TSTP Solution File: ALG070+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG070+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 15:58:44 EDT 2023
% Result : Theorem 127.30s 127.42s
% Output : CNFRefutation 127.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : ALG070+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Mon Aug 28 02:40:30 EDT 2023
% 0.09/0.27 % CPUTime :
% 0.12/0.48 start to proof:theBenchmark
% 127.20/127.40 %-------------------------------------------
% 127.20/127.40 % File :CSE---1.6
% 127.20/127.40 % Problem :theBenchmark
% 127.20/127.40 % Transform :cnf
% 127.20/127.40 % Format :tptp:raw
% 127.20/127.40 % Command :java -jar mcs_scs.jar %d %s
% 127.20/127.40
% 127.20/127.40 % Result :Theorem 126.810000s
% 127.20/127.40 % Output :CNFRefutation 126.810000s
% 127.20/127.40 %-------------------------------------------
% 127.30/127.41 %--------------------------------------------------------------------------
% 127.30/127.41 % File : ALG070+1 : TPTP v8.1.2. Released v2.7.0.
% 127.30/127.41 % Domain : General Algebra
% 127.30/127.41 % Problem : Loops 5: CPROPS-SORTED-DISCRIMINANT-PROBLEM-2
% 127.30/127.41 % Version : Especial.
% 127.30/127.41 % English :
% 127.30/127.41
% 127.30/127.41 % Refs : [Mei03] Meier (2003), Email to G.Sutcliffe
% 127.30/127.41 % : [CM+04] Colton et al. (2004), Automatic Generation of Classifi
% 127.30/127.41 % Source : [Mei03]
% 127.30/127.41 % Names :
% 127.30/127.41
% 127.30/127.41 % Status : Theorem
% 127.30/127.41 % Rating : 0.17 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.13 v7.3.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.26 v5.4.0, 0.29 v5.3.0, 0.41 v5.2.0, 0.14 v5.0.0, 0.22 v4.0.0, 0.21 v3.7.0, 0.10 v3.5.0, 0.05 v3.4.0, 0.16 v3.3.0, 0.07 v3.2.0, 0.11 v2.7.0
% 127.30/127.41 % Syntax : Number of formulae : 5 ( 0 unt; 0 def)
% 127.30/127.41 % Number of atoms : 28 ( 8 equ)
% 127.30/127.41 % Maximal formula atoms : 14 ( 5 avg)
% 127.30/127.41 % Number of connectives : 27 ( 4 ~; 2 |; 4 &)
% 127.30/127.41 % ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% 127.30/127.41 % Maximal formula depth : 9 ( 7 avg)
% 127.30/127.41 % Maximal term depth : 3 ( 1 avg)
% 127.30/127.41 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 127.30/127.41 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 127.30/127.41 % Number of variables : 16 ( 16 !; 0 ?)
% 127.30/127.41 % SPC : FOF_THM_RFO_SEQ
% 127.30/127.41
% 127.30/127.41 % Comments :
% 127.30/127.41 %--------------------------------------------------------------------------
% 127.30/127.41 fof(ax1,axiom,
% 127.30/127.41 ! [U] :
% 127.30/127.41 ( sorti1(U)
% 127.30/127.41 => ! [V] :
% 127.30/127.41 ( sorti1(V)
% 127.30/127.41 => sorti1(op1(U,V)) ) ) ).
% 127.30/127.41
% 127.30/127.41 fof(ax2,axiom,
% 127.30/127.41 ! [U] :
% 127.30/127.41 ( sorti2(U)
% 127.30/127.41 => ! [V] :
% 127.30/127.41 ( sorti2(V)
% 127.30/127.41 => sorti2(op2(U,V)) ) ) ).
% 127.30/127.41
% 127.30/127.41 fof(ax3,axiom,
% 127.30/127.41 ! [U] :
% 127.30/127.41 ( sorti1(U)
% 127.30/127.41 => ! [V] :
% 127.30/127.41 ( sorti1(V)
% 127.30/127.41 => ( op1(U,U) != V
% 127.30/127.41 | op1(U,V) = U ) ) ) ).
% 127.30/127.41
% 127.30/127.41 fof(ax4,axiom,
% 127.30/127.41 ~ ! [U] :
% 127.30/127.41 ( sorti2(U)
% 127.30/127.42 => ! [V] :
% 127.30/127.42 ( sorti2(V)
% 127.30/127.42 => ( op2(U,U) != V
% 127.30/127.42 | op2(U,V) = U ) ) ) ).
% 127.30/127.42
% 127.30/127.42 fof(co1,conjecture,
% 127.30/127.42 ( ( ! [U] :
% 127.30/127.42 ( sorti1(U)
% 127.30/127.42 => sorti2(h(U)) )
% 127.30/127.42 & ! [V] :
% 127.30/127.42 ( sorti2(V)
% 127.30/127.42 => sorti1(j(V)) ) )
% 127.30/127.42 => ~ ( ! [W] :
% 127.30/127.42 ( sorti1(W)
% 127.30/127.42 => ! [X] :
% 127.30/127.42 ( sorti1(X)
% 127.30/127.42 => h(op1(W,X)) = op2(h(W),h(X)) ) )
% 127.30/127.42 & ! [Y] :
% 127.30/127.42 ( sorti2(Y)
% 127.30/127.42 => ! [Z] :
% 127.30/127.42 ( sorti2(Z)
% 127.30/127.42 => j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )
% 127.30/127.42 & ! [X1] :
% 127.30/127.42 ( sorti2(X1)
% 127.30/127.42 => h(j(X1)) = X1 )
% 127.30/127.42 & ! [X2] :
% 127.30/127.42 ( sorti1(X2)
% 127.30/127.42 => j(h(X2)) = X2 ) ) ) ).
