TSTP Solution File: HEN007-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:54:05 EDT 2023
% Result : Unsatisfiable 14.06s 14.15s
% Output : CNFRefutation 14.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.30 % Computer : n028.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu Aug 24 13:40:50 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.55 start to proof:theBenchmark
% 14.06/14.15 %-------------------------------------------
% 14.06/14.15 % File :CSE---1.6
% 14.06/14.15 % Problem :theBenchmark
% 14.06/14.15 % Transform :cnf
% 14.06/14.15 % Format :tptp:raw
% 14.06/14.15 % Command :java -jar mcs_scs.jar %d %s
% 14.06/14.15
% 14.06/14.15 % Result :Theorem 13.550000s
% 14.06/14.15 % Output :CNFRefutation 13.550000s
% 14.06/14.15 %-------------------------------------------
% 14.06/14.15 %--------------------------------------------------------------------------
% 14.06/14.15 % File : HEN007-2 : TPTP v8.1.2. Released v1.0.0.
% 14.06/14.15 % Domain : Henkin Models
% 14.06/14.15 % Problem : X <= Y => Z/Y <= Z/X
% 14.06/14.15 % Version : [MOW76] axioms : Augmented.
% 14.06/14.15 % English :
% 14.06/14.15
% 14.06/14.15 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 14.06/14.15 % Source : [MOW76]
% 14.06/14.15 % Names : H7 [MOW76]
% 14.06/14.15
% 14.06/14.15 % Status : Unsatisfiable
% 14.06/14.15 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.00 v2.6.0, 0.14 v2.5.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 14.06/14.15 % Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 12 RR)
% 14.06/14.15 % Number of literals : 36 ( 2 equ; 18 neg)
% 14.06/14.15 % Maximal clause size : 6 ( 1 avg)
% 14.06/14.15 % Maximal term depth : 2 ( 1 avg)
% 14.06/14.15 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 14.06/14.15 % Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% 14.06/14.15 % Number of variables : 37 ( 5 sgn)
% 14.06/14.15 % SPC : CNF_UNS_RFO_SEQ_HRN
% 14.06/14.15
% 14.06/14.15 % Comments :
% 14.06/14.15 %--------------------------------------------------------------------------
% 14.06/14.15 %----Include Henkin model axioms
% 14.06/14.15 include('Axioms/HEN001-0.ax').
% 14.06/14.15 %--------------------------------------------------------------------------
% 14.06/14.15 %----McCharen uses these earlier results too. I don't
% 14.06/14.15 cnf(everything_divide_identity_is_zero,axiom,
% 14.06/14.15 quotient(X,identity,zero) ).
% 14.06/14.15
% 14.06/14.15 cnf(zero_divide_anything_is_zero,axiom,
% 14.06/14.15 quotient(zero,X,zero) ).
% 14.06/14.15
% 14.06/14.15 cnf(x_divide_x_is_zero,axiom,
% 14.06/14.15 quotient(X,X,zero) ).
% 14.06/14.15
% 14.06/14.15 cnf(x_divde_zero_is_x,axiom,
% 14.06/14.15 quotient(X,zero,X) ).
% 14.06/14.15
% 14.06/14.15 cnf(transitivity_of_less_equal,axiom,
% 14.06/14.15 ( ~ less_equal(X,Y)
% 14.06/14.15 | ~ less_equal(Y,Z)
% 14.06/14.15 | less_equal(X,Z) ) ).
% 14.06/14.15
% 14.06/14.15 cnf(xQyLEz_implies_xQzLEy,axiom,
% 14.06/14.15 ( ~ quotient(X,Y,W1)
% 14.06/14.15 | ~ less_equal(W1,Z)
% 14.06/14.15 | ~ quotient(X,Z,W2)
% 14.06/14.15 | less_equal(W2,Y) ) ).
% 14.06/14.15
% 14.06/14.15 cnf(xLEy,hypothesis,
% 14.06/14.15 less_equal(x,y) ).
% 14.06/14.15
% 14.06/14.15 cnf(zQy,hypothesis,
% 14.06/14.15 quotient(z,y,zQy) ).
% 14.06/14.15
% 14.06/14.15 cnf(zQx,hypothesis,
% 14.06/14.15 quotient(z,x,zQx) ).
% 14.06/14.15
% 14.06/14.15 cnf(prove_zQyLEzQx,negated_conjecture,
% 14.06/14.15 ~ less_equal(zQy,zQx) ).
% 14.06/14.15
% 14.06/14.15 %--------------------------------------------------------------------------
% 14.06/14.15 %-------------------------------------------
% 14.06/14.15 % Proof found
% 14.06/14.15 % SZS status Theorem for theBenchmark
% 14.06/14.15 % SZS output start Proof
% 14.06/14.15 %ClaNum:29(EqnAxiom:10)
% 14.06/14.15 %VarNum:72(SingletonVarNum:37)
% 14.06/14.15 %MaxLitNum:6
% 14.06/14.15 %MaxfuncDepth:1
% 14.06/14.15 %SharedTerms:11
% 14.06/14.15 %goalClause: 21
% 14.06/14.15 %singleGoalClaCount:1
% 14.06/14.15 [11]P1(a1,a4)
% 14.06/14.15 [14]P2(a6,a1,a7)
% 14.06/14.15 [15]P2(a6,a4,a8)
% 14.06/14.15 [21]~P1(a8,a7)
% 14.06/14.15 [12]P1(x121,a2)
% 14.06/14.15 [13]P1(a5,x131)
% 14.06/14.15 [16]P2(x161,a2,a5)
% 14.06/14.15 [17]P2(a5,x171,a5)
% 14.06/14.15 [18]P2(x181,x181,a5)
% 14.06/14.15 [19]P2(x191,a5,x191)
% 14.06/14.15 [20]P2(x201,x202,f3(x201,x202))
% 14.06/14.15 [24]~P1(x241,x242)+P2(x241,x242,a5)
% 14.06/14.15 [25]P1(x251,x252)+~P2(x251,x252,a5)
% 14.06/14.15 [26]P1(x261,x262)+~P2(x262,x263,x261)
% 14.06/14.15 [22]~P1(x222,x221)+~P1(x221,x222)+E(x221,x222)
% 14.06/14.15 [23]~P1(x231,x233)+P1(x231,x232)+~P1(x233,x232)
% 14.06/14.15 [27]~P2(x273,x274,x271)+E(x271,x272)+~P2(x273,x274,x272)
% 14.06/14.15 [28]~P2(x285,x282,x283)+P1(x281,x282)+~P2(x285,x284,x281)+~P1(x283,x284)
% 14.06/14.15 [29]~P2(x298,x297,x295)+P1(x291,x292)+~P2(x293,x294,x291)+~P2(x295,x296,x292)+~P2(x297,x296,x294)+~P2(x298,x296,x293)
% 14.06/14.15 %EqnAxiom
% 14.06/14.15 [1]E(x11,x11)
% 14.06/14.15 [2]E(x22,x21)+~E(x21,x22)
% 14.06/14.15 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 14.06/14.15 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 14.06/14.15 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 14.06/14.15 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 14.06/14.15 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 14.06/14.15 [8]P2(x82,x83,x84)+~E(x81,x82)+~P2(x81,x83,x84)
% 14.06/14.15 [9]P2(x93,x92,x94)+~E(x91,x92)+~P2(x93,x91,x94)
% 14.06/14.15 [10]P2(x103,x104,x102)+~E(x101,x102)+~P2(x103,x104,x101)
% 14.06/14.15
% 14.06/14.15 %-------------------------------------------
% 14.06/14.16 cnf(30,plain,
% 14.06/14.16 (~P2(a7,x301,a8)),
% 14.06/14.16 inference(scs_inference,[],[21,26])).
% 14.06/14.16 cnf(31,plain,
% 14.06/14.16 (P1(x311,x311)),
% 14.06/14.16 inference(scs_inference,[],[21,18,26,25])).
% 14.06/14.16 cnf(32,plain,
% 14.06/14.16 (~E(a5,a8)),
% 14.06/14.16 inference(scs_inference,[],[21,18,26,25,10])).
% 14.06/14.16 cnf(33,plain,
% 14.06/14.16 (P2(x331,x331,a5)),
% 14.06/14.16 inference(rename_variables,[],[18])).
% 14.06/14.16 cnf(34,plain,
% 14.06/14.16 (~E(a2,a7)),
% 14.06/14.16 inference(scs_inference,[],[21,18,12,26,25,10,7])).
% 14.06/14.16 cnf(35,plain,
% 14.06/14.16 (P1(x351,a2)),
% 14.06/14.16 inference(rename_variables,[],[12])).
% 14.06/14.16 cnf(36,plain,
% 14.06/14.16 (~E(a7,a8)),
% 14.06/14.16 inference(scs_inference,[],[21,18,12,26,25,10,7,6])).
% 14.06/14.16 cnf(37,plain,
% 14.06/14.16 (E(a5,f3(x371,x371))),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,12,20,26,25,10,7,6,27])).
% 14.06/14.16 cnf(38,plain,
% 14.06/14.16 (P2(x381,x382,f3(x381,x382))),
% 14.06/14.16 inference(rename_variables,[],[20])).
% 14.06/14.16 cnf(40,plain,
% 14.06/14.16 (~P1(a8,a5)),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,12,13,20,26,25,10,7,6,27,22])).
% 14.06/14.16 cnf(43,plain,
% 14.06/14.16 (P1(f3(a1,a4),a5)),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,19,12,13,11,20,38,26,25,10,7,6,27,22,28])).
% 14.06/14.16 cnf(45,plain,
% 14.06/14.16 (P2(x451,x452,f3(x451,x452))),
% 14.06/14.16 inference(rename_variables,[],[20])).
% 14.06/14.16 cnf(48,plain,
% 14.06/14.16 (P2(x481,x481,a5)),
% 14.06/14.16 inference(rename_variables,[],[18])).
% 14.06/14.16 cnf(52,plain,
% 14.06/14.16 (~E(a8,a5)),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,19,12,13,17,11,14,20,38,45,26,25,10,7,6,27,22,28,29,2])).
% 14.06/14.16 cnf(53,plain,
% 14.06/14.16 (P2(a1,a4,a5)),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,19,12,13,17,11,14,20,38,45,26,25,10,7,6,27,22,28,29,2,24])).
% 14.06/14.16 cnf(55,plain,
% 14.06/14.16 (E(f3(x551,a5),f3(x551,f3(a6,a6)))),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,19,12,13,17,11,14,20,38,45,26,25,10,7,6,27,22,28,29,2,24,5])).
% 14.06/14.16 cnf(56,plain,
% 14.06/14.16 (E(f3(a5,x561),f3(f3(a6,a6),x561))),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,19,12,13,17,11,14,20,38,45,26,25,10,7,6,27,22,28,29,2,24,5,4])).
% 14.06/14.16 cnf(57,plain,
% 14.06/14.16 (~P2(x571,a7,a8)+~E(x571,a7)),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,19,12,13,17,11,14,20,38,45,26,25,10,7,6,27,22,28,29,2,24,5,4,8])).
