TSTP Solution File: PRO018+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PRO018+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 : n017.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 13:05:54 EDT 2023
% Result : Theorem 18.63s 18.76s
% Output : CNFRefutation 18.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PRO018+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
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 19:00:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 18.56/18.74 %-------------------------------------------
% 18.56/18.74 % File :CSE---1.6
% 18.56/18.74 % Problem :theBenchmark
% 18.56/18.74 % Transform :cnf
% 18.56/18.74 % Format :tptp:raw
% 18.56/18.74 % Command :java -jar mcs_scs.jar %d %s
% 18.56/18.74
% 18.56/18.74 % Result :Theorem 18.000000s
% 18.56/18.74 % Output :CNFRefutation 18.000000s
% 18.56/18.74 %-------------------------------------------
% 18.56/18.75 %------------------------------------------------------------------------------
% 18.56/18.75 % File : PRO018+2 : TPTP v8.1.2. Released v4.0.0.
% 18.56/18.75 % Domain : Processes
% 18.56/18.75 % Problem : PSL cliff problem coe-7.3
% 18.56/18.75 % Version : Especial : Reduced > Especial.
% 18.56/18.75 % English :
% 18.56/18.75 % Refs : [Hal09] Halcomb (2009), Email to G. Sutcliffe
% 18.56/18.75 % Source : [Hal09]
% 18.56/18.75 % Names : minimal-subset-p9__coe-7.3-pd [Hal09]
% 18.56/18.75
% 18.56/18.75 % Status : Theorem
% 18.56/18.75 % Rating : 0.39 v8.1.0, 0.36 v7.5.0, 0.44 v7.4.0, 0.33 v7.3.0, 0.38 v7.2.0, 0.34 v7.1.0, 0.39 v7.0.0, 0.37 v6.4.0, 0.42 v6.3.0, 0.50 v6.2.0, 0.52 v6.1.0, 0.70 v6.0.0, 0.61 v5.5.0, 0.74 v5.4.0, 0.75 v5.3.0, 0.74 v5.2.0, 0.65 v5.1.0, 0.62 v4.1.0, 0.61 v4.0.1, 0.65 v4.0.0
% 18.56/18.75 % Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% 18.56/18.75 % Number of atoms : 151 ( 12 equ)
% 18.56/18.75 % Maximal formula atoms : 16 ( 3 avg)
% 18.56/18.75 % Number of connectives : 126 ( 21 ~; 6 |; 61 &)
% 18.56/18.75 % ( 7 <=>; 31 =>; 0 <=; 0 <~>)
% 18.56/18.75 % Maximal formula depth : 16 ( 5 avg)
% 18.56/18.75 % Maximal term depth : 1 ( 1 avg)
% 18.56/18.75 % Number of predicates : 18 ( 17 usr; 0 prp; 1-3 aty)
% 18.56/18.75 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 18.56/18.75 % Number of variables : 107 ( 84 !; 23 ?)
% 18.56/18.75 % SPC : FOF_THM_RFO_SEQ
% 18.56/18.75
% 18.56/18.75 % Comments :
% 18.56/18.75 %------------------------------------------------------------------------------
% 18.56/18.75 fof(sos,axiom,
% 18.56/18.75 ! [X0,X1,X2,X3] :
% 18.56/18.75 ( ( min_precedes(X0,X1,X3)
% 18.56/18.75 & min_precedes(X1,X2,X3) )
% 18.56/18.75 => min_precedes(X0,X2,X3) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_01,axiom,
% 18.56/18.75 ! [X4,X5,X6] :
% 18.56/18.75 ( ( earlier(X4,X5)
% 18.56/18.75 & earlier(X5,X6) )
% 18.56/18.75 => earlier(X4,X6) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_02,axiom,
% 18.56/18.75 ! [X7,X8,X9,X10] :
% 18.56/18.75 ( ( occurrence_of(X9,X10)
% 18.56/18.75 & root_occ(X7,X9)
% 18.56/18.75 & root_occ(X8,X9) )
% 18.56/18.75 => X7 = X8 ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_03,axiom,
% 18.56/18.75 ! [X11,X12,X13,X14] :
% 18.56/18.75 ( ( occurrence_of(X13,X14)
% 18.56/18.75 & ~ atomic(X14)
% 18.56/18.75 & leaf_occ(X11,X13)
% 18.56/18.75 & leaf_occ(X12,X13) )
% 18.56/18.75 => X11 = X12 ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_04,axiom,
% 18.56/18.75 ! [X15,X16,X17] :
% 18.56/18.75 ( next_subocc(X15,X16,X17)
% 18.56/18.75 <=> ( min_precedes(X15,X16,X17)
% 18.56/18.75 & ~ ? [X18] :
% 18.56/18.75 ( min_precedes(X15,X18,X17)
% 18.56/18.75 & min_precedes(X18,X16,X17) ) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_05,axiom,
% 18.56/18.75 ! [X19,X20,X21] :
% 18.56/18.75 ( next_subocc(X19,X20,X21)
% 18.56/18.75 => ( arboreal(X19)
% 18.56/18.75 & arboreal(X20) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_06,axiom,
% 18.56/18.75 ! [X22,X23,X24] :
% 18.56/18.75 ( min_precedes(X22,X23,X24)
% 18.56/18.75 => precedes(X22,X23) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_07,axiom,
% 18.56/18.75 ! [X25,X26,X27] :
% 18.56/18.75 ( min_precedes(X25,X26,X27)
% 18.56/18.75 => ~ root(X26,X27) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_08,axiom,
% 18.56/18.75 ! [X28,X29] :
% 18.56/18.75 ( precedes(X28,X29)
% 18.56/18.75 <=> ( earlier(X28,X29)
% 18.56/18.75 & legal(X29) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_09,axiom,
% 18.56/18.75 ! [X30,X31] :
% 18.56/18.75 ( earlier(X30,X31)
% 18.56/18.75 => ~ earlier(X31,X30) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_10,axiom,
% 18.56/18.75 ! [X32,X33] :
% 18.56/18.75 ( root_occ(X32,X33)
% 18.56/18.75 <=> ? [X34] :
% 18.56/18.75 ( occurrence_of(X33,X34)
% 18.56/18.75 & subactivity_occurrence(X32,X33)
% 18.56/18.75 & root(X32,X34) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_11,axiom,
% 18.56/18.75 ! [X35,X36] :
% 18.56/18.75 ( leaf_occ(X35,X36)
% 18.56/18.75 <=> ? [X37] :
% 18.56/18.75 ( occurrence_of(X36,X37)
% 18.56/18.75 & subactivity_occurrence(X35,X36)
% 18.56/18.75 & leaf(X35,X37) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_12,axiom,
% 18.56/18.75 ! [X38,X39] :
% 18.56/18.75 ( root(X38,X39)
% 18.56/18.75 => legal(X38) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_13,axiom,
% 18.56/18.75 ! [X40,X41] :
% 18.56/18.75 ( occurrence_of(X40,X41)
% 18.56/18.75 => ( arboreal(X40)
% 18.56/18.75 <=> atomic(X41) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_14,axiom,
% 18.56/18.75 ! [X42,X43] :
% 18.56/18.75 ( leaf(X42,X43)
% 18.56/18.75 <=> ( ( root(X42,X43)
% 18.56/18.75 | ? [X44] : min_precedes(X44,X42,X43) )
% 18.56/18.75 & ~ ? [X45] : min_precedes(X42,X45,X43) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_15,axiom,
% 18.56/18.75 ! [X46,X47] :
% 18.56/18.75 ( atocc(X46,X47)
% 18.56/18.75 <=> ? [X48] :
% 18.56/18.75 ( subactivity(X47,X48)
% 18.56/18.75 & atomic(X48)
% 18.56/18.75 & occurrence_of(X46,X48) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_16,axiom,
% 18.56/18.75 ! [X49,X50] :
% 18.56/18.75 ( ( atocc(X49,X50)
% 18.56/18.75 & legal(X49) )
% 18.56/18.75 => root(X49,X50) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_17,axiom,
% 18.56/18.75 ! [X51] :
% 18.56/18.75 ( legal(X51)
% 18.56/18.75 => arboreal(X51) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_18,axiom,
% 18.56/18.75 ! [X52] :
% 18.56/18.75 ( activity_occurrence(X52)
% 18.56/18.75 => ? [X53] :
% 18.56/18.75 ( activity(X53)
% 18.56/18.75 & occurrence_of(X52,X53) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_19,axiom,
% 18.56/18.75 ! [X54,X55] :
% 18.56/18.75 ( subactivity_occurrence(X54,X55)
% 18.56/18.75 => ( activity_occurrence(X54)
% 18.56/18.75 & activity_occurrence(X55) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_20,axiom,
% 18.56/18.75 ! [X56,X57,X58] :
% 18.56/18.75 ( ( occurrence_of(X56,X58)
% 18.56/18.75 & root_occ(X57,X56) )
% 18.56/18.75 => ~ ? [X59] : min_precedes(X59,X57,X58) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_21,axiom,
% 18.56/18.75 ! [X60,X61,X62] :
% 18.56/18.75 ( ( occurrence_of(X60,X62)
% 18.56/18.75 & leaf_occ(X61,X60) )
% 18.56/18.75 => ~ ? [X63] : min_precedes(X61,X63,X62) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_22,axiom,
% 18.56/18.75 ! [X64,X65,X66] :
% 18.56/18.75 ( ( occurrence_of(X64,X65)
% 18.56/18.75 & occurrence_of(X64,X66) )
% 18.56/18.75 => X65 = X66 ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_23,axiom,
% 18.56/18.75 ! [X67,X68] :
% 18.56/18.75 ( ( leaf(X67,X68)
% 18.56/18.75 & ~ atomic(X68) )
% 18.56/18.75 => ? [X69] :
% 18.56/18.75 ( occurrence_of(X69,X68)
% 18.56/18.75 & leaf_occ(X67,X69) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_24,axiom,
% 18.56/18.75 ! [X70,X71,X72] :
% 18.56/18.75 ( min_precedes(X71,X72,X70)
% 18.56/18.75 => ? [X73] :
% 18.56/18.75 ( occurrence_of(X73,X70)
% 18.56/18.75 & subactivity_occurrence(X71,X73)
% 18.56/18.75 & subactivity_occurrence(X72,X73) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_25,axiom,
% 18.56/18.75 ! [X74,X75] :
% 18.56/18.75 ( ( leaf(X74,X75)
% 18.56/18.75 & ~ atomic(X75) )
% 18.56/18.75 => ? [X76] :
% 18.56/18.75 ( occurrence_of(X76,X75)
% 18.56/18.75 & leaf_occ(X74,X76) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_26,axiom,
% 18.56/18.75 ! [X77,X78,X79] :
% 18.56/18.75 ( min_precedes(X78,X79,X77)
% 18.56/18.75 => ? [X80,X81] :
% 18.56/18.75 ( subactivity(X80,X77)
% 18.56/18.75 & subactivity(X81,X77)
% 18.56/18.75 & atocc(X78,X80)
% 18.56/18.75 & atocc(X79,X81) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_27,axiom,
% 18.56/18.75 ! [X82,X83] :
% 18.56/18.75 ( root(X83,X82)
% 18.56/18.75 => ? [X84] :
% 18.56/18.75 ( subactivity(X84,X82)
% 18.56/18.75 & atocc(X83,X84) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_28,axiom,
% 18.56/18.75 ! [X85,X86,X87,X88] :
% 18.56/18.75 ( ( occurrence_of(X86,X85)
% 18.56/18.75 & arboreal(X87)
% 18.56/18.75 & arboreal(X88)
% 18.56/18.75 & subactivity_occurrence(X87,X86)
% 18.56/18.75 & subactivity_occurrence(X88,X86) )
% 18.56/18.75 => ( min_precedes(X87,X88,X85)
% 18.56/18.75 | min_precedes(X88,X87,X85)
% 18.56/18.75 | X87 = X88 ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_29,axiom,
% 18.56/18.75 ! [X89,X90] :
% 18.56/18.75 ( occurrence_of(X90,X89)
% 18.56/18.75 => ( activity(X89)
% 18.56/18.75 & activity_occurrence(X90) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_30,axiom,
% 18.56/18.75 ! [X91,X92] :
% 18.56/18.75 ( ( occurrence_of(X92,X91)
% 18.56/18.75 & ~ atomic(X91) )
% 18.56/18.75 => ? [X93] :
% 18.56/18.75 ( root(X93,X91)
% 18.56/18.75 & subactivity_occurrence(X93,X92) ) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_31,axiom,
% 18.56/18.75 ! [X94] :
% 18.56/18.75 ( activity(X94)
% 18.56/18.75 => subactivity(X94,X94) ) ).
% 18.56/18.75
% 18.56/18.75 fof(sos_32,axiom,
% 18.56/18.75 ! [X95,X96] :
% 18.56/18.75 ( ( occurrence_of(X96,tptp0)
% 18.63/18.75 & subactivity_occurrence(X95,X96)
% 18.63/18.75 & arboreal(X95)
% 18.63/18.75 & ~ leaf_occ(X95,X96) )
% 18.63/18.75 => ? [X97,X98,X99] :
% 18.63/18.75 ( occurrence_of(X97,tptp3)
% 18.63/18.75 & next_subocc(X95,X97,tptp0)
% 18.63/18.75 & occurrence_of(X98,tptp4)
% 18.63/18.75 & min_precedes(X97,X98,tptp0)
% 18.63/18.75 & ( occurrence_of(X99,tptp1)
% 18.63/18.75 | occurrence_of(X99,tptp2) )
% 18.63/18.75 & min_precedes(X98,X99,tptp0)
% 18.63/18.75 & ! [X100] :
% 18.63/18.75 ( min_precedes(X97,X100,tptp0)
% 18.63/18.75 => ( X100 = X98
% 18.63/18.75 | X100 = X99 ) ) ) ) ).
% 18.63/18.75
% 18.63/18.75 fof(sos_33,axiom,
% 18.63/18.75 activity(tptp0) ).
% 18.63/18.75
% 18.63/18.75 fof(sos_34,axiom,
% 18.63/18.75 ~ atomic(tptp0) ).
% 18.63/18.75
% 18.63/18.75 fof(sos_35,axiom,
% 18.63/18.75 atomic(tptp4) ).
% 18.63/18.75
% 18.63/18.75 fof(sos_36,axiom,
% 18.63/18.75 atomic(tptp1) ).
% 18.63/18.75
% 18.63/18.75 fof(sos_37,axiom,
% 18.63/18.75 atomic(tptp2) ).
% 18.63/18.75
% 18.63/18.75 fof(sos_38,axiom,
% 18.63/18.75 atomic(tptp3) ).
% 18.63/18.75
% 18.63/18.75 fof(sos_39,axiom,
% 18.63/18.75 tptp4 != tptp3 ).
% 18.63/18.75
% 18.63/18.75 fof(sos_40,axiom,
% 18.63/18.75 tptp4 != tptp1 ).
% 18.63/18.75
% 18.63/18.75 fof(sos_41,axiom,
% 18.63/18.75 tptp4 != tptp2 ).
% 18.63/18.75
% 18.63/18.75 fof(sos_42,axiom,
% 18.63/18.75 tptp3 != tptp1 ).
% 18.63/18.75
% 18.63/18.75 fof(sos_43,axiom,
% 18.63/18.76 tptp3 != tptp2 ).
% 18.63/18.76
% 18.63/18.76 fof(sos_44,axiom,
% 18.63/18.76 tptp1 != tptp2 ).