% 127.30/127.42
% 127.30/127.42 %--------------------------------------------------------------------------
% 127.30/127.42 %-------------------------------------------
% 127.30/127.42 % Proof found
% 127.30/127.42 % SZS status Theorem for theBenchmark
% 127.30/127.42 % SZS output start Proof
% 127.30/127.42 %ClaNum:24(EqnAxiom:11)
% 127.30/127.42 %VarNum:38(SingletonVarNum:14)
% 127.30/127.42 %MaxLitNum:4
% 127.30/127.42 %MaxfuncDepth:2
% 127.30/127.42 %SharedTerms:8
% 127.30/127.42 %goalClause: 16 17 18 19 23 24
% 127.30/127.42 [12]P1(a1)
% 127.30/127.42 [13]P1(a2)
% 127.30/127.42 [14]E(f3(a1,a1),a2)
% 127.30/127.42 [15]~E(f3(a1,a2),a1)
% 127.30/127.42 [16]~P1(x161)+P2(f4(x161))
% 127.30/127.42 [17]~P2(x171)+P1(f5(x171))
% 127.30/127.42 [18]~P1(x181)+E(f5(f4(x181)),x181)
% 127.30/127.42 [19]~P2(x191)+E(f4(f5(x191)),x191)
% 127.30/127.42 [20]~P2(x202)+~P2(x201)+P2(f6(x201,x202))
% 127.30/127.42 [21]~P1(x212)+~P1(x211)+P1(f3(x211,x212))
% 127.30/127.42 [23]~P2(x232)+~P2(x231)+E(f3(f5(x231),f5(x232)),f5(f6(x231,x232)))
% 127.30/127.42 [24]~P1(x242)+~P1(x241)+E(f6(f4(x241),f4(x242)),f4(f3(x241,x242)))
% 127.30/127.42 [22]~P2(x222)+~P2(x221)+~E(f6(x221,x221),x222)+E(f6(x221,x222),x221)
% 127.30/127.42 %EqnAxiom
% 127.30/127.42 [1]E(x11,x11)
% 127.30/127.42 [2]E(x22,x21)+~E(x21,x22)
% 127.30/127.42 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 127.30/127.42 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 127.30/127.42 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 127.30/127.42 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 127.30/127.42 [7]~E(x71,x72)+E(f5(x71),f5(x72))
% 127.30/127.42 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 127.30/127.42 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 127.30/127.42 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 127.30/127.42 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 127.30/127.42
% 127.30/127.42 %-------------------------------------------
% 127.30/127.43 cnf(25,plain,
% 127.30/127.43 (E(a2,f3(a1,a1))),
% 127.30/127.43 inference(scs_inference,[],[14,2])).
% 127.30/127.43 cnf(26,plain,
% 127.30/127.43 (P1(f3(a1,a1))),
% 127.30/127.43 inference(scs_inference,[],[13,14,2,10])).
% 127.30/127.43 cnf(27,plain,
% 127.30/127.43 (E(f5(f4(a1)),a1)),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,2,10,18])).
% 127.30/127.43 cnf(29,plain,
% 127.30/127.43 (P2(f4(a1))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,2,10,18,16])).
% 127.30/127.43 cnf(31,plain,
% 127.30/127.43 (E(f6(x311,f3(a1,a1)),f6(x311,a2))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,2,10,18,16,9])).
% 127.30/127.43 cnf(32,plain,
% 127.30/127.43 (E(f6(f3(a1,a1),x321),f6(a2,x321))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,2,10,18,16,9,8])).
% 127.30/127.43 cnf(34,plain,
% 127.30/127.43 (E(f4(f3(a1,a1)),f4(a2))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,2,10,18,16,9,8,7,6])).
% 127.30/127.43 cnf(35,plain,
% 127.30/127.43 (E(f3(x351,f3(a1,a1)),f3(x351,a2))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,2,10,18,16,9,8,7,6,5])).
% 127.30/127.43 cnf(36,plain,
% 127.30/127.43 (E(f3(f3(a1,a1),x361),f3(a2,x361))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,2,10,18,16,9,8,7,6,5,4])).
% 127.30/127.43 cnf(37,plain,
% 127.30/127.43 (~E(f4(a1),x371)+P2(x371)),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,2,10,18,16,9,8,7,6,5,4,11])).
% 127.30/127.43 cnf(38,plain,
% 127.30/127.43 (~E(f3(a1,a2),f5(f4(a1)))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,15,2,10,18,16,9,8,7,6,5,4,11,3])).
% 127.30/127.43 cnf(39,plain,
% 127.30/127.43 (P1(f3(a2,a2))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,15,2,10,18,16,9,8,7,6,5,4,11,3,21])).
% 127.30/127.43 cnf(41,plain,
% 127.30/127.43 (P2(f6(f4(a1),f4(a1)))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,15,2,10,18,16,9,8,7,6,5,4,11,3,21,20])).
% 127.30/127.43 cnf(43,plain,
% 127.30/127.43 (E(f6(f4(a1),f4(a1)),f4(f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[12,13,14,15,2,10,18,16,9,8,7,6,5,4,11,3,21,20,24])).
% 127.30/127.43 cnf(48,plain,
% 127.30/127.43 (E(f4(f5(f4(a1))),f4(a1))),
% 127.30/127.43 inference(scs_inference,[],[29,19])).
% 127.30/127.43 cnf(52,plain,
% 127.30/127.43 (E(f6(f4(a2),f4(a2)),f4(f3(a2,a2)))),
% 127.30/127.43 inference(scs_inference,[],[13,41,29,19,17,24])).
% 127.30/127.43 cnf(57,plain,
% 127.30/127.43 (P1(f3(f3(a1,a1),f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[13,31,32,41,26,29,19,17,24,3,21])).
% 127.30/127.43 cnf(59,plain,
% 127.30/127.43 (~E(a1,f3(a1,a2))),
% 127.30/127.43 inference(scs_inference,[],[15,13,31,32,41,26,29,19,17,24,3,21,2])).
% 127.30/127.43 cnf(60,plain,
% 127.30/127.43 (P1(f3(f3(a1,a1),a2))),
% 127.30/127.43 inference(scs_inference,[],[15,13,31,32,35,41,26,29,19,17,24,3,21,2,10])).
% 127.30/127.43 cnf(71,plain,
% 127.30/127.43 (E(f3(f3(a1,a1),f3(a1,a1)),f3(a2,a2))),
% 127.30/127.43 inference(scs_inference,[],[36,35,3])).
% 127.30/127.43 cnf(74,plain,
% 127.30/127.43 (E(f4(f3(a1,a1)),f6(f4(a1),f4(a1)))),
% 127.30/127.43 inference(scs_inference,[],[43,36,35,3,2])).
% 127.30/127.43 cnf(75,plain,
% 127.30/127.43 (~E(a1,f3(a1,f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[59,35,3])).
% 127.30/127.43 cnf(77,plain,
% 127.30/127.43 (~E(f5(f4(a1)),f3(a1,a2))),
% 127.30/127.43 inference(scs_inference,[],[38,59,35,3,2])).
% 127.30/127.43 cnf(78,plain,
% 127.30/127.43 (E(f3(a2,a2),f3(f3(a1,a1),f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[71,2])).
% 127.30/127.43 cnf(79,plain,
% 127.30/127.43 (P2(f4(f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[26,71,2,16])).
% 127.30/127.43 cnf(81,plain,
% 127.30/127.43 (E(f5(f4(f3(a1,a1))),f3(a1,a1))),
% 127.30/127.43 inference(scs_inference,[],[26,71,2,16,18])).
% 127.30/127.43 cnf(84,plain,
% 127.30/127.43 (E(f3(x841,a2),f3(x841,f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[25,26,71,2,16,18,7,5])).
% 127.30/127.43 cnf(85,plain,
% 127.30/127.43 (E(f6(x851,a2),f6(x851,f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[25,26,71,2,16,18,7,5,9])).
% 127.30/127.43 cnf(87,plain,
% 127.30/127.43 (E(f4(a2),f4(f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[25,26,71,2,16,18,7,5,9,8,6])).