% 14.06/14.16 cnf(59,plain,
% 14.06/14.16 (~P1(a2,a7)),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,19,12,35,13,17,11,14,20,38,45,26,25,10,7,6,27,22,28,29,2,24,5,4,8,3,23])).
% 14.06/14.16 cnf(62,plain,
% 14.06/14.16 (P2(f3(x621,a5),f3(x621,f3(a6,a6)),a5)),
% 14.06/14.16 inference(scs_inference,[],[21,18,33,48,19,12,35,13,17,11,14,20,38,45,26,25,10,7,6,27,22,28,29,2,24,5,4,8,3,23,9])).
% 14.06/14.16 cnf(65,plain,
% 14.06/14.16 (~P2(a8,a7,a5)),
% 14.06/14.16 inference(scs_inference,[],[21,25])).
% 14.06/14.16 cnf(67,plain,
% 14.06/14.16 (P1(a8,a6)),
% 14.06/14.16 inference(scs_inference,[],[21,15,25,26])).
% 14.06/14.16 cnf(69,plain,
% 14.06/14.16 (P1(f3(a5,a2),a5)),
% 14.06/14.16 inference(scs_inference,[],[21,16,15,19,20,18,25,26,29])).
% 14.06/14.16 cnf(70,plain,
% 14.06/14.16 (P2(x701,x702,f3(x701,x702))),
% 14.06/14.16 inference(rename_variables,[],[20])).
% 14.06/14.16 cnf(72,plain,
% 14.06/14.16 (P2(x721,a5,x721)),
% 14.06/14.16 inference(rename_variables,[],[19])).
% 14.06/14.16 cnf(73,plain,
% 14.06/14.16 (P2(x731,a2,a5)),
% 14.06/14.16 inference(rename_variables,[],[16])).
% 14.06/14.16 cnf(76,plain,
% 14.06/14.16 (E(f3(f3(a6,a6),x761),f3(a5,x761))),
% 14.06/14.16 inference(scs_inference,[],[21,16,15,19,20,18,56,25,26,29,2])).
% 14.06/14.16 cnf(77,plain,
% 14.06/14.16 (P2(x771,f3(x772,x772),x771)),
% 14.06/14.16 inference(scs_inference,[],[21,16,15,19,72,20,18,56,37,25,26,29,2,9])).
% 14.06/14.16 cnf(78,plain,
% 14.06/14.16 (~P2(x781,a2,a8)),
% 14.06/14.16 inference(scs_inference,[],[21,16,73,15,19,72,20,18,56,32,37,25,26,29,2,9,27])).
% 14.06/14.16 cnf(80,plain,
% 14.06/14.16 (~P1(a2,a5)),
% 14.06/14.16 inference(scs_inference,[],[21,16,73,15,19,72,13,20,18,56,32,37,59,25,26,29,2,9,27,23])).
% 14.06/14.16 cnf(81,plain,
% 14.06/14.16 (P1(a5,x811)),
% 14.06/14.16 inference(rename_variables,[],[13])).
% 14.06/14.16 cnf(84,plain,
% 14.06/14.16 (P2(x841,x842,f3(x841,x842))),
% 14.06/14.16 inference(rename_variables,[],[20])).
% 14.06/14.16 cnf(85,plain,
% 14.06/14.16 (~E(a2,a5)),
% 14.06/14.16 inference(scs_inference,[],[21,16,73,15,19,72,12,13,20,70,18,56,32,37,40,59,25,26,29,2,9,27,23,10,7])).
% 14.06/14.16 cnf(87,plain,
% 14.06/14.16 (E(f3(a5,a5),f3(f3(a6,a6),f3(a6,a6)))),
% 14.06/14.16 inference(scs_inference,[],[21,16,73,15,19,72,12,13,20,70,18,56,55,32,37,40,59,25,26,29,2,9,27,23,10,7,3])).
% 14.06/14.16 cnf(90,plain,
% 14.06/14.16 (~E(a5,a2)),
% 14.06/14.16 inference(scs_inference,[],[21,16,73,15,19,72,12,13,81,20,70,18,56,55,32,37,40,59,25,26,29,2,9,27,23,10,7,3,6])).
% 14.06/14.16 cnf(92,plain,
% 14.06/14.16 (~P1(f3(a6,a7),a4)),
% 14.06/14.16 inference(scs_inference,[],[21,16,73,15,19,72,12,13,81,20,70,84,18,56,55,32,37,40,59,25,26,29,2,9,27,23,10,7,3,6,28])).
% 14.06/14.16 cnf(97,plain,
% 14.06/14.16 (~E(a6,a7)),
% 14.06/14.16 inference(scs_inference,[],[21,16,73,15,19,72,12,13,81,20,70,84,18,11,56,55,32,37,30,40,59,25,26,29,2,9,27,23,10,7,3,6,28,22,8])).
% 14.06/14.16 cnf(99,plain,
% 14.06/14.17 (P1(a7,a6)),
% 14.06/14.17 inference(scs_inference,[],[14,26])).
% 14.06/14.17 cnf(103,plain,
% 14.06/14.17 (~P2(a5,a2,f3(a6,a7))),
% 14.06/14.17 inference(scs_inference,[],[17,14,12,62,92,26,25,28])).
% 14.06/14.17 cnf(107,plain,
% 14.06/14.17 (~P2(a6,a1,a2)),
% 14.06/14.17 inference(scs_inference,[],[17,14,12,34,62,92,26,25,28,27])).
% 14.06/14.17 cnf(109,plain,
% 14.06/14.17 (~P1(a6,a7)),
% 14.06/14.17 inference(scs_inference,[],[17,14,12,34,62,97,92,26,25,28,27,22])).
% 14.06/14.17 cnf(111,plain,
% 14.06/14.17 (~E(a7,a2)),
% 14.06/14.17 inference(scs_inference,[],[17,14,12,34,62,97,92,26,25,28,27,22,2])).
% 14.06/14.17 cnf(112,plain,
% 14.06/14.17 (P2(f3(f3(a6,a6),x1121),a5,f3(a5,x1121))),
% 14.06/14.17 inference(scs_inference,[],[17,14,19,12,34,76,62,97,92,26,25,28,27,22,2,10])).
% 14.06/14.17 cnf(113,plain,
% 14.06/14.17 (P2(x1131,a5,x1131)),
% 14.06/14.17 inference(rename_variables,[],[19])).
% 14.06/14.17 cnf(114,plain,
% 14.06/14.17 (~P2(a4,f3(x1141,x1141),f3(a6,a7))),
% 14.06/14.17 inference(scs_inference,[],[17,14,19,113,12,18,77,34,76,62,97,92,26,25,28,27,22,2,10,29])).
% 14.06/14.17 cnf(120,plain,
% 14.06/14.17 (E(x1201,f3(x1202,x1202))+~E(x1201,a5)),
% 14.06/14.17 inference(scs_inference,[],[17,14,19,113,12,18,77,34,76,62,97,92,37,26,25,28,27,22,2,10,29,3])).
% 14.06/14.17 cnf(121,plain,
% 14.06/14.17 (P1(a1,f3(x1211,x1211))+~E(a4,a5)),
% 14.06/14.17 inference(scs_inference,[],[11,17,14,19,113,12,18,77,34,76,62,97,92,37,26,25,28,27,22,2,10,29,3,7])).
% 14.06/14.17 cnf(129,plain,
% 14.06/14.17 (P1(f3(a1,a4),f3(x1291,x1291))),
% 14.06/14.17 inference(scs_inference,[],[11,20,80,77,26,25,28])).
% 14.06/14.17 cnf(131,plain,
% 14.06/14.17 (P2(x1311,x1312,f3(x1311,x1312))),
% 14.06/14.17 inference(rename_variables,[],[20])).
% 14.06/14.17 cnf(133,plain,
% 14.06/14.17 (~P2(f3(a7,a5),a5,a6)),
% 14.06/14.17 inference(scs_inference,[],[11,17,20,131,19,80,109,77,26,25,28,29])).
% 14.06/14.17 cnf(136,plain,
% 14.06/14.17 (P2(x1361,x1362,f3(x1361,x1362))),
% 14.06/14.17 inference(rename_variables,[],[20])).
% 14.06/14.17 cnf(137,plain,
% 14.06/14.17 (P2(a5,x1371,a5)),
% 14.06/14.17 inference(rename_variables,[],[17])).
% 14.06/14.17 cnf(139,plain,
% 14.06/14.17 (E(a5,f3(x1391,a2))),
% 14.06/14.17 inference(scs_inference,[],[11,16,17,20,131,136,19,80,109,77,26,25,28,29,27])).
% 14.06/14.17 cnf(142,plain,
% 14.06/14.17 (E(f3(a1,a4),a5)),
% 14.06/14.17 inference(scs_inference,[],[11,13,16,17,20,131,136,19,43,80,109,77,26,25,28,29,27,22])).
% 14.06/14.17 cnf(143,plain,
% 14.06/14.17 (P1(a5,x1431)),
% 14.06/14.17 inference(rename_variables,[],[13])).
% 14.06/14.17 cnf(145,plain,
% 14.06/14.17 (P1(f3(x1451,x1451),x1452)),
% 14.06/14.17 inference(scs_inference,[],[11,13,143,16,17,20,131,136,19,43,80,109,77,37,26,25,28,29,27,22,6])).
% 14.06/14.17 cnf(147,plain,
% 14.06/14.17 (P1(f3(a5,a2),f3(x1471,x1471))),
% 14.06/14.17 inference(scs_inference,[],[11,13,143,16,17,20,131,136,19,43,69,103,80,109,77,37,26,25,28,29,27,22,6,8,7])).
% 14.06/14.17 cnf(148,plain,
% 14.06/14.17 (~E(f3(x1481,x1481),a2)),
% 14.06/14.17 inference(scs_inference,[],[11,13,143,16,17,20,131,136,19,90,43,69,103,80,109,77,37,26,25,28,29,27,22,6,8,7,3])).
% 14.06/14.17 cnf(149,plain,
% 14.06/14.17 (E(f3(f3(a6,a6),f3(a6,a6)),f3(a5,a5))),
% 14.06/14.17 inference(scs_inference,[],[11,13,143,16,17,20,131,136,19,90,43,69,103,80,109,87,77,37,26,25,28,29,27,22,6,8,7,3,2])).
% 14.06/14.17 cnf(150,plain,
% 14.06/14.17 (~E(a5,f3(a6,a7))),
% 14.06/14.17 inference(scs_inference,[],[11,13,143,16,17,137,20,131,136,19,90,43,69,103,80,109,87,77,37,26,25,28,29,27,22,6,8,7,3,2,10])).
% 14.06/14.17 cnf(152,plain,
% 14.06/14.17 (P2(a6,x1521,a7)+~E(a1,x1521)),
% 14.06/14.17 inference(scs_inference,[],[11,13,143,16,17,137,20,131,136,19,14,90,43,69,103,80,109,87,77,37,26,25,28,29,27,22,6,8,7,3,2,10,9])).
