TSTP Solution File: RNG092+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 13:48:07 EDT 2023
% Result : Theorem 6.90s 6.93s
% Output : CNFRefutation 6.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:56:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 6.82/6.91 %-------------------------------------------
% 6.82/6.91 % File :CSE---1.6
% 6.82/6.91 % Problem :theBenchmark
% 6.82/6.91 % Transform :cnf
% 6.82/6.91 % Format :tptp:raw
% 6.82/6.91 % Command :java -jar mcs_scs.jar %d %s
% 6.82/6.91
% 6.82/6.91 % Result :Theorem 6.220000s
% 6.82/6.91 % Output :CNFRefutation 6.220000s
% 6.82/6.91 %-------------------------------------------
% 6.82/6.92 %------------------------------------------------------------------------------
% 6.82/6.92 % File : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% 6.82/6.92 % Domain : Ring Theory
% 6.82/6.92 % Problem : Chinese remainder theorem in a ring 03_08, 01 expansion
% 6.82/6.92 % Version : Especial.
% 6.82/6.92 % English :
% 6.82/6.92
% 6.82/6.92 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 6.82/6.92 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 6.82/6.92 % Source : [Pas08]
% 6.82/6.92 % Names : chines_03_08.01 [Pas08]
% 6.82/6.92
% 6.82/6.92 % Status : Theorem
% 6.82/6.92 % Rating : 0.39 v8.1.0, 0.31 v7.5.0, 0.34 v7.4.0, 0.30 v7.3.0, 0.34 v7.2.0, 0.31 v7.1.0, 0.43 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.38 v6.2.0, 0.36 v6.1.0, 0.40 v6.0.0, 0.43 v5.5.0, 0.59 v5.4.0, 0.64 v5.3.0, 0.63 v5.2.0, 0.45 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.1, 0.87 v4.0.0
% 6.82/6.92 % Syntax : Number of formulae : 26 ( 3 unt; 3 def)
% 6.82/6.92 % Number of atoms : 139 ( 32 equ)
% 6.82/6.92 % Maximal formula atoms : 39 ( 5 avg)
% 6.82/6.92 % Number of connectives : 114 ( 1 ~; 4 |; 63 &)
% 6.82/6.92 % ( 6 <=>; 40 =>; 0 <=; 0 <~>)
% 6.82/6.92 % Maximal formula depth : 28 ( 6 avg)
% 6.82/6.92 % Maximal term depth : 3 ( 1 avg)
% 6.82/6.92 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% 6.82/6.92 % Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% 6.82/6.92 % Number of variables : 74 ( 58 !; 16 ?)
% 6.82/6.92 % SPC : FOF_THM_RFO_SEQ
% 6.82/6.92
% 6.82/6.92 % Comments : Problem generated by the SAD system [VLP07]
% 6.82/6.92 %------------------------------------------------------------------------------
% 6.82/6.92 fof(mElmSort,axiom,
% 6.82/6.92 ! [W0] :
% 6.82/6.92 ( aElement0(W0)
% 6.82/6.92 => $true ) ).
% 6.82/6.92
% 6.82/6.92 fof(mSortsC,axiom,
% 6.82/6.92 aElement0(sz00) ).
% 6.82/6.92
% 6.82/6.92 fof(mSortsC_01,axiom,
% 6.82/6.92 aElement0(sz10) ).
% 6.82/6.92
% 6.82/6.92 fof(mSortsU,axiom,
% 6.82/6.92 ! [W0] :
% 6.82/6.92 ( aElement0(W0)
% 6.82/6.92 => aElement0(smndt0(W0)) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mSortsB,axiom,
% 6.82/6.92 ! [W0,W1] :
% 6.82/6.92 ( ( aElement0(W0)
% 6.82/6.92 & aElement0(W1) )
% 6.82/6.92 => aElement0(sdtpldt0(W0,W1)) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mSortsB_02,axiom,
% 6.82/6.92 ! [W0,W1] :
% 6.82/6.92 ( ( aElement0(W0)
% 6.82/6.92 & aElement0(W1) )
% 6.82/6.92 => aElement0(sdtasdt0(W0,W1)) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mAddComm,axiom,
% 6.82/6.92 ! [W0,W1] :
% 6.82/6.92 ( ( aElement0(W0)
% 6.82/6.92 & aElement0(W1) )
% 6.82/6.92 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mAddAsso,axiom,
% 6.82/6.92 ! [W0,W1,W2] :
% 6.82/6.92 ( ( aElement0(W0)
% 6.82/6.92 & aElement0(W1)
% 6.82/6.92 & aElement0(W2) )
% 6.82/6.92 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mAddZero,axiom,
% 6.82/6.92 ! [W0] :
% 6.82/6.92 ( aElement0(W0)
% 6.82/6.92 => ( sdtpldt0(W0,sz00) = W0
% 6.82/6.92 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mAddInvr,axiom,
% 6.82/6.92 ! [W0] :
% 6.82/6.92 ( aElement0(W0)
% 6.82/6.92 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 6.82/6.92 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mMulComm,axiom,
% 6.82/6.92 ! [W0,W1] :
% 6.82/6.92 ( ( aElement0(W0)
% 6.82/6.92 & aElement0(W1) )
% 6.82/6.92 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mMulAsso,axiom,
% 6.82/6.92 ! [W0,W1,W2] :
% 6.82/6.92 ( ( aElement0(W0)
% 6.82/6.92 & aElement0(W1)
% 6.82/6.92 & aElement0(W2) )
% 6.82/6.92 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mMulUnit,axiom,
% 6.82/6.92 ! [W0] :
% 6.82/6.92 ( aElement0(W0)
% 6.82/6.92 => ( sdtasdt0(W0,sz10) = W0
% 6.82/6.92 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mAMDistr,axiom,
% 6.82/6.92 ! [W0,W1,W2] :
% 6.82/6.92 ( ( aElement0(W0)
% 6.82/6.92 & aElement0(W1)
% 6.82/6.92 & aElement0(W2) )
% 6.82/6.92 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 6.82/6.92 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mMulMnOne,axiom,
% 6.82/6.92 ! [W0] :
% 6.82/6.92 ( aElement0(W0)
% 6.82/6.92 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 6.82/6.92 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 6.82/6.92
% 6.82/6.92 fof(mMulZero,axiom,
% 6.82/6.92 ! [W0] :
% 6.82/6.93 ( aElement0(W0)
% 6.82/6.93 => ( sdtasdt0(W0,sz00) = sz00
% 6.82/6.93 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 6.82/6.93
% 6.82/6.93 fof(mCancel,axiom,
% 6.82/6.93 ! [W0,W1] :
% 6.82/6.93 ( ( aElement0(W0)
% 6.82/6.93 & aElement0(W1) )
% 6.82/6.93 => ( sdtasdt0(W0,W1) = sz00
% 6.82/6.93 => ( W0 = sz00
% 6.82/6.93 | W1 = sz00 ) ) ) ).
% 6.82/6.93
% 6.82/6.93 fof(mUnNeZr,axiom,
% 6.82/6.93 sz10 != sz00 ).
% 6.82/6.93
% 6.82/6.93 fof(mSetSort,axiom,
% 6.82/6.93 ! [W0] :
% 6.82/6.93 ( aSet0(W0)
% 6.82/6.93 => $true ) ).
% 6.82/6.93
% 6.82/6.93 fof(mEOfElem,axiom,
% 6.82/6.93 ! [W0] :
% 6.82/6.93 ( aSet0(W0)
% 6.82/6.93 => ! [W1] :
% 6.82/6.93 ( aElementOf0(W1,W0)
% 6.82/6.93 => aElement0(W1) ) ) ).
% 6.82/6.93
% 6.82/6.93 fof(mSetEq,axiom,
% 6.82/6.93 ! [W0,W1] :
% 6.82/6.93 ( ( aSet0(W0)
% 6.82/6.93 & aSet0(W1) )
% 6.82/6.93 => ( ( ! [W2] :
% 6.82/6.93 ( aElementOf0(W2,W0)
% 6.82/6.93 => aElementOf0(W2,W1) )
% 6.82/6.93 & ! [W2] :
% 6.82/6.93 ( aElementOf0(W2,W1)
% 6.82/6.93 => aElementOf0(W2,W0) ) )
% 6.82/6.93 => W0 = W1 ) ) ).
% 6.82/6.93
% 6.82/6.93 fof(mDefSSum,definition,
% 6.82/6.93 ! [W0,W1] :
% 6.82/6.93 ( ( aSet0(W0)
% 6.82/6.93 & aSet0(W1) )
% 6.82/6.93 => ! [W2] :
% 6.82/6.93 ( W2 = sdtpldt1(W0,W1)
% 6.82/6.93 <=> ( aSet0(W2)
% 6.82/6.93 & ! [W3] :
% 6.82/6.93 ( aElementOf0(W3,W2)
% 6.82/6.93 <=> ? [W4,W5] :
% 6.82/6.93 ( aElementOf0(W4,W0)
% 6.82/6.93 & aElementOf0(W5,W1)
% 6.82/6.93 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 6.82/6.93
% 6.82/6.93 fof(mDefSInt,definition,
% 6.82/6.93 ! [W0,W1] :
% 6.82/6.93 ( ( aSet0(W0)
% 6.82/6.93 & aSet0(W1) )
% 6.82/6.93 => ! [W2] :
% 6.82/6.93 ( W2 = sdtasasdt0(W0,W1)
% 6.82/6.93 <=> ( aSet0(W2)
% 6.82/6.93 & ! [W3] :
% 6.82/6.93 ( aElementOf0(W3,W2)
% 6.82/6.93 <=> ( aElementOf0(W3,W0)
% 6.82/6.93 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 6.82/6.93
% 6.82/6.93 fof(mDefIdeal,definition,
% 6.82/6.93 ! [W0] :
% 6.82/6.93 ( aIdeal0(W0)
% 6.82/6.93 <=> ( aSet0(W0)
% 6.82/6.93 & ! [W1] :
% 6.82/6.93 ( aElementOf0(W1,W0)
% 6.82/6.93 => ( ! [W2] :
% 6.82/6.93 ( aElementOf0(W2,W0)
% 6.82/6.93 => aElementOf0(sdtpldt0(W1,W2),W0) )
% 6.82/6.93 & ! [W2] :
% 6.82/6.93 ( aElement0(W2)
% 6.82/6.93 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 6.82/6.93
% 6.82/6.93 fof(m__870,hypothesis,
% 6.82/6.93 ( aSet0(xI)
% 6.82/6.93 & ! [W0] :
% 6.82/6.93 ( aElementOf0(W0,xI)
% 6.82/6.93 => ( ! [W1] :
% 6.82/6.93 ( aElementOf0(W1,xI)
% 6.82/6.93 => aElementOf0(sdtpldt0(W0,W1),xI) )
% 6.82/6.93 & ! [W1] :
% 6.82/6.93 ( aElement0(W1)
% 6.82/6.93 => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
% 6.82/6.93 & aIdeal0(xI)
% 6.82/6.93 & aSet0(xJ)
% 6.82/6.93 & ! [W0] :
% 6.82/6.93 ( aElementOf0(W0,xJ)
% 6.82/6.93 => ( ! [W1] :
% 6.82/6.93 ( aElementOf0(W1,xJ)
% 6.82/6.93 => aElementOf0(sdtpldt0(W0,W1),xJ) )
% 6.82/6.93 & ! [W1] :
% 6.82/6.93 ( aElement0(W1)
% 6.82/6.93 => aElementOf0(sdtasdt0(W1,W0),xJ) ) ) )
% 6.82/6.93 & aIdeal0(xJ) ) ).
