TSTP Solution File: PRO012+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PRO012+3 : 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 : n007.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 13:05:50 EDT 2023
% Result : Theorem 19.50s 19.64s
% Output : CNFRefutation 19.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PRO012+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:05:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 19.50/19.62 %-------------------------------------------
% 19.50/19.62 % File :CSE---1.6
% 19.50/19.62 % Problem :theBenchmark
% 19.50/19.62 % Transform :cnf
% 19.50/19.62 % Format :tptp:raw
% 19.50/19.62 % Command :java -jar mcs_scs.jar %d %s
% 19.50/19.62
% 19.50/19.62 % Result :Theorem 18.920000s
% 19.50/19.62 % Output :CNFRefutation 18.920000s
% 19.50/19.62 %-------------------------------------------
% 19.50/19.62 %------------------------------------------------------------------------------
% 19.50/19.62 % File : PRO012+3 : TPTP v8.1.2. Released v4.0.0.
% 19.50/19.62 % Domain : Processes
% 19.50/19.62 % Problem : PSL cliff problem coe-7.1.4-no-leaf
% 19.50/19.62 % Version : Especial : Augmented > Especial.
% 19.50/19.62 % English :
% 19.50/19.62 % Refs : [Hal09] Halcomb (2009), Email to G. Sutcliffe
% 19.50/19.62 % Source : [Hal09]
% 19.50/19.62 % Names : psl-1016-subset-618-lemmas__coe-7.1.4-no-leaf-pd [Hal09]
% 19.50/19.62
% 19.50/19.62 % Status : Theorem
% 19.50/19.62 % Rating : 0.39 v8.1.0, 0.36 v7.5.0, 0.38 v7.4.0, 0.33 v7.3.0, 0.34 v7.2.0, 0.31 v7.1.0, 0.30 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.42 v6.2.0, 0.48 v6.1.0, 0.50 v6.0.0, 0.57 v5.5.0, 0.59 v5.4.0, 0.57 v5.3.0, 0.59 v5.2.0, 0.50 v5.1.0, 0.48 v5.0.0, 0.42 v4.1.0, 0.43 v4.0.1, 0.48 v4.0.0
% 19.50/19.62 % Syntax : Number of formulae : 63 ( 12 unt; 0 def)
% 19.50/19.62 % Number of atoms : 216 ( 20 equ)
% 19.50/19.62 % Maximal formula atoms : 11 ( 3 avg)
% 19.50/19.62 % Number of connectives : 179 ( 26 ~; 8 |; 92 &)
% 19.50/19.62 % ( 7 <=>; 46 =>; 0 <=; 0 <~>)
% 19.50/19.62 % Maximal formula depth : 15 ( 6 avg)
% 19.50/19.62 % Maximal term depth : 1 ( 1 avg)
% 19.50/19.62 % Number of predicates : 18 ( 17 usr; 0 prp; 1-3 aty)
% 19.50/19.62 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 19.50/19.62 % Number of variables : 169 ( 146 !; 23 ?)
% 19.50/19.62 % SPC : FOF_THM_RFO_SEQ
% 19.50/19.62
% 19.50/19.62 % Comments :
% 19.50/19.62 %------------------------------------------------------------------------------
% 19.50/19.62 fof(sos,axiom,
% 19.50/19.62 ! [X0,X1] :
% 19.50/19.62 ( occurrence_of(X1,X0)
% 19.50/19.62 => ( activity(X0)
% 19.50/19.63 & activity_occurrence(X1) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_01,axiom,
% 19.50/19.63 ! [X2] :
% 19.50/19.63 ( activity_occurrence(X2)
% 19.50/19.63 => ? [X3] :
% 19.50/19.63 ( activity(X3)
% 19.50/19.63 & occurrence_of(X2,X3) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_02,axiom,
% 19.50/19.63 ! [X4,X5,X6] :
% 19.50/19.63 ( ( occurrence_of(X4,X5)
% 19.50/19.63 & occurrence_of(X4,X6) )
% 19.50/19.63 => X5 = X6 ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_03,axiom,
% 19.50/19.63 ! [X7] :
% 19.50/19.63 ( activity(X7)
% 19.50/19.63 => subactivity(X7,X7) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_04,axiom,
% 19.50/19.63 ! [X8,X9] :
% 19.50/19.63 ( earlier(X8,X9)
% 19.50/19.63 => ~ earlier(X9,X8) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_05,axiom,
% 19.50/19.63 ! [X10,X11,X12] :
% 19.50/19.63 ( ( earlier(X10,X11)
% 19.50/19.63 & earlier(X11,X12) )
% 19.50/19.63 => earlier(X10,X12) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_06,axiom,
% 19.50/19.63 ! [X13,X14,X15] :
% 19.50/19.63 ( ( earlier(X13,X14)
% 19.50/19.63 & earlier(X15,X14) )
% 19.50/19.63 => ( earlier(X15,X13)
% 19.50/19.63 | earlier(X13,X15)
% 19.50/19.63 | X13 = X15 ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_07,axiom,
% 19.50/19.63 ! [X16,X17] :
% 19.50/19.63 ( occurrence_of(X16,X17)
% 19.50/19.63 => ( arboreal(X16)
% 19.50/19.63 <=> atomic(X17) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_08,axiom,
% 19.50/19.63 ! [X18] :
% 19.50/19.63 ( legal(X18)
% 19.50/19.63 => arboreal(X18) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_09,axiom,
% 19.50/19.63 ! [X19,X20] :
% 19.50/19.63 ( ( legal(X19)
% 19.50/19.63 & earlier(X20,X19) )
% 19.50/19.63 => legal(X20) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_10,axiom,
% 19.50/19.63 ! [X21,X22] :
% 19.50/19.63 ( precedes(X21,X22)
% 19.50/19.63 <=> ( earlier(X21,X22)
% 19.50/19.63 & legal(X22) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_11,axiom,
% 19.50/19.63 ! [X23,X24,X25] :
% 19.50/19.63 ( min_precedes(X24,X25,X23)
% 19.50/19.63 => ? [X26,X27] :
% 19.50/19.63 ( subactivity(X26,X23)
% 19.50/19.63 & subactivity(X27,X23)
% 19.50/19.63 & atocc(X24,X26)
% 19.50/19.63 & atocc(X25,X27) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_12,axiom,
% 19.50/19.63 ! [X28,X29] :
% 19.50/19.63 ( root(X29,X28)
% 19.50/19.63 => ? [X30] :
% 19.50/19.63 ( subactivity(X30,X28)
% 19.50/19.63 & atocc(X29,X30) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_13,axiom,
% 19.50/19.63 ! [X31,X32,X33] :
% 19.50/19.63 ( min_precedes(X31,X32,X33)
% 19.50/19.63 => ? [X34] :
% 19.50/19.63 ( root(X34,X33)
% 19.50/19.63 & min_precedes(X34,X32,X33) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_14,axiom,
% 19.50/19.63 ! [X35,X36,X37] :
% 19.50/19.63 ( min_precedes(X35,X36,X37)
% 19.50/19.63 => ~ root(X36,X37) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_15,axiom,
% 19.50/19.63 ! [X38,X39,X40] :
% 19.50/19.63 ( min_precedes(X38,X39,X40)
% 19.50/19.63 => precedes(X38,X39) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_16,axiom,
% 19.50/19.63 ! [X41,X42] :
% 19.50/19.63 ( root(X41,X42)
% 19.50/19.63 => legal(X41) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_17,axiom,
% 19.50/19.63 ! [X43,X44] :
% 19.50/19.63 ( ( atocc(X43,X44)
% 19.50/19.63 & legal(X43) )
% 19.50/19.63 => root(X43,X44) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_18,axiom,
% 19.50/19.63 ! [X45,X46,X47,X48] :
% 19.50/19.63 ( ( min_precedes(X45,X46,X48)
% 19.50/19.63 & min_precedes(X45,X47,X48)
% 19.50/19.63 & precedes(X46,X47) )
% 19.50/19.63 => min_precedes(X46,X47,X48) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_19,axiom,
% 19.50/19.63 ! [X49,X50,X51] :
% 19.50/19.63 ( min_precedes(X49,X50,X51)
% 19.50/19.63 => ~ atomic(X51) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_20,axiom,
% 19.50/19.63 ! [X52,X53,X54,X55] :
% 19.50/19.63 ( ( min_precedes(X53,X52,X55)
% 19.50/19.63 & min_precedes(X54,X52,X55)
% 19.50/19.63 & precedes(X53,X54) )
% 19.50/19.63 => min_precedes(X53,X54,X55) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_21,axiom,
% 19.50/19.63 ! [X56,X57] :
% 19.50/19.63 ( leaf(X56,X57)
% 19.50/19.63 <=> ( ( root(X56,X57)
% 19.50/19.63 | ? [X58] : min_precedes(X58,X56,X57) )
% 19.50/19.63 & ~ ? [X59] : min_precedes(X56,X59,X57) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_22,axiom,
% 19.50/19.63 ! [X60,X61,X62] :
% 19.50/19.63 ( next_subocc(X60,X61,X62)
% 19.50/19.63 <=> ( min_precedes(X60,X61,X62)
% 19.50/19.63 & ~ ? [X63] :
% 19.50/19.63 ( min_precedes(X60,X63,X62)
% 19.50/19.63 & min_precedes(X63,X61,X62) ) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_23,axiom,
% 19.50/19.63 ! [X64,X65] :
% 19.50/19.63 ( atocc(X64,X65)
% 19.50/19.63 <=> ? [X66] :
% 19.50/19.63 ( subactivity(X65,X66)
% 19.50/19.63 & atomic(X66)
% 19.50/19.63 & occurrence_of(X64,X66) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_24,axiom,
% 19.50/19.63 ! [X67,X68] :
% 19.50/19.63 ( subactivity_occurrence(X67,X68)
% 19.50/19.63 => ( activity_occurrence(X67)
% 19.50/19.63 & activity_occurrence(X68) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_25,axiom,
% 19.50/19.63 ! [X69,X70,X71] :
% 19.50/19.63 ( min_precedes(X70,X71,X69)
% 19.50/19.63 => ? [X72] :
% 19.50/19.63 ( occurrence_of(X72,X69)
% 19.50/19.63 & subactivity_occurrence(X70,X72)
% 19.50/19.63 & subactivity_occurrence(X71,X72) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_26,axiom,
% 19.50/19.63 ! [X73,X74] :
% 19.50/19.63 ( ( root(X74,X73)
% 19.50/19.63 & ~ atomic(X73) )
% 19.50/19.63 => ? [X75] :
% 19.50/19.63 ( occurrence_of(X75,X73)
% 19.50/19.63 & subactivity_occurrence(X74,X75) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_27,axiom,
% 19.50/19.63 ! [X76,X77] :
% 19.50/19.63 ( ( occurrence_of(X77,X76)
% 19.50/19.63 & ~ atomic(X76) )
% 19.50/19.63 => ? [X78] :
% 19.50/19.63 ( root(X78,X76)
% 19.50/19.63 & subactivity_occurrence(X78,X77) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_28,axiom,
% 19.50/19.63 ! [X79,X80,X81,X82] :
% 19.50/19.63 ( ( occurrence_of(X80,X79)
% 19.50/19.63 & arboreal(X81)
% 19.50/19.63 & arboreal(X82)
% 19.50/19.63 & subactivity_occurrence(X81,X80)
% 19.50/19.63 & subactivity_occurrence(X82,X80) )
% 19.50/19.63 => ( min_precedes(X81,X82,X79)
% 19.50/19.63 | min_precedes(X82,X81,X79)
% 19.50/19.63 | X81 = X82 ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_29,axiom,
% 19.50/19.63 ! [X83,X84,X85,X86] :
% 19.50/19.63 ( ( min_precedes(X83,X84,X85)
% 19.50/19.63 & occurrence_of(X86,X85)
% 19.50/19.63 & subactivity_occurrence(X84,X86) )
% 19.50/19.63 => subactivity_occurrence(X83,X86) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_30,axiom,
% 19.50/19.63 ! [X87,X88,X89,X90] :
% 19.50/19.63 ( ( occurrence_of(X89,X87)
% 19.50/19.63 & occurrence_of(X90,X88)
% 19.50/19.63 & ~ atomic(X87)
% 19.50/19.63 & subactivity_occurrence(X89,X90) )
% 19.50/19.63 => subactivity(X87,X88) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_31,axiom,
% 19.50/19.63 ! [X91,X92,X93] :
% 19.50/19.63 ( ( subactivity_occurrence(X91,X92)
% 19.50/19.63 & subactivity_occurrence(X92,X93) )
% 19.50/19.63 => subactivity_occurrence(X91,X93) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_32,axiom,
% 19.50/19.63 ! [X94,X95,X96,X97] :
% 19.50/19.63 ( ( occurrence_of(X96,X94)
% 19.50/19.63 & occurrence_of(X97,X95)
% 19.50/19.63 & subactivity(X94,X95)
% 19.50/19.63 & ~ subactivity_occurrence(X96,X97) )
% 19.50/19.63 => ? [X98] :
% 19.50/19.63 ( subactivity_occurrence(X98,X97)
% 19.50/19.63 & ~ subactivity_occurrence(X98,X96) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_33,axiom,
% 19.50/19.63 ! [X99,X100] :
% 19.50/19.63 ( root_occ(X99,X100)
% 19.50/19.63 <=> ? [X101] :
% 19.50/19.63 ( occurrence_of(X100,X101)
% 19.50/19.63 & subactivity_occurrence(X99,X100)
% 19.50/19.63 & root(X99,X101) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_34,axiom,
% 19.50/19.63 ! [X102,X103] :
% 19.50/19.63 ( leaf_occ(X102,X103)
% 19.50/19.63 <=> ? [X104] :
% 19.50/19.63 ( occurrence_of(X103,X104)
% 19.50/19.63 & subactivity_occurrence(X102,X103)
% 19.50/19.63 & leaf(X102,X104) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_35,axiom,
% 19.50/19.63 ! [X105,X106,X107,X108] :
% 19.50/19.63 ( ( occurrence_of(X107,X108)
% 19.50/19.63 & root_occ(X105,X107)
% 19.50/19.63 & root_occ(X106,X107) )
% 19.50/19.63 => X105 = X106 ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_36,axiom,
% 19.50/19.63 ! [X109,X110,X111,X112] :
% 19.50/19.63 ( ( occurrence_of(X111,X112)
% 19.50/19.63 & ~ atomic(X112)
% 19.50/19.63 & leaf_occ(X109,X111)
% 19.50/19.63 & leaf_occ(X110,X111) )
% 19.50/19.63 => X109 = X110 ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_37,axiom,
% 19.50/19.63 ! [X113,X114,X115] :
% 19.50/19.63 ( ( occurrence_of(X113,X115)
% 19.50/19.63 & leaf_occ(X114,X113) )
% 19.50/19.63 => ~ ? [X116] : min_precedes(X114,X116,X115) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_38,axiom,
% 19.50/19.63 ! [X117,X118,X119] :
% 19.50/19.63 ( ( occurrence_of(X117,X119)
% 19.50/19.63 & root_occ(X118,X117) )
% 19.50/19.63 => ~ ? [X120] : min_precedes(X120,X118,X119) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_39,axiom,
% 19.50/19.63 ! [X121,X122,X123,X124,X125] :
% 19.50/19.63 ( ( next_subocc(X121,X122,X124)
% 19.50/19.63 & next_subocc(X121,X123,X124)
% 19.50/19.63 & occurrence_of(X125,X124)
% 19.50/19.63 & subactivity_occurrence(X123,X125)
% 19.50/19.63 & subactivity_occurrence(X122,X125) )
% 19.50/19.63 => X122 = X123 ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_40,axiom,
% 19.50/19.63 ! [X126,X127,X128,X129] :
% 19.50/19.63 ( ( next_subocc(X127,X126,X129)
% 19.50/19.63 & next_subocc(X128,X126,X129) )
% 19.50/19.63 => X127 = X128 ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_41,axiom,
% 19.50/19.63 ! [X130,X131,X132,X133] :
% 19.50/19.63 ( ( occurrence_of(X130,X133)
% 19.50/19.63 & leaf_occ(X131,X130)
% 19.50/19.63 & root_occ(X132,X130)
% 19.50/19.63 & X131 != X132 )
% 19.50/19.63 => min_precedes(X132,X131,X133) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_42,axiom,
% 19.50/19.63 ! [X134,X135,X136,X137] :
% 19.50/19.63 ( ( occurrence_of(X135,X134)
% 19.50/19.63 & subactivity_occurrence(X136,X135)
% 19.50/19.63 & root_occ(X137,X135)
% 19.50/19.63 & arboreal(X136)
% 19.50/19.63 & ~ min_precedes(X137,X136,X134) )
% 19.50/19.63 => X137 = X136 ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_43,axiom,
% 19.50/19.63 ! [X138,X139,X140,X141] :
% 19.50/19.63 ( ( occurrence_of(X139,X138)
% 19.50/19.63 & subactivity_occurrence(X140,X139)
% 19.50/19.63 & leaf_occ(X141,X139)
% 19.50/19.63 & arboreal(X140)
% 19.50/19.63 & ~ min_precedes(X140,X141,X138) )
% 19.50/19.63 => X141 = X140 ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_44,axiom,
% 19.50/19.63 ! [X142,X143,X144] :
% 19.50/19.63 ( next_subocc(X142,X143,X144)
% 19.50/19.63 => ( arboreal(X142)
% 19.50/19.63 & arboreal(X143) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_45,axiom,
% 19.50/19.63 ! [X145,X146] :
% 19.50/19.63 ( ( leaf(X145,X146)
% 19.50/19.63 & ~ atomic(X146) )
% 19.50/19.63 => ? [X147] :
% 19.50/19.63 ( occurrence_of(X147,X146)
% 19.50/19.63 & leaf_occ(X145,X147) ) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_46,axiom,
% 19.50/19.63 ! [X148,X149,X150] :
% 19.50/19.63 ( min_precedes(X148,X149,X150)
% 19.50/19.63 => arboreal(X148) ) ).
% 19.50/19.63
% 19.50/19.63 fof(sos_47,axiom,
% 19.50/19.63 ! [X151,X152,X153,X154,X155] :
% 19.50/19.63 ( ( occurrence_of(X152,X151)
% 19.50/19.63 & root_occ(X154,X152)
% 19.50/19.64 & leaf_occ(X155,X152)
% 19.50/19.64 & subactivity_occurrence(X153,X152)
% 19.50/19.64 & min_precedes(X153,X155,X151)
% 19.50/19.64 & X153 != X154 )
% 19.50/19.64 => min_precedes(X154,X153,X151) ) ).
% 19.50/19.64
% 19.50/19.64 fof(sos_48,axiom,
% 19.50/19.64 ! [X156,X157,X158,X159,X160] :
% 19.50/19.64 ( ( occurrence_of(X157,X156)
% 19.50/19.64 & root_occ(X159,X157)
% 19.50/19.64 & leaf_occ(X160,X157)
% 19.50/19.64 & subactivity_occurrence(X158,X157)
% 19.50/19.64 & min_precedes(X159,X158,X156)
% 19.50/19.64 & X158 != X160 )
% 19.50/19.64 => min_precedes(X158,X160,X156) ) ).