% 14.06/14.17 cnf(153,plain,
% 14.06/14.17 (E(f3(a1,a4),f3(x1531,x1531))),
% 14.06/14.17 inference(scs_inference,[],[11,13,143,16,17,137,20,131,136,19,14,90,43,69,103,80,109,87,77,37,26,25,28,29,27,22,6,8,7,3,2,10,9,120])).
% 14.06/14.17 cnf(160,plain,
% 14.06/14.17 (P2(x1601,x1602,f3(x1601,x1602))),
% 14.06/14.17 inference(rename_variables,[],[20])).
% 14.06/14.17 cnf(164,plain,
% 14.06/14.17 (E(f3(x1641,x1641),f3(a1,a4))),
% 14.06/14.17 inference(scs_inference,[],[16,17,15,20,19,145,129,150,40,26,29,27,22])).
% 14.06/14.17 cnf(166,plain,
% 14.06/14.17 (P1(f3(x1661,x1661),x1662)),
% 14.06/14.17 inference(rename_variables,[],[145])).
% 14.06/14.17 cnf(169,plain,
% 14.06/14.17 (~P2(a4,f3(x1691,x1691),f3(a6,a7))),
% 14.06/14.17 inference(rename_variables,[],[114])).
% 14.06/14.17 cnf(171,plain,
% 14.06/14.17 (E(f3(a1,a4),f3(x1711,a2))),
% 14.06/14.17 inference(scs_inference,[],[16,17,15,20,19,145,129,114,142,139,150,40,77,26,29,27,22,8,3])).
% 14.06/14.17 cnf(172,plain,
% 14.06/14.17 (~P1(a8,f3(a1,a4))),
% 14.06/14.17 inference(scs_inference,[],[16,17,15,20,19,145,129,114,142,139,150,40,77,26,29,27,22,8,3,7])).
% 14.06/14.17 cnf(173,plain,
% 14.06/14.17 (~E(f3(x1731,x1731),a8)),
% 14.06/14.17 inference(scs_inference,[],[16,17,15,20,19,145,166,129,114,142,139,150,40,77,26,29,27,22,8,3,7,6])).
% 14.06/14.17 cnf(174,plain,
% 14.06/14.17 (P1(f3(x1741,x1741),x1742)),
% 14.06/14.17 inference(rename_variables,[],[145])).
% 14.06/14.17 cnf(175,plain,
% 14.06/14.17 (~E(f3(a4,f3(x1751,x1751)),f3(a6,a7))),
% 14.06/14.17 inference(scs_inference,[],[16,17,15,20,160,19,145,166,129,114,169,142,139,150,40,77,26,29,27,22,8,3,7,6,10])).
% 14.06/14.17 cnf(177,plain,
% 14.06/14.17 (~E(a2,f3(x1771,x1771))),
% 14.06/14.17 inference(scs_inference,[],[16,17,15,20,160,19,145,166,129,114,169,148,142,139,150,40,77,26,29,27,22,8,3,7,6,10,2])).
% 14.06/14.17 cnf(178,plain,
% 14.06/14.17 (E(f3(x1781,f3(a1,a4)),f3(x1781,a5))),
% 14.06/14.17 inference(scs_inference,[],[16,17,15,20,160,19,145,166,129,114,169,148,142,139,150,40,77,26,29,27,22,8,3,7,6,10,2,5])).
% 14.06/14.17 cnf(179,plain,
% 14.06/14.17 (P2(f3(x1791,x1791),x1792,a5)),
% 14.06/14.17 inference(scs_inference,[],[16,17,15,20,160,19,145,166,174,129,114,169,148,142,139,150,40,77,26,29,27,22,8,3,7,6,10,2,5,24])).
% 14.06/14.17 cnf(181,plain,
% 14.06/14.17 (E(f3(f3(a1,a4),x1811),f3(a5,x1811))),
% 14.06/14.17 inference(scs_inference,[],[16,17,15,20,160,19,145,166,174,129,114,169,148,142,139,150,40,77,26,29,27,22,8,3,7,6,10,2,5,24,4])).
% 14.06/14.17 cnf(187,plain,
% 14.06/14.17 (~P2(a4,f3(a1,a4),f3(a6,a7))),
% 14.06/14.17 inference(scs_inference,[],[31,16,17,15,20,160,19,145,166,174,129,153,114,169,148,142,139,150,40,77,26,29,27,22,8,3,7,6,10,2,5,24,4,25,28,9])).
% 14.06/14.17 cnf(189,plain,
% 14.06/14.17 (P1(f3(x1891,x1892),x1891)),
% 14.06/14.17 inference(scs_inference,[],[20,26])).
% 14.06/14.17 cnf(192,plain,
% 14.06/14.17 (P1(x1921,a2)),
% 14.06/14.17 inference(rename_variables,[],[12])).
% 14.06/14.17 cnf(193,plain,
% 14.06/14.17 (P2(x1931,x1931,a5)),
% 14.06/14.17 inference(rename_variables,[],[18])).
% 14.06/14.17 cnf(195,plain,
% 14.06/14.17 (~P2(x1951,x1951,a2)),
% 14.06/14.17 inference(scs_inference,[],[12,18,193,20,85,109,26,28,27])).
% 14.06/14.17 cnf(197,plain,
% 14.06/14.17 (~P1(a8,f3(x1971,x1971))),
% 14.06/14.17 inference(scs_inference,[],[12,18,193,20,85,173,145,109,26,28,27,22])).
% 14.06/14.17 cnf(202,plain,
% 14.06/14.17 (P1(x2021,x2021)),
% 14.06/14.17 inference(rename_variables,[],[31])).
% 14.06/14.17 cnf(204,plain,
% 14.06/14.17 (P2(x2041,x2041,a5)),
% 14.06/14.17 inference(rename_variables,[],[18])).
% 14.06/14.17 cnf(205,plain,
% 14.06/14.17 (P2(x2051,x2051,f3(a1,a4))),
% 14.06/14.17 inference(scs_inference,[],[12,31,18,193,20,164,85,173,172,145,109,26,28,27,22,6,8,10])).
% 14.06/14.17 cnf(207,plain,
% 14.06/14.17 (P2(x2071,x2072,f3(x2071,x2072))),
% 14.06/14.17 inference(rename_variables,[],[20])).
% 14.06/14.17 cnf(209,plain,
% 14.06/14.17 (E(f3(x2091,f3(a1,a4)),f3(x2091,a5))),
% 14.06/14.17 inference(rename_variables,[],[178])).
% 14.06/14.17 cnf(211,plain,
% 14.06/14.17 (P1(f3(x2111,f3(a1,a4)),f3(x2111,a5))),
% 14.06/14.17 inference(scs_inference,[],[12,31,202,18,193,20,164,85,178,209,173,177,172,145,109,26,28,27,22,6,8,10,3,7])).
% 14.06/14.17 cnf(213,plain,
% 14.06/14.17 (E(f3(x2131,a5),f3(x2131,f3(a1,a4)))),
% 14.06/14.17 inference(scs_inference,[],[12,31,202,18,193,20,164,85,178,209,173,177,172,145,109,26,28,27,22,6,8,10,3,7,2])).
% 14.06/14.17 cnf(215,plain,
% 14.06/14.17 (P2(x2151,x2151,a5)),
% 14.06/14.17 inference(rename_variables,[],[18])).
% 14.06/14.17 cnf(216,plain,
% 14.06/14.17 (~P1(a2,f3(a1,a4))),
% 14.06/14.17 inference(scs_inference,[],[12,192,31,202,18,193,204,20,164,85,178,209,173,177,172,145,109,26,28,27,22,6,8,10,3,7,2,9,23])).
% 14.06/14.17 cnf(219,plain,
% 14.06/14.17 (P1(f3(a7,a5),x2191)+~P2(a7,a1,x2191)),
% 14.06/14.17 inference(scs_inference,[],[12,192,31,202,14,18,193,204,215,20,207,164,85,178,209,173,177,172,145,109,26,28,27,22,6,8,10,3,7,2,9,23,29])).
% 14.06/14.17 cnf(223,plain,
% 14.06/14.17 (P1(f3(a7,a5),f3(a7,a1))),
% 14.06/14.17 inference(scs_inference,[],[20,219])).
% 14.06/14.17 cnf(224,plain,
% 14.06/14.17 (P2(x2241,x2242,f3(x2241,x2242))),
% 14.06/14.17 inference(rename_variables,[],[20])).
% 14.06/14.17 cnf(226,plain,
% 14.06/14.17 (~P1(f3(a6,a7),a5)),
% 14.06/14.17 inference(scs_inference,[],[13,20,92,219,23])).
% 14.06/14.17 cnf(227,plain,
% 14.06/14.17 (P1(a5,x2271)),
% 14.06/14.17 inference(rename_variables,[],[13])).
% 14.06/14.17 cnf(229,plain,
% 14.06/14.17 (P1(f3(a1,a4),x2291)),
% 14.06/14.17 inference(scs_inference,[],[13,20,205,92,219,23,26])).
% 14.06/14.17 cnf(231,plain,
% 14.06/14.17 (P1(f3(f3(a5,a2),f3(x2311,x2311)),a5)),
% 14.06/14.17 inference(scs_inference,[],[13,19,20,224,205,147,92,219,23,26,28])).
% 14.06/14.17 cnf(233,plain,
% 14.06/14.17 (P2(x2331,x2332,f3(x2331,x2332))),
% 14.06/14.17 inference(rename_variables,[],[20])).
% 14.06/14.17 cnf(235,plain,
% 14.06/14.17 (E(a5,f3(a1,a4))),
% 14.06/14.17 inference(scs_inference,[],[13,16,19,20,224,205,147,92,219,23,26,28,27])).
% 14.06/14.17 cnf(239,plain,
% 14.06/14.17 (E(f3(a5,x2391),a5)),
% 14.06/14.17 inference(scs_inference,[],[13,227,16,19,20,224,189,205,147,92,219,23,26,28,27,22])).
% 14.06/14.17 cnf(243,plain,
% 14.06/14.17 (~E(f3(x2431,a2),a8)),
% 14.06/14.17 inference(scs_inference,[],[13,227,32,16,19,20,224,189,205,147,139,92,219,23,26,28,27,22,3])).
% 14.06/14.17 cnf(244,plain,
% 14.06/14.17 (~E(a8,f3(x2441,x2441))),
% 14.06/14.17 inference(scs_inference,[],[13,227,32,31,16,19,20,224,189,205,147,197,139,92,219,23,26,28,27,22,3,7])).
% 14.06/14.17 cnf(245,plain,
% 14.06/14.17 (P1(x2451,x2451)),
% 14.06/14.17 inference(rename_variables,[],[31])).
% 14.06/14.17 cnf(248,plain,
% 14.06/14.17 (~P2(f3(f3(a6,a6),f3(a6,a6)),f3(a5,a5),a2)),
% 14.06/14.17 inference(scs_inference,[],[13,227,32,31,245,16,19,20,224,189,205,149,181,147,195,197,139,92,219,23,26,28,27,22,3,7,6,8])).
% 14.06/14.17 cnf(253,plain,
% 14.06/14.17 (~E(a4,a2)),
% 14.06/14.17 inference(scs_inference,[],[13,227,32,30,31,245,16,15,19,20,224,233,189,205,149,181,147,195,175,197,78,139,92,219,23,26,28,27,22,3,7,6,8,2,10,9])).