% 127.30/127.43 cnf(88,plain,
% 127.30/127.43 (E(f3(a2,x881),f3(f3(a1,a1),x881))),
% 127.30/127.43 inference(scs_inference,[],[25,26,71,2,16,18,7,5,9,8,6,4])).
% 127.30/127.43 cnf(89,plain,
% 127.30/127.43 (E(x891,f4(f3(a2,a2)))+~E(x891,f6(f4(a2),f4(a2)))),
% 127.30/127.43 inference(scs_inference,[],[25,26,71,52,2,16,18,7,5,9,8,6,4,3])).
% 127.30/127.43 cnf(91,plain,
% 127.30/127.43 (E(f5(f4(f3(a1,a1))),a2)),
% 127.30/127.43 inference(scs_inference,[],[14,81,3])).
% 127.30/127.43 cnf(93,plain,
% 127.30/127.43 (P1(f5(f4(f3(a1,a1))))),
% 127.30/127.43 inference(scs_inference,[],[14,81,79,75,3,2,17])).
% 127.30/127.43 cnf(95,plain,
% 127.30/127.43 (P1(f3(f3(a2,a2),f3(a2,a2)))),
% 127.30/127.43 inference(scs_inference,[],[14,81,79,39,75,3,2,17,21])).
% 127.30/127.43 cnf(99,plain,
% 127.30/127.43 (P2(f4(a2))),
% 127.30/127.43 inference(scs_inference,[],[34,79,11])).
% 127.30/127.43 cnf(100,plain,
% 127.30/127.43 (~E(f5(f4(a1)),f3(a1,f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[34,77,79,35,11,3])).
% 127.30/127.43 cnf(102,plain,
% 127.30/127.43 (E(a1,f5(f4(a1)))),
% 127.30/127.43 inference(scs_inference,[],[27,34,77,79,35,11,3,2])).
% 127.30/127.43 cnf(103,plain,
% 127.30/127.43 (E(f4(f5(f4(a2))),f4(a2))),
% 127.30/127.43 inference(scs_inference,[],[27,34,77,79,35,11,3,2,19])).
% 127.30/127.43 cnf(110,plain,
% 127.30/127.43 (P2(f6(f4(a2),f4(a2)))),
% 127.30/127.43 inference(scs_inference,[],[99,20])).
% 127.30/127.43 cnf(114,plain,
% 127.30/127.43 (E(f6(f4(a1),f4(f3(a1,a1))),f4(a1))),
% 127.30/127.43 inference(scs_inference,[],[100,87,99,43,74,29,79,20,3,2,22])).
% 127.30/127.43 cnf(120,plain,
% 127.30/127.43 (P2(f4(f5(f4(a1))))),
% 127.30/127.43 inference(scs_inference,[],[48,85,32,3,2,37])).
% 127.30/127.43 cnf(123,plain,
% 127.30/127.43 (E(f5(f4(f3(a2,a2))),f3(a2,a2))),
% 127.30/127.43 inference(scs_inference,[],[48,85,60,32,39,3,2,37,16,18])).
% 127.30/127.43 cnf(126,plain,
% 127.30/127.43 (E(f6(f5(f4(a1)),x1261),f6(a1,x1261))),
% 127.30/127.43 inference(scs_inference,[],[27,48,85,60,32,39,3,2,37,16,18,7,8])).
% 127.30/127.43 cnf(127,plain,
% 127.30/127.43 (E(f3(x1271,f5(f4(a1))),f3(x1271,a1))),
% 127.30/127.43 inference(scs_inference,[],[27,48,85,60,32,39,3,2,37,16,18,7,8,5])).
% 127.30/127.43 cnf(128,plain,
% 127.30/127.43 (E(f3(f5(f4(a1)),x1281),f3(a1,x1281))),
% 127.30/127.43 inference(scs_inference,[],[27,48,85,60,32,39,3,2,37,16,18,7,8,5,4])).
% 127.30/127.43 cnf(130,plain,
% 127.30/127.43 (~P2(f4(f3(a2,a2)))+E(f6(f4(a2),f4(f3(a2,a2))),f4(a2))),
% 127.30/127.43 inference(scs_inference,[],[27,48,85,60,52,32,39,99,3,2,37,16,18,7,8,5,4,9,22])).
% 127.30/127.43 cnf(132,plain,
% 127.30/127.43 (~E(a1,f3(f5(f4(a1)),a2))),
% 127.30/127.43 inference(scs_inference,[],[128,59,3])).
% 127.30/127.43 cnf(134,plain,
% 127.30/127.43 (~E(f3(f5(f4(a1)),a2),a1)),
% 127.30/127.43 inference(scs_inference,[],[128,59,3,2])).
% 127.30/127.43 cnf(135,plain,
% 127.30/127.43 (P1(f5(f4(a1)))),
% 127.30/127.43 inference(scs_inference,[],[29,128,59,3,2,17])).
% 127.30/127.43 cnf(137,plain,
% 127.30/127.43 (P1(f3(a2,f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[57,36,10])).
% 127.30/127.43 cnf(147,plain,
% 127.30/127.43 (P2(f4(f3(a2,a2)))),
% 127.30/127.43 inference(scs_inference,[],[110,52,11])).
% 127.30/127.43 cnf(148,plain,
% 127.30/127.43 (~E(f3(f5(f4(a1)),f3(a1,a1)),a1)),
% 127.30/127.43 inference(scs_inference,[],[110,84,134,52,11,3])).
% 127.30/127.43 cnf(150,plain,
% 127.30/127.43 (~E(a1,f3(f5(f4(a1)),f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[110,84,134,52,11,3,2])).
% 127.30/127.43 cnf(151,plain,
% 127.30/127.43 (E(f6(f4(a2),f4(f3(a2,a2))),f4(a2))),
% 127.30/127.43 inference(scs_inference,[],[110,84,134,52,11,3,2,130])).
% 127.30/127.43 cnf(154,plain,
% 127.30/127.43 (~E(f3(f5(f4(a1)),f3(a1,a1)),f5(f4(a1)))),
% 127.30/127.43 inference(scs_inference,[],[27,148,3])).
% 127.30/127.43 cnf(155,plain,
% 127.30/127.43 (E(f4(a2),f4(f5(f4(a2))))),
% 127.30/127.43 inference(scs_inference,[],[27,103,148,3,2])).
% 127.30/127.43 cnf(156,plain,
% 127.30/127.43 (P2(f4(f3(a2,f3(a1,a1))))),
% 127.30/127.43 inference(scs_inference,[],[27,103,137,148,3,2,16])).
% 127.30/127.43 cnf(158,plain,
% 127.30/127.43 (E(f5(f4(a2)),a2)),
% 127.30/127.43 inference(scs_inference,[],[27,103,137,148,13,3,2,16,18])).
% 127.30/127.43 cnf(162,plain,
% 127.30/127.43 (E(f3(a1,x1621),f3(f5(f4(a1)),x1621))),
% 127.30/127.43 inference(scs_inference,[],[27,103,137,148,102,13,3,2,16,18,8,7,4])).
