39/9.63 inference(scs_inference,[],[50,40,317,10,9])).
% 9.39/9.63 cnf(320,plain,
% 9.39/9.63 (~E(f8(f8(a1,a1),a1),f8(f8(f8(a4,a4),a4),f8(a4,a4)))),
% 9.39/9.63 inference(scs_inference,[],[50,40,317,306,122,10,9,8])).
% 9.39/9.63 cnf(321,plain,
% 9.39/9.63 (E(f8(f8(a3,a3),f8(a3,a3)),f8(f8(a3,a3),f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[50,40,317,309,306,122,10,9,8,2])).
% 9.39/9.63 cnf(324,plain,
% 9.39/9.63 (E(f8(a3,f8(a5,a3)),a3)),
% 9.39/9.63 inference(scs_inference,[],[51,50,40,317,309,306,262,233,122,10,9,8,2,3,20])).
% 9.39/9.63 cnf(329,plain,
% 9.39/9.63 (E(f8(x3291,f8(a3,f8(a5,a3))),f8(x3291,a3))),
% 9.39/9.63 inference(scs_inference,[],[51,50,40,317,309,306,262,233,122,10,9,8,2,3,20,6,4,7,5])).
% 9.39/9.63 cnf(330,plain,
% 9.39/9.63 (~P1(f8(f8(a4,a4),f8(a4,f8(a4,a4))))),
% 9.39/9.63 inference(scs_inference,[],[271,192,8])).
% 9.39/9.63 cnf(331,plain,
% 9.39/9.63 (E(f8(x3311,f8(x3312,f8(x3312,x3312))),f8(x3311,x3312))),
% 9.39/9.63 inference(rename_variables,[],[271])).
% 9.39/9.63 cnf(332,plain,
% 9.39/9.63 (~E(a4,f8(a1,a1))),
% 9.39/9.63 inference(scs_inference,[],[51,271,192,8,2])).
% 9.39/9.63 cnf(333,plain,
% 9.39/9.63 (E(f8(a3,a5),f8(f8(a3,a5),f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[51,271,245,240,192,8,2,3])).
% 9.39/9.63 cnf(335,plain,
% 9.39/9.63 (P2(f8(f8(x3351,f8(x3351,x3351)),x3352),f8(x3352,x3351))),
% 9.39/9.63 inference(scs_inference,[],[51,40,271,331,245,240,192,8,2,3,10])).
% 9.39/9.63 cnf(336,plain,
% 9.39/9.63 (E(f8(x3361,f8(x3362,f8(x3362,x3362))),f8(x3361,x3362))),
% 9.39/9.63 inference(rename_variables,[],[271])).
% 9.39/9.63 cnf(337,plain,
% 9.39/9.63 (P2(f8(x3371,x3372),f8(x3372,x3371))),
% 9.39/9.63 inference(rename_variables,[],[40])).
% 9.39/9.63 cnf(338,plain,
% 9.39/9.63 (P2(f8(x3381,x3382),f8(f8(x3382,f8(x3382,x3382)),x3381))),
% 9.39/9.63 inference(scs_inference,[],[51,40,337,271,331,336,245,240,192,8,2,3,10,9])).
% 9.39/9.63 cnf(343,plain,
% 9.39/9.63 (E(f8(f8(a3,a5),f8(a3,a3)),f8(a3,a5))),
% 9.39/9.63 inference(scs_inference,[],[311,333,33,8,2])).
% 9.39/9.63 cnf(344,plain,
% 9.39/9.63 (~E(f2(a3,a6),f2(f8(a3,a5),f8(a7,a6)))),
% 9.39/9.63 inference(scs_inference,[],[292,311,333,230,33,8,2,3])).
% 9.39/9.63 cnf(350,plain,
% 9.39/9.63 (~P1(f8(a4,f8(a4,f8(a4,a4))))),
% 9.39/9.63 inference(scs_inference,[],[54,330,8])).
% 9.39/9.63 cnf(351,plain,
% 9.39/9.63 (E(f8(x3511,x3512),f8(f8(x3511,x3511),x3512))),
% 9.39/9.63 inference(rename_variables,[],[54])).
% 9.39/9.63 cnf(353,plain,
% 9.39/9.63 (E(f2(x3531,f8(x3532,x3532)),f8(f8(f2(x3531,x3532),f2(x3531,x3532)),f2(x3531,x3532)))),
% 9.39/9.63 inference(scs_inference,[],[45,54,351,329,330,8,2,3])).
% 9.39/9.63 cnf(357,plain,
% 9.39/9.63 (P2(f8(f2(x3571,x3572),f2(x3573,x3574)),f2(f8(f8(x3571,x3573),f8(x3571,x3573)),f8(x3572,x3574)))),
% 9.39/9.63 inference(scs_inference,[],[42,53,10])).
% 9.39/9.63 cnf(359,plain,
% 9.39/9.63 (P2(f8(f8(f2(x3591,x3592),f2(x3591,x3592)),f2(x3593,x3594)),f2(f8(x3591,x3593),f8(x3592,x3594)))),
% 9.39/9.63 inference(scs_inference,[],[42,53,54,10,9])).
% 9.39/9.63 cnf(367,plain,
% 9.39/9.63 (E(a3,f8(a3,f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[55,350,11,8,2])).
% 9.39/9.63 cnf(368,plain,
% 9.39/9.63 (~E(f2(f8(a3,a5),f8(a7,a6)),f2(f8(a3,a3),f8(a6,a6)))),
% 9.39/9.63 inference(scs_inference,[],[44,48,55,350,11,8,2,3])).
% 9.39/9.63 cnf(370,plain,
% 9.39/9.63 (E(f2(a3,x3701),f2(f8(a3,f8(a5,a5)),x3701))),
% 9.39/9.63 inference(scs_inference,[],[44,48,55,350,11,8,2,3,6])).
% 9.39/9.63 cnf(376,plain,
% 9.39/9.63 (P2(f2(f8(f8(x3761,x3761),f8(x3761,x3761)),f8(x3762,x3762)),f2(x3761,f8(x3762,x3762)))),
% 9.39/9.63 inference(scs_inference,[],[44,45,53,48,55,249,350,11,8,2,3,6,4,7,5,10,9])).
% 9.39/9.63 cnf(380,plain,
% 9.39/9.63 (E(f8(f8(a3,a3),f8(a3,a3)),f8(f8(f8(a3,a3),f8(a3,a3)),f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[54,321,320,2,3])).
% 9.39/9.63 cnf(383,plain,
% 9.39/9.63 (~E(f8(f8(a1,a1),f8(a1,a1)),f8(a4,f8(a4,a4)))),
% 9.39/9.63 inference(scs_inference,[],[54,353,158,2,3])).
% 9.39/9.63 cnf(385,plain,
% 9.39/9.63 (E(f8(f8(a5,a3),a3),f8(a5,a3))),
% 9.39/9.63 inference(scs_inference,[],[54,353,158,281,2,3,20])).
% 9.39/9.63 cnf(387,plain,
% 9.39/9.63 (~E(f8(a4,f8(a4,a4)),f8(f8(a1,a1),f8(a1,a1)))),
% 9.39/9.63 inference(scs_inference,[],[383,2])).
% 9.39/9.63 cnf(390,plain,
% 9.39/9.63 (P2(f8(x3901,x3902),f8(f8(x3902,f8(x3902,x3902)),f8(x3901,x3901)))),
% 9.39/9.63 inference(scs_inference,[],[58,338,10])).
% 9.39/9.63 cnf(392,plain,
% 9.39/9.63 (E(f8(x3921,x3922),f8(x3921,f8(x3922,x3922)))),
% 9.39/9.63 inference(rename_variables,[],[58])).
% 9.39/9.63 cnf(393,plain,
% 9.39/9.63 (P2(f8(f8(x3931,f8(x3931,x3931)),f8(x3932,x3932)),f8(x3932,x3931))),
% 9.39/9.63 inference(scs_inference,[],[58,392,335,338,10,9])).