% 19.50/19.64
% 19.50/19.64 fof(sos_49,axiom,
% 19.50/19.64 ! [X161] :
% 19.50/19.64 ( occurrence_of(X161,tptp0)
% 19.50/19.64 => ? [X162,X163,X164] :
% 19.50/19.64 ( occurrence_of(X162,tptp3)
% 19.50/19.64 & root_occ(X162,X161)
% 19.50/19.64 & occurrence_of(X163,tptp4)
% 19.50/19.64 & min_precedes(X162,X163,tptp0)
% 19.50/19.64 & ( occurrence_of(X164,tptp2)
% 19.50/19.64 | occurrence_of(X164,tptp1) )
% 19.50/19.64 & min_precedes(X163,X164,tptp0)
% 19.50/19.64 & ! [X165] :
% 19.50/19.64 ( min_precedes(X162,X165,tptp0)
% 19.50/19.64 => ( X165 = X163
% 19.50/19.64 | X165 = X164 ) ) ) ) ).
% 19.50/19.64
% 19.50/19.64 fof(sos_50,axiom,
% 19.50/19.64 activity(tptp0) ).
% 19.50/19.64
% 19.50/19.64 fof(sos_51,axiom,
% 19.50/19.64 ~ atomic(tptp0) ).
% 19.50/19.64
% 19.50/19.64 fof(sos_52,axiom,
% 19.50/19.64 atomic(tptp4) ).
% 19.50/19.64
% 19.50/19.64 fof(sos_53,axiom,
% 19.50/19.64 atomic(tptp2) ).
% 19.50/19.64
% 19.50/19.64 fof(sos_54,axiom,
% 19.50/19.64 atomic(tptp1) ).
% 19.50/19.64
% 19.50/19.64 fof(sos_55,axiom,
% 19.50/19.64 atomic(tptp3) ).
% 19.50/19.64
% 19.50/19.64 fof(sos_56,axiom,
% 19.50/19.64 tptp4 != tptp3 ).
% 19.50/19.64
% 19.50/19.64 fof(sos_57,axiom,
% 19.50/19.64 tptp4 != tptp2 ).
% 19.50/19.64
% 19.50/19.64 fof(sos_58,axiom,
% 19.50/19.64 tptp4 != tptp1 ).
% 19.50/19.64
% 19.50/19.64 fof(sos_59,axiom,
% 19.50/19.64 tptp3 != tptp2 ).
% 19.50/19.64
% 19.50/19.64 fof(sos_60,axiom,
% 19.50/19.64 tptp3 != tptp1 ).
% 19.50/19.64
% 19.50/19.64 fof(sos_61,axiom,
% 19.50/19.64 tptp2 != tptp1 ).
% 19.50/19.64
% 19.50/19.64 fof(goals,conjecture,
% 19.50/19.64 ! [X166] :
% 19.50/19.64 ( occurrence_of(X166,tptp0)
% 19.50/19.64 => ? [X167,X168] :
% 19.50/19.64 ( occurrence_of(X167,tptp3)
% 19.50/19.64 & root_occ(X167,X166)
% 19.50/19.64 & ( occurrence_of(X168,tptp2)
% 19.50/19.64 | occurrence_of(X168,tptp1) )
% 19.50/19.64 & min_precedes(X167,X168,tptp0) ) ) ).
% 19.50/19.64
% 19.50/19.64 %------------------------------------------------------------------------------
% 19.50/19.64 %-------------------------------------------
% 19.50/19.64 % Proof found
% 19.50/19.64 % SZS status Theorem for theBenchmark
% 19.50/19.64 % SZS output start Proof
% 19.50/19.64 %ClaNum:179(EqnAxiom:75)
% 19.50/19.64 %VarNum:589(SingletonVarNum:240)
% 19.50/19.64 %MaxLitNum:8
% 19.50/19.64 %MaxfuncDepth:1
% 19.50/19.64 %SharedTerms:19
% 19.50/19.64 %goalClause: 81 155 156
% 19.50/19.64 %singleGoalClaCount:1
% 19.50/19.64 [76]P1(a1)
% 19.50/19.64 [77]P2(a22)
% 19.50/19.64 [78]P2(a25)
% 19.50/19.64 [79]P2(a23)
% 19.50/19.64 [80]P2(a24)
% 19.50/19.64 [81]P6(a2,a1)
% 19.50/19.64 [82]~E(a25,a22)
% 19.50/19.64 [83]~E(a23,a22)
% 19.50/19.64 [84]~E(a23,a25)
% 19.50/19.64 [85]~E(a24,a22)
% 19.50/19.64 [86]~E(a24,a25)
% 19.50/19.64 [87]~E(a24,a23)
% 19.50/19.64 [88]~P2(a1)
% 19.50/19.64 [89]~P7(x891)+P3(x891)
% 19.50/19.64 [91]~P1(x911)+P13(x911,x911)
% 19.50/19.64 [90]~P4(x901)+P1(f3(x901))
% 19.50/19.64 [98]~P4(x981)+P6(x981,f3(x981))
% 19.50/19.64 [105]~P6(x1051,a1)+P6(f4(x1051),a22)
% 19.50/19.64 [106]~P6(x1061,a1)+P6(f12(x1061),a25)
% 19.50/19.64 [107]~P6(x1071,a1)+P16(f4(x1071),x1071)
% 19.50/19.64 [136]~P6(x1361,a1)+P11(f4(x1361),f12(x1361),a1)
% 19.50/19.64 [137]~P6(x1371,a1)+P11(f12(x1371),f13(x1371),a1)
% 19.50/19.64 [92]P1(x921)+~P6(x922,x921)
% 19.50/19.64 [93]P4(x931)+~P6(x931,x932)
% 19.50/19.64 [94]P4(x941)+~P17(x942,x941)
% 19.50/19.64 [95]P4(x951)+~P17(x951,x952)
% 19.50/19.64 [96]P7(x961)+~P14(x962,x961)
% 19.50/19.64 [97]P7(x971)+~P15(x971,x972)
% 19.50/19.64 [102]~P14(x1021,x1022)+P8(x1021,x1022)
% 19.50/19.64 [103]~P16(x1031,x1032)+P17(x1031,x1032)
% 19.50/19.64 [104]~P9(x1041,x1042)+P17(x1041,x1042)
% 19.50/19.64 [110]~P8(x1102,x1101)+~P8(x1101,x1102)
% 19.50/19.64 [112]~P5(x1121,x1122)+P2(f14(x1121,x1122))
% 19.50/19.64 [116]~P5(x1161,x1162)+P6(x1161,f14(x1161,x1162))
% 19.50/19.64 [117]~P16(x1172,x1171)+P6(x1171,f5(x1172,x1171))
% 19.50/19.64 [118]~P9(x1182,x1181)+P6(x1181,f10(x1182,x1181))
% 19.50/19.64 [119]~P5(x1192,x1191)+P13(x1191,f14(x1192,x1191))
% 19.50/19.64 [120]~P15(x1201,x1202)+P5(x1201,f15(x1202,x1201))
% 19.50/19.64 [121]~P16(x1211,x1212)+P15(x1211,f5(x1211,x1212))
% 19.50/19.64 [122]~P9(x1221,x1222)+P10(x1221,f10(x1221,x1222))
% 19.50/19.64 [123]~P15(x1232,x1231)+P13(f15(x1231,x1232),x1231)
% 19.50/19.64 [139]P3(x1391)+~P11(x1391,x1392,x1393)
% 19.50/19.64 [140]P3(x1401)+~P12(x1402,x1401,x1403)
% 19.50/19.64 [141]P3(x1411)+~P12(x1411,x1412,x1413)
% 19.50/19.64 [142]~P2(x1421)+~P11(x1422,x1423,x1421)
% 19.50/19.64 [143]P14(x1431,x1432)+~P11(x1431,x1432,x1433)
% 19.50/19.64 [144]~P15(x1441,x1442)+~P11(x1443,x1441,x1442)
% 19.50/19.64 [145]~P10(x1451,x1452)+~P11(x1451,x1453,x1452)
% 19.50/19.64 [154]~P12(x1541,x1542,x1543)+P11(x1541,x1542,x1543)
% 19.50/19.64 [161]~P11(x1611,x1613,x1612)+P5(x1611,f16(x1612,x1611,x1613))
% 19.50/19.64 [162]~P11(x1623,x1621,x1622)+P5(x1621,f17(x1622,x1623,x1621))
% 19.50/19.64 [163]~P11(x1633,x1631,x1632)+P17(x1631,f7(x1632,x1633,x1631))
% 19.50/19.64 [164]~P11(x1641,x1643,x1642)+P17(x1641,f7(x1642,x1641,x1643))
% 19.50/19.64 [165]~P11(x1652,x1653,x1651)+P6(f7(x1651,x1652,x1653),x1651)
% 19.50/19.64 [166]~P11(x1662,x1663,x1661)+P13(f16(x1661,x1662,x1663),x1661)
% 19.50/19.64 [167]~P11(x1672,x1673,x1671)+P13(f17(x1671,x1672,x1673),x1671)
% 19.50/19.64 [168]~P11(x1681,x1682,x1683)+P15(f20(x1681,x1682,x1683),x1683)
% 19.50/19.64 [172]~P11(x1721,x1722,x1723)+P11(f20(x1721,x1722,x1723),x1722,x1723)
% 19.50/19.64 [113]~P6(x1131,a1)+P6(f13(x1131),a23)+P6(f13(x1131),a24)
% 19.50/19.64 [99]~P6(x991,x992)+P3(x991)+~P2(x992)
% 19.50/19.64 [100]~P6(x1002,x1001)+P2(x1001)+~P3(x1002)
% 19.50/19.64 [101]~P8(x1011,x1012)+P7(x1011)+~P7(x1012)
% 19.50/19.64 [108]~P7(x1082)+~P8(x1081,x1082)+P14(x1081,x1082)
% 19.50/19.64 [109]~P7(x1091)+~P5(x1091,x1092)+P15(x1091,x1092)
% 19.50/19.64 [125]~P15(x1252,x1251)+P2(x1251)+P17(x1252,f6(x1251,x1252))
% 19.50/19.64 [126]~P10(x1262,x1261)+P2(x1261)+P9(x1262,f11(x1262,x1261))
% 19.50/19.64 [127]~P10(x1272,x1271)+P2(x1271)+P6(f11(x1272,x1271),x1271)
% 19.50/19.64 [128]~P15(x1282,x1281)+P2(x1281)+P6(f6(x1281,x1282),x1281)
% 19.50/19.64 [129]~P6(x1292,x1291)+P2(x1291)+P15(f8(x1291,x1292),x1291)
% 19.50/19.64 [130]~P6(x1302,x1301)+P2(x1301)+P17(f8(x1301,x1302),x1302)
% 19.50/19.64 [146]~P15(x1461,x1462)+P10(x1461,x1462)+P11(x1461,f18(x1461,x1462),x1462)
% 19.50/19.64 [147]~P10(x1471,x1472)+P15(x1471,x1472)+P11(f19(x1471,x1472),x1471,x1472)
% 19.50/19.64 [111]~P6(x1113,x1111)+E(x1111,x1112)+~P6(x1113,x1112)
% 19.50/19.64 [114]~P8(x1141,x1143)+P8(x1141,x1142)+~P8(x1143,x1142)
% 19.50/19.64 [115]~P17(x1151,x1153)+P17(x1151,x1152)+~P17(x1153,x1152)
% 19.50/19.64 [159]P10(x1591,x1592)+~P11(x1593,x1591,x1592)+P11(x1591,f18(x1591,x1592),x1592)
% 19.50/19.64 [176]~P11(x1761,x1762,x1763)+P12(x1761,x1762,x1763)+P11(x1761,f21(x1761,x1762,x1763),x1763)
% 19.50/19.64 [177]~P11(x1771,x1772,x1773)+P12(x1771,x1772,x1773)+P11(f21(x1771,x1772,x1773),x1772,x1773)
% 19.50/19.64 [150]~P6(x1501,x1502)+~P11(x1504,x1503,x1502)+~P16(x1503,x1501)
% 19.50/19.64 [151]~P6(x1511,x1512)+~P11(x1513,x1514,x1512)+~P9(x1513,x1511)
% 19.50/19.64 [158]~P12(x1581,x1583,x1584)+E(x1581,x1582)+~P12(x1582,x1583,x1584)
% 19.50/19.64 [175]~P12(x1754,x1752,x1753)+~P11(x1751,x1752,x1753)+~P11(x1754,x1751,x1753)
% 19.50/19.64 [155]~P11(x1551,x1552,a1)+~P16(x1551,a2)+~P6(x1551,a22)+~P6(x1552,a23)
% 19.50/19.64 [156]~P11(x1561,x1562,a1)+~P16(x1561,a2)+~P6(x1561,a22)+~P6(x1562,a24)
% 19.50/19.64 [148]E(x1481,f13(x1482))+~P6(x1482,a1)+E(x1481,f12(x1482))+~P11(f4(x1482),x1481,a1)
% 19.50/19.64 [124]~P6(x1241,x1243)+~P13(x1242,x1243)+P5(x1241,x1242)+~P2(x1243)
% 19.50/19.64 [134]~P15(x1341,x1343)+~P17(x1341,x1342)+P16(x1341,x1342)+~P6(x1342,x1343)
% 19.50/19.64 [135]~P10(x1351,x1353)+~P17(x1351,x1352)+P9(x1351,x1352)+~P6(x1352,x1353)
% 19.50/19.64 [131]~P16(x1312,x1313)+~P16(x1311,x1313)+E(x1311,x1312)+~P6(x1313,x1314)
% 19.50/19.64 [157]~P11(x1571,x1574,x1573)+P17(x1571,x1572)+~P6(x1572,x1573)+~P17(x1574,x1572)
% 19.50/19.64 [173]~P14(x1731,x1732)+~P11(x1734,x1731,x1733)+P11(x1731,x1732,x1733)+~P11(x1734,x1732,x1733)
% 19.50/19.64 [174]~P14(x1741,x1742)+~P11(x1741,x1744,x1743)+P11(x1741,x1742,x1743)+~P11(x1742,x1744,x1743)
% 19.50/19.64 [133]P8(x1332,x1331)+P8(x1331,x1332)+~P8(x1331,x1333)+E(x1331,x1332)+~P8(x1332,x1333)
% 19.50/19.64 [132]~P9(x1322,x1324)+~P9(x1321,x1324)+E(x1321,x1322)+~P6(x1324,x1323)+P2(x1323)
% 19.50/19.64 [138]~P17(x1384,x1383)+P2(x1381)+P13(x1381,x1382)+~P6(x1383,x1382)+~P6(x1384,x1381)
% 19.50/19.64 [149]~P16(x1492,x1494)+~P9(x1491,x1494)+E(x1491,x1492)+P11(x1492,x1491,x1493)+~P6(x1494,x1493)
% 19.50/19.64 [178]~P6(x1782,x1784)+~P6(x1781,x1783)+~P13(x1783,x1784)+P17(x1781,x1782)+P17(f9(x1783,x1784,x1781,x1782),x1782)
% 19.50/19.64 [179]~P13(x1794,x1793)+P17(x1791,x1792)+~P6(x1792,x1793)+~P6(x1791,x1794)+~P17(f9(x1794,x1793,x1791,x1792),x1791)
% 19.50/19.64 [152]~P3(x1521)+~P17(x1521,x1524)+~P16(x1522,x1524)+E(x1521,x1522)+P11(x1522,x1521,x1523)+~P6(x1524,x1523)
% 19.50/19.64 [153]~P3(x1531)+~P17(x1531,x1534)+~P9(x1532,x1534)+E(x1531,x1532)+P11(x1531,x1532,x1533)+~P6(x1534,x1533)
% 19.50/19.64 [171]~P17(x1712,x1713)+~P17(x1711,x1713)+~P12(x1715,x1711,x1714)+E(x1711,x1712)+~P12(x1715,x1712,x1714)+~P6(x1713,x1714)
% 19.50/19.64 [169]~P17(x1692,x1694)+~P9(x1691,x1694)+~P11(x1695,x1692,x1693)+E(x1691,x1692)+P11(x1692,x1691,x1693)+~P6(x1694,x1693)+~P16(x1695,x1694)
% 19.50/19.64 [170]~P17(x1702,x1704)+~P16(x1701,x1704)+~P11(x1702,x1705,x1703)+E(x1701,x1702)+P11(x1701,x1702,x1703)+~P6(x1704,x1703)+~P9(x1705,x1704)
% 19.50/19.64 [160]P11(x1601,x1602,x1603)+~P3(x1602)+~P3(x1601)+~P17(x1602,x1604)+~P17(x1601,x1604)+E(x1601,x1602)+P11(x1602,x1601,x1603)+~P6(x1604,x1603)
% 19.50/19.64 %EqnAxiom
% 19.50/19.64 [1]E(x11,x11)
% 19.50/19.64 [2]E(x22,x21)+~E(x21,x22)
% 19.50/19.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 19.50/19.64 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 19.50/19.64 [5]~E(x51,x52)+E(f9(x51,x53,x54,x55),f9(x52,x53,x54,x55))
% 19.50/19.64 [6]~E(x61,x62)+E(f9(x63,x61,x64,x65),f9(x63,x62,x64,x65))
% 19.50/19.64 [7]~E(x71,x72)+E(f9(x73,x74,x71,x75),f9(x73,x74,x72,x75))
% 19.50/19.64 [8]~E(x81,x82)+E(f9(x83,x84,x85,x81),f9(x83,x84,x85,x82))
% 19.50/19.64 [9]~E(x91,x92)+E(f4(x91),f4(x92))
% 19.50/19.64 [10]~E(x101,x102)+E(f12(x101),f12(x102))
% 19.50/19.64 [11]~E(x111,x112)+E(f21(x111,x113,x114),f21(x112,x113,x114))
% 19.50/19.64 [12]~E(x121,x122)+E(f21(x123,x121,x124),f21(x123,x122,x124))
% 19.50/19.64 [13]~E(x131,x132)+E(f21(x133,x134,x131),f21(x133,x134,x132))
% 19.50/19.64 [14]~E(x141,x142)+E(f14(x141,x143),f14(x142,x143))
% 19.50/19.64 [15]~E(x151,x152)+E(f14(x153,x151),f14(x153,x152))
% 19.50/19.64 [16]~E(x161,x162)+E(f13(x161),f13(x162))
% 19.50/19.64 [17]~E(x171,x172)+E(f17(x171,x173,x174),f17(x172,x173,x174))
% 19.50/19.64 [18]~E(x181,x182)+E(f17(x183,x181,x184),f17(x183,x182,x184))
% 19.50/19.64 [19]~E(x191,x192)+E(f17(x193,x194,x191),f17(x193,x194,x192))
% 19.50/19.64 [20]~E(x201,x202)+E(f7(x201,x203,x204),f7(x202,x203,x204))
% 19.50/19.64 [21]~E(x211,x212)+E(f7(x213,x211,x214),f7(x213,x212,x214))
% 19.50/19.64 [22]~E(x221,x222)+E(f7(x223,x224,x221),f7(x223,x224,x222))
% 19.50/19.64 [23]~E(x231,x232)+E(f5(x231,x233),f5(x232,x233))
% 19.50/19.64 [24]~E(x241,x242)+E(f5(x243,x241),f5(x243,x242))
% 19.50/19.64 [25]~E(x251,x252)+E(f10(x251,x253),f10(x252,x253))
% 19.50/19.64 [26]~E(x261,x262)+E(f10(x263,x261),f10(x263,x262))
% 19.50/19.64 [27]~E(x271,x272)+E(f18(x271,x273),f18(x272,x273))
% 19.50/19.64 [28]~E(x281,x282)+E(f18(x283,x281),f18(x283,x282))
% 19.50/19.64 [29]~E(x291,x292)+E(f15(x291,x293),f15(x292,x293))
% 19.50/19.64 [30]~E(x301,x302)+E(f15(x303,x301),f15(x303,x302))
% 19.50/19.64 [31]~E(x311,x312)+E(f19(x311,x313),f19(x312,x313))
% 19.50/19.64 [32]~E(x321,x322)+E(f19(x323,x321),f19(x323,x322))
% 19.50/19.64 [33]~E(x331,x332)+E(f16(x331,x333,x334),f16(x332,x333,x334))
% 19.50/19.64 [34]~E(x341,x342)+E(f16(x343,x341,x344),f16(x343,x342,x344))
% 19.50/19.64 [35]~E(x351,x352)+E(f16(x353,x354,x351),f16(x353,x354,x352))
% 19.50/19.64 [36]~E(x361,x362)+E(f20(x361,x363,x364),f20(x362,x363,x364))
% 19.50/19.64 [37]~E(x371,x372)+E(f20(x373,x371,x374),f20(x373,x372,x374))
% 19.50/19.64 [38]~E(x381,x382)+E(f20(x383,x384,x381),f20(x383,x384,x382))
% 19.50/19.64 [39]~E(x391,x392)+E(f6(x391,x393),f6(x392,x393))
% 19.50/19.64 [40]~E(x401,x402)+E(f6(x403,x401),f6(x403,x402))
% 19.50/19.64 [41]~E(x411,x412)+E(f11(x411,x413),f11(x412,x413))
% 19.50/19.64 [42]~E(x421,x422)+E(f11(x423,x421),f11(x423,x422))
% 19.50/19.64 [43]~E(x431,x432)+E(f8(x431,x433),f8(x432,x433))
% 19.50/19.64 [44]~E(x441,x442)+E(f8(x443,x441),f8(x443,x442))
% 19.50/19.64 [45]~P1(x451)+P1(x452)+~E(x451,x452)
% 19.50/19.64 [46]~P2(x461)+P2(x462)+~E(x461,x462)
% 19.50/19.64 [47]P6(x472,x473)+~E(x471,x472)+~P6(x471,x473)
% 19.50/19.64 [48]P6(x483,x482)+~E(x481,x482)+~P6(x483,x481)
% 19.50/19.64 [49]P17(x492,x493)+~E(x491,x492)+~P17(x491,x493)