% 14.06/14.17 cnf(260,plain,
% 14.06/14.17 (~P2(f3(a1,a4),x2601,a2)),
% 14.06/14.17 inference(scs_inference,[],[216,26])).
% 14.06/14.17 cnf(268,plain,
% 14.06/14.17 (~P2(x2681,x2681,a8)),
% 14.06/14.17 inference(scs_inference,[],[32,17,18,216,226,26,29,27])).
% 14.06/14.17 cnf(270,plain,
% 14.06/14.17 (E(a5,f3(f3(a5,a2),f3(x2701,x2701)))),
% 14.06/14.17 inference(scs_inference,[],[13,32,17,18,231,216,226,26,29,27,22])).
% 14.06/14.17 cnf(273,plain,
% 14.06/14.17 (~P1(f3(a6,a7),f3(a5,x2731))),
% 14.06/14.17 inference(scs_inference,[],[13,32,17,18,231,216,239,226,26,29,27,22,7])).
% 14.06/14.17 cnf(279,plain,
% 14.06/14.17 (E(f3(a5,x2791),f3(a1,a4))),
% 14.06/14.17 inference(scs_inference,[],[13,32,30,31,17,18,19,231,216,235,239,226,26,29,27,22,7,6,8,3])).
% 14.06/14.17 cnf(280,plain,
% 14.06/14.17 (~E(f3(a4,f3(a1,a4)),f3(a6,a7))),
% 14.06/14.17 inference(scs_inference,[],[13,32,30,31,17,18,19,20,187,231,216,235,239,226,26,29,27,22,7,6,8,3,10])).
% 14.06/14.17 cnf(282,plain,
% 14.06/14.17 (E(f3(x2821,a2),f3(a1,a4))),
% 14.06/14.17 inference(scs_inference,[],[13,32,30,31,17,18,19,20,187,171,231,216,235,239,226,26,29,27,22,7,6,8,3,10,2])).
% 14.06/14.17 cnf(284,plain,
% 14.06/14.17 (E(f3(a5,x2841),f3(x2842,x2842))),
% 14.06/14.17 inference(scs_inference,[],[13,32,30,31,17,18,19,20,187,171,231,216,235,239,226,26,29,27,22,7,6,8,3,10,2,9,120])).
% 14.06/14.17 cnf(287,plain,
% 14.06/14.17 (~P2(f3(a5,x2871),x2872,f3(a6,a7))),
% 14.06/14.17 inference(scs_inference,[],[273,26])).
% 14.06/14.17 cnf(289,plain,
% 14.06/14.17 (~P2(a6,f3(x2891,x2891),a4)),
% 14.06/14.17 inference(scs_inference,[],[31,15,273,197,26,28])).
% 14.06/14.17 cnf(290,plain,
% 14.06/14.17 (P1(x2901,x2901)),
% 14.06/14.17 inference(rename_variables,[],[31])).
% 14.06/14.17 cnf(292,plain,
% 14.06/14.17 (~P2(a6,a4,a5)),
% 14.06/14.17 inference(scs_inference,[],[32,31,15,273,197,26,28,27])).
% 14.06/14.17 cnf(294,plain,
% 14.06/14.17 (~P1(a8,f3(a8,a2))),
% 14.06/14.17 inference(scs_inference,[],[32,31,15,273,243,189,197,26,28,27,22])).
% 14.06/14.17 cnf(298,plain,
% 14.06/14.17 (P2(f3(a5,x2981),a5,f3(x2982,x2982))),
% 14.06/14.17 inference(scs_inference,[],[32,31,15,19,284,273,243,189,197,26,28,27,22,10])).
% 14.06/14.17 cnf(299,plain,
% 14.06/14.17 (P2(x2991,a5,x2991)),
% 14.06/14.17 inference(rename_variables,[],[19])).
% 14.06/14.17 cnf(300,plain,
% 14.06/14.17 (~E(a8,f3(a5,x3001))),
% 14.06/14.17 inference(scs_inference,[],[32,31,15,19,284,273,244,243,189,197,26,28,27,22,10,3])).
% 14.06/14.17 cnf(301,plain,
% 14.06/14.17 (E(f3(a5,x3011),f3(x3012,x3012))),
% 14.06/14.17 inference(rename_variables,[],[284])).
% 14.06/14.17 cnf(302,plain,
% 14.06/14.17 (P1(f3(a5,x3021),f3(x3022,x3022))),
% 14.06/14.17 inference(scs_inference,[],[32,31,290,15,19,284,301,273,244,243,189,197,26,28,27,22,10,3,7])).
% 14.06/14.17 cnf(303,plain,
% 14.06/14.17 (P1(x3031,x3031)),
% 14.06/14.17 inference(rename_variables,[],[31])).
% 14.06/14.17 cnf(304,plain,
% 14.06/14.17 (~E(f3(a5,x3041),f3(a6,a7))),
% 14.06/14.17 inference(scs_inference,[],[32,31,290,303,15,19,284,301,273,244,243,189,197,26,28,27,22,10,3,7,6])).
% 14.06/14.17 cnf(306,plain,
% 14.06/14.17 (P2(f3(x3061,x3061),a5,f3(a5,x3062))),
% 14.06/14.17 inference(scs_inference,[],[32,31,290,303,15,19,299,284,301,273,244,243,189,197,26,28,27,22,10,3,7,6,8])).
% 14.06/14.17 cnf(309,plain,
% 14.06/14.17 (P2(f3(a5,x3091),f3(x3092,x3092),a5)),
% 14.06/14.17 inference(scs_inference,[],[32,31,290,303,18,15,19,299,284,301,273,280,244,243,189,197,26,28,27,22,10,3,7,6,8,2,9])).
% 14.06/14.17 cnf(313,plain,
% 14.06/14.17 (E(f3(x3131,a5),f3(x3131,f3(x3132,a2)))),
% 14.06/14.17 inference(scs_inference,[],[32,31,290,303,18,15,19,299,284,301,99,273,280,244,243,189,197,139,26,28,27,22,10,3,7,6,8,2,9,24,5])).
% 14.06/14.17 cnf(314,plain,
% 14.06/14.17 (E(f3(a5,x3141),f3(f3(a1,a4),x3141))),
% 14.06/14.17 inference(scs_inference,[],[32,31,290,303,18,15,19,299,284,301,99,273,280,244,243,189,235,197,139,26,28,27,22,10,3,7,6,8,2,9,24,5,4])).
% 14.06/14.17 cnf(315,plain,
% 14.06/14.17 (~P2(f3(a6,a7),f3(a5,x3151),a5)),
% 14.06/14.17 inference(scs_inference,[],[32,31,290,303,18,15,19,299,284,301,99,273,280,244,243,189,235,197,139,26,28,27,22,10,3,7,6,8,2,9,24,5,4,25])).
% 14.06/14.17 cnf(321,plain,
% 14.06/14.17 (~P1(a6,a4)),
% 14.06/14.17 inference(scs_inference,[],[292,24])).
% 14.06/14.17 cnf(323,plain,
% 14.06/14.17 (~E(a5,a6)),
% 14.06/14.17 inference(scs_inference,[],[304,292,24,4])).
% 14.06/14.17 cnf(325,plain,
% 14.06/14.17 (P1(f3(a5,x3251),f3(f3(a6,a6),x3251))),
% 14.06/14.17 inference(scs_inference,[],[304,112,292,24,4,26])).
% 14.06/14.17 cnf(328,plain,
% 14.06/14.17 (P1(x3281,x3281)),
% 14.06/14.17 inference(rename_variables,[],[31])).
% 14.06/14.17 cnf(331,plain,
% 14.06/14.18 (E(a7,f3(a6,a1))),
% 14.06/14.18 inference(scs_inference,[],[14,31,18,20,304,112,294,292,24,4,26,28,27])).
% 14.06/14.18 cnf(334,plain,
% 14.06/14.18 (E(f3(f3(a5,a2),f3(x3341,x3341)),a5)),
% 14.06/14.18 inference(scs_inference,[],[14,31,18,20,304,112,294,292,231,13,24,4,26,28,27,22])).
% 14.06/14.18 cnf(337,plain,
% 14.06/14.18 (P1(f3(f3(a1,a4),x3371),f3(a5,x3371))),
% 14.06/14.18 inference(scs_inference,[],[14,31,328,18,20,314,304,112,294,292,231,13,24,4,26,28,27,22,6])).
% 14.06/14.18 cnf(338,plain,
% 14.06/14.18 (P1(x3381,x3381)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(339,plain,
% 14.06/14.18 (~P2(f3(a5,x3391),f3(f3(a1,a4),x3391),a8)),
% 14.06/14.18 inference(scs_inference,[],[14,31,328,18,20,314,268,304,112,294,292,231,13,24,4,26,28,27,22,6,8])).
% 14.06/14.18 cnf(341,plain,
% 14.06/14.18 (E(f3(x3411,f3(x3412,a2)),f3(x3411,a5))),
% 14.06/14.18 inference(scs_inference,[],[14,31,328,18,20,314,313,268,304,112,294,292,231,13,24,4,26,28,27,22,6,8,2])).
% 14.06/14.18 cnf(342,plain,
% 14.06/14.18 (~E(f3(x3421,x3421),f3(a6,a7))),
% 14.06/14.18 inference(scs_inference,[],[14,31,328,18,20,314,313,287,268,304,298,112,294,292,231,13,24,4,26,28,27,22,6,8,2,10])).
% 14.06/14.18 cnf(345,plain,
% 14.06/14.18 (~E(f3(f3(a5,a2),f3(x3451,x3451)),a8)),
% 14.06/14.18 inference(scs_inference,[],[14,32,31,328,18,20,314,313,287,268,304,298,112,270,294,292,231,13,24,4,26,28,27,22,6,8,2,10,3])).
% 14.06/14.18 cnf(348,plain,
% 14.06/14.18 (~E(a2,f3(a5,x3481))),
% 14.06/14.18 inference(scs_inference,[],[14,32,31,328,338,16,18,20,314,313,287,268,304,298,112,270,315,294,292,231,13,24,4,26,28,27,22,6,8,2,10,3,7,9])).
% 14.06/14.18 cnf(356,plain,
% 14.06/14.18 (E(f3(a7,x3561),f3(f3(a6,a1),x3561))),
% 14.06/14.18 inference(scs_inference,[],[325,331,24,4])).
% 14.06/14.18 cnf(357,plain,
% 14.06/14.18 (P1(f3(a6,a8),a4)),
% 14.06/14.18 inference(scs_inference,[],[15,31,20,325,331,24,4,28])).
% 14.06/14.18 cnf(358,plain,
% 14.06/14.18 (P1(x3581,x3581)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(359,plain,
% 14.06/14.18 (P2(x3591,x3592,f3(x3591,x3592))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(361,plain,
% 14.06/14.18 (~P2(x3611,x3611,f3(a6,a7))),
% 14.06/14.18 inference(scs_inference,[],[15,31,20,359,325,342,331,24,4,28,27])).