% 9.39/9.63 cnf(395,plain,
% 9.39/9.63 (E(f8(x3951,x3952),f8(x3951,f8(x3952,x3952)))),
% 9.39/9.63 inference(rename_variables,[],[58])).
% 9.39/9.63 cnf(396,plain,
% 9.39/9.63 (~P1(f8(f8(f8(a4,a4),f8(a4,a4)),a4))),
% 9.39/9.63 inference(scs_inference,[],[58,392,395,335,338,264,10,9,8])).
% 9.39/9.63 cnf(397,plain,
% 9.39/9.63 (E(f8(x3971,x3972),f8(x3971,f8(x3972,x3972)))),
% 9.39/9.63 inference(rename_variables,[],[58])).
% 9.39/9.63 cnf(398,plain,
% 9.39/9.63 (E(f8(f8(f8(a3,a3),f8(a3,a3)),f8(a5,a5)),f8(f8(a3,a3),f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[58,392,395,335,338,380,264,10,9,8,2])).
% 9.39/9.63 cnf(399,plain,
% 9.39/9.63 (E(f8(f8(a3,a5),f8(a3,a3)),f8(a3,f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[58,392,395,397,335,338,380,343,264,10,9,8,2,3])).
% 9.39/9.63 cnf(401,plain,
% 9.39/9.63 (~E(f2(a3,f8(a6,a6)),f8(f2(a5,a6),f2(a3,a7)))),
% 9.39/9.63 inference(scs_inference,[],[200,2])).
% 9.39/9.63 cnf(402,plain,
% 9.39/9.63 (~E(f8(a4,f8(a4,a4)),f8(f8(a1,a1),a1))),
% 9.39/9.63 inference(scs_inference,[],[58,387,200,2,3])).
% 9.39/9.63 cnf(403,plain,
% 9.39/9.63 (E(f8(x4031,x4032),f8(x4031,f8(x4032,x4032)))),
% 9.39/9.63 inference(rename_variables,[],[58])).
% 9.39/9.63 cnf(404,plain,
% 9.39/9.63 (P2(f8(a3,a3),f8(a3,f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[58,387,200,367,91,2,3,10])).
% 9.39/9.63 cnf(406,plain,
% 9.39/9.63 (P2(f8(a3,f8(a5,a5)),f8(a3,a3))),
% 9.39/9.63 inference(scs_inference,[],[58,387,200,367,73,91,2,3,10,9])).
% 9.39/9.63 cnf(408,plain,
% 9.39/9.63 (P1(f8(f8(a1,a1),f8(f8(a1,a1),f8(a1,a1))))),
% 9.39/9.63 inference(scs_inference,[],[58,403,387,200,367,73,91,96,2,3,10,9,8])).
% 9.39/9.63 cnf(410,plain,
% 9.39/9.63 (E(f8(a3,f8(a5,a5)),f8(f8(a3,a5),f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[399,2])).
% 9.39/9.63 cnf(413,plain,
% 9.39/9.63 (E(f8(a6,f8(a7,a7)),a6)),
% 9.39/9.63 inference(scs_inference,[],[59,399,194,98,2,3,20])).
% 9.39/9.63 cnf(419,plain,
% 9.39/9.63 (E(f8(f8(a6,f8(a7,a7)),x4191),f8(a6,x4191))),
% 9.39/9.63 inference(scs_inference,[],[57,59,399,194,98,2,3,20,6,7,5,8,4])).
% 9.39/9.63 cnf(422,plain,
% 9.39/9.63 (E(f8(f8(a5,a3),a3),f8(a5,f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[58,402,408,385,18,8,2,3])).
% 9.39/9.63 cnf(424,plain,
% 9.39/9.63 (P1(f8(a1,f8(f8(a1,a1),f8(a1,a1))))),
% 9.39/9.63 inference(scs_inference,[],[58,251,8])).
% 9.39/9.63 cnf(427,plain,
% 9.39/9.63 (E(f8(f8(a3,a5),a3),f8(a5,f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[58,83,422,251,8,2,3])).
% 9.39/9.63 cnf(429,plain,
% 9.39/9.63 (P2(f8(a3,a3),f8(a5,f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[61,58,10])).
% 9.39/9.63 cnf(430,plain,
% 9.39/9.63 (E(f8(x4301,x4302),f8(x4301,f8(x4302,x4302)))),
% 9.39/9.63 inference(rename_variables,[],[58])).
% 9.39/9.63 cnf(431,plain,
% 9.39/9.63 (P2(f8(a3,f8(a3,a3)),f8(a5,a5))),
% 9.39/9.63 inference(scs_inference,[],[61,58,430,10,9])).
% 9.39/9.63 cnf(434,plain,
% 9.39/9.63 (~E(f8(a4,f8(a4,a4)),f8(a1,a1))),
% 9.39/9.63 inference(scs_inference,[],[61,58,430,332,368,98,10,9,2,3])).
% 9.39/9.63 cnf(439,plain,
% 9.39/9.63 (E(f8(a5,f8(a3,a3)),f8(f8(a3,a5),a3))),
% 9.39/9.63 inference(scs_inference,[],[427,424,26,8,2])).
% 9.39/9.63 cnf(440,plain,
% 9.39/9.63 (E(f8(a3,f8(a5,a5)),f8(f8(f8(a3,a5),f8(a3,a5)),f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[54,410,427,424,26,8,2,3])).
% 9.39/9.63 cnf(441,plain,
% 9.39/9.63 (E(f8(x4411,x4412),f8(f8(x4411,x4411),x4412))),
% 9.39/9.63 inference(rename_variables,[],[54])).
% 9.39/9.63 cnf(442,plain,
% 9.39/9.63 (E(f8(f8(a3,f8(a5,a5)),f8(a3,a3)),f8(a3,f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[54,406,410,427,424,26,8,2,3,20])).
% 9.39/9.63 cnf(445,plain,
% 9.39/9.63 (E(f8(x4451,x4452),f8(f8(x4451,x4451),x4452))),
% 9.39/9.63 inference(rename_variables,[],[54])).
% 9.39/9.63 cnf(446,plain,
% 9.39/9.63 (P2(f8(f8(a3,a3),a3),f8(a5,a5))),
% 9.39/9.63 inference(scs_inference,[],[59,61,54,441,445,406,410,427,424,26,8,2,3,20,10,9])).
% 9.39/9.63 cnf(449,plain,
% 9.39/9.63 (E(f8(a3,a5),f8(f8(f8(a3,a5),f8(a3,a5)),f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[58,434,440,2,3])).
% 9.39/9.63 cnf(451,plain,
% 9.39/9.63 (E(f8(f8(f8(a3,a5),f8(a3,a5)),f8(a3,a3)),f8(a3,a5))),
% 9.39/9.63 inference(scs_inference,[],[449,2])).
% 9.39/9.63 cnf(452,plain,
% 9.39/9.63 (~E(f8(f8(f2(a3,a7),f2(a3,a7)),f2(a5,a6)),f2(a3,f8(a6,a6)))),
% 9.39/9.63 inference(scs_inference,[],[54,449,293,2,3])).
% 9.39/9.63 cnf(457,plain,
% 9.39/9.63 (E(f8(f2(x4571,x4572),f2(x4573,x4574)),f2(f8(f8(x4573,x4571),f8(x4573,x4571)),f8(x4574,x4572)))),
% 9.39/9.63 inference(scs_inference,[],[53,266,452,2,3])).
% 9.39/9.63 cnf(460,plain,
% 9.39/9.63 (P2(f8(a3,a3),f8(f8(a5,a5),a5))),
% 9.39/9.63 inference(scs_inference,[],[54,61,10])).
% 9.39/9.63 cnf(462,plain,
% 9.39/9.63 (P2(f8(a6,f8(a6,a6)),f8(a7,a7))),
% 9.39/9.63 inference(scs_inference,[],[54,59,61,98,10,9])).