% 18.63/18.76
% 18.63/18.76 fof(goals,conjecture,
% 18.63/18.76 ! [X101,X102] :
% 18.63/18.76 ( ( occurrence_of(X102,tptp0)
% 18.63/18.76 & subactivity_occurrence(X101,X102)
% 18.63/18.76 & arboreal(X101)
% 18.63/18.76 & ~ leaf_occ(X101,X102) )
% 18.63/18.76 => ? [X103,X104] :
% 18.63/18.76 ( occurrence_of(X103,tptp3)
% 18.63/18.76 & next_subocc(X101,X103,tptp0)
% 18.63/18.76 & ( occurrence_of(X104,tptp1)
% 18.63/18.76 | occurrence_of(X104,tptp2) )
% 18.63/18.76 & min_precedes(X103,X104,tptp0)
% 18.63/18.76 & leaf_occ(X104,X102)
% 18.63/18.76 & ( occurrence_of(X104,tptp1)
% 18.63/18.76 => ~ ? [X105] :
% 18.63/18.76 ( occurrence_of(X105,tptp2)
% 18.63/18.76 & min_precedes(X103,X105,tptp0) ) )
% 18.63/18.76 & ( occurrence_of(X104,tptp2)
% 18.63/18.76 => ~ ? [X106] :
% 18.63/18.76 ( occurrence_of(X106,tptp1)
% 18.63/18.76 & min_precedes(X103,X106,tptp0) ) ) ) ) ).
% 18.63/18.76
% 18.63/18.76 %------------------------------------------------------------------------------
% 18.63/18.76 %-------------------------------------------
% 18.63/18.76 % Proof found
% 18.63/18.76 % SZS status Theorem for theBenchmark
% 18.63/18.76 % SZS output start Proof
% 18.63/18.76 %ClaNum:170(EqnAxiom:72)
% 18.63/18.76 %VarNum:551(SingletonVarNum:196)
% 18.63/18.76 %MaxLitNum:8
% 18.63/18.76 %MaxfuncDepth:1
% 18.63/18.76 %SharedTerms:23
% 18.63/18.76 %goalClause: 77 79 80 88 157 158 161 162 163 164 165 166 167 168 169 170
% 18.63/18.76 %singleGoalClaCount:4
% 18.63/18.76 [73]P1(a1)
% 18.63/18.76 [74]P1(a26)
% 18.63/18.76 [75]P1(a2)
% 18.63/18.76 [76]P1(a25)
% 18.63/18.76 [77]P2(a3)
% 18.63/18.76 [78]P3(a12)
% 18.63/18.76 [79]P6(a13,a12)
% 18.63/18.76 [80]P13(a3,a13)
% 18.63/18.76 [81]~E(a1,a26)
% 18.63/18.76 [82]~E(a1,a2)
% 18.63/18.76 [83]~E(a2,a26)
% 18.63/18.76 [84]~E(a1,a25)
% 18.63/18.76 [85]~E(a25,a26)
% 18.63/18.76 [86]~E(a25,a2)
% 18.63/18.76 [87]~P1(a12)
% 18.63/18.76 [88]~P7(a3,a13)
% 18.63/18.76 [89]~P10(x891)+P2(x891)
% 18.63/18.76 [91]~P3(x911)+P14(x911,x911)
% 18.63/18.76 [90]~P4(x901)+P3(f14(x901))
% 18.63/18.76 [98]~P4(x981)+P6(x981,f14(x981))
% 18.63/18.76 [92]P10(x921)+~P15(x922,x921)
% 18.63/18.76 [93]P10(x931)+~P16(x931,x932)
% 18.63/18.76 [94]P4(x941)+~P6(x941,x942)
% 18.63/18.76 [95]P4(x951)+~P13(x952,x951)
% 18.63/18.76 [96]P4(x961)+~P13(x961,x962)
% 18.63/18.76 [97]P3(x971)+~P6(x972,x971)
% 18.63/18.76 [101]~P15(x1011,x1012)+P8(x1011,x1012)
% 18.63/18.76 [102]~P17(x1021,x1022)+P13(x1021,x1022)
% 18.63/18.76 [103]~P7(x1031,x1032)+P13(x1031,x1032)
% 18.63/18.76 [106]~P8(x1062,x1061)+~P8(x1061,x1062)
% 18.63/18.76 [108]~P5(x1081,x1082)+P1(f15(x1081,x1082))
% 18.63/18.76 [110]~P17(x1102,x1101)+P6(x1101,f16(x1102,x1101))
% 18.63/18.76 [111]~P7(x1112,x1111)+P6(x1111,f20(x1112,x1111))
% 18.63/18.76 [112]~P5(x1121,x1122)+P6(x1121,f15(x1121,x1122))
% 18.63/18.76 [113]~P17(x1131,x1132)+P16(x1131,f16(x1131,x1132))
% 18.63/18.76 [114]~P7(x1141,x1142)+P9(x1141,f20(x1141,x1142))
% 18.63/18.76 [115]~P16(x1151,x1152)+P5(x1151,f4(x1152,x1151))
% 18.63/18.76 [116]~P5(x1162,x1161)+P14(x1161,f15(x1162,x1161))
% 18.63/18.76 [117]~P16(x1172,x1171)+P14(f4(x1171,x1172),x1171)
% 18.63/18.76 [131]P2(x1311)+~P11(x1312,x1311,x1313)
% 18.63/18.76 [132]P2(x1321)+~P11(x1321,x1322,x1323)
% 18.63/18.76 [133]P15(x1331,x1332)+~P12(x1331,x1332,x1333)
% 18.63/18.76 [135]~P16(x1351,x1352)+~P12(x1353,x1351,x1352)
% 18.63/18.76 [136]~P9(x1361,x1362)+~P12(x1361,x1363,x1362)
% 18.63/18.76 [144]~P11(x1441,x1442,x1443)+P12(x1441,x1442,x1443)
% 18.63/18.76 [148]~P12(x1483,x1481,x1482)+P13(x1481,f24(x1482,x1483,x1481))
% 18.63/18.76 [149]~P12(x1491,x1493,x1492)+P13(x1491,f24(x1492,x1491,x1493))
% 18.63/18.76 [150]~P12(x1501,x1503,x1502)+P5(x1501,f6(x1502,x1501,x1503))
% 18.63/18.76 [151]~P12(x1513,x1511,x1512)+P5(x1511,f7(x1512,x1513,x1511))
% 18.63/18.76 [152]~P12(x1522,x1523,x1521)+P6(f24(x1521,x1522,x1523),x1521)
% 18.63/18.76 [153]~P12(x1532,x1533,x1531)+P14(f6(x1531,x1532,x1533),x1531)
% 18.63/18.76 [154]~P12(x1542,x1543,x1541)+P14(f7(x1541,x1542,x1543),x1541)
% 18.63/18.76 [99]~P6(x992,x991)+P1(x991)+~P2(x992)
% 18.63/18.76 [100]~P6(x1001,x1002)+P2(x1001)+~P1(x1002)
% 18.63/18.76 [104]~P10(x1042)+~P8(x1041,x1042)+P15(x1041,x1042)
% 18.63/18.76 [105]~P10(x1051)+~P5(x1051,x1052)+P16(x1051,x1052)
% 18.63/18.76 [119]~P9(x1192,x1191)+P1(x1191)+P7(x1192,f23(x1192,x1191))
% 18.63/18.76 [120]~P9(x1202,x1201)+P1(x1201)+P7(x1202,f5(x1202,x1201))
% 18.63/18.76 [121]~P9(x1212,x1211)+P1(x1211)+P6(f23(x1212,x1211),x1211)
% 18.63/18.76 [122]~P9(x1222,x1221)+P1(x1221)+P6(f5(x1222,x1221),x1221)
% 18.63/18.76 [123]~P6(x1232,x1231)+P1(x1231)+P16(f8(x1231,x1232),x1231)
% 18.63/18.76 [124]~P6(x1242,x1241)+P1(x1241)+P13(f8(x1241,x1242),x1242)
% 18.63/18.76 [137]~P16(x1371,x1372)+P9(x1371,x1372)+P12(x1371,f21(x1371,x1372),x1372)
% 18.63/18.76 [138]~P9(x1381,x1382)+P16(x1381,x1382)+P12(f22(x1381,x1382),x1381,x1382)
% 18.63/18.76 [107]~P6(x1073,x1071)+E(x1071,x1072)+~P6(x1073,x1072)
% 18.63/18.76 [109]~P8(x1091,x1093)+P8(x1091,x1092)+~P8(x1093,x1092)
% 18.63/18.76 [146]P9(x1461,x1462)+~P12(x1463,x1461,x1462)+P12(x1461,f21(x1461,x1462),x1462)
% 18.63/18.76 [159]~P12(x1591,x1592,x1593)+P11(x1591,x1592,x1593)+P12(x1591,f19(x1591,x1592,x1593),x1593)
% 18.63/18.76 [160]~P12(x1601,x1602,x1603)+P11(x1601,x1602,x1603)+P12(f19(x1601,x1602,x1603),x1602,x1603)
% 18.63/18.76 [142]~P6(x1421,x1422)+~P12(x1424,x1423,x1422)+~P17(x1423,x1421)
% 18.63/18.76 [143]~P6(x1431,x1432)+~P12(x1433,x1434,x1432)+~P7(x1433,x1431)
% 18.63/18.76 [155]~P12(x1551,x1554,x1553)+P12(x1551,x1552,x1553)+~P12(x1554,x1552,x1553)
% 18.63/18.76 [156]~P11(x1564,x1562,x1563)+~P12(x1561,x1562,x1563)+~P12(x1564,x1561,x1563)
% 18.63/18.76 [118]~P6(x1181,x1183)+~P14(x1182,x1183)+P5(x1181,x1182)+~P1(x1183)
% 18.63/18.76 [127]~P16(x1271,x1273)+~P13(x1271,x1272)+P17(x1271,x1272)+~P6(x1272,x1273)
% 18.63/18.76 [128]~P13(x1281,x1282)+~P9(x1281,x1283)+P7(x1281,x1282)+~P6(x1282,x1283)
% 18.63/18.76 [125]~P17(x1252,x1253)+~P17(x1251,x1253)+E(x1251,x1252)+~P6(x1253,x1254)
% 18.63/18.76 [129]~P2(x1291)+~P13(x1291,x1292)+P7(x1291,x1292)+~P6(x1292,a12)+P6(f9(x1291),a1)
% 18.63/18.76 [130]~P2(x1301)+~P13(x1301,x1302)+P7(x1301,x1302)+~P6(x1302,a12)+P6(f10(x1301),a26)
% 18.63/18.76 [139]~P2(x1391)+~P13(x1391,x1392)+P7(x1391,x1392)+~P6(x1392,a12)+P11(x1391,f9(x1391),a12)
% 18.63/18.76 [140]~P2(x1401)+~P13(x1401,x1402)+P7(x1401,x1402)+~P6(x1402,a12)+P12(f9(x1401),f10(x1401),a12)
% 18.63/18.76 [141]~P2(x1411)+~P13(x1411,x1412)+P7(x1411,x1412)+~P6(x1412,a12)+P12(f10(x1411),f11(x1411),a12)
% 18.63/18.76 [126]~P7(x1262,x1264)+~P7(x1261,x1264)+E(x1261,x1262)+~P6(x1264,x1263)+P1(x1263)
% 18.63/18.76 [134]~P2(x1341)+~P13(x1341,x1342)+P7(x1341,x1342)+~P6(x1342,a12)+P6(f11(x1341),a2)+P6(f11(x1341),a25)
% 18.63/18.76 [157]~P12(x1572,x1571,a12)+~P6(x1571,a25)+~P6(x1572,a1)+~P7(x1571,a13)+P6(x1571,a2)+~P11(a3,x1572,a12)+P6(f17(x1572,x1571),a2)
% 18.63/18.76 [158]~P12(x1582,x1581,a12)+~P6(x1582,a1)+~P6(x1581,a2)+~P7(x1581,a13)+P6(x1581,a25)+~P11(a3,x1582,a12)+P6(f18(x1582,x1581),a25)
% 18.63/18.76 [161]~P12(x1611,x1612,a12)+~P6(x1612,a2)+~P6(x1611,a1)+~P7(x1612,a13)+~P11(a3,x1611,a12)+P6(f17(x1611,x1612),a2)+P6(f18(x1611,x1612),a25)
% 18.63/18.76 [162]~P12(x1621,x1622,a12)+~P6(x1622,a25)+~P6(x1621,a1)+~P7(x1622,a13)+~P11(a3,x1621,a12)+P6(f17(x1621,x1622),a2)+P6(f18(x1621,x1622),a25)
% 18.63/18.76 [163]~P12(x1632,x1631,a12)+~P6(x1631,a25)+~P6(x1632,a1)+~P7(x1631,a13)+P6(x1631,a2)+~P11(a3,x1632,a12)+P12(x1632,f17(x1632,x1631),a12)
% 18.63/18.76 [164]~P12(x1642,x1641,a12)+~P6(x1642,a1)+~P6(x1641,a2)+~P7(x1641,a13)+P6(x1641,a25)+~P11(a3,x1642,a12)+P12(x1642,f18(x1642,x1641),a12)
% 18.63/18.76 [165]~P12(x1651,x1652,a12)+~P6(x1652,a2)+~P6(x1651,a1)+~P7(x1652,a13)+P12(x1651,f17(x1651,x1652),a12)+~P11(a3,x1651,a12)+P6(f18(x1651,x1652),a25)
% 18.63/18.76 [166]~P12(x1661,x1662,a12)+~P6(x1662,a25)+~P6(x1661,a1)+~P7(x1662,a13)+P12(x1661,f17(x1661,x1662),a12)+~P11(a3,x1661,a12)+P6(f18(x1661,x1662),a25)
% 18.63/18.76 [167]~P12(x1671,x1672,a12)+~P6(x1672,a2)+~P6(x1671,a1)+~P7(x1672,a13)+P12(x1671,f18(x1671,x1672),a12)+~P11(a3,x1671,a12)+P6(f17(x1671,x1672),a2)
% 18.63/18.76 [168]~P12(x1681,x1682,a12)+~P6(x1682,a25)+~P6(x1681,a1)+~P7(x1682,a13)+P12(x1681,f18(x1681,x1682),a12)+~P11(a3,x1681,a12)+P6(f17(x1681,x1682),a2)
% 18.63/18.76 [169]~P12(x1691,x1692,a12)+~P6(x1692,a2)+~P6(x1691,a1)+~P7(x1692,a13)+P12(x1691,f17(x1691,x1692),a12)+~P11(a3,x1691,a12)+P12(x1691,f18(x1691,x1692),a12)
% 18.63/18.76 [170]~P12(x1701,x1702,a12)+~P6(x1702,a25)+~P6(x1701,a1)+~P7(x1702,a13)+P12(x1701,f17(x1701,x1702),a12)+~P11(a3,x1701,a12)+P12(x1701,f18(x1701,x1702),a12)
% 18.63/18.76 [145]~P2(x1452)+~P13(x1452,x1453)+P7(x1452,x1453)+E(x1451,f11(x1452))+~P6(x1453,a12)+E(x1451,f10(x1452))+~P12(f9(x1452),x1451,a12)
% 18.63/18.76 [147]P12(x1471,x1472,x1473)+~P2(x1472)+~P2(x1471)+~P13(x1472,x1474)+~P13(x1471,x1474)+E(x1471,x1472)+P12(x1472,x1471,x1473)+~P6(x1474,x1473)
% 18.63/18.76 %EqnAxiom
% 18.63/18.76 [1]E(x11,x11)
% 18.63/18.76 [2]E(x22,x21)+~E(x21,x22)
% 18.63/18.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 18.63/18.76 [4]~E(x41,x42)+E(f14(x41),f14(x42))
% 18.63/18.76 [5]~E(x51,x52)+E(f17(x51,x53),f17(x52,x53))
% 18.63/18.76 [6]~E(x61,x62)+E(f17(x63,x61),f17(x63,x62))
% 18.63/18.76 [7]~E(x71,x72)+E(f15(x71,x73),f15(x72,x73))
% 18.63/18.76 [8]~E(x81,x82)+E(f15(x83,x81),f15(x83,x82))
% 18.63/18.76 [9]~E(x91,x92)+E(f16(x91,x93),f16(x92,x93))
% 18.63/18.76 [10]~E(x101,x102)+E(f16(x103,x101),f16(x103,x102))
% 18.63/18.76 [11]~E(x111,x112)+E(f20(x111,x113),f20(x112,x113))
% 18.63/18.76 [12]~E(x121,x122)+E(f20(x123,x121),f20(x123,x122))
% 18.63/18.76 [13]~E(x131,x132)+E(f18(x131,x133),f18(x132,x133))
% 18.63/18.76 [14]~E(x141,x142)+E(f18(x143,x141),f18(x143,x142))
% 18.63/18.76 [15]~E(x151,x152)+E(f19(x151,x153,x154),f19(x152,x153,x154))
% 18.63/18.76 [16]~E(x161,x162)+E(f19(x163,x161,x164),f19(x163,x162,x164))
% 18.63/18.76 [17]~E(x171,x172)+E(f19(x173,x174,x171),f19(x173,x174,x172))
% 18.63/18.76 [18]~E(x181,x182)+E(f6(x181,x183,x184),f6(x182,x183,x184))
% 18.63/18.76 [19]~E(x191,x192)+E(f6(x193,x191,x194),f6(x193,x192,x194))
% 18.63/18.76 [20]~E(x201,x202)+E(f6(x203,x204,x201),f6(x203,x204,x202))
% 18.63/18.76 [21]~E(x211,x212)+E(f4(x211,x213),f4(x212,x213))
% 18.63/18.76 [22]~E(x221,x222)+E(f4(x223,x221),f4(x223,x222))
% 18.63/18.76 [23]~E(x231,x232)+E(f7(x231,x233,x234),f7(x232,x233,x234))
% 18.63/18.76 [24]~E(x241,x242)+E(f7(x243,x241,x244),f7(x243,x242,x244))
% 18.63/18.76 [25]~E(x251,x252)+E(f7(x253,x254,x251),f7(x253,x254,x252))
% 18.63/18.76 [26]~E(x261,x262)+E(f24(x261,x263,x264),f24(x262,x263,x264))
% 18.63/18.76 [27]~E(x271,x272)+E(f24(x273,x271,x274),f24(x273,x272,x274))
