TSTP Solution File: ALG069+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG069+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 : n018.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 : Timeout 297.03s 297.11s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG069+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 04:44:16 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 297.03/297.11 %-------------------------------------------
% 297.03/297.11 % File :CSE---1.6
% 297.03/297.11 % Problem :theBenchmark
% 297.03/297.11 % Transform :cnf
% 297.03/297.11 % Format :tptp:raw
% 297.03/297.11 % Command :java -jar mcs_scs.jar %d %s
% 297.03/297.11
% 297.03/297.11 % Result :Theorem 296.330000s
% 297.03/297.11 % Output :CNFRefutation 296.330000s
% 297.03/297.11 %-------------------------------------------
% 297.03/297.12 %--------------------------------------------------------------------------
% 297.03/297.12 % File : ALG069+1 : TPTP v8.1.2. Released v2.7.0.
% 297.03/297.12 % Domain : General Algebra
% 297.03/297.12 % Problem : Loops 5: CPROPS-SORTED-DISCRIMINANT-PROBLEM-1
% 297.03/297.12 % Version : Especial.
% 297.03/297.12 % English :
% 297.03/297.12
% 297.03/297.12 % Refs : [Mei03] Meier (2003), Email to G.Sutcliffe
% 297.03/297.12 % : [CM+04] Colton et al. (2004), Automatic Generation of Classifi
% 297.03/297.12 % Source : [Mei03]
% 297.03/297.12 % Names :
% 297.03/297.12
% 297.03/297.12 % Status : Theorem
% 297.03/297.12 % Rating : 0.17 v7.5.0, 0.22 v7.4.0, 0.07 v7.3.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.29 v5.3.0, 0.33 v5.2.0, 0.14 v5.0.0, 0.26 v4.0.0, 0.25 v3.7.0, 0.15 v3.5.0, 0.11 v3.4.0, 0.05 v3.3.0, 0.07 v3.2.0, 0.11 v2.7.0
% 297.03/297.12 % Syntax : Number of formulae : 5 ( 0 unt; 0 def)
% 297.03/297.12 % Number of atoms : 26 ( 6 equ)
% 297.03/297.12 % Maximal formula atoms : 14 ( 5 avg)
% 297.03/297.12 % Number of connectives : 23 ( 2 ~; 0 |; 6 &)
% 297.03/297.12 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 297.03/297.12 % Maximal formula depth : 9 ( 6 avg)
% 297.03/297.12 % Maximal term depth : 3 ( 1 avg)
% 297.03/297.12 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 297.03/297.12 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 297.03/297.12 % Number of variables : 16 ( 14 !; 2 ?)
% 297.03/297.12 % SPC : FOF_THM_RFO_SEQ
% 297.03/297.12
% 297.03/297.12 % Comments :
% 297.03/297.12 %--------------------------------------------------------------------------
% 297.03/297.12 fof(ax1,axiom,
% 297.03/297.12 ! [U] :
% 297.03/297.12 ( sorti1(U)
% 297.03/297.12 => ! [V] :
% 297.03/297.12 ( sorti1(V)
% 297.03/297.12 => sorti1(op1(U,V)) ) ) ).
% 297.03/297.12
% 297.03/297.12 fof(ax2,axiom,
% 297.03/297.12 ! [U] :
% 297.03/297.12 ( sorti2(U)
% 297.03/297.12 => ! [V] :
% 297.03/297.12 ( sorti2(V)
% 297.03/297.12 => sorti2(op2(U,V)) ) ) ).
% 297.03/297.12
% 297.03/297.12 fof(ax3,axiom,
% 297.03/297.12 ! [U] :
% 297.03/297.12 ( sorti1(U)
% 297.03/297.12 => ? [V] :
% 297.03/297.12 ( sorti1(V)
% 297.03/297.12 & op1(V,V) = U ) ) ).
% 297.03/297.12
% 297.03/297.12 fof(ax4,axiom,
% 297.03/297.12 ~ ! [U] :
% 297.03/297.12 ( sorti2(U)
% 297.03/297.12 => ? [V] :
% 297.03/297.12 ( sorti2(V)
% 297.03/297.12 & op2(V,V) = U ) ) ).
% 297.03/297.12
% 297.03/297.12 fof(co1,conjecture,
% 297.03/297.12 ( ( ! [U] :
% 297.03/297.12 ( sorti1(U)
% 297.03/297.12 => sorti2(h(U)) )
% 297.03/297.12 & ! [V] :
% 297.03/297.12 ( sorti2(V)
% 297.03/297.12 => sorti1(j(V)) ) )
% 297.03/297.12 => ~ ( ! [W] :
% 297.03/297.12 ( sorti1(W)
% 297.03/297.12 => ! [X] :
% 297.03/297.12 ( sorti1(X)
% 297.03/297.12 => h(op1(W,X)) = op2(h(W),h(X)) ) )
% 297.03/297.12 & ! [Y] :
% 297.03/297.12 ( sorti2(Y)
% 297.03/297.12 => ! [Z] :
% 297.03/297.12 ( sorti2(Z)
% 297.03/297.12 => j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )
% 297.03/297.12 & ! [X1] :
% 297.03/297.12 ( sorti2(X1)
% 297.03/297.12 => h(j(X1)) = X1 )
% 297.03/297.12 & ! [X2] :
% 297.03/297.12 ( sorti1(X2)
% 297.03/297.12 => j(h(X2)) = X2 ) ) ) ).
% 297.03/297.12
% 297.03/297.12 %--------------------------------------------------------------------------
% 297.03/297.12 %-------------------------------------------
% 297.03/297.12 % Proof found
% 297.03/297.12 % SZS status Theorem for theBenchmark
% 297.03/297.12 % SZS output start Proof
% 297.08/297.13 %ClaNum:24(EqnAxiom:12)
% 297.08/297.13 %VarNum:39(SingletonVarNum:15)
% 297.08/297.13 %MaxLitNum:3
% 297.08/297.13 %MaxfuncDepth:2
% 297.08/297.13 %SharedTerms:2
% 297.08/297.13 %goalClause: 14 16 17 18 23 24
% 297.08/297.13 [13]P1(a1)
% 297.08/297.13 [14]~P1(x141)+P2(f3(x141))
% 297.08/297.13 [15]~P2(x151)+P2(f2(x151))
% 297.08/297.13 [16]~P2(x161)+P1(f4(x161))
% 297.08/297.13 [19]~P1(x191)+~E(f5(x191,x191),a1)
% 297.08/297.13 [17]~P1(x171)+E(f4(f3(x171)),x171)
% 297.08/297.13 [18]~P2(x181)+E(f3(f4(x181)),x181)
% 297.08/297.13 [20]~P2(x201)+E(f6(f2(x201),f2(x201)),x201)
% 297.08/297.13 [21]~P2(x212)+~P2(x211)+P2(f6(x211,x212))
% 297.08/297.13 [22]~P1(x222)+~P1(x221)+P1(f5(x221,x222))
% 297.08/297.13 [23]~P2(x232)+~P2(x231)+E(f5(f4(x231),f4(x232)),f4(f6(x231,x232)))
% 297.08/297.13 [24]~P1(x242)+~P1(x241)+E(f6(f3(x241),f3(x242)),f3(f5(x241,x242)))
% 297.08/297.13 %EqnAxiom
% 297.08/297.13 [1]E(x11,x11)
% 297.08/297.13 [2]E(x22,x21)+~E(x21,x22)
% 297.08/297.13 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 297.08/297.13 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 297.08/297.13 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 297.08/297.13 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 297.08/297.13 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 297.08/297.13 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 297.08/297.13 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 297.08/297.13 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 297.08/297.13 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 297.08/297.13 [12]~P2(x121)+P2(x122)+~E(x121,x122)
% 297.08/297.13
% 297.08/297.13 %-------------------------------------------
% 297.08/297.14 cnf(25,plain,
% 297.08/297.14 (E(f4(f3(a1)),a1)),
% 297.08/297.14 inference(scs_inference,[],[13,17])).