% 6.82/6.93
% 6.82/6.93 fof(m__,conjecture,
% 6.82/6.93 ( ! [W0,W1,W2] :
% 6.82/6.93 ( ( ( ? [W3,W4] :
% 6.82/6.93 ( aElementOf0(W3,xI)
% 6.82/6.93 & aElementOf0(W4,xJ)
% 6.82/6.93 & sdtpldt0(W3,W4) = W0 )
% 6.82/6.93 | aElementOf0(W0,sdtpldt1(xI,xJ)) )
% 6.82/6.93 & ( ? [W3,W4] :
% 6.82/6.93 ( aElementOf0(W3,xI)
% 6.82/6.93 & aElementOf0(W4,xJ)
% 6.82/6.93 & sdtpldt0(W3,W4) = W1 )
% 6.82/6.93 | aElementOf0(W1,sdtpldt1(xI,xJ)) )
% 6.82/6.93 & aElement0(W2) )
% 6.82/6.93 => ? [W3,W4] :
% 6.82/6.93 ( aElementOf0(W3,xI)
% 6.82/6.93 & aElementOf0(W4,xJ)
% 6.82/6.93 & W0 = sdtpldt0(W3,W4)
% 6.82/6.93 & ? [W5,W6] :
% 6.82/6.93 ( aElementOf0(W5,xI)
% 6.82/6.93 & aElementOf0(W6,xJ)
% 6.82/6.93 & W1 = sdtpldt0(W5,W6)
% 6.82/6.93 & aElementOf0(sdtpldt0(W3,W5),xI)
% 6.82/6.93 & aElementOf0(sdtpldt0(W4,W6),xJ)
% 6.82/6.93 & aElementOf0(sdtasdt0(W2,W3),xI)
% 6.82/6.93 & aElementOf0(sdtasdt0(W2,W4),xJ)
% 6.82/6.93 & sdtpldt0(W0,W1) = sdtpldt0(sdtpldt0(W3,W5),sdtpldt0(W4,W6))
% 6.82/6.93 & ? [W7,W8] :
% 6.82/6.93 ( aElementOf0(W7,xI)
% 6.82/6.93 & aElementOf0(W8,xJ)
% 6.82/6.93 & sdtpldt0(W7,W8) = sdtpldt0(W0,W1) )
% 6.82/6.93 & aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ))
% 6.82/6.93 & ? [W7,W8] :
% 6.82/6.93 ( aElementOf0(W7,xI)
% 6.82/6.93 & aElementOf0(W8,xJ)
% 6.82/6.93 & sdtpldt0(W7,W8) = sdtasdt0(W2,W0) )
% 6.82/6.93 & aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ)) ) ) )
% 6.82/6.93 => ( ( aSet0(sdtpldt1(xI,xJ))
% 6.82/6.93 & ! [W0] :
% 6.82/6.93 ( aElementOf0(W0,sdtpldt1(xI,xJ))
% 6.82/6.93 <=> ? [W1,W2] :
% 6.82/6.93 ( aElementOf0(W1,xI)
% 6.82/6.93 & aElementOf0(W2,xJ)
% 6.82/6.93 & sdtpldt0(W1,W2) = W0 ) ) )
% 6.82/6.93 => ( ! [W0] :
% 6.82/6.93 ( aElementOf0(W0,sdtpldt1(xI,xJ))
% 6.82/6.93 => ( ! [W1] :
% 6.82/6.93 ( aElementOf0(W1,sdtpldt1(xI,xJ))
% 6.82/6.93 => aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ)) )
% 6.82/6.93 & ! [W1] :
% 6.82/6.93 ( aElement0(W1)
% 6.82/6.93 => aElementOf0(sdtasdt0(W1,W0),sdtpldt1(xI,xJ)) ) ) )
% 6.82/6.93 | aIdeal0(sdtpldt1(xI,xJ)) ) ) ) ).
% 6.82/6.93
% 6.90/6.93 %------------------------------------------------------------------------------
% 6.90/6.93 %-------------------------------------------
% 6.90/6.93 % Proof found
% 6.90/6.93 % SZS status Theorem for theBenchmark
% 6.90/6.93 % SZS output start Proof
% 6.90/6.93 %ClaNum:217(EqnAxiom:70)
% 6.90/6.93 %VarNum:1313(SingletonVarNum:503)
% 6.90/6.93 %MaxLitNum:8
% 6.90/6.93 %MaxfuncDepth:3
% 6.90/6.93 %SharedTerms:25
% 6.90/6.93 %goalClause: 77 78 80 95 106 107 113 114 118 121 130 131 132 133 134 135 137 138 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 199 200 204 205 206 207 208 209 210 211 213 214 215 217
% 6.90/6.93 %singleGoalClaCount:3
% 6.90/6.93 [71]P1(a1)
% 6.90/6.93 [72]P1(a31)
% 6.90/6.93 [73]P2(a32)
% 6.90/6.93 [74]P2(a33)
% 6.90/6.93 [75]P3(a32)
% 6.90/6.93 [76]P3(a33)
% 6.90/6.93 [79]~E(a1,a31)
% 6.90/6.93 [77]P2(f2(a32,a33))
% 6.90/6.93 [78]P4(a3,f2(a32,a33))
% 6.90/6.93 [80]~P3(f2(a32,a33))
% 6.90/6.93 [95]P1(a19)+P4(a20,f2(a32,a33))
% 6.90/6.93 [114]~P4(f29(a3,a20),f2(a32,a33))+P1(a19)
% 6.90/6.93 [121]~P4(f17(a19,a3),f2(a32,a33))+P4(a20,f2(a32,a33))
% 6.90/6.93 [130]~P4(f17(a19,a3),f2(a32,a33))+~P4(f29(a3,a20),f2(a32,a33))
% 6.90/6.93 [81]~P3(x811)+P2(x811)
% 6.90/6.93 [82]~P1(x821)+P1(f30(x821))
% 6.90/6.93 [83]~P1(x831)+E(f17(a1,x831),a1)
% 6.90/6.93 [84]~P1(x841)+E(f17(x841,a1),a1)
% 6.90/6.93 [85]~P1(x851)+E(f29(a1,x851),x851)
% 6.90/6.93 [86]~P1(x861)+E(f17(a31,x861),x861)
% 6.90/6.93 [87]~P1(x871)+E(f29(x871,a1),x871)
% 6.90/6.93 [88]~P1(x881)+E(f17(x881,a31),x881)
% 6.90/6.93 [106]~P4(x1061,f2(a32,a33))+P4(f6(x1061),a32)
% 6.90/6.93 [107]~P4(x1071,f2(a32,a33))+P4(f16(x1071),a33)
% 6.90/6.93 [89]~P1(x891)+E(f29(f30(x891),x891),a1)
% 6.90/6.93 [90]~P1(x901)+E(f29(x901,f30(x901)),a1)
% 6.90/6.93 [91]~P1(x911)+E(f17(x911,f30(a31)),f30(x911))
% 6.90/6.93 [92]~P1(x921)+E(f17(f30(a31),x921),f30(x921))
% 6.90/6.93 [113]~P4(x1131,f2(a32,a33))+E(f29(f6(x1131),f16(x1131)),x1131)
% 6.90/6.93 [93]~P2(x931)+P3(x931)+P4(f18(x931),x931)
% 6.90/6.93 [94]~P4(x941,x942)+P1(x941)+~P2(x942)
% 6.90/6.93 [97]~P1(x972)+~P1(x971)+E(f29(x971,x972),f29(x972,x971))
% 6.90/6.93 [98]~P1(x982)+~P1(x981)+E(f17(x981,x982),f17(x982,x981))
% 6.90/6.93 [102]~P1(x1022)+~P1(x1021)+P1(f29(x1021,x1022))
% 6.90/6.93 [103]~P1(x1032)+~P1(x1031)+P1(f17(x1031,x1032))
% 6.90/6.93 [104]~P1(x1041)+~P4(x1042,a32)+P4(f17(x1041,x1042),a32)
% 6.90/6.93 [105]~P1(x1051)+~P4(x1052,a33)+P4(f17(x1051,x1052),a33)
% 6.90/6.93 [111]~P4(x1111,a32)+~P4(x1112,a32)+P4(f29(x1111,x1112),a32)
% 6.90/6.93 [112]~P4(x1121,a33)+~P4(x1122,a33)+P4(f29(x1121,x1122),a33)
% 6.90/6.93 [101]~P2(x1011)+P3(x1011)+P4(f5(x1011),x1011)+P1(f4(x1011))
% 6.90/6.93 [125]~P2(x1251)+P3(x1251)+P1(f4(x1251))+~P4(f29(f18(x1251),f5(x1251)),x1251)
% 6.90/6.93 [128]~P2(x1281)+P3(x1281)+P4(f5(x1281),x1281)+~P4(f17(f4(x1281),f18(x1281)),x1281)
% 6.90/6.93 [139]~P2(x1391)+P3(x1391)+~P4(f29(f18(x1391),f5(x1391)),x1391)+~P4(f17(f4(x1391),f18(x1391)),x1391)
% 6.90/6.93 [99]~P2(x993)+~P2(x992)+P2(x991)+~E(x991,f2(x992,x993))
% 6.90/6.93 [100]~P2(x1003)+~P2(x1002)+P2(x1001)+~E(x1001,f28(x1002,x1003))
% 6.90/6.93 [110]~P1(x1101)+~P3(x1103)+~P4(x1102,x1103)+P4(f17(x1101,x1102),x1103)
% 6.90/6.93 [115]~P3(x1153)+~P4(x1151,x1153)+~P4(x1152,x1153)+P4(f29(x1151,x1152),x1153)
% 6.90/6.93 [118]~P4(x1183,a33)+~P4(x1182,a32)+~E(f29(x1182,x1183),x1181)+P4(x1181,f2(a32,a33))
% 6.90/6.93 [131]~P1(x1313)+~P4(x1311,f2(a32,a33))+~P4(x1312,f2(a32,a33))+P4(f29(x1311,x1312),f2(a32,a33))
% 6.90/6.93 [132]~P1(x1321)+~P4(x1322,f2(a32,a33))+~P4(x1323,f2(a32,a33))+P4(f17(x1321,x1322),f2(a32,a33))
% 6.90/6.93 [140]~P1(x1403)+~P4(x1402,f2(a32,a33))+~P4(x1401,f2(a32,a33))+P4(f8(x1401,x1402,x1403),a32)
% 6.90/6.93 [141]~P1(x1413)+~P4(x1412,f2(a32,a33))+~P4(x1411,f2(a32,a33))+P4(f9(x1411,x1412,x1413),a33)
% 6.90/6.93 [142]~P1(x1423)+~P4(x1422,f2(a32,a33))+~P4(x1421,f2(a32,a33))+P4(f10(x1421,x1422,x1423),a32)
% 6.90/6.93 [143]~P1(x1433)+~P4(x1432,f2(a32,a33))+~P4(x1431,f2(a32,a33))+P4(f11(x1431,x1432,x1433),a33)
% 6.90/6.93 [144]~P1(x1443)+~P4(x1442,f2(a32,a33))+~P4(x1441,f2(a32,a33))+P4(f12(x1441,x1442,x1443),a32)
% 6.90/6.93 [145]~P1(x1453)+~P4(x1452,f2(a32,a33))+~P4(x1451,f2(a32,a33))+P4(f13(x1451,x1452,x1453),a33)
% 6.90/6.93 [146]~P1(x1463)+~P4(x1462,f2(a32,a33))+~P4(x1461,f2(a32,a33))+P4(f14(x1461,x1462,x1463),a32)
% 6.90/6.93 [147]~P1(x1473)+~P4(x1472,f2(a32,a33))+~P4(x1471,f2(a32,a33))+P4(f15(x1471,x1472,x1473),a33)
% 6.90/6.93 [119]~P1(x1193)+~P1(x1192)+~P1(x1191)+E(f29(f29(x1191,x1192),x1193),f29(x1191,f29(x1192,x1193)))
% 6.90/6.93 [120]~P1(x1203)+~P1(x1202)+~P1(x1201)+E(f17(f17(x1201,x1202),x1203),f17(x1201,f17(x1202,x1203)))
% 6.90/6.93 [126]~P1(x1263)+~P1(x1262)+~P1(x1261)+E(f29(f17(x1261,x1262),f17(x1261,x1263)),f17(x1261,f29(x1262,x1263)))
% 6.90/6.93 [127]~P1(x1272)+~P1(x1273)+~P1(x1271)+E(f29(f17(x1271,x1272),f17(x1273,x1272)),f17(f29(x1271,x1273),x1272))
% 6.90/6.93 [176]~P1(x1763)+~P4(x1762,f2(a32,a33))+~P4(x1761,f2(a32,a33))+E(f29(f8(x1761,x1762,x1763),f9(x1761,x1762,x1763)),x1761)
% 6.90/6.93 [177]~P1(x1773)+~P4(x1771,f2(a32,a33))+~P4(x1772,f2(a32,a33))+E(f29(f10(x1771,x1772,x1773),f11(x1771,x1772,x1773)),x1772)
% 6.90/6.93 [182]~P1(x1823)+~P4(x1822,f2(a32,a33))+~P4(x1821,f2(a32,a33))+E(f29(f12(x1821,x1822,x1823),f13(x1821,x1822,x1823)),f29(x1821,x1822))
% 6.90/6.93 [183]~P1(x1833)+~P4(x1832,f2(a32,a33))+~P4(x1831,f2(a32,a33))+E(f29(f14(x1831,x1832,x1833),f15(x1831,x1832,x1833)),f17(x1833,x1831))