% 127.30/127.43 cnf(163,plain,
% 127.30/127.43 (E(f3(x1631,a1),f3(x1631,f5(f4(a1))))),
% 127.30/127.43 inference(scs_inference,[],[27,103,137,148,102,13,3,2,16,18,8,7,4,5])).
% 127.30/127.43 cnf(168,plain,
% 127.30/127.43 (~E(f5(f4(a1)),f3(f5(f4(a1)),f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[31,154,126,3,2])).
% 127.30/127.43 cnf(169,plain,
% 127.30/127.43 (P1(f5(f4(f3(a2,a2))))),
% 127.30/127.43 inference(scs_inference,[],[31,147,154,126,3,2,17])).
% 127.30/127.43 cnf(176,plain,
% 127.30/127.43 (P2(f4(f5(f4(a2))))),
% 127.30/127.43 inference(scs_inference,[],[155,99,11])).
% 127.30/127.43 cnf(181,plain,
% 127.30/127.43 (P1(f3(f5(f4(a1)),a1))),
% 127.30/127.43 inference(scs_inference,[],[162,26,10])).
% 127.30/127.43 cnf(184,plain,
% 127.30/127.43 (E(f3(a2,a1),f3(f3(a1,a1),f5(f4(a1))))),
% 127.30/127.43 inference(scs_inference,[],[156,88,162,163,26,10,11,3])).
% 127.30/127.43 cnf(200,plain,
% 127.30/127.43 (E(f4(a2),f6(f4(a2),f4(f3(a2,a2))))),
% 127.30/127.43 inference(scs_inference,[],[151,2])).
% 127.30/127.43 cnf(201,plain,
% 127.30/127.43 (P2(f4(f3(f3(a2,a2),f3(a2,a2))))),
% 127.30/127.43 inference(scs_inference,[],[151,95,2,16])).
% 127.30/127.43 cnf(203,plain,
% 127.30/127.43 (E(f3(f5(f4(a2)),x2031),f3(a2,x2031))),
% 127.30/127.43 inference(scs_inference,[],[151,158,95,2,16,4])).
% 127.30/127.43 cnf(207,plain,
% 127.30/127.43 (E(f3(x2071,f5(f4(a2))),f3(x2071,a2))),
% 127.30/127.43 inference(scs_inference,[],[151,158,95,2,16,4,8,7,9,5])).
% 127.30/127.43 cnf(209,plain,
% 127.30/127.43 (E(f5(f4(a2)),f3(a1,a1))),
% 127.30/127.43 inference(scs_inference,[],[151,158,95,25,2,16,4,8,7,9,5,10,3])).
% 127.30/127.43 cnf(215,plain,
% 127.30/127.43 (P1(f5(f6(f4(a2),f4(a2))))),
% 127.30/127.43 inference(scs_inference,[],[207,110,59,3,2,17])).
% 127.30/127.43 cnf(218,plain,
% 127.30/127.43 (E(f3(f5(f4(a2)),f3(a1,a1)),f3(a2,a2))),
% 127.30/127.43 inference(scs_inference,[],[35,203,3])).
% 127.30/127.43 cnf(221,plain,
% 127.30/127.43 (E(f4(a1),f6(f4(a1),f4(f3(a1,a1))))),
% 127.30/127.43 inference(scs_inference,[],[35,114,203,3,2])).
% 127.30/127.43 cnf(229,plain,
% 127.30/127.43 (E(f3(f5(f4(a2)),f3(a1,a1)),f3(f3(a1,a1),f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[78,218,3])).
% 127.30/127.43 cnf(233,plain,
% 127.30/127.43 (P1(f5(f4(a2)))),
% 127.30/127.43 inference(scs_inference,[],[99,17])).
% 127.30/127.43 cnf(235,plain,
% 127.30/127.43 (~E(f5(f6(f4(a2),f4(a2))),x2351)+P1(x2351)),
% 127.30/127.43 inference(scs_inference,[],[215,99,17,10])).
% 127.30/127.43 cnf(236,plain,
% 127.30/127.43 (E(f3(f3(a1,a1),f3(a1,a1)),f3(f5(f4(a2)),f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[215,229,99,17,10,2])).
% 127.30/127.43 cnf(238,plain,
% 127.30/127.43 (P2(f6(f4(a2),f4(f3(a2,a2))))),
% 127.30/127.43 inference(scs_inference,[],[200,99,11])).
% 127.30/127.43 cnf(239,plain,
% 127.30/127.43 (E(f3(a2,a2),f3(f5(f4(a2)),f3(a1,a1)))),
% 127.30/127.43 inference(scs_inference,[],[236,78,3])).
% 127.30/127.43 cnf(245,plain,
% 127.30/127.43 (E(f3(a2,a2),f3(f5(f4(a2)),a2))),
% 127.30/127.43 inference(scs_inference,[],[35,239,3])).
% 127.30/127.43 cnf(247,plain,
% 127.30/127.43 (P1(f3(f5(f4(a2)),a2))),
% 127.30/127.44 inference(scs_inference,[],[39,245,10])).
% 127.30/127.44 cnf(249,plain,
% 127.30/127.44 (P1(f3(f5(f4(a2)),f3(a1,a1)))),
% 127.30/127.44 inference(scs_inference,[],[247,84,10])).
% 127.30/127.44 cnf(259,plain,
% 127.30/127.44 (E(f3(a1,a1),f5(f4(a2)))),
% 127.30/127.44 inference(scs_inference,[],[209,2])).
% 127.30/127.44 cnf(260,plain,
% 127.30/127.44 (E(f3(f3(a1,a1),f5(f4(a1))),f3(a2,a1))),
% 127.30/127.44 inference(scs_inference,[],[36,209,127,2,3])).
% 127.30/127.44 cnf(264,plain,
% 127.30/127.44 (E(f6(f4(a1),f4(a1)),f4(a2))),
% 127.30/127.44 inference(scs_inference,[],[43,34,3])).
% 127.30/127.44 cnf(287,plain,
% 127.30/127.44 (~E(f4(f3(a2,a2)),x2871)+E(f4(f6(f4(a2),f4(a2))),f4(x2871))),
% 127.30/127.44 inference(scs_inference,[],[52,3,6])).
% 127.30/127.44 cnf(288,plain,
% 127.30/127.44 (~E(f4(f3(a2,a2)),x2881)+E(f6(f6(f4(a2),f4(a2)),x2882),f6(x2881,x2882))),
% 127.30/127.44 inference(scs_inference,[],[52,3,6,8])).
% 127.30/127.44 cnf(290,plain,
% 127.30/127.44 (~E(f4(f3(a2,a2)),x2901)+E(f5(f6(f4(a2),f4(a2))),f5(x2901))),
% 127.30/127.44 inference(scs_inference,[],[52,3,6,8,4,7])).