% 18.63/18.76 [28]~E(x281,x282)+E(f24(x283,x284,x281),f24(x283,x284,x282))
% 18.63/18.76 [29]~E(x291,x292)+E(f23(x291,x293),f23(x292,x293))
% 18.63/18.76 [30]~E(x301,x302)+E(f23(x303,x301),f23(x303,x302))
% 18.63/18.76 [31]~E(x311,x312)+E(f5(x311,x313),f5(x312,x313))
% 18.63/18.76 [32]~E(x321,x322)+E(f5(x323,x321),f5(x323,x322))
% 18.63/18.76 [33]~E(x331,x332)+E(f21(x331,x333),f21(x332,x333))
% 18.63/18.76 [34]~E(x341,x342)+E(f21(x343,x341),f21(x343,x342))
% 18.63/18.76 [35]~E(x351,x352)+E(f9(x351),f9(x352))
% 18.63/18.76 [36]~E(x361,x362)+E(f8(x361,x363),f8(x362,x363))
% 18.63/18.76 [37]~E(x371,x372)+E(f8(x373,x371),f8(x373,x372))
% 18.63/18.76 [38]~E(x381,x382)+E(f10(x381),f10(x382))
% 18.63/18.76 [39]~E(x391,x392)+E(f11(x391),f11(x392))
% 18.63/18.76 [40]~E(x401,x402)+E(f22(x401,x403),f22(x402,x403))
% 18.63/18.76 [41]~E(x411,x412)+E(f22(x413,x411),f22(x413,x412))
% 18.63/18.76 [42]~P1(x421)+P1(x422)+~E(x421,x422)
% 18.63/18.76 [43]P11(x432,x433,x434)+~E(x431,x432)+~P11(x431,x433,x434)
% 18.63/18.76 [44]P11(x443,x442,x444)+~E(x441,x442)+~P11(x443,x441,x444)
% 18.63/18.76 [45]P11(x453,x454,x452)+~E(x451,x452)+~P11(x453,x454,x451)
% 18.63/18.76 [46]P12(x462,x463,x464)+~E(x461,x462)+~P12(x461,x463,x464)
% 18.63/18.76 [47]P12(x473,x472,x474)+~E(x471,x472)+~P12(x473,x471,x474)
% 18.63/18.76 [48]P12(x483,x484,x482)+~E(x481,x482)+~P12(x483,x484,x481)
% 18.63/18.76 [49]P7(x492,x493)+~E(x491,x492)+~P7(x491,x493)
% 18.63/18.76 [50]P7(x503,x502)+~E(x501,x502)+~P7(x503,x501)
% 18.63/18.76 [51]~P2(x511)+P2(x512)+~E(x511,x512)
% 18.63/18.76 [52]~P3(x521)+P3(x522)+~E(x521,x522)
% 18.63/18.76 [53]P6(x532,x533)+~E(x531,x532)+~P6(x531,x533)
% 18.63/18.76 [54]P6(x543,x542)+~E(x541,x542)+~P6(x543,x541)
% 18.63/18.76 [55]P13(x552,x553)+~E(x551,x552)+~P13(x551,x553)
% 18.63/18.76 [56]P13(x563,x562)+~E(x561,x562)+~P13(x563,x561)
% 18.63/18.76 [57]P17(x572,x573)+~E(x571,x572)+~P17(x571,x573)
% 18.63/18.76 [58]P17(x583,x582)+~E(x581,x582)+~P17(x583,x581)
% 18.63/18.76 [59]P9(x592,x593)+~E(x591,x592)+~P9(x591,x593)
% 18.63/18.76 [60]P9(x603,x602)+~E(x601,x602)+~P9(x603,x601)
% 18.63/18.76 [61]P16(x612,x613)+~E(x611,x612)+~P16(x611,x613)
% 18.63/18.76 [62]P16(x623,x622)+~E(x621,x622)+~P16(x623,x621)
% 18.63/18.76 [63]~P10(x631)+P10(x632)+~E(x631,x632)
% 18.63/18.76 [64]P8(x642,x643)+~E(x641,x642)+~P8(x641,x643)
% 18.63/18.76 [65]P8(x653,x652)+~E(x651,x652)+~P8(x653,x651)
% 18.63/18.76 [66]~P4(x661)+P4(x662)+~E(x661,x662)
% 18.63/18.76 [67]P14(x672,x673)+~E(x671,x672)+~P14(x671,x673)
% 18.63/18.76 [68]P14(x683,x682)+~E(x681,x682)+~P14(x683,x681)
% 18.63/18.76 [69]P5(x692,x693)+~E(x691,x692)+~P5(x691,x693)
% 18.63/18.76 [70]P5(x703,x702)+~E(x701,x702)+~P5(x703,x701)
% 18.63/18.76 [71]P15(x712,x713)+~E(x711,x712)+~P15(x711,x713)
% 18.63/18.76 [72]P15(x723,x722)+~E(x721,x722)+~P15(x723,x721)
% 18.63/18.76
% 18.63/18.76 %-------------------------------------------
% 18.63/18.76 cnf(171,plain,
% 18.63/18.76 (~P6(a3,a12)),
% 18.63/18.76 inference(scs_inference,[],[77,87,99])).
% 18.63/18.76 cnf(173,plain,
% 18.63/18.76 (~E(a26,a1)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,81,87,99,128,2])).
% 18.63/18.76 cnf(176,plain,
% 18.63/18.76 (P4(a13)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,81,87,99,128,2,96,95])).
% 18.63/18.76 cnf(178,plain,
% 18.63/18.76 (P14(a12,a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,78,81,87,99,128,2,96,95,91])).
% 18.63/18.76 cnf(180,plain,
% 18.63/18.76 (P6(a3,f14(a3))),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,78,81,87,99,128,2,96,95,91,98])).
% 18.63/18.76 cnf(182,plain,
% 18.63/18.76 (P3(f14(a3))),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,78,81,87,99,128,2,96,95,91,98,90])).
% 18.63/18.76 cnf(185,plain,
% 18.63/18.76 (~E(f14(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,78,81,87,99,128,2,96,95,91,98,90,66,54])).
% 18.63/18.76 cnf(187,plain,
% 18.63/18.76 (~E(a1,a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42])).
% 18.63/18.76 cnf(188,plain,
% 18.63/18.76 (P13(f8(a12,a13),a13)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124])).
% 18.63/18.76 cnf(190,plain,
% 18.63/18.76 (P16(f8(a12,a13),a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123])).
% 18.63/18.76 cnf(192,plain,
% 18.63/18.76 (P17(f8(a12,a13),a13)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127])).
% 18.63/18.76 cnf(194,plain,
% 18.63/18.76 (P11(a3,f9(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139])).
% 18.63/18.76 cnf(196,plain,
% 18.63/18.76 (P6(f10(a3),a26)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130])).
% 18.63/18.76 cnf(198,plain,
% 18.63/18.76 (P6(f9(a3),a1)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129])).
% 18.63/18.76 cnf(200,plain,
% 18.63/18.76 (P12(f10(a3),f11(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141])).
% 18.63/18.76 cnf(202,plain,
% 18.63/18.76 (P12(f9(a3),f10(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140])).
% 18.63/18.76 cnf(204,plain,
% 18.63/18.76 (~P9(f10(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136])).
% 18.63/18.76 cnf(206,plain,
% 18.63/18.76 (~P16(f11(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135])).
% 18.63/18.76 cnf(208,plain,
% 18.63/18.76 (P15(f10(a3),f11(a3))),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133])).
% 18.63/18.76 cnf(210,plain,
% 18.63/18.76 (P2(f9(a3))),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131])).
% 18.63/18.76 cnf(212,plain,
% 18.63/18.76 (P3(a26)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131,97])).
% 18.63/18.76 cnf(214,plain,
% 18.63/18.76 (P4(f10(a3))),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131,97,94])).
% 18.63/18.76 cnf(216,plain,
% 18.63/18.76 (P10(f8(a12,a13))),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131,97,94,93])).
% 18.63/18.76 cnf(218,plain,
% 18.63/18.76 (P10(f11(a3))),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131,97,94,93,92])).
% 18.63/18.76 cnf(220,plain,
% 18.63/18.76 (~P11(f9(a3),f11(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131,97,94,93,92,156])).
% 18.63/18.76 cnf(222,plain,
% 18.63/18.76 (~P7(f10(a3),a13)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131,97,94,93,92,156,143])).
% 18.63/18.76 cnf(224,plain,
% 18.63/18.76 (~P17(f11(a3),a13)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131,97,94,93,92,156,143,142])).
% 18.63/18.76 cnf(226,plain,
% 18.63/18.76 (~P6(f10(a3),a1)),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131,97,94,93,92,156,143,142,107])).
% 18.63/18.76 cnf(228,plain,
% 18.63/18.76 (P2(f10(a3))),
% 18.63/18.76 inference(scs_inference,[],[77,79,80,88,73,74,78,81,87,99,128,2,96,95,91,98,90,66,54,53,42,124,123,127,139,130,129,141,140,136,135,133,131,97,94,93,92,156,143,142,107,100])).
% 18.63/18.76 cnf(243,plain,
% 18.63/18.76 (P12(a3,f9(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[194,144])).
% 18.63/18.76 cnf(245,plain,
% 18.63/18.76 (P8(f10(a3),f11(a3))),
% 18.63/18.76 inference(scs_inference,[],[208,194,144,101])).
% 18.63/18.76 cnf(247,plain,
% 18.63/18.76 (P2(f8(a12,a13))),
% 18.63/18.76 inference(scs_inference,[],[216,208,194,144,101,89])).
% 18.63/18.76 cnf(249,plain,
% 18.63/18.76 (P14(f4(a12,f8(a12,a13)),a12)),
% 18.63/18.76 inference(scs_inference,[],[216,208,190,194,144,101,89,117])).
% 18.63/18.76 cnf(251,plain,
% 18.63/18.76 (P5(f8(a12,a13),f4(a12,f8(a12,a13)))),
% 18.63/18.76 inference(scs_inference,[],[216,208,190,194,144,101,89,117,115])).
% 18.63/18.76 cnf(255,plain,
% 18.63/18.76 (P6(a13,f16(f8(a12,a13),a13))),
% 18.63/18.76 inference(scs_inference,[],[216,208,192,190,194,144,101,89,117,115,113,110])).
% 18.63/18.76 cnf(261,plain,
% 18.63/18.76 (P6(f24(a12,f10(a3),f11(a3)),a12)),
% 18.63/18.76 inference(scs_inference,[],[216,208,192,190,200,194,144,101,89,117,115,113,110,154,153,152])).
% 18.63/18.76 cnf(263,plain,
% 18.63/18.76 (P5(f11(a3),f7(a12,f10(a3),f11(a3)))),
% 18.63/18.76 inference(scs_inference,[],[216,208,192,190,200,194,144,101,89,117,115,113,110,154,153,152,151])).
% 18.63/18.76 cnf(265,plain,
% 18.63/18.76 (P5(f10(a3),f6(a12,f10(a3),f11(a3)))),
% 18.63/18.76 inference(scs_inference,[],[216,208,192,190,200,194,144,101,89,117,115,113,110,154,153,152,151,150])).
% 18.63/18.76 cnf(267,plain,
% 18.63/18.76 (P13(f10(a3),f24(a12,f10(a3),f11(a3)))),
% 18.63/18.76 inference(scs_inference,[],[216,208,192,190,200,194,144,101,89,117,115,113,110,154,153,152,151,150,149])).
% 18.63/18.76 cnf(269,plain,
% 18.63/18.76 (P13(f11(a3),f24(a12,f10(a3),f11(a3)))),
% 18.63/18.76 inference(scs_inference,[],[216,208,192,190,200,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148])).
% 18.63/18.76 cnf(272,plain,
% 18.63/18.76 (P12(f9(a3),f11(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[216,208,192,190,200,202,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155])).
% 18.63/18.76 cnf(274,plain,
% 18.63/18.76 (~P5(f11(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[216,208,218,192,190,200,202,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105])).
% 18.63/18.76 cnf(281,plain,
% 18.63/18.76 (~P12(f9(a3),f9(a3),a12)),
% 18.63/18.76 inference(scs_inference,[],[75,87,88,80,216,208,218,192,190,200,202,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156])).
% 18.63/18.76 cnf(283,plain,
% 18.63/18.76 (P1(f14(a3))),
% 18.63/18.76 inference(scs_inference,[],[77,75,87,88,80,216,208,218,192,190,200,202,180,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99])).
% 18.63/18.76 cnf(285,plain,
% 18.63/18.76 (~P8(f11(a3),f10(a3))),
% 18.63/18.76 inference(scs_inference,[],[77,75,87,88,80,216,208,218,192,190,200,202,180,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106])).
% 18.63/18.76 cnf(289,plain,
% 18.63/18.76 (~E(f11(a3),f8(a12,a13))),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,192,190,200,202,180,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47])).
% 18.63/18.77 cnf(291,plain,
% 18.63/18.77 (~P7(f10(a3),f24(a12,f10(a3),f11(a3)))),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,192,190,200,202,180,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47,46,143])).
% 18.63/18.77 cnf(293,plain,
% 18.63/18.77 (P12(f10(a3),f21(f10(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,192,190,200,202,180,204,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47,46,143,146])).
% 18.63/18.77 cnf(295,plain,
% 18.63/18.77 (P6(f10(f10(a3)),a26)),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,228,192,190,200,202,180,204,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47,46,143,146,130])).
% 18.63/18.77 cnf(297,plain,
% 18.63/18.77 (P6(f9(f10(a3)),a1)),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,228,192,190,200,202,180,204,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47,46,143,146,130,129])).