% 6.90/6.93 [186]~P1(x1861)+~P4(x1863,f2(a32,a33))+~P4(x1862,f2(a32,a33))+P4(f17(x1861,f8(x1862,x1863,x1861)),a32)
% 6.90/6.93 [187]~P1(x1871)+~P4(x1873,f2(a32,a33))+~P4(x1872,f2(a32,a33))+P4(f17(x1871,f9(x1872,x1873,x1871)),a33)
% 6.90/6.94 [204]~P1(x2043)+~P4(x2042,f2(a32,a33))+~P4(x2041,f2(a32,a33))+P4(f29(f8(x2041,x2042,x2043),f10(x2041,x2042,x2043)),a32)
% 6.90/6.94 [205]~P1(x2053)+~P4(x2052,f2(a32,a33))+~P4(x2051,f2(a32,a33))+P4(f29(f9(x2051,x2052,x2053),f11(x2051,x2052,x2053)),a33)
% 6.90/6.94 [213]~P1(x2133)+~P4(x2132,f2(a32,a33))+~P4(x2131,f2(a32,a33))+E(f29(f29(f8(x2131,x2132,x2133),f10(x2131,x2132,x2133)),f29(f9(x2131,x2132,x2133),f11(x2131,x2132,x2133))),f29(x2131,x2132))
% 6.90/6.94 [96]~P1(x961)+~P1(x962)+E(x961,a1)+E(x962,a1)+~E(f17(x962,x961),a1)
% 6.90/6.94 [116]~P2(x1162)+~P2(x1161)+E(x1161,x1162)+P4(f7(x1161,x1162),x1161)+P4(f21(x1161,x1162),x1162)
% 6.90/6.94 [122]~P2(x1222)+~P2(x1221)+E(x1221,x1222)+P4(f7(x1221,x1222),x1221)+~P4(f21(x1221,x1222),x1221)
% 6.90/6.94 [123]~P2(x1232)+~P2(x1231)+E(x1231,x1232)+P4(f21(x1231,x1232),x1232)+~P4(f7(x1231,x1232),x1232)
% 6.90/6.94 [129]~P2(x1292)+~P2(x1291)+E(x1291,x1292)+~P4(f7(x1291,x1292),x1292)+~P4(f21(x1291,x1292),x1291)
% 6.90/6.94 [108]~P2(x1084)+~P2(x1082)+~P4(x1081,x1083)+P4(x1081,x1082)+~E(x1083,f28(x1084,x1082))
% 6.90/6.94 [109]~P2(x1094)+~P2(x1092)+~P4(x1091,x1093)+P4(x1091,x1092)+~E(x1093,f28(x1092,x1094))
% 6.90/6.94 [202]~P2(x2022)+~P2(x2021)+~P4(x2024,x2023)+~E(x2023,f2(x2021,x2022))+P4(f23(x2021,x2022,x2023,x2024),x2021)
% 6.90/6.94 [203]~P2(x2032)+~P2(x2031)+~P4(x2034,x2033)+~E(x2033,f2(x2031,x2032))+P4(f24(x2031,x2032,x2033,x2034),x2032)
% 6.90/6.94 [216]~P2(x2162)+~P2(x2161)+~P4(x2164,x2163)+~E(x2163,f2(x2161,x2162))+E(f29(f23(x2161,x2162,x2163,x2164),f24(x2161,x2162,x2163,x2164)),x2164)
% 6.90/6.94 [172]~P2(x1721)+~P2(x1723)+~P2(x1722)+P4(f22(x1722,x1723,x1721),x1721)+P4(f25(x1722,x1723,x1721),x1722)+E(x1721,f2(x1722,x1723))
% 6.90/6.94 [173]~P2(x1731)+~P2(x1733)+~P2(x1732)+P4(f22(x1732,x1733,x1731),x1731)+P4(f26(x1732,x1733,x1731),x1733)+E(x1731,f2(x1732,x1733))
% 6.90/6.94 [174]~P2(x1741)+~P2(x1743)+~P2(x1742)+P4(f27(x1742,x1743,x1741),x1741)+P4(f27(x1742,x1743,x1741),x1743)+E(x1741,f28(x1742,x1743))
% 6.90/6.94 [175]~P2(x1751)+~P2(x1753)+~P2(x1752)+P4(f27(x1752,x1753,x1751),x1751)+P4(f27(x1752,x1753,x1751),x1752)+E(x1751,f28(x1752,x1753))
% 6.90/6.94 [201]~P2(x2011)+~P2(x2013)+~P2(x2012)+P4(f22(x2012,x2013,x2011),x2011)+E(x2011,f2(x2012,x2013))+E(f29(f25(x2012,x2013,x2011),f26(x2012,x2013,x2011)),f22(x2012,x2013,x2011))
% 6.90/6.94 [117]~P2(x1174)+~P2(x1173)+~P4(x1171,x1174)+~P4(x1171,x1173)+P4(x1171,x1172)+~E(x1172,f28(x1173,x1174))
% 6.90/6.94 [133]~P1(x1335)+~P4(x1334,a33)+~P4(x1333,a32)+~E(f29(x1333,x1334),x1332)+~P4(x1331,f2(a32,a33))+P4(f29(x1331,x1332),f2(a32,a33))
% 6.90/6.94 [134]~P1(x1345)+~P4(x1344,a33)+~P4(x1343,a32)+~E(f29(x1343,x1344),x1341)+~P4(x1342,f2(a32,a33))+P4(f29(x1341,x1342),f2(a32,a33))
% 6.90/6.94 [135]~P1(x1351)+~P4(x1354,a33)+~P4(x1353,a32)+P4(f17(x1351,x1352),f2(a32,a33))+~E(f29(x1353,x1354),x1352)+~P4(x1355,f2(a32,a33))
% 6.90/6.94 [148]~P1(x1483)+~P4(x1485,a33)+~P4(x1484,a32)+~P4(x1481,f2(a32,a33))+~E(f29(x1484,x1485),x1482)+P4(f8(x1481,x1482,x1483),a32)
% 6.90/6.94 [149]~P1(x1493)+~P4(x1495,a33)+~P4(x1494,a32)+~P4(x1492,f2(a32,a33))+~E(f29(x1494,x1495),x1491)+P4(f8(x1491,x1492,x1493),a32)
% 6.90/6.94 [150]~P1(x1503)+~P4(x1505,a33)+~P4(x1504,a32)+~P4(x1501,f2(a32,a33))+~E(f29(x1504,x1505),x1502)+P4(f9(x1501,x1502,x1503),a33)
% 6.90/6.94 [151]~P1(x1513)+~P4(x1515,a33)+~P4(x1514,a32)+~P4(x1512,f2(a32,a33))+~E(f29(x1514,x1515),x1511)+P4(f9(x1511,x1512,x1513),a33)
% 6.90/6.94 [152]~P1(x1523)+~P4(x1525,a33)+~P4(x1524,a32)+~P4(x1521,f2(a32,a33))+~E(f29(x1524,x1525),x1522)+P4(f10(x1521,x1522,x1523),a32)
% 6.90/6.94 [153]~P1(x1533)+~P4(x1535,a33)+~P4(x1534,a32)+~P4(x1532,f2(a32,a33))+~E(f29(x1534,x1535),x1531)+P4(f10(x1531,x1532,x1533),a32)
% 6.90/6.94 [154]~P1(x1543)+~P4(x1545,a33)+~P4(x1544,a32)+~P4(x1541,f2(a32,a33))+~E(f29(x1544,x1545),x1542)+P4(f11(x1541,x1542,x1543),a33)
% 6.90/6.94 [155]~P1(x1553)+~P4(x1555,a33)+~P4(x1554,a32)+~P4(x1552,f2(a32,a33))+~E(f29(x1554,x1555),x1551)+P4(f11(x1551,x1552,x1553),a33)
% 6.90/6.94 [156]~P1(x1563)+~P4(x1565,a33)+~P4(x1564,a32)+~P4(x1561,f2(a32,a33))+~E(f29(x1564,x1565),x1562)+P4(f12(x1561,x1562,x1563),a32)
% 6.90/6.94 [157]~P1(x1573)+~P4(x1575,a33)+~P4(x1574,a32)+~P4(x1572,f2(a32,a33))+~E(f29(x1574,x1575),x1571)+P4(f12(x1571,x1572,x1573),a32)
% 6.90/6.94 [158]~P1(x1583)+~P4(x1585,a33)+~P4(x1584,a32)+~P4(x1581,f2(a32,a33))+~E(f29(x1584,x1585),x1582)+P4(f13(x1581,x1582,x1583),a33)
% 6.90/6.94 [159]~P1(x1593)+~P4(x1595,a33)+~P4(x1594,a32)+~P4(x1592,f2(a32,a33))+~E(f29(x1594,x1595),x1591)+P4(f13(x1591,x1592,x1593),a33)
% 6.90/6.94 [160]~P1(x1603)+~P4(x1605,a33)+~P4(x1604,a32)+~P4(x1601,f2(a32,a33))+~E(f29(x1604,x1605),x1602)+P4(f14(x1601,x1602,x1603),a32)
% 6.90/6.94 [161]~P1(x1613)+~P4(x1615,a33)+~P4(x1614,a32)+~P4(x1612,f2(a32,a33))+~E(f29(x1614,x1615),x1611)+P4(f14(x1611,x1612,x1613),a32)
% 6.90/6.94 [162]~P1(x1623)+~P4(x1625,a33)+~P4(x1624,a32)+~P4(x1621,f2(a32,a33))+~E(f29(x1624,x1625),x1622)+P4(f15(x1621,x1622,x1623),a33)
% 6.90/6.94 [163]~P1(x1633)+~P4(x1635,a33)+~P4(x1634,a32)+~P4(x1632,f2(a32,a33))+~E(f29(x1634,x1635),x1631)+P4(f15(x1631,x1632,x1633),a33)
% 6.90/6.94 [178]~P1(x1783)+~P4(x1785,a33)+~P4(x1784,a32)+~P4(x1781,f2(a32,a33))+~E(f29(x1784,x1785),x1782)+E(f29(f8(x1781,x1782,x1783),f9(x1781,x1782,x1783)),x1781)
% 6.90/6.94 [179]~P1(x1793)+~P4(x1795,a33)+~P4(x1794,a32)+~P4(x1792,f2(a32,a33))+~E(f29(x1794,x1795),x1791)+E(f29(f8(x1791,x1792,x1793),f9(x1791,x1792,x1793)),x1791)
% 6.90/6.94 [180]~P1(x1803)+~P4(x1805,a33)+~P4(x1804,a32)+~P4(x1802,f2(a32,a33))+~E(f29(x1804,x1805),x1801)+E(f29(f10(x1801,x1802,x1803),f11(x1801,x1802,x1803)),x1802)
% 6.90/6.94 [181]~P1(x1813)+~P4(x1815,a33)+~P4(x1814,a32)+~P4(x1811,f2(a32,a33))+~E(f29(x1814,x1815),x1812)+E(f29(f10(x1811,x1812,x1813),f11(x1811,x1812,x1813)),x1812)
% 6.90/6.94 [188]~P1(x1883)+~P4(x1885,a33)+~P4(x1884,a32)+~P4(x1881,f2(a32,a33))+~E(f29(x1884,x1885),x1882)+E(f29(f12(x1881,x1882,x1883),f13(x1881,x1882,x1883)),f29(x1881,x1882))
% 6.90/6.94 [189]~P1(x1893)+~P4(x1895,a33)+~P4(x1894,a32)+~P4(x1892,f2(a32,a33))+~E(f29(x1894,x1895),x1891)+E(f29(f12(x1891,x1892,x1893),f13(x1891,x1892,x1893)),f29(x1891,x1892))
% 6.90/6.94 [190]~P1(x1903)+~P4(x1905,a33)+~P4(x1904,a32)+~P4(x1901,f2(a32,a33))+~E(f29(x1904,x1905),x1902)+E(f29(f14(x1901,x1902,x1903),f15(x1901,x1902,x1903)),f17(x1903,x1901))
% 6.90/6.94 [191]~P1(x1913)+~P4(x1915,a33)+~P4(x1914,a32)+~P4(x1912,f2(a32,a33))+~E(f29(x1914,x1915),x1911)+E(f29(f14(x1911,x1912,x1913),f15(x1911,x1912,x1913)),f17(x1913,x1911))
% 6.90/6.94 [192]~P1(x1921)+~P4(x1925,a33)+~P4(x1924,a32)+~P4(x1922,f2(a32,a33))+~E(f29(x1924,x1925),x1923)+P4(f17(x1921,f8(x1922,x1923,x1921)),a32)
% 6.90/6.94 [193]~P1(x1931)+~P4(x1935,a33)+~P4(x1934,a32)+~P4(x1933,f2(a32,a33))+~E(f29(x1934,x1935),x1932)+P4(f17(x1931,f8(x1932,x1933,x1931)),a32)
% 6.90/6.94 [194]~P1(x1941)+~P4(x1945,a33)+~P4(x1944,a32)+~P4(x1942,f2(a32,a33))+~E(f29(x1944,x1945),x1943)+P4(f17(x1941,f9(x1942,x1943,x1941)),a33)
% 6.90/6.94 [195]~P1(x1951)+~P4(x1955,a33)+~P4(x1954,a32)+~P4(x1953,f2(a32,a33))+~E(f29(x1954,x1955),x1952)+P4(f17(x1951,f9(x1952,x1953,x1951)),a33)
% 6.90/6.94 [206]~P1(x2063)+~P4(x2065,a33)+~P4(x2064,a32)+~P4(x2061,f2(a32,a33))+~E(f29(x2064,x2065),x2062)+P4(f29(f8(x2061,x2062,x2063),f10(x2061,x2062,x2063)),a32)