% 297.08/297.14 cnf(26,plain,
% 297.08/297.14 (P2(f3(a1))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14])).
% 297.08/297.14 cnf(27,plain,
% 297.08/297.14 (E(f6(x271,f4(f3(a1))),f6(x271,a1))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10])).
% 297.08/297.14 cnf(29,plain,
% 297.08/297.14 (E(f5(x291,f4(f3(a1))),f5(x291,a1))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8])).
% 297.08/297.14 cnf(30,plain,
% 297.08/297.14 (E(f5(f4(f3(a1)),x301),f5(a1,x301))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8,7])).
% 297.08/297.14 cnf(32,plain,
% 297.08/297.14 (E(f2(f4(f3(a1))),f2(a1))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8,7,6,5])).
% 297.08/297.14 cnf(33,plain,
% 297.08/297.14 (E(f3(f4(f3(a1))),f3(a1))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8,7,6,5,4])).
% 297.08/297.14 cnf(36,plain,
% 297.08/297.14 (~E(f3(a1),x361)+P2(x361)),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8,7,6,5,4,19,12])).
% 297.08/297.14 cnf(37,plain,
% 297.08/297.14 (~E(f5(a1,a1),f4(f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8,7,6,5,4,19,12,3])).
% 297.08/297.14 cnf(38,plain,
% 297.08/297.14 (P1(f5(a1,a1))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8,7,6,5,4,19,12,3,22])).
% 297.08/297.14 cnf(40,plain,
% 297.08/297.14 (P2(f6(f3(a1),f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8,7,6,5,4,19,12,3,22,21])).
% 297.08/297.14 cnf(42,plain,
% 297.08/297.14 (E(f6(f3(a1),f3(a1)),f3(f5(a1,a1)))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8,7,6,5,4,19,12,3,22,21,24])).
% 297.08/297.14 cnf(44,plain,
% 297.08/297.14 (E(a1,f4(f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[13,17,14,10,9,8,7,6,5,4,19,12,3,22,21,24,2])).
% 297.08/297.14 cnf(46,plain,
% 297.08/297.14 (P1(f4(f6(f3(a1),f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[40,16])).
% 297.08/297.14 cnf(50,plain,
% 297.08/297.14 (P1(f4(f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[13,40,44,16,15,11])).
% 297.08/297.14 cnf(51,plain,
% 297.08/297.14 (~E(f4(f3(a1)),f5(a1,a1))),
% 297.08/297.14 inference(scs_inference,[],[13,37,40,44,16,15,11,2])).
% 297.08/297.14 cnf(52,plain,
% 297.08/297.14 (P1(f5(f5(a1,a1),f5(a1,a1)))),
% 297.08/297.14 inference(scs_inference,[],[13,38,37,40,44,16,15,11,2,22])).
% 297.08/297.14 cnf(54,plain,
% 297.08/297.14 (P2(f3(f5(a1,a1)))),
% 297.08/297.14 inference(scs_inference,[],[13,42,38,37,40,44,16,15,11,2,22,12])).
% 297.08/297.14 cnf(55,plain,
% 297.08/297.14 (E(x551,f3(f5(a1,a1)))+~E(x551,f6(f3(a1),f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[13,42,38,37,40,44,16,15,11,2,22,12,3])).
% 297.08/297.14 cnf(57,plain,
% 297.08/297.14 (E(f3(a1),f3(f4(f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[33,2])).
% 297.08/297.14 cnf(58,plain,
% 297.08/297.14 (~E(a1,f5(a1,a1))),
% 297.08/297.14 inference(scs_inference,[],[25,33,51,2,3])).
% 297.08/297.14 cnf(60,plain,
% 297.08/297.14 (~E(f5(f5(a1,a1),f5(a1,a1)),x601)+P1(x601)),
% 297.08/297.14 inference(scs_inference,[],[25,52,33,51,2,3,36,11])).
% 297.08/297.14 cnf(66,plain,
% 297.08/297.14 (E(f4(f3(f5(a1,a1))),f5(a1,a1))),
% 297.08/297.14 inference(scs_inference,[],[27,38,2,17])).
% 297.08/297.14 cnf(70,plain,
% 297.08/297.14 (E(f5(a1,x701),f5(f4(f3(a1)),x701))),
% 297.08/297.14 inference(scs_inference,[],[27,52,38,44,2,17,14,7])).
% 297.08/297.14 cnf(72,plain,
% 297.08/297.14 (~E(f5(f5(a1,a1),f5(a1,a1)),a1)),
% 297.08/297.14 inference(scs_inference,[],[27,52,38,44,2,17,14,7,5,19])).
% 297.08/297.14 cnf(74,plain,
% 297.08/297.14 (E(f6(a1,x741),f6(f4(f3(a1)),x741))),
% 297.08/297.14 inference(scs_inference,[],[27,52,38,44,2,17,14,7,5,19,9])).
% 297.08/297.14 cnf(75,plain,
% 297.08/297.14 (E(f5(x751,a1),f5(x751,f4(f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[27,52,38,44,2,17,14,7,5,19,9,8])).
% 297.08/297.14 cnf(77,plain,
% 297.08/297.14 (~E(f3(f5(a1,a1)),x771)+E(f6(f3(a1),f3(a1)),x771)),
% 297.08/297.14 inference(scs_inference,[],[27,52,38,44,42,2,17,14,7,5,19,9,8,6,3])).
% 297.08/297.14 cnf(79,plain,
% 297.08/297.14 (~E(a1,f5(f5(a1,a1),f5(a1,a1)))),
% 297.08/297.14 inference(scs_inference,[],[72,2])).
% 297.08/297.14 cnf(80,plain,
% 297.08/297.14 (P1(f4(f3(f5(a1,a1))))),
% 297.08/297.14 inference(scs_inference,[],[54,72,2,16])).
% 297.08/297.14 cnf(82,plain,
% 297.08/297.14 (P2(f2(f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[26,54,72,2,16,15])).
% 297.08/297.14 cnf(85,plain,
% 297.08/297.14 (P1(f5(f4(f3(a1)),a1))),
% 297.08/297.14 inference(scs_inference,[],[70,38,11])).
% 297.08/297.14 cnf(88,plain,
% 297.08/297.14 (E(f5(a1,a1),f4(f3(f5(a1,a1))))),
% 297.08/297.14 inference(scs_inference,[],[70,58,66,38,11,3,2])).
% 297.08/297.14 cnf(94,plain,
% 297.08/297.14 (P2(f2(f2(f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[82,15])).
% 297.08/297.14 cnf(96,plain,
% 297.08/297.14 (P1(f4(f2(f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[82,15,16])).
% 297.08/297.14 cnf(99,plain,
% 297.08/297.14 (E(f3(f5(a1,a1)),f6(f3(a1),f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[42,2])).
% 297.08/297.14 cnf(102,plain,
% 297.08/297.14 (~P1(f5(x1021,f4(f3(a1))))+P1(f5(x1021,a1))),
% 297.08/297.14 inference(scs_inference,[],[29,11])).