% 9.39/9.63 cnf(464,plain,
% 9.39/9.63 (~E(f8(a1,a1),f8(f8(f8(a4,a4),f8(a4,a4)),a4))),
% 9.39/9.63 inference(scs_inference,[],[54,59,61,66,396,98,10,9,8])).
% 9.39/9.63 cnf(465,plain,
% 9.39/9.63 (E(f2(f8(f8(x4651,x4652),f8(x4651,x4652)),f8(x4653,x4654)),f8(f2(x4652,x4654),f2(x4651,x4653)))),
% 9.39/9.63 inference(scs_inference,[],[54,59,61,66,457,396,98,10,9,8,2])).
% 9.39/9.63 cnf(466,plain,
% 9.39/9.63 (E(f2(a3,x4661),f2(f8(a3,f8(a5,a5)),f8(x4661,x4661)))),
% 9.39/9.63 inference(scs_inference,[],[54,57,59,61,66,457,396,370,98,10,9,8,2,3])).
% 9.39/9.63 cnf(469,plain,
% 9.39/9.63 (E(f8(f8(a3,a3),f8(a3,f8(a5,a5))),f8(a3,a3))),
% 9.39/9.63 inference(scs_inference,[],[54,57,59,61,66,457,404,396,370,98,10,9,8,2,3,20])).
% 9.39/9.63 cnf(471,plain,
% 9.39/9.63 (P1(f8(f8(f8(a1,a1),f8(a1,a1)),f8(a1,a1)))),
% 9.39/9.63 inference(scs_inference,[],[54,96,8])).
% 9.39/9.63 cnf(472,plain,
% 9.39/9.63 (E(f8(x4721,x4722),f8(f8(x4721,x4721),x4722))),
% 9.39/9.63 inference(rename_variables,[],[54])).
% 9.39/9.63 cnf(474,plain,
% 9.39/9.63 (~E(f8(f8(f2(a5,a6),f2(a5,a6)),f2(a3,a7)),f2(f8(a3,a3),f8(a6,a6)))),
% 9.39/9.63 inference(scs_inference,[],[54,472,464,303,96,8,2,3])).
% 9.39/9.63 cnf(476,plain,
% 9.39/9.63 (P2(a6,f8(a7,f8(a7,a7)))),
% 9.39/9.63 inference(scs_inference,[],[54,472,59,58,464,303,96,8,2,3,10])).
% 9.39/9.63 cnf(482,plain,
% 9.39/9.63 (E(f8(f8(f8(a3,a5),f8(a3,a5)),f8(a3,a3)),f8(f8(a5,a3),f8(a5,a3)))),
% 9.39/9.63 inference(scs_inference,[],[68,469,451,2,3])).
% 9.39/9.63 cnf(485,plain,
% 9.39/9.63 (~E(f8(a1,a1),f8(a4,f8(f8(a4,a4),f8(a4,a4))))),
% 9.39/9.63 inference(scs_inference,[],[66,136,8])).
% 9.39/9.63 cnf(487,plain,
% 9.39/9.63 (~E(f8(f8(f2(a5,a6),f2(a5,a6)),f2(a3,a7)),f2(f8(a3,a3),a6))),
% 9.39/9.63 inference(scs_inference,[],[57,66,127,474,136,8,2,3])).
% 9.39/9.63 cnf(489,plain,
% 9.39/9.63 (E(f8(a3,f8(a5,a5)),f8(f8(a3,f8(a5,a5)),f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[442,2])).
% 9.39/9.63 cnf(490,plain,
% 9.39/9.63 (~E(f8(f8(a1,a1),f8(a1,a1)),f8(f8(a4,a4),a4))),
% 9.39/9.63 inference(scs_inference,[],[68,442,254,2,3])).
% 9.39/9.63 cnf(492,plain,
% 9.39/9.63 (E(f8(f8(a3,f8(a3,a3)),f8(a5,a5)),f8(a3,f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[68,442,431,254,2,3,20])).
% 9.39/9.63 cnf(494,plain,
% 9.39/9.63 (P2(f8(a3,a3),f8(f8(a5,a5),f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[68,61,10])).
% 9.39/9.63 cnf(495,plain,
% 9.39/9.63 (E(f8(x4951,x4952),f8(f8(x4952,x4951),f8(x4952,x4951)))),
% 9.39/9.63 inference(rename_variables,[],[68])).
% 9.39/9.63 cnf(499,plain,
% 9.39/9.63 (E(f8(f8(f8(a3,a3),f8(a3,a3)),f8(a5,a5)),f8(a3,a3))),
% 9.39/9.63 inference(scs_inference,[],[64,68,495,61,485,398,10,9,2,3])).
% 9.39/9.63 cnf(504,plain,
% 9.39/9.63 (~E(f2(f8(a3,a3),f8(a6,a6)),f2(f8(f8(a5,a3),f8(a5,a3)),f8(a6,a7)))),
% 9.39/9.63 inference(scs_inference,[],[63,465,499,242,11,8,2,3])).
% 9.39/9.63 cnf(506,plain,
% 9.39/9.63 (P2(a5,f8(f8(a5,a5),f8(f8(a5,a5),f8(a5,a5))))),
% 9.39/9.63 inference(scs_inference,[],[58,63,71,465,499,242,11,8,2,3,10])).
% 9.39/9.63 cnf(509,plain,
% 9.39/9.63 (~P1(f8(f8(a4,f8(a4,a4)),a4))),
% 9.39/9.63 inference(scs_inference,[],[58,285,8])).
% 9.39/9.63 cnf(512,plain,
% 9.39/9.63 (~E(f2(f8(a3,f8(a5,a5)),f8(a6,a6)),f8(f2(a5,a6),f2(a3,a7)))),
% 9.39/9.63 inference(scs_inference,[],[58,69,490,466,285,8,2,3])).
% 9.39/9.63 cnf(514,plain,
% 9.39/9.63 (E(f8(f8(a5,a3),f8(a5,a3)),f8(f8(f8(a3,a5),f8(a3,a5)),f8(a3,a3)))),
% 9.39/9.63 inference(scs_inference,[],[482,2])).
% 9.39/9.63 cnf(515,plain,
% 9.39/9.63 (E(f2(f8(a3,a5),f8(x5151,f8(x5151,x5151))),f2(a3,x5151))),
% 9.39/9.63 inference(scs_inference,[],[171,482,174,2,3])).
% 9.39/9.63 cnf(518,plain,
% 9.39/9.63 (E(f8(f8(a3,a3),f8(f8(a5,a5),f8(a5,a5))),f8(a3,a3))),
% 9.39/9.63 inference(scs_inference,[],[171,494,482,174,2,3,20])).
% 9.39/9.63 cnf(522,plain,
% 9.39/9.63 (~E(f8(f2(a5,a6),f2(a3,a7)),f2(f8(a3,f8(a5,a5)),f8(a6,a6)))),
% 9.39/9.63 inference(scs_inference,[],[66,512,509,8,2])).
% 9.39/9.63 cnf(531,plain,
% 9.39/9.63 (~E(f2(f8(a3,a5),a6),f8(f2(a5,a6),f2(a3,a7)))),
% 9.39/9.63 inference(scs_inference,[],[69,71,359,82,518,238,98,10,9,2,3])).
% 9.39/9.63 cnf(533,plain,
% 9.39/9.63 (~E(f2(f8(f8(a5,a3),f8(a5,a3)),f8(a6,a7)),f2(f8(a3,a3),f8(a6,a6)))),
% 9.39/9.63 inference(scs_inference,[],[504,2])).
% 9.39/9.63 cnf(534,plain,
% 9.39/9.63 (E(f8(f2(x5341,x5342),f2(x5343,x5344)),f2(f8(f8(x5341,x5343),f8(x5341,x5343)),f8(x5344,x5342)))),
% 9.39/9.63 inference(scs_inference,[],[219,87,504,2,3])).