% 6.90/6.94 [207]~P1(x2073)+~P4(x2075,a33)+~P4(x2074,a32)+~P4(x2072,f2(a32,a33))+~E(f29(x2074,x2075),x2071)+P4(f29(f8(x2071,x2072,x2073),f10(x2071,x2072,x2073)),a32)
% 6.90/6.94 [208]~P1(x2083)+~P4(x2085,a33)+~P4(x2084,a32)+~P4(x2081,f2(a32,a33))+~E(f29(x2084,x2085),x2082)+P4(f29(f9(x2081,x2082,x2083),f11(x2081,x2082,x2083)),a33)
% 6.90/6.94 [209]~P1(x2093)+~P4(x2095,a33)+~P4(x2094,a32)+~P4(x2092,f2(a32,a33))+~E(f29(x2094,x2095),x2091)+P4(f29(f9(x2091,x2092,x2093),f11(x2091,x2092,x2093)),a33)
% 6.90/6.94 [214]~P1(x2143)+~P4(x2145,a33)+~P4(x2144,a32)+~P4(x2141,f2(a32,a33))+~E(f29(x2144,x2145),x2142)+E(f29(f29(f8(x2141,x2142,x2143),f10(x2141,x2142,x2143)),f29(f9(x2141,x2142,x2143),f11(x2141,x2142,x2143))),f29(x2141,x2142))
% 6.90/6.94 [215]~P1(x2153)+~P4(x2155,a33)+~P4(x2154,a32)+~P4(x2152,f2(a32,a33))+~E(f29(x2154,x2155),x2151)+E(f29(f29(f8(x2151,x2152,x2153),f10(x2151,x2152,x2153)),f29(f9(x2151,x2152,x2153),f11(x2151,x2152,x2153))),f29(x2151,x2152))
% 6.90/6.94 [212]~P2(x2121)+~P2(x2123)+~P2(x2122)+~P4(f27(x2122,x2123,x2121),x2121)+~P4(f27(x2122,x2123,x2121),x2123)+~P4(f27(x2122,x2123,x2121),x2122)+E(x2121,f28(x2122,x2123))
% 6.90/6.94 [124]~P2(x1244)+~P2(x1243)+~P4(x1246,x1244)+~P4(x1245,x1243)+P4(x1241,x1242)+~E(x1242,f2(x1243,x1244))+~E(f29(x1245,x1246),x1241)
% 6.90/6.94 [198]~P2(x1981)+~P2(x1983)+~P2(x1982)+~P4(x1985,x1983)+~P4(x1984,x1982)+~P4(f22(x1982,x1983,x1981),x1981)+E(x1981,f2(x1982,x1983))+~E(f29(x1984,x1985),f22(x1982,x1983,x1981))
% 6.90/6.94 [137]~P1(x1377)+~P4(x1374,a33)+~P4(x1373,a32)+~P4(x1376,a33)+~P4(x1375,a32)+P4(f29(x1371,x1372),f2(a32,a33))+~E(f29(x1373,x1374),x1371)+~E(f29(x1375,x1376),x1372)
% 6.90/6.94 [138]~P1(x1381)+~P4(x1384,a33)+~P4(x1383,a32)+~P4(x1386,a33)+~P4(x1385,a32)+P4(f17(x1381,x1382),f2(a32,a33))+~E(f29(x1383,x1384),x1382)+~E(f29(x1385,x1386),x1387)
% 6.90/6.94 [164]~P1(x1643)+~P4(x1645,a33)+~P4(x1644,a32)+~P4(x1647,a33)+~P4(x1646,a32)+~E(f29(x1644,x1645),x1641)+~E(f29(x1646,x1647),x1642)+P4(f8(x1641,x1642,x1643),a32)
% 6.90/6.94 [165]~P1(x1653)+~P4(x1655,a33)+~P4(x1654,a32)+~P4(x1657,a33)+~P4(x1656,a32)+~E(f29(x1654,x1655),x1651)+~E(f29(x1656,x1657),x1652)+P4(f9(x1651,x1652,x1653),a33)
% 6.90/6.94 [166]~P1(x1663)+~P4(x1665,a33)+~P4(x1664,a32)+~P4(x1667,a33)+~P4(x1666,a32)+~E(f29(x1664,x1665),x1661)+~E(f29(x1666,x1667),x1662)+P4(f10(x1661,x1662,x1663),a32)
% 6.90/6.94 [167]~P1(x1673)+~P4(x1675,a33)+~P4(x1674,a32)+~P4(x1677,a33)+~P4(x1676,a32)+~E(f29(x1674,x1675),x1671)+~E(f29(x1676,x1677),x1672)+P4(f11(x1671,x1672,x1673),a33)
% 6.90/6.94 [168]~P1(x1683)+~P4(x1685,a33)+~P4(x1684,a32)+~P4(x1687,a33)+~P4(x1686,a32)+~E(f29(x1684,x1685),x1681)+~E(f29(x1686,x1687),x1682)+P4(f12(x1681,x1682,x1683),a32)
% 6.90/6.94 [169]~P1(x1693)+~P4(x1695,a33)+~P4(x1694,a32)+~P4(x1697,a33)+~P4(x1696,a32)+~E(f29(x1694,x1695),x1691)+~E(f29(x1696,x1697),x1692)+P4(f13(x1691,x1692,x1693),a33)
% 6.90/6.94 [170]~P1(x1703)+~P4(x1705,a33)+~P4(x1704,a32)+~P4(x1707,a33)+~P4(x1706,a32)+~E(f29(x1704,x1705),x1701)+~E(f29(x1706,x1707),x1702)+P4(f14(x1701,x1702,x1703),a32)
% 6.90/6.94 [171]~P1(x1713)+~P4(x1715,a33)+~P4(x1714,a32)+~P4(x1717,a33)+~P4(x1716,a32)+~E(f29(x1714,x1715),x1711)+~E(f29(x1716,x1717),x1712)+P4(f15(x1711,x1712,x1713),a33)
% 6.90/6.94 [184]~P1(x1843)+~P4(x1845,a33)+~P4(x1844,a32)+~P4(x1847,a33)+~P4(x1846,a32)+~E(f29(x1844,x1845),x1841)+~E(f29(x1846,x1847),x1842)+E(f29(f8(x1841,x1842,x1843),f9(x1841,x1842,x1843)),x1841)
% 6.90/6.94 [185]~P1(x1853)+~P4(x1855,a33)+~P4(x1854,a32)+~P4(x1857,a33)+~P4(x1856,a32)+~E(f29(x1854,x1855),x1851)+~E(f29(x1856,x1857),x1852)+E(f29(f10(x1851,x1852,x1853),f11(x1851,x1852,x1853)),x1852)
% 6.90/6.94 [196]~P1(x1963)+~P4(x1965,a33)+~P4(x1964,a32)+~P4(x1967,a33)+~P4(x1966,a32)+~E(f29(x1964,x1965),x1961)+~E(f29(x1966,x1967),x1962)+E(f29(f12(x1961,x1962,x1963),f13(x1961,x1962,x1963)),f29(x1961,x1962))
% 6.90/6.94 [197]~P1(x1973)+~P4(x1975,a33)+~P4(x1974,a32)+~P4(x1977,a33)+~P4(x1976,a32)+~E(f29(x1974,x1975),x1971)+~E(f29(x1976,x1977),x1972)+E(f29(f14(x1971,x1972,x1973),f15(x1971,x1972,x1973)),f17(x1973,x1971))
% 6.90/6.94 [199]~P1(x1991)+~P4(x1995,a33)+~P4(x1994,a32)+~P4(x1997,a33)+~P4(x1996,a32)+~E(f29(x1994,x1995),x1992)+~E(f29(x1996,x1997),x1993)+P4(f17(x1991,f8(x1992,x1993,x1991)),a32)
% 6.90/6.94 [200]~P1(x2001)+~P4(x2005,a33)+~P4(x2004,a32)+~P4(x2007,a33)+~P4(x2006,a32)+~E(f29(x2004,x2005),x2002)+~E(f29(x2006,x2007),x2003)+P4(f17(x2001,f9(x2002,x2003,x2001)),a33)
% 6.90/6.94 [210]~P1(x2103)+~P4(x2105,a33)+~P4(x2104,a32)+~P4(x2107,a33)+~P4(x2106,a32)+~E(f29(x2104,x2105),x2101)+~E(f29(x2106,x2107),x2102)+P4(f29(f8(x2101,x2102,x2103),f10(x2101,x2102,x2103)),a32)
% 6.90/6.94 [211]~P1(x2113)+~P4(x2115,a33)+~P4(x2114,a32)+~P4(x2117,a33)+~P4(x2116,a32)+~E(f29(x2114,x2115),x2111)+~E(f29(x2116,x2117),x2112)+P4(f29(f9(x2111,x2112,x2113),f11(x2111,x2112,x2113)),a33)
% 6.90/6.94 [217]~P1(x2173)+~P4(x2175,a33)+~P4(x2174,a32)+~P4(x2177,a33)+~P4(x2176,a32)+~E(f29(x2174,x2175),x2171)+~E(f29(x2176,x2177),x2172)+E(f29(f29(f8(x2171,x2172,x2173),f10(x2171,x2172,x2173)),f29(f9(x2171,x2172,x2173),f11(x2171,x2172,x2173))),f29(x2171,x2172))
% 6.90/6.94 %EqnAxiom
% 6.90/6.94 [1]E(x11,x11)
% 6.90/6.94 [2]E(x22,x21)+~E(x21,x22)
% 6.90/6.94 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 6.90/6.94 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 6.90/6.94 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 6.90/6.94 [6]~E(x61,x62)+E(f29(x61,x63),f29(x62,x63))
% 6.90/6.94 [7]~E(x71,x72)+E(f29(x73,x71),f29(x73,x72))
% 6.90/6.94 [8]~E(x81,x82)+E(f8(x81,x83,x84),f8(x82,x83,x84))
% 6.90/6.94 [9]~E(x91,x92)+E(f8(x93,x91,x94),f8(x93,x92,x94))
% 6.90/6.94 [10]~E(x101,x102)+E(f8(x103,x104,x101),f8(x103,x104,x102))
% 6.90/6.94 [11]~E(x111,x112)+E(f30(x111),f30(x112))
% 6.90/6.94 [12]~E(x121,x122)+E(f17(x121,x123),f17(x122,x123))
% 6.90/6.94 [13]~E(x131,x132)+E(f17(x133,x131),f17(x133,x132))
% 6.90/6.94 [14]~E(x141,x142)+E(f12(x141,x143,x144),f12(x142,x143,x144))
% 6.90/6.94 [15]~E(x151,x152)+E(f12(x153,x151,x154),f12(x153,x152,x154))
% 6.90/6.94 [16]~E(x161,x162)+E(f12(x163,x164,x161),f12(x163,x164,x162))
% 6.90/6.94 [17]~E(x171,x172)+E(f22(x171,x173,x174),f22(x172,x173,x174))
% 6.90/6.94 [18]~E(x181,x182)+E(f22(x183,x181,x184),f22(x183,x182,x184))
% 6.90/6.94 [19]~E(x191,x192)+E(f22(x193,x194,x191),f22(x193,x194,x192))
% 6.90/6.94 [20]~E(x201,x202)+E(f27(x201,x203,x204),f27(x202,x203,x204))
% 6.90/6.94 [21]~E(x211,x212)+E(f27(x213,x211,x214),f27(x213,x212,x214))
% 6.90/6.94 [22]~E(x221,x222)+E(f27(x223,x224,x221),f27(x223,x224,x222))
% 6.90/6.94 [23]~E(x231,x232)+E(f11(x231,x233,x234),f11(x232,x233,x234))
% 6.90/6.94 [24]~E(x241,x242)+E(f11(x243,x241,x244),f11(x243,x242,x244))
% 6.90/6.94 [25]~E(x251,x252)+E(f11(x253,x254,x251),f11(x253,x254,x252))
% 6.90/6.94 [26]~E(x261,x262)+E(f18(x261),f18(x262))
% 6.90/6.94 [27]~E(x271,x272)+E(f13(x271,x273,x274),f13(x272,x273,x274))
% 6.90/6.94 [28]~E(x281,x282)+E(f13(x283,x281,x284),f13(x283,x282,x284))
% 6.90/6.94 [29]~E(x291,x292)+E(f13(x293,x294,x291),f13(x293,x294,x292))
% 6.90/6.94 [30]~E(x301,x302)+E(f23(x301,x303,x304,x305),f23(x302,x303,x304,x305))
% 6.90/6.94 [31]~E(x311,x312)+E(f23(x313,x311,x314,x315),f23(x313,x312,x314,x315))
% 6.90/6.94 [32]~E(x321,x322)+E(f23(x323,x324,x321,x325),f23(x323,x324,x322,x325))
% 6.90/6.94 [33]~E(x331,x332)+E(f23(x333,x334,x335,x331),f23(x333,x334,x335,x332))
% 6.90/6.94 [34]~E(x341,x342)+E(f10(x341,x343,x344),f10(x342,x343,x344))
% 6.90/6.94 [35]~E(x351,x352)+E(f10(x353,x351,x354),f10(x353,x352,x354))