% 297.08/297.14 cnf(103,plain,
% 297.08/297.14 (~E(f2(f2(f3(a1))),x1031)+P2(x1031)),
% 297.08/297.14 inference(scs_inference,[],[29,94,11,12])).
% 297.08/297.14 cnf(106,plain,
% 297.08/297.14 (P1(f5(a1,f4(f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[75,38,11])).
% 297.08/297.14 cnf(109,plain,
% 297.08/297.14 (P2(f2(f3(f5(a1,a1))))),
% 297.08/297.14 inference(scs_inference,[],[54,15])).
% 297.08/297.14 cnf(112,plain,
% 297.08/297.14 (~E(f5(f5(a1,a1),f5(a1,a1)),f4(f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[79,54,44,15,3,2])).
% 297.08/297.14 cnf(113,plain,
% 297.08/297.14 (P1(f5(f5(a1,f4(f3(a1))),a1))),
% 297.08/297.14 inference(scs_inference,[],[106,50,102,22])).
% 297.08/297.14 cnf(118,plain,
% 297.08/297.14 (~E(f2(f3(f5(a1,a1))),x1181)+P2(x1181)),
% 297.08/297.14 inference(scs_inference,[],[32,109,11,12])).
% 297.08/297.14 cnf(121,plain,
% 297.08/297.14 (~E(f4(f2(f3(a1))),x1211)+P1(x1211)),
% 297.08/297.14 inference(scs_inference,[],[96,11])).
% 297.08/297.14 cnf(134,plain,
% 297.08/297.14 (~E(f2(f3(a1)),x1341)+P2(x1341)),
% 297.08/297.14 inference(scs_inference,[],[82,12])).
% 297.08/297.14 cnf(225,plain,
% 297.08/297.14 (P2(f3(f5(f4(f6(f3(a1),f3(a1))),f4(f6(f3(a1),f3(a1))))))),
% 297.08/297.14 inference(scs_inference,[],[46,14,22])).
% 297.08/297.14 cnf(227,plain,
% 297.08/297.14 (P2(f3(f5(f4(f3(f5(a1,a1))),f4(f3(f5(a1,a1))))))),
% 297.08/297.14 inference(scs_inference,[],[80,14,22])).
% 297.08/297.14 cnf(231,plain,
% 297.08/297.14 (P2(f3(f5(f5(f4(f3(a1)),a1),f5(f4(f3(a1)),a1))))),
% 297.08/297.14 inference(scs_inference,[],[85,14,22])).
% 297.08/297.14 cnf(242,plain,
% 297.08/297.14 (P2(f3(f5(f4(f2(f3(a1))),f4(f2(f3(a1))))))),
% 297.08/297.14 inference(scs_inference,[],[96,14,22])).
% 297.08/297.14 cnf(243,plain,
% 297.08/297.14 (P2(f3(f5(f5(a1,f4(f3(a1))),f5(a1,f4(f3(a1))))))),
% 297.08/297.14 inference(scs_inference,[],[106,14,22])).
% 297.08/297.14 cnf(244,plain,
% 297.08/297.14 (E(f6(f2(f3(a1)),f2(f3(a1))),f3(a1))),
% 297.08/297.14 inference(scs_inference,[],[13,14,20])).
% 297.08/297.14 cnf(245,plain,
% 297.08/297.14 (P2(f3(f5(f4(f3(a1)),f4(f3(a1)))))),
% 297.08/297.14 inference(scs_inference,[],[50,14,22])).
% 297.08/297.14 cnf(247,plain,
% 297.08/297.14 (P2(f2(f3(f5(f5(a1,a1),f5(a1,a1)))))),
% 297.08/297.14 inference(scs_inference,[],[52,14,15])).
% 297.08/297.14 cnf(268,plain,
% 297.08/297.14 (E(f3(f4(f3(f5(a1,a1)))),f3(f5(a1,a1)))),
% 297.08/297.14 inference(scs_inference,[],[38,14,18])).
% 297.08/297.14 cnf(269,plain,
% 297.08/297.14 (E(f5(f4(f3(a1)),f4(f3(a1))),f4(f6(f3(a1),f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[13,14,23])).
% 297.08/297.14 cnf(278,plain,
% 297.08/297.14 (E(f3(f4(f2(f3(a1)))),f2(f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[26,15,18])).
% 297.08/297.14 cnf(279,plain,
% 297.08/297.14 (P2(f2(f6(f3(f5(a1,a1)),f3(f5(a1,a1)))))),
% 297.08/297.14 inference(scs_inference,[],[54,15,21])).
% 297.08/297.14 cnf(280,plain,
% 297.08/297.14 (E(f6(f2(f2(f3(a1))),f2(f2(f3(a1)))),f2(f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[26,15,20])).
% 297.08/297.14 cnf(287,plain,
% 297.08/297.14 (E(f5(f4(f2(f3(a1))),f4(f2(f3(a1)))),f4(f6(f2(f3(a1)),f2(f3(a1)))))),
% 297.08/297.14 inference(scs_inference,[],[26,15,23])).
% 297.08/297.14 cnf(294,plain,
% 297.08/297.14 (P2(f2(f6(f6(f3(a1),f3(a1)),f6(f3(a1),f3(a1)))))),
% 297.08/297.14 inference(scs_inference,[],[40,15,21])).
% 297.08/297.14 cnf(295,plain,
% 297.08/297.14 (P2(f6(f2(f3(a1)),f2(f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[26,15,21])).
% 297.08/297.14 cnf(298,plain,
% 297.08/297.14 (E(f4(f3(f4(f3(a1)))),f4(f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[26,16,17])).
% 297.08/297.14 cnf(305,plain,
% 297.08/297.14 (~E(f5(f4(f3(a1)),f4(f3(a1))),a1)),
% 297.08/297.14 inference(scs_inference,[],[26,16,19])).
% 297.08/297.14 cnf(312,plain,
% 297.08/297.14 (P1(f4(f6(f3(f5(a1,a1)),f3(f5(a1,a1)))))),
% 297.08/297.14 inference(scs_inference,[],[54,16,21])).
% 297.08/297.14 cnf(313,plain,
% 297.08/297.14 (P1(f5(f4(f3(a1)),f4(f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[26,16,22])).
% 297.08/297.14 cnf(324,plain,
% 297.08/297.14 (P1(f4(f6(f2(f3(a1)),f2(f3(a1)))))),
% 297.08/297.14 inference(scs_inference,[],[82,16,21])).
% 297.08/297.14 cnf(329,plain,
% 297.08/297.14 (E(f5(f6(f3(a1),f3(a1)),x3291),f5(f3(f5(a1,a1)),x3291))),
% 297.08/297.14 inference(scs_inference,[],[99,2,7])).
% 297.08/297.14 cnf(332,plain,
% 297.08/297.14 (E(f6(x3321,f6(f3(a1),f3(a1))),f6(x3321,f3(f5(a1,a1))))),
% 297.08/297.14 inference(scs_inference,[],[99,2,10])).
% 297.08/297.14 cnf(333,plain,
% 297.08/297.14 (E(f3(f3(f4(f3(a1)))),f3(f3(a1)))),
% 297.08/297.14 inference(scs_inference,[],[57,2,4])).
% 297.08/297.14 cnf(334,plain,
% 297.08/297.14 (E(f3(a1),f6(f2(f3(a1)),f2(f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[26,2,20])).
% 297.08/297.14 cnf(354,plain,
% 297.08/297.14 (E(f5(x3541,f6(f3(a1),f3(a1))),f5(x3541,f3(f5(a1,a1))))),
% 297.08/297.14 inference(scs_inference,[],[99,2,8])).