% 14.06/14.18 cnf(362,plain,
% 14.06/14.18 (P2(x3621,x3622,f3(x3621,x3622))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(366,plain,
% 14.06/14.18 (P2(x3661,a5,x3661)),
% 14.06/14.18 inference(rename_variables,[],[19])).
% 14.06/14.18 cnf(367,plain,
% 14.06/14.18 (~E(f3(a6,a7),f3(x3671,x3671))),
% 14.06/14.18 inference(scs_inference,[],[15,31,20,359,19,325,342,260,331,24,4,28,27,8,2])).
% 14.06/14.18 cnf(369,plain,
% 14.06/14.18 (P1(x3691,x3691)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(374,plain,
% 14.06/14.18 (E(f3(x3741,a2),f3(x3742,x3742))),
% 14.06/14.18 inference(scs_inference,[],[15,31,358,369,20,359,362,19,325,282,342,107,260,331,321,153,24,4,28,27,8,2,7,10,6,3])).
% 14.06/14.18 cnf(378,plain,
% 14.06/14.18 (~E(f3(a6,a7),a5)),
% 14.06/14.18 inference(scs_inference,[],[15,31,358,369,20,359,362,19,325,213,282,342,107,260,289,331,321,153,24,4,28,27,8,2,7,10,6,3,9,120])).
% 14.06/14.18 cnf(379,plain,
% 14.06/14.18 (~P1(a6,f3(a1,a4))),
% 14.06/14.18 inference(scs_inference,[],[15,31,358,369,20,359,362,19,325,213,282,67,342,107,260,289,331,321,153,172,24,4,28,27,8,2,7,10,6,3,9,120,23])).
% 14.06/14.18 cnf(381,plain,
% 14.06/14.18 (~E(a7,a6)),
% 14.06/14.18 inference(scs_inference,[],[15,31,358,369,20,359,362,19,325,213,282,67,342,107,260,289,331,321,153,172,24,4,28,27,8,2,7,10,6,3,9,120,23,5])).
% 14.06/14.18 cnf(389,plain,
% 14.06/14.18 (~P1(f3(a6,a7),f3(a6,a6))),
% 14.06/14.18 inference(scs_inference,[],[15,31,358,369,16,17,20,359,362,19,366,325,213,282,67,342,107,260,289,331,321,153,172,145,40,24,4,28,27,8,2,7,10,6,3,9,120,23,5,26,29,22])).
% 14.06/14.18 cnf(393,plain,
% 14.06/14.18 (E(f3(f3(a5,a2),f3(x3931,x3931)),f3(x3932,x3932))),
% 14.06/14.18 inference(scs_inference,[],[334,120])).
% 14.06/14.18 cnf(394,plain,
% 14.06/14.18 (E(f3(x3941,a7),f3(x3941,f3(a6,a1)))),
% 14.06/14.18 inference(scs_inference,[],[334,331,120,5])).
% 14.06/14.18 cnf(395,plain,
% 14.06/14.18 (~P1(f3(a6,f3(a8,a2)),a4)),
% 14.06/14.18 inference(scs_inference,[],[15,20,334,331,294,120,5,28])).
% 14.06/14.18 cnf(396,plain,
% 14.06/14.18 (P2(x3961,x3962,f3(x3961,x3962))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(401,plain,
% 14.06/14.18 (P1(x4011,x4011)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(402,plain,
% 14.06/14.18 (P2(x4021,a2,f3(x4022,x4022))),
% 14.06/14.18 inference(scs_inference,[],[15,36,31,20,396,374,334,379,331,294,120,5,28,27,6,10])).
% 14.06/14.18 cnf(403,plain,
% 14.06/14.18 (E(f3(x4031,a2),f3(x4032,x4032))),
% 14.06/14.18 inference(rename_variables,[],[374])).
% 14.06/14.18 cnf(405,plain,
% 14.06/14.18 (P2(f3(f3(a5,a2),f3(x4051,x4051)),x4052,a5)),
% 14.06/14.18 inference(scs_inference,[],[15,36,31,17,20,396,374,334,379,270,331,294,120,5,28,27,6,10,8])).
% 14.06/14.18 cnf(406,plain,
% 14.06/14.18 (~E(f3(a6,a7),f3(x4061,a2))),
% 14.06/14.18 inference(scs_inference,[],[15,36,31,17,20,396,374,403,367,334,379,270,331,294,120,5,28,27,6,10,8,3])).
% 14.06/14.18 cnf(407,plain,
% 14.06/14.18 (E(f3(x4071,a2),f3(x4072,x4072))),
% 14.06/14.18 inference(rename_variables,[],[374])).
% 14.06/14.18 cnf(408,plain,
% 14.06/14.18 (P1(f3(x4081,a2),f3(x4082,x4082))),
% 14.06/14.18 inference(scs_inference,[],[15,36,31,401,17,20,396,374,403,407,367,334,379,270,331,294,120,5,28,27,6,10,8,3,7])).
% 14.06/14.18 cnf(410,plain,
% 14.06/14.18 (E(f3(x4101,x4101),f3(x4102,a2))),
% 14.06/14.18 inference(scs_inference,[],[15,36,31,401,17,20,396,374,403,407,367,334,379,270,331,294,120,5,28,27,6,10,8,3,7,2])).
% 14.06/14.18 cnf(411,plain,
% 14.06/14.18 (P2(f3(x4111,a2),f3(x4112,x4112),a5)),
% 14.06/14.18 inference(scs_inference,[],[15,36,31,401,18,17,20,396,374,403,407,367,334,379,270,331,294,120,5,28,27,6,10,8,3,7,2,9])).
% 14.06/14.18 cnf(413,plain,
% 14.06/14.18 (~E(a1,a4)),
% 14.06/14.18 inference(scs_inference,[],[15,36,31,401,18,17,20,396,374,403,407,367,334,379,270,331,294,120,5,28,27,6,10,8,3,7,2,9,152])).
% 14.06/14.18 cnf(414,plain,
% 14.06/14.18 (~P1(f3(a6,a7),f3(f3(a1,a4),x4141))),
% 14.06/14.18 inference(scs_inference,[],[15,36,31,401,18,17,20,396,374,403,407,337,367,334,379,270,331,294,273,120,5,28,27,6,10,8,3,7,2,9,152,23])).
% 14.06/14.18 cnf(417,plain,
% 14.06/14.18 (P1(f3(f3(a5,a2),f3(x4171,x4171)),x4172)),
% 14.06/14.18 inference(scs_inference,[],[15,36,31,401,18,17,20,396,374,403,407,337,367,334,379,270,331,294,273,120,5,28,27,6,10,8,3,7,2,9,152,23,25])).
% 14.06/14.18 cnf(433,plain,
% 14.06/14.18 (~P2(f3(a6,a7),f3(a6,a6),a5)),
% 14.06/14.18 inference(scs_inference,[],[389,25])).
% 14.06/14.18 cnf(435,plain,
% 14.06/14.18 (~P2(a6,f3(a6,a6),a7)),
% 14.06/14.18 inference(scs_inference,[],[31,20,389,25,28])).
% 14.06/14.18 cnf(436,plain,
% 14.06/14.18 (P2(x4361,x4362,f3(x4361,x4362))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(437,plain,
% 14.06/14.18 (P1(x4371,x4371)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(445,plain,
% 14.06/14.18 (~P1(a8,f3(f3(a5,a2),f3(x4451,x4451)))),
% 14.06/14.18 inference(scs_inference,[],[31,20,436,19,417,389,345,298,77,25,28,29,22])).
% 14.06/14.18 cnf(448,plain,
% 14.06/14.18 (~E(f3(a6,a1),a8)),
% 14.06/14.18 inference(scs_inference,[],[36,31,20,436,19,417,389,345,298,331,77,25,28,29,22,3])).
% 14.06/14.18 cnf(449,plain,
% 14.06/14.18 (P1(f3(a7,a5),f3(f3(a6,a1),a1))),
% 14.06/14.18 inference(scs_inference,[],[36,31,20,436,19,223,417,389,356,345,298,331,77,25,28,29,22,3,7])).
% 14.06/14.18 cnf(452,plain,
% 14.06/14.18 (P1(f3(x4521,f3(a6,a1)),f3(x4521,a7))),
% 14.06/14.18 inference(scs_inference,[],[36,31,437,20,436,19,223,417,389,323,394,356,345,298,331,77,25,28,29,22,3,7,2,6])).
% 14.06/14.18 cnf(457,plain,
% 14.06/14.18 (P2(f3(x4571,a2),f3(x4572,a2),a5)),
% 14.06/14.18 inference(scs_inference,[],[36,37,31,437,20,436,19,223,417,389,323,410,394,361,356,411,345,53,298,331,77,25,28,29,22,3,7,2,6,10,8,9])).
% 14.06/14.18 cnf(462,plain,
% 14.06/14.18 (P1(f3(x4621,a2),f3(x4622,a2))),
% 14.06/14.18 inference(scs_inference,[],[457,25])).
% 14.06/14.18 cnf(465,plain,
% 14.06/14.18 (P1(x4651,x4651)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(468,plain,
% 14.06/14.18 (~P1(f3(a6,a7),f3(a2,a2))),
% 14.06/14.18 inference(scs_inference,[],[18,31,414,406,457,145,25,28,22])).
% 14.06/14.18 cnf(473,plain,
% 14.06/14.18 (P2(x4731,a5,x4731)),
% 14.06/14.18 inference(rename_variables,[],[19])).
% 14.06/14.18 cnf(475,plain,
% 14.06/14.18 (~E(f3(f3(a1,a4),x4751),f3(a6,a7))),
% 14.06/14.18 inference(scs_inference,[],[34,18,31,465,19,414,406,457,145,25,28,22,27,6])).
% 14.06/14.18 cnf(479,plain,
% 14.06/14.18 (~P2(f3(a6,a7),f3(a6,a6),f3(f3(a5,a2),f3(x4791,x4791)))),
% 14.06/14.18 inference(scs_inference,[],[34,18,31,465,19,473,414,406,457,433,133,334,145,25,28,22,27,6,8,10])).
% 14.06/14.18 cnf(480,plain,
% 14.06/14.18 (E(a5,f3(f3(x4801,a2),a5))),
% 14.06/14.18 inference(scs_inference,[],[34,37,18,31,465,19,473,341,414,406,457,433,133,334,145,25,28,22,27,6,8,10,3])).
% 14.06/14.18 cnf(481,plain,
% 14.06/14.18 (E(a5,f3(x4811,x4811))),
% 14.06/14.18 inference(rename_variables,[],[37])).
% 14.06/14.18 cnf(483,plain,
% 14.06/14.18 (~P1(a8,f3(f3(a5,a2),a5))),
% 14.06/14.18 inference(scs_inference,[],[34,37,18,31,465,19,473,341,414,406,457,433,445,133,313,334,145,25,28,22,27,6,8,10,3,7])).
% 14.06/14.18 cnf(486,plain,
% 14.06/14.18 (E(f3(x4861,x4861),a5)),
% 14.06/14.18 inference(scs_inference,[],[34,37,481,18,31,465,19,473,341,414,406,457,433,445,133,313,334,145,25,28,22,27,6,8,10,3,7,2])).