% 6.90/6.94 [36]~E(x361,x362)+E(f10(x363,x364,x361),f10(x363,x364,x362))
% 6.90/6.94 [37]~E(x371,x372)+E(f9(x371,x373,x374),f9(x372,x373,x374))
% 6.90/6.94 [38]~E(x381,x382)+E(f9(x383,x381,x384),f9(x383,x382,x384))
% 6.90/6.94 [39]~E(x391,x392)+E(f9(x393,x394,x391),f9(x393,x394,x392))
% 6.90/6.94 [40]~E(x401,x402)+E(f14(x401,x403,x404),f14(x402,x403,x404))
% 6.90/6.94 [41]~E(x411,x412)+E(f14(x413,x411,x414),f14(x413,x412,x414))
% 6.90/6.94 [42]~E(x421,x422)+E(f14(x423,x424,x421),f14(x423,x424,x422))
% 6.90/6.94 [43]~E(x431,x432)+E(f28(x431,x433),f28(x432,x433))
% 6.90/6.94 [44]~E(x441,x442)+E(f28(x443,x441),f28(x443,x442))
% 6.90/6.94 [45]~E(x451,x452)+E(f15(x451,x453,x454),f15(x452,x453,x454))
% 6.90/6.94 [46]~E(x461,x462)+E(f15(x463,x461,x464),f15(x463,x462,x464))
% 6.90/6.94 [47]~E(x471,x472)+E(f15(x473,x474,x471),f15(x473,x474,x472))
% 6.90/6.94 [48]~E(x481,x482)+E(f26(x481,x483,x484),f26(x482,x483,x484))
% 6.90/6.94 [49]~E(x491,x492)+E(f26(x493,x491,x494),f26(x493,x492,x494))
% 6.90/6.94 [50]~E(x501,x502)+E(f26(x503,x504,x501),f26(x503,x504,x502))
% 6.90/6.94 [51]~E(x511,x512)+E(f25(x511,x513,x514),f25(x512,x513,x514))
% 6.90/6.94 [52]~E(x521,x522)+E(f25(x523,x521,x524),f25(x523,x522,x524))
% 6.90/6.94 [53]~E(x531,x532)+E(f25(x533,x534,x531),f25(x533,x534,x532))
% 6.90/6.94 [54]~E(x541,x542)+E(f24(x541,x543,x544,x545),f24(x542,x543,x544,x545))
% 6.90/6.94 [55]~E(x551,x552)+E(f24(x553,x551,x554,x555),f24(x553,x552,x554,x555))
% 6.90/6.94 [56]~E(x561,x562)+E(f24(x563,x564,x561,x565),f24(x563,x564,x562,x565))
% 6.90/6.94 [57]~E(x571,x572)+E(f24(x573,x574,x575,x571),f24(x573,x574,x575,x572))
% 6.90/6.94 [58]~E(x581,x582)+E(f7(x581,x583),f7(x582,x583))
% 6.90/6.94 [59]~E(x591,x592)+E(f7(x593,x591),f7(x593,x592))
% 6.90/6.94 [60]~E(x601,x602)+E(f4(x601),f4(x602))
% 6.90/6.94 [61]~E(x611,x612)+E(f5(x611),f5(x612))
% 6.90/6.94 [62]~E(x621,x622)+E(f21(x621,x623),f21(x622,x623))
% 6.90/6.94 [63]~E(x631,x632)+E(f21(x633,x631),f21(x633,x632))
% 6.90/6.94 [64]~E(x641,x642)+E(f6(x641),f6(x642))
% 6.90/6.94 [65]~E(x651,x652)+E(f16(x651),f16(x652))
% 6.90/6.94 [66]~P1(x661)+P1(x662)+~E(x661,x662)
% 6.90/6.94 [67]P4(x672,x673)+~E(x671,x672)+~P4(x671,x673)
% 6.90/6.94 [68]P4(x683,x682)+~E(x681,x682)+~P4(x683,x681)
% 6.90/6.94 [69]~P2(x691)+P2(x692)+~E(x691,x692)
% 6.90/6.94 [70]~P3(x701)+P3(x702)+~E(x701,x702)
% 6.90/6.94
% 6.90/6.94 %-------------------------------------------
% 6.90/6.94 cnf(218,plain,
% 6.90/6.94 (P4(f17(a1,a3),f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[71,78,132])).
% 6.90/6.94 cnf(219,plain,
% 6.90/6.94 (P4(f29(a3,a3),f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[71,78,132,131])).
% 6.90/6.94 cnf(220,plain,
% 6.90/6.94 (~E(a31,a1)),
% 6.90/6.94 inference(scs_inference,[],[71,79,78,132,131,2])).
% 6.90/6.94 cnf(221,plain,
% 6.90/6.94 (E(f17(a1,a31),a1)),
% 6.90/6.94 inference(scs_inference,[],[71,79,78,132,131,2,88])).
% 6.90/6.94 cnf(223,plain,
% 6.90/6.94 (E(f29(a1,a1),a1)),
% 6.90/6.94 inference(scs_inference,[],[71,79,78,132,131,2,88,87])).
% 6.90/6.94 cnf(225,plain,
% 6.90/6.94 (E(f17(a31,a1),a1)),
% 6.90/6.94 inference(scs_inference,[],[71,79,78,132,131,2,88,87,86])).
% 6.90/6.94 cnf(231,plain,
% 6.90/6.94 (P1(f30(a1))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82])).
% 6.90/6.94 cnf(233,plain,
% 6.90/6.94 (P4(f16(a3),a33)),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107])).
% 6.90/6.94 cnf(235,plain,
% 6.90/6.94 (P4(f6(a3),a32)),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106])).
% 6.90/6.94 cnf(245,plain,
% 6.90/6.94 (E(f24(x2451,x2452,x2453,f17(a1,a31)),f24(x2451,x2452,x2453,a1))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57])).
% 6.90/6.94 cnf(246,plain,
% 6.90/6.94 (E(f24(x2461,x2462,f17(a1,a31),x2463),f24(x2461,x2462,a1,x2463))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56])).
% 6.90/6.94 cnf(247,plain,
% 6.90/6.94 (E(f24(x2471,f17(a1,a31),x2472,x2473),f24(x2471,a1,x2472,x2473))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55])).
% 6.90/6.94 cnf(248,plain,
% 6.90/6.94 (E(f24(f17(a1,a31),x2481,x2482,x2483),f24(a1,x2481,x2482,x2483))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54])).
% 6.90/6.94 cnf(258,plain,
% 6.90/6.94 (E(f28(x2581,f17(a1,a31)),f28(x2581,a1))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44])).
% 6.90/6.94 cnf(269,plain,
% 6.90/6.94 (E(f23(x2691,x2692,x2693,f17(a1,a31)),f23(x2691,x2692,x2693,a1))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33])).
% 6.90/6.94 cnf(270,plain,
% 6.90/6.94 (E(f23(x2701,x2702,f17(a1,a31),x2703),f23(x2701,x2702,a1,x2703))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32])).
% 6.90/6.94 cnf(271,plain,
% 6.90/6.94 (E(f23(x2711,f17(a1,a31),x2712,x2713),f23(x2711,a1,x2712,x2713))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31])).
% 6.90/6.94 cnf(272,plain,
% 6.90/6.94 (E(f23(f17(a1,a31),x2721,x2722,x2723),f23(a1,x2721,x2722,x2723))),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30])).
% 6.90/6.94 cnf(307,plain,
% 6.90/6.94 (E(f29(f6(a3),f16(a3)),a3)),
% 6.90/6.94 inference(scs_inference,[],[71,72,79,78,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,91,90,89,113])).
% 6.90/6.94 cnf(311,plain,
% 6.90/6.94 (~E(a1,f29(a1,a31))),
% 6.90/6.94 inference(scs_inference,[],[77,71,72,75,79,78,80,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,91,90,89,113,70,69,3])).
% 6.90/6.94 cnf(312,plain,
% 6.90/6.94 (P1(a3)),
% 6.90/6.94 inference(scs_inference,[],[77,71,72,75,79,78,80,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,91,90,89,113,70,69,3,94])).
% 6.90/6.94 cnf(314,plain,
% 6.90/6.94 (P4(f29(f16(a3),f16(a3)),a33)),
% 6.90/6.94 inference(scs_inference,[],[77,71,72,75,79,78,80,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,91,90,89,113,70,69,3,94,112])).
% 6.90/6.94 cnf(316,plain,
% 6.90/6.94 (P4(f29(f6(a3),f6(a3)),a32)),
% 6.90/6.94 inference(scs_inference,[],[77,71,72,75,79,78,80,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,91,90,89,113,70,69,3,94,112,111])).
% 6.90/6.94 cnf(318,plain,
% 6.90/6.94 (P4(f17(a1,f16(a3)),a33)),
% 6.90/6.94 inference(scs_inference,[],[77,71,72,75,79,78,80,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,91,90,89,113,70,69,3,94,112,111,105])).
% 6.90/6.94 cnf(322,plain,
% 6.90/6.94 (P1(f17(a1,a1))),
% 6.90/6.94 inference(scs_inference,[],[77,71,72,75,79,78,80,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,91,90,89,113,70,69,3,94,112,111,105,104,103])).
% 6.90/6.94 cnf(324,plain,
% 6.90/6.94 (P1(f29(a1,a1))),
% 6.90/6.94 inference(scs_inference,[],[77,71,72,75,79,78,80,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,91,90,89,113,70,69,3,94,112,111,105,104,103,102])).
% 6.90/6.94 cnf(326,plain,
% 6.90/6.94 (P4(f18(f2(a32,a33)),f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[77,71,72,75,79,78,80,132,131,2,88,87,86,85,84,82,107,106,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,91,90,89,113,70,69,3,94,112,111,105,104,103,102,93])).
% 6.90/6.94 cnf(467,plain,
% 6.90/6.94 (P4(f29(x4671,x4672),f2(a32,a33))+~P4(x4672,f2(a32,a33))+~P4(x4671,f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[72,131])).
% 6.90/6.94 cnf(468,plain,
% 6.90/6.94 (~P1(x4681)+P4(f17(x4681,x4682),f2(a32,a33))+~P4(x4682,f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[78,132])).
% 6.90/6.94 cnf(469,plain,
% 6.90/6.94 (P4(f29(x4691,x4692),f2(a32,a33))+~E(f29(x4693,x4694),x4692)+~P4(x4694,a33)+~P4(x4693,a32)+~P4(x4691,f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[72,133])).