% 19.50/19.64 [50]P17(x503,x502)+~E(x501,x502)+~P17(x503,x501)
% 19.50/19.64 [51]P13(x512,x513)+~E(x511,x512)+~P13(x511,x513)
% 19.50/19.64 [52]P13(x523,x522)+~E(x521,x522)+~P13(x523,x521)
% 19.50/19.64 [53]P11(x532,x533,x534)+~E(x531,x532)+~P11(x531,x533,x534)
% 19.50/19.64 [54]P11(x543,x542,x544)+~E(x541,x542)+~P11(x543,x541,x544)
% 19.50/19.64 [55]P11(x553,x554,x552)+~E(x551,x552)+~P11(x553,x554,x551)
% 19.50/19.64 [56]P14(x562,x563)+~E(x561,x562)+~P14(x561,x563)
% 19.50/19.64 [57]P14(x573,x572)+~E(x571,x572)+~P14(x573,x571)
% 19.50/19.64 [58]~P3(x581)+P3(x582)+~E(x581,x582)
% 19.50/19.64 [59]~P7(x591)+P7(x592)+~E(x591,x592)
% 19.50/19.64 [60]P10(x602,x603)+~E(x601,x602)+~P10(x601,x603)
% 19.50/19.64 [61]P10(x613,x612)+~E(x611,x612)+~P10(x613,x611)
% 19.50/19.64 [62]~P4(x621)+P4(x622)+~E(x621,x622)
% 19.50/19.64 [63]P5(x632,x633)+~E(x631,x632)+~P5(x631,x633)
% 19.50/19.64 [64]P5(x643,x642)+~E(x641,x642)+~P5(x643,x641)
% 19.50/19.64 [65]P9(x652,x653)+~E(x651,x652)+~P9(x651,x653)
% 19.50/19.64 [66]P9(x663,x662)+~E(x661,x662)+~P9(x663,x661)
% 19.50/19.64 [67]P8(x672,x673)+~E(x671,x672)+~P8(x671,x673)
% 19.50/19.64 [68]P8(x683,x682)+~E(x681,x682)+~P8(x683,x681)
% 19.50/19.64 [69]P15(x692,x693)+~E(x691,x692)+~P15(x691,x693)
% 19.50/19.64 [70]P15(x703,x702)+~E(x701,x702)+~P15(x703,x701)
% 19.50/19.64 [71]P16(x712,x713)+~E(x711,x712)+~P16(x711,x713)
% 19.50/19.64 [72]P16(x723,x722)+~E(x721,x722)+~P16(x723,x721)
% 19.50/19.64 [73]P12(x732,x733,x734)+~E(x731,x732)+~P12(x731,x733,x734)
% 19.50/19.64 [74]P12(x743,x742,x744)+~E(x741,x742)+~P12(x743,x741,x744)
% 19.50/19.64 [75]P12(x753,x754,x752)+~E(x751,x752)+~P12(x753,x754,x751)
% 19.50/19.64
% 19.50/19.64 %-------------------------------------------
% 19.50/19.64 cnf(180,plain,
% 19.50/19.64 (~P11(x1801,x1802,a22)),
% 19.50/19.64 inference(scs_inference,[],[77,142])).
% 19.50/19.64 cnf(181,plain,
% 19.50/19.64 (~P3(a2)),
% 19.50/19.64 inference(scs_inference,[],[81,77,88,142,100])).
% 19.50/19.64 cnf(182,plain,
% 19.50/19.64 (~P6(a2,a22)),
% 19.50/19.64 inference(scs_inference,[],[81,77,88,142,100,99])).
% 19.50/19.64 cnf(184,plain,
% 19.50/19.64 (~E(a22,a25)),
% 19.50/19.64 inference(scs_inference,[],[81,77,82,88,142,100,99,2])).
% 19.50/19.64 cnf(187,plain,
% 19.50/19.64 (P13(a1,a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91])).
% 19.50/19.64 cnf(189,plain,
% 19.50/19.64 (P16(f4(a2),a2)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107])).
% 19.50/19.64 cnf(191,plain,
% 19.50/19.64 (P6(f12(a2),a25)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106])).
% 19.50/19.64 cnf(193,plain,
% 19.50/19.64 (P6(f4(a2),a22)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105])).
% 19.50/19.64 cnf(195,plain,
% 19.50/19.64 (P6(a2,f3(a2))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98])).
% 19.50/19.64 cnf(197,plain,
% 19.50/19.64 (P1(f3(a2))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90])).
% 19.50/19.64 cnf(199,plain,
% 19.50/19.64 (P11(f12(a2),f13(a2),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137])).
% 19.50/19.64 cnf(201,plain,
% 19.50/19.64 (P11(f4(a2),f12(a2),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136])).
% 19.50/19.64 cnf(203,plain,
% 19.50/19.64 (P15(f4(a2),f5(f4(a2),a2))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121])).
% 19.50/19.64 cnf(205,plain,
% 19.50/19.64 (P6(a2,f5(f4(a2),a2))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117])).
% 19.50/19.64 cnf(207,plain,
% 19.50/19.64 (P11(f20(f12(a2),f13(a2),a1),f13(a2),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172])).
% 19.50/19.64 cnf(209,plain,
% 19.50/19.64 (P15(f20(f12(a2),f13(a2),a1),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168])).
% 19.50/19.64 cnf(215,plain,
% 19.50/19.64 (P6(f7(a1,f12(a2),f13(a2)),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165])).
% 19.50/19.64 cnf(217,plain,
% 19.50/19.64 (P17(f12(a2),f7(a1,f12(a2),f13(a2)))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164])).
% 19.50/19.64 cnf(219,plain,
% 19.50/19.64 (P17(f13(a2),f7(a1,f12(a2),f13(a2)))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163])).
% 19.50/19.64 cnf(223,plain,
% 19.50/19.64 (P5(f12(a2),f16(a1,f12(a2),f13(a2)))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161])).
% 19.50/19.64 cnf(231,plain,
% 19.50/19.64 (~P16(f13(a2),a2)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150])).
% 19.50/19.64 cnf(233,plain,
% 19.50/19.64 (~P6(f12(a2),a22)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111])).
% 19.50/19.64 cnf(235,plain,
% 19.50/19.64 (P17(f8(a1,a2),a2)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130])).
% 19.50/19.64 cnf(237,plain,
% 19.50/19.64 (P15(f8(a1,a2),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129])).
% 19.50/19.64 cnf(239,plain,
% 19.50/19.64 (P17(f4(a2),f7(a1,f12(a2),f13(a2)))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157])).
% 19.50/19.64 cnf(241,plain,
% 19.50/19.64 (~P6(f12(a2),a24)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156])).
% 19.50/19.64 cnf(243,plain,
% 19.50/19.64 (~P6(f12(a2),a23)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155])).
% 19.50/19.64 cnf(245,plain,
% 19.50/19.64 (~P12(f12(a2),f13(a2),a22)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154])).
% 19.50/19.64 cnf(247,plain,
% 19.50/19.64 (~P10(f12(a2),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145])).
% 19.50/19.64 cnf(249,plain,
% 19.50/19.64 (~P15(f13(a2),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144])).
% 19.50/19.64 cnf(251,plain,
% 19.50/19.64 (P14(f12(a2),f13(a2))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143])).
% 19.50/19.64 cnf(253,plain,
% 19.50/19.64 (P3(f12(a2))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139])).
% 19.50/19.64 cnf(255,plain,
% 19.50/19.64 (P7(f4(a2))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97])).
% 19.50/19.64 cnf(257,plain,
% 19.50/19.64 (P7(f13(a2))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96])).
% 19.50/19.64 cnf(259,plain,
% 19.50/19.64 (P4(f12(a2))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95])).
% 19.50/19.64 cnf(263,plain,
% 19.50/19.64 (P1(a25)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92])).
% 19.50/19.64 cnf(265,plain,
% 19.50/19.64 (~P7(a2)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92,89])).
% 19.50/19.64 cnf(267,plain,
% 19.50/19.64 (~E(f12(a2),a2)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92,89,58])).
% 19.50/19.64 cnf(268,plain,
% 19.50/19.64 (~P12(f4(a2),f13(a2),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92,89,58,175])).
% 19.50/19.64 cnf(272,plain,
% 19.50/19.64 (P15(f13(a2),f17(a1,f12(a2),f13(a2)))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92,89,58,175,158,109])).
% 19.50/19.64 cnf(274,plain,
% 19.50/19.64 (P6(f6(a1,f8(a1,a2)),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92,89,58,175,158,109,128])).
% 19.50/19.64 cnf(276,plain,
% 19.50/19.64 (P17(f8(a1,a2),f6(a1,f8(a1,a2)))),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92,89,58,175,158,109,128,125])).
% 19.50/19.64 cnf(280,plain,
% 19.50/19.64 (P10(f8(a1,a2),a1)+P11(f8(a1,a2),f18(f8(a1,a2),a1),a1)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92,89,58,175,158,109,128,125,159,146])).
% 19.50/19.64 cnf(282,plain,
% 19.50/19.64 (P6(f13(a2),a24)+P6(f13(a2),a23)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92,89,58,175,158,109,128,125,159,146,113])).
% 19.50/19.64 cnf(292,plain,
% 19.50/19.64 (P5(f12(a2),x2921)+~P13(x2921,a25)),
% 19.50/19.64 inference(scs_inference,[],[81,76,77,78,82,88,142,100,99,2,93,91,107,106,105,98,90,137,136,121,117,172,168,167,166,165,164,163,162,161,62,55,47,46,151,150,111,130,129,157,156,155,154,145,144,143,139,97,96,95,94,92,89,58,175,158,109,128,125,159,146,113,177,176,134,131,124])).
% 19.50/19.64 cnf(301,plain,
% 19.50/19.64 (P17(f4(a2),a2)),
% 19.50/19.64 inference(scs_inference,[],[189,181,141,140,103])).
% 19.50/19.64 cnf(303,plain,
% 19.50/19.64 (P8(f12(a2),f13(a2))),
% 19.50/19.64 inference(scs_inference,[],[251,189,181,141,140,103,102])).
% 19.50/19.64 cnf(307,plain,
% 19.50/19.64 (P5(f8(a1,a2),f15(a1,f8(a1,a2)))),
% 19.50/19.64 inference(scs_inference,[],[251,237,189,181,141,140,103,102,123,120])).
% 19.50/19.64 cnf(309,plain,
% 19.50/19.64 (~E(f4(a2),f13(a2))),
% 19.50/19.64 inference(scs_inference,[],[251,237,189,231,181,141,140,103,102,123,120,71])).
% 19.50/19.64 cnf(311,plain,
% 19.50/19.64 (~E(f20(f12(a2),f13(a2),a1),f13(a2))),
% 19.50/19.64 inference(scs_inference,[],[272,251,209,237,189,231,249,181,141,140,103,102,123,120,71,70,69])).
% 19.50/19.64 cnf(315,plain,
% 19.50/19.64 (~P11(x3151,f13(a2),f17(a1,f12(a2),f13(a2)))),
% 19.50/19.64 inference(scs_inference,[],[182,272,251,255,205,209,237,189,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144])).
% 19.50/19.64 cnf(317,plain,
% 19.50/19.64 (~P11(a2,x3171,x3172)),
% 19.50/19.64 inference(scs_inference,[],[182,272,251,255,205,209,237,189,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139])).
% 19.50/19.64 cnf(319,plain,
% 19.50/19.64 (~P16(f12(a2),a2)),
% 19.50/19.64 inference(scs_inference,[],[81,182,272,251,255,205,209,237,201,189,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150])).
% 19.50/19.64 cnf(321,plain,
% 19.50/19.64 (~P15(a2,x3211)),
% 19.50/19.64 inference(scs_inference,[],[81,182,272,251,255,205,209,237,201,189,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97])).
% 19.50/19.64 cnf(323,plain,
% 19.50/19.64 (~P14(x3231,a2)),
% 19.50/19.64 inference(scs_inference,[],[81,182,272,251,255,205,209,237,201,189,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96])).
% 19.50/19.64 cnf(325,plain,
% 19.50/19.65 (~P16(a2,x3251)),
% 19.50/19.65 inference(scs_inference,[],[81,182,272,251,255,205,209,237,201,189,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121])).
% 19.50/19.65 cnf(327,plain,
% 19.50/19.65 (~P9(f20(f12(a2),f13(a2),a1),a2)),
% 19.50/19.65 inference(scs_inference,[],[81,182,272,251,255,205,209,207,237,201,189,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151])).
% 19.50/19.65 cnf(329,plain,
% 19.50/19.65 (~P6(f4(a2),a23)),
% 19.50/19.65 inference(scs_inference,[],[81,83,182,272,251,255,205,209,207,237,201,189,193,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111])).
% 19.50/19.65 cnf(331,plain,
% 19.50/19.65 (~P5(f13(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[81,83,182,272,251,255,257,205,209,207,237,201,189,193,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111,109])).
% 19.50/19.65 cnf(333,plain,
% 19.50/19.65 (P16(f8(a1,a2),f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[81,83,276,182,272,251,255,257,205,209,207,237,274,201,189,193,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111,109,134])).
% 19.50/19.65 cnf(335,plain,
% 19.50/19.65 (P3(f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[81,83,276,182,272,251,255,257,205,209,207,237,274,201,189,193,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111,109,134,89])).
% 19.50/19.65 cnf(339,plain,
% 19.50/19.65 (~P11(x3391,a2,x3392)),
% 19.50/19.65 inference(scs_inference,[],[81,79,83,276,182,272,251,255,257,205,209,207,237,274,201,189,193,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111,109,134,89,99,143])).
% 19.50/19.65 cnf(342,plain,
% 19.50/19.65 (~P8(f13(a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[81,79,83,88,276,182,272,251,255,257,205,209,207,237,274,201,189,193,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111,109,134,89,99,143,46,110])).
% 19.50/19.65 cnf(346,plain,
% 19.50/19.65 (~P10(a2,f5(a2,x3461))),
% 19.50/19.65 inference(scs_inference,[],[81,79,83,88,276,182,272,251,255,257,205,209,207,237,274,201,245,189,193,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111,109,134,89,99,143,46,110,75,59,147])).
% 19.50/19.65 cnf(348,plain,
% 19.50/19.65 (~P3(f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[81,79,83,88,276,182,272,251,255,257,205,209,207,237,274,201,245,189,193,231,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111,109,134,89,99,143,46,110,75,59,147,100])).
% 19.50/19.65 cnf(350,plain,
% 19.50/19.65 (P11(f12(a2),f18(f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[81,79,83,88,276,182,272,251,255,257,205,209,207,237,274,201,245,189,193,231,247,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111,109,134,89,99,143,46,110,75,59,147,100,159])).
% 19.50/19.65 cnf(356,plain,
% 19.50/19.65 (~P12(f12(a2),f13(a2),f4(a2))+P14(x3561,f4(a2))+~P8(x3561,f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[81,79,83,88,276,182,272,251,255,257,205,209,207,237,274,201,245,189,193,231,247,249,181,265,141,140,103,102,123,120,71,70,69,48,101,144,139,150,97,96,121,151,111,109,134,89,99,143,46,110,75,59,147,100,159,131,114,108])).
% 19.50/19.65 cnf(370,plain,
% 19.50/19.65 (~P11(x3701,a2,x3702)),
% 19.50/19.65 inference(rename_variables,[],[339])).
% 19.50/19.65 cnf(376,plain,
% 19.50/19.65 (~P8(a2,f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[267,217,317,339,370,350,215,253,207,257,265,54,53,153,101])).