% 18.63/18.77 cnf(299,plain,
% 18.63/18.77 (~P12(x2991,f8(a12,a13),f16(f8(a12,a13),a13))),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,228,192,190,200,202,180,204,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47,46,143,146,130,129,142])).
% 18.63/18.77 cnf(301,plain,
% 18.63/18.77 (P12(f19(f9(a3),f11(a3),a12),f11(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,228,192,190,200,202,220,180,204,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47,46,143,146,130,129,142,160])).
% 18.63/18.77 cnf(303,plain,
% 18.63/18.77 (P12(f9(a3),f19(f9(a3),f11(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,228,192,190,200,202,220,180,204,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47,46,143,146,130,129,142,160,159])).
% 18.63/18.77 cnf(305,plain,
% 18.63/18.77 (P11(f10(a3),f9(f10(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,228,192,190,200,202,220,180,204,206,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47,46,143,146,130,129,142,160,159,139])).
% 18.63/18.77 cnf(308,plain,
% 18.63/18.77 (~P8(x3081,f10(a3))+~P8(f11(a3),x3081)),
% 18.63/18.77 inference(scs_inference,[],[77,75,87,88,80,216,208,218,228,192,190,200,202,220,180,198,204,206,226,194,144,101,89,117,115,113,110,154,153,152,151,150,149,148,61,155,105,128,135,42,156,99,106,70,69,47,46,143,146,130,129,142,160,159,139,53,109])).
% 18.63/18.77 cnf(320,plain,
% 18.63/18.77 (P16(f8(a12,a13),f4(a12,f8(a12,a13)))),
% 18.63/18.77 inference(scs_inference,[],[251,216,105])).
% 18.63/18.77 cnf(322,plain,
% 18.63/18.77 (~P15(f11(a3),f10(a3))),
% 18.63/18.77 inference(scs_inference,[],[251,285,216,105,101])).
% 18.63/18.77 cnf(326,plain,
% 18.63/18.77 (~P12(x3261,f8(a12,a13),f4(a12,f8(a12,a13)))),
% 18.63/18.77 inference(scs_inference,[],[299,251,285,216,105,101,144,135])).
% 18.63/18.77 cnf(328,plain,
% 18.63/18.77 (~P2(a13)),
% 18.63/18.77 inference(scs_inference,[],[79,87,299,251,285,216,105,101,144,135,99])).
% 18.63/18.77 cnf(330,plain,
% 18.63/18.77 (~P12(a3,a3,a12)),
% 18.63/18.77 inference(scs_inference,[],[79,87,299,251,285,243,216,194,105,101,144,135,99,156])).
% 18.63/18.77 cnf(332,plain,
% 18.63/18.77 (~P11(a13,x3321,x3322)),
% 18.63/18.77 inference(scs_inference,[],[79,87,299,251,285,243,216,194,105,101,144,135,99,156,132])).
% 18.63/18.77 cnf(337,plain,
% 18.63/18.77 (~P12(f11(a3),f10(a3),x3371)),
% 18.63/18.77 inference(scs_inference,[],[79,87,247,299,251,285,305,243,216,194,105,101,144,135,99,156,132,72,51,43,133])).
% 18.63/18.77 cnf(339,plain,
% 18.63/18.77 (~P11(x3391,a13,x3392)),
% 18.63/18.77 inference(scs_inference,[],[79,87,247,299,251,285,305,243,216,194,105,101,144,135,99,156,132,72,51,43,133,131])).
% 18.63/18.77 cnf(372,plain,
% 18.63/18.77 (P2(f9(f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[305,131])).
% 18.63/18.77 cnf(374,plain,
% 18.63/18.77 (~E(f9(f10(a3)),a13)),
% 18.63/18.77 inference(scs_inference,[],[339,305,131,44])).
% 18.63/18.77 cnf(376,plain,
% 18.63/18.77 (P15(f9(a3),f11(a3))),
% 18.63/18.77 inference(scs_inference,[],[272,339,305,131,44,133])).
% 18.63/18.77 cnf(378,plain,
% 18.63/18.77 (~P12(f11(a3),f9(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[272,339,305,281,131,44,133,155])).
% 18.63/18.77 cnf(380,plain,
% 18.63/18.77 (P12(f10(a3),f9(f10(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[272,339,305,281,131,44,133,155,144])).
% 18.63/18.77 cnf(382,plain,
% 18.63/18.77 (P2(f11(a3))),
% 18.63/18.77 inference(scs_inference,[],[272,339,305,281,218,131,44,133,155,144,89])).
% 18.63/18.77 cnf(385,plain,
% 18.63/18.77 (~P16(f21(f10(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[84,272,339,305,293,281,218,131,44,133,155,144,89,2,135])).
% 18.63/18.77 cnf(387,plain,
% 18.63/18.77 (~P6(f8(a12,a13),a12)),
% 18.63/18.77 inference(scs_inference,[],[84,87,272,339,247,305,293,281,218,131,44,133,155,144,89,2,135,99])).
% 18.63/18.77 cnf(389,plain,
% 18.63/18.77 (~P11(a3,f11(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[84,87,272,339,247,305,293,281,243,218,131,44,133,155,144,89,2,135,99,156])).
% 18.63/18.77 cnf(402,plain,
% 18.63/18.77 (P8(f9(a3),f11(a3))),
% 18.63/18.77 inference(scs_inference,[],[376,101])).
% 18.63/18.77 cnf(404,plain,
% 18.63/18.77 (~P8(f11(a3),f9(a3))),
% 18.63/18.77 inference(scs_inference,[],[376,101,106])).
% 18.63/18.77 cnf(406,plain,
% 18.63/18.77 (~P1(f16(f8(a12,a13),a13))),
% 18.63/18.77 inference(scs_inference,[],[376,255,328,101,106,100])).
% 18.63/18.77 cnf(409,plain,
% 18.63/18.77 (P12(f9(a3),f9(f10(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[376,255,380,389,328,202,194,101,106,100,44,155])).
% 18.63/18.77 cnf(411,plain,
% 18.63/18.77 (~P11(x4111,f8(a12,a13),f4(a12,f8(a12,a13)))),
% 18.63/18.77 inference(scs_inference,[],[326,376,255,380,389,328,202,194,101,106,100,44,155,144])).
% 18.63/18.77 cnf(413,plain,
% 18.63/18.77 (~P10(a13)),
% 18.63/18.77 inference(scs_inference,[],[326,376,255,380,389,328,202,194,101,106,100,44,155,144,89])).
% 18.63/18.77 cnf(415,plain,
% 18.63/18.77 (~P16(f9(f10(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[326,376,255,380,389,328,202,194,101,106,100,44,155,144,89,135])).
% 18.63/18.77 cnf(417,plain,
% 18.63/18.77 (~P2(f24(a12,f10(a3),f11(a3)))),
% 18.63/18.77 inference(scs_inference,[],[87,326,376,255,380,261,389,328,202,194,101,106,100,44,155,144,89,135,99])).
% 18.63/18.77 cnf(419,plain,
% 18.63/18.77 (~P11(f9(a3),f9(f10(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[87,326,376,255,380,261,389,328,202,194,101,106,100,44,155,144,89,135,99,156])).
% 18.63/18.77 cnf(423,plain,
% 18.63/18.77 (~P11(x4231,f24(a12,f10(a3),f11(a3)),x4232)),
% 18.63/18.77 inference(scs_inference,[],[87,326,376,255,380,261,389,328,202,218,194,101,106,100,44,155,144,89,135,99,156,48,63,131])).
% 18.63/18.77 cnf(436,plain,
% 18.63/18.77 (~P12(f11(a3),f9(a3),x4361)),
% 18.63/18.77 inference(scs_inference,[],[214,404,90,101,133])).
% 18.63/18.77 cnf(438,plain,
% 18.63/18.77 (P2(f10(f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[74,295,214,404,90,101,133,100])).
% 18.63/18.77 cnf(440,plain,
% 18.63/18.77 (~P12(f11(a3),a3,a12)),
% 18.63/18.77 inference(scs_inference,[],[74,295,214,404,378,243,90,101,133,100,155])).
% 18.63/18.77 cnf(442,plain,
% 18.63/18.77 (~P12(f10(a3),f9(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[74,295,214,404,409,378,243,305,90,101,133,100,155,156])).
% 18.63/18.77 cnf(446,plain,
% 18.63/18.77 (P4(f11(a3))),
% 18.63/18.77 inference(scs_inference,[],[74,411,295,269,214,404,409,415,378,243,305,190,90,101,133,100,155,156,61,45,96])).
% 18.63/18.77 cnf(454,plain,
% 18.63/18.77 (~P15(x4541,a13)),
% 18.63/18.77 inference(scs_inference,[],[74,411,295,269,182,214,283,404,409,415,378,413,180,243,305,190,90,101,133,100,155,156,61,45,96,95,91,118,92])).
% 18.63/18.77 cnf(456,plain,
% 18.63/18.77 (~P16(a13,x4561)),
% 18.63/18.77 inference(scs_inference,[],[74,411,295,269,182,214,283,404,409,415,378,413,180,243,305,190,90,101,133,100,155,156,61,45,96,95,91,118,92,93])).
% 18.63/18.77 cnf(464,plain,
% 18.63/18.77 (P6(a3,f15(a3,f14(a3)))),
% 18.63/18.77 inference(scs_inference,[],[74,423,411,295,269,337,182,214,283,404,409,415,378,413,180,243,305,190,194,90,101,133,100,155,156,61,45,96,95,91,118,92,93,44,144,116,112])).
% 18.63/18.77 cnf(466,plain,
% 18.63/18.77 (P1(f15(a3,f14(a3)))),
% 18.63/18.77 inference(scs_inference,[],[74,423,411,295,269,337,182,214,283,404,409,415,378,413,180,243,305,190,194,90,101,133,100,155,156,61,45,96,95,91,118,92,93,44,144,116,112,108])).
% 18.63/18.77 cnf(472,plain,
% 18.63/18.77 (P6(f24(a12,a3,f9(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[74,423,411,295,269,337,182,214,283,404,409,415,378,413,180,243,305,190,194,90,101,133,100,155,156,61,45,96,95,91,118,92,93,44,144,116,112,108,154,153,152])).
% 18.63/18.77 cnf(476,plain,
% 18.63/18.77 (P3(a1)),
% 18.63/18.77 inference(scs_inference,[],[74,423,411,295,297,269,337,182,214,283,404,409,415,378,413,180,243,305,190,194,90,101,133,100,155,156,61,45,96,95,91,118,92,93,44,144,116,112,108,154,153,152,150,97])).
% 18.63/18.77 cnf(478,plain,
% 18.63/18.77 (~P9(f9(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[74,423,411,295,297,269,337,182,214,283,404,409,415,378,413,180,243,305,190,194,90,101,133,100,155,156,61,45,96,95,91,118,92,93,44,144,116,112,108,154,153,152,150,97,136])).
% 18.63/18.77 cnf(487,plain,
% 18.63/18.77 (P6(f10(a3),f14(f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[80,74,423,411,295,297,222,269,337,182,214,283,402,404,409,415,249,378,413,320,180,243,228,305,190,194,79,90,101,133,100,155,156,61,45,96,95,91,118,92,93,44,144,116,112,108,154,153,152,150,97,136,68,67,65,62,56,134,98])).
% 18.63/18.77 cnf(499,plain,
% 18.63/18.77 (P5(f10(a3),f7(a12,f9(a3),f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[202,151])).
% 18.63/18.77 cnf(501,plain,
% 18.63/18.77 (P13(f9(a3),f24(a12,f9(a3),f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[202,151,149])).
% 18.63/18.77 cnf(503,plain,
% 18.63/18.77 (P13(f10(a3),f24(a12,f9(a3),f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[202,151,149,148])).
% 18.63/18.77 cnf(505,plain,
% 18.63/18.77 (~P7(f9(a3),f24(a12,a3,f9(a3)))),
% 18.63/18.77 inference(scs_inference,[],[472,409,202,151,149,148,143])).
% 18.63/18.77 cnf(509,plain,
% 18.63/18.77 (P15(f19(f9(a3),f11(a3),a12),f11(a3))),
% 18.63/18.77 inference(scs_inference,[],[472,301,409,202,151,149,148,143,94,133])).
% 18.63/18.77 cnf(513,plain,
% 18.63/18.77 (~P10(f24(a12,f10(a3),f11(a3)))),
% 18.63/18.77 inference(scs_inference,[],[73,417,472,301,409,202,151,149,148,143,94,133,100,89])).
% 18.63/18.77 cnf(515,plain,
% 18.63/18.77 (P1(f14(f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[73,417,487,472,301,409,202,228,151,149,148,143,94,133,100,89,99])).
% 18.63/18.77 cnf(517,plain,
% 18.63/18.77 (~P12(f21(f10(a3),a12),f9(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[73,417,487,442,472,301,409,293,202,228,151,149,148,143,94,133,100,89,99,155])).
% 18.63/18.77 cnf(519,plain,
% 18.63/18.77 (~P11(a3,f9(f10(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[73,417,487,442,472,301,409,293,202,228,243,151,149,148,143,94,133,100,89,99,155,156])).
% 18.63/18.77 cnf(524,plain,
% 18.63/18.77 (~P11(f24(a12,f10(a3),f11(a3)),x5241,x5242)),
% 18.63/18.77 inference(scs_inference,[],[417,132])).
% 18.63/18.77 cnf(528,plain,
% 18.63/18.77 (P12(f9(a3),f21(f9(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[82,478,297,417,243,132,107,146])).
% 18.63/18.77 cnf(531,plain,
% 18.63/18.77 (~P16(a13,x5311)),
% 18.63/18.77 inference(rename_variables,[],[456])).
% 18.63/18.77 cnf(533,plain,
% 18.63/18.77 (~P17(f19(f9(a3),f11(a3),a12),a13)),
% 18.63/18.77 inference(scs_inference,[],[82,478,297,456,417,303,243,79,132,107,146,113,142])).
% 18.63/18.77 cnf(535,plain,
% 18.63/18.77 (~E(a3,f11(a3))),
% 18.63/18.77 inference(scs_inference,[],[82,436,478,297,456,417,303,243,79,132,107,146,113,142,46])).
% 18.63/18.77 cnf(536,plain,
% 18.63/18.77 (~P12(f11(a3),f9(a3),x5361)),
% 18.63/18.77 inference(rename_variables,[],[436])).
% 18.63/18.77 cnf(542,plain,
% 18.63/18.77 (~E(a26,a25)),
% 18.63/18.77 inference(scs_inference,[],[85,171,75,82,513,406,436,330,478,297,456,417,303,472,243,79,132,107,146,113,142,46,53,47,93,42,2])).
% 18.63/18.77 cnf(547,plain,
% 18.63/18.77 (~P16(f19(f9(a3),f11(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[85,171,75,82,87,513,406,372,436,454,330,478,297,456,417,303,472,243,79,132,107,146,113,142,46,53,47,93,42,2,133,99,135])).
% 18.63/18.77 cnf(549,plain,
% 18.63/18.77 (P12(a3,f19(f9(a3),f11(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[85,171,75,82,87,513,406,372,436,454,330,478,297,456,417,303,472,243,79,132,107,146,113,142,46,53,47,93,42,2,133,99,135,155])).
% 18.63/18.77 cnf(553,plain,
% 18.63/18.77 (~P12(f11(a3),f9(f10(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[85,171,75,82,87,513,406,372,436,536,454,330,478,297,456,417,303,472,305,243,200,79,132,107,146,113,142,46,53,47,93,42,2,133,99,135,155,144,156])).
% 18.63/18.77 cnf(557,plain,
% 18.63/18.77 (~P9(a13,x5571)),
% 18.63/18.77 inference(scs_inference,[],[85,171,75,82,87,513,406,372,436,536,454,330,478,297,456,531,417,303,472,305,243,200,79,132,107,146,113,142,46,53,47,93,42,2,133,99,135,155,144,156,122,138])).