% 6.90/6.94 cnf(470,plain,
% 6.90/6.94 (P4(f29(x4701,x4702),f2(a32,a33))+~E(f29(x4703,x4704),x4701)+~P4(x4704,a33)+~P4(x4703,a32)+~P4(x4702,f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[72,134])).
% 6.90/6.94 cnf(471,plain,
% 6.90/6.94 (~P1(x4711)+~E(f29(x4712,x4713),x4714)+~P4(x4713,a33)+P4(f17(x4711,x4714),f2(a32,a33))+~P4(x4712,a32)),
% 6.90/6.94 inference(scs_inference,[],[78,135])).
% 6.90/6.94 cnf(472,plain,
% 6.90/6.94 (~E(f29(x4721,x4722),x4723)+~E(f29(x4724,x4725),x4726)+~P4(x4725,a33)+~P4(x4724,a32)+P4(f29(x4726,x4723),f2(a32,a33))+~P4(x4722,a33)+~P4(x4721,a32)),
% 6.90/6.94 inference(scs_inference,[],[72,137])).
% 6.90/6.94 cnf(473,plain,
% 6.90/6.94 (P4(f17(a31,a3),f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[72,78,468])).
% 6.90/6.94 cnf(477,plain,
% 6.90/6.94 (P4(f15(a3,a3,a31),a33)),
% 6.90/6.94 inference(scs_inference,[],[72,78,326,307,233,235,468,467,171])).
% 6.90/6.94 cnf(479,plain,
% 6.90/6.94 (P4(f14(a3,a3,a31),a32)),
% 6.90/6.94 inference(scs_inference,[],[72,78,326,307,233,235,468,467,171,170])).
% 6.90/6.94 cnf(505,plain,
% 6.90/6.94 (E(f29(f14(a3,a3,a31),f15(a3,a3,a31)),f17(a31,a3))),
% 6.90/6.94 inference(scs_inference,[],[72,78,326,307,233,235,468,467,171,170,169,168,167,166,165,164,200,199,211,210,185,184,197])).
% 6.90/6.94 cnf(523,plain,
% 6.90/6.94 (P1(f17(a31,a31))),
% 6.90/6.94 inference(scs_inference,[],[77,72,78,326,322,314,316,307,233,235,468,467,171,170,169,168,167,166,165,164,200,199,211,210,185,184,197,196,217,83,94,112,111,105,104,103])).
% 6.90/6.94 cnf(541,plain,
% 6.90/6.94 (~E(f17(a31,a31),a1)),
% 6.90/6.94 inference(scs_inference,[],[77,72,76,78,326,219,322,314,316,318,307,233,235,220,468,467,171,170,169,168,167,166,165,164,200,199,211,210,185,184,197,196,217,83,94,112,111,105,104,103,115,145,144,143,140,187,127,126,96])).
% 6.90/6.94 cnf(543,plain,
% 6.90/6.94 (E(f29(f14(f29(a3,a3),f29(a3,a3),a31),f15(f29(a3,a3),f29(a3,a3),a31)),f17(a31,f29(a3,a3)))),
% 6.90/6.94 inference(scs_inference,[],[77,72,76,78,326,219,322,314,316,318,307,233,235,220,468,467,171,170,169,168,167,166,165,164,200,199,211,210,185,184,197,196,217,83,94,112,111,105,104,103,115,145,144,143,140,187,127,126,96,183])).
% 6.90/6.94 cnf(546,plain,
% 6.90/6.94 (E(f23(x5461,x5462,x5463,f17(a1,a31)),f23(x5461,x5462,x5463,a1))),
% 6.90/6.94 inference(rename_variables,[],[269])).
% 6.90/6.94 cnf(548,plain,
% 6.90/6.94 (P1(f29(a31,a31))),
% 6.90/6.94 inference(scs_inference,[],[77,72,76,78,326,219,269,270,322,314,316,318,307,233,235,220,468,467,171,170,169,168,167,166,165,164,200,199,211,210,185,184,197,196,217,83,94,112,111,105,104,103,115,145,144,143,140,187,127,126,96,183,3,102])).
% 6.90/6.94 cnf(568,plain,
% 6.90/6.94 (E(f29(f12(f29(a3,a3),f29(a3,a3),a31),f13(f29(a3,a3),f29(a3,a3),a31)),f29(f29(a3,a3),f29(a3,a3)))),
% 6.90/6.94 inference(scs_inference,[],[77,72,76,78,326,219,269,270,322,314,316,318,307,233,235,220,468,467,171,170,169,168,167,166,165,164,200,199,211,210,185,184,197,196,217,83,94,112,111,105,104,103,115,145,144,143,140,187,127,126,96,183,3,102,147,146,142,141,186,120,119,205,204,182])).
% 6.90/6.94 cnf(570,plain,
% 6.90/6.94 (E(f29(f10(f29(a3,a3),f29(a3,a3),a31),f11(f29(a3,a3),f29(a3,a3),a31)),f29(a3,a3))),
% 6.90/6.94 inference(scs_inference,[],[77,72,76,78,326,219,269,270,322,314,316,318,307,233,235,220,468,467,171,170,169,168,167,166,165,164,200,199,211,210,185,184,197,196,217,83,94,112,111,105,104,103,115,145,144,143,140,187,127,126,96,183,3,102,147,146,142,141,186,120,119,205,204,182,177])).
% 6.90/6.94 cnf(574,plain,
% 6.90/6.94 (E(f23(x5741,x5742,x5743,a1),f23(x5741,x5742,x5743,f17(a1,a31)))),
% 6.90/6.94 inference(scs_inference,[],[77,72,76,78,326,219,269,546,270,322,314,316,318,307,233,235,220,468,467,171,170,169,168,167,166,165,164,200,199,211,210,185,184,197,196,217,83,94,112,111,105,104,103,115,145,144,143,140,187,127,126,96,183,3,102,147,146,142,141,186,120,119,205,204,182,177,176,2])).
% 6.90/6.94 cnf(580,plain,
% 6.90/6.94 (~E(a31,x5801)+E(f29(f29(f8(a3,a3,a1),f10(a3,a3,a1)),f29(f9(a3,a3,a1),f11(a3,a3,a1))),f29(a3,a3))),
% 6.90/6.94 inference(scs_inference,[],[77,72,76,78,71,326,219,269,546,270,322,314,316,318,307,233,235,220,468,467,171,170,169,168,167,166,165,164,200,199,211,210,185,184,197,196,217,83,94,112,111,105,104,103,115,145,144,143,140,187,127,126,96,183,3,102,147,146,142,141,186,120,119,205,204,182,177,176,2,66,98,97,213])).
% 6.90/6.94 cnf(603,plain,
% 6.90/6.94 (~P4(x6033,f2(a32,a33))+P4(f29(x6033,f29(x6031,x6032)),f2(a32,a33))+~P4(x6031,a32)+~P4(x6032,a33)),
% 6.90/6.94 inference(equality_inference,[],[469])).
% 6.90/6.94 cnf(604,plain,
% 6.90/6.94 (~P4(x6043,f2(a32,a33))+P4(f29(f29(x6041,x6042),x6043),f2(a32,a33))+~P4(x6041,a32)+~P4(x6042,a33)),
% 6.90/6.94 inference(equality_inference,[],[470])).
% 6.90/6.94 cnf(605,plain,
% 6.90/6.94 (~P1(x6051)+P4(f17(x6051,f29(x6052,x6053)),f2(a32,a33))+~P4(x6052,a32)+~P4(x6053,a33)),
% 6.90/6.94 inference(equality_inference,[],[471])).
% 6.90/6.94 cnf(609,plain,
% 6.90/6.94 (E(f29(f29(f8(a3,a3,a1),f10(a3,a3,a1)),f29(f9(a3,a3,a1),f11(a3,a3,a1))),f29(a3,a3))),
% 6.90/6.94 inference(equality_inference,[],[580])).
% 6.90/6.94 cnf(620,plain,
% 6.90/6.94 (~E(f17(f17(a31,a31),f17(a31,a31)),a1)),
% 6.90/6.94 inference(scs_inference,[],[218,71,523,541,467,126,96])).
% 6.90/6.94 cnf(622,plain,
% 6.90/6.94 (E(f29(f14(a3,a3,a1),f15(a3,a3,a1)),f17(a1,a3))),
% 6.90/6.94 inference(scs_inference,[],[78,218,71,523,541,467,126,96,183])).
% 6.90/6.94 cnf(628,plain,
% 6.90/6.94 (P4(f13(a3,a3,a1),a33)),
% 6.90/6.94 inference(scs_inference,[],[78,218,71,523,541,467,126,96,183,119,127,145])).
% 6.90/6.94 cnf(642,plain,
% 6.90/6.94 (P4(f29(f8(a3,a3,a1),f10(a3,a3,a1)),a32)),
% 6.90/6.94 inference(scs_inference,[],[78,218,71,523,541,467,126,96,183,119,127,145,144,143,142,141,140,187,204])).
% 6.90/6.94 cnf(653,plain,
% 6.90/6.94 (P4(f15(a3,a3,a1),a33)),
% 6.90/6.94 inference(scs_inference,[],[78,218,71,271,272,523,541,467,126,96,183,119,127,145,144,143,142,141,140,187,204,182,177,3,120,147])).
% 6.90/6.94 cnf(655,plain,
% 6.90/6.94 (P4(f14(a3,a3,a1),a32)),
% 6.90/6.94 inference(scs_inference,[],[78,218,71,271,272,523,541,467,126,96,183,119,127,145,144,143,142,141,140,187,204,182,177,3,120,147,146])).
% 6.90/6.94 cnf(659,plain,
% 6.90/6.94 (P4(f29(f9(a3,a3,a1),f11(a3,a3,a1)),a33)),
% 6.90/6.94 inference(scs_inference,[],[78,218,71,271,272,523,541,467,126,96,183,119,127,145,144,143,142,141,140,187,204,182,177,3,120,147,146,186,205])).
% 6.90/6.94 cnf(688,plain,
% 6.90/6.94 (P4(f17(a31,f17(a1,a3)),f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,604,138])).
% 6.90/6.94 cnf(690,plain,
% 6.90/6.94 (P4(f12(f29(a3,a3),f29(a3,a3),a31),a32)),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,609,604,138,168])).
% 6.90/6.94 cnf(692,plain,
% 6.90/6.94 (P4(f15(f29(a3,a3),f29(a3,a3),a31),a33)),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,609,604,138,168,171])).
% 6.90/6.94 cnf(694,plain,
% 6.90/6.94 (P4(f14(f29(a3,a3),f29(a3,a3),a31),a32)),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,609,604,138,168,171,170])).
% 6.90/6.94 cnf(696,plain,
% 6.90/6.94 (P4(f13(f29(a3,a3),f29(a3,a3),a31),a33)),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,609,604,138,168,171,170,169])).
% 6.90/6.94 cnf(698,plain,
% 6.90/6.94 (P4(f11(f29(a3,a3),f29(a3,a3),a31),a33)),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,609,604,138,168,171,170,169,167])).
% 6.90/6.94 cnf(700,plain,
% 6.90/6.94 (P4(f10(f29(a3,a3),f29(a3,a3),a31),a32)),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,609,604,138,168,171,170,169,167,166])).
% 6.90/6.94 cnf(702,plain,
% 6.90/6.94 (P4(f9(f29(a3,a3),f29(a3,a3),a31),a33)),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,609,604,138,168,171,170,169,167,166,165])).
% 6.90/6.94 cnf(706,plain,
% 6.90/6.94 (~E(f17(f17(a31,a31),f17(a31,a31)),f17(a1,a31))),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,221,620,609,604,138,168,171,170,169,167,166,165,164,3])).
% 6.90/6.94 cnf(707,plain,
% 6.90/6.94 (E(f17(a1,a3),f29(f14(a3,a3,a1),f15(a3,a3,a1)))),
% 6.90/6.94 inference(scs_inference,[],[218,72,622,642,659,653,655,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2])).
% 6.90/6.94 cnf(721,plain,
% 6.90/6.94 (P4(f11(a3,f29(a3,a3),a31),a33)),
% 6.90/6.94 inference(scs_inference,[],[78,218,74,72,622,642,659,628,653,655,258,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154])).
% 6.90/6.94 cnf(723,plain,
% 6.90/6.94 (P4(f9(f29(a3,a3),a3,a31),a33)),
% 6.90/6.94 inference(scs_inference,[],[78,218,74,72,622,642,659,628,653,655,258,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154,151])).