% 9.39/9.63 cnf(542,plain,
% 9.39/9.63 (~E(f2(f8(a3,a3),f8(a6,a6)),f8(f2(a5,a7),f2(a3,a6)))),
% 9.39/9.63 inference(scs_inference,[],[534,504,2,3])).
% 9.39/9.63 cnf(544,plain,
% 9.39/9.63 (E(f8(f8(f8(a3,a3),a3),f8(a5,a5)),f8(f8(a3,a3),a3))),
% 9.39/9.63 inference(scs_inference,[],[534,446,504,2,3,20])).
% 9.39/9.63 cnf(549,plain,
% 9.39/9.63 (~E(f8(a1,a1),f8(f8(f8(a4,a4),a4),f8(a4,a4)))),
% 9.39/9.63 inference(scs_inference,[],[76,68,66,487,306,2,3,8])).
% 9.39/9.63 cnf(550,plain,
% 9.39/9.63 (E(f8(a3,f8(a3,a3)),f8(f8(a3,f8(a3,a3)),f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[492,2])).
% 9.39/9.63 cnf(551,plain,
% 9.39/9.63 (E(f8(f8(a3,a5),x5511),f8(f8(x5511,a3),f8(x5511,a3)))),
% 9.39/9.63 inference(scs_inference,[],[68,492,178,2,3])).
% 9.39/9.63 cnf(558,plain,
% 9.39/9.63 (P2(f2(f8(x5581,x5582),f8(x5583,x5584)),f2(f8(x5582,x5581),f8(x5584,x5583)))),
% 9.39/9.63 inference(rename_variables,[],[283])).
% 9.39/9.63 cnf(561,plain,
% 9.39/9.63 (~E(f8(a1,a1),f8(f8(f8(a4,a4),f8(a4,a4)),f8(a4,a4)))),
% 9.39/9.63 inference(scs_inference,[],[66,283,558,515,264,10,9,8])).
% 9.39/9.63 cnf(562,plain,
% 9.39/9.63 (~E(f8(f8(f8(a4,a4),a4),f8(a4,a4)),f8(a1,a1))),
% 9.39/9.63 inference(scs_inference,[],[66,283,558,549,515,264,10,9,8,2])).
% 9.39/9.63 cnf(563,plain,
% 9.39/9.63 (E(f8(f8(a3,x5631),f8(a3,x5631)),f8(x5631,f8(a3,a5)))),
% 9.39/9.63 inference(scs_inference,[],[64,66,283,558,549,515,241,264,10,9,8,2,3])).
% 9.39/9.63 cnf(569,plain,
% 9.39/9.63 (E(f8(f8(a3,a3),f8(f8(a5,a5),a5)),f8(a3,a3))),
% 9.39/9.63 inference(scs_inference,[],[69,544,460,199,2,3,20])).
% 9.39/9.63 cnf(571,plain,
% 9.39/9.63 (P2(x5711,f8(f8(x5711,x5711),f8(x5711,x5711)))),
% 9.39/9.63 inference(scs_inference,[],[69,73,68,544,460,199,2,3,20,10])).
% 9.39/9.63 cnf(573,plain,
% 9.39/9.63 (P2(f8(a3,a5),f8(a3,a3))),
% 9.39/9.63 inference(scs_inference,[],[69,73,79,68,544,460,199,2,3,20,10,9])).
% 9.39/9.63 cnf(581,plain,
% 9.39/9.63 (E(f2(a3,x5811),f2(f8(f8(a5,a3),f8(a5,a3)),x5811))),
% 9.39/9.63 inference(scs_inference,[],[79,68,561,396,11,8,2,3,6])).
% 9.39/9.63 cnf(582,plain,
% 9.39/9.63 (E(f2(x5821,a3),f2(x5821,f8(f8(a5,a3),f8(a5,a3))))),
% 9.39/9.63 inference(scs_inference,[],[79,68,561,396,11,8,2,3,6,7])).
% 9.39/9.63 cnf(583,plain,
% 9.39/9.63 (E(f8(a3,x5831),f8(f8(f8(a5,a3),f8(a5,a3)),x5831))),
% 9.39/9.63 inference(scs_inference,[],[79,68,561,396,11,8,2,3,6,7,4])).
% 9.39/9.63 cnf(584,plain,
% 9.39/9.63 (E(f8(x5841,a3),f8(x5841,f8(f8(a5,a3),f8(a5,a3))))),
% 9.39/9.63 inference(scs_inference,[],[79,68,561,396,11,8,2,3,6,7,4,5])).
% 9.39/9.63 cnf(585,plain,
% 9.39/9.63 (E(f8(a3,a3),f8(f8(a3,a3),f8(f8(a5,a5),a5)))),
% 9.39/9.63 inference(scs_inference,[],[569,2])).
% 9.39/9.63 cnf(586,plain,
% 9.39/9.63 (~E(f8(f2(a5,a6),f2(a3,a7)),f2(f8(f8(a5,a5),a3),f8(a6,a6)))),
% 9.39/9.63 inference(scs_inference,[],[82,522,569,2,3])).
% 9.39/9.63 cnf(588,plain,
% 9.39/9.63 (~E(f2(f8(f8(a5,a5),a3),f8(a6,a6)),f8(f2(a5,a6),f2(a3,a7)))),
% 9.39/9.63 inference(scs_inference,[],[586,2])).
% 9.39/9.63 cnf(589,plain,
% 9.39/9.63 (~E(f2(f8(f8(a5,a3),f8(a5,a3)),f8(a6,a6)),f8(f2(a3,a7),f2(a5,a6)))),
% 9.39/9.63 inference(scs_inference,[],[586,304,581,2,3])).
% 9.39/9.63 cnf(591,plain,
% 9.39/9.63 (P2(f8(x5911,x5912),f8(f8(x5912,x5911),f8(x5911,x5912)))),
% 9.39/9.63 inference(scs_inference,[],[83,73,10])).
% 9.39/9.63 cnf(593,plain,
% 9.39/9.63 (E(f8(f8(x5931,x5932),x5933),f8(f8(x5932,x5931),x5933))),
% 9.39/9.63 inference(rename_variables,[],[83])).
% 9.39/9.63 cnf(594,plain,
% 9.39/9.63 (P2(f8(f8(x5941,x5942),f8(x5942,x5941)),f8(f8(x5941,x5942),f8(x5941,x5942)))),
% 9.39/9.63 inference(scs_inference,[],[83,593,73,297,10,9])).
% 9.39/9.63 cnf(596,plain,
% 9.39/9.63 (E(f8(f8(x5961,x5962),x5963),f8(f8(x5962,x5961),x5963))),
% 9.39/9.63 inference(rename_variables,[],[83])).
% 9.39/9.63 cnf(597,plain,
% 9.39/9.63 (~P1(f8(f8(f8(a4,a4),a4),a4))),
% 9.39/9.63 inference(scs_inference,[],[83,593,596,73,297,509,10,9,8])).
% 9.39/9.63 cnf(599,plain,
% 9.39/9.63 (E(f8(f8(x5991,a3),f8(x5991,a3)),f8(f8(a3,a5),x5991))),
% 9.39/9.63 inference(scs_inference,[],[83,593,596,73,297,551,509,10,9,8,2])).
% 9.39/9.63 cnf(602,plain,
% 9.39/9.63 (E(f8(x6021,f8(f8(x6021,x6021),f8(x6021,x6021))),x6021)),
% 9.39/9.63 inference(scs_inference,[],[83,593,596,73,79,571,297,551,583,509,10,9,8,2,3,20])).
% 9.39/9.63 cnf(605,plain,
% 9.39/9.63 (E(f8(a3,f8(f8(a3,a3),f8(a3,a3))),f8(a3,a5))),
% 9.39/9.63 inference(scs_inference,[],[79,602,589,2,3])).
% 9.39/9.63 cnf(613,plain,
% 9.39/9.63 (E(f8(x6131,f8(a3,a5)),f8(f8(a3,x6131),f8(a3,x6131)))),
% 9.39/9.63 inference(scs_inference,[],[563,597,11,8,2])).