% 297.08/297.14 cnf(358,plain,
% 297.08/297.14 (E(f3(f3(f5(a1,a1))),f3(f6(f3(a1),f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[42,2,4])).
% 297.08/297.14 cnf(359,plain,
% 297.08/297.14 (E(f3(f5(a1,a1)),f3(f4(f3(f5(a1,a1)))))),
% 297.08/297.14 inference(scs_inference,[],[54,2,18])).
% 297.08/297.14 cnf(362,plain,
% 297.08/297.14 (~E(a1,f5(f4(f3(a1)),f4(f3(a1))))),
% 297.08/297.14 inference(scs_inference,[],[50,2,19])).
% 297.08/297.14 cnf(366,plain,
% 297.08/297.14 (E(f6(f3(f4(f3(a1))),x3661),f6(f3(a1),x3661))),
% 297.08/297.14 inference(scs_inference,[],[57,2,9])).
% 297.08/297.14 cnf(374,plain,
% 297.08/297.14 (E(f5(f5(f4(f3(a1)),x3741),x3742),f5(f5(a1,x3741),x3742))),
% 297.08/297.14 inference(scs_inference,[],[70,2,7])).
% 297.08/297.14 cnf(376,plain,
% 297.08/297.14 (E(f6(f3(a1),x3761),f6(f3(f4(f3(a1))),x3761))),
% 297.08/297.14 inference(scs_inference,[],[33,2,9])).
% 297.08/297.14 cnf(378,plain,
% 297.08/297.14 (E(f3(f5(x3781,f4(f3(a1)))),f3(f5(x3781,a1)))),
% 297.08/297.14 inference(scs_inference,[],[75,2,4])).
% 297.08/297.14 cnf(380,plain,
% 297.08/297.15 (E(f4(f6(f3(a1),f3(a1))),f4(f3(f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[99,2,6])).
% 297.08/297.15 cnf(382,plain,
% 297.08/297.15 (E(f5(f5(x3821,a1),x3822),f5(f5(x3821,f4(f3(a1))),x3822))),
% 297.08/297.15 inference(scs_inference,[],[29,2,7])).
% 297.08/297.15 cnf(389,plain,
% 297.08/297.15 (E(f3(f6(f3(a1),f3(a1))),f3(f3(f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[99,2,4])).
% 297.08/297.15 cnf(394,plain,
% 297.08/297.15 (E(f2(f3(a1)),f3(f4(f2(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[82,2,18])).
% 297.08/297.15 cnf(395,plain,
% 297.08/297.15 (E(f3(f5(a1,a1)),f6(f2(f3(f5(a1,a1))),f2(f3(f5(a1,a1)))))),
% 297.08/297.15 inference(scs_inference,[],[54,2,20])).
% 297.08/297.15 cnf(397,plain,
% 297.08/297.15 (E(f6(f3(a1),f3(a1)),f6(f2(f6(f3(a1),f3(a1))),f2(f6(f3(a1),f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[40,2,20])).
% 297.08/297.15 cnf(497,plain,
% 297.08/297.15 (E(f3(f4(f6(f3(a1),f3(a1)))),f6(f3(a1),f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[26,18,21])).
% 297.08/297.15 cnf(504,plain,
% 297.08/297.15 (E(f3(f4(f6(f3(a1),f3(a1)))),f3(f5(a1,a1)))),
% 297.08/297.15 inference(scs_inference,[],[40,18,55])).
% 297.08/297.15 cnf(512,plain,
% 297.08/297.15 (E(f6(x5121,f3(f4(f3(a1)))),f6(x5121,f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[26,18,10])).
% 297.08/297.15 cnf(683,plain,
% 297.08/297.15 (~E(f2(f3(a1)),x6831)+P2(f6(f3(f5(a1,a1)),x6831))),
% 297.08/297.15 inference(scs_inference,[],[54,134,21])).
% 297.08/297.15 cnf(684,plain,
% 297.08/297.15 (P2(f6(f3(f5(a1,a1)),f2(f3(a1))))),
% 297.08/297.15 inference(equality_inference,[],[683])).
% 297.08/297.15 cnf(687,plain,
% 297.08/297.15 (~E(f2(f3(a1)),x6871)+P2(f6(f6(f3(a1),f3(a1)),x6871))),
% 297.08/297.15 inference(scs_inference,[],[40,134,21])).
% 297.08/297.15 cnf(688,plain,
% 297.08/297.15 (P2(f6(f6(f3(a1),f3(a1)),f2(f3(a1))))),
% 297.08/297.15 inference(equality_inference,[],[687])).
% 297.08/297.15 cnf(691,plain,
% 297.08/297.15 (~E(f2(f3(a1)),x6911)+P2(f6(f3(a1),x6911))),
% 297.08/297.15 inference(scs_inference,[],[26,134,21])).
% 297.08/297.15 cnf(692,plain,
% 297.08/297.15 (P2(f6(f3(a1),f2(f3(a1))))),
% 297.08/297.15 inference(equality_inference,[],[691])).
% 297.08/297.15 cnf(695,plain,
% 297.08/297.15 (~E(f2(f3(a1)),x6951)+P2(f6(f6(f3(a1),f2(f3(a1))),x6951))),
% 297.08/297.15 inference(scs_inference,[],[692,134,21])).
% 297.08/297.15 cnf(696,plain,
% 297.08/297.15 (P2(f6(f6(f3(a1),f2(f3(a1))),f2(f3(a1))))),
% 297.08/297.15 inference(equality_inference,[],[695])).
% 297.08/297.15 cnf(701,plain,
% 297.08/297.15 (~E(f2(f3(a1)),x7011)+P2(f6(x7011,f6(f3(a1),f2(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[692,134,21])).
% 297.08/297.15 cnf(702,plain,
% 297.08/297.15 (P2(f6(f2(f3(a1)),f6(f3(a1),f2(f3(a1)))))),
% 297.08/297.15 inference(equality_inference,[],[701])).
% 297.08/297.15 cnf(813,plain,
% 297.08/297.15 (E(f6(f3(a1),f3(a1)),f3(f5(a1,f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[75,4,77])).
% 297.08/297.15 cnf(827,plain,
% 297.08/297.15 (E(f6(f3(a1),f3(a1)),f3(f5(f4(f3(a1)),a1)))),
% 297.08/297.15 inference(scs_inference,[],[70,4,77])).
% 297.08/297.15 cnf(835,plain,
% 297.08/297.15 (E(f6(f3(a1),f3(a1)),f3(f4(f3(f5(a1,a1)))))),
% 297.08/297.15 inference(scs_inference,[],[88,4,77])).
% 297.08/297.15 cnf(868,plain,
% 297.08/297.15 (E(f3(f5(x8681,f5(f4(f3(a1)),x8682))),f3(f5(x8681,f5(a1,x8682))))),
% 297.08/297.15 inference(scs_inference,[],[30,4,8])).
% 297.08/297.15 cnf(905,plain,
% 297.08/297.15 (E(f2(f5(a1,a1)),f2(f4(f3(f5(a1,a1)))))),
% 297.08/297.15 inference(scs_inference,[],[66,5,2])).
% 297.08/297.15 cnf(924,plain,
% 297.08/297.15 (E(f2(f3(f5(a1,a1))),f2(f6(f3(a1),f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[42,5,2])).
% 297.08/297.15 cnf(927,plain,
% 297.08/297.15 (E(f2(f4(f3(f5(a1,a1)))),f2(f4(f6(f3(a1),f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[99,5,6])).