% 14.06/14.18 cnf(487,plain,
% 14.06/14.18 (~P2(f3(f3(a6,a6),f3(a6,a6)),a5,a2)),
% 14.06/14.18 inference(scs_inference,[],[34,37,481,18,31,465,19,473,341,414,406,248,457,433,445,133,313,334,145,25,28,22,27,6,8,10,3,7,2,9])).
% 14.06/14.18 cnf(498,plain,
% 14.06/14.18 (E(f3(x4981,a5),f3(x4981,f3(x4982,x4982)))),
% 14.06/14.18 inference(scs_inference,[],[37,468,25,5])).
% 14.06/14.18 cnf(499,plain,
% 14.06/14.18 (P1(f3(f3(a6,a8),a4),a5)),
% 14.06/14.18 inference(scs_inference,[],[37,19,20,468,357,25,5,28])).
% 14.06/14.18 cnf(500,plain,
% 14.06/14.18 (P2(x5001,a5,x5001)),
% 14.06/14.18 inference(rename_variables,[],[19])).
% 14.06/14.18 cnf(501,plain,
% 14.06/14.18 (P2(x5011,x5012,f3(x5011,x5012))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(504,plain,
% 14.06/14.18 (P2(a5,x5041,a5)),
% 14.06/14.18 inference(rename_variables,[],[17])).
% 14.06/14.18 cnf(507,plain,
% 14.06/14.18 (P2(x5071,x5072,f3(x5071,x5072))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(509,plain,
% 14.06/14.18 (E(a5,f3(f3(a6,a8),a4))),
% 14.06/14.18 inference(scs_inference,[],[17,37,19,500,20,501,402,468,357,13,25,5,28,29,22])).
% 14.06/14.18 cnf(512,plain,
% 14.06/14.18 (E(a5,f3(a5,x5121))),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,19,500,20,501,507,402,468,357,13,25,5,28,29,22,27])).
% 14.06/14.18 cnf(513,plain,
% 14.06/14.18 (P2(x5131,x5132,f3(x5131,x5132))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(518,plain,
% 14.06/14.18 (P1(f3(a5,x5181),f3(a1,a4))),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,31,19,500,20,501,507,393,279,402,468,300,357,13,25,5,28,29,22,27,3,7])).
% 14.06/14.18 cnf(519,plain,
% 14.06/14.18 (P1(x5191,x5191)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(520,plain,
% 14.06/14.18 (~E(f3(f3(a5,a2),a5),a8)),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,31,519,19,500,20,501,507,393,279,402,468,300,483,357,13,25,5,28,29,22,27,3,7,6])).
% 14.06/14.18 cnf(522,plain,
% 14.06/14.18 (~E(f3(a6,a7),f3(f3(a1,a4),x5221))),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,31,519,19,500,20,501,507,393,279,475,402,468,300,483,357,13,25,5,28,29,22,27,3,7,6,2])).
% 14.06/14.18 cnf(523,plain,
% 14.06/14.18 (P2(f3(x5231,x5231),x5232,f3(a5,x5232))),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,31,519,19,500,20,501,507,513,393,279,475,402,468,300,483,357,13,25,5,28,29,22,27,3,7,6,2,8])).
% 14.06/14.18 cnf(525,plain,
% 14.06/14.18 (P2(a5,x5251,f3(x5252,x5252))),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,31,519,19,500,20,501,507,513,393,279,475,402,468,300,483,357,13,25,5,28,29,22,27,3,7,6,2,8,10])).
% 14.06/14.18 cnf(526,plain,
% 14.06/14.18 (P2(f3(x5261,f3(a6,a1)),f3(x5261,a7),a5)),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,31,519,19,500,20,501,507,513,393,452,279,475,402,468,300,483,357,13,25,5,28,29,22,27,3,7,6,2,8,10,24])).
% 14.06/14.18 cnf(528,plain,
% 14.06/14.18 (E(f3(x5281,x5281),f3(x5282,x5282))),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,31,519,19,500,20,501,507,513,393,452,279,475,402,468,486,300,483,357,13,25,5,28,29,22,27,3,7,6,2,8,10,24,120])).
% 14.06/14.18 cnf(529,plain,
% 14.06/14.18 (E(f3(a5,x5291),f3(f3(x5292,x5292),x5291))),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,31,519,19,500,20,501,507,513,393,452,279,475,402,468,486,300,483,357,13,25,5,28,29,22,27,3,7,6,2,8,10,24,120,4])).
% 14.06/14.18 cnf(530,plain,
% 14.06/14.18 (~P2(f3(a2,a2),x5301,f3(a6,a7))),
% 14.06/14.18 inference(scs_inference,[],[17,504,37,31,519,19,500,20,501,507,513,393,452,279,475,402,468,486,300,483,357,13,25,5,28,29,22,27,3,7,6,2,8,10,24,120,4,26])).
% 14.06/14.18 cnf(532,plain,
% 14.06/14.18 (~P1(a6,a5)),
% 14.06/14.18 inference(scs_inference,[],[40,67,23])).
% 14.06/14.18 cnf(534,plain,
% 14.06/14.18 (~E(a6,f3(a1,a4))),
% 14.06/14.18 inference(scs_inference,[],[40,522,67,23,4])).
% 14.06/14.18 cnf(536,plain,
% 14.06/14.18 (E(f3(f3(a6,a8),a4),a5)),
% 14.06/14.18 inference(scs_inference,[],[40,522,499,67,13,23,4,22])).
% 14.06/14.18 cnf(545,plain,
% 14.06/14.18 (E(f3(x5451,f3(x5452,x5452)),f3(x5451,a5))),
% 14.06/14.18 inference(scs_inference,[],[40,31,20,378,498,518,522,499,67,171,13,23,4,22,27,7,6,2])).
% 14.06/14.18 cnf(551,plain,
% 14.06/14.18 (~E(a1,f3(a6,a6))),
% 14.06/14.18 inference(scs_inference,[],[40,31,37,20,381,378,498,518,522,530,487,435,499,67,171,112,331,13,23,4,22,27,7,6,2,10,3,8,152])).
% 14.06/14.18 cnf(552,plain,
% 14.06/14.18 (~E(a1,a5)),
% 14.06/14.18 inference(scs_inference,[],[40,31,37,20,381,378,498,518,522,530,487,435,499,67,171,112,331,13,23,4,22,27,7,6,2,10,3,8,152,120])).
% 14.06/14.18 cnf(556,plain,
% 14.06/14.18 (E(f3(f3(a6,a8),a4),f3(x5561,x5561))),
% 14.06/14.18 inference(scs_inference,[],[536,395,25,120])).
% 14.06/14.18 cnf(557,plain,
% 14.06/14.18 (E(f3(a5,x5571),f3(f3(a5,x5572),x5571))),
% 14.06/14.18 inference(scs_inference,[],[536,512,395,25,120,4])).
% 14.06/14.18 cnf(562,plain,
% 14.06/14.18 (P2(x5621,a5,x5621)),
% 14.06/14.18 inference(rename_variables,[],[19])).
% 14.06/14.18 cnf(564,plain,
% 14.06/14.18 (~P2(f3(a6,a7),f3(a6,a6),f3(f3(a5,a2),a5))),
% 14.06/14.18 inference(scs_inference,[],[36,19,479,552,536,512,395,498,13,25,120,4,22,27,10])).
% 14.06/14.18 cnf(567,plain,
% 14.06/14.18 (E(a5,f3(f3(x5671,a2),f3(a1,a4)))),
% 14.06/14.18 inference(scs_inference,[],[36,19,479,552,536,512,395,480,213,498,13,25,120,4,22,27,10,3])).
% 14.06/14.18 cnf(569,plain,
% 14.06/14.18 (~P1(a8,f3(f3(a6,a8),a4))),
% 14.06/14.18 inference(scs_inference,[],[36,40,19,479,552,536,512,395,480,213,498,13,25,120,4,22,27,10,3,7])).
% 14.06/14.18 cnf(571,plain,
% 14.06/14.18 (P1(f3(x5711,a2),f3(x5712,x5712))),
% 14.06/14.18 inference(rename_variables,[],[408])).
% 14.06/14.18 cnf(573,plain,
% 14.06/14.18 (~E(f3(a6,a7),f3(a5,x5731))),
% 14.06/14.18 inference(scs_inference,[],[36,40,19,562,408,479,448,552,536,512,395,480,213,287,498,389,13,25,120,4,22,27,10,3,7,6,2,8])).
% 14.06/14.18 cnf(576,plain,
% 14.06/14.18 (P2(f3(a5,x5761),f3(f3(x5762,x5762),x5761),a5)),
% 14.06/14.18 inference(scs_inference,[],[18,36,40,19,562,529,408,479,448,552,536,512,395,480,213,287,498,389,13,25,120,4,22,27,10,3,7,6,2,8,9])).
% 14.06/14.18 cnf(578,plain,
% 14.06/14.18 (~P1(f3(a6,a7),f3(x5781,a2))),
% 14.06/14.18 inference(scs_inference,[],[18,36,40,19,562,529,408,571,479,448,552,536,512,395,480,213,287,498,389,13,25,120,4,22,27,10,3,7,6,2,8,9,23])).
% 14.06/14.18 cnf(586,plain,
% 14.06/14.18 (P1(f3(a5,x5861),f3(f3(x5862,x5862),x5861))),
% 14.06/14.18 inference(scs_inference,[],[576,25])).
% 14.06/14.18 cnf(588,plain,
% 14.06/14.18 (E(f3(a1,a4),f3(a5,x5881))),
% 14.06/14.18 inference(scs_inference,[],[576,229,518,25,22])).
% 14.06/14.18 cnf(591,plain,
% 14.06/14.18 (P1(f3(f3(a6,a8),a4),f3(x5911,x5911))),
% 14.06/14.18 inference(scs_inference,[],[31,556,576,229,518,25,22,7])).
% 14.06/14.18 cnf(592,plain,
% 14.06/14.18 (P1(x5921,x5921)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(595,plain,
% 14.06/14.18 (E(f3(x5951,x5951),f3(f3(a6,a8),a4))),
% 14.06/14.18 inference(scs_inference,[],[31,592,556,576,569,229,518,25,22,7,6,2])).
% 14.06/14.18 cnf(596,plain,
% 14.06/14.18 (P2(x5961,x5961,f3(x5962,x5962))),
% 14.06/14.18 inference(scs_inference,[],[18,31,592,37,556,576,569,229,518,25,22,7,6,2,10])).
% 14.06/14.18 cnf(597,plain,
% 14.06/14.18 (~E(f3(a6,a7),f3(f3(a6,a8),a4))),
% 14.06/14.18 inference(scs_inference,[],[18,31,592,37,556,573,576,569,229,518,25,22,7,6,2,10,3])).
% 14.06/14.18 cnf(600,plain,
% 14.06/14.18 (P2(f3(x6001,x6001),x6002,f3(x6003,x6003))),
% 14.06/14.18 inference(scs_inference,[],[18,31,592,37,556,525,573,576,569,229,518,25,22,7,6,2,10,3,8])).