% 9.39/9.63 cnf(614,plain,
% 9.39/9.63 (~E(f8(a1,f8(a1,f8(a1,a1))),f8(a4,a4))),
% 9.39/9.63 inference(scs_inference,[],[77,563,597,121,11,8,2,3])).
% 9.39/9.63 cnf(617,plain,
% 9.39/9.63 (E(a3,f8(f8(a3,a3),f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[79,614,189,2,3])).
% 9.39/9.63 cnf(621,plain,
% 9.39/9.63 (E(f8(a3,x6211),f8(f8(f8(a3,a3),f8(a5,a5)),x6211))),
% 9.39/9.63 inference(scs_inference,[],[79,614,189,2,3,6,7,4])).
% 9.39/9.63 cnf(623,plain,
% 9.39/9.63 (~P1(f8(a4,f8(f8(a4,a4),a4)))),
% 9.39/9.63 inference(scs_inference,[],[86,350,8])).
% 9.39/9.63 cnf(625,plain,
% 9.39/9.63 (E(f2(x6251,f8(f8(a5,a3),f8(a5,a3))),f2(x6251,a3))),
% 9.39/9.63 inference(scs_inference,[],[86,582,350,8,2])).
% 9.39/9.63 cnf(626,plain,
% 9.39/9.63 (~E(f2(f8(f8(a5,a5),a3),f8(a6,a6)),f2(f8(a3,a5),f8(a7,a6)))),
% 9.39/9.63 inference(scs_inference,[],[80,86,588,582,350,8,2,3])).
% 9.39/9.63 cnf(628,plain,
% 9.39/9.63 (E(f8(f8(x6281,x6282),f8(f8(x6282,x6281),f8(x6281,x6282))),f8(x6281,x6282))),
% 9.39/9.63 inference(scs_inference,[],[80,86,591,588,582,350,8,2,3,20])).
% 9.39/9.63 cnf(632,plain,
% 9.39/9.63 (E(f8(f8(x6321,x6322),x6323),f8(f8(x6322,x6321),x6323))),
% 9.39/9.63 inference(rename_variables,[],[83])).
% 9.39/9.63 cnf(633,plain,
% 9.39/9.63 (P2(f2(f8(x6331,x6332),f8(x6333,x6333)),f2(f8(f8(x6332,x6331),f8(x6332,x6331)),f8(x6333,x6333)))),
% 9.39/9.63 inference(scs_inference,[],[82,83,299,390,10,9])).
% 9.39/9.63 cnf(636,plain,
% 9.39/9.63 (~E(f2(f8(a3,a5),f8(a7,a6)),f2(f8(f8(a5,a5),a3),f8(a6,a6)))),
% 9.39/9.63 inference(scs_inference,[],[82,83,299,390,626,10,9,2])).
% 9.39/9.63 cnf(637,plain,
% 9.39/9.63 (~E(f8(f8(a4,f8(a4,a4)),f8(a4,a4)),f8(a1,a1))),
% 9.39/9.63 inference(scs_inference,[],[82,83,632,299,390,562,626,10,9,2,3])).
% 9.39/9.63 cnf(641,plain,
% 9.39/9.63 (E(f8(x6411,x6412),f8(f8(x6411,x6412),f8(f8(x6412,x6411),f8(x6411,x6412))))),
% 9.39/9.63 inference(scs_inference,[],[628,623,11,8,2])).
% 9.39/9.63 cnf(644,plain,
% 9.39/9.63 (P2(f8(a5,a3),f8(f8(a3,a3),f8(a5,a5)))),
% 9.39/9.63 inference(scs_inference,[],[79,628,621,623,617,281,11,8,2,3,10])).
% 9.39/9.63 cnf(646,plain,
% 9.39/9.64 (~E(f8(a1,a1),f8(f8(a4,f8(a4,a4)),f8(a4,a4)))),
% 9.39/9.64 inference(scs_inference,[],[637,2])).
% 9.39/9.64 cnf(654,plain,
% 9.39/9.64 (~E(f8(a1,a1),f8(f8(f8(a4,a4),a4),a4))),
% 9.39/9.64 inference(scs_inference,[],[77,641,644,584,597,66,2,3,20,8])).
% 9.39/9.64 cnf(666,plain,
% 9.39/9.64 (P2(f8(f8(x6661,x6662),f8(x6662,x6661)),f8(f8(x6662,x6661),f8(x6662,x6661)))),
% 9.39/9.64 inference(scs_inference,[],[89,594,10])).
% 9.39/9.64 cnf(671,plain,
% 9.39/9.64 (~E(f8(f8(f8(a1,a1),f8(a1,a1)),f8(a1,a1)),f8(a4,f8(a4,a4)))),
% 9.39/9.64 inference(scs_inference,[],[89,83,594,393,471,111,10,9,8])).
% 9.39/9.64 cnf(676,plain,
% 9.39/9.64 (~E(f8(f8(a1,a1),f8(a1,a1)),f8(f8(a4,f8(a4,a4)),f8(a4,a4)))),
% 9.39/9.64 inference(scs_inference,[],[671,646,253,2,3])).
% 9.39/9.64 cnf(678,plain,
% 9.39/9.64 (P2(f8(a3,a3),f8(a3,a5))),
% 9.39/9.64 inference(scs_inference,[],[79,671,646,253,91,2,3,10])).
% 9.39/9.64 cnf(680,plain,
% 9.39/9.64 (P2(f8(a3,a5),f8(f8(a3,a3),f8(a3,a3)))),
% 9.39/9.64 inference(scs_inference,[],[79,671,646,571,253,91,2,3,10,9])).
% 9.39/9.64 cnf(683,plain,
% 9.39/9.64 (~E(f8(a1,a1),f8(a4,f8(f8(a4,a4),a4)))),
% 9.39/9.64 inference(scs_inference,[],[623,66,8])).
% 9.39/9.64 cnf(685,plain,
% 9.39/9.64 (E(f2(f8(x6851,x6852),f8(x6853,x6854)),f2(f8(f8(x6852,x6851),f8(x6852,x6851)),f8(x6854,x6853)))),
% 9.39/9.64 inference(scs_inference,[],[80,605,219,623,66,8,2,3])).
% 9.39/9.64 cnf(687,plain,
% 9.39/9.64 (E(f8(f8(a3,a3),f8(a3,a5)),f8(a3,a3))),
% 9.39/9.64 inference(scs_inference,[],[80,678,605,219,623,66,8,2,3,20])).
% 9.39/9.64 cnf(689,plain,
% 9.39/9.64 (~P1(f8(f8(a4,a4),f8(f8(a4,a4),a4)))),
% 9.39/9.64 inference(scs_inference,[],[86,330,8])).
% 9.39/9.64 cnf(691,plain,
% 9.39/9.64 (~E(f8(f8(a4,f8(a4,a4)),f8(a4,a4)),f8(f8(a1,a1),f8(a1,a1)))),
% 9.39/9.64 inference(scs_inference,[],[86,676,330,8,2])).
% 9.39/9.64 cnf(692,plain,
% 9.39/9.64 (~E(f2(a3,f8(a6,a6)),f2(f8(a3,a5),f8(a7,a6)))),
% 9.39/9.64 inference(scs_inference,[],[80,86,676,401,330,8,2,3])).
% 9.39/9.64 cnf(694,plain,
% 9.39/9.64 (E(f2(f8(f8(x6941,x6942),f8(x6941,x6942)),f8(x6943,x6944)),f2(f8(x6942,x6941),f8(x6944,x6943)))),
% 9.39/9.64 inference(scs_inference,[],[685,2])).
% 9.39/9.64 cnf(695,plain,
% 9.39/9.64 (~E(f8(f8(f8(a4,a4),a4),f8(a4,a4)),f8(f8(a1,a1),f8(a1,a1)))),
% 9.39/9.64 inference(scs_inference,[],[83,685,691,2,3])).