% 297.08/297.15 cnf(937,plain,
% 297.08/297.15 (E(f2(f6(f2(f3(a1)),f2(f3(a1)))),f2(f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[26,5,20])).
% 297.08/297.15 cnf(946,plain,
% 297.08/297.15 (E(f6(x9461,f2(f6(f3(a1),f3(a1)))),f6(x9461,f2(f3(f5(a1,a1)))))),
% 297.08/297.15 inference(scs_inference,[],[42,5,10])).
% 297.08/297.15 cnf(964,plain,
% 297.08/297.15 (E(f2(f3(a1)),f2(f3(f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[33,5,2])).
% 297.08/297.15 cnf(967,plain,
% 297.08/297.15 (E(f2(f6(f3(a1),f3(a1))),f2(f3(f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[99,5,2])).
% 297.08/297.15 cnf(1006,plain,
% 297.08/297.15 (E(f6(f2(f3(f5(a1,a1))),x10061),f6(f2(f6(f3(a1),f3(a1))),x10061))),
% 297.08/297.15 inference(scs_inference,[],[99,5,9])).
% 297.08/297.15 cnf(1041,plain,
% 297.08/297.15 (E(f2(f6(a1,f4(f3(a1)))),f2(f6(f4(f3(a1)),a1)))),
% 297.08/297.15 inference(scs_inference,[],[74,27,5,3])).
% 297.08/297.15 cnf(1083,plain,
% 297.08/297.15 (E(f2(f6(f6(f3(a1),f3(a1)),x10831)),f2(f6(f3(f5(a1,a1)),x10831)))),
% 297.08/297.15 inference(scs_inference,[],[42,5,9])).
% 297.08/297.15 cnf(1109,plain,
% 297.08/297.15 (E(f4(f3(f5(a1,a1))),f4(f6(f3(a1),f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[42,6,2])).
% 297.08/297.15 cnf(1133,plain,
% 297.08/297.15 (E(f4(f5(x11331,a1)),f4(f5(x11331,f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[29,6,2])).
% 297.08/297.15 cnf(1143,plain,
% 297.08/297.15 (E(f5(x11431,f4(f6(f3(a1),f3(a1)))),f5(x11431,f4(f3(f5(a1,a1)))))),
% 297.08/297.15 inference(scs_inference,[],[42,6,8])).
% 297.08/297.15 cnf(1146,plain,
% 297.08/297.15 (E(f4(f6(f2(f3(a1)),f2(f3(a1)))),f4(f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[26,6,20])).
% 297.08/297.15 cnf(1150,plain,
% 297.08/297.15 (E(f4(f5(a1,x11501)),f4(f5(f4(f3(a1)),x11501)))),
% 297.08/297.15 inference(scs_inference,[],[30,6,2])).
% 297.08/297.15 cnf(1225,plain,
% 297.08/297.15 (~E(f4(f5(a1,a1)),x12251)+E(f4(f4(f3(f5(a1,a1)))),x12251)),
% 297.08/297.15 inference(scs_inference,[],[66,6,3])).
% 297.08/297.15 cnf(1243,plain,
% 297.08/297.15 (E(f4(f6(f3(f5(a1,a1)),x12431)),f4(f6(f6(f3(a1),f3(a1)),x12431)))),
% 297.08/297.15 inference(scs_inference,[],[99,6,9])).
% 297.08/297.15 cnf(1246,plain,
% 297.08/297.15 (E(f4(f3(f4(f3(a1)))),a1)),
% 297.08/297.15 inference(scs_inference,[],[33,25,6,3])).
% 297.08/297.15 cnf(1260,plain,
% 297.08/297.15 (~E(f5(f5(a1,a1),f5(a1,a1)),f4(f3(f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[33,112,6,3])).
% 297.08/297.15 cnf(1268,plain,
% 297.08/297.15 (P2(x12681)+~E(x12681,f2(f2(f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[103,2])).
% 297.08/297.15 cnf(1345,plain,
% 297.08/297.15 (P1(x13451)+~E(x13451,f4(f2(f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[121,2])).
% 297.08/297.15 cnf(1350,plain,
% 297.08/297.15 (~E(f4(f2(f3(a1))),x13501)+~E(f5(x13501,x13501),a1)),
% 297.08/297.15 inference(scs_inference,[],[121,19])).
% 297.08/297.15 cnf(1351,plain,
% 297.08/297.15 (~E(x13511,f4(f2(f3(a1))))+~E(f5(x13511,x13511),a1)),
% 297.08/297.15 inference(scs_inference,[],[1350,2])).
% 297.08/297.15 cnf(1352,plain,
% 297.08/297.15 (~E(x13521,f2(f3(a1)))+~E(f5(f4(x13521),f4(x13521)),a1)),
% 297.08/297.15 inference(scs_inference,[],[1351,6])).
% 297.08/297.15 cnf(1353,plain,
% 297.08/297.15 (~E(f5(f4(f2(f3(f4(f3(a1))))),f4(f2(f3(f4(f3(a1)))))),a1)),
% 297.08/297.15 inference(scs_inference,[],[33,1352,5])).
% 297.08/297.15 cnf(1374,plain,
% 297.08/297.15 (~E(f4(f2(f3(a1))),x13741)+P1(f5(x13741,a1))),
% 297.08/297.15 inference(scs_inference,[],[13,121,22])).
% 297.08/297.15 cnf(1375,plain,
% 297.08/297.15 (P1(f5(f4(f2(f3(a1))),a1))),
% 297.08/297.15 inference(equality_inference,[],[1374])).
% 297.08/297.15 cnf(1394,plain,
% 297.08/297.15 (~E(f4(f2(f3(a1))),x13941)+P1(f5(x13941,f5(f5(a1,a1),f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[52,121,22])).
% 297.08/297.15 cnf(1395,plain,
% 297.08/297.15 (P1(f5(f4(f2(f3(a1))),f5(f5(a1,a1),f5(a1,a1))))),
% 297.08/297.15 inference(equality_inference,[],[1394])).
% 297.08/297.15 cnf(1398,plain,
% 297.08/297.15 (~E(f4(f2(f3(a1))),x13981)+P1(f5(x13981,f5(a1,a1)))),
% 297.08/297.15 inference(scs_inference,[],[38,121,22])).
% 297.08/297.15 cnf(1399,plain,
% 297.08/297.15 (P1(f5(f4(f2(f3(a1))),f5(a1,a1)))),
% 297.08/297.15 inference(equality_inference,[],[1398])).
% 297.08/297.15 cnf(1991,plain,
% 297.08/297.15 (P2(f2(x19911))+~E(x19911,f2(f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[1268,5])).
% 297.08/297.15 cnf(2032,plain,
% 297.08/297.15 (~E(f6(f3(a1),f2(f3(a1))),x20321)+P2(x20321)),
% 297.08/297.15 inference(scs_inference,[],[692,12])).
% 297.08/297.15 cnf(2054,plain,
% 297.08/297.15 (P1(f4(x20541))+~E(x20541,f2(f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[1345,6])).
% 297.08/297.15 cnf(2088,plain,
% 297.08/297.15 (~E(x20881,f4(f2(f3(a1))))+P1(f5(f4(f3(a1)),x20881))),
% 297.08/297.15 inference(scs_inference,[],[50,1345,22])).
% 297.08/297.15 cnf(2089,plain,
% 297.08/297.15 (P1(f5(f4(f3(a1)),f4(f2(f3(a1)))))),
% 297.08/297.15 inference(equality_inference,[],[2088])).