% 14.06/14.18 cnf(601,plain,
% 14.06/14.18 (P2(f3(a7,f3(a6,a1)),f3(x6011,x6011),a5)),
% 14.06/14.18 inference(scs_inference,[],[18,31,592,37,528,556,525,573,576,526,569,229,518,25,22,7,6,2,10,3,8,9])).
% 14.06/14.18 cnf(604,plain,
% 14.06/14.18 (~P2(a6,a7,a7)),
% 14.06/14.18 inference(scs_inference,[],[18,31,592,37,19,20,528,556,525,573,576,526,569,229,518,226,25,22,7,6,2,10,3,8,9,29])).
% 14.06/14.18 cnf(612,plain,
% 14.06/14.18 (~P2(f3(x6121,x6121),f3(x6122,x6122),a8)),
% 14.06/14.18 inference(scs_inference,[],[19,40,405,578,179,77,25,29])).
% 14.06/14.18 cnf(614,plain,
% 14.06/14.18 (P2(x6141,a5,x6141)),
% 14.06/14.18 inference(rename_variables,[],[19])).
% 14.06/14.18 cnf(618,plain,
% 14.06/14.18 (E(x6181,f3(x6181,a5))),
% 14.06/14.18 inference(scs_inference,[],[19,614,40,20,405,578,179,77,25,29,27])).
% 14.06/14.18 cnf(619,plain,
% 14.06/14.18 (P2(x6191,x6192,f3(x6191,x6192))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(621,plain,
% 14.06/14.18 (E(f3(a7,f3(a6,a1)),f3(a7,a7))),
% 14.06/14.18 inference(scs_inference,[],[19,614,40,20,405,578,179,452,145,77,25,29,27,22])).
% 14.06/14.18 cnf(625,plain,
% 14.06/14.18 (P1(f3(a5,x6251),f3(f3(a6,a8),a4))),
% 14.06/14.18 inference(scs_inference,[],[19,614,40,20,595,302,405,578,179,452,145,77,25,29,27,22,7])).
% 14.06/14.18 cnf(627,plain,
% 14.06/14.18 (P1(f3(x6271,a5),f3(x6271,f3(x6272,x6272)))),
% 14.06/14.18 inference(scs_inference,[],[19,614,40,31,20,595,545,302,405,578,179,452,145,77,25,29,27,22,7,6])).
% 14.06/14.18 cnf(630,plain,
% 14.06/14.18 (P2(f3(a7,f3(a6,a1)),f3(x6301,x6301),f3(x6302,x6302))),
% 14.06/14.18 inference(scs_inference,[],[19,614,40,31,37,20,595,545,302,597,405,601,578,179,452,145,77,25,29,27,22,7,6,2,10])).
% 14.06/14.18 cnf(633,plain,
% 14.06/14.18 (~E(f3(a8,a5),a5)),
% 14.06/14.18 inference(scs_inference,[],[19,614,52,40,31,37,20,595,545,302,588,597,405,601,578,339,179,452,145,77,25,29,27,22,7,6,2,10,8,3])).
% 14.06/14.18 cnf(638,plain,
% 14.06/14.18 (E(f3(x6381,a5),f3(x6381,f3(a5,x6382)))),
% 14.06/14.18 inference(scs_inference,[],[19,614,52,40,31,37,20,449,595,545,302,588,564,597,405,601,578,339,179,452,512,145,77,25,29,27,22,7,6,2,10,8,3,9,24,5])).
% 14.06/14.18 cnf(641,plain,
% 14.06/14.18 (~P2(f3(a6,a8),a5,f3(a6,f3(a8,a2)))),
% 14.06/14.18 inference(scs_inference,[],[19,614,52,40,31,37,20,619,449,595,545,302,588,564,597,405,601,578,339,179,395,452,499,512,145,77,25,29,27,22,7,6,2,10,8,3,9,24,5,26,28])).
% 14.06/14.18 cnf(644,plain,
% 14.06/14.18 (P2(a6,f3(a1,a5),a7)),
% 14.06/14.18 inference(scs_inference,[],[618,152])).
% 14.06/14.18 cnf(645,plain,
% 14.06/14.18 (E(x6451,f3(x6451,a5))),
% 14.06/14.18 inference(rename_variables,[],[618])).
% 14.06/14.18 cnf(646,plain,
% 14.06/14.18 (P1(f3(a7,f3(a6,a1)),f3(x6461,x6461))),
% 14.06/14.18 inference(scs_inference,[],[618,601,152,25])).
% 14.06/14.18 cnf(648,plain,
% 14.06/14.18 (~P1(f3(a8,a5),a5)),
% 14.06/14.18 inference(scs_inference,[],[19,40,20,618,601,152,25,28])).
% 14.06/14.18 cnf(649,plain,
% 14.06/14.18 (P2(x6491,x6492,f3(x6491,x6492))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(650,plain,
% 14.06/14.18 (P2(x6501,a5,x6501)),
% 14.06/14.18 inference(rename_variables,[],[19])).
% 14.06/14.18 cnf(652,plain,
% 14.06/14.18 (~P2(a1,a4,a8)),
% 14.06/14.18 inference(scs_inference,[],[19,53,32,40,20,618,601,152,25,28,27])).
% 14.06/14.18 cnf(660,plain,
% 14.06/14.18 (P2(x6601,a5,x6601)),
% 14.06/14.18 inference(rename_variables,[],[19])).
% 14.06/14.18 cnf(661,plain,
% 14.06/14.18 (E(a5,f3(f3(x6611,x6611),a5))),
% 14.06/14.18 inference(scs_inference,[],[19,650,53,32,40,37,20,618,645,641,253,601,313,12,152,25,28,27,22,10,8,3])).
% 14.06/14.18 cnf(662,plain,
% 14.06/14.18 (E(x6621,f3(x6621,a5))),
% 14.06/14.18 inference(rename_variables,[],[618])).
% 14.06/14.18 cnf(663,plain,
% 14.06/14.18 (~P1(a6,f3(x6631,x6631))),
% 14.06/14.18 inference(scs_inference,[],[19,650,53,32,40,37,20,618,645,641,253,532,601,486,313,12,152,25,28,27,22,10,8,3,7])).
% 14.06/14.18 cnf(665,plain,
% 14.06/14.18 (E(f3(x6651,a5),x6651)),
% 14.06/14.18 inference(scs_inference,[],[19,650,53,32,40,37,20,618,645,662,641,625,253,532,601,486,569,313,12,152,25,28,27,22,10,8,3,7,6,2])).
% 14.06/14.18 cnf(666,plain,
% 14.06/14.18 (P2(x6661,f3(f3(x6662,a2),f3(a1,a4)),x6661)),
% 14.06/14.18 inference(scs_inference,[],[19,650,660,53,32,40,37,20,618,645,662,641,625,253,567,532,601,486,569,313,12,152,25,28,27,22,10,8,3,7,6,2,9])).
% 14.06/14.18 cnf(672,plain,
% 14.06/14.18 (~P1(f3(a6,a1),a4)),
% 14.06/14.18 inference(scs_inference,[],[19,650,660,53,32,40,37,20,649,618,645,662,641,625,253,567,532,601,486,569,313,12,15,152,25,28,27,22,10,8,3,7,6,2,9,57,29,24])).
% 14.06/14.18 cnf(675,plain,
% 14.06/14.18 (P2(f3(f3(a6,a8),a4),f3(x6751,x6751),a5)),
% 14.06/14.18 inference(scs_inference,[],[591,604,152,24])).
% 14.06/14.18 cnf(677,plain,
% 14.06/14.18 (~P1(f3(a8,f3(x6771,x6771)),a5)),
% 14.06/14.18 inference(scs_inference,[],[591,627,604,648,152,24,23])).
% 14.06/14.18 cnf(683,plain,
% 14.06/14.18 (P2(x6831,x6832,f3(x6831,x6832))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(684,plain,
% 14.06/14.18 (P1(x6841,x6841)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(699,plain,
% 14.06/14.18 (P1(f3(a5,x6991),f3(f3(a5,x6992),x6991))),
% 14.06/14.18 inference(scs_inference,[],[20,59,34,31,684,596,666,621,591,586,627,557,462,672,604,648,367,77,152,24,23,25,28,29,27,22,3,7])).
% 14.06/14.18 cnf(701,plain,
% 14.06/14.18 (~P1(f3(a2,a5),a7)),
% 14.06/14.18 inference(scs_inference,[],[20,59,34,31,684,596,666,621,591,586,627,665,557,462,672,604,648,367,77,152,24,23,25,28,29,27,22,3,7,6])).
% 14.06/14.18 cnf(702,plain,
% 14.06/14.18 (E(f3(x7021,a5),x7021)),
% 14.06/14.18 inference(rename_variables,[],[665])).
% 14.06/14.18 cnf(703,plain,
% 14.06/14.18 (P2(a7,f3(a6,a1),f3(a7,a7))),
% 14.06/14.18 inference(scs_inference,[],[20,683,59,34,31,684,596,666,621,591,586,627,665,557,462,672,604,648,367,77,152,24,23,25,28,29,27,22,3,7,6,10])).
% 14.06/14.18 cnf(705,plain,
% 14.06/14.18 (P2(f3(a1,a5),a4,a5)),
% 14.06/14.18 inference(scs_inference,[],[20,683,59,34,53,31,684,596,666,621,591,586,627,665,557,462,672,604,648,618,367,77,152,24,23,25,28,29,27,22,3,7,6,10,8])).
% 14.06/14.18 cnf(706,plain,
% 14.06/14.18 (E(x7061,f3(x7061,a5))),
% 14.06/14.18 inference(rename_variables,[],[618])).
% 14.06/14.18 cnf(708,plain,
% 14.06/14.18 (P2(a1,f3(a4,a5),a5)),
% 14.06/14.18 inference(scs_inference,[],[20,683,59,34,53,31,684,596,666,621,591,586,627,665,557,462,672,520,604,648,618,706,367,77,152,24,23,25,28,29,27,22,3,7,6,10,8,2,9])).
% 14.06/14.18 cnf(710,plain,
% 14.06/14.18 (E(f3(f3(x7101,a5),x7102),f3(x7101,x7102))),
% 14.06/14.18 inference(scs_inference,[],[20,683,59,34,53,31,684,596,666,621,591,586,627,665,702,557,462,672,520,604,648,618,706,367,77,152,24,23,25,28,29,27,22,3,7,6,10,8,2,9,4])).
% 14.06/14.18 cnf(711,plain,
% 14.06/14.18 (P1(f3(a1,a5),a4)),
% 14.06/14.18 inference(scs_inference,[],[705,25])).
% 14.06/14.18 cnf(714,plain,
% 14.06/14.18 (P1(x7141,x7141)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(715,plain,
% 14.06/14.18 (P2(x7151,x7152,f3(x7151,x7152))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(719,plain,
% 14.06/14.18 (P2(x7191,x7192,f3(x7191,x7192))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(721,plain,
% 14.06/14.18 (P2(f3(x7211,x7211),x7212,f3(x7213,x7213))),
% 14.06/14.18 inference(rename_variables,[],[600])).