% 18.63/18.77 cnf(586,plain,
% 18.63/18.77 (~P6(f9(f10(a3)),a26)),
% 18.63/18.77 inference(scs_inference,[],[173,557,533,263,297,192,218,114,57,105,107])).
% 18.63/18.77 cnf(594,plain,
% 18.63/18.77 (P15(f9(a3),f21(f9(a3),a12))),
% 18.63/18.77 inference(scs_inference,[],[173,171,524,528,557,533,464,263,301,297,261,192,218,305,114,57,105,107,43,142,54,53,133])).
% 18.63/18.77 cnf(596,plain,
% 18.63/18.77 (~P6(f11(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[173,171,87,524,528,382,557,533,464,263,301,297,261,192,218,305,114,57,105,107,43,142,54,53,133,99])).
% 18.63/18.77 cnf(598,plain,
% 18.63/18.77 (~P12(x5981,f11(a3),f7(a12,f10(a3),f11(a3)))),
% 18.63/18.77 inference(scs_inference,[],[173,171,87,524,528,382,557,533,464,263,301,297,261,192,218,305,114,57,105,107,43,142,54,53,133,99,135])).
% 18.63/18.77 cnf(600,plain,
% 18.63/18.77 (~P12(f21(f10(a3),a12),a3,a12)),
% 18.63/18.77 inference(scs_inference,[],[173,171,87,524,528,382,557,533,517,464,263,301,297,261,192,218,305,243,114,57,105,107,43,142,54,53,133,99,135,155])).
% 18.63/18.77 cnf(602,plain,
% 18.63/18.77 (~P12(f10(a3),f10(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[173,171,87,524,528,382,557,533,517,464,263,301,297,380,261,192,218,305,243,114,57,105,107,43,142,54,53,133,99,135,155,156])).
% 18.63/18.77 cnf(627,plain,
% 18.63/18.77 (~P15(x6271,f24(a12,f10(a3),f11(a3)))),
% 18.63/18.77 inference(scs_inference,[],[594,454,513,72,92])).
% 18.63/18.77 cnf(631,plain,
% 18.63/18.77 (~P2(f24(a12,a3,f9(a3)))),
% 18.63/18.77 inference(scs_inference,[],[87,594,454,513,472,72,92,133,99])).
% 18.63/18.77 cnf(633,plain,
% 18.63/18.77 (P12(a3,f11(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[87,594,549,454,513,301,472,72,92,133,99,155])).
% 18.63/18.77 cnf(635,plain,
% 18.63/18.77 (~P16(f21(f9(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[87,594,549,454,513,528,301,472,72,92,133,99,155,135])).
% 18.63/18.77 cnf(637,plain,
% 18.63/18.77 (~P11(a3,f21(f9(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[87,594,549,454,513,528,301,472,243,72,92,133,99,155,135,156])).
% 18.63/18.77 cnf(639,plain,
% 18.63/18.77 (P5(f9(a3),f6(a12,f9(a3),f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[87,594,549,454,513,528,301,472,202,243,72,92,133,99,155,135,156,150])).
% 18.63/18.77 cnf(645,plain,
% 18.63/18.77 (P12(a3,f19(a3,f11(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[86,87,594,549,389,454,464,406,513,528,255,301,472,202,243,72,92,133,99,155,135,156,150,126,97,159])).
% 18.63/18.77 cnf(647,plain,
% 18.63/18.77 (~E(f10(a3),f9(a3))),
% 18.63/18.77 inference(scs_inference,[],[86,87,419,594,549,389,454,464,406,513,528,255,301,472,202,305,243,72,92,133,99,155,135,156,150,126,97,159,43])).
% 18.63/18.77 cnf(648,plain,
% 18.63/18.77 (~P11(x6481,f24(a12,a3,f9(a3)),x6482)),
% 18.63/18.77 inference(scs_inference,[],[86,87,419,594,549,389,454,464,406,513,528,255,301,472,202,305,243,72,92,133,99,155,135,156,150,126,97,159,43,131])).
% 18.63/18.77 cnf(650,plain,
% 18.63/18.77 (~P10(f24(a12,a3,f9(a3)))),
% 18.63/18.77 inference(scs_inference,[],[86,87,419,594,549,389,454,464,406,513,528,255,301,472,202,305,243,72,92,133,99,155,135,156,150,126,97,159,43,131,89])).
% 18.63/18.77 cnf(658,plain,
% 18.63/18.77 (P4(f9(a3))),
% 18.63/18.77 inference(scs_inference,[],[86,87,419,594,501,549,600,389,454,464,406,513,528,255,301,472,202,77,305,243,80,79,72,92,133,99,155,135,156,150,126,97,159,43,131,89,147,125,136,96])).
% 18.63/18.77 cnf(660,plain,
% 18.63/18.77 (P4(f24(a12,f9(a3),f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[86,87,419,594,503,501,549,600,389,454,464,406,513,528,255,301,472,202,77,305,243,80,79,72,92,133,99,155,135,156,150,126,97,159,43,131,89,147,125,136,96,95])).
% 18.63/18.77 cnf(668,plain,
% 18.63/18.77 (P6(f24(a12,f9(a3),f10(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[86,87,419,594,503,501,446,549,600,389,454,464,406,513,528,255,301,472,202,77,305,243,80,79,72,92,133,99,155,135,156,150,126,97,159,43,131,89,147,125,136,96,95,90,154,153,152])).
% 18.63/18.77 cnf(674,plain,
% 18.63/18.77 (P12(f19(a3,f11(a3),a12),f11(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[86,87,419,594,503,501,446,549,600,389,454,464,406,245,513,528,255,301,472,202,190,77,305,243,80,79,72,92,133,99,155,135,156,150,126,97,159,43,131,89,147,125,136,96,95,90,154,153,152,109,127,160])).
% 18.63/18.77 cnf(680,plain,
% 18.63/18.77 (~P13(f9(a3),f24(a12,a3,f9(a3)))+P11(f9(a3),f9(f9(a3)),a12)),
% 18.63/18.77 inference(scs_inference,[],[86,87,419,594,503,501,446,549,600,505,389,454,464,406,222,245,513,528,210,255,301,472,202,190,77,305,243,80,79,72,92,133,99,155,135,156,150,126,97,159,43,131,89,147,125,136,96,95,90,154,153,152,109,127,160,128,129,139])).
% 18.63/18.77 cnf(682,plain,
% 18.63/18.77 (P6(a13,f14(a13))),
% 18.63/18.77 inference(scs_inference,[],[176,98])).
% 18.63/18.77 cnf(684,plain,
% 18.63/18.77 (P10(f21(f9(a3),a12))),
% 18.63/18.77 inference(scs_inference,[],[176,594,98,92])).
% 18.63/18.77 cnf(687,plain,
% 18.63/18.77 (~P1(f14(a13))),
% 18.63/18.77 inference(scs_inference,[],[176,650,594,328,216,98,92,63,100])).
% 18.63/18.77 cnf(689,plain,
% 18.63/18.77 (P2(f21(f9(a3),a12))),
% 18.63/18.77 inference(scs_inference,[],[176,650,594,328,216,98,92,63,100,89])).
% 18.63/18.77 cnf(691,plain,
% 18.63/18.77 (P15(f19(a3,f11(a3),a12),f11(a3))),
% 18.63/18.77 inference(scs_inference,[],[176,650,674,594,328,216,98,92,63,100,89,133])).
% 18.63/18.77 cnf(695,plain,
% 18.63/18.77 (P12(f9(a3),f21(f10(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[176,87,650,674,438,594,328,293,216,202,98,92,63,100,89,133,99,155])).
% 18.63/18.77 cnf(697,plain,
% 18.63/18.77 (~P12(f19(a3,f11(a3),a12),f9(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[176,87,650,674,645,438,594,328,293,216,194,202,98,92,63,100,89,133,99,155,156])).
% 18.63/18.77 cnf(699,plain,
% 18.63/18.77 (P13(f8(f14(a13),a13),a13)),
% 18.63/18.77 inference(scs_inference,[],[176,87,650,674,645,438,594,328,293,216,194,202,98,92,63,100,89,133,99,155,156,124])).
% 18.63/18.77 cnf(701,plain,
% 18.63/18.77 (P16(f8(f14(a13),a13),f14(a13))),
% 18.63/18.77 inference(scs_inference,[],[176,87,650,674,645,438,594,328,293,216,194,202,98,92,63,100,89,133,99,155,156,124,123])).
% 18.63/18.77 cnf(703,plain,
% 18.63/18.77 (E(a3,f10(a3))+~P12(f9(a3),a3,a12)),
% 18.63/18.77 inference(scs_inference,[],[176,87,650,535,674,645,438,594,328,293,216,194,88,202,77,80,79,98,92,63,100,89,133,99,155,156,124,123,145])).
% 18.63/18.77 cnf(733,plain,
% 18.63/18.77 (P3(f14(a13))),
% 18.63/18.77 inference(scs_inference,[],[682,97])).
% 18.63/18.77 cnf(737,plain,
% 18.63/18.77 (~P12(x7371,f8(a12,a13),f14(a13))),
% 18.63/18.77 inference(scs_inference,[],[598,682,633,192,97,48,142])).
% 18.63/18.77 cnf(739,plain,
% 18.63/18.77 (~E(f11(a3),f24(a12,f10(a3),f11(a3)))),
% 18.63/18.77 inference(scs_inference,[],[598,691,682,627,633,192,97,48,142,72])).
% 18.63/18.77 cnf(741,plain,
% 18.63/18.77 (~P15(x7411,f24(a12,a3,f9(a3)))),
% 18.63/18.77 inference(scs_inference,[],[598,691,682,627,650,633,192,97,48,142,72,92])).
% 18.63/18.77 cnf(745,plain,
% 18.63/18.77 (~P6(f24(a12,a3,f9(a3)),a26)),
% 18.63/18.77 inference(scs_inference,[],[74,598,691,682,627,631,650,633,192,97,48,142,72,92,93,100])).
% 18.63/18.77 cnf(752,plain,
% 18.63/18.77 (~P2(f24(a12,f9(a3),f10(a3)))),
% 18.63/18.77 inference(scs_inference,[],[74,83,171,87,598,691,697,682,627,631,650,633,674,668,192,97,48,142,72,92,93,100,53,47,2,133,99])).
% 18.63/18.77 cnf(756,plain,
% 18.63/18.77 (~P12(f9(f10(a3)),f9(a3),a12)),
% 18.63/18.77 inference(scs_inference,[],[74,83,171,87,648,598,691,697,682,627,631,650,633,674,668,442,192,380,194,97,48,142,72,92,93,100,53,47,2,133,99,44,155])).
% 18.63/18.77 cnf(758,plain,
% 18.63/18.77 (~P16(f19(a3,f11(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[74,83,171,87,648,598,691,697,682,627,631,650,633,674,645,668,442,192,380,194,97,48,142,72,92,93,100,53,47,2,133,99,44,155,135])).
% 18.63/18.77 cnf(762,plain,
% 18.63/18.77 (~P6(f10(f10(a3)),a1)),
% 18.63/18.77 inference(scs_inference,[],[74,83,173,171,87,648,598,691,697,682,627,631,650,633,674,645,668,442,295,404,192,380,194,97,48,142,72,92,93,100,53,47,2,133,99,44,155,135,109,107])).
% 18.63/18.77 cnf(775,plain,
% 18.63/18.77 (P13(f11(a3),f24(a12,a3,f11(a3)))),
% 18.63/18.77 inference(scs_inference,[],[633,148])).
% 18.63/18.77 cnf(781,plain,
% 18.63/18.77 (P16(f11(a3),f7(a12,a3,f11(a3)))),
% 18.63/18.77 inference(scs_inference,[],[295,633,218,148,151,94,105])).
% 18.63/18.77 cnf(785,plain,
% 18.63/18.77 (P8(f19(f9(a3),f11(a3),a12),f11(a3))),
% 18.63/18.77 inference(scs_inference,[],[84,509,295,633,297,218,148,151,94,105,107,101])).
% 18.63/18.77 cnf(791,plain,
% 18.63/18.77 (P10(f8(f14(a13),a13))),
% 18.63/18.77 inference(scs_inference,[],[84,741,701,695,509,295,633,297,218,79,148,151,94,105,107,101,142,72,93])).
% 18.63/18.77 cnf(793,plain,
% 18.63/18.77 (~P6(f24(a12,f9(a3),f10(a3)),a2)),
% 18.63/18.77 inference(scs_inference,[],[75,84,752,741,701,695,509,295,633,297,218,79,148,151,94,105,107,101,142,72,93,100])).
% 18.63/18.77 cnf(795,plain,
% 18.63/18.77 (~P11(x7951,f8(a12,a13),f14(a13))),
% 18.63/18.77 inference(scs_inference,[],[75,84,752,741,737,701,695,509,295,633,297,218,79,148,151,94,105,107,101,142,72,93,100,144])).
% 18.63/18.77 cnf(798,plain,
% 18.63/18.77 (P15(f9(a3),f21(f10(a3),a12))),
% 18.63/18.77 inference(scs_inference,[],[75,84,752,741,737,701,695,745,509,196,295,633,297,218,79,148,151,94,105,107,101,142,72,93,100,144,53,133])).
% 18.63/18.77 cnf(800,plain,
% 18.63/18.77 (P2(f8(f14(a13),a13))),
% 18.63/18.77 inference(scs_inference,[],[75,84,752,741,737,701,695,745,509,196,295,633,297,218,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89])).
% 18.63/18.77 cnf(803,plain,
% 18.63/18.77 (P12(a3,f21(f10(a3),a12),a12)),
% 18.63/18.77 inference(scs_inference,[],[75,84,752,741,737,701,519,695,745,509,196,295,633,297,218,194,243,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89,44,155])).
% 18.63/18.78 cnf(805,plain,
% 18.63/18.78 (~P12(x8051,f8(f14(a13),a13),f14(a13))),
% 18.63/18.78 inference(scs_inference,[],[75,84,752,741,737,701,519,695,745,509,196,295,633,297,218,194,243,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89,44,155,135])).
% 18.63/18.78 cnf(808,plain,
% 18.63/18.78 (~P8(f11(a3),f19(f9(a3),f11(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[75,176,84,752,741,737,701,519,695,745,509,196,295,633,297,218,194,243,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89,44,155,135,66,106])).
% 18.63/18.78 cnf(811,plain,
% 18.63/18.78 (~P7(f9(a3),f24(a12,f9(a3),f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[75,176,84,752,741,737,701,519,695,745,509,196,295,633,668,206,297,218,194,243,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89,44,155,135,66,106,62,143])).
% 18.63/18.78 cnf(813,plain,
% 18.63/18.78 (P10(f21(f10(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[75,176,84,752,741,737,701,519,695,745,509,196,295,633,668,206,297,218,194,243,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89,44,155,135,66,106,62,143,92])).
% 18.63/18.78 cnf(815,plain,
% 18.63/18.78 (~E(f8(a12,a13),f19(a3,f11(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[75,176,84,752,741,737,701,519,758,695,745,509,196,295,633,668,206,297,218,190,194,243,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89,44,155,135,66,106,62,143,92,61])).
% 18.63/18.78 cnf(816,plain,
% 18.63/18.78 (~E(a3,f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[75,176,84,752,741,737,701,519,758,695,745,509,196,295,633,668,206,297,218,190,194,243,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89,44,155,135,66,106,62,143,92,61,35])).
% 18.63/18.78 cnf(818,plain,
% 18.63/18.78 (P5(f10(a3),x8181)+~P14(x8181,a26)),
% 18.63/18.78 inference(scs_inference,[],[75,176,84,752,741,737,701,519,699,758,695,745,509,196,295,633,668,74,206,297,218,190,194,243,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89,44,155,135,66,106,62,143,92,61,35,55,118])).