% 19.50/19.65 cnf(380,plain,
% 19.50/19.65 (~P14(f13(a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[267,217,317,339,370,203,342,350,215,253,207,257,265,54,53,153,101,144,102])).
% 19.50/19.65 cnf(382,plain,
% 19.50/19.65 (~P12(f4(a2),f18(f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[267,217,317,339,370,203,342,350,215,253,207,257,201,265,54,53,153,101,144,102,175])).
% 19.50/19.65 cnf(384,plain,
% 19.50/19.65 (~P6(f4(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[88,267,217,317,339,370,203,335,342,350,215,253,207,257,201,265,54,53,153,101,144,102,175,100])).
% 19.50/19.65 cnf(386,plain,
% 19.50/19.65 (~P11(f6(a1,f8(a1,a2)),x3861,x3862)),
% 19.50/19.65 inference(scs_inference,[],[88,348,267,217,317,339,370,203,335,342,350,215,253,207,257,201,265,54,53,153,101,144,102,175,100,139])).
% 19.50/19.65 cnf(390,plain,
% 19.50/19.65 (~P7(f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,333,348,267,217,317,339,370,241,203,325,335,342,350,215,253,191,207,257,201,265,54,53,153,101,144,102,175,100,139,71,48,89])).
% 19.50/19.65 cnf(392,plain,
% 19.50/19.65 (~P11(x3921,f8(a1,a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[88,333,348,267,217,317,339,370,241,203,325,335,342,350,215,253,191,207,257,201,274,265,54,53,153,101,144,102,175,100,139,71,48,89,150])).
% 19.50/19.65 cnf(396,plain,
% 19.50/19.65 (~P14(x3961,f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,333,348,267,217,317,339,370,241,203,325,335,342,350,215,253,191,207,257,201,274,265,54,53,153,101,144,102,175,100,139,71,48,89,150,143,96])).
% 19.50/19.65 cnf(398,plain,
% 19.50/19.65 (~P2(f3(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,333,348,267,217,317,339,370,241,203,325,335,342,350,215,253,191,195,207,257,201,274,181,265,54,53,153,101,144,102,175,100,139,71,48,89,150,143,96,99])).
% 19.50/19.65 cnf(402,plain,
% 19.50/19.65 (~E(f4(a2),f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,333,348,267,268,217,317,339,370,241,203,325,335,342,350,215,253,191,195,207,251,257,201,274,181,265,54,53,153,101,144,102,175,100,139,71,48,89,150,143,96,99,74,57,58])).
% 19.50/19.65 cnf(403,plain,
% 19.50/19.65 (~P10(a2,a22)),
% 19.50/19.65 inference(scs_inference,[],[180,88,333,348,267,268,217,317,339,370,241,203,321,325,335,342,350,215,253,191,195,207,251,257,201,274,181,265,54,53,153,101,144,102,175,100,139,71,48,89,150,143,96,99,74,57,58,147])).
% 19.50/19.65 cnf(407,plain,
% 19.50/19.65 (P7(f20(f12(a2),f13(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[180,88,333,348,267,268,217,317,339,370,241,203,321,325,335,342,350,215,253,191,209,195,207,251,257,201,274,181,265,54,53,153,101,144,102,175,100,139,71,48,89,150,143,96,99,74,57,58,147,97])).
% 19.50/19.65 cnf(409,plain,
% 19.50/19.65 (~E(f7(a1,f12(a2),f13(a2)),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,88,333,348,267,268,217,317,339,370,241,203,321,325,335,342,350,215,253,191,209,195,207,251,257,201,274,181,265,54,53,153,101,144,102,175,100,139,71,48,89,150,143,96,99,74,57,58,147,97,47])).
% 19.50/19.65 cnf(424,plain,
% 19.50/19.65 (P15(f8(f3(a2),a2),f3(a2))),
% 19.50/19.65 inference(scs_inference,[],[398,195,129])).
% 19.50/19.65 cnf(426,plain,
% 19.50/19.65 (~E(f13(a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[392,398,199,195,129,54])).
% 19.50/19.65 cnf(430,plain,
% 19.50/19.65 (P17(f8(f3(a2),a2),a2)),
% 19.50/19.65 inference(scs_inference,[],[386,392,398,199,195,129,54,53,130])).
% 19.50/19.65 cnf(432,plain,
% 19.50/19.65 (~P15(f18(f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[386,392,398,199,195,350,129,54,53,130,144])).
% 19.50/19.65 cnf(434,plain,
% 19.50/19.65 (P3(f20(f12(a2),f13(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[386,392,398,199,195,350,207,129,54,53,130,144,139])).
% 19.50/19.65 cnf(436,plain,
% 19.50/19.65 (~P15(f6(a1,f8(a1,a2)),x4361)),
% 19.50/19.65 inference(scs_inference,[],[386,390,392,398,199,195,350,207,129,54,53,130,144,139,97])).
% 19.50/19.65 cnf(438,plain,
% 19.50/19.65 (P7(f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[386,390,392,398,199,303,195,350,207,257,129,54,53,130,144,139,97,101])).
% 19.50/19.65 cnf(440,plain,
% 19.50/19.65 (P3(f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[386,390,392,398,199,303,195,350,207,257,129,54,53,130,144,139,97,101,89])).
% 19.50/19.65 cnf(442,plain,
% 19.50/19.65 (P15(f12(a2),f16(a1,f12(a2),f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[386,390,223,392,398,199,303,195,350,207,257,129,54,53,130,144,139,97,101,89,109])).
% 19.50/19.65 cnf(444,plain,
% 19.50/19.65 (~P11(x4441,f4(a2),f3(a2))),
% 19.50/19.65 inference(scs_inference,[],[386,390,223,392,398,199,303,195,350,207,257,189,129,54,53,130,144,139,97,101,89,109,150])).
% 19.50/19.65 cnf(446,plain,
% 19.50/19.65 (P14(f12(a2),f18(f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[386,390,223,392,398,199,303,195,350,207,257,189,129,54,53,130,144,139,97,101,89,109,150,143])).
% 19.50/19.65 cnf(455,plain,
% 19.50/19.65 (~P9(f8(a1,a2),f7(a1,f12(a2),f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[426,219,440,392,215,153])).
% 19.50/19.65 cnf(458,plain,
% 19.50/19.65 (P8(f12(a2),f18(f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[426,219,446,440,392,215,153,102])).
% 19.50/19.65 cnf(462,plain,
% 19.50/19.65 (~P15(f12(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[88,434,426,219,446,440,392,201,215,153,102,100,144])).
% 19.50/19.65 cnf(464,plain,
% 19.50/19.65 (P7(f18(f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[88,434,426,219,446,440,392,201,215,153,102,100,144,96])).
% 19.50/19.65 cnf(468,plain,
% 19.50/19.65 (P7(f8(f3(a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[88,407,434,426,219,424,446,440,392,201,265,215,153,102,100,144,96,101,97])).
% 19.50/19.65 cnf(470,plain,
% 19.50/19.65 (P14(f20(f12(a2),f13(a2),a1),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,407,434,426,219,424,446,440,392,207,201,265,215,153,102,100,144,96,101,97,143])).
% 19.50/19.65 cnf(472,plain,
% 19.50/19.65 (~P16(f13(a2),f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,407,434,426,219,424,446,440,392,199,207,201,274,265,215,153,102,100,144,96,101,97,143,150])).
% 19.50/19.65 cnf(474,plain,
% 19.50/19.65 (~P2(f5(f4(a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[181,88,407,434,426,219,424,446,440,392,205,199,207,201,274,265,215,153,102,100,144,96,101,97,143,150,99])).
% 19.50/19.65 cnf(477,plain,
% 19.50/19.65 (~P8(f18(f12(a2),a1),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[181,88,407,434,319,426,219,424,446,440,392,205,199,207,201,274,265,215,153,102,100,144,96,101,97,143,150,99,72,110])).
% 19.50/19.65 cnf(481,plain,
% 19.50/19.65 (P3(f18(f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[181,88,407,434,319,426,219,442,424,446,440,392,209,205,199,207,201,274,265,215,153,102,100,144,96,101,97,143,150,99,72,110,69,70,89])).
% 19.50/19.65 cnf(483,plain,
% 19.50/19.65 (~P5(f18(f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[181,88,407,434,319,426,219,442,424,446,440,432,392,209,205,199,207,201,274,265,215,153,102,100,144,96,101,97,143,150,99,72,110,69,70,89,109])).
% 19.50/19.65 cnf(485,plain,
% 19.50/19.65 (~P11(f4(a2),f20(f12(a2),f13(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[181,88,407,434,319,426,219,442,424,446,440,432,311,392,209,205,199,207,201,274,265,215,81,153,102,100,144,96,101,97,143,150,99,72,110,69,70,89,109,148])).
% 19.50/19.65 cnf(505,plain,
% 19.50/19.65 (P4(f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[235,95])).
% 19.50/19.65 cnf(509,plain,
% 19.50/19.65 (P17(f4(a2),f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[235,276,201,95,94,164])).
% 19.50/19.65 cnf(511,plain,
% 19.50/19.65 (P17(f12(a2),f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[235,276,201,95,94,164,163])).
% 19.50/19.65 cnf(513,plain,
% 19.50/19.65 (~P14(f18(f12(a2),a1),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[235,477,276,201,95,94,164,163,102])).
% 19.50/19.65 cnf(515,plain,
% 19.50/19.65 (~P3(f7(a1,f12(a2),f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,235,477,276,201,215,95,94,164,163,102,100])).
% 19.50/19.65 cnf(519,plain,
% 19.50/19.65 (~P7(f7(a1,f12(a2),f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,235,477,276,442,201,215,95,94,164,163,102,100,144,89])).
% 19.50/19.65 cnf(521,plain,
% 19.50/19.65 (~P8(f6(a1,f8(a1,a2)),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,235,477,438,276,390,442,201,215,95,94,164,163,102,100,144,89,101])).
% 19.50/19.65 cnf(523,plain,
% 19.50/19.65 (~P15(f7(a1,f12(a2),f13(a2)),x5231)),
% 19.50/19.65 inference(scs_inference,[],[88,235,477,438,276,390,442,201,215,95,94,164,163,102,100,144,89,101,97])).
% 19.50/19.65 cnf(525,plain,
% 19.50/19.65 (~P11(x5251,f6(a1,f8(a1,a2)),x5252)),
% 19.50/19.65 inference(scs_inference,[],[88,235,477,396,438,276,390,442,201,215,95,94,164,163,102,100,144,89,101,97,143])).
% 19.50/19.65 cnf(587,plain,
% 19.50/19.65 (~P11(f7(a1,f12(a2),f13(a2)),x5871,x5872)),
% 19.50/19.65 inference(scs_inference,[],[515,470,141,140,102,139])).
% 19.50/19.65 cnf(591,plain,
% 19.50/19.65 (~P11(x5911,f8(f3(a2),a2),f3(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,515,470,481,424,141,140,102,139,100,144])).
% 19.50/19.65 cnf(593,plain,
% 19.50/19.65 (P3(f8(f3(a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[88,515,470,481,468,424,141,140,102,139,100,144,89])).
% 19.50/19.65 cnf(595,plain,
% 19.50/19.65 (P7(f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[88,515,470,481,468,424,237,141,140,102,139,100,144,89,97])).
% 19.50/19.65 cnf(597,plain,
% 19.50/19.65 (~P5(f12(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[88,515,470,462,481,468,424,438,237,141,140,102,139,100,144,89,97,109])).
% 19.50/19.65 cnf(602,plain,
% 19.50/19.65 (~P8(f13(a2),f20(f12(a2),f13(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[88,455,515,470,462,481,513,468,424,438,237,141,140,102,139,100,144,89,97,109,143,66,110])).
% 19.50/19.65 cnf(604,plain,
% 19.50/19.65 (~P6(f4(a2),a25)),
% 19.50/19.65 inference(scs_inference,[],[88,455,515,470,462,481,513,184,468,424,438,237,193,141,140,102,139,100,144,89,97,109,143,66,110,111])).
% 19.50/19.65 cnf(608,plain,
% 19.50/19.65 (~E(f4(a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,455,515,233,470,462,481,513,184,468,424,438,237,193,350,274,141,140,102,139,100,144,89,97,109,143,66,110,111,151,47])).
% 19.50/19.65 cnf(609,plain,
% 19.50/19.65 (~E(a25,a1)),
% 19.50/19.65 inference(scs_inference,[],[78,88,455,515,233,470,462,481,513,184,468,424,438,237,193,350,274,141,140,102,139,100,144,89,97,109,143,66,110,111,151,47,46])).
% 19.50/19.65 cnf(610,plain,
% 19.50/19.65 (~P13(a1,a25)),
% 19.50/19.65 inference(scs_inference,[],[78,88,455,515,233,470,462,481,513,184,468,424,438,237,193,350,274,141,140,102,139,100,144,89,97,109,143,66,110,111,151,47,46,292])).
% 19.50/19.65 cnf(614,plain,
% 19.50/19.65 (~P13(a25,a25)+P17(f12(a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[78,88,455,515,233,470,462,481,513,184,468,424,438,191,237,193,350,274,141,140,102,139,100,144,89,97,109,143,66,110,111,151,47,46,292,178,179])).
% 19.50/19.65 cnf(618,plain,
% 19.50/19.65 (~E(a1,a25)),
% 19.50/19.65 inference(scs_inference,[],[610,187,52])).
% 19.50/19.65 cnf(619,plain,
% 19.50/19.65 (~P11(f4(a2),f4(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[608,610,187,309,81,52,148])).
% 19.50/19.65 cnf(621,plain,
% 19.50/19.65 (~P17(f6(a1,f8(a1,a2)),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,608,610,187,309,191,274,81,52,148,138])).
% 19.50/19.65 cnf(623,plain,
% 19.50/19.65 (P13(f3(a2),f3(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,608,610,187,309,197,191,274,81,52,148,138,91])).
% 19.50/19.65 cnf(625,plain,
% 19.50/19.65 (~E(f8(f3(a2),a2),a2)),
% 19.50/19.65 inference(scs_inference,[],[181,88,593,608,610,187,309,197,191,274,81,52,148,138,91,58])).
% 19.50/19.65 cnf(626,plain,
% 19.50/19.65 (~P6(f4(a2),a24)),
% 19.50/19.65 inference(scs_inference,[],[85,181,88,593,608,610,187,309,197,191,193,274,81,52,148,138,91,58,111])).
% 19.50/19.65 cnf(628,plain,
% 19.50/19.65 (~E(f8(a1,a2),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[85,181,88,593,472,608,610,187,309,197,333,191,193,274,81,52,148,138,91,58,111,71])).
% 19.50/19.65 cnf(630,plain,
% 19.50/19.65 (~P9(f4(a2),f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[85,181,88,243,593,472,608,610,187,309,197,333,191,193,274,201,81,52,148,138,91,58,111,71,48,151])).
% 19.50/19.65 cnf(634,plain,
% 19.50/19.65 (~P14(f13(a2),f20(f12(a2),f13(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[85,181,88,243,593,602,472,608,610,187,309,197,333,191,193,274,201,81,52,148,138,91,58,111,71,48,151,100,102])).
% 19.50/19.65 cnf(636,plain,
% 19.50/19.65 (~E(a25,f5(f4(a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[78,85,181,88,474,243,593,602,472,608,610,187,309,197,333,191,193,274,201,81,52,148,138,91,58,111,71,48,151,100,102,46])).
% 19.50/19.65 cnf(637,plain,
% 19.50/19.65 (P14(f4(a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[78,85,181,88,474,243,593,602,472,608,610,187,309,197,333,191,193,274,201,81,52,148,138,91,58,111,71,48,151,100,102,46,143])).
% 19.50/19.65 cnf(642,plain,
% 19.50/19.65 (~E(f4(a2),f18(f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[78,85,181,88,474,243,593,327,602,472,608,610,187,309,197,513,333,191,193,274,201,81,52,148,138,91,58,111,71,48,151,100,102,46,143,104,65,56])).
% 19.50/19.65 cnf(646,plain,
% 19.50/19.65 (~P11(x6461,x6462,a22)),
% 19.50/19.65 inference(rename_variables,[],[180])).
% 19.50/19.65 cnf(653,plain,
% 19.50/19.65 (~P3(a25)+~P3(a24)+~P17(a24,f4(a2))+P11(a24,a25,a22)+~E(f4(a2),f20(f12(a2),f13(a2),a1))+~P17(a25,f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[78,86,85,180,646,181,88,474,523,243,593,327,602,472,608,610,187,301,309,197,513,333,191,205,193,274,201,81,52,148,138,91,58,111,71,48,151,100,102,46,143,104,65,56,135,147,115,169,160])).
% 19.50/19.65 cnf(661,plain,
% 19.50/19.65 (~P8(a2,f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[621,376,303,103,114])).
% 19.50/19.65 cnf(663,plain,
% 19.50/19.65 (~P9(a2,a2)),
% 19.50/19.65 inference(scs_inference,[],[621,625,430,376,339,593,303,195,103,114,153])).
% 19.50/19.65 cnf(666,plain,
% 19.50/19.65 (~E(f8(a1,a2),f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[621,625,436,430,376,339,593,237,303,195,103,114,153,69])).
% 19.50/19.65 cnf(670,plain,
% 19.50/19.65 (~E(f12(a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[621,625,642,604,436,430,376,339,593,237,303,195,191,189,103,114,153,69,131,47])).
% 19.50/19.65 cnf(672,plain,
% 19.50/19.65 (P8(f4(a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[182,621,625,642,637,604,436,430,376,339,593,237,303,195,191,189,103,114,153,69,131,47,48,102])).
% 19.50/19.65 cnf(677,plain,
% 19.50/19.65 (P4(f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[182,595,621,597,625,642,637,604,307,436,430,376,339,593,237,303,195,191,193,189,103,114,153,69,131,47,48,102,109,63,93])).
% 19.50/19.65 cnf(679,plain,
% 19.50/19.65 (~P8(f12(a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[182,595,621,597,625,642,637,604,307,436,430,376,339,593,237,303,195,191,193,189,103,114,153,69,131,47,48,102,109,63,93,110])).
% 19.50/19.65 cnf(681,plain,
% 19.50/19.65 (~P17(f7(a1,f12(a2),f13(a2)),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[182,88,595,621,597,625,642,637,604,307,436,430,376,339,593,610,237,303,195,191,215,193,189,103,114,153,69,131,47,48,102,109,63,93,110,138])).
% 19.50/19.65 cnf(691,plain,
% 19.50/19.65 (P14(x6911,f8(a1,a2))+~P5(f12(x6912),a1)+~P8(x6911,f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[182,180,88,587,595,621,597,634,625,642,637,604,519,307,436,430,376,339,593,610,237,303,195,350,191,215,193,189,103,114,153,69,131,47,48,102,109,63,93,110,138,53,59,143,10,653,108])).
% 19.50/19.65 cnf(707,plain,
% 19.50/19.65 (P8(f4(a2),f18(f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[672,525,402,458,301,335,205,153,114])).