% 14.06/14.18 cnf(723,plain,
% 14.06/14.18 (~P1(a4,a1)),
% 14.06/14.18 inference(scs_inference,[],[20,715,59,40,31,600,705,413,309,11,25,28,29,22])).
% 14.06/14.18 cnf(725,plain,
% 14.06/14.18 (E(f3(f3(x7251,x7251),x7252),f3(x7253,x7253))),
% 14.06/14.18 inference(scs_inference,[],[20,715,719,59,40,31,600,721,705,413,309,11,25,28,29,22,27])).
% 14.06/14.18 cnf(734,plain,
% 14.06/14.18 (P1(f3(x7341,x7342),f3(f3(x7341,a5),x7342))),
% 14.06/14.18 inference(scs_inference,[],[20,715,719,34,59,40,31,714,37,600,721,710,675,701,705,413,309,627,618,11,25,28,29,22,27,3,7,10,6])).
% 14.06/14.18 cnf(738,plain,
% 14.06/14.18 (~P2(f3(x7381,x7381),f3(x7382,x7382),a8)),
% 14.06/14.18 inference(rename_variables,[],[612])).
% 14.06/14.18 cnf(739,plain,
% 14.06/14.18 (E(f3(x7391,x7392),f3(f3(x7391,a5),x7392))),
% 14.06/14.18 inference(scs_inference,[],[20,715,719,34,59,40,31,714,37,600,721,710,638,612,675,701,705,413,309,627,618,11,25,28,29,22,27,3,7,10,6,8,2])).
% 14.06/14.18 cnf(742,plain,
% 14.06/14.18 (~P1(a6,f3(a7,f3(a6,a1)))),
% 14.06/14.18 inference(scs_inference,[],[20,715,719,34,59,40,31,714,37,600,721,646,710,638,612,738,675,663,701,705,413,309,627,618,11,25,28,29,22,27,3,7,10,6,8,2,9,23])).
% 14.06/14.18 cnf(749,plain,
% 14.06/14.18 (P2(x7491,x7492,f3(x7491,x7492))),
% 14.06/14.18 inference(rename_variables,[],[20])).
% 14.06/14.18 cnf(751,plain,
% 14.06/14.18 (P1(a7,f3(a7,f3(a1,a5)))),
% 14.06/14.18 inference(scs_inference,[],[644,742,596,666,67,77,20,749,25,28,29])).
% 14.06/14.18 cnf(756,plain,
% 14.06/14.18 (~P1(a1,f3(a6,a6))),
% 14.06/14.18 inference(scs_inference,[],[644,551,742,596,666,67,145,77,20,749,25,28,29,22])).
% 14.06/14.18 cnf(761,plain,
% 14.06/14.18 (~P2(a7,x7611,f3(a8,a5))),
% 14.06/14.18 inference(scs_inference,[],[30,62,32,644,551,742,596,666,665,67,145,77,20,749,25,28,29,22,27,10])).
% 14.06/14.18 cnf(762,plain,
% 14.06/14.18 (E(f3(x7621,a5),x7621)),
% 14.06/14.18 inference(rename_variables,[],[665])).
% 14.06/14.18 cnf(763,plain,
% 14.06/14.18 (E(f3(a5,x7631),f3(f3(a1,a5),a4))),
% 14.06/14.18 inference(scs_inference,[],[30,62,32,739,644,551,742,596,666,665,279,67,145,77,20,749,25,28,29,22,27,10,3])).
% 14.06/14.18 cnf(765,plain,
% 14.06/14.18 (~P1(a2,f3(a7,a5))),
% 14.06/14.18 inference(scs_inference,[],[30,62,32,59,739,644,551,742,596,666,665,762,279,67,145,77,20,749,25,28,29,22,27,10,3,7])).
% 14.06/14.18 cnf(766,plain,
% 14.06/14.18 (E(f3(x7661,a5),x7661)),
% 14.06/14.18 inference(rename_variables,[],[665])).
% 14.06/14.18 cnf(771,plain,
% 14.06/14.18 (P2(f3(f3(x7711,x7711),a5),f3(x7712,x7712),a5)),
% 14.06/14.18 inference(scs_inference,[],[30,62,32,59,725,734,739,644,551,742,652,596,666,665,762,279,663,67,145,77,15,20,749,25,28,29,22,27,10,3,7,6,8,9])).
% 14.06/14.18 cnf(775,plain,
% 14.06/14.18 (~E(a4,a5)),
% 14.06/14.18 inference(scs_inference,[],[30,62,32,59,725,734,739,644,633,551,742,652,596,666,665,762,279,663,67,145,77,15,20,749,25,28,29,22,27,10,3,7,6,8,9,2,121])).
% 14.06/14.18 cnf(776,plain,
% 14.06/14.18 (E(f3(x7761,f3(x7762,a5)),f3(x7761,x7762))),
% 14.06/14.18 inference(scs_inference,[],[30,62,32,59,725,734,739,644,633,551,742,652,596,666,665,762,766,279,663,67,145,77,15,20,749,25,28,29,22,27,10,3,7,6,8,9,2,121,5])).
% 14.06/14.18 cnf(781,plain,
% 14.06/14.18 (E(f3(a7,f3(a1,a5)),a7)),
% 14.06/14.18 inference(scs_inference,[],[771,751,189,25,22])).
% 14.06/14.18 cnf(787,plain,
% 14.06/14.18 (P1(f3(x7871,f3(x7872,a5)),f3(x7871,x7872))),
% 14.06/14.18 inference(scs_inference,[],[36,31,776,771,751,666,189,25,22,27,7])).
% 14.06/14.18 cnf(793,plain,
% 14.06/14.18 (E(f3(x7931,x7932),f3(f3(x7931,a5),x7932))),
% 14.06/14.18 inference(rename_variables,[],[739])).
% 14.06/14.18 cnf(795,plain,
% 14.06/14.18 (E(f3(x7951,f3(x7952,a5)),f3(x7951,x7952))),
% 14.06/14.18 inference(rename_variables,[],[776])).
% 14.06/14.18 cnf(796,plain,
% 14.06/14.18 (E(f3(x7961,x7962),f3(x7961,f3(x7962,a5)))),
% 14.06/14.18 inference(scs_inference,[],[36,62,31,37,534,630,776,795,771,723,751,739,666,665,189,25,22,27,7,6,10,8,3,2])).
% 14.06/14.18 cnf(797,plain,
% 14.06/14.18 (P2(a7,f3(f3(a6,a5),a1),f3(a7,a7))),
% 14.06/14.18 inference(scs_inference,[],[36,62,31,37,534,630,776,795,703,771,723,751,739,793,666,665,189,25,22,27,7,6,10,8,3,2,9])).
% 14.06/14.18 cnf(808,plain,
% 14.06/14.18 (P1(x8081,x8081)),
% 14.06/14.18 inference(rename_variables,[],[31])).
% 14.06/14.18 cnf(810,plain,
% 14.06/14.18 (E(a7,f3(a7,f3(a1,a5)))),
% 14.06/14.18 inference(scs_inference,[],[31,59,756,523,751,189,25,28,22])).
% 14.06/14.18 cnf(813,plain,
% 14.06/14.18 (P1(f3(a5,x8131),f3(f3(a5,x8132),f3(x8131,a5)))),
% 14.06/14.18 inference(scs_inference,[],[31,59,796,699,756,523,751,189,25,28,22,7])).
% 14.06/14.18 cnf(820,plain,
% 14.06/14.18 (~E(f3(a7,a7),f3(a8,a5))),
% 14.06/14.18 inference(scs_inference,[],[31,808,59,111,796,699,763,761,797,756,523,751,618,189,25,28,22,7,3,6,10])).
% 14.06/14.18 cnf(821,plain,
% 14.06/14.18 (~P2(a7,x8211,f3(a8,a5))),
% 14.06/14.18 inference(rename_variables,[],[761])).
% 14.06/14.18 cnf(822,plain,
% 14.06/14.18 (~P2(f3(a7,f3(a1,a5)),x8221,f3(a8,a5))),
% 14.06/14.18 inference(scs_inference,[],[31,808,59,111,796,699,763,761,821,797,756,781,523,751,618,189,25,28,22,7,3,6,10,8])).
% 14.06/14.18 cnf(827,plain,
% 14.06/14.18 (E(f3(f3(x8271,x8271),x8272),f3(a5,x8272))),
% 14.06/14.18 inference(scs_inference,[],[31,808,65,59,111,775,796,699,763,761,821,797,756,781,523,751,486,618,189,25,28,22,7,3,6,10,8,2,9,24,4])).
% 14.06/14.18 cnf(838,plain,
% 14.06/14.18 (P2(f3(x8381,x8381),a5,f3(a5,x8382))),
% 14.06/14.18 inference(rename_variables,[],[306])).
% 14.06/14.18 cnf(840,plain,
% 14.06/14.18 (~P1(f3(a8,a5),f3(a7,a7))),
% 14.06/14.18 inference(scs_inference,[],[31,62,820,787,677,708,734,306,145,24,23,25,28,22])).
% 14.06/14.18 cnf(852,plain,
% 14.06/14.18 (E(f3(f3(x8521,x8521),a5),a5)),
% 14.06/14.18 inference(scs_inference,[],[31,65,62,59,820,787,822,765,509,661,677,708,734,796,306,536,781,666,145,24,23,25,28,22,8,7,6,3,10,2])).
% 14.06/14.18 cnf(853,plain,
% 14.06/14.18 (P2(f3(x8531,x8531),f3(x8532,x8532),f3(a5,x8533))),
% 14.06/14.18 inference(scs_inference,[],[31,65,62,59,37,820,787,822,765,509,661,677,708,734,796,306,838,536,781,666,145,24,23,25,28,22,8,7,6,3,10,2,9])).
% 14.06/14.18 cnf(855,plain,
% 14.06/14.18 (P1(f3(f3(a5,a2),f3(x8551,x8551)),x8552)),
% 14.06/14.18 inference(rename_variables,[],[417])).
% 14.06/14.18 cnf(864,plain,
% 14.06/14.18 (E(f3(f3(x8641,x8641),x8642),f3(a5,x8642))),
% 14.06/14.18 inference(rename_variables,[],[827])).
% 14.06/14.18 cnf(874,plain,
% 14.06/14.18 (P2(a6,f3(a1,a5),f3(a7,f3(a1,a5)))),
% 14.06/14.18 inference(scs_inference,[],[62,59,840,853,827,864,813,852,810,348,211,417,855,545,644,23,25,22,3,8,9,7,6,10])).
% 14.06/14.18 cnf(1478,plain,
% 14.06/14.18 (~P1(f3(a6,a7),f3(a1,a5))),
% 14.06/14.18 inference(scs_inference,[],[92,711,23])).
% 14.06/14.18 cnf(3333,plain,
% 14.06/14.18 ($false),
% 14.06/14.18 inference(scs_inference,[],[189,1478,874,20,28]),
% 14.06/14.18 ['proof']).
% 14.06/14.18 % SZS output end Proof
% 14.06/14.18 % Total time :13.550000s
%------------------------------------------------------------------------------