% 297.08/297.15 cnf(2212,plain,
% 297.08/297.15 (~E(f2(f3(f5(a1,a1))),x22121)+P2(f2(x22121))),
% 297.08/297.15 inference(scs_inference,[],[118,15])).
% 297.08/297.15 cnf(2252,plain,
% 297.08/297.15 (~E(f2(f3(f5(a1,a1))),x22521)+P2(f6(f2(f3(f5(a1,a1))),x22521))),
% 297.08/297.15 inference(scs_inference,[],[109,118,21])).
% 297.08/297.15 cnf(2258,plain,
% 297.08/297.15 (P1(f5(f5(f5(a1,a1),f5(a1,a1)),f5(f5(a1,a1),f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[52,54,21,22])).
% 297.08/297.15 cnf(2261,plain,
% 297.08/297.15 (~E(f5(f5(f5(a1,a1),f5(a1,a1)),f5(f5(a1,a1),f5(a1,a1))),a1)),
% 297.08/297.15 inference(scs_inference,[],[66,52,54,51,21,22,3,19])).
% 297.08/297.15 cnf(2263,plain,
% 297.08/297.15 (~E(f3(a1),f3(f5(a1,a1)))),
% 297.08/297.15 inference(scs_inference,[],[66,52,54,51,21,22,3,19,6])).
% 297.08/297.15 cnf(2264,plain,
% 297.08/297.15 (~E(f4(f3(f5(a1,a1))),f4(f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[66,52,54,51,21,22,3,19,6,2])).
% 297.08/297.15 cnf(2269,plain,
% 297.08/297.15 (~E(f3(a1),f6(f3(a1),f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[2263,55])).
% 297.08/297.15 cnf(2270,plain,
% 297.08/297.15 (P1(f5(f5(a1,f4(f3(a1))),f5(a1,a1)))),
% 297.08/297.15 inference(scs_inference,[],[382,2263,55,60])).
% 297.08/297.15 cnf(2276,plain,
% 297.08/297.15 (P2(f6(f2(f3(f5(a1,a1))),f2(f6(f3(a1),f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[924,382,376,394,2263,55,60,691,2032,2252])).
% 297.08/297.15 cnf(2279,plain,
% 297.08/297.15 (E(f6(f2(f6(f3(a1),f3(a1))),f2(f6(f3(a1),f3(a1)))),f6(f3(a1),f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[40,924,395,382,376,394,2263,55,60,691,2032,2252,77,20])).
% 297.08/297.15 cnf(2282,plain,
% 297.08/297.15 (E(f4(f3(f5(f5(a1,a1),f5(a1,a1)))),f5(f5(a1,a1),f5(a1,a1)))),
% 297.08/297.15 inference(scs_inference,[],[66,52,40,924,395,382,376,394,2263,55,60,691,2032,2252,77,20,10,17])).
% 297.08/297.15 cnf(2289,plain,
% 297.08/297.15 (E(f6(f3(f5(a1,a1)),f3(f5(a1,a1))),f3(f5(f5(a1,a1),f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[66,38,52,40,333,380,389,924,395,382,376,394,2263,55,60,691,2032,2252,77,20,10,17,7,5,8,6,2,24])).
% 297.08/297.15 cnf(2291,plain,
% 297.08/297.15 (P1(f4(f6(f6(f3(a1),f3(a1)),f3(f5(a1,a1)))))),
% 297.08/297.15 inference(scs_inference,[],[66,312,38,52,40,333,380,389,924,1243,395,382,376,394,2263,55,60,691,2032,2252,77,20,10,17,7,5,8,6,2,24,11])).
% 297.08/297.15 cnf(2302,plain,
% 297.08/297.15 (P2(f2(f2(f6(f3(a1),f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[269,66,312,38,52,40,333,305,380,389,924,964,1243,937,395,382,376,394,2263,55,60,691,2032,2252,77,20,10,17,7,5,8,6,2,24,11,3,683,687,701,1991,2054,2212])).
% 297.08/297.15 cnf(2304,plain,
% 297.08/297.15 (E(f4(f4(f3(f5(a1,a1)))),f4(f5(a1,f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[269,66,312,38,52,40,333,305,380,389,924,964,1243,937,395,382,376,394,1133,2263,55,60,691,2032,2252,77,20,10,17,7,5,8,6,2,24,11,3,683,687,701,1991,2054,2212,1225])).
% 297.08/297.15 cnf(2309,plain,
% 297.08/297.15 (E(f6(f6(f3(a1),f3(a1)),x23091),f6(f3(f5(a1,a1)),x23091))),
% 297.08/297.15 inference(scs_inference,[],[269,42,66,312,38,52,40,333,305,358,380,389,924,964,1243,937,395,382,376,394,1133,2263,55,60,691,2032,2252,77,20,10,17,7,5,8,6,2,24,11,3,683,687,701,1991,2054,2212,1225,4,14,9])).
% 297.08/297.15 cnf(2314,plain,
% 297.08/297.15 (P1(f5(f5(f4(f3(a1)),f4(f3(a1))),f5(f4(f3(a1)),f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[269,42,66,245,312,313,38,52,40,333,305,358,380,389,924,964,1243,937,395,382,376,394,1133,2263,55,60,691,2032,2252,77,20,10,17,7,5,8,6,2,24,11,3,683,687,701,1991,2054,2212,1225,4,14,9,16,15,22])).
% 297.08/297.15 cnf(2361,plain,
% 297.08/297.15 (E(f6(f2(f6(f3(a1),f3(a1))),f2(f6(f3(a1),f3(a1)))),f3(f5(a1,a1)))),
% 297.08/297.15 inference(scs_inference,[],[2279,55])).
% 297.08/297.15 cnf(2364,plain,
% 297.08/297.15 (E(f3(f4(f2(f3(a1)))),f2(f3(f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[278,2269,2264,2279,964,55,6,2,3])).
% 297.08/297.15 cnf(2366,plain,
% 297.08/297.15 (E(f5(f5(a1,a1),f5(a1,a1)),f4(f3(f5(f5(a1,a1),f5(a1,a1)))))),
% 297.08/297.15 inference(scs_inference,[],[2282,1109,6,2])).
% 297.08/297.15 cnf(2368,plain,
% 297.08/297.15 (E(f6(f3(f4(f3(a1))),f3(a1)),f3(f5(a1,a1)))),
% 297.08/297.15 inference(scs_inference,[],[268,2282,1109,366,2263,6,2,3,55])).
% 297.08/297.15 cnf(2371,plain,
% 297.08/297.15 (~E(f6(f2(f3(a1)),f2(f3(a1))),f6(f3(a1),f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[2269,2261,334,2,3])).
% 297.08/297.15 cnf(2372,plain,
% 297.08/297.15 (~E(f5(f5(f5(a1,f4(f3(a1))),f5(a1,a1)),f5(f5(a1,f4(f3(a1))),f5(a1,a1))),a1)),
% 297.08/297.15 inference(scs_inference,[],[2270,2269,2261,334,2,3,19])).
% 297.08/297.15 cnf(2375,plain,
% 297.08/297.15 (E(f3(f5(f5(a1,a1),f5(a1,a1))),f6(f3(f5(a1,a1)),f3(f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[2289,2])).
% 297.08/297.15 cnf(2380,plain,
% 297.08/297.15 (P2(f2(f6(f3(f5(a1,a1)),f6(f3(a1),f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[2289,294,2258,684,1083,2,21,22,12])).