% 18.63/18.78 cnf(822,plain,
% 18.63/18.78 (~P11(f24(a12,f9(a3),f10(a3)),x8221,x8222)),
% 18.63/18.78 inference(scs_inference,[],[75,176,84,752,741,737,701,519,699,758,695,745,509,188,196,247,295,633,668,74,206,297,218,190,194,243,79,148,151,94,105,107,101,142,72,93,100,144,53,133,89,44,155,135,66,106,62,143,92,61,35,55,118,129,132])).
% 18.63/18.78 cnf(838,plain,
% 18.63/18.78 (~P12(f9(a3),a3,a12)),
% 18.63/18.78 inference(scs_inference,[],[816,703])).
% 18.63/18.78 cnf(840,plain,
% 18.63/18.78 (~P9(a3,f14(a13))),
% 18.63/18.78 inference(scs_inference,[],[682,88,80,128])).
% 18.63/18.78 cnf(849,plain,
% 18.63/18.78 (~P11(x8491,f24(a12,f9(a3),f10(a3)),x8492)),
% 18.63/18.78 inference(scs_inference,[],[76,87,808,813,385,752,674,682,668,88,80,128,105,142,101,42,131])).
% 18.63/18.78 cnf(852,plain,
% 18.63/18.78 (~P12(f11(a3),f19(f9(a3),f11(a3),a12),x8521)),
% 18.63/18.78 inference(scs_inference,[],[76,87,808,813,793,385,752,674,682,668,88,80,128,105,142,101,42,131,54,133])).
% 18.63/18.78 cnf(854,plain,
% 18.63/18.78 (~P10(f24(a12,f9(a3),f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[76,87,808,813,793,385,752,674,682,668,88,80,128,105,142,101,42,131,54,133,89])).
% 18.63/18.78 cnf(856,plain,
% 18.63/18.78 (~P16(f10(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[76,87,808,813,793,385,752,674,682,668,88,202,80,128,105,142,101,42,131,54,133,89,135])).
% 18.63/18.78 cnf(858,plain,
% 18.63/18.78 (P12(a3,f21(f9(a3),a12),a12)),
% 18.63/18.78 inference(scs_inference,[],[76,87,808,813,793,385,752,674,682,528,668,88,202,243,80,128,105,142,101,42,131,54,133,89,135,155])).
% 18.63/18.78 cnf(864,plain,
% 18.63/18.78 (P6(f10(f9(a3)),a26)),
% 18.63/18.78 inference(scs_inference,[],[76,85,87,808,815,813,793,811,385,752,501,674,682,528,668,210,192,88,202,243,80,128,105,142,101,42,131,54,133,89,135,155,126,125,130])).
% 18.63/18.78 cnf(869,plain,
% 18.63/18.78 (~P16(f24(a12,f9(a3),f10(a3)),x8691)),
% 18.63/18.78 inference(scs_inference,[],[76,85,87,808,815,813,803,793,811,756,385,752,501,674,682,528,668,210,192,88,202,243,80,128,105,142,101,42,131,54,133,89,135,155,126,125,130,143,46,93])).
% 18.63/18.78 cnf(872,plain,
% 18.63/18.78 (~P15(x8721,f24(a12,f9(a3),f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[76,85,87,808,815,813,803,793,811,798,756,385,752,501,674,454,682,528,668,210,192,88,202,243,80,128,105,142,101,42,131,54,133,89,135,155,126,125,130,143,46,93,72,92])).
% 18.63/18.78 cnf(879,plain,
% 18.63/18.78 (~P5(f21(f9(a3),a12),a12)),
% 18.63/18.78 inference(scs_inference,[],[684,635,633,150,105])).
% 18.63/18.78 cnf(884,plain,
% 18.63/18.78 (P2(f10(f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[76,864,684,687,798,635,74,633,150,105,101,42,100])).
% 18.63/18.78 cnf(886,plain,
% 18.63/18.78 (P15(a3,f21(f9(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[76,864,684,687,858,798,635,74,633,150,105,101,42,100,133])).
% 18.63/18.78 cnf(888,plain,
% 18.63/18.78 (P2(f21(f10(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[76,864,684,687,858,813,798,635,74,633,150,105,101,42,100,133,89])).
% 18.63/18.78 cnf(894,plain,
% 18.63/18.78 (~P12(x8941,f11(a3),f7(a12,a3,f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[76,849,864,684,781,687,858,330,813,798,635,74,633,194,150,105,101,42,100,133,89,44,155,135])).
% 18.63/18.78 cnf(900,plain,
% 18.63/18.78 (P4(f8(f14(a13),a13))),
% 18.63/18.78 inference(scs_inference,[],[76,849,864,684,781,687,858,330,813,798,635,699,674,74,206,633,194,150,105,101,42,100,133,89,44,155,135,138,136,96])).
% 18.63/18.78 cnf(904,plain,
% 18.63/18.78 (P6(f24(a12,a3,f11(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[76,849,864,684,775,781,687,858,330,813,798,635,699,674,74,206,633,194,150,105,101,42,100,133,89,44,155,135,138,136,96,95,152])).
% 18.63/18.78 cnf(912,plain,
% 18.63/18.78 (~P8(f21(f10(a3),a12),f9(a3))),
% 18.63/18.78 inference(scs_inference,[],[76,849,864,684,775,781,658,687,858,330,813,798,635,699,674,74,206,633,194,150,105,101,42,100,133,89,44,155,135,138,136,96,95,152,90,154,153,106])).
% 18.63/18.78 cnf(919,plain,
% 18.63/18.78 (~P2(f24(a12,a3,f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[76,82,87,838,822,849,800,864,684,775,781,658,687,858,330,813,798,635,553,699,674,695,74,206,328,380,633,305,194,150,105,101,42,100,133,89,44,155,135,138,136,96,95,152,90,154,153,106,51,43,46,47,2,99])).
% 18.63/18.78 cnf(923,plain,
% 18.63/18.78 (E(f8(f14(a13),a13),f8(a12,a13))),
% 18.63/18.78 inference(scs_inference,[],[76,82,87,838,822,849,800,864,684,805,775,781,658,687,858,330,813,798,635,553,737,699,188,674,247,695,74,206,328,682,380,633,305,194,150,105,101,42,100,133,89,44,155,135,138,136,96,95,152,90,154,153,106,51,43,46,47,2,99,122,147])).
% 18.63/18.78 cnf(937,plain,
% 18.63/18.78 (~E(f11(a3),f8(f14(a13),a13))),
% 18.63/18.78 inference(scs_inference,[],[923,289,3])).
% 18.63/18.78 cnf(938,plain,
% 18.63/18.78 (P4(f8(a12,a13))),
% 18.63/18.78 inference(scs_inference,[],[923,900,289,3,66])).
% 18.63/18.78 cnf(939,plain,
% 18.63/18.78 (P6(f11(a3),f14(f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[923,900,289,446,3,66,98])).
% 18.63/18.78 cnf(943,plain,
% 18.63/18.78 (P17(f8(f14(a13),a13),a13)),
% 18.63/18.78 inference(scs_inference,[],[923,900,289,446,701,699,682,272,3,66,98,149,127])).
% 18.63/18.78 cnf(950,plain,
% 18.63/18.78 (~P6(f24(a12,a3,f11(a3)),a25)),
% 18.63/18.78 inference(scs_inference,[],[76,923,900,919,894,912,289,446,701,226,487,699,674,682,272,3,66,98,149,127,48,101,54,100])).
% 18.63/18.78 cnf(955,plain,
% 18.63/18.78 (E(f8(a12,a13),f8(f14(a13),a13))),
% 18.63/18.78 inference(scs_inference,[],[76,87,923,900,919,888,894,912,289,387,446,701,226,487,699,674,682,272,3,66,98,149,127,48,101,54,100,99,53,2])).
% 18.63/18.78 cnf(956,plain,
% 18.63/18.78 (P16(f8(a12,a13),f14(a13))),
% 18.63/18.78 inference(scs_inference,[],[76,87,923,900,919,888,894,912,289,387,446,701,226,487,699,674,682,272,3,66,98,149,127,48,101,54,100,99,53,2,61])).
% 18.63/18.78 cnf(959,plain,
% 18.63/18.78 (~P10(f24(a12,a3,f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[76,87,923,900,919,888,894,912,872,289,387,446,701,226,487,699,674,682,272,3,66,98,149,127,48,101,54,100,99,53,2,61,133,89])).
% 18.63/18.78 cnf(961,plain,
% 18.63/18.78 (P12(a3,f9(f10(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[76,87,923,900,919,888,894,912,872,289,387,446,701,226,487,699,409,674,682,272,243,3,66,98,149,127,48,101,54,100,99,53,2,61,133,89,155])).
% 18.63/18.78 cnf(964,plain,
% 18.63/18.78 (~P16(f9(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[76,87,923,900,919,888,795,894,912,872,289,387,446,701,226,487,699,409,674,682,272,243,3,66,98,149,127,48,101,54,100,99,53,2,61,133,89,155,44,135])).
% 18.63/18.78 cnf(973,plain,
% 18.63/18.78 (~E(a12,x9731)+P5(f8(a12,a13),f4(f14(a13),f8(a12,a13)))),
% 18.63/18.78 inference(scs_inference,[],[76,87,923,900,919,888,795,894,912,872,289,387,446,701,226,487,699,409,674,255,297,682,272,305,243,3,66,98,149,127,48,101,54,100,99,53,2,61,133,89,155,44,135,45,97,144,162,117,115])).
% 18.63/18.78 cnf(980,plain,
% 18.63/18.78 (P5(f8(a12,a13),f4(f14(a13),f8(a12,a13)))),
% 18.63/18.78 inference(equality_inference,[],[973])).
% 18.63/18.78 cnf(983,plain,
% 18.63/18.78 (P16(f8(a12,a13),f4(f14(a13),f8(a12,a13)))),
% 18.63/18.78 inference(scs_inference,[],[980,733,216,91,105])).
% 18.63/18.78 cnf(987,plain,
% 18.63/18.78 (~P16(f24(a12,a3,f11(a3)),x9871)),
% 18.63/18.78 inference(scs_inference,[],[959,980,733,886,216,91,105,101,93])).
% 18.63/18.78 cnf(989,plain,
% 18.63/18.78 (~P15(x9891,f24(a12,a3,f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[959,980,733,886,216,91,105,101,93,92])).
% 18.63/18.78 cnf(995,plain,
% 18.63/18.78 (~P12(f10(a3),a3,a12)),
% 18.63/18.78 inference(scs_inference,[],[959,980,852,733,961,886,919,75,216,305,91,105,101,93,92,144,100,156])).
% 18.63/18.78 cnf(1000,plain,
% 18.63/18.78 (~E(f8(a12,a13),f24(a12,f9(a3),f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[171,87,869,959,980,956,689,852,733,961,904,886,919,75,216,305,91,105,101,93,92,144,100,156,99,53,61])).
% 18.63/18.78 cnf(1002,plain,
% 18.63/18.78 (P15(a3,f9(f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[171,87,869,959,980,956,689,852,733,961,904,886,919,75,216,305,91,105,101,93,92,144,100,156,99,53,61,133])).
% 18.63/18.78 cnf(1008,plain,
% 18.63/18.78 (~P12(x10081,f8(a12,a13),f4(f14(a13),f8(a12,a13)))),
% 18.63/18.78 inference(scs_inference,[],[86,171,87,869,959,980,956,689,852,733,637,961,904,886,697,919,75,216,305,194,243,91,105,101,93,92,144,100,156,99,53,61,133,2,155,44,135])).
% 18.63/18.78 cnf(1013,plain,
% 18.63/18.78 (~P8(f21(f9(a3),a12),a3)),
% 18.63/18.78 inference(scs_inference,[],[86,171,87,869,959,980,956,689,852,943,733,637,816,961,904,886,697,919,224,75,216,228,77,305,194,80,243,79,91,105,101,93,92,144,100,156,99,53,61,133,2,155,44,135,147,57,106])).
% 18.63/18.78 cnf(1021,plain,
% 18.63/18.78 (E(x10211,f10(f10(a3)))+E(x10211,f11(f10(a3)))+~P12(f9(f10(a3)),x10211,a12)),
% 18.63/18.78 inference(scs_inference,[],[86,171,87,869,959,980,956,689,852,943,879,733,637,816,840,961,904,886,267,291,697,919,224,382,75,216,228,261,633,77,305,194,80,243,79,91,105,101,93,92,144,100,156,99,53,61,133,2,155,44,135,147,57,106,51,137,157,69,145])).
% 18.63/18.78 cnf(1024,plain,
% 18.63/18.78 (P13(f11(a3),f24(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[272,148])).
% 18.63/18.78 cnf(1027,plain,
% 18.63/18.78 (~P15(f21(f9(a3),a12),a3)),
% 18.63/18.78 inference(scs_inference,[],[854,1013,218,272,148,63,101])).
% 18.63/18.78 cnf(1031,plain,
% 18.63/18.78 (~P12(f19(f9(a3),f11(a3),a12),f9(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[854,1013,1002,549,218,272,194,148,63,101,92,156])).
% 18.63/18.78 cnf(1033,plain,
% 18.63/18.78 (P1(f14(f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[854,939,1013,1002,549,382,218,272,194,148,63,101,92,156,99])).
% 18.63/18.78 cnf(1038,plain,
% 18.63/18.78 (~E(f8(a12,a13),f24(a12,a3,f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[854,987,989,983,939,1013,1002,596,904,549,382,218,272,194,148,63,101,92,156,99,53,133,61])).
% 18.63/18.78 cnf(1046,plain,
% 18.63/18.78 (~P17(f11(a3),f24(a12,a3,f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[854,987,989,983,939,1013,1002,596,791,756,864,904,549,382,301,218,272,194,243,148,63,101,92,156,99,53,133,61,155,94,104,142])).
% 18.63/18.78 cnf(1048,plain,
% 18.63/18.78 (~P5(f9(f10(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[854,987,989,983,939,1013,1002,596,791,756,415,864,904,549,382,301,218,272,194,243,148,63,101,92,156,99,53,133,61,155,94,104,142,105])).
% 18.63/18.78 cnf(1064,plain,
% 18.63/18.78 (~P11(f24(a12,a3,f9(a3)),x10641,x10642)),
% 18.63/18.78 inference(scs_inference,[],[631,132])).
% 18.63/18.78 cnf(1072,plain,
% 18.63/18.78 (P15(a3,f21(f10(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[173,87,884,1002,803,864,631,132,107,101,99,133])).
% 18.63/18.78 cnf(1074,plain,
% 18.63/18.78 (P5(f9(a3),f6(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[173,87,884,1002,803,864,631,272,132,107,101,99,133,150])).
% 18.63/18.78 cnf(1077,plain,
% 18.63/18.78 (~P7(a3,f24(a12,a3,f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[173,87,1024,884,1002,803,864,631,904,272,132,107,101,99,133,150,55,143])).
% 18.63/18.78 cnf(1079,plain,
% 18.63/18.78 (~P8(f9(f10(a3)),a3)),
% 18.63/18.78 inference(scs_inference,[],[173,87,1024,884,1002,803,864,631,904,272,132,107,101,99,133,150,55,143,106])).
% 18.63/18.78 cnf(1087,plain,
% 18.63/18.78 (~P6(f24(a12,a3,f11(a3)),f14(a3))),
% 18.63/18.78 inference(scs_inference,[],[185,904,107])).
% 18.63/18.78 cnf(1089,plain,
% 18.63/18.78 (~P11(x10891,f24(a12,a3,f11(a3)),x10892)),
% 18.63/18.78 inference(scs_inference,[],[185,919,904,107,131])).
% 18.63/18.78 cnf(1091,plain,
% 18.63/18.78 (~P15(f9(f10(a3)),a3)),
% 18.63/18.78 inference(scs_inference,[],[185,1079,919,904,107,131,101])).
% 18.63/18.78 cnf(1093,plain,
% 18.63/18.78 (~P12(f21(f9(a3),a12),a3,x10931)),
% 18.63/18.78 inference(scs_inference,[],[185,1027,1079,919,904,107,131,101,133])).