% 127.30/127.44 cnf(295,plain,
% 127.30/127.44 (E(f4(f6(f4(a2),f4(a2))),f4(f4(f3(a2,a2))))),
% 127.30/127.44 inference(equality_inference,[],[287])).
% 127.30/127.44 cnf(296,plain,
% 127.30/127.44 (E(f6(f6(f4(a2),f4(a2)),x2961),f6(f4(f3(a2,a2)),x2961))),
% 127.30/127.44 inference(equality_inference,[],[288])).
% 127.30/127.44 cnf(298,plain,
% 127.30/127.44 (E(f5(f6(f4(a2),f4(a2))),f5(f4(f3(a2,a2))))),
% 127.30/127.44 inference(equality_inference,[],[290])).
% 127.30/127.44 cnf(311,plain,
% 127.30/127.44 (E(f6(f4(a1),f4(a2)),f4(a1))),
% 127.30/127.44 inference(scs_inference,[],[264,29,99,22])).
% 127.30/127.44 cnf(314,plain,
% 127.30/127.44 (E(f3(a2,x3141),f3(f5(f4(a2)),x3141))),
% 127.30/127.44 inference(scs_inference,[],[264,259,29,99,25,22,3,4])).
% 127.30/127.44 cnf(316,plain,
% 127.30/127.44 (E(f3(x3161,a2),f3(x3161,f5(f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[264,259,29,99,25,22,3,4,8,5])).
% 127.30/127.44 cnf(319,plain,
% 127.30/127.44 (P1(f3(f3(a1,a1),f5(f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[316,60,10])).
% 127.30/127.44 cnf(324,plain,
% 127.30/127.44 (E(x3241,a2)+~E(x3241,f5(f4(f3(a1,a1))))),
% 127.30/127.44 inference(scs_inference,[],[91,3])).
% 127.30/127.44 cnf(349,plain,
% 127.30/127.44 (P1(f3(a2,f5(f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[319,36,10])).
% 127.30/127.44 cnf(360,plain,
% 127.30/127.44 (E(a2,f3(f5(f4(a1)),a1))),
% 127.30/127.44 inference(scs_inference,[],[81,162,25,2,3])).
% 127.30/127.44 cnf(370,plain,
% 127.30/127.44 (E(x3701,f4(a1))+~E(x3701,f6(f4(a1),f4(a2)))),
% 127.30/127.44 inference(scs_inference,[],[360,311,2,3])).
% 127.30/127.44 cnf(406,plain,
% 127.30/127.44 (E(f4(a1),f6(f4(a1),f4(a2)))),
% 127.30/127.44 inference(scs_inference,[],[311,2])).
% 127.30/127.44 cnf(408,plain,
% 127.30/127.44 (P2(f6(f4(a1),f4(a2)))),
% 127.30/127.44 inference(scs_inference,[],[406,37])).
% 127.30/127.44 cnf(409,plain,
% 127.30/127.44 (P1(f5(f6(f4(a1),f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[406,37,17])).
% 127.30/127.44 cnf(412,plain,
% 127.30/127.44 (E(f3(a2,a2),f3(f3(a1,a1),f5(f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[88,406,316,37,17,10,3])).
% 127.30/127.44 cnf(424,plain,
% 127.30/127.44 (E(f3(f3(a1,a1),f5(f4(a2))),f3(a2,a2))),
% 127.30/127.44 inference(scs_inference,[],[412,2])).
% 127.30/127.44 cnf(452,plain,
% 127.30/127.44 (E(f3(f5(f4(a1)),f3(a1,a1)),f3(a1,a2))),
% 127.30/127.44 inference(scs_inference,[],[128,35,3])).
% 127.30/127.44 cnf(455,plain,
% 127.30/127.44 (E(f3(a1,a2),f3(f5(f4(a1)),f3(a1,a1)))),
% 127.30/127.44 inference(scs_inference,[],[128,35,3,2])).
% 127.30/127.44 cnf(549,plain,
% 127.30/127.44 (~P1(f3(f5(f4(a1)),f3(a1,a1)))+P1(f3(a1,a2))),
% 127.30/127.44 inference(scs_inference,[],[452,10])).
% 127.30/127.44 cnf(550,plain,
% 127.30/127.44 (P1(f3(a1,a2))),
% 127.30/127.44 inference(scs_inference,[],[26,135,549,21])).
% 127.30/127.44 cnf(551,plain,
% 127.30/127.44 (P1(f3(f3(a1,a2),f3(a1,a2)))),
% 127.30/127.44 inference(scs_inference,[],[550,21])).
% 127.30/127.44 cnf(553,plain,
% 127.30/127.44 (P1(f3(f5(f4(a1)),f3(a1,a1)))),
% 127.30/127.44 inference(scs_inference,[],[455,550,21,10])).
% 127.30/127.44 cnf(554,plain,
% 127.30/127.44 (E(f5(f4(f3(a1,a2))),f3(a1,a2))),
% 127.30/127.44 inference(scs_inference,[],[455,550,21,10,18])).
% 127.30/127.44 cnf(556,plain,
% 127.30/127.44 (P2(f4(f3(a1,a2)))),
% 127.30/127.44 inference(scs_inference,[],[455,550,21,10,18,16])).
% 127.30/127.44 cnf(558,plain,
% 127.30/127.44 (~E(f4(f3(a1,a2)),x5581)+P2(x5581)),
% 127.30/127.44 inference(scs_inference,[],[455,550,21,10,18,16,11])).
% 127.30/127.44 cnf(588,plain,
% 127.30/127.44 (P2(f4(f3(f3(a1,a2),f3(a1,a2))))),
% 127.30/127.44 inference(scs_inference,[],[551,16])).
% 127.30/127.44 cnf(590,plain,
% 127.30/127.44 (P1(f5(f4(f3(a1,a2))))),
% 127.30/127.44 inference(scs_inference,[],[551,556,16,17])).
% 127.30/127.44 cnf(601,plain,
% 127.30/127.44 (~E(f4(f3(f3(a1,a2),f3(a1,a2))),x6011)+P2(x6011)),
% 127.30/127.44 inference(scs_inference,[],[588,11])).
% 127.30/127.44 cnf(605,plain,
% 127.30/127.44 (P1(f3(a1,f3(a1,a1)))),
% 127.30/127.44 inference(scs_inference,[],[553,128,10])).
% 127.30/127.44 cnf(607,plain,
% 127.30/127.44 (P2(f4(f3(a1,f3(a1,a1))))),
% 127.30/127.44 inference(scs_inference,[],[553,128,10,16])).
% 127.30/127.44 cnf(656,plain,
% 127.30/127.44 (P1(f3(f5(f4(a1)),a2))),
% 127.30/127.44 inference(scs_inference,[],[162,550,10])).
% 127.30/127.44 cnf(733,plain,
% 127.30/127.44 (~P1(f3(a2,a1))+P1(f3(f3(a1,a1),f5(f4(a1))))),
% 127.30/127.44 inference(scs_inference,[],[184,10])).