% 297.08/297.15 cnf(2398,plain,
% 297.08/297.15 (E(f5(x23981,f5(f6(f3(a1),f3(a1)),x23982)),f5(x23981,f5(f3(f5(a1,a1)),x23982)))),
% 297.08/297.15 inference(scs_inference,[],[2289,279,294,2258,324,684,397,1083,946,329,354,1150,394,2,21,22,12,3,701,9,16,14,5,1225,15,4,10,8])).
% 297.08/297.15 cnf(2406,plain,
% 297.08/297.15 (~E(f3(f5(a1,a1)),f3(f4(f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[298,2314,2371,374,2264,2,11,3,77,6])).
% 297.08/297.15 cnf(2407,plain,
% 297.08/297.15 (P2(f6(f6(f2(f3(a1)),f2(f3(a1))),f6(f2(f3(a1)),f2(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[298,2314,295,2371,374,2264,2,11,3,77,6,21])).
% 297.08/297.15 cnf(2420,plain,
% 297.08/297.15 (E(f6(f3(a1),f3(f4(f3(a1)))),f3(f5(a1,a1)))),
% 297.08/297.15 inference(scs_inference,[],[362,1041,2368,512,44,6,2,3,55])).
% 297.08/297.15 cnf(2449,plain,
% 297.08/297.15 (~E(f3(f4(f3(a1))),f6(f3(a1),f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[2276,2270,688,359,2406,1006,334,6,2,22,21,12,3,55])).
% 297.08/297.15 cnf(2455,plain,
% 297.08/297.15 (E(f3(f5(a1,f4(f3(a1)))),f6(f3(a1),f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[813,2])).
% 297.08/297.15 cnf(2469,plain,
% 297.08/297.15 (~E(f4(f3(a1)),f4(f6(f3(a1),f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[497,2449,1399,2,3,19,4])).
% 297.08/297.15 cnf(2472,plain,
% 297.08/297.15 (~E(f4(f3(f5(f5(a1,a1),f5(a1,a1)))),f4(f3(f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[827,1260,2366,2309,4,2,3])).
% 297.08/297.15 cnf(2477,plain,
% 297.08/297.15 (E(f6(f6(f6(f3(a1),f3(a1)),x24771),x24772),f6(f6(f3(f5(a1,a1)),x24771),x24772))),
% 297.08/297.15 inference(scs_inference,[],[2291,2380,827,1260,2366,2309,4,2,3,14,16,9])).
% 297.08/297.15 cnf(2484,plain,
% 297.08/297.15 (~E(f3(f5(f5(a1,a1),f5(a1,a1))),f3(f4(f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[2302,2291,2380,827,1260,2366,2309,967,4,2,3,14,16,9,15,5,10,8,7,6])).
% 297.08/297.15 cnf(2485,plain,
% 297.08/297.15 (E(f4(f4(f3(f4(f3(a1))))),f4(a1))),
% 297.08/297.15 inference(scs_inference,[],[1246,6])).
% 297.08/297.15 cnf(2491,plain,
% 297.08/297.15 (P1(f5(f5(f4(f3(a1)),a1),f5(f4(f3(a1)),a1)))),
% 297.08/297.15 inference(scs_inference,[],[85,835,244,4,2,22])).
% 297.08/297.15 cnf(2504,plain,
% 297.08/297.15 (~E(f3(f4(f3(a1))),f3(f5(f5(a1,a1),f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[2484,2])).
% 297.08/297.15 cnf(2505,plain,
% 297.08/297.15 (P1(f5(f5(a1,a1),f5(f4(f3(a1)),a1)))),
% 297.08/297.15 inference(scs_inference,[],[2491,2484,374,2,11])).
% 297.08/297.15 cnf(2508,plain,
% 297.08/297.15 (~E(f5(f5(f4(f3(a1)),f4(f3(a1))),f5(f4(f3(a1)),f4(f3(a1)))),a1)),
% 297.08/297.15 inference(scs_inference,[],[2491,313,2484,2375,374,2,11,3,19])).
% 297.08/297.15 cnf(2512,plain,
% 297.08/297.15 (P2(f6(f6(f3(a1),f3(a1)),f6(f3(a1),f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[2491,313,106,40,2484,2375,374,2,11,3,19,22,21])).
% 297.08/297.15 cnf(2515,plain,
% 297.08/297.15 (E(f3(f5(a1,a1)),f3(f4(f6(f3(a1),f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[504,2])).
% 297.08/297.15 cnf(2524,plain,
% 297.08/297.15 (E(f2(f6(f3(f4(f3(a1))),f3(a1))),f2(f3(f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[2505,247,696,905,504,927,389,2368,2,3,14,16,9,15,5])).
% 297.08/297.15 cnf(2528,plain,
% 297.08/297.15 (~E(f4(f6(f3(a1),f3(a1))),f4(f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[2469,2])).
% 297.08/297.15 cnf(2529,plain,
% 297.08/297.15 (~E(f3(f4(f3(a1))),f6(f3(f5(a1,a1)),f3(f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[2289,2469,2504,2,3])).
% 297.08/297.15 cnf(2531,plain,
% 297.08/297.15 (~E(f3(a1),f6(f3(f5(a1,a1)),f3(f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[280,2529,33,2,3])).
% 297.08/297.15 cnf(2534,plain,
% 297.08/297.15 (P1(f5(f4(f6(f3(a1),f3(a1))),f4(f6(f3(a1),f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[46,2472,2,22])).
% 297.08/297.15 cnf(2536,plain,
% 297.08/297.15 (P2(f6(f6(f6(f3(a1),f3(a1)),f6(f3(a1),f3(a1))),f6(f6(f3(a1),f3(a1)),f6(f3(a1),f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[2512,46,2472,2,22,21])).
% 297.08/297.15 cnf(2538,plain,
% 297.08/297.15 (P2(f6(f6(f3(a1),f3(a1)),f3(f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[2512,46,2472,332,2,22,21,12])).
% 297.08/297.15 cnf(2541,plain,
% 297.08/297.15 (~E(f5(f4(f2(f3(a1))),f4(f2(f3(a1)))),a1)),
% 297.08/297.15 inference(scs_inference,[],[2512,46,96,2420,2515,2472,332,2,22,21,12,3,19])).
% 297.08/297.15 cnf(2556,plain,
% 297.08/297.15 (P2(f2(f6(f6(f3(a1),f3(a1)),f3(f5(a1,a1)))))),
% 297.08/297.15 inference(scs_inference,[],[298,2538,2534,2089,702,2304,1143,2528,2,11,3,16,14,15])).
% 297.08/297.15 cnf(2591,plain,
% 297.08/297.15 (~E(f5(f5(f5(a1,f4(f3(a1))),f5(a1,a1)),f5(f5(a1,f4(f3(a1))),f5(a1,a1))),f4(f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[25,2536,2361,2477,2372,2368,4,2,12,3])).
% 297.08/297.15 cnf(2599,plain,
% 297.08/297.15 (E(f6(f6(f2(f3(a1)),f2(f3(a1))),x25991),f6(f3(a1),x25991))),
% 297.08/297.15 inference(scs_inference,[],[25,2536,2556,1395,2361,2477,2372,244,2368,332,4,2,12,3,14,16,15,5,9])).
% 297.08/297.15 cnf(2600,plain,
% 297.08/297.15 (E(f6(x26001,f6(f2(f3(a1)),f2(f3(a1)))),f6(x26001,f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[25,2536,2556,1395,2361,2477,2372,244,2368,332,4,2,12,3,14,16,15,5,9,10])).