% 9.39/9.64 cnf(698,plain,
% 9.39/9.64 (P2(f2(x6981,f8(x6982,x6982)),f2(f8(f8(x6981,x6981),f8(x6981,x6981)),f8(x6982,x6982)))),
% 9.39/9.64 inference(scs_inference,[],[318,457,10])).
% 9.39/9.64 cnf(701,plain,
% 9.39/9.64 (P2(f2(f8(x7011,x7012),x7013),f2(f8(f8(x7012,x7011),f8(x7012,x7011)),f8(x7013,x7013)))),
% 9.39/9.64 inference(scs_inference,[],[82,93,318,457,10,9])).
% 9.39/9.64 cnf(704,plain,
% 9.39/9.64 (E(f2(f8(f8(x7041,x7042),f8(x7041,x7042)),f8(x7043,x7044)),f2(f8(x7041,x7042),f8(x7044,x7043)))),
% 9.39/9.64 inference(scs_inference,[],[82,93,318,694,695,457,10,9,2,3])).
% 9.39/9.64 cnf(709,plain,
% 9.39/9.64 (~E(f8(f8(a1,a1),f8(a1,a1)),f8(f8(f8(a4,a4),f8(a4,a4)),f8(a4,a4)))),
% 9.39/9.64 inference(scs_inference,[],[96,264,8])).
% 9.39/9.64 cnf(710,plain,
% 9.39/9.64 (E(f2(f8(x7101,x7102),f8(x7103,x7104)),f2(f8(f8(x7101,x7102),f8(x7101,x7102)),f8(x7104,x7103)))),
% 9.39/9.64 inference(scs_inference,[],[96,704,264,8,2])).
% 9.39/9.64 cnf(711,plain,
% 9.39/9.64 (~E(f2(a3,f8(a6,a6)),f2(f8(a3,a5),f8(a6,a7)))),
% 9.39/9.64 inference(scs_inference,[],[87,96,704,692,264,8,2,3])).
% 9.39/9.64 cnf(715,plain,
% 9.39/9.64 (P2(f2(x7151,f8(a5,a3)),f2(f8(x7151,x7151),a3))),
% 9.39/9.64 inference(scs_inference,[],[93,87,96,704,692,625,264,8,2,3,20,10])).
% 9.39/9.64 cnf(718,plain,
% 9.39/9.64 (P2(f8(f8(x7181,x7182),f8(x7182,x7181)),f8(x7182,x7181))),
% 9.39/9.64 inference(scs_inference,[],[83,93,87,91,96,704,692,625,264,8,2,3,20,10,9])).
% 9.39/9.64 cnf(722,plain,
% 9.39/9.64 (~E(f8(f8(f8(a4,a4),a4),f8(a4,a4)),f8(a1,f8(a1,a1)))),
% 9.39/9.64 inference(scs_inference,[],[83,709,313,2,3])).
% 9.39/9.64 cnf(726,plain,
% 9.39/9.64 (E(f8(a3,a3),f8(f8(a3,a3),f8(a3,a5)))),
% 9.39/9.64 inference(scs_inference,[],[687,689,66,8,2])).
% 9.39/9.64 cnf(727,plain,
% 9.39/9.64 (E(f8(a3,a3),f8(f8(a3,a3),f8(a5,f8(a5,a5))))),
% 9.39/9.64 inference(scs_inference,[],[86,687,585,689,66,8,2,3])).
% 9.39/9.64 cnf(734,plain,
% 9.39/9.64 (E(f2(x7341,f8(x7342,x7343)),f2(x7341,f8(x7343,x7342)))),
% 9.39/9.64 inference(rename_variables,[],[87])).
% 9.39/9.64 cnf(735,plain,
% 9.39/9.64 (P2(f8(f8(x7351,x7352),f8(x7352,x7351)),f8(x7351,x7352))),
% 9.39/9.64 inference(scs_inference,[],[86,87,91,357,10,9])).
% 9.39/9.64 cnf(739,plain,
% 9.39/9.64 (~E(f2(f8(a3,a5),f8(a6,a7)),f2(f8(f8(a5,a5),a3),f8(a6,a6)))),
% 9.39/9.64 inference(scs_inference,[],[86,87,734,91,357,636,727,10,9,2,3])).
% 9.39/9.64 cnf(741,plain,
% 9.39/9.64 (E(f8(f8(f8(x7411,x7412),f8(x7412,x7411)),f8(x7412,x7411)),f8(f8(x7411,x7412),f8(x7412,x7411)))),
% 9.39/9.64 inference(scs_inference,[],[86,87,734,91,718,357,636,727,10,9,2,3,20])).
% 9.39/9.64 cnf(744,plain,
% 9.39/9.64 (E(f8(f8(f8(x7441,x7442),f8(x7442,x7441)),f8(x7442,x7441)),f8(f8(x7441,x7442),f8(x7441,x7442)))),
% 9.39/9.64 inference(scs_inference,[],[86,741,722,2,3])).
% 9.39/9.64 cnf(748,plain,
% 9.39/9.64 (P2(f8(x7481,x7481),x7481)),
% 9.39/9.64 inference(rename_variables,[],[91])).
% 9.39/9.64 cnf(749,plain,
% 9.39/9.64 (P2(f8(f8(x7491,x7492),f8(x7491,x7492)),f8(x7492,x7491))),
% 9.39/9.64 inference(scs_inference,[],[86,89,91,748,741,726,722,2,3,10,9])).
% 9.39/9.64 cnf(752,plain,
% 9.39/9.64 (E(f8(f8(a3,a5),f8(a3,a5)),f8(f8(f8(a3,a5),f8(a3,a5)),f8(a3,a3)))),
% 9.39/9.64 inference(scs_inference,[],[89,744,514,2,3])).
% 9.39/9.64 cnf(755,plain,
% 9.39/9.64 (~E(a1,f8(a4,f8(f8(a4,a4),f8(a4,a4))))),
% 9.39/9.64 inference(scs_inference,[],[136,11,8])).
% 9.39/9.64 cnf(757,plain,
% 9.39/9.64 (~E(f2(f8(f8(a5,a3),f8(a5,a3)),f8(a7,a6)),f2(f8(a3,a3),f8(a6,a6)))),
% 9.39/9.64 inference(scs_inference,[],[87,711,533,136,11,8,2,3])).
% 9.39/9.64 cnf(760,plain,
% 9.39/9.64 (E(a3,f8(f8(a3,f8(a3,a3)),f8(a5,a5)))),
% 9.39/9.64 inference(scs_inference,[],[98,752,550,2,3])).
% 9.39/9.64 cnf(762,plain,
% 9.39/9.64 (E(f8(f8(f8(x7621,x7622),f8(x7622,x7621)),f8(x7621,x7622)),f8(f8(x7621,x7622),f8(x7622,x7621)))),
% 9.39/9.64 inference(scs_inference,[],[98,735,752,550,2,3,20])).
% 9.39/9.64 cnf(765,plain,
% 9.39/9.64 (E(x7651,f8(x7651,f8(x7651,x7651)))),
% 9.39/9.64 inference(rename_variables,[],[98])).
% 9.39/9.64 cnf(768,plain,
% 9.39/9.64 (~E(f2(f8(a3,a3),f8(a6,a6)),f2(f8(f8(a5,a3),f8(a5,a3)),f8(a7,a6)))),
% 9.39/9.64 inference(scs_inference,[],[98,765,573,757,10,9,2])).
% 9.39/9.64 cnf(769,plain,
% 9.39/9.64 (E(f8(f8(a3,x7691),f8(a3,x7691)),f8(f8(a3,a5),x7691))),
% 9.39/9.64 inference(scs_inference,[],[89,98,765,573,757,599,10,9,2,3])).
% 9.39/9.64 cnf(772,plain,
% 9.39/9.64 (E(f8(f8(x7721,x7722),f8(x7722,x7721)),f8(f8(f8(x7721,x7722),f8(x7722,x7721)),f8(x7721,x7722)))),
% 9.39/9.64 inference(scs_inference,[],[762,2])).