% 127.30/127.44 cnf(734,plain,
% 127.30/127.44 (P1(f3(f3(a1,a1),f5(f4(a1))))),
% 127.30/127.44 inference(scs_inference,[],[12,13,733,21])).
% 127.30/127.44 cnf(735,plain,
% 127.30/127.44 (P1(f3(a2,a1))),
% 127.30/127.44 inference(scs_inference,[],[734,260,10])).
% 127.30/127.44 cnf(736,plain,
% 127.30/127.44 (P1(f3(f3(a2,a1),f3(a2,a1)))),
% 127.30/127.44 inference(scs_inference,[],[734,260,10,21])).
% 127.30/127.44 cnf(738,plain,
% 127.30/127.44 (E(f5(f4(f3(a2,a1))),f3(a2,a1))),
% 127.30/127.44 inference(scs_inference,[],[734,260,10,21,18])).
% 127.30/127.44 cnf(740,plain,
% 127.30/127.44 (E(f3(a2,a1),f5(f4(f3(a2,a1))))),
% 127.30/127.44 inference(scs_inference,[],[734,260,10,21,18,2])).
% 127.30/127.44 cnf(741,plain,
% 127.30/127.44 (P2(f4(f3(a2,a1)))),
% 127.30/127.44 inference(scs_inference,[],[734,260,10,21,18,2,16])).
% 127.30/127.44 cnf(745,plain,
% 127.30/127.44 (P1(f5(f4(f3(a2,a1))))),
% 127.30/127.44 inference(scs_inference,[],[741,17])).
% 127.30/127.44 cnf(749,plain,
% 127.30/127.44 (P2(f4(f3(f3(a2,a1),f3(a2,a1))))),
% 127.30/127.44 inference(scs_inference,[],[736,16])).
% 127.30/127.44 cnf(765,plain,
% 127.30/127.44 (P1(f3(f5(f4(a2)),a1))),
% 127.30/127.44 inference(scs_inference,[],[735,314,10])).
% 127.30/127.44 cnf(828,plain,
% 127.30/127.44 (P1(f3(a2,f5(f4(a1))))),
% 127.30/127.44 inference(scs_inference,[],[36,734,10])).
% 127.30/127.44 cnf(859,plain,
% 127.30/127.44 (P1(f3(f3(a1,a1),a1))),
% 127.30/127.44 inference(scs_inference,[],[88,735,10])).
% 127.30/127.44 cnf(1280,plain,
% 127.30/127.44 (E(f4(f4(f3(a2,a2))),f4(f6(f4(a2),f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[738,238,295,6,7,17,8,9,2])).
% 127.30/127.44 cnf(1284,plain,
% 127.30/127.44 (P1(f3(f5(f4(a2)),f5(f4(a1))))),
% 127.30/127.44 inference(scs_inference,[],[738,103,765,828,238,200,295,314,6,7,17,8,9,2,21,3,10])).
% 127.30/127.44 cnf(1286,plain,
% 127.30/127.44 (E(f4(f5(f6(f4(a1),f4(a2)))),f6(f4(a1),f4(a2)))),
% 127.30/127.44 inference(scs_inference,[],[738,103,765,828,238,408,200,295,314,6,7,17,8,9,2,21,3,10,19])).
% 127.30/127.44 cnf(1288,plain,
% 127.30/127.44 (E(f5(f4(f3(f5(f4(a2)),f3(a1,a1)))),f3(f5(f4(a2)),f3(a1,a1)))),
% 127.30/127.44 inference(scs_inference,[],[738,103,765,828,249,238,408,200,295,314,6,7,17,8,9,2,21,3,10,19,18])).
% 127.30/127.44 cnf(1290,plain,
% 127.30/127.44 (E(f3(x12901,f5(f4(f3(a2,a1)))),f3(x12901,f3(a2,a1)))),
% 127.30/127.44 inference(scs_inference,[],[738,103,765,828,249,238,408,200,295,314,6,7,17,8,9,2,21,3,10,19,18,5])).
% 127.30/127.44 cnf(1293,plain,
% 127.30/127.44 (E(f3(f5(f4(f3(a2,a1))),x12931),f3(f3(a2,a1),x12931))),
% 127.30/127.44 inference(scs_inference,[],[738,103,765,828,249,238,408,200,295,314,6,7,17,8,9,2,21,3,10,19,18,5,16,4])).
% 127.30/127.44 cnf(1294,plain,
% 127.30/127.44 (E(f3(f5(f4(a1)),f5(f4(a1))),f5(f6(f4(a1),f4(a1))))),
% 127.30/127.44 inference(scs_inference,[],[738,103,765,828,249,238,408,200,29,295,314,6,7,17,8,9,2,21,3,10,19,18,5,16,4,23])).
% 127.30/127.44 cnf(1306,plain,
% 127.30/127.44 (E(f3(f5(f4(a2)),f5(f4(a2))),f5(f6(f4(a2),f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[1284,99,21,23])).
% 127.30/127.44 cnf(1308,plain,
% 127.30/127.44 (E(f6(f4(f3(a2,a2)),f4(f3(a2,a2))),f4(f3(f3(a2,a2),f3(a2,a2))))),
% 127.30/127.44 inference(scs_inference,[],[1284,39,99,21,23,24])).
% 127.30/127.44 cnf(1323,plain,
% 127.30/127.44 (P1(f3(f5(f4(a2)),f5(f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[1306,298,2,3,235])).
% 127.30/127.44 cnf(1330,plain,
% 127.30/127.44 (E(f5(f4(f3(a1,f3(a1,a1)))),f3(a1,f3(a1,a1)))),
% 127.30/127.44 inference(scs_inference,[],[1308,1323,605,120,296,3,16,17,18])).
% 127.30/127.44 cnf(1332,plain,
% 127.30/127.44 (E(f3(f5(f4(f3(a2,a2))),x13321),f3(f3(a2,a2),x13321))),
% 127.30/127.44 inference(scs_inference,[],[1308,123,1323,605,120,296,3,16,17,18,4])).
% 127.30/127.44 cnf(1334,plain,
% 127.30/127.44 (E(f4(f5(f4(f3(a1,a2)))),f4(f3(a1,a2)))),
% 127.30/127.44 inference(scs_inference,[],[1308,123,1323,605,120,556,296,3,16,17,18,4,9,19])).
% 127.30/127.44 cnf(1340,plain,
% 127.30/127.44 (E(f3(x13401,f5(f4(f3(a2,a2)))),f3(x13401,f3(a2,a2)))),
% 127.30/127.44 inference(scs_inference,[],[1308,1286,123,1323,605,120,556,296,3,16,17,18,4,9,19,6,7,370,8,5])).
% 127.30/127.44 cnf(1345,plain,
% 127.30/127.44 (P1(f3(f5(f4(f3(a2,a1))),f5(f4(f3(a2,a1)))))),
% 127.30/127.44 inference(scs_inference,[],[1308,745,201,147,102,132,3,22,2,21])).