% 19.50/19.65 cnf(712,plain,
% 19.50/19.65 (~P14(a2,f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[661,672,485,525,402,458,301,335,205,201,153,114,54,110,102])).
% 19.50/19.65 cnf(715,plain,
% 19.50/19.65 (P4(f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[661,403,672,485,525,402,458,301,219,335,205,201,153,114,54,110,102,61,95])).
% 19.50/19.65 cnf(717,plain,
% 19.50/19.65 (P14(f4(a2),f18(f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[661,403,672,464,485,525,402,458,301,219,335,205,201,153,114,54,110,102,61,95,108])).
% 19.50/19.65 cnf(719,plain,
% 19.50/19.65 (P5(f4(a2),f16(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[661,403,672,464,485,525,402,458,301,219,335,205,201,153,114,54,110,102,61,95,108,161])).
% 19.50/19.65 cnf(721,plain,
% 19.50/19.65 (~P14(f4(a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[619,661,403,672,464,485,525,402,458,301,219,335,205,201,153,114,54,110,102,61,95,108,161,174])).
% 19.50/19.65 cnf(731,plain,
% 19.50/19.65 (P6(f7(a1,f4(a2),f12(a2)),a1)),
% 19.50/19.65 inference(scs_inference,[],[180,511,207,201,94,154,145,165])).
% 19.50/19.65 cnf(733,plain,
% 19.50/19.65 (P5(f12(a2),f17(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[180,511,207,201,94,154,145,165,162])).
% 19.50/19.65 cnf(735,plain,
% 19.50/19.65 (P16(f8(f3(a2),a2),a2)),
% 19.50/19.65 inference(scs_inference,[],[180,511,424,430,207,195,201,94,154,145,165,162,134])).
% 19.50/19.65 cnf(737,plain,
% 19.50/19.65 (P1(f5(f4(a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[180,511,424,430,207,205,195,201,94,154,145,165,162,134,92])).
% 19.50/19.65 cnf(739,plain,
% 19.50/19.65 (~E(f18(f12(a2),a1),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,721,717,511,424,430,207,205,195,201,94,154,145,165,162,134,92,57])).
% 19.50/19.65 cnf(741,plain,
% 19.50/19.65 (~P11(x7411,x7412,a24)),
% 19.50/19.65 inference(scs_inference,[],[80,180,721,717,511,597,424,430,207,205,195,201,94,154,145,165,162,134,92,57,64,142])).
% 19.50/19.65 cnf(743,plain,
% 19.50/19.65 (P6(f13(a2),f3(f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[80,180,721,717,715,511,597,424,430,207,205,195,201,94,154,145,165,162,134,92,57,64,142,98])).
% 19.50/19.65 cnf(747,plain,
% 19.50/19.65 (P15(f20(f4(a2),f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[80,180,721,717,715,511,597,424,430,207,205,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168])).
% 19.50/19.65 cnf(753,plain,
% 19.50/19.65 (~P8(f4(a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[80,180,721,717,715,511,597,424,430,255,207,205,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108])).
% 19.50/19.65 cnf(755,plain,
% 19.50/19.65 (P11(f20(f4(a2),f12(a2),a1),f12(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[80,180,721,717,715,511,597,424,430,255,207,205,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172])).
% 19.50/19.65 cnf(764,plain,
% 19.50/19.65 (~P8(f7(a1,f12(a2),f13(a2)),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,721,717,715,618,521,511,263,597,672,519,424,430,595,255,207,205,215,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101])).
% 19.50/19.65 cnf(766,plain,
% 19.50/19.65 (~P14(x7661,f7(a1,f12(a2),f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,721,717,715,618,521,511,263,597,672,519,424,430,595,255,207,205,215,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101,96])).
% 19.50/19.65 cnf(768,plain,
% 19.50/19.65 (P15(f4(a2),f16(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,719,721,717,715,618,521,511,263,597,672,519,424,430,595,255,207,205,215,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101,96,109])).
% 19.50/19.65 cnf(770,plain,
% 19.50/19.65 (P14(f20(f4(a2),f12(a2),a1),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,719,721,717,715,618,521,511,263,597,672,519,424,430,595,255,207,205,215,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101,96,109,143])).
% 19.50/19.65 cnf(777,plain,
% 19.50/19.65 (P3(f20(f4(a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,719,721,717,715,618,521,511,346,263,597,672,519,424,430,595,255,207,199,205,215,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101,96,109,143,60,175,150,139])).
% 19.50/19.65 cnf(781,plain,
% 19.50/19.65 (~P3(f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,181,88,719,721,717,715,618,521,511,346,263,597,672,519,424,430,595,255,207,199,205,215,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101,96,109,143,60,175,150,139,99,100])).
% 19.50/19.65 cnf(783,plain,
% 19.50/19.65 (P8(f20(f4(a2),f12(a2),a1),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,181,88,719,721,717,715,618,521,511,346,263,597,672,519,424,430,595,255,207,199,205,215,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101,96,109,143,60,175,150,139,99,100,102])).
% 19.50/19.65 cnf(785,plain,
% 19.50/19.65 (P17(f12(a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,181,88,719,721,717,715,618,521,511,346,263,597,672,519,424,430,595,255,207,199,205,215,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101,96,109,143,60,175,150,139,99,100,102,614])).
% 19.50/19.65 cnf(790,plain,
% 19.50/19.65 (P5(f12(a2),a25)),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,181,88,719,721,717,715,618,521,511,346,263,597,672,519,424,430,595,255,207,199,205,215,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101,96,109,143,60,175,150,139,99,100,102,614,156,155,292])).
% 19.50/19.65 cnf(795,plain,
% 19.50/19.65 (P5(f4(a2),x7951)+~P13(x7951,a22)),
% 19.50/19.65 inference(scs_inference,[],[80,87,180,181,88,719,721,717,715,618,521,511,346,263,597,672,519,424,430,595,255,77,207,199,205,215,193,195,201,94,154,145,165,162,134,92,57,64,142,98,90,168,167,166,108,172,2,114,91,111,101,96,109,143,60,175,150,139,99,100,102,614,156,155,292,176,62,124])).
% 19.50/19.65 cnf(806,plain,
% 19.50/19.65 (P6(f12(a2),f14(f12(a2),a25))),
% 19.50/19.65 inference(scs_inference,[],[790,119,116])).
% 19.50/19.65 cnf(808,plain,
% 19.50/19.65 (P2(f14(f12(a2),a25))),
% 19.50/19.65 inference(scs_inference,[],[790,119,116,112])).
% 19.50/19.65 cnf(817,plain,
% 19.50/19.65 (P16(f8(a1,a2),a2)),
% 19.50/19.65 inference(scs_inference,[],[781,755,770,741,790,712,235,237,81,119,116,112,141,140,56,55,134])).
% 19.50/19.65 cnf(819,plain,
% 19.50/19.65 (~P8(a2,f20(f4(a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[781,755,783,770,741,790,712,661,235,237,81,119,116,112,141,140,56,55,134,114])).
% 19.50/19.65 cnf(821,plain,
% 19.50/19.65 (~P17(f7(a1,f4(a2),f12(a2)),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,781,755,783,770,731,741,790,712,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138])).
% 19.50/19.65 cnf(823,plain,
% 19.50/19.65 (~E(f4(a2),f7(a1,f12(a2),f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,781,768,755,783,770,731,741,790,712,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69])).
% 19.50/19.65 cnf(825,plain,
% 19.50/19.65 (~P16(f12(a2),f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,781,768,755,783,770,731,741,790,712,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150])).
% 19.50/19.65 cnf(827,plain,
% 19.50/19.65 (~P8(f12(a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[88,781,768,755,783,770,731,741,790,712,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110])).
% 19.50/19.65 cnf(831,plain,
% 19.50/19.65 (~P11(f7(a1,f4(a2),f12(a2)),x8311,x8312)),
% 19.50/19.65 inference(scs_inference,[],[88,781,768,755,783,770,731,741,790,712,609,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139])).
% 19.50/19.65 cnf(833,plain,
% 19.50/19.65 (~P7(f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,781,768,755,783,770,731,741,790,712,609,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89])).
% 19.50/19.65 cnf(835,plain,
% 19.50/19.65 (~P15(f7(a1,f4(a2),f12(a2)),x8351)),
% 19.50/19.65 inference(scs_inference,[],[88,781,768,755,783,770,731,741,790,712,609,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89,97])).
% 19.50/19.65 cnf(839,plain,
% 19.50/19.65 (~P11(x8391,f7(a1,f12(a2),f13(a2)),x8392)),
% 19.50/19.65 inference(scs_inference,[],[88,766,781,777,768,755,783,770,731,741,790,712,609,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89,97,100,143])).
% 19.50/19.65 cnf(841,plain,
% 19.50/19.65 (~P14(f7(a1,f12(a2),f13(a2)),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[88,766,781,764,777,768,755,783,770,731,741,790,712,609,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89,97,100,143,102])).
% 19.50/19.65 cnf(844,plain,
% 19.50/19.65 (~E(f12(a2),f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,785,766,781,764,777,768,755,783,770,731,741,790,712,681,609,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89,97,100,143,102,50,49])).
% 19.50/19.65 cnf(845,plain,
% 19.50/19.65 (P6(a2,f5(f8(a1,a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[88,785,766,781,764,777,768,755,783,770,731,741,790,712,681,609,523,661,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89,97,100,143,102,50,49,117])).
% 19.50/19.65 cnf(850,plain,
% 19.50/19.65 (P15(f8(a1,a2),f5(f8(a1,a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[88,785,766,781,764,777,768,755,783,770,731,741,790,712,681,609,523,661,342,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89,97,100,143,102,50,49,117,104,67,121])).
% 19.50/19.65 cnf(852,plain,
% 19.50/19.65 (~E(f8(f3(a2),a2),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,785,766,781,764,777,768,755,783,770,731,741,790,735,712,681,609,523,661,231,342,235,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89,97,100,143,102,50,49,117,104,67,121,71])).
% 19.50/19.65 cnf(853,plain,
% 19.50/19.65 (P7(f20(f4(a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[88,785,766,781,764,777,768,755,783,770,731,741,790,735,712,681,609,523,661,231,342,235,438,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89,97,100,143,102,50,49,117,104,67,121,71,101])).
% 19.50/19.65 cnf(855,plain,
% 19.50/19.65 (~P2(f5(f8(a1,a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[181,88,785,766,781,764,777,768,755,783,770,731,741,790,735,712,681,609,523,661,231,342,235,438,610,237,191,81,119,116,112,141,140,56,55,134,114,138,69,150,110,111,139,89,97,100,143,102,50,49,117,104,67,121,71,101,99])).
% 19.50/19.65 cnf(870,plain,
% 19.50/19.65 (~P11(x8701,f8(a1,a2),f5(f8(a1,a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[88,850,827,610,303,191,81,114,138,144])).
% 19.50/19.65 cnf(872,plain,
% 19.50/19.65 (~P11(x8721,f4(a2),f5(f8(a1,a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[88,850,827,845,610,303,189,191,81,114,138,144,150])).
% 19.50/19.65 cnf(874,plain,
% 19.50/19.65 (P3(f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[88,850,827,845,595,610,303,189,191,81,114,138,144,150,89])).
% 19.50/19.65 cnf(876,plain,
% 19.50/19.65 (~P6(a2,f14(f12(a2),a25))),
% 19.50/19.65 inference(scs_inference,[],[181,88,850,808,827,845,595,610,303,189,191,81,114,138,144,150,89,99])).
% 19.50/19.65 cnf(878,plain,
% 19.50/19.65 (P2(f3(f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[181,88,850,808,827,743,845,595,440,610,303,189,191,81,114,138,144,150,89,99,100])).
% 19.50/19.65 cnf(883,plain,
% 19.50/19.65 (~P9(f20(f4(a2),f12(a2),a1),a2)),
% 19.50/19.65 inference(scs_inference,[],[181,88,737,839,850,808,827,743,845,755,595,440,610,303,199,189,191,81,114,138,144,150,89,99,100,45,54,151])).
% 19.50/19.65 cnf(900,plain,
% 19.50/19.65 (~P13(x9001,a22)+P2(f14(f4(a2),x9001))),
% 19.50/19.65 inference(scs_inference,[],[795,112])).
% 19.50/19.65 cnf(901,plain,
% 19.50/19.65 (E(f4(a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[874,870,872,845,301,335,235,160])).
% 19.50/19.65 cnf(907,plain,
% 19.50/19.65 (P8(f8(a1,a2),f18(f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[874,870,872,764,845,707,719,301,335,235,160,68,63,67])).
% 19.50/19.65 cnf(911,plain,
% 19.50/19.65 (E(f8(a1,a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[874,870,872,841,764,845,707,464,719,301,335,235,160,68,63,67,108,57,2])).
% 19.50/19.65 cnf(914,plain,
% 19.50/19.65 (~P8(f13(a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[874,870,872,841,764,845,707,464,719,342,672,301,335,235,731,350,160,68,63,67,108,57,2,151,114])).
% 19.50/19.65 cnf(916,plain,
% 19.50/19.65 (~P6(f12(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[88,874,870,872,841,764,845,707,464,719,785,342,672,301,335,235,731,610,350,191,160,68,63,67,108,57,2,151,114,138])).
% 19.50/19.65 cnf(918,plain,
% 19.50/19.65 (P15(f8(a1,a2),f16(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,874,870,872,841,764,845,768,707,464,719,785,342,672,301,335,235,731,610,350,191,160,68,63,67,108,57,2,151,114,138,69])).
% 19.50/19.65 cnf(919,plain,
% 19.50/19.65 (~P8(f18(f12(a2),a1),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[88,874,870,872,841,764,845,768,707,464,719,785,342,672,301,335,235,731,610,350,191,160,68,63,67,108,57,2,151,114,138,69,110])).
% 19.50/19.65 cnf(921,plain,
% 19.50/19.65 (~P11(x9211,f8(a1,a2),f5(f4(a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[88,874,870,872,841,764,845,817,768,707,464,719,785,342,672,301,335,235,731,610,350,205,191,160,68,63,67,108,57,2,151,114,138,69,110,150])).
% 19.50/19.65 cnf(923,plain,
% 19.50/19.65 (P6(f8(a1,a2),a22)),
% 19.50/19.65 inference(scs_inference,[],[88,874,870,872,841,764,845,817,768,707,464,719,785,342,672,301,335,235,731,610,350,205,191,193,160,68,63,67,108,57,2,151,114,138,69,110,150,47])).
% 19.50/19.65 cnf(926,plain,
% 19.50/19.65 (~P9(f4(a2),f7(a1,f12(a2),f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[82,88,874,870,872,878,841,764,455,845,817,768,707,464,719,785,342,672,301,335,235,731,610,350,205,191,193,160,68,63,67,108,57,2,151,114,138,69,110,150,47,46,3,65])).
% 19.50/19.65 cnf(927,plain,
% 19.50/19.65 (P17(f8(a1,a2),f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[82,88,874,870,872,878,841,764,455,845,817,768,707,464,509,719,785,342,672,301,335,235,731,610,350,205,191,193,160,68,63,67,108,57,2,151,114,138,69,110,150,47,46,3,65,49])).
% 19.50/19.65 cnf(928,plain,
% 19.50/19.65 (~P12(f8(a1,a2),f18(f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[82,88,874,870,872,878,841,382,764,455,845,817,768,707,464,509,719,785,342,672,301,335,235,731,610,350,205,191,193,160,68,63,67,108,57,2,151,114,138,69,110,150,47,46,3,65,49,73])).
% 19.50/19.65 cnf(931,plain,
% 19.50/19.65 (~P11(f8(a1,a2),f4(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[82,88,874,870,821,872,878,841,382,764,455,845,817,768,619,707,464,509,719,785,342,672,301,335,235,731,610,350,205,191,193,160,68,63,67,108,57,2,151,114,138,69,110,150,47,46,3,65,49,73,103,53])).
% 19.50/19.65 cnf(938,plain,
% 19.50/19.65 (P17(f8(a1,a2),f7(a1,f12(a2),f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[901,239,430,95,49])).
% 19.50/19.65 cnf(939,plain,
% 19.50/19.65 (~P10(f4(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[926,901,239,430,215,95,49,135])).
% 19.50/19.65 cnf(941,plain,
% 19.50/19.65 (~P13(a1,f3(f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[926,901,331,878,743,239,430,215,95,49,135,124])).
% 19.50/19.65 cnf(943,plain,
% 19.50/19.65 (P11(f8(a1,a2),f12(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[926,901,331,878,743,239,430,215,201,95,49,135,124,53])).
% 19.50/19.65 cnf(945,plain,
% 19.50/19.65 (P8(f4(a2),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[83,926,901,331,878,743,239,430,672,303,215,201,95,49,135,124,53,2,114])).
% 19.50/19.65 cnf(947,plain,
% 19.50/19.65 (~P6(f8(a1,a2),a25)),
% 19.50/19.65 inference(scs_inference,[],[83,184,926,901,923,331,878,743,239,430,672,303,215,201,95,49,135,124,53,2,114,111])).
% 19.50/19.65 cnf(949,plain,
% 19.50/19.65 (~P17(f7(a1,f4(a2),f12(a2)),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[83,184,88,926,901,923,331,878,743,239,430,672,731,303,215,201,95,49,135,124,53,2,114,111,138])).
% 19.50/19.65 cnf(951,plain,
% 19.50/19.65 (~E(f8(a1,a2),f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[83,184,88,918,926,901,923,835,331,878,743,239,430,672,731,303,215,201,95,49,135,124,53,2,114,111,138,69])).
% 19.50/19.65 cnf(956,plain,
% 19.50/19.65 (P14(f8(a1,a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[83,184,88,916,918,926,901,923,835,331,878,743,239,430,672,731,303,207,215,201,95,49,135,124,53,2,114,111,138,69,150,47,143])).
% 19.50/19.65 cnf(958,plain,
% 19.50/19.65 (P8(f8(a1,a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[83,184,88,916,918,926,901,923,835,331,878,743,239,430,672,731,303,207,215,201,95,49,135,124,53,2,114,111,138,69,150,47,143,102])).
% 19.50/19.65 cnf(962,plain,
% 19.50/19.65 (~E(a1,f3(f13(a2)))),
% 19.50/19.65 inference(scs_inference,[],[83,187,184,88,916,918,926,901,923,835,331,878,743,239,430,672,731,303,207,215,201,95,49,135,124,53,2,114,111,138,69,150,47,143,102,127,52])).
% 19.50/19.65 cnf(963,plain,
% 19.50/19.65 (P17(f8(a1,a2),f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[83,187,184,88,916,918,926,901,923,835,331,878,743,239,430,672,731,303,207,215,201,95,49,135,124,53,2,114,111,138,69,150,47,143,102,127,52,164])).