% 9.39/9.64 cnf(775,plain,
% 9.39/9.64 (P2(f8(f2(x7751,a3),f2(x7751,a3)),f2(x7751,f8(a3,a5)))),
% 9.39/9.64 inference(scs_inference,[],[103,91,762,768,239,2,3,10])).
% 9.39/9.64 cnf(786,plain,
% 9.39/9.64 (E(f2(f8(x7861,x7861),f8(f8(a3,a5),f8(a3,a5))),f2(x7861,a3))),
% 9.39/9.64 inference(scs_inference,[],[103,769,177,2,3])).
% 9.39/9.64 cnf(792,plain,
% 9.39/9.64 (~E(f2(a3,a6),f8(f2(a5,a7),f2(a3,a6)))),
% 9.39/9.64 inference(scs_inference,[],[103,739,542,2,3])).
% 9.39/9.64 cnf(794,plain,
% 9.39/9.64 (P2(f2(x7941,f8(x7942,x7942)),f2(f8(x7941,x7941),x7942))),
% 9.39/9.64 inference(scs_inference,[],[103,698,10])).
% 9.39/9.64 cnf(797,plain,
% 9.39/9.64 (P2(f8(a3,f8(a3,a3)),f8(f8(a5,a5),f8(a5,a5)))),
% 9.39/9.64 inference(scs_inference,[],[106,103,98,698,10,9])).
% 9.39/9.64 cnf(798,plain,
% 9.39/9.64 (E(x7981,f8(x7981,f8(x7981,x7981)))),
% 9.39/9.64 inference(rename_variables,[],[98])).
% 9.39/9.64 cnf(800,plain,
% 9.39/9.64 (E(f8(a6,f8(a7,a7)),f8(a6,f8(a6,a6)))),
% 9.39/9.64 inference(scs_inference,[],[106,103,98,798,698,786,413,10,9,2,3])).
% 9.39/9.64 cnf(803,plain,
% 9.39/9.64 (E(f8(f8(a6,f8(a7,a7)),f8(a7,a7)),f8(a6,f8(a6,a6)))),
% 9.39/9.64 inference(scs_inference,[],[654,800,419,2,3])).
% 9.39/9.64 cnf(806,plain,
% 9.39/9.64 (E(f8(f8(x8061,x8062),f8(x8062,x8061)),f8(f8(f8(x8061,x8062),f8(x8062,x8061)),f8(x8061,x8062)))),
% 9.39/9.64 inference(rename_variables,[],[772])).
% 9.39/9.64 cnf(807,plain,
% 9.39/9.64 (P2(f8(f8(f8(x8071,x8072),f8(x8072,x8071)),f8(x8071,x8072)),f8(f8(x8072,x8071),f8(x8072,x8071)))),
% 9.39/9.64 inference(scs_inference,[],[106,772,806,666,654,800,419,2,3,10,9])).
% 9.39/9.64 cnf(812,plain,
% 9.39/9.64 (E(f8(f8(f8(x8121,x8122),f8(x8121,x8122)),f8(x8122,x8121)),f8(f8(x8121,x8122),f8(x8121,x8122)))),
% 9.39/9.64 inference(scs_inference,[],[103,749,803,589,2,3,20])).
% 9.39/9.64 cnf(814,plain,
% 9.39/9.64 (~E(f8(f8(a1,f8(a1,a1)),f8(a1,a1)),f8(a4,f8(a4,a4)))),
% 9.39/9.64 inference(scs_inference,[],[111,103,749,803,272,589,2,3,20,8])).
% 9.39/9.64 cnf(815,plain,
% 9.39/9.64 (~E(f8(a4,f8(a4,a4)),f8(f8(a1,f8(a1,a1)),f8(a1,a1)))),
% 9.39/9.64 inference(scs_inference,[],[814,2])).
% 9.39/9.64 cnf(818,plain,
% 9.39/9.64 (E(f8(f8(x8181,x8182),f8(x8181,x8182)),f8(f8(f8(x8181,x8182),f8(x8181,x8182)),f8(x8182,x8181)))),
% 9.39/9.64 inference(scs_inference,[],[812,2])).
% 9.39/9.64 cnf(819,plain,
% 9.39/9.64 (E(f8(f8(f8(a3,a5),f8(a3,a5)),f8(a5,a3)),f8(f8(a3,a5),a3))),
% 9.39/9.64 inference(scs_inference,[],[812,179,2,3])).
% 9.39/9.64 cnf(831,plain,
% 9.39/9.64 (E(f8(f8(a3,a5),a3),f8(f8(f8(a3,a5),f8(a3,a5)),f8(a5,a3)))),
% 9.39/9.64 inference(scs_inference,[],[819,2])).
% 9.39/9.64 cnf(834,plain,
% 9.39/9.64 (E(f8(f8(a3,a5),f8(f8(a3,a3),f8(a3,a3))),f8(a3,a5))),
% 9.39/9.64 inference(scs_inference,[],[680,489,819,149,2,3,20])).
% 9.39/9.64 cnf(846,plain,
% 9.39/9.64 (~E(f8(f8(f8(a1,a1),f8(a1,a1)),f8(a1,a1)),f8(a4,a4))),
% 9.39/9.64 inference(scs_inference,[],[101,111,818,834,197,8,2,3])).
% 9.39/9.64 cnf(849,plain,
% 9.39/9.64 (E(f8(a5,f8(a3,a3)),f8(f8(f8(a3,a5),f8(a3,a5)),f8(a5,a3)))),
% 9.39/9.64 inference(scs_inference,[],[846,831,439,2,3])).
% 9.39/9.64 cnf(850,plain,
% 9.39/9.64 (P2(f8(f2(x8501,x8502),f2(x8501,x8502)),f2(f8(x8501,f8(x8501,x8501)),f8(x8502,x8502)))),
% 9.39/9.64 inference(scs_inference,[],[116,316,10])).
% 9.39/9.64 cnf(852,plain,
% 9.39/9.64 (E(f2(x8521,x8522),f2(f8(x8521,f8(x8521,x8521)),x8522))),
% 9.39/9.64 inference(rename_variables,[],[116])).
% 9.39/9.64 cnf(859,plain,
% 9.39/9.64 (E(f8(f8(a6,f8(a6,a6)),f8(a7,a7)),f8(a6,f8(a6,a6)))),
% 9.39/9.64 inference(scs_inference,[],[116,852,117,316,794,815,849,462,10,9,2,3,20])).
% 9.39/9.64 cnf(867,plain,
% 9.39/9.64 (E(f8(a3,a3),f8(f8(a3,a3),f8(a5,a5)))),
% 9.39/9.64 inference(scs_inference,[],[118,2])).
% 9.39/9.64 cnf(868,plain,
% 9.39/9.64 (E(f8(f8(f2(x8681,x8682),f2(x8681,x8682)),f2(x8681,x8682)),f2(x8681,x8682))),
% 9.39/9.64 inference(scs_inference,[],[103,118,267,2,3])).
% 9.39/9.64 cnf(874,plain,
% 9.39/9.64 (E(f2(x8741,x8742),f8(f8(f2(x8741,x8742),f2(x8741,x8742)),f2(x8741,x8742)))),
% 9.39/9.64 inference(scs_inference,[],[868,2])).
% 9.39/9.64 cnf(877,plain,
% 9.39/9.64 (E(f8(a6,f8(a7,f8(a7,a7))),a6)),
% 9.39/9.64 inference(scs_inference,[],[117,868,476,402,2,3,20])).
% 9.39/9.64 cnf(880,plain,
% 9.39/9.64 (E(f8(x8801,x8802),f8(f8(x8801,f8(x8801,x8801)),x8802))),
% 9.39/9.64 inference(rename_variables,[],[117])).