% 127.30/127.44 cnf(1347,plain,
% 127.30/127.44 (E(f6(f4(f3(a1,a1)),f4(f3(a1,a1))),f4(f3(f3(a1,a1),f3(a1,a1))))),
% 127.30/127.44 inference(scs_inference,[],[1308,745,201,147,26,102,132,3,22,2,21,24])).
% 127.30/127.44 cnf(1349,plain,
% 127.30/127.44 (P2(f6(f4(f5(f4(a2))),f4(f5(f4(a2)))))),
% 127.30/127.44 inference(scs_inference,[],[1308,745,176,201,147,26,102,132,3,22,2,21,24,20])).
% 127.30/127.44 cnf(1354,plain,
% 127.30/127.44 (E(f6(f4(f3(a1,a2)),f4(f3(a1,a2))),f4(f3(f3(a1,a2),f3(a1,a2))))),
% 127.30/127.44 inference(scs_inference,[],[1347,550,2,24])).
% 127.30/127.44 cnf(1358,plain,
% 127.30/127.44 (P2(f6(f4(f5(f4(a1))),f4(f5(f4(a1)))))),
% 127.30/127.44 inference(scs_inference,[],[1347,349,120,550,2,24,21,20])).
% 127.30/127.44 cnf(1360,plain,
% 127.30/127.44 (P1(f3(f5(f4(f3(a2,a1))),f3(a2,a1)))),
% 127.30/127.44 inference(scs_inference,[],[1347,1345,349,120,550,1290,2,24,21,20,10])).
% 127.30/127.44 cnf(1368,plain,
% 127.30/127.44 (~E(a1,f5(f4(f3(a1,f3(a1,a1)))))),
% 127.30/127.44 inference(scs_inference,[],[1330,75,3])).
% 127.30/127.44 cnf(1372,plain,
% 127.30/127.44 (P2(f6(f4(f3(a1,a2)),f4(f3(a1,a2))))),
% 127.30/127.44 inference(scs_inference,[],[1354,1330,588,556,75,3,22,2,601])).
% 127.30/127.44 cnf(1374,plain,
% 127.30/127.44 (~E(f5(f4(a1)),f5(f4(f3(a1,f3(a1,a1)))))),
% 127.30/127.44 inference(scs_inference,[],[102,1368,2,3])).
% 127.30/127.44 cnf(1375,plain,
% 127.30/127.44 (P1(f5(f6(f4(f3(a1,a2)),f4(f3(a1,a2)))))),
% 127.30/127.44 inference(scs_inference,[],[1372,102,1368,2,3,17])).
% 127.30/127.44 cnf(1379,plain,
% 127.30/127.44 (E(f3(f5(f4(f3(a1,a2))),x13791),f3(f3(a1,a2),x13791))),
% 127.30/127.44 inference(scs_inference,[],[554,1372,233,102,1368,2,3,17,18,4])).
% 127.30/127.44 cnf(1380,plain,
% 127.30/127.44 (E(f4(f5(f6(f4(a2),f4(a2)))),f6(f4(a2),f4(a2)))),
% 127.30/127.44 inference(scs_inference,[],[554,1372,233,110,102,1368,2,3,17,18,4,19])).
% 127.30/127.44 cnf(1387,plain,
% 127.30/127.44 (P2(f4(f3(f5(f4(f3(a2,a1))),f3(a2,a1))))),
% 127.30/127.44 inference(scs_inference,[],[554,103,1372,1360,233,110,102,1368,2,3,17,18,4,19,6,7,9,8,5,16])).
% 127.30/127.44 cnf(1390,plain,
% 127.30/127.44 (~E(f4(a1),f4(f3(a1,f3(a1,a1))))),
% 127.30/127.44 inference(scs_inference,[],[1380,1374,89,7])).
% 127.30/127.44 cnf(1394,plain,
% 127.30/127.44 (~E(f4(f3(a1,f3(a1,a1))),f4(a1))),
% 127.30/127.44 inference(scs_inference,[],[48,1390,7,2])).
% 127.30/127.44 cnf(1409,plain,
% 127.30/127.44 (P1(f3(f5(f4(f3(a2,a2))),f5(f4(f3(a2,a2)))))),
% 127.30/127.44 inference(scs_inference,[],[1294,169,2,21])).
% 127.30/127.44 cnf(1413,plain,
% 127.30/127.44 (P1(f3(f3(a2,a1),f5(f4(f3(a2,a1)))))),
% 127.30/127.44 inference(scs_inference,[],[1294,169,1372,1345,1293,2,21,20,10])).
% 127.30/127.44 cnf(1415,plain,
% 127.30/127.44 (~E(f4(f3(a1,f3(a1,a1))),f4(f5(f4(a1))))),
% 127.30/127.44 inference(scs_inference,[],[1294,48,1394,169,1372,1345,1293,2,21,20,10,3])).
% 127.30/127.44 cnf(1427,plain,
% 127.30/127.44 (E(f5(f4(f3(f5(f4(a1)),f3(a1,a1)))),f3(f5(f4(a1)),f3(a1,a1)))),
% 127.30/127.44 inference(scs_inference,[],[1330,1375,1387,553,1415,162,2,3,17,16,18])).
% 127.30/127.44 cnf(1429,plain,
% 127.30/127.44 (E(f4(f5(f6(f4(a1),f4(a1)))),f6(f4(a1),f4(a1)))),
% 127.30/127.44 inference(scs_inference,[],[1330,1375,1387,553,41,1415,162,2,3,17,16,18,19])).
% 127.30/127.44 cnf(1432,plain,
% 127.30/127.44 (E(f6(f4(f5(f4(a2))),x14321),f6(f4(a2),x14321))),
% 127.30/127.44 inference(scs_inference,[],[1330,103,1375,1387,553,41,1415,162,2,3,17,16,18,19,4,8])).
% 127.30/127.44 cnf(1434,plain,
% 127.30/127.44 (E(f6(x14341,f4(f5(f4(a2)))),f6(x14341,f4(a2)))),
% 127.30/127.44 inference(scs_inference,[],[1330,103,43,1375,1387,553,41,1415,162,2,3,17,16,18,19,4,8,6,9])).
% 127.30/127.44 cnf(1439,plain,
% 127.30/127.44 (~E(f4(f3(a1,f3(a1,a1))),f6(f4(a1),f4(a2)))),
% 127.30/127.44 inference(scs_inference,[],[1394,370])).
% 127.30/127.44 cnf(1444,plain,
% 127.30/127.44 (~E(f4(a1),f4(f3(f5(f4(a1)),f3(a1,a1))))),
% 127.30/127.44 inference(scs_inference,[],[1427,168,1394,1432,370,2,3,89,7])).