% 6.90/6.94 cnf(745,plain,
% 6.90/6.94 (E(f29(f10(f29(a3,a3),a3,a31),f11(f29(a3,a3),a3,a31)),a3)),
% 6.90/6.94 inference(scs_inference,[],[78,218,75,74,72,622,642,659,628,653,655,258,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154,151,150,148,194,192,208,207,191,190,189,110,180])).
% 6.90/6.94 cnf(757,plain,
% 6.90/6.94 (P4(f11(f29(a3,a3),a3,a31),a33)),
% 6.90/6.94 inference(scs_inference,[],[78,218,75,74,72,622,642,659,628,653,655,258,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154,151,150,148,194,192,208,207,191,190,189,110,180,163,162,161,158,156,155])).
% 6.90/6.94 cnf(759,plain,
% 6.90/6.94 (P4(f10(f29(a3,a3),a3,a31),a32)),
% 6.90/6.94 inference(scs_inference,[],[78,218,75,74,72,622,642,659,628,653,655,258,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154,151,150,148,194,192,208,207,191,190,189,110,180,163,162,161,158,156,155,153])).
% 6.90/6.94 cnf(761,plain,
% 6.90/6.94 (P4(f10(a3,f29(a3,a3),a31),a32)),
% 6.90/6.94 inference(scs_inference,[],[78,218,75,74,72,622,642,659,628,653,655,258,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154,151,150,148,194,192,208,207,191,190,189,110,180,163,162,161,158,156,155,153,152])).
% 6.90/6.94 cnf(763,plain,
% 6.90/6.94 (P4(f8(f29(a3,a3),a3,a31),a32)),
% 6.90/6.94 inference(scs_inference,[],[78,218,75,74,72,622,642,659,628,653,655,258,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154,151,150,148,194,192,208,207,191,190,189,110,180,163,162,161,158,156,155,153,152,149])).
% 6.90/6.94 cnf(773,plain,
% 6.90/6.94 (E(f29(f10(a3,f29(a3,a3),a31),f11(a3,f29(a3,a3),a31)),f29(a3,a3))),
% 6.90/6.94 inference(scs_inference,[],[78,218,75,74,72,622,642,659,628,653,655,258,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154,151,150,148,194,192,208,207,191,190,189,110,180,163,162,161,158,156,155,153,152,149,195,193,209,206,181])).
% 6.90/6.94 cnf(775,plain,
% 6.90/6.94 (E(f29(f8(f29(a3,a3),a3,a31),f9(f29(a3,a3),a3,a31)),f29(a3,a3))),
% 6.90/6.94 inference(scs_inference,[],[78,218,75,74,72,622,642,659,628,653,655,258,221,620,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154,151,150,148,194,192,208,207,191,190,189,110,180,163,162,161,158,156,155,153,152,149,195,193,209,206,181,179])).
% 6.90/6.94 cnf(779,plain,
% 6.90/6.94 (P4(f29(f17(a31,a3),f17(a31,a3)),f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[78,218,75,74,72,622,642,659,628,653,655,505,258,221,477,620,479,609,604,138,168,171,170,169,167,166,165,164,3,2,605,603,100,160,159,157,154,151,150,148,194,192,208,207,191,190,189,110,180,163,162,161,158,156,155,153,152,149,195,193,209,206,181,179,188,472])).
% 6.90/6.94 cnf(800,plain,
% 6.90/6.94 (P4(f29(f17(a1,a3),a3),f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[218,759,745,757,604,469])).
% 6.90/6.94 cnf(810,plain,
% 6.90/6.94 (P4(f9(f17(a1,a3),a3,a1),a33)),
% 6.90/6.94 inference(scs_inference,[],[218,71,759,745,757,604,469,160,157,154,151,150])).
% 6.90/6.94 cnf(812,plain,
% 6.90/6.94 (P4(f8(f17(a1,a3),a3,a1),a32)),
% 6.90/6.94 inference(scs_inference,[],[218,71,759,745,757,604,469,160,157,154,151,150,148])).
% 6.90/6.94 cnf(844,plain,
% 6.90/6.94 (~E(f17(f17(a31,a31),a31),a1)),
% 6.90/6.94 inference(scs_inference,[],[218,75,71,72,775,759,745,757,763,723,220,523,541,604,469,160,157,154,151,150,148,194,138,200,199,211,184,197,196,180,110,179,191,190,189,188,96])).
% 6.90/6.94 cnf(866,plain,
% 6.90/6.94 (E(f29(f8(f17(a1,a3),a3,a1),f9(f17(a1,a3),a3,a1)),f17(a1,a3))),
% 6.90/6.94 inference(scs_inference,[],[218,75,71,72,775,759,745,757,763,723,220,523,541,604,469,160,157,154,151,150,148,194,138,200,199,211,184,197,196,180,110,179,191,190,189,188,96,161,159,158,153,149,195,192,208,207,206,178])).
% 6.90/6.94 cnf(894,plain,
% 6.90/6.94 (E(f29(f10(a3,f29(a3,a3),a1),f11(a3,f29(a3,a3),a1)),f29(a3,a3))),
% 6.90/6.94 inference(scs_inference,[],[80,218,75,71,72,775,706,568,248,247,759,745,757,763,723,690,696,220,523,541,77,604,469,160,157,154,151,150,148,194,138,200,199,211,184,197,196,180,110,179,191,190,189,188,96,161,159,158,153,149,195,192,208,207,206,178,181,163,162,156,155,152,193,209,472,3,2,101,210,185])).
% 6.90/6.94 cnf(899,plain,
% 6.90/6.94 (P4(f29(a3,f17(a1,a3)),f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[80,218,75,71,72,775,706,707,568,248,247,759,745,757,763,723,690,696,324,220,523,541,77,604,469,160,157,154,151,150,148,194,138,200,199,211,184,197,196,180,110,179,191,190,189,188,96,161,159,158,153,149,195,192,208,207,206,178,181,163,162,156,155,152,193,209,472,3,2,101,210,185,67,471,470])).
% 6.90/6.94 cnf(907,plain,
% 6.90/6.94 (P4(f11(a3,f29(a3,a3),a1),a33)),
% 6.90/6.94 inference(scs_inference,[],[80,218,75,71,72,775,706,707,568,248,247,759,745,757,763,723,690,696,324,220,523,541,77,604,469,160,157,154,151,150,148,194,138,200,199,211,184,197,196,180,110,179,191,190,189,188,96,161,159,158,153,149,195,192,208,207,206,178,181,163,162,156,155,152,193,209,472,3,2,101,210,185,67,471,470,168,171,170,167])).
% 6.90/6.94 cnf(909,plain,
% 6.90/6.94 (P4(f10(a3,f29(a3,a3),a1),a32)),
% 6.90/6.94 inference(scs_inference,[],[80,218,75,71,72,775,706,707,568,248,247,759,745,757,763,723,690,696,324,220,523,541,77,604,469,160,157,154,151,150,148,194,138,200,199,211,184,197,196,180,110,179,191,190,189,188,96,161,159,158,153,149,195,192,208,207,206,178,181,163,162,156,155,152,193,209,472,3,2,101,210,185,67,471,470,168,171,170,167,166])).
% 6.90/6.94 cnf(941,plain,
% 6.90/6.94 (E(f17(f29(a31,a31),a31),f29(a31,a31))),
% 6.90/6.94 inference(scs_inference,[],[548,88])).
% 6.90/6.94 cnf(947,plain,
% 6.90/6.94 (P1(f30(a31))),
% 6.90/6.94 inference(scs_inference,[],[72,548,88,87,84,82])).
% 6.90/6.94 cnf(980,plain,
% 6.90/6.94 (~E(a33,f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[80,76,72,574,548,88,87,84,82,63,62,58,57,56,54,52,43,42,41,40,36,35,32,30,29,28,26,25,24,23,22,21,18,17,16,8,7,4,89,70])).
% 6.90/6.94 cnf(983,plain,
% 6.90/6.94 (P4(f12(f29(a3,a3),f17(a1,a3),a31),a32)),
% 6.90/6.94 inference(scs_inference,[],[80,76,218,72,773,574,721,761,548,88,87,84,82,63,62,58,57,56,54,52,43,42,41,40,36,35,32,30,29,28,26,25,24,23,22,21,18,17,16,8,7,4,89,70,160,157])).
% 6.90/6.94 cnf(997,plain,
% 6.90/6.94 (E(f29(f12(f29(a3,a3),f17(a1,a3),a31),f13(f29(a3,a3),f17(a1,a3),a31)),f29(f29(a3,a3),f17(a1,a3)))),
% 6.90/6.94 inference(scs_inference,[],[80,76,218,72,773,574,721,761,548,88,87,84,82,63,62,58,57,56,54,52,43,42,41,40,36,35,32,30,29,28,26,25,24,23,22,21,18,17,16,8,7,4,89,70,160,157,154,150,148,179,191,190,189])).
% 6.90/6.94 cnf(1001,plain,
% 6.90/6.94 (P4(f29(f17(a1,a3),f29(a3,a3)),f2(a32,a33))),
% 6.90/6.94 inference(scs_inference,[],[80,76,219,218,72,773,866,574,812,810,721,761,548,88,87,84,82,63,62,58,57,56,54,52,43,42,41,40,36,35,32,30,29,28,26,25,24,23,22,21,18,17,16,8,7,4,89,70,160,157,154,150,148,179,191,190,189,188,470])).
% 6.90/6.94 cnf(1021,plain,
% 6.90/6.94 (P4(f13(f29(a3,a3),f17(a1,a3),a31),a33)),
% 6.90/6.94 inference(scs_inference,[],[80,76,219,218,72,773,866,574,812,810,721,761,548,88,87,84,82,63,62,58,57,56,54,52,43,42,41,40,36,35,32,30,29,28,26,25,24,23,22,21,18,17,16,8,7,4,89,70,160,157,154,150,148,179,191,190,189,188,470,151,195,194,192,206,180,178,162,161,159])).
% 6.90/6.94 cnf(1047,plain,
% 6.90/6.94 (E(f29(a3,a3),f29(f10(a3,f29(a3,a3),a31),f11(a3,f29(a3,a3),a31)))),
% 6.90/6.95 inference(scs_inference,[],[80,76,219,218,72,773,866,574,812,810,721,761,548,88,87,84,82,63,62,58,57,56,54,52,43,42,41,40,36,35,32,30,29,28,26,25,24,23,22,21,18,17,16,8,7,4,89,70,160,157,154,150,148,179,191,190,189,188,470,151,195,194,192,206,180,178,162,161,159,158,155,153,152,149,208,207,181,163,156,193,209,2])).
% 6.90/6.95 cnf(1051,plain,
% 6.90/6.95 (~P4(f29(f18(f2(a32,a33)),f5(f2(a32,a33))),f2(a32,a33))+P1(f4(f2(a32,a33)))),
% 6.90/6.95 inference(scs_inference,[],[80,76,219,218,72,773,866,574,246,245,812,810,721,761,548,77,88,87,84,82,63,62,58,57,56,54,52,43,42,41,40,36,35,32,30,29,28,26,25,24,23,22,21,18,17,16,8,7,4,89,70,160,157,154,150,148,179,191,190,189,188,470,151,195,194,192,206,180,178,162,161,159,158,155,153,152,149,208,207,181,163,156,193,209,2,3,125])).
% 6.90/6.95 cnf(1074,plain,
% 6.90/6.95 (P4(f6(f29(a3,a3)),a32)),
% 6.90/6.95 inference(scs_inference,[],[71,219,700,698,947,83,111,104,85,604,106])).
% 6.90/6.95 cnf(1076,plain,
% 6.90/6.95 (P4(f16(f29(a3,a3)),a33)),
% 6.90/6.95 inference(scs_inference,[],[71,219,700,698,947,83,111,104,85,604,106,107])).
% 6.90/6.95 cnf(1078,plain,
% 6.90/6.95 (E(f29(f6(f29(a3,a3)),f16(f29(a3,a3))),f29(a3,a3))),
% 6.90/6.95 inference(scs_inference,[],[71,219,700,698,947,83,111,104,85,604,106,107,113])).
% 6.90/6.95 cnf(1121,plain,
% 6.90/6.95 (E(f29(f12(f29(a3,a3),f29(a3,a3),a1),f13(f29(a3,a3),f29(a3,a3),a1)),f29(f29(a3,a3),f29(a3,a3)))),
% 6.90/6.95 inference(scs_inference,[],[71,219,894,941,700,698,947,907,909,570,83,111,104,85,604,106,107,113,65,64,61,60,59,55,53,51,50,49,48,47,46,45,44,39,38,37,34,33,31,27,20,19,15,14,13,12,11,10,9,6,5,200,199,211,184,196])).