% 19.50/19.65 cnf(965,plain,
% 19.50/19.65 (P17(f12(a2),f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[83,187,184,88,916,918,926,901,923,835,331,878,743,239,430,672,731,303,207,215,201,95,49,135,124,53,2,114,111,138,69,150,47,143,102,127,52,164,163])).
% 19.50/19.65 cnf(988,plain,
% 19.50/19.65 (~P17(x9881,f8(a1,a2))+P13(f4(a2),f14(x9882,f8(a1,a2)))+P17(x9881,f4(a2))+P6(f11(f13(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[83,187,184,182,88,916,927,918,911,926,901,733,923,835,679,331,878,743,239,721,845,430,672,438,255,731,303,237,333,207,215,201,95,49,135,124,53,2,114,111,138,69,150,47,143,102,127,52,164,163,159,161,68,56,134,108,144,48,71,110,109,51,119,50])).
% 19.50/19.65 cnf(998,plain,
% 19.50/19.65 (~P13(a22,a22)+P13(f4(a2),f14(x9981,f8(a1,a2)))+P17(f8(a1,a2),f4(a2))+P6(f11(f13(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[83,187,184,182,88,916,927,918,663,911,926,901,733,923,835,679,331,878,743,239,721,845,430,672,438,255,731,303,237,333,207,215,201,95,49,135,124,53,2,114,111,138,69,150,47,143,102,127,52,164,163,159,161,68,56,134,108,144,48,71,110,109,51,119,50,146,66,60,45,132,179,178])).
% 19.50/19.65 cnf(1003,plain,
% 19.50/19.65 (~P14(f8(a1,a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[943,931,630,911,201,65,174])).
% 19.50/19.65 cnf(1005,plain,
% 19.50/19.65 (~P12(f8(a1,a2),f13(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[943,931,630,911,199,201,65,174,175])).
% 19.50/19.65 cnf(1007,plain,
% 19.50/19.65 (~P10(f8(a1,a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[943,938,931,630,455,911,199,215,201,65,174,175,135])).
% 19.50/19.65 cnf(1009,plain,
% 19.50/19.65 (P14(f4(a2),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[943,938,945,931,630,455,257,911,199,215,201,65,174,175,135,108])).
% 19.50/19.65 cnf(1011,plain,
% 19.50/19.65 (~P11(x10111,f20(f4(a2),f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[943,938,945,931,630,747,455,257,911,199,215,201,65,174,175,135,108,144])).
% 19.50/19.65 cnf(1013,plain,
% 19.50/19.65 (~E(f4(a2),f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[943,831,938,945,931,630,747,455,257,911,199,215,201,65,174,175,135,108,144,53])).
% 19.50/19.65 cnf(1015,plain,
% 19.50/19.65 (~P17(f6(a1,f8(a1,a2)),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,943,831,938,945,931,630,941,747,455,743,257,911,199,274,215,201,65,174,175,135,108,144,53,138])).
% 19.50/19.65 cnf(1017,plain,
% 19.50/19.65 (~P6(f8(a1,a2),a23)),
% 19.50/19.65 inference(scs_inference,[],[83,88,943,831,938,945,931,630,941,747,455,743,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111])).
% 19.50/19.65 cnf(1019,plain,
% 19.50/19.65 (~P8(f12(a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[83,88,943,831,938,945,931,958,630,941,747,455,743,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110])).
% 19.50/19.65 cnf(1021,plain,
% 19.50/19.65 (~E(f5(f8(a1,a2),a2),a22)),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,945,931,958,630,941,747,455,743,845,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48])).
% 19.50/19.65 cnf(1023,plain,
% 19.50/19.65 (~P6(f8(a1,a2),a24)),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,945,931,958,630,941,626,747,462,455,743,845,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47])).
% 19.50/19.65 cnf(1024,plain,
% 19.50/19.65 (~P11(f4(a2),f4(a2),x10241)),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,945,931,958,630,941,626,747,462,455,721,743,845,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143])).
% 19.50/19.65 cnf(1032,plain,
% 19.50/19.65 (~P12(x10321,f8(a1,a2),f5(f4(a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,931,958,630,941,626,747,462,455,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154])).
% 19.50/19.65 cnf(1042,plain,
% 19.50/19.65 (P6(f7(a1,f8(a1,a2),f12(a2)),a1)),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,626,747,806,462,455,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165])).
% 19.50/19.65 cnf(1044,plain,
% 19.50/19.65 (P5(f12(a2),f17(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,626,747,806,462,455,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162])).
% 19.50/19.65 cnf(1046,plain,
% 19.50/19.65 (~P11(x10461,x10462,f14(f12(a2),a25))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,626,747,806,462,455,808,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142])).
% 19.50/19.65 cnf(1048,plain,
% 19.50/19.65 (P6(f8(a1,a2),f3(f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,462,455,808,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98])).
% 19.50/19.65 cnf(1050,plain,
% 19.50/19.65 (P1(f3(f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,462,455,808,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90])).
% 19.50/19.65 cnf(1052,plain,
% 19.50/19.65 (P15(f20(f8(a1,a2),f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,462,455,808,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90,168])).
% 19.50/19.65 cnf(1054,plain,
% 19.50/19.65 (P11(f20(f8(a1,a2),f12(a2),a1),f12(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,462,455,808,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90,168,172])).
% 19.50/19.65 cnf(1056,plain,
% 19.50/19.65 (P5(f4(a2),f15(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,307,462,455,808,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90,168,172,63])).
% 19.50/19.65 cnf(1057,plain,
% 19.50/19.65 (~P14(f18(f12(a2),a1),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,307,462,455,808,901,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90,168,172,63,57])).
% 19.50/19.65 cnf(1058,plain,
% 19.50/19.65 (P3(f20(f8(a1,a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,307,462,455,808,901,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90,168,172,63,57,139])).
% 19.50/19.65 cnf(1060,plain,
% 19.50/19.65 (~P8(f6(a1,f8(a1,a2)),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,307,521,462,455,808,901,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90,168,172,63,57,139,114])).
% 19.50/19.65 cnf(1062,plain,
% 19.50/19.65 (~P3(f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,307,521,462,455,808,901,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90,168,172,63,57,139,114,100])).
% 19.50/19.65 cnf(1064,plain,
% 19.50/19.65 (P7(f20(f8(a1,a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,307,521,462,455,808,901,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90,168,172,63,57,139,114,100,97])).
% 19.50/19.65 cnf(1066,plain,
% 19.50/19.65 (P11(f8(a1,a2),f18(f8(a1,a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[83,182,88,943,831,938,921,919,945,963,931,958,630,941,505,626,747,806,307,521,462,455,808,901,721,743,845,755,257,923,911,199,274,215,201,65,174,175,135,108,144,53,138,111,110,48,69,47,143,102,356,145,154,92,94,167,166,165,162,142,98,90,168,172,63,57,139,114,100,97,280])).
% 19.50/19.65 cnf(1085,plain,
% 19.50/19.65 (~P14(f8(a1,a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[1066,949,1044,817,597,392,923,156,155,104,64,174])).
% 19.50/19.65 cnf(1089,plain,
% 19.50/19.65 (~P11(f4(a2),f8(a1,a2),x10891)),
% 19.50/19.65 inference(scs_inference,[],[833,1066,949,1044,1024,817,597,392,257,923,911,156,155,104,64,174,59,54])).
% 19.50/19.65 cnf(1090,plain,
% 19.50/19.65 (P14(f8(a1,a2),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[833,1066,949,1044,1024,1009,817,597,392,901,257,923,911,156,155,104,64,174,59,54,56])).
% 19.50/19.65 cnf(1091,plain,
% 19.50/19.65 (~E(f8(a1,a2),f18(f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[833,1066,949,1044,1024,1009,958,477,817,597,392,901,257,923,911,156,155,104,64,174,59,54,56,67])).
% 19.50/19.65 cnf(1092,plain,
% 19.50/19.65 (~P14(x10921,f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[833,1066,949,1044,1024,1009,958,477,817,597,392,901,257,923,911,156,155,104,64,174,59,54,56,67,96])).
% 19.50/19.65 cnf(1096,plain,
% 19.50/19.65 (~P11(f7(a1,f8(a1,a2),f12(a2)),x10961,x10962)),
% 19.50/19.65 inference(scs_inference,[],[833,1062,1064,1066,949,1044,1024,1009,958,477,817,597,392,901,257,923,265,911,156,155,104,64,174,59,54,56,67,96,101,139])).
% 19.50/19.65 cnf(1101,plain,
% 19.50/19.65 (~P15(f18(f8(a1,a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[833,1062,1064,1066,1003,1019,949,1044,1024,1009,958,477,817,597,392,901,257,923,265,303,911,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144])).
% 19.50/19.65 cnf(1103,plain,
% 19.50/19.65 (~P17(f7(a1,f8(a1,a2),f12(a2)),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,833,1062,1064,1066,1003,1019,949,1044,1024,1009,1042,941,958,477,817,597,392,743,901,257,923,265,303,911,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138])).
% 19.50/19.65 cnf(1105,plain,
% 19.50/19.65 (~P11(f8(a1,a2),f4(a2),x11051)),
% 19.50/19.65 inference(scs_inference,[],[88,833,1062,1064,1066,1003,1019,949,1044,1024,1009,1042,941,958,477,817,597,392,743,901,257,923,265,303,911,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53])).
% 19.50/19.65 cnf(1106,plain,
% 19.50/19.65 (P15(f4(a2),f15(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,833,1062,1064,1066,1003,1019,949,1056,1044,1024,1009,1042,941,958,477,817,597,392,743,901,255,257,923,265,303,911,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109])).
% 19.50/19.65 cnf(1108,plain,
% 19.50/19.65 (~P6(f20(f8(a1,a2),f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[88,833,1062,1064,1058,1066,1003,1019,949,1056,1044,1024,1009,1042,941,958,477,817,597,392,743,901,255,257,923,265,303,911,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100])).
% 19.50/19.65 cnf(1111,plain,
% 19.50/19.65 (P6(f4(a2),f3(f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,833,1048,1062,1064,1058,1066,1003,1019,949,1056,1044,1024,1009,1042,941,203,958,477,817,597,392,743,901,255,257,923,265,303,911,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100,69,47])).
% 19.50/19.65 cnf(1112,plain,
% 19.50/19.65 (P8(f8(a1,a2),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,833,1048,1062,1064,1058,1066,1003,1019,949,1056,1044,1024,1009,1042,941,203,958,477,817,597,392,743,901,255,257,923,265,303,911,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100,69,47,102])).
% 19.50/19.65 cnf(1114,plain,
% 19.50/19.65 (P14(f8(a1,a2),f18(f8(a1,a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[88,833,1048,1062,1064,1058,1066,1003,1019,949,1056,1044,1024,1009,1042,941,203,958,477,817,597,392,743,901,255,257,923,265,303,911,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100,69,47,102,143])).
% 19.50/19.65 cnf(1123,plain,
% 19.50/19.65 (P17(f4(a2),f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,833,1032,1048,1062,1064,1058,1066,1003,1019,949,1056,1044,1024,1009,1042,941,965,203,958,477,817,597,392,743,901,255,257,923,265,303,911,201,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100,69,47,102,143,126,74,141,140,157])).
% 19.50/19.65 cnf(1129,plain,
% 19.50/19.65 (~P8(f8(a1,a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[181,191,88,833,1032,1048,1062,1064,1058,1066,1003,1019,949,1056,1044,1024,1009,1042,941,965,203,267,958,477,817,253,597,339,785,392,743,901,255,257,923,265,303,911,201,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100,69,47,102,143,126,74,141,140,157,153,58,108])).
% 19.50/19.65 cnf(1131,plain,
% 19.50/19.65 (~P7(f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[181,191,88,833,1032,1048,1062,1064,1058,1066,1003,1019,949,1056,1044,1024,1009,1042,941,965,203,267,958,477,817,253,597,339,785,392,743,901,255,257,923,265,303,911,201,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100,69,47,102,143,126,74,141,140,157,153,58,108,89])).
% 19.50/19.65 cnf(1135,plain,
% 19.50/19.65 (~P15(f7(a1,f8(a1,a2),f12(a2)),x11351)),
% 19.50/19.65 inference(scs_inference,[],[181,191,88,833,1032,1048,1062,1064,1058,1066,1003,1019,949,1056,1044,1024,1009,1042,941,965,203,267,958,878,477,817,253,597,339,785,392,743,901,255,257,923,265,303,911,201,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100,69,47,102,143,126,74,141,140,157,153,58,108,89,99,97])).
% 19.50/19.65 cnf(1146,plain,
% 19.50/19.65 (~P11(f8(a1,a2),f13(a2),a1)+P11(f8(a1,a2),f21(f8(a1,a2),f13(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[181,191,88,833,1032,1048,1060,1062,1064,1058,1066,939,1003,1019,949,1056,1044,1024,1005,1009,1042,963,941,965,203,267,958,878,477,817,253,597,339,785,392,743,901,255,257,923,265,303,199,911,201,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100,69,47,102,143,126,74,141,140,157,153,58,108,89,99,97,173,52,115,133,159,176])).
% 19.50/19.65 cnf(1148,plain,
% 19.50/19.65 (~P9(x11481,f4(a2))+P9(x11481,f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[181,191,88,833,1032,1048,1060,1062,1064,1058,1066,939,1003,1019,949,1056,1044,1024,1005,1009,1042,963,941,965,203,267,958,878,477,817,253,597,339,785,392,743,901,255,257,923,265,303,199,911,201,156,155,104,64,174,59,54,56,67,96,101,139,57,114,144,138,53,109,100,69,47,102,143,126,74,141,140,157,153,58,108,89,99,97,173,52,115,133,159,176,66])).
% 19.50/19.65 cnf(1153,plain,
% 19.50/19.65 (~P15(f7(a1,f8(a1,a2),f12(a2)),x11531)),
% 19.50/19.65 inference(rename_variables,[],[1135])).
% 19.50/19.65 cnf(1155,plain,
% 19.50/19.65 (P17(f4(a2),f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[180,1135,276,911,147,49])).
% 19.50/19.65 cnf(1156,plain,
% 19.50/19.65 (~E(f8(a1,a2),f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[180,1135,874,276,1062,911,147,49,58])).
% 19.50/19.65 cnf(1157,plain,
% 19.50/19.65 (P14(f4(a2),f18(f8(a1,a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[180,1135,1114,874,276,1062,911,147,49,58,56])).
% 19.50/19.65 cnf(1158,plain,
% 19.50/19.65 (~P8(f7(a1,f8(a1,a2),f12(a2)),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[180,1135,1131,1114,874,276,1062,595,911,147,49,58,56,101])).
% 19.50/19.65 cnf(1160,plain,
% 19.50/19.65 (P7(f18(f8(a1,a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[180,1135,1131,1114,874,276,1062,595,911,147,49,58,56,101,96])).
% 19.50/19.65 cnf(1164,plain,
% 19.50/19.65 (P3(f18(f8(a1,a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[180,1135,1131,1114,1106,874,276,1062,595,911,147,49,58,56,101,96,144,89])).
% 19.50/19.65 cnf(1166,plain,
% 19.50/19.65 (~P17(f7(a1,f12(a2),f13(a2)),f13(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,88,1135,1131,1114,1106,874,941,276,1062,595,743,911,215,147,49,58,56,101,96,144,89,138])).
% 19.50/19.65 cnf(1170,plain,
% 19.50/19.65 (P11(f4(a2),f18(f8(a1,a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[180,88,1135,1131,1112,1114,1106,874,941,376,276,1062,595,743,1066,911,215,147,49,58,56,101,96,144,89,138,114,53])).
% 19.50/19.65 cnf(1173,plain,
% 19.50/19.65 (P2(f3(f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[180,88,1135,1131,1112,1114,1106,1101,1048,874,941,376,276,1062,595,743,1066,911,215,147,49,58,56,101,96,144,89,138,114,53,109,100])).
% 19.50/19.65 cnf(1175,plain,
% 19.50/19.65 (~E(f4(a2),f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[180,88,1135,1153,1131,1112,1114,1106,1101,1048,874,941,376,276,1062,595,743,1066,911,215,147,49,58,56,101,96,144,89,138,114,53,109,100,69])).
% 19.50/19.65 cnf(1177,plain,
% 19.50/19.65 (~P14(a2,f20(f4(a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[180,88,1135,1153,1131,819,1112,1114,1106,1101,1048,874,941,376,276,1062,595,743,1066,911,215,147,49,58,56,101,96,144,89,138,114,53,109,100,69,102])).
% 19.50/19.65 cnf(1179,plain,
% 19.50/19.65 (~P11(x11791,f7(a1,f4(a2),f12(a2)),x11792)),
% 19.50/19.65 inference(scs_inference,[],[180,88,1092,1135,1153,1131,819,1112,1114,1106,1101,1048,874,941,376,276,1062,595,743,1066,911,215,147,49,58,56,101,96,144,89,138,114,53,109,100,69,102,143])).
% 19.50/19.65 cnf(1181,plain,
% 19.50/19.65 (~E(f12(a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[180,191,88,1092,1135,1153,1131,819,1112,1114,1106,947,1101,1048,874,941,376,276,1062,595,743,1066,911,215,147,49,58,56,101,96,144,89,138,114,53,109,100,69,102,143,47])).
% 19.50/19.65 cnf(1208,plain,
% 19.50/19.65 (~P14(f4(a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[85,1158,1160,823,1085,444,301,335,265,901,195,152,68,59,2,56])).
% 19.50/19.65 cnf(1209,plain,
% 19.50/19.65 (~P14(x12091,f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[85,1158,1160,823,1085,444,1131,301,335,265,901,195,152,68,59,2,56,96])).
% 19.50/19.65 cnf(1211,plain,
% 19.50/19.65 (~P8(f8(a1,a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[85,1158,1160,823,1085,444,1131,301,335,595,265,901,195,152,68,59,2,56,96,108])).
% 19.50/19.65 cnf(1213,plain,
% 19.50/19.65 (~P6(f12(a2),f5(f4(a2),a2))),
% 19.50/19.65 inference(scs_inference,[],[85,191,1158,1160,823,1085,636,444,1131,301,335,595,265,901,195,152,68,59,2,56,96,108,111])).
% 19.50/19.65 cnf(1215,plain,
% 19.50/19.65 (P15(f12(a2),f17(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[85,191,1158,1160,823,1085,636,444,1131,733,301,438,335,595,265,901,195,152,68,59,2,56,96,108,111,109])).
% 19.50/19.65 cnf(1217,plain,
% 19.50/19.65 (P8(f4(a2),f18(f8(a1,a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[85,191,1158,1160,823,1157,1085,636,444,1131,733,301,438,335,595,265,901,195,152,68,59,2,56,96,108,111,109,102])).
% 19.50/19.65 cnf(1219,plain,
% 19.50/19.65 (P14(f20(f8(a1,a2),f12(a2),a1),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[85,191,1158,1160,823,1157,1085,636,1054,444,1131,733,301,438,335,595,265,901,195,152,68,59,2,56,96,108,111,109,102,143])).