% 18.63/18.78 cnf(1103,plain,
% 18.63/18.78 (P6(f24(a12,f9(a3),f11(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[81,185,87,1027,1079,1024,919,904,272,107,131,101,133,126,95,154,153,152])).
% 18.63/18.78 cnf(1110,plain,
% 18.63/18.78 (~P11(x11101,f8(a12,a13),f4(f14(a13),f8(a12,a13)))),
% 18.63/18.78 inference(scs_inference,[],[81,185,87,1064,1008,1031,1027,1079,1024,961,919,904,261,272,194,243,107,131,101,133,126,95,154,153,152,143,43,46,144])).
% 18.63/18.78 cnf(1113,plain,
% 18.63/18.78 (P6(f8(a12,a13),f14(f8(a12,a13)))),
% 18.63/18.78 inference(scs_inference,[],[81,185,180,87,938,1064,1008,1031,1027,1079,1024,961,919,904,261,272,194,243,107,131,101,133,126,95,154,153,152,143,43,46,144,53,98])).
% 18.63/18.78 cnf(1137,plain,
% 18.63/18.78 (P13(a3,f24(a12,a3,f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[633,149])).
% 18.63/18.78 cnf(1140,plain,
% 18.63/18.78 (~E(a12,a25)),
% 18.63/18.78 inference(scs_inference,[],[87,950,515,904,633,149,42,54])).
% 18.63/18.78 cnf(1143,plain,
% 18.63/18.78 (~P2(f24(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[87,950,515,1103,1072,904,633,149,42,54,101,99])).
% 18.63/18.78 cnf(1146,plain,
% 18.63/18.78 (P15(a3,f19(a3,f11(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[171,87,950,515,1103,1072,645,904,633,149,42,54,101,99,53,133])).
% 18.63/18.78 cnf(1150,plain,
% 18.63/18.78 (~P8(f21(f10(a3),a12),a3)),
% 18.63/18.78 inference(scs_inference,[],[171,87,950,515,1103,1072,1024,645,382,904,633,149,42,54,101,99,53,133,129,106])).
% 18.63/18.78 cnf(1163,plain,
% 18.63/18.78 (P10(f19(a3,f11(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[1113,1146,97,92])).
% 18.63/18.78 cnf(1166,plain,
% 18.63/18.78 (~P15(f21(f10(a3),a12),a3)),
% 18.63/18.78 inference(scs_inference,[],[87,1113,1033,1146,1150,97,92,42,101])).
% 18.63/18.78 cnf(1170,plain,
% 18.63/18.78 (P2(f19(a3,f11(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[87,1113,1033,1146,1150,328,97,92,42,101,100,89])).
% 18.63/18.78 cnf(1172,plain,
% 18.63/18.78 (P1(f14(f8(a12,a13)))),
% 18.63/18.78 inference(scs_inference,[],[87,1113,1033,1146,1150,328,247,97,92,42,101,100,89,99])).
% 18.63/18.78 cnf(1182,plain,
% 18.63/18.78 (~E(f8(a12,a13),f9(a3))),
% 18.63/18.78 inference(scs_inference,[],[82,180,87,1113,1089,964,1033,1146,1150,1091,454,328,247,190,194,97,92,42,101,100,89,99,44,133,125,72,61])).
% 18.63/18.78 cnf(1185,plain,
% 18.63/18.78 (P6(f9(f9(a3)),a1)),
% 18.63/18.78 inference(scs_inference,[],[82,180,87,1113,1089,964,1033,1146,1150,1091,811,501,1103,454,328,247,210,668,190,194,97,92,42,101,100,89,99,44,133,125,72,61,126,129])).
% 18.63/18.78 cnf(1205,plain,
% 18.63/18.78 (P13(f9(a3),f24(a12,a3,f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[243,148])).
% 18.63/18.78 cnf(1210,plain,
% 18.63/18.78 (P8(f19(a3,f11(a3),a12),f11(a3))),
% 18.63/18.78 inference(scs_inference,[],[1163,758,387,691,1113,243,148,105,54,101])).
% 18.63/18.78 cnf(1215,plain,
% 18.63/18.78 (~P10(f24(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[187,1163,1143,1185,758,387,691,1113,73,243,148,105,54,101,100,2,89])).
% 18.63/18.78 cnf(1219,plain,
% 18.63/18.78 (P15(a3,f19(f9(a3),f11(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[187,87,1163,1170,1143,1185,758,387,691,1113,549,73,243,148,105,54,101,100,2,89,99,133])).
% 18.63/18.78 cnf(1221,plain,
% 18.63/18.78 (P11(f9(a3),f9(f9(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[187,87,1163,1170,1143,1185,758,387,691,1113,549,73,243,148,105,54,101,100,2,89,99,133,680])).
% 18.63/18.78 cnf(1224,plain,
% 18.63/18.78 (P5(f11(a3),f7(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[187,87,1163,1170,1143,1185,1137,758,387,691,1077,1113,549,73,528,904,77,272,243,148,105,54,101,100,2,89,99,133,680,145,151])).
% 18.63/18.78 cnf(1270,plain,
% 18.63/18.78 (P16(f11(a3),f7(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1000,1224,1210,1143,274,255,218,192,125,132,70,106,105])).
% 18.63/18.78 cnf(1278,plain,
% 18.63/18.78 (P10(f19(f9(a3),f11(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[1000,1224,1210,1219,440,1143,274,293,255,218,192,202,125,132,70,106,105,101,156,144,92])).
% 18.63/18.78 cnf(1280,plain,
% 18.63/18.78 (~E(f21(f9(a3),a12),a3)),
% 18.63/18.78 inference(scs_inference,[],[1000,1224,1210,1219,440,838,1143,274,293,255,528,218,192,202,125,132,70,106,105,101,156,144,92,47])).
% 18.63/18.78 cnf(1281,plain,
% 18.63/18.78 (P2(f19(f9(a3),f11(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[1000,1224,1210,1219,440,838,1143,274,293,255,528,218,192,202,125,132,70,106,105,101,156,144,92,47,89])).
% 18.63/18.78 cnf(1291,plain,
% 18.63/18.78 (~E(f8(a12,a13),f24(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[83,1000,1221,1224,1210,1219,586,440,1048,1166,838,1143,339,274,196,73,293,255,528,297,218,192,247,202,125,132,70,106,105,101,156,144,92,47,89,44,133,53,3,118,51])).
% 18.63/18.78 cnf(1304,plain,
% 18.63/18.78 (~P8(x13041,f19(f9(a3),f11(a3),a12))+~E(f10(f10(a3)),a26)+~P8(f11(a3),x13041)),
% 18.63/18.78 inference(scs_inference,[],[83,178,1000,1221,1224,1210,1219,586,440,1048,1110,1166,838,808,1143,658,339,274,267,291,281,196,73,293,255,528,301,1103,297,218,192,247,228,261,202,125,132,70,106,105,101,156,144,92,47,89,44,133,53,3,118,51,142,155,1021,98,134,45,67,109])).
% 18.63/18.78 cnf(1311,plain,
% 18.63/18.78 (~P14(a12,f14(f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[939,1033,274,118])).
% 18.63/18.78 cnf(1318,plain,
% 18.63/18.78 (P12(f9(a3),f9(f9(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[1278,547,1221,1219,939,1033,413,274,118,63,105,101,144])).
% 18.63/18.78 cnf(1320,plain,
% 18.63/18.78 (~P15(x13201,f24(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1278,1215,547,1221,1219,939,1033,413,274,118,63,105,101,144,92])).
% 18.63/18.78 cnf(1324,plain,
% 18.63/18.78 (~P12(x13241,f11(a3),f7(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1278,1215,1270,547,1221,1219,939,1033,413,274,272,118,63,105,101,144,92,156,135])).
% 18.63/18.78 cnf(1327,plain,
% 18.63/18.78 (P15(f10(a3),f21(f10(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[1278,1215,1270,547,995,1221,1219,939,1033,413,274,293,380,272,118,63,105,101,144,92,156,135,47,133])).
% 18.63/18.78 cnf(1334,plain,
% 18.63/18.78 (P8(a3,f11(a3))),
% 18.63/18.78 inference(scs_inference,[],[1278,1215,1270,547,995,596,1221,1219,939,785,1033,413,274,293,380,1103,272,243,118,63,105,101,144,92,156,135,47,133,53,1304,149,109])).
% 18.63/18.78 cnf(1338,plain,
% 18.63/18.78 (~P8(f19(f9(a3),f11(a3),a12),a3)),
% 18.63/18.78 inference(scs_inference,[],[1278,1215,1270,547,995,596,1221,1219,939,785,1033,413,858,274,293,380,1103,272,243,118,63,105,101,144,92,156,135,47,133,53,1304,149,109,143,106])).
% 18.63/18.78 cnf(1346,plain,
% 18.63/18.78 (P15(a3,f11(a3))),
% 18.63/18.78 inference(scs_inference,[],[1334,218,104])).
% 18.63/18.78 cnf(1349,plain,
% 18.63/18.78 (~P8(f11(a3),a3)),
% 18.63/18.78 inference(scs_inference,[],[1338,1334,785,218,104,65,109])).
% 18.63/18.78 cnf(1353,plain,
% 18.63/18.78 (~E(a12,f7(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[84,1324,1338,1334,1185,785,674,218,104,65,109,107,48])).
% 18.63/18.78 cnf(1354,plain,
% 18.63/18.78 (~P12(x13541,f11(a3),f7(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(rename_variables,[],[1324])).
% 18.63/18.78 cnf(1359,plain,
% 18.63/18.78 (~P15(f19(f9(a3),f11(a3),a12),a3)),
% 18.63/18.78 inference(scs_inference,[],[84,178,1324,1311,1338,1334,1215,1185,785,1143,674,218,104,65,109,107,48,68,131,63,101])).
% 18.63/18.78 cnf(1363,plain,
% 18.63/18.78 (~P16(f9(f9(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[84,178,1324,1354,1318,1311,1338,1334,1215,1185,785,1143,674,218,104,65,109,107,48,68,131,63,101,144,135])).
% 18.63/18.78 cnf(1365,plain,
% 18.63/18.78 (P12(a3,f9(f9(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[84,178,1324,1354,1318,1311,1338,1334,1215,1185,785,1143,674,218,243,104,65,109,107,48,68,131,63,101,144,135,155])).
% 18.63/18.78 cnf(1383,plain,
% 18.63/18.78 (P8(f10(a3),f21(f10(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[85,1327,864,107,101])).
% 18.63/18.78 cnf(1387,plain,
% 18.63/18.78 (P15(a3,f9(f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[85,190,1365,1327,330,864,955,107,101,61,47,133])).
% 18.63/18.78 cnf(1390,plain,
% 18.63/18.78 (P14(a26,a26)),
% 18.63/18.78 inference(scs_inference,[],[85,190,660,1365,1327,212,330,864,955,107,101,61,47,133,66,91])).
% 18.63/18.78 cnf(1394,plain,
% 18.63/18.78 (~P8(f21(f10(a3),a12),f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[85,190,660,1365,1327,212,330,864,74,955,107,101,61,47,133,66,91,118,106])).
% 18.63/18.78 cnf(1420,plain,
% 18.63/18.78 (P5(f10(a3),a26)),
% 18.63/18.78 inference(scs_inference,[],[1390,818])).
% 18.63/18.78 cnf(1422,plain,
% 18.63/18.78 (P5(f9(a3),f7(a12,a3,f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1390,243,818,151])).
% 18.63/18.78 cnf(1425,plain,
% 18.63/18.78 (~E(a26,a12)),
% 18.63/18.78 inference(scs_inference,[],[87,1087,1390,74,904,243,818,151,54,42])).
% 18.63/18.78 cnf(1428,plain,
% 18.63/18.78 (P12(a3,f10(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[87,1349,1087,1390,74,904,202,243,818,151,54,42,101,155])).
% 18.63/18.78 cnf(1434,plain,
% 18.63/18.78 (P6(f10(a3),f15(f10(a3),a26))),
% 18.63/18.78 inference(scs_inference,[],[87,1349,1087,1390,1359,74,904,202,243,818,151,54,42,101,155,133,116,112])).
% 18.63/18.78 cnf(1446,plain,
% 18.63/18.78 (P13(f10(a3),f24(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[87,1349,1087,1390,1359,332,74,904,202,243,818,151,54,42,101,155,133,116,112,108,150,154,153,159,148])).
% 18.63/18.78 cnf(1449,plain,
% 18.63/18.78 (P10(f9(f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[87,1349,1087,1390,1387,1359,517,332,74,904,202,243,818,151,54,42,101,155,133,116,112,108,150,154,153,159,148,46,92])).
% 18.63/18.78 cnf(1453,plain,
% 18.63/18.78 (P6(f9(a3),f14(f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[87,1349,1087,1390,1387,1359,517,332,658,74,904,633,202,243,818,151,54,42,101,155,133,116,112,108,150,154,153,159,148,46,92,163,98])).
% 18.63/18.78 cnf(1469,plain,
% 18.63/18.78 (P1(f14(f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1172,739,1453,1449,1434,1446,1363,1387,687,210,95,97,105,42,101,2,99])).
% 18.63/18.78 cnf(1471,plain,
% 18.63/18.78 (~E(f8(a12,a13),f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[190,1172,739,1453,1449,1434,1446,856,1363,1387,687,210,95,97,105,42,101,2,99,61])).
% 18.63/18.78 cnf(1472,plain,
% 18.63/18.78 (P15(a3,f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[190,1172,739,1428,1453,1449,1434,1446,856,1363,1387,687,210,95,97,105,42,101,2,99,61,133])).
% 18.63/18.78 cnf(1475,plain,
% 18.63/18.78 (P13(a3,f24(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[190,1172,739,1428,1453,1449,1434,1446,1046,856,1363,1387,687,210,95,97,105,42,101,2,99,61,133,57,149])).
% 18.63/18.78 cnf(1479,plain,
% 18.63/18.78 (~P17(f10(a3),f24(a12,f10(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[190,1172,739,1428,1453,1449,1434,1446,1046,856,1363,1387,687,919,210,261,95,97,105,42,101,2,99,61,133,57,149,132,142])).
% 18.63/18.78 cnf(1483,plain,
% 18.63/18.78 (~P8(f9(f9(a3)),a3)),
% 18.63/18.78 inference(scs_inference,[],[190,1172,739,1428,1453,1449,1434,1446,1046,856,1363,1387,1215,687,919,210,261,95,97,105,42,101,2,99,61,133,57,149,132,142,93,106])).
% 18.63/18.78 cnf(1514,plain,
% 18.63/18.78 (~P15(f21(f10(a3),a12),f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[1394,1472,1434,1320,226,72,54,101])).
% 18.63/18.78 cnf(1535,plain,
% 18.63/18.78 (~P11(a3,f9(f9(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[1472,1390,989,295,1318,74,243,118,72,156])).
% 18.63/18.78 cnf(1537,plain,
% 18.63/18.78 (P8(a3,f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[1472,1390,989,295,1318,74,243,118,72,156,101])).
% 18.63/18.78 cnf(1543,plain,
% 18.63/18.78 (P15(f9(a3),f9(f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[87,194,1281,1472,1390,989,339,295,1318,74,243,118,72,156,101,99,44,133])).
% 18.63/18.78 cnf(1575,plain,
% 18.63/18.78 (~P12(f9(f9(a3)),f9(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[194,1182,1537,1365,955,3,106,156])).
% 18.63/18.78 cnf(1579,plain,
% 18.63/18.78 (~P15(f9(f9(a3)),a3)),
% 18.63/18.78 inference(scs_inference,[],[194,1483,1182,1537,1365,417,76,955,3,106,156,100,101])).