% 6.90/6.95 cnf(1123,plain,
% 6.90/6.95 (P4(f12(f29(a3,a3),f29(a3,a3),a1),a32)),
% 6.90/6.95 inference(scs_inference,[],[71,219,894,941,700,698,947,907,909,570,83,111,104,85,604,106,107,113,65,64,61,60,59,55,53,51,50,49,48,47,46,45,44,39,38,37,34,33,31,27,20,19,15,14,13,12,11,10,9,6,5,200,199,211,184,196,168])).
% 6.90/6.95 cnf(1127,plain,
% 6.90/6.95 (E(f29(f14(f29(a3,a3),f29(a3,a3),a1),f15(f29(a3,a3),f29(a3,a3),a1)),f17(a1,f29(a3,a3)))),
% 6.90/6.95 inference(scs_inference,[],[71,219,1001,894,941,700,698,947,907,909,570,83,111,104,85,604,106,107,113,65,64,61,60,59,55,53,51,50,49,48,47,46,45,44,39,38,37,34,33,31,27,20,19,15,14,13,12,11,10,9,6,5,200,199,211,184,196,168,467,197])).
% 6.90/6.95 cnf(1129,plain,
% 6.90/6.95 (P4(f15(f29(a3,a3),f29(a3,a3),a1),a33)),
% 6.90/6.95 inference(scs_inference,[],[71,219,1001,894,941,700,698,947,907,909,570,83,111,104,85,604,106,107,113,65,64,61,60,59,55,53,51,50,49,48,47,46,45,44,39,38,37,34,33,31,27,20,19,15,14,13,12,11,10,9,6,5,200,199,211,184,196,168,467,197,171])).
% 6.90/6.95 cnf(1131,plain,
% 6.90/6.95 (P4(f14(f29(a3,a3),f29(a3,a3),a1),a32)),
% 6.90/6.95 inference(scs_inference,[],[71,219,1001,894,941,700,698,947,907,909,570,83,111,104,85,604,106,107,113,65,64,61,60,59,55,53,51,50,49,48,47,46,45,44,39,38,37,34,33,31,27,20,19,15,14,13,12,11,10,9,6,5,200,199,211,184,196,168,467,197,171,170])).
% 6.90/6.95 cnf(1133,plain,
% 6.90/6.95 (P4(f11(f29(a3,a3),f29(a3,a3),a1),a33)),
% 6.90/6.95 inference(scs_inference,[],[71,219,1001,894,941,700,698,947,907,909,570,83,111,104,85,604,106,107,113,65,64,61,60,59,55,53,51,50,49,48,47,46,45,44,39,38,37,34,33,31,27,20,19,15,14,13,12,11,10,9,6,5,200,199,211,184,196,168,467,197,171,170,167])).
% 6.90/6.95 cnf(1137,plain,
% 6.90/6.95 (P4(f10(f29(a3,a3),f29(a3,a3),a1),a32)),
% 6.90/6.95 inference(scs_inference,[],[71,219,1001,894,941,700,698,947,907,909,570,83,111,104,85,604,106,107,113,65,64,61,60,59,55,53,51,50,49,48,47,46,45,44,39,38,37,34,33,31,27,20,19,15,14,13,12,11,10,9,6,5,200,199,211,184,196,168,467,197,171,170,167,164,166])).
% 6.90/6.95 cnf(1141,plain,
% 6.90/6.95 (P4(f13(f29(a3,a3),f29(a3,a3),a1),a33)),
% 6.90/6.95 inference(scs_inference,[],[71,219,1001,894,941,700,698,947,907,909,570,83,111,104,85,604,106,107,113,65,64,61,60,59,55,53,51,50,49,48,47,46,45,44,39,38,37,34,33,31,27,20,19,15,14,13,12,11,10,9,6,5,200,199,211,184,196,168,467,197,171,170,167,164,166,165,169])).
% 6.90/6.95 cnf(1145,plain,
% 6.90/6.95 (~E(a31,f17(a31,a1))),
% 6.90/6.95 inference(scs_inference,[],[71,220,219,1001,1047,894,941,700,698,225,311,947,907,909,570,83,111,104,85,604,106,107,113,65,64,61,60,59,55,53,51,50,49,48,47,46,45,44,39,38,37,34,33,31,27,20,19,15,14,13,12,11,10,9,6,5,200,199,211,184,196,168,467,197,171,170,167,164,166,165,169,67,2,3])).
% 6.90/6.95 cnf(1167,plain,
% 6.90/6.95 (P1(f9(f29(a3,a3),f29(a3,a3),a31))),
% 6.90/6.95 inference(scs_inference,[],[74,702,94])).
% 6.90/6.95 cnf(1175,plain,
% 6.90/6.95 (P1(f17(f30(a1),f30(a1)))),
% 6.90/6.95 inference(scs_inference,[],[71,74,702,694,231,94,112,105,104,103])).
% 6.90/6.95 cnf(1233,plain,
% 6.90/6.95 (E(f29(f10(f29(a3,a3),f29(a3,a3),a1),f11(f29(a3,a3),f29(a3,a3),a1)),f29(a3,a3))),
% 6.90/6.95 inference(scs_inference,[],[71,74,219,1078,779,543,702,692,694,1074,1076,231,312,94,112,105,104,103,138,111,102,154,148,179,189,160,157,151,150,194,192,178,472,467,191,190,188,162,161,159,155,152,149,195,207,206,180])).
% 6.90/6.95 cnf(1251,plain,
% 6.90/6.95 (E(f29(a3,a3),f29(f6(f29(a3,a3)),f16(f29(a3,a3))))),
% 6.90/6.95 inference(scs_inference,[],[71,74,219,1078,779,543,702,692,694,1074,1076,231,312,94,112,105,104,103,138,111,102,154,148,179,189,160,157,151,150,194,192,178,472,467,191,190,188,162,161,159,155,152,149,195,207,206,180,158,156,153,193,209,208,181,163,2])).
% 6.90/6.95 cnf(1278,plain,
% 6.90/6.95 (P1(f29(a3,a3))),
% 6.90/6.95 inference(scs_inference,[],[72,219,218,1133,77,183,105,94])).
% 6.90/6.95 cnf(1284,plain,
% 6.90/6.95 (P4(f13(f17(a1,a3),f17(a1,a3),a31),a33)),
% 6.90/6.95 inference(scs_inference,[],[72,219,218,1133,322,312,77,183,105,94,119,126,145])).
% 6.90/6.95 cnf(1292,plain,
% 6.90/6.95 (P4(f12(f17(a1,a3),f17(a1,a3),a31),a32)),
% 6.90/6.95 inference(scs_inference,[],[72,219,218,1127,1131,1133,1129,322,312,77,183,105,94,119,126,145,141,187,471,144])).
% 6.90/6.95 cnf(1294,plain,
% 6.90/6.95 (P4(f10(f17(a1,a3),f17(a1,a3),a31),a32)),
% 6.90/6.95 inference(scs_inference,[],[72,219,218,1127,1131,1133,1129,322,312,77,183,105,94,119,126,145,141,187,471,144,142])).
% 6.90/6.95 cnf(1312,plain,
% 6.90/6.95 (P4(f11(f17(a1,a3),f17(a1,a3),a31),a33)),
% 6.90/6.95 inference(scs_inference,[],[72,219,218,1167,1127,1131,1133,1129,322,312,77,183,105,94,119,126,145,141,187,471,144,142,140,204,177,112,120,127,103,147,143])).
% 6.90/6.95 cnf(1316,plain,
% 6.90/6.95 (E(f29(f12(f17(a1,a3),f17(a1,a3),a31),f13(f17(a1,a3),f17(a1,a3),a31)),f29(f17(a1,a3),f17(a1,a3)))),
% 6.90/6.95 inference(scs_inference,[],[72,219,218,1167,1127,1131,1133,1129,322,312,77,183,105,94,119,126,145,141,187,471,144,142,140,204,177,112,120,127,103,147,143,205,182])).
% 6.90/6.95 cnf(1320,plain,
% 6.90/6.95 (P4(f14(f17(a1,a3),f17(a1,a3),a31),a32)),
% 6.90/6.95 inference(scs_inference,[],[72,75,219,218,1167,1127,1131,1133,1129,322,312,77,183,105,94,119,126,145,141,187,471,144,142,140,204,177,112,120,127,103,147,143,205,182,115,146])).
% 6.90/6.95 cnf(1326,plain,
% 6.90/6.95 (P1(f29(f9(f29(a3,a3),f29(a3,a3),a31),f9(f29(a3,a3),f29(a3,a3),a31)))),
% 6.90/6.95 inference(scs_inference,[],[72,75,219,218,1167,1127,1131,1133,1129,322,312,77,183,105,94,119,126,145,141,187,471,144,142,140,204,177,112,120,127,103,147,143,205,182,115,146,186,176,102])).
% 6.90/6.95 cnf(1365,plain,
% 6.90/6.95 (P1(f29(f6(f29(a3,a3)),f16(f29(a3,a3))))),
% 6.90/6.95 inference(scs_inference,[],[72,221,220,75,73,74,219,218,1251,1167,1127,1131,1133,1129,844,322,312,77,78,183,105,94,119,126,145,141,187,471,144,142,140,204,177,112,120,127,103,147,143,205,182,115,146,186,176,102,2,3,214,168,468,171,164,469,170,167,166,165,169,472,67,86,91,212,174,172,66])).
% 6.90/6.95 cnf(1421,plain,
% 6.90/6.95 (E(a1,f17(a1,a31))),
% 6.90/6.95 inference(scs_inference,[],[72,221,76,1278,1316,1312,1284,1292,899,473,92,90,119,471,204,183,120,115,187,145,141,144,142,140,177,176,205,182,147,143,186,146,2])).
% 6.90/6.95 cnf(1427,plain,
% 6.90/6.95 (P1(f30(f29(a3,a3)))),
% 6.90/6.95 inference(scs_inference,[],[72,221,76,79,74,73,1278,1316,1312,1284,1292,899,473,980,92,90,119,471,204,183,120,115,187,145,141,144,142,140,177,176,205,182,147,143,186,146,2,3,173,472,82])).
% 6.90/6.95 cnf(1473,plain,
% 6.90/6.95 (P4(f29(f29(a3,a3),f17(a1,a3)),f2(a32,a33))),
% 6.90/6.95 inference(scs_inference,[],[223,1427,997,1021,983,88,84,87,63,58,57,54,52,43,42,41,36,32,30,29,28,26,25,16,8,118])).
% 6.90/6.95 cnf(1525,plain,
% 6.90/6.95 (~P4(f29(f18(f2(a32,a33)),f5(f2(a32,a33))),f2(a32,a33))),
% 6.90/6.95 inference(scs_inference,[],[223,220,219,1427,997,1421,1145,688,1021,983,1047,324,523,541,1278,80,326,77,72,88,84,87,63,58,57,54,52,43,42,41,36,32,30,29,28,26,25,16,8,118,66,119,187,204,183,142,177,176,120,145,141,144,140,205,182,186,147,143,146,2,3,83,139,96,468,467,67,1051])).
% 6.90/6.95 cnf(1530,plain,
% 6.90/6.95 (E(a1,f29(a1,a1))),
% 6.90/6.95 inference(scs_inference,[],[223,218,1473,1365,468,467,2])).
% 6.90/6.95 cnf(1534,plain,
% 6.90/6.95 (P4(f16(f17(a1,a3)),a33)),
% 6.90/6.95 inference(scs_inference,[],[220,223,218,1473,1365,1175,468,467,2,3,85,107])).
% 6.90/6.95 cnf(1623,plain,
% 6.90/6.95 (~P4(f5(f2(a32,a33)),f2(a32,a33))),
% 6.90/6.95 inference(scs_inference,[],[219,1534,1121,1320,1123,1141,1525,326,604,470,469,467])).
% 6.90/6.95 cnf(1676,plain,
% 6.90/6.95 ($false),
% 6.90/6.95 inference(scs_inference,[],[225,218,1623,1326,1530,1233,1294,1137,800,1133,80,326,77,94,128,471,111,4,467,468,67,2,3,101]),
% 6.90/6.95 ['proof']).
% 6.90/6.95 % SZS output end Proof
% 6.90/6.95 % Total time :6.220000s
%------------------------------------------------------------------------------