% 19.50/19.65 cnf(1223,plain,
% 19.50/19.65 (~P11(f8(a1,a2),f13(a2),a1)+P11(f21(f8(a1,a2),f13(a2),a1),f13(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[85,191,1158,1160,823,1157,1085,1052,636,1054,444,916,1131,733,1005,1042,462,301,438,335,595,265,901,195,152,68,59,2,56,96,108,111,109,102,143,69,47,177])).
% 19.50/19.65 cnf(1229,plain,
% 19.50/19.65 (E(f20(f8(a1,a2),f12(a2),a1),f13(a2))+~P11(f4(a2),f20(f8(a1,a2),f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[85,191,1158,1160,823,1157,1085,1052,636,1054,444,916,1131,733,1005,1042,462,301,438,335,595,265,901,195,81,152,68,59,2,56,96,108,111,109,102,143,69,47,177,110,691,148])).
% 19.50/19.65 cnf(1236,plain,
% 19.50/19.65 (P17(f4(a2),f4(a2))+~P13(a22,a22)+P17(f9(a22,a22,f4(a2),f4(a2)),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[85,193,191,1050,1158,1160,823,1157,1085,1052,636,1054,444,916,1131,733,1005,623,1042,462,301,438,335,595,265,901,195,81,152,68,59,2,56,96,108,111,109,102,143,69,47,177,110,691,148,45,173,179,178])).
% 19.50/19.65 cnf(1245,plain,
% 19.50/19.65 (P16(f8(a1,a2),f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[1015,963,1042,237,103,134])).
% 19.50/19.65 cnf(1248,plain,
% 19.50/19.65 (~P9(f4(a2),f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[1211,1015,1170,907,963,1042,237,103,134,68,151])).
% 19.50/19.65 cnf(1250,plain,
% 19.50/19.65 (~P8(f4(a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[1211,1015,1170,907,963,1042,237,901,103,134,68,151,67])).
% 19.50/19.65 cnf(1252,plain,
% 19.50/19.65 (~P14(x12521,f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(rename_variables,[],[1209])).
% 19.50/19.65 cnf(1254,plain,
% 19.50/19.65 (~P6(f13(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[88,1211,1173,1209,962,1090,1015,1170,907,963,1042,743,237,901,103,134,68,151,67,57,46,111])).
% 19.50/19.65 cnf(1256,plain,
% 19.50/19.65 (~P8(f18(f8(a1,a2),a1),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[88,1211,1173,1209,962,1090,1015,1217,1170,907,963,1042,743,237,901,103,134,68,151,67,57,46,111,114])).
% 19.50/19.65 cnf(1258,plain,
% 19.50/19.65 (~P11(x12581,f7(a1,f8(a1,a2),f12(a2)),x12582)),
% 19.50/19.65 inference(scs_inference,[],[88,1211,1173,1209,1252,962,1090,1015,1217,1170,907,963,1042,743,237,901,103,134,68,151,67,57,46,111,114,143])).
% 19.50/19.65 cnf(1266,plain,
% 19.50/19.65 (P5(f8(a1,a2),f16(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[88,1211,1173,914,1209,1252,962,1090,1015,1217,1170,907,1054,963,1042,743,237,943,901,81,103,134,68,151,67,57,46,111,114,143,102,145,148,161])).
% 19.50/19.65 cnf(1291,plain,
% 19.50/19.65 (~P12(f8(a1,a2),f4(a2),x12911)),
% 19.50/19.65 inference(scs_inference,[],[1105,154])).
% 19.50/19.65 cnf(1299,plain,
% 19.50/19.65 (P8(f8(a1,a2),f18(f8(a1,a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[193,1250,1248,1105,1217,1042,350,901,911,154,92,65,151,68,67])).
% 19.50/19.65 cnf(1301,plain,
% 19.50/19.65 (~P16(f18(f8(a1,a2),a1),a2)),
% 19.50/19.65 inference(scs_inference,[],[193,1250,1248,1105,1219,380,1217,1170,1042,350,901,911,81,154,92,65,151,68,67,56,150])).
% 19.50/19.65 cnf(1304,plain,
% 19.50/19.65 (~E(f3(f8(a1,a2)),f3(a2))),
% 19.50/19.65 inference(scs_inference,[],[193,951,1250,1248,1105,1219,380,1173,1217,398,1170,1042,350,901,911,81,154,92,65,151,68,67,56,150,2,46])).
% 19.50/19.65 cnf(1305,plain,
% 19.50/19.65 (P15(f8(a1,a2),f16(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[193,951,1266,1250,1248,1105,1219,380,1173,1217,398,1170,1042,595,350,901,911,81,154,92,65,151,68,67,56,150,2,46,109])).
% 19.50/19.65 cnf(1307,plain,
% 19.50/19.65 (P8(f20(f8(a1,a2),f12(a2),a1),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[193,951,1266,1250,1248,1105,1219,380,1173,1217,398,1170,1042,595,350,901,911,81,154,92,65,151,68,67,56,150,2,46,109,102])).
% 19.50/19.65 cnf(1310,plain,
% 19.50/19.65 (~P11(f4(a2),f20(f8(a1,a2),f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[193,951,1254,1266,1250,1248,1105,1219,380,1173,1217,398,1170,1042,595,350,901,911,81,154,92,65,151,68,67,56,150,2,46,109,102,47,1229])).
% 19.50/19.65 cnf(1317,plain,
% 19.50/19.65 (P13(a22,a22)),
% 19.50/19.65 inference(scs_inference,[],[86,193,195,951,1254,1103,1266,1250,1248,1105,1046,1219,380,1173,1217,398,1170,1042,595,350,901,911,81,154,92,65,151,68,67,56,150,2,46,109,102,47,1229,104,132,55,91])).
% 19.50/19.65 cnf(1319,plain,
% 19.50/19.65 (P5(f4(a2),f16(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[86,193,195,951,1254,1103,1266,1250,1248,1105,1046,1219,380,1173,1217,398,1170,1042,595,350,901,911,81,154,92,65,151,68,67,56,150,2,46,109,102,47,1229,104,132,55,91,63])).
% 19.50/19.65 cnf(1320,plain,
% 19.50/19.65 (P16(f4(a2),f7(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[86,193,195,951,1245,1254,1103,1266,1250,1248,1105,1046,1219,380,1173,1217,398,1170,1042,595,350,901,911,81,154,92,65,151,68,67,56,150,2,46,109,102,47,1229,104,132,55,91,63,71])).
% 19.50/19.65 cnf(1321,plain,
% 19.50/19.65 (~P8(f12(a2),f20(f8(a1,a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[86,193,195,951,1245,1254,1103,1266,1250,1248,1105,1046,1219,380,1173,1217,398,1170,1042,595,350,901,911,81,154,92,65,151,68,67,56,150,2,46,109,102,47,1229,104,132,55,91,63,71,110])).
% 19.50/19.65 cnf(1326,plain,
% 19.50/19.65 (~P15(f4(a2),a1)+P11(f4(a2),f18(f4(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[86,193,195,951,1245,1254,1103,1266,1250,1248,1105,1046,1219,380,1173,939,1217,398,1170,1042,595,350,901,911,81,154,92,65,151,68,67,56,150,2,46,109,102,47,1229,104,132,55,91,63,71,110,1236,998,3,146])).
% 19.50/19.65 cnf(1335,plain,
% 19.50/19.65 (P2(f14(f4(a2),a22))),
% 19.50/19.65 inference(scs_inference,[],[1317,900])).
% 19.50/19.65 cnf(1337,plain,
% 19.50/19.65 (P5(f4(a2),a22)),
% 19.50/19.65 inference(scs_inference,[],[1317,900,795])).
% 19.50/19.65 cnf(1347,plain,
% 19.50/19.65 (P6(f4(a2),f3(f4(a2)))),
% 19.50/19.65 inference(scs_inference,[],[1317,677,1173,348,900,795,119,141,140,142,98])).
% 19.50/19.65 cnf(1351,plain,
% 19.50/19.65 (~P11(x13511,f8(a1,a2),f16(a1,f8(a1,a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[1305,1317,677,1173,348,900,795,119,141,140,142,98,90,144])).
% 19.50/19.65 cnf(1354,plain,
% 19.50/19.65 (~E(f4(a2),f18(f8(a1,a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[189,1305,1317,1301,329,677,1111,1173,348,900,795,119,141,140,142,98,90,144,48,71])).
% 19.50/19.65 cnf(1357,plain,
% 19.50/19.65 (~P11(f8(a1,a2),f20(f8(a1,a2),f12(a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[189,1305,1310,1317,1301,329,677,1111,1173,1054,348,1042,911,900,795,119,141,140,142,98,90,144,48,71,150,53])).
% 19.50/19.65 cnf(1360,plain,
% 19.50/19.65 (P2(f3(f4(a2)))),
% 19.50/19.65 inference(scs_inference,[],[189,1305,1310,1321,1317,1301,329,677,1111,1173,1054,348,335,1042,303,911,900,795,119,141,140,142,98,90,144,48,71,150,53,114,100])).
% 19.50/19.65 cnf(1365,plain,
% 19.50/19.65 (~P14(f18(f8(a1,a2),a1),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[189,1256,1305,1310,1057,1321,1317,1301,329,677,1111,1173,1054,348,335,1042,303,911,900,795,119,141,140,142,98,90,144,48,71,150,53,114,100,143,69,102])).
% 19.50/19.65 cnf(1367,plain,
% 19.50/19.65 (~E(a2,f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[189,1256,1305,1310,1057,1213,1321,1317,1301,329,677,1111,1173,1054,348,335,1042,205,303,911,900,795,119,141,140,142,98,90,144,48,71,150,53,114,100,143,69,102,47])).
% 19.50/19.65 cnf(1368,plain,
% 19.50/19.65 (P6(f4(a2),f14(f4(a2),a22))),
% 19.50/19.65 inference(scs_inference,[],[189,1256,1305,1310,1057,1213,1321,1317,1301,329,677,1111,1173,1054,348,335,1042,205,303,911,900,795,119,141,140,142,98,90,144,48,71,150,53,114,100,143,69,102,47,116])).
% 19.50/19.65 cnf(1371,plain,
% 19.50/19.65 (P5(f8(a1,a2),a22)),
% 19.50/19.65 inference(scs_inference,[],[189,1256,1305,1310,1057,1213,1321,1317,1301,329,677,1111,1101,1173,1054,348,77,335,1042,923,205,303,911,900,795,119,141,140,142,98,90,144,48,71,150,53,114,100,143,69,102,47,116,70,124])).
% 19.50/19.65 cnf(1377,plain,
% 19.50/19.65 (~P12(f4(a2),f4(a2),x13771)),
% 19.50/19.65 inference(scs_inference,[],[1291,901,73])).
% 19.50/19.65 cnf(1378,plain,
% 19.50/19.65 (~P14(f18(f8(a1,a2),a1),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[1365,1291,901,73,57])).
% 19.50/19.65 cnf(1379,plain,
% 19.50/19.65 (~E(f3(a2),f14(f12(a2),a25))),
% 19.50/19.65 inference(scs_inference,[],[195,1365,876,1291,901,73,57,48])).
% 19.50/19.65 cnf(1380,plain,
% 19.50/19.65 (P16(f4(a2),f6(a1,f8(a1,a2)))),
% 19.50/19.65 inference(scs_inference,[],[195,1365,876,1291,333,901,911,73,57,48,71])).
% 19.50/19.65 cnf(1381,plain,
% 19.50/19.65 (~P11(x13811,f4(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[195,1365,876,1291,1320,333,1042,901,911,73,57,48,71,150])).
% 19.50/19.65 cnf(1383,plain,
% 19.50/19.65 (~P6(f18(f8(a1,a2),a1),a1)),
% 19.50/19.65 inference(scs_inference,[],[195,88,1365,1164,876,1291,1320,333,1042,901,911,73,57,48,71,150,100])).
% 19.50/19.65 cnf(1385,plain,
% 19.50/19.65 (P2(f14(f8(a1,a2),a22))),
% 19.50/19.65 inference(scs_inference,[],[195,88,1365,1164,876,1291,1371,1320,333,1042,901,911,73,57,48,71,150,100,112])).
% 19.50/19.65 cnf(1389,plain,
% 19.50/19.65 (P17(f4(a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[193,195,88,1365,1164,876,1291,1371,1320,1317,333,1042,901,911,73,57,48,71,150,100,112,179,178])).
% 19.50/19.65 cnf(1391,plain,
% 19.50/19.65 (~P9(f18(f8(a1,a2),a1),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,193,1389,1354,335,153])).
% 19.50/19.65 cnf(1397,plain,
% 19.50/19.65 (~P12(f20(f8(a1,a2),f12(a2),a1),f13(a2),a1)),
% 19.50/19.65 inference(scs_inference,[],[180,195,193,1389,1156,1354,1096,874,235,1054,335,199,153,152,175])).
% 19.50/19.65 cnf(1402,plain,
% 19.50/19.65 (P16(f8(a1,a2),f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[180,189,195,193,1389,1156,1354,409,839,927,1096,874,235,1054,335,237,199,731,153,152,175,149,134])).
% 19.50/19.65 cnf(1404,plain,
% 19.50/19.65 (P17(f4(a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[180,189,195,193,1389,1156,1354,409,839,927,1096,874,235,1054,335,237,199,731,901,153,152,175,149,134,50])).
% 19.50/19.65 cnf(1406,plain,
% 19.50/19.65 (~P6(f4(a2),f3(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,189,195,193,1389,1156,1351,1354,1304,409,839,927,1111,1096,874,235,1054,335,237,199,731,901,153,152,175,149,134,50,54,111])).
% 19.50/19.65 cnf(1410,plain,
% 19.50/19.65 (~E(a2,f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,189,195,193,1389,1156,1351,1354,1304,409,839,927,1111,1096,874,235,1054,335,237,199,731,274,901,153,152,175,149,134,50,54,111,150,47])).
% 19.50/19.65 cnf(1414,plain,
% 19.50/19.65 (P17(f8(a1,a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,189,195,193,1389,1156,1351,1354,1304,409,839,927,1111,1096,741,874,235,1054,335,237,199,731,274,901,153,152,175,149,134,50,54,111,150,47,146,49])).
% 19.50/19.65 cnf(1418,plain,
% 19.50/19.65 (~E(f8(a1,a2),f12(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,189,195,193,1389,1156,666,1351,1354,1304,825,409,839,927,1111,1096,1131,741,874,235,1054,817,438,335,237,199,731,274,901,153,152,175,149,134,50,54,111,150,47,146,49,131,59,71])).
% 19.50/19.65 cnf(1419,plain,
% 19.50/19.65 (P15(f4(a2),a22)),
% 19.50/19.65 inference(scs_inference,[],[180,189,195,193,1389,1156,666,1351,1354,1337,1304,825,409,839,927,1111,1096,1131,741,874,235,1054,817,438,335,255,237,199,731,274,901,153,152,175,149,134,50,54,111,150,47,146,49,131,59,71,109])).
% 19.50/19.65 cnf(1441,plain,
% 19.50/19.65 (P5(f4(a2),f15(a22,f4(a2)))),
% 19.50/19.65 inference(scs_inference,[],[1419,123,120])).
% 19.50/19.65 cnf(1445,plain,
% 19.50/19.65 (P10(f4(a2),a22)),
% 19.50/19.65 inference(scs_inference,[],[180,1419,1166,123,120,103,146])).
% 19.50/19.65 cnf(1446,plain,
% 19.50/19.65 (~P11(x14461,x14462,a22)),
% 19.50/19.65 inference(rename_variables,[],[180])).
% 19.50/19.65 cnf(1449,plain,
% 19.50/19.65 (~P9(f12(a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,193,1414,1391,1418,1419,1166,874,911,123,120,103,146,66,153])).
% 19.50/19.65 cnf(1450,plain,
% 19.50/19.65 (~P11(x14501,x14502,a22)),
% 19.50/19.65 inference(rename_variables,[],[180])).
% 19.50/19.65 cnf(1452,plain,
% 19.50/19.65 (P16(f4(a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,193,1414,1404,1391,1418,1419,1166,874,923,911,123,120,103,146,66,153,134])).
% 19.50/19.65 cnf(1454,plain,
% 19.50/19.65 (P17(f8(a1,a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,193,1414,1404,1391,1418,1419,1166,874,923,901,911,123,120,103,146,66,153,134,50])).
% 19.50/19.65 cnf(1455,plain,
% 19.50/19.65 (~P8(f7(a1,f4(a2),f12(a2)),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,193,1414,1404,1391,1418,1419,1166,833,874,595,923,901,911,123,120,103,146,66,153,134,50,101])).
% 19.50/19.65 cnf(1457,plain,
% 19.50/19.65 (~E(f18(f8(a1,a2),a1),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,193,1414,1404,1391,1418,1419,1166,1129,1299,833,874,595,923,901,911,123,120,103,146,66,153,134,50,101,68])).
% 19.50/19.65 cnf(1458,plain,
% 19.50/19.65 (P16(f4(a2),f7(a1,f4(a2),f12(a2)))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,193,1402,1414,1404,1391,1418,1419,1166,1129,1299,833,874,595,923,901,911,123,120,103,146,66,153,134,50,101,68,71])).
% 19.50/19.65 cnf(1461,plain,
% 19.50/19.65 (P15(f8(a1,a2),a22)),
% 19.50/19.65 inference(scs_inference,[],[180,1446,199,193,1402,1414,1404,1391,1418,1419,1166,1129,1299,833,874,595,923,1042,901,911,123,120,103,146,66,153,134,50,101,68,71,150,69])).
% 19.50/19.65 cnf(1462,plain,
% 19.50/19.65 (~P6(f8(a1,a2),f3(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,199,193,1402,1414,1404,1406,1391,1418,1419,1166,1129,1299,833,874,595,923,1042,901,911,123,120,103,146,66,153,134,50,101,68,71,150,69,47])).
% 19.50/19.65 cnf(1470,plain,
% 19.50/19.65 (P9(f4(a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,199,193,928,1402,1414,1404,1357,1406,1391,1418,1419,1166,1368,1129,1299,833,1389,874,595,923,1042,901,911,123,120,103,146,66,153,134,50,101,68,71,150,69,47,92,154,74,104,135])).
% 19.50/19.65 cnf(1472,plain,
% 19.50/19.65 (P16(f4(a2),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,199,193,928,1402,1414,1404,1357,1406,1391,1418,1419,1166,1368,1129,1299,833,1389,874,595,923,1042,901,911,123,120,103,146,66,153,134,50,101,68,71,150,69,47,92,154,74,104,135,72])).
% 19.50/19.65 cnf(1473,plain,
% 19.50/19.65 (~P14(f8(a1,a2),f20(f8(a1,a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,199,193,928,1402,1414,1404,1357,1406,1391,1418,1419,1166,1368,1129,1299,833,1389,874,1054,595,923,1042,943,901,911,123,120,103,146,66,153,134,50,101,68,71,150,69,47,92,154,74,104,135,72,174])).