% 297.08/297.15 cnf(2614,plain,
% 297.08/297.15 (E(f6(f6(f2(f3(a1)),f2(f3(a1))),f3(a1)),f3(f5(a1,a1)))),
% 297.08/297.15 inference(scs_inference,[],[2599,55])).
% 297.08/297.15 cnf(2638,plain,
% 297.08/297.15 (E(f4(f6(f2(f3(a1)),f2(f3(a1)))),a1)),
% 297.08/297.15 inference(scs_inference,[],[25,1146,2485,2614,4,2,3])).
% 297.08/297.15 cnf(2652,plain,
% 297.08/297.15 (P2(f6(f6(f2(f3(a1)),f2(f3(a1))),f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[2407,2600,2591,2,12])).
% 297.08/297.15 cnf(2667,plain,
% 297.08/297.15 (~E(f6(f2(f3(a1)),f2(f3(a1))),f6(f3(f5(a1,a1)),f3(f5(a1,a1))))),
% 297.08/297.15 inference(scs_inference,[],[2652,113,2364,2531,334,75,2,21,11,3])).
% 297.08/297.15 cnf(2673,plain,
% 297.08/297.15 (~E(f6(f3(f5(a1,a1)),f3(f5(a1,a1))),f6(f2(f3(a1)),f2(f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[2667,2])).
% 297.08/297.15 cnf(2693,plain,
% 297.08/297.15 (~E(f3(f5(f5(a1,a1),f5(a1,a1))),f6(f2(f3(a1)),f2(f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[2289,2673,2508,2,3])).
% 297.08/297.15 cnf(2705,plain,
% 297.08/297.15 (P1(f5(f4(f2(f3(a1))),f4(f3(a1))))),
% 297.08/297.15 inference(scs_inference,[],[1375,2693,75,2,11])).
% 297.08/297.15 cnf(2707,plain,
% 297.08/297.15 (~E(f3(f4(f3(a1))),f3(f5(a1,f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[1375,2449,2455,2693,75,2,11,3])).
% 297.08/297.15 cnf(2714,plain,
% 297.08/297.15 (P2(f3(f5(f4(f2(f3(a1))),f4(f3(a1)))))),
% 297.08/297.15 inference(scs_inference,[],[2705,2398,2707,2638,33,4,2,3,14])).
% 297.08/297.15 cnf(2770,plain,
% 297.08/297.15 (~E(f5(f4(f2(f3(a1))),f4(f2(f3(a1)))),f4(f3(a1)))),
% 297.08/297.15 inference(scs_inference,[],[25,2714,2524,2541,378,2,12,3])).
% 297.08/297.15 cnf(4262,plain,
% 297.08/297.15 (E(x42621,x42622)+~E(x42621,x42623)+~E(x42623,x42622)),
% 297.08/297.15 inference(rename_variables,[],[3])).
% 297.08/297.15 cnf(4264,plain,
% 297.08/297.15 (~P2(x42641)+P1(f4(x42641))),
% 297.08/297.15 inference(rename_variables,[],[16])).
% 297.08/297.15 cnf(4266,plain,
% 297.08/297.15 (~P2(x42661)+~P2(x42662)+P2(f6(x42662,x42661))),
% 297.08/297.15 inference(rename_variables,[],[21])).
% 297.08/297.15 cnf(4268,plain,
% 297.08/297.15 (~P2(x42681)+P2(f2(x42681))),
% 297.08/297.15 inference(rename_variables,[],[15])).
% 297.08/297.15 cnf(4270,plain,
% 297.08/297.15 (E(f3(f4(x42701)),x42701)+~P2(x42701)),
% 297.08/297.15 inference(rename_variables,[],[18])).
% 297.08/297.15 cnf(4272,plain,
% 297.08/297.15 (E(f6(f2(x42721),f2(x42721)),x42721)+~P2(x42721)),
% 297.08/297.15 inference(rename_variables,[],[20])).
% 297.08/297.15 cnf(4274,plain,
% 297.08/297.15 (E(f3(f4(x42741)),x42741)+~P2(x42741)),
% 297.08/297.15 inference(rename_variables,[],[18])).
% 297.08/297.15 cnf(4276,plain,
% 297.08/297.15 (E(f6(f2(x42761),f2(x42761)),x42761)+~P2(x42761)),
% 297.08/297.15 inference(rename_variables,[],[20])).
% 297.08/297.15 cnf(4278,plain,
% 297.08/297.15 (~P2(x42781)+P1(f4(x42781))),
% 297.08/297.15 inference(rename_variables,[],[16])).
% 297.08/297.15 cnf(4280,plain,
% 297.08/297.15 (~P2(x42801)+P2(f2(x42801))),
% 297.08/297.15 inference(rename_variables,[],[15])).
% 297.08/297.15 cnf(4282,plain,
% 297.08/297.15 (~P2(x42821)+~P2(x42822)+P2(f6(x42822,x42821))),
% 297.08/297.15 inference(rename_variables,[],[21])).
% 297.08/297.15 cnf(4284,plain,
% 297.08/297.15 (E(f3(f4(x42841)),x42841)+~P2(x42841)),
% 297.08/297.15 inference(rename_variables,[],[18])).
% 297.08/297.15 cnf(4286,plain,
% 297.08/297.15 (E(f6(f2(x42861),f2(x42861)),x42861)+~P2(x42861)),
% 297.08/297.15 inference(rename_variables,[],[20])).
% 297.08/297.15 cnf(4288,plain,
% 297.08/297.15 (~P2(x42881)+P1(f4(x42881))),
% 297.08/297.15 inference(rename_variables,[],[16])).
% 297.08/297.15 cnf(4290,plain,
% 297.08/297.15 (~P2(x42901)+P2(f2(x42901))),
% 297.08/297.15 inference(rename_variables,[],[15])).
% 297.08/297.15 cnf(4292,plain,
% 297.08/297.15 (~P2(x42921)+~P2(x42922)+P2(f6(x42922,x42921))),
% 297.08/297.15 inference(rename_variables,[],[21])).
% 297.08/297.15 cnf(4296,plain,
% 297.08/297.15 (E(f3(f4(x42961)),x42961)+~P2(x42961)),
% 297.08/297.15 inference(rename_variables,[],[18])).
% 297.08/297.15 cnf(4298,plain,
% 297.08/297.15 (E(f6(f2(x42981),f2(x42981)),x42981)+~P2(x42981)),
% 297.08/297.15 inference(rename_variables,[],[20])).
% 297.08/297.15 cnf(4300,plain,
% 297.08/297.15 (~P2(x43001)+P1(f4(x43001))),
% 297.08/297.15 inference(rename_variables,[],[16])).
% 297.08/297.15 cnf(4302,plain,
% 297.08/297.15 (~P2(x43021)+P2(f2(x43021))),
% 297.08/297.15 inference(rename_variables,[],[15])).
% 297.08/297.15 cnf(4304,plain,
% 297.08/297.15 (~P2(x43041)+~P2(x43042)+P2(f6(x43042,x43041))),
% 297.08/297.15 inference(rename_variables,[],[21])).
% 297.08/297.15 cnf(4310,plain,
% 297.08/297.15 ($false),
% 297.08/297.15 inference(scs_inference,[],[25,225,227,231,242,243,287,1353,868,2770,1146,3,16,21,15,18,20,4270,4272,4264,4268,4266,4274,4276,4278,4280,4282,12,4284,4286,4288,4290,4292,4296,4298,4300,4302,4304,4262]),
% 297.08/297.15 ['proof']).
% 297.08/297.16 % SZS output end Proof
% 297.08/297.16 % Total time :296.330000s
%------------------------------------------------------------------------------