% 9.39/9.64 cnf(881,plain,
% 9.39/9.64 (P2(f8(f8(a3,f8(a3,a3)),f8(a3,a3)),f8(f8(a5,a5),f8(a5,a5)))),
% 9.39/9.64 inference(scs_inference,[],[117,880,797,429,10,9])).
% 9.39/9.64 cnf(905,plain,
% 9.39/9.64 (E(f8(f2(x9051,x9052),f2(x9051,f8(x9052,x9052))),f2(x9051,x9052))),
% 9.39/9.64 inference(scs_inference,[],[859,760,324,222,2,3,20])).
% 9.39/9.64 cnf(912,plain,
% 9.39/9.64 (E(f2(x9121,x9122),f2(f8(x9121,x9121),f8(x9122,x9122)))),
% 9.39/9.64 inference(rename_variables,[],[113])).
% 9.39/9.64 cnf(916,plain,
% 9.39/9.64 (~E(f2(f8(f8(a3,a5),f8(a3,a5)),f8(a6,a6)),f8(f2(a5,a6),f2(a3,a7)))),
% 9.39/9.64 inference(scs_inference,[],[113,912,905,531,715,506,21,10,9,2,3])).
% 9.39/9.64 cnf(918,plain,
% 9.39/9.64 (~E(f8(f2(a5,a6),f2(a3,a7)),f2(f8(f8(a3,a5),f8(a3,a5)),f8(a6,a6)))),
% 9.39/9.64 inference(scs_inference,[],[916,2])).
% 9.39/9.64 cnf(929,plain,
% 9.39/9.64 (~E(f8(f8(a1,a1),f8(a1,f8(a1,a1))),f8(a4,a4))),
% 9.39/9.64 inference(scs_inference,[],[121,683,127,2,3])).
% 9.39/9.64 cnf(937,plain,
% 9.39/9.64 (E(f2(x9371,x9372),f2(f8(x9371,f8(x9371,x9371)),x9372))),
% 9.39/9.64 inference(rename_variables,[],[116])).
% 9.39/9.64 cnf(945,plain,
% 9.39/9.64 (E(f2(x9451,f8(a6,a7)),f2(x9451,a6))),
% 9.39/9.64 inference(scs_inference,[],[116,937,121,929,775,877,299,10,9,2,3,6,7])).
% 9.39/9.64 cnf(946,plain,
% 9.39/9.64 (E(f8(f8(a6,a7),x9461),f8(a6,x9461))),
% 9.39/9.64 inference(scs_inference,[],[116,937,121,929,775,877,299,10,9,2,3,6,7,4])).
% 9.39/9.64 cnf(947,plain,
% 9.39/9.64 (E(f8(x9471,f8(a6,a7)),f8(x9471,a6))),
% 9.39/9.64 inference(scs_inference,[],[116,937,121,929,775,877,299,10,9,2,3,6,7,4,5])).
% 9.39/9.64 cnf(978,plain,
% 9.39/9.64 (E(f8(f8(a6,a7),f8(a6,a7)),f8(a6,a6))),
% 9.39/9.64 inference(scs_inference,[],[792,947,946,2,3])).
% 9.39/9.64 cnf(986,plain,
% 9.39/9.64 (~E(f8(f8(f2(a3,a6),f2(a3,a6)),f2(a3,a6)),f2(f8(a3,a5),f8(a7,a6)))),
% 9.39/9.64 inference(scs_inference,[],[874,978,344,2,3])).
% 9.39/9.64 cnf(989,plain,
% 9.39/9.64 (E(f2(f8(x9891,x9892),f8(x9893,x9894)),f8(f2(x9891,x9894),f2(x9892,x9893)))),
% 9.39/9.64 inference(scs_inference,[],[129,986,710,2,3])).
% 9.39/9.64 cnf(991,plain,
% 9.39/9.64 (E(f8(f2(x9911,x9912),f2(x9913,x9914)),f2(f8(x9911,x9913),f8(x9914,x9912)))),
% 9.39/9.64 inference(scs_inference,[],[989,2])).
% 9.39/9.64 cnf(992,plain,
% 9.39/9.64 (~E(f2(f8(a3,a3),a6),f2(f8(f8(a3,a5),f8(a3,a5)),f8(a7,a6)))),
% 9.39/9.64 inference(scs_inference,[],[138,129,989,2,3])).
% 9.39/9.64 cnf(998,plain,
% 9.39/9.64 (E(f8(f2(x9981,x9982),f2(x9983,x9984)),f2(f8(x9981,x9983),f8(x9984,x9982)))),
% 9.39/9.64 inference(rename_variables,[],[991])).
% 9.39/9.64 cnf(1000,plain,
% 9.39/9.64 (~E(f2(f8(a3,a5),f8(a6,a7)),f2(f8(a3,a3),a6))),
% 9.39/9.64 inference(scs_inference,[],[125,131,850,991,998,992,275,10,9,2,3])).
% 9.39/9.64 cnf(1009,plain,
% 9.39/9.64 (~E(f2(f8(a3,a3),a6),f2(f8(a3,a5),f8(a6,a7)))),
% 9.39/9.64 inference(scs_inference,[],[1000,2])).
% 9.39/9.64 cnf(1010,plain,
% 9.39/9.64 (~E(f8(f2(a5,a6),f2(a3,a7)),f2(f8(a5,a3),f8(a6,a6)))),
% 9.39/9.64 inference(scs_inference,[],[1000,918,685,2,3])).
% 9.39/9.64 cnf(1018,plain,
% 9.39/9.64 (E(f2(f8(a3,a3),x10181),f2(f8(a3,a5),x10181))),
% 9.39/9.64 inference(scs_inference,[],[867,1010,159,2,3,6])).
% 9.39/9.64 cnf(1019,plain,
% 9.39/9.64 (E(f2(x10191,f8(a3,a3)),f2(x10191,f8(a3,a5)))),
% 9.39/9.64 inference(scs_inference,[],[867,1010,159,2,3,6,7])).
% 9.39/9.64 cnf(1021,plain,
% 9.39/9.64 (E(f8(x10211,f8(a3,a3)),f8(x10211,f8(a3,a5)))),
% 9.39/9.64 inference(scs_inference,[],[867,1010,159,2,3,6,7,4,5])).
% 9.39/9.64 cnf(1027,plain,
% 9.39/9.64 (E(f8(x10271,f8(a3,a3)),f8(x10271,f8(a3,a5)))),
% 9.39/9.64 inference(rename_variables,[],[1021])).
% 9.39/9.64 cnf(1029,plain,
% 9.39/9.64 (E(f8(f8(x10291,f8(x10291,x10291)),f8(a3,a3)),f8(x10291,f8(a3,a5)))),
% 9.39/9.64 inference(scs_inference,[],[143,129,807,633,1021,1027,10,9,2,3])).
% 9.39/9.64 cnf(1033,plain,
% 9.39/9.64 (~E(f8(f8(a1,f8(a1,a1)),f8(a1,a1)),f8(a4,a4))),
% 9.39/9.64 inference(scs_inference,[],[127,755,275,2,3])).
% 9.39/9.64 cnf(1038,plain,
% 9.39/9.64 (P2(f8(a3,f8(a3,a5)),f8(f8(a5,a5),f8(a5,a5)))),
% 9.39/9.64 inference(scs_inference,[],[127,376,1029,1019,881,755,275,2,3,10,9])).
% 9.39/9.64 cnf(1045,plain,
% 9.39/9.64 (~E(f2(f8(a3,a3),a6),f2(f8(a3,a3),f8(a6,a7)))),
% 9.39/9.64 inference(scs_inference,[],[1018,1033,1009,2,3])).
% 9.39/9.64 cnf(1056,plain,
% 9.39/9.64 ($false),
% 9.39/9.64 inference(scs_inference,[],[129,701,1038,1045,613,945,10,9,2]),
% 9.39/9.64 ['proof']).
% 9.39/9.64 % SZS output end Proof
% 9.39/9.64 % Total time :8.990000s
%------------------------------------------------------------------------------