% 18.63/18.78 cnf(1584,plain,
% 18.63/18.78 (~P12(f21(f10(a3),a12),f10(a3),x15841)),
% 18.63/18.78 inference(scs_inference,[],[194,374,1483,1182,1537,1514,602,1365,417,76,293,955,3,106,156,100,101,2,155,133])).
% 18.63/18.78 cnf(1592,plain,
% 18.63/18.78 (~P6(f10(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[87,194,374,1483,1182,1537,1514,1205,602,1365,505,417,76,1428,293,955,228,668,472,210,3,106,156,100,101,2,155,133,134,142,143,99])).
% 18.63/18.78 cnf(1599,plain,
% 18.63/18.78 (P5(f10(a3),f7(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[87,185,194,374,1483,1535,1182,1537,1514,1205,602,1365,406,505,417,76,1428,255,293,955,228,668,472,210,198,272,3,106,156,100,101,2,155,133,134,142,143,99,44,166,126,151])).
% 18.63/18.78 cnf(1601,plain,
% 18.63/18.78 (P6(f24(a12,a3,f10(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[87,185,194,374,1483,1535,1182,1537,1514,1205,602,1365,406,505,417,76,1428,255,293,955,228,668,472,210,198,272,3,106,156,100,101,2,155,133,134,142,143,99,44,166,126,151,152])).
% 18.63/18.78 cnf(1603,plain,
% 18.63/18.78 (P11(a3,f10(a3),a12)+P12(f19(a3,f10(a3),a12),f10(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[87,185,194,374,1483,1535,1182,1537,1514,1205,602,1365,406,505,417,76,1428,255,293,955,228,668,472,210,198,272,3,106,156,100,101,2,155,133,134,142,143,99,44,166,126,151,152,160])).
% 18.63/18.78 cnf(1613,plain,
% 18.63/18.78 (~P6(f9(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[187,198,107])).
% 18.63/18.78 cnf(1617,plain,
% 18.63/18.78 (~P2(f24(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[187,1601,1543,198,87,107,101,99])).
% 18.63/18.78 cnf(1619,plain,
% 18.63/18.78 (P15(f9(a3),f9(f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[187,1601,1543,409,198,87,107,101,99,133])).
% 18.63/18.78 cnf(1623,plain,
% 18.63/18.78 (~P8(f9(f9(a3)),f9(a3))),
% 18.63/18.78 inference(scs_inference,[],[187,1601,1543,1475,1143,409,198,77,87,107,101,99,133,55,51,106])).
% 18.63/18.78 cnf(1645,plain,
% 18.63/18.78 (P10(f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[187,1617,1601,1472,131,107,92])).
% 18.63/18.78 cnf(1647,plain,
% 18.63/18.78 (~P10(f24(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[187,1617,1601,1472,131,107,92,89])).
% 18.63/18.78 cnf(1653,plain,
% 18.63/18.78 (P11(a3,f10(a3),a12)+P12(a3,f19(a3,f10(a3),a12),a12)),
% 18.63/18.78 inference(scs_inference,[],[187,1617,1623,1579,1601,1472,1428,131,107,92,89,101,133,159])).
% 18.63/18.78 cnf(1655,plain,
% 18.63/18.78 (~P11(f24(a12,a3,f10(a3)),x16551,x16552)),
% 18.63/18.78 inference(scs_inference,[],[187,1617,1623,1579,1601,1472,1428,131,107,92,89,101,133,159,132])).
% 18.63/18.78 cnf(1657,plain,
% 18.63/18.78 (P16(f10(a3),f7(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[187,1617,1599,1623,1579,1601,1472,1428,131,107,92,89,101,133,159,132,105])).
% 18.63/18.78 cnf(1660,plain,
% 18.63/18.78 (P11(a3,f10(a3),a12)+~P16(f19(a3,f10(a3),a12),a12)),
% 18.63/18.78 inference(scs_inference,[],[187,1575,1617,1599,1623,1579,1601,1472,1428,243,131,107,92,89,101,133,159,132,105,46,135])).
% 18.63/18.78 cnf(1669,plain,
% 18.63/18.78 (~P16(f24(a12,a3,f10(a3)),x16691)),
% 18.63/18.78 inference(scs_inference,[],[192,1647,1038,255,125,93])).
% 18.63/18.78 cnf(1672,plain,
% 18.63/18.78 (P16(f10(a3),a26)),
% 18.63/18.78 inference(scs_inference,[],[192,1647,1038,1645,1420,255,125,93,63,105])).
% 18.63/18.78 cnf(1678,plain,
% 18.63/18.78 (~P15(x16781,f24(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[192,1647,1038,1584,1645,1420,745,283,406,255,472,125,93,63,105,42,144,54,92])).
% 18.63/18.78 cnf(1680,plain,
% 18.63/18.78 (~P12(x16801,f10(a3),f7(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[192,1647,1038,1584,1657,1645,1420,745,283,406,255,472,125,93,63,105,42,144,54,92,135])).
% 18.63/18.78 cnf(1684,plain,
% 18.63/18.78 (P15(f9(a3),f19(f9(a3),f11(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[192,1647,1038,1584,1657,1619,1645,1420,745,283,406,255,303,472,125,93,63,105,42,144,54,92,135,101,133])).
% 18.63/18.78 cnf(1690,plain,
% 18.63/18.78 (~P8(f9(f10(a3)),f9(a3))),
% 18.63/18.78 inference(scs_inference,[],[182,192,194,1655,1647,1038,1584,1657,1619,1645,1420,745,856,283,406,255,303,472,125,93,63,105,42,144,54,92,135,101,133,52,62,43,106])).
% 18.63/18.78 cnf(1696,plain,
% 18.63/18.78 (P5(f10(a3),f4(a26,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[182,192,194,1655,1647,1038,1584,1657,1619,1645,1420,745,856,283,406,255,303,472,633,125,93,63,105,42,144,54,92,135,101,133,52,62,43,106,170,117,115])).
% 18.63/18.78 cnf(1702,plain,
% 18.63/18.78 (~P5(f10(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[1680,1645,856,1428,48,105])).
% 18.63/18.78 cnf(1707,plain,
% 18.63/18.78 (~P15(f9(f10(a3)),f9(a3))),
% 18.63/18.78 inference(scs_inference,[],[1680,1469,1690,1672,1645,856,687,1428,48,105,42,135,101])).
% 18.63/18.78 cnf(1709,plain,
% 18.63/18.78 (~E(f8(a12,a13),f24(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[190,1669,1680,1469,1690,1672,1645,856,687,1428,48,105,42,135,101,61])).
% 18.63/18.78 cnf(1720,plain,
% 18.63/18.78 (~E(f24(a12,f9(a3),f11(a3)),f8(a12,a13))),
% 18.63/18.78 inference(scs_inference,[],[190,198,1669,1678,1291,937,1680,1469,1479,762,1696,1690,1672,805,1645,800,856,687,267,699,682,1428,382,48,105,42,135,101,61,53,133,147,70,127,2])).
% 18.63/18.78 cnf(1740,plain,
% 18.63/18.78 (P14(a1,a1)),
% 18.63/18.78 inference(scs_inference,[],[476,91])).
% 18.63/18.78 cnf(1748,plain,
% 18.63/18.78 (P16(f10(a3),f7(a12,f9(a3),f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[192,194,1720,499,1678,822,1346,476,1645,682,91,125,43,72,105])).
% 18.63/18.78 cnf(1754,plain,
% 18.63/18.78 (P15(f10(a3),f9(f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[192,194,1720,1592,1613,1684,499,1678,822,1346,1453,476,1645,1601,380,682,91,125,43,72,105,54,101,53,133])).
% 18.63/18.78 cnf(1759,plain,
% 18.63/18.78 (~P14(a12,f14(f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[192,194,1720,1592,1613,1702,1684,1280,1093,499,515,1678,689,822,1346,1453,476,1645,487,1601,380,682,77,80,91,125,43,72,105,54,101,53,133,147,118])).
% 18.63/18.78 cnf(1765,plain,
% 18.63/18.78 (~P8(f19(f9(a3),f11(a3),a12),f9(a3))),
% 18.63/18.78 inference(scs_inference,[],[200,192,194,1720,1592,1613,1702,1684,1280,1093,499,515,1678,689,822,1346,1453,476,1645,487,1601,380,682,77,80,91,125,43,72,105,54,101,53,133,147,118,142,143,106])).
% 18.63/18.78 cnf(1786,plain,
% 18.63/18.78 (P16(f10(a3),f4(a26,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[178,198,1759,1740,1696,1617,283,1645,73,695,243,68,118,156,100,105])).
% 18.63/18.78 cnf(1790,plain,
% 18.63/18.78 (~P12(f9(f10(a3)),f9(a3),x17901)),
% 18.63/18.78 inference(scs_inference,[],[178,198,1759,1740,1765,1707,1696,1617,283,1645,73,695,243,68,118,156,100,105,101,133])).
% 18.63/18.78 cnf(1792,plain,
% 18.63/18.78 (P1(f15(f9(a3),a1))),
% 18.63/18.78 inference(scs_inference,[],[178,198,1759,1740,1765,1707,1696,1617,283,1645,73,695,243,68,118,156,100,105,101,133,108])).
% 18.63/18.78 cnf(1826,plain,
% 18.63/18.78 (~P12(f10(a3),f9(f9(a3)),a12)),
% 18.63/18.78 inference(scs_inference,[],[196,202,1702,1221,74,118,156])).
% 18.63/18.78 cnf(1830,plain,
% 18.63/18.78 (P8(f10(a3),f9(f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[196,202,1754,1702,888,687,1221,74,118,156,99,101])).
% 18.63/18.78 cnf(1832,plain,
% 18.63/18.78 (P15(f9(a3),f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[196,202,1754,1702,888,687,1221,74,118,156,99,101,133])).
% 18.63/18.78 cnf(1864,plain,
% 18.63/18.78 (~P6(a13,f7(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1353,1748,856,79,62,107])).
% 18.63/18.78 cnf(1866,plain,
% 18.63/18.78 (P5(f9(f9(a3)),a1)),
% 18.63/18.78 inference(scs_inference,[],[1353,1748,1740,856,1185,73,79,62,107,118])).
% 18.63/18.78 cnf(1872,plain,
% 18.63/18.78 (~P12(x18721,f10(a3),f4(a26,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1353,1790,1830,1786,1748,1740,856,1185,73,79,62,107,118,144,106,135])).
% 18.63/18.78 cnf(1903,plain,
% 18.63/18.78 (P15(a3,f9(a3))),
% 18.63/18.78 inference(scs_inference,[],[200,1425,1832,1826,1601,243,107,47,101,133])).
% 18.63/18.78 cnf(1908,plain,
% 18.63/18.78 (~P8(f10(a3),f9(a3))),
% 18.63/18.78 inference(scs_inference,[],[200,202,1425,1872,1832,1826,503,1601,243,107,47,101,133,55,48,106])).
% 18.63/18.78 cnf(1930,plain,
% 18.63/18.78 (P10(f9(a3))),
% 18.63/18.78 inference(scs_inference,[],[1908,1903,1383,265,1702,70,65,92])).
% 18.63/18.78 cnf(1933,plain,
% 18.63/18.78 (~P5(f9(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[1908,1903,1383,265,964,1702,76,406,70,65,92,42,105])).
% 18.63/18.78 cnf(1966,plain,
% 18.63/18.78 (P16(f9(a3),f6(a12,f9(a3),f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[192,1709,639,1792,1864,1930,687,682,125,54,42,105])).
% 18.63/18.78 cnf(1995,plain,
% 18.63/18.78 (~P14(a12,f14(f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1471,1469,1933,1453,955,3,118])).
% 18.63/18.78 cnf(1997,plain,
% 18.63/18.78 (P16(f9(a3),f6(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1074,1471,1469,1933,1930,1453,955,3,118,105])).
% 18.63/18.78 cnf(1999,plain,
% 18.63/18.78 (~P12(x19991,f9(a3),f6(a12,f9(a3),f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[1074,1966,1471,1469,1933,1930,1453,955,3,118,105,135])).
% 18.63/18.78 cnf(2020,plain,
% 18.63/18.78 (~P12(x20201,f9(a3),f6(a12,f9(a3),f11(a3)))),
% 18.63/18.78 inference(scs_inference,[],[202,1999,1997,243,48,156,135])).
% 18.63/18.78 cnf(2024,plain,
% 18.63/18.78 (~P16(f19(a3,f10(a3),a12),a12)),
% 18.63/18.78 inference(scs_inference,[],[202,1999,1997,594,243,48,156,135,101,1660])).
% 18.63/18.78 cnf(2025,plain,
% 18.63/18.78 (P12(a3,f19(a3,f10(a3),a12),a12)),
% 18.63/18.78 inference(scs_inference,[],[202,1999,1997,594,243,48,156,135,101,1660,1653])).
% 18.63/18.78 cnf(2026,plain,
% 18.63/18.78 (P12(f19(a3,f10(a3),a12),f10(a3),a12)),
% 18.63/18.78 inference(scs_inference,[],[202,1999,1997,594,243,48,156,135,101,1660,1653,1603])).
% 18.63/18.78 cnf(2036,plain,
% 18.63/18.78 (P15(a3,f19(a3,f10(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[202,1422,1999,1997,1995,1930,594,775,178,668,904,243,48,156,135,101,1660,1653,1603,128,68,142,106,105,133])).
% 18.63/18.78 cnf(2056,plain,
% 18.63/18.78 (~P12(f19(a3,f10(a3),a12),a3,a12)),
% 18.63/18.78 inference(scs_inference,[],[194,2025,330,156,155])).
% 18.63/18.78 cnf(2077,plain,
% 18.63/18.78 (P8(a3,f19(a3,f10(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[196,190,542,2024,2036,107,61,101])).
% 18.63/18.78 cnf(2079,plain,
% 18.63/18.78 (P15(f19(a3,f10(a3),a12),f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[196,190,542,2024,2036,2026,107,61,101,133])).
% 18.63/18.78 cnf(2112,plain,
% 18.63/18.78 (P10(f19(a3,f10(a3),a12))),
% 18.63/18.78 inference(scs_inference,[],[1140,2020,2036,2026,1601,243,136,48,107,92])).
% 18.63/18.78 cnf(2122,plain,
% 18.63/18.78 (~E(f9(f9(a3)),f11(a3))),
% 18.63/18.78 inference(scs_inference,[],[1140,2056,2020,2077,466,2024,2036,2026,220,1221,328,1601,243,136,48,107,92,144,100,106,105,44])).
% 18.63/18.78 cnf(2153,plain,
% 18.63/18.78 (P8(f19(a3,f10(a3),a12),f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[200,2079,2026,1617,75,406,73,42,100,155,101])).
% 18.63/18.78 cnf(2160,plain,
% 18.63/18.78 (~P7(a3,f24(a12,a3,f10(a3)))),
% 18.63/18.78 inference(scs_inference,[],[200,2079,2025,2026,1205,1617,75,406,73,1601,42,100,155,101,133,308,55,143])).
% 18.63/18.78 cnf(2176,plain,
% 18.63/18.78 (E(f9(f9(a3)),f10(a3))),
% 18.63/18.78 inference(scs_inference,[],[2160,2122,1475,1318,1601,77,145])).
% 18.63/18.78 cnf(2184,plain,
% 18.63/18.78 (E(f10(a3),f9(f9(a3)))),
% 18.63/18.78 inference(scs_inference,[],[2112,2160,2153,1866,2122,322,285,413,1475,1318,1221,1601,77,145,63,69,64,65,72,44,2])).
% 18.63/18.78 cnf(2251,plain,
% 18.63/18.78 ($false),
% 18.63/18.78 inference(scs_inference,[],[204,647,2176,2184,752,226,1185,76,303,243,3,59,156,100,53]),
% 18.63/18.78 ['proof']).
% 18.63/18.78 % SZS output end Proof
% 18.63/18.78 % Total time :18.000000s
%------------------------------------------------------------------------------