% 127.30/127.44 cnf(1452,plain,
% 127.30/127.44 (~E(f4(f3(a1,f3(a1,a1))),f4(f5(f6(f4(a1),f4(a2)))))),
% 127.30/127.44 inference(scs_inference,[],[1286,43,1439,1434,370,7,2,3])).
% 127.30/127.44 cnf(1454,plain,
% 127.30/127.44 (~E(f3(a1,f3(a1,a1)),f5(f6(f4(a1),f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[1286,43,1439,1434,370,7,2,3,324,6])).
% 127.30/127.44 cnf(1459,plain,
% 127.30/127.44 (P2(f6(f4(a2),f4(f5(f4(a2)))))),
% 127.30/127.44 inference(scs_inference,[],[1429,81,43,1349,1432,6,2,3,11])).
% 127.30/127.44 cnf(1478,plain,
% 127.30/127.44 (P1(f3(f3(a2,a2),f5(f4(f3(a2,a2)))))),
% 127.30/127.44 inference(scs_inference,[],[81,1409,93,607,1452,1332,7,2,21,20,10])).
% 127.30/127.44 cnf(1485,plain,
% 127.30/127.44 (E(f5(f4(f3(f3(a1,a1),a1))),f3(f3(a1,a1),a1))),
% 127.30/127.44 inference(scs_inference,[],[1427,81,1413,1409,1459,93,150,859,607,1452,1332,7,2,21,20,10,3,16,17,18])).
% 127.30/127.44 cnf(1488,plain,
% 127.30/127.44 (E(f6(f4(f5(f4(a1))),x14881),f6(f4(a1),x14881))),
% 127.30/127.44 inference(scs_inference,[],[1427,48,81,1413,1409,1459,93,150,859,607,1452,1332,7,2,21,20,10,3,16,17,18,4,8])).
% 127.30/127.44 cnf(1490,plain,
% 127.30/127.44 (E(f6(x14901,f4(f5(f4(a1)))),f6(x14901,f4(a1)))),
% 127.30/127.44 inference(scs_inference,[],[1427,48,81,1413,1409,1459,93,150,859,607,1452,1332,7,2,21,20,10,3,16,17,18,4,8,5,9])).
% 127.30/127.44 cnf(1507,plain,
% 127.30/127.44 (~E(f3(f5(f4(a1)),f3(a1,a1)),f5(f6(f4(a1),f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[1485,48,1454,1488,162,370,6,2,3])).
% 127.30/127.44 cnf(1514,plain,
% 127.30/127.44 (~E(f4(f3(f5(f4(a1)),f3(a1,a1))),f4(a1))),
% 127.30/127.44 inference(scs_inference,[],[1444,2])).
% 127.30/127.44 cnf(1517,plain,
% 127.30/127.44 (~E(f4(f3(f5(f4(a1)),f3(a1,a1))),f6(f4(a1),f4(a2)))),
% 127.30/127.44 inference(scs_inference,[],[1330,1444,35,2,3,370])).
% 127.30/127.44 cnf(1523,plain,
% 127.30/127.44 (P2(f4(f5(f4(f3(a1,a2)))))),
% 127.30/127.44 inference(scs_inference,[],[1334,1286,1517,2,3,558])).
% 127.30/127.44 cnf(1533,plain,
% 127.30/127.44 (E(f5(f4(f3(a2,f3(a1,a1)))),f3(a2,f3(a1,a1)))),
% 127.30/127.44 inference(scs_inference,[],[48,1523,1478,1358,1514,1517,137,1490,2,3,11,16,17,18])).
% 127.30/127.44 cnf(1542,plain,
% 127.30/127.44 (P2(f6(f6(f4(a1),f4(a2)),f6(f4(a1),f4(a2))))),
% 127.30/127.44 inference(scs_inference,[],[43,48,1523,1478,1358,1514,181,1517,1280,137,408,1490,2,3,11,16,17,18,4,5,8,9,7,21,20])).
% 127.30/127.44 cnf(1556,plain,
% 127.30/127.44 (P1(f3(f5(f4(f3(a2,a2))),f3(a2,a2)))),
% 127.30/127.44 inference(scs_inference,[],[1533,1542,409,1409,1340,2,21,20,10])).
% 127.30/127.44 cnf(1577,plain,
% 127.30/127.44 (~E(f5(f6(f4(a1),f4(a2))),f3(f5(f4(a1)),f3(a1,a1)))),
% 127.30/127.44 inference(scs_inference,[],[1507,2])).
% 127.30/127.44 cnf(1583,plain,
% 127.30/127.44 (~E(f5(f6(f4(a1),f4(a2))),f5(f4(f3(f5(f4(a1)),f3(a1,a1)))))),
% 127.30/127.44 inference(scs_inference,[],[1288,1427,1577,2,3])).
% 127.30/127.44 cnf(1584,plain,
% 127.30/127.44 (E(f4(f3(a2,a1)),f4(f5(f4(f3(a2,a1)))))),
% 127.30/127.44 inference(scs_inference,[],[1288,1427,1577,740,2,3,6])).
% 127.30/127.44 cnf(1592,plain,
% 127.30/127.44 (E(f5(f4(f3(f3(a1,a1),a2))),f3(f3(a1,a1),a2))),
% 127.30/127.44 inference(scs_inference,[],[48,1556,221,60,1583,2,3,16,18])).
% 127.30/127.44 cnf(1603,plain,
% 127.30/127.44 (~E(f5(f4(a1)),f5(f4(f3(a1,a2))))),
% 127.30/127.44 inference(scs_inference,[],[1592,554,77,741,1584,2,11,3])).
% 127.30/127.44 cnf(1604,plain,
% 127.30/127.44 (~E(f4(a1),f4(f3(a1,a2)))),
% 127.30/127.44 inference(scs_inference,[],[1592,554,77,741,1584,2,11,3,7])).
% 127.30/127.44 cnf(1605,plain,
% 127.30/127.44 (P1(f3(f5(f4(f3(a1,a2))),f5(f4(f3(a1,a2)))))),
% 127.30/127.44 inference(scs_inference,[],[1592,554,590,77,741,1584,2,11,3,7,21])).
% 127.30/127.44 cnf(1617,plain,
% 127.30/127.44 (~E(f5(f4(f3(a1,a2))),f5(f4(a1)))),
% 127.30/127.44 inference(scs_inference,[],[424,1603,7,2])).
% 127.30/127.44 cnf(1624,plain,
% 127.30/127.44 (~E(f6(f4(a1),f4(a2)),f4(f3(a1,a2)))),
% 127.30/127.44 inference(scs_inference,[],[1605,656,424,749,406,1379,1603,1604,7,2,21,20,10,3])).
% 127.30/127.44 cnf(1648,plain,
% 127.30/127.44 ($false),
% 127.30/127.44 inference(scs_inference,[],[12,1380,1617,1624,13,7,2,24]),
% 127.30/127.44 ['proof']).
% 127.30/127.44 % SZS output end Proof
% 127.30/127.44 % Total time :126.810000s
%------------------------------------------------------------------------------