% 19.50/19.65 cnf(1478,plain,
% 19.50/19.65 (P5(f8(a1,a2),f15(a22,f4(a2)))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,1450,199,193,928,1402,1414,1404,1357,1406,1391,1418,1419,1166,1368,1129,1299,823,833,1389,874,1054,595,923,1042,943,901,911,123,120,103,146,66,153,134,50,101,68,71,150,69,47,92,154,74,104,135,72,174,149,63])).
% 19.50/19.65 cnf(1479,plain,
% 19.50/19.65 (~P8(f8(a1,a2),f20(f8(a1,a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[180,1446,1450,199,193,928,1402,1414,1404,1357,1406,1391,1418,1419,1166,1368,1129,1299,823,1064,833,1389,874,1054,595,923,1042,943,901,911,123,120,103,146,66,153,134,50,101,68,71,150,69,47,92,154,74,104,135,72,174,149,63,108])).
% 19.50/19.65 cnf(1504,plain,
% 19.50/19.65 (P9(f4(a2),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[1470,1148])).
% 19.50/19.65 cnf(1505,plain,
% 19.50/19.65 (P10(f4(a2),f10(f4(a2),f4(a2)))),
% 19.50/19.65 inference(scs_inference,[],[1470,1148,122])).
% 19.50/19.65 cnf(1507,plain,
% 19.50/19.65 (P6(f4(a2),f10(f4(a2),f4(a2)))),
% 19.50/19.65 inference(scs_inference,[],[1470,1148,122,118])).
% 19.50/19.65 cnf(1511,plain,
% 19.50/19.65 (P10(f8(a1,a2),a22)),
% 19.50/19.65 inference(scs_inference,[],[1470,1445,1155,630,901,1148,122,118,135,60])).
% 19.50/19.65 cnf(1515,plain,
% 19.50/19.65 (~P17(f18(f12(a2),a1),f8(a1,a2))),
% 19.50/19.65 inference(scs_inference,[],[180,193,1470,1445,739,1155,630,481,901,911,1148,122,118,135,60,153,50])).
% 19.50/19.65 cnf(1516,plain,
% 19.50/19.65 (~P11(f4(a2),x15161,f3(f4(a2)))),
% 19.50/19.65 inference(scs_inference,[],[180,193,1470,1445,739,1347,1155,630,481,901,911,1148,122,118,135,60,153,50,151])).
% 19.50/19.65 cnf(1518,plain,
% 19.50/19.65 (~P8(f4(a2),f20(f8(a1,a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[180,193,1479,1470,1445,739,1347,1155,630,481,901,911,1148,122,118,135,60,153,50,151,67])).
% 19.50/19.65 cnf(1519,plain,
% 19.50/19.65 (~P14(f4(a2),f20(f8(a1,a2),f12(a2),a1))),
% 19.50/19.65 inference(scs_inference,[],[180,193,1473,1479,1470,1445,739,1347,1155,630,481,901,911,1148,122,118,135,60,153,50,151,67,56])).
% 19.50/19.65 cnf(1520,plain,
% 19.50/19.65 (~P8(f7(a1,f4(a2),f12(a2)),f4(a2))),
% 19.50/19.65 inference(scs_inference,[],[180,193,1455,1473,1479,1470,1445,739,1347,1155,630,481,901,911,1148,122,118,135,60,153,50,151,67,56,68])).
% 19.50/19.65 cnf(1525,plain,
% 19.50/19.65 (~P11(x15251,f8(a1,a2),f3(a2))),
% 19.50/19.65 inference(scs_inference,[],[88,180,195,193,1455,1473,1479,1360,1470,1445,739,1347,956,1307,1155,630,481,817,303,901,911,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150])).
% 19.50/19.66 cnf(1527,plain,
% 19.50/19.66 (~E(a2,f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[88,180,195,193,1455,1473,1479,1360,1462,1470,1445,739,1347,956,1307,1155,630,481,817,303,901,911,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150,47])).
% 19.50/19.66 cnf(1528,plain,
% 19.50/19.66 (P6(f8(a1,a2),f14(f8(a1,a2),a22))),
% 19.50/19.66 inference(scs_inference,[],[88,180,195,193,1455,1473,1479,1360,1462,1470,1445,739,1347,956,1307,1155,630,1371,481,817,303,901,911,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150,47,116])).
% 19.50/19.66 cnf(1534,plain,
% 19.50/19.66 (~E(f10(f4(a2),f4(a2)),a1)),
% 19.50/19.66 inference(scs_inference,[],[88,180,195,193,1455,1473,1479,1367,1360,1462,1470,1445,739,1347,956,1307,1155,630,1371,481,458,939,661,817,303,901,911,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150,47,116,119,133,61])).
% 19.50/19.66 cnf(1535,plain,
% 19.50/19.66 (E(f8(f3(a2),a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[88,180,189,195,193,1455,1473,1479,1367,1360,1462,1470,1445,739,1347,956,1307,1155,630,1371,591,481,458,939,661,593,430,817,303,901,911,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150,47,116,119,133,61,152])).
% 19.50/19.66 cnf(1540,plain,
% 19.50/19.66 (P14(f20(f8(a1,a2),f12(a2),a1),f13(a2))),
% 19.50/19.66 inference(scs_inference,[],[88,180,199,189,195,193,1455,1473,1479,1367,1360,1462,1470,1445,1011,739,1347,956,1307,1155,630,1371,591,481,458,939,661,593,430,817,257,303,901,911,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150,47,116,119,133,61,152,54,108])).
% 19.50/19.66 cnf(1542,plain,
% 19.50/19.66 (E(f4(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[88,180,199,189,195,193,1455,1473,1479,1367,1360,1462,1470,1445,1011,739,1347,956,1307,1155,630,1371,591,481,458,939,661,593,430,817,257,303,901,911,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150,47,116,119,133,61,152,54,108,2])).
% 19.50/19.66 cnf(1543,plain,
% 19.50/19.66 (P15(f8(a1,a2),f15(a22,f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[88,180,199,189,195,193,1455,1473,1479,1478,1367,1360,1462,1470,1445,1011,739,1347,956,1307,1155,630,1371,591,481,458,939,661,593,430,817,257,595,303,901,911,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150,47,116,119,133,61,152,54,108,2,109])).
% 19.50/19.66 cnf(1547,plain,
% 19.50/19.66 (E(f8(f3(a2),a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[88,180,199,189,195,193,1455,1473,1479,1478,1367,1360,1462,1470,1445,1011,739,1347,956,1307,1155,485,630,1371,591,481,458,939,661,593,430,817,257,595,303,207,901,911,81,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150,47,116,119,133,61,152,54,108,2,109,170,3])).
% 19.50/19.66 cnf(1552,plain,
% 19.50/19.66 (~P11(f4(a2),x15521,f10(f4(a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[88,180,199,189,195,193,1455,1473,1479,1478,1367,1360,1462,1470,1445,1011,739,1347,956,1307,1155,1175,485,630,1371,591,481,458,939,661,593,430,817,257,595,303,207,901,911,81,1148,122,118,135,60,153,50,151,67,56,68,57,46,114,150,47,116,119,133,61,152,54,108,2,109,170,3,155,132,145])).
% 19.50/19.66 cnf(1565,plain,
% 19.50/19.66 (~P11(x15651,x15652,f14(f8(a1,a2),a22))),
% 19.50/19.66 inference(scs_inference,[],[1547,1385,1527,3,142])).
% 19.50/19.66 cnf(1569,plain,
% 19.50/19.66 (P6(f12(a2),f3(f12(a2)))),
% 19.50/19.66 inference(scs_inference,[],[1547,1385,1527,259,3,142,90,98])).
% 19.50/19.66 cnf(1575,plain,
% 19.50/19.66 (~P14(f20(f4(a2),f12(a2),a1),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[201,1547,1385,1527,1381,1135,259,741,755,3,142,90,98,147,174])).
% 19.50/19.66 cnf(1576,plain,
% 19.50/19.66 (~P11(x15761,f4(a2),a1)),
% 19.50/19.66 inference(rename_variables,[],[1381])).
% 19.50/19.66 cnf(1578,plain,
% 19.50/19.66 (P9(f8(a1,a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1547,1385,1511,1527,1381,1135,259,1414,741,755,3,142,90,98,147,174,135])).
% 19.50/19.66 cnf(1580,plain,
% 19.50/19.66 (E(f8(a1,a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[193,195,201,1547,1525,1385,1511,1527,1381,1135,735,259,1414,741,755,874,235,3,142,90,98,147,174,135,152])).
% 19.50/19.66 cnf(1584,plain,
% 19.50/19.66 (~P17(f18(f8(a1,a2),a1),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[180,193,195,201,1547,1457,1542,1525,1385,1504,1511,1527,1472,1381,1135,735,259,1164,1414,741,755,874,235,923,3,142,90,98,147,174,135,152,72,153])).
% 19.50/19.66 cnf(1587,plain,
% 19.50/19.66 (~P6(a2,f14(f8(a1,a2),a22))),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1385,1504,1511,1527,1472,1381,1135,735,259,1164,1414,741,755,874,235,923,3,142,90,98,147,174,135,152,72,153,99])).
% 19.50/19.66 cnf(1589,plain,
% 19.50/19.66 (~P6(f8(a1,a2),a1)),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1385,1504,1511,1527,1472,1381,1135,735,259,1164,1414,741,755,874,235,923,3,142,90,98,147,174,135,152,72,153,99,151])).
% 19.50/19.66 cnf(1591,plain,
% 19.50/19.66 (P17(f8(a1,a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1385,1504,1511,1527,1472,1381,1135,735,259,1164,1414,741,755,874,235,923,3,142,90,98,147,174,135,152,72,153,99,151,50])).
% 19.50/19.66 cnf(1593,plain,
% 19.50/19.66 (~P8(f13(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1385,1504,1511,1527,1472,1381,1135,735,945,259,1164,1414,741,755,874,235,923,3,142,90,98,147,174,135,152,72,153,99,151,50,67,110])).
% 19.50/19.66 cnf(1595,plain,
% 19.50/19.66 (~P8(f20(f4(a2),f12(a2),a1),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1385,1504,1511,1527,1472,1381,1135,735,945,259,1164,1414,741,755,874,235,255,923,3,142,90,98,147,174,135,152,72,153,99,151,50,67,110,108])).
% 19.50/19.66 cnf(1599,plain,
% 19.50/19.66 (~P14(f4(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1385,1504,1511,1527,1208,1472,1381,1135,735,945,259,1164,1414,741,755,874,235,398,255,923,3,142,90,98,147,174,135,152,72,153,99,151,50,67,110,108,53,46,57])).
% 19.50/19.66 cnf(1600,plain,
% 19.50/19.66 (~E(f14(f12(a2),a25),f3(a2))),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1379,1385,1504,1511,1527,1208,1472,1381,1135,735,945,259,1164,1414,741,755,874,235,398,255,923,3,142,90,98,147,174,135,152,72,153,99,151,50,67,110,108,53,46,57,2])).
% 19.50/19.66 cnf(1601,plain,
% 19.50/19.66 (~P11(x16011,f4(a2),f10(f4(a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1379,1385,1504,1507,1511,1527,1208,1472,1381,1135,735,945,259,1164,1414,741,755,874,235,398,255,923,3,142,90,98,147,174,135,152,72,153,99,151,50,67,110,108,53,46,57,2,150])).
% 19.50/19.66 cnf(1605,plain,
% 19.50/19.66 (P8(f8(f3(a2),a2),f12(a2))),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1379,1385,1504,1507,1511,1527,1208,1472,1381,1135,735,945,259,1164,1414,741,755,874,235,398,255,923,3,142,90,98,147,174,135,152,72,153,99,151,50,67,110,108,53,46,57,2,150,143,102])).
% 19.50/19.66 cnf(1607,plain,
% 19.50/19.66 (P6(f8(f3(a2),a2),a22)),
% 19.50/19.66 inference(scs_inference,[],[180,181,193,195,201,1547,1457,1542,1525,1379,1385,1504,1507,1511,1527,1208,1472,1381,1135,735,945,259,1164,1414,741,755,874,235,398,255,923,3,142,90,98,147,174,135,152,72,153,99,151,50,67,110,108,53,46,57,2,150,143,102,47])).
% 19.50/19.66 cnf(1615,plain,
% 19.50/19.66 (P17(f4(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[180,181,199,193,195,201,1547,1457,1542,1525,1379,1385,1504,1540,1507,1511,1527,1208,1472,1381,1576,1402,1135,735,511,945,259,1164,1414,608,741,755,874,235,398,255,923,731,943,3,142,90,98,147,174,135,152,72,153,99,151,50,67,110,108,53,46,57,2,150,143,102,47,173,169,145,103])).
% 19.50/19.66 cnf(1623,plain,
% 19.50/19.66 (E(f8(f3(a2),a2),f12(a2))+~P11(f4(a2),f8(f3(a2),a2),a1)),
% 19.50/19.66 inference(scs_inference,[],[180,184,181,199,193,195,201,1547,1543,1457,1542,1525,1379,1385,1504,1540,1507,1511,1527,1208,855,1472,1381,1576,852,1402,1135,735,511,945,259,1164,1414,608,741,755,874,235,398,845,255,923,731,943,81,3,142,90,98,147,174,135,152,72,153,99,151,50,67,110,108,53,46,57,2,150,143,102,47,173,169,145,103,175,144,132,148])).
% 19.50/19.66 cnf(1644,plain,
% 19.50/19.66 (~P14(f4(a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[201,1584,1181,1011,1547,755,103,3,174])).
% 19.50/19.66 cnf(1647,plain,
% 19.50/19.66 (~E(f8(a1,a2),f18(f8(a1,a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[201,1584,1578,1181,1391,1011,1547,755,103,3,174,65])).
% 19.50/19.66 cnf(1651,plain,
% 19.50/19.66 (P17(f8(f3(a2),a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[180,193,201,1580,1584,1578,1091,1181,1454,1391,1011,1547,1414,755,874,103,3,174,65,152,49])).
% 19.50/19.66 cnf(1658,plain,
% 19.50/19.66 (~P8(f12(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[180,191,193,201,1580,1584,1578,1605,1091,1552,1181,1454,1391,1507,1011,642,1547,1414,1389,755,874,610,335,1042,901,88,103,3,174,65,152,49,153,138,50,110])).
% 19.50/19.66 cnf(1660,plain,
% 19.50/19.66 (~P8(f4(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[180,191,193,201,1580,1584,1578,1599,1605,1091,1552,1181,1454,1391,1507,1011,642,1547,468,1414,1389,755,874,610,335,1042,901,88,103,3,174,65,152,49,153,138,50,110,108])).
% 19.50/19.66 cnf(1663,plain,
% 19.50/19.66 (~P8(f20(f4(a2),f12(a2),a1),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[180,191,193,201,1580,1584,1595,1578,1599,1605,1091,1552,1181,1454,1391,1507,1011,642,1090,1547,468,1414,1389,755,874,610,335,1042,911,901,88,103,3,174,65,152,49,153,138,50,110,108,56,68])).
% 19.50/19.66 cnf(1664,plain,
% 19.50/19.66 (~P14(f20(f4(a2),f12(a2),a1),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[180,191,193,201,1580,1584,1595,1575,1578,1599,1605,1091,1552,1181,1454,1391,1507,1011,642,1090,1547,468,1414,1389,755,874,610,335,1042,911,901,88,103,3,174,65,152,49,153,138,50,110,108,56,68,57])).
% 19.50/19.66 cnf(1665,plain,
% 19.50/19.66 (~P11(f4(a2),f20(f8(a1,a2),f12(a2),a1),x16651)),
% 19.50/19.66 inference(scs_inference,[],[180,191,193,201,1580,1584,1519,1595,1575,1578,1599,1605,1091,1552,1181,1454,1391,1507,1011,642,1090,1547,468,1414,1389,755,874,610,335,1042,911,901,88,103,3,174,65,152,49,153,138,50,110,108,56,68,57,143])).
% 19.50/19.66 cnf(1667,plain,
% 19.50/19.66 (~P14(f13(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[180,191,193,201,1580,1584,1593,1519,1595,1575,1578,1599,1605,1091,1552,1181,1454,1391,1507,1011,642,1090,1547,468,1414,1389,755,874,610,335,1042,911,901,88,103,3,174,65,152,49,153,138,50,110,108,56,68,57,143,102])).
% 19.50/19.66 cnf(1669,plain,
% 19.50/19.66 (~P6(f8(f3(a2),a2),f3(a2))),
% 19.50/19.66 inference(scs_inference,[],[180,191,193,201,1580,1584,1593,1519,1595,1575,1578,1599,1605,1091,1552,1181,1535,1454,1391,1406,1507,1011,642,1090,1547,468,1414,1389,755,874,610,335,1042,911,901,88,103,3,174,65,152,49,153,138,50,110,108,56,68,57,143,102,47])).
% 19.50/19.66 cnf(1686,plain,
% 19.50/19.66 (~P11(x16861,x16862,f14(f8(a1,a2),a22))),
% 19.50/19.66 inference(rename_variables,[],[1565])).
% 19.50/19.66 cnf(1687,plain,
% 19.50/19.66 (P16(f8(a1,a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1565,1461,1414,55,134])).
% 19.50/19.66 cnf(1689,plain,
% 19.50/19.66 (P9(f8(f3(a2),a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1565,1461,1578,1580,1414,55,134,65])).
% 19.50/19.66 cnf(1690,plain,
% 19.50/19.66 (~P16(f13(a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1565,1686,1528,1461,1578,852,1580,593,1414,55,134,65,152])).
% 19.50/19.66 cnf(1694,plain,
% 19.50/19.66 (P2(f3(f12(a2)))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1589,1565,1686,1569,1528,1461,1578,852,1580,253,593,1414,55,134,65,152,48,100])).
% 19.50/19.66 cnf(1696,plain,
% 19.50/19.66 (~P14(f8(a1,a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1589,1565,1686,1569,1644,1528,1461,1578,852,1580,253,593,1414,911,55,134,65,152,48,100,56])).
% 19.50/19.66 cnf(1699,plain,
% 19.50/19.66 (~P11(f20(f4(a2),f12(a2),a1),f8(a1,a2),x16991)),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1664,1589,1565,1686,1569,1644,1660,1528,1461,1578,852,637,1580,253,945,593,1414,911,55,134,65,152,48,100,56,68,57,143])).
% 19.50/19.66 cnf(1701,plain,
% 19.50/19.66 (P15(f4(a2),f3(a2))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1664,1589,1565,1686,1569,1644,1660,1528,1461,1578,852,1535,637,1580,424,253,945,593,1414,911,55,134,65,152,48,100,56,68,57,143,69])).
% 19.50/19.66 cnf(1702,plain,
% 19.50/19.66 (~E(f7(a1,f8(a1,a2),f12(a2)),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1664,1589,1565,1686,1569,1644,1660,1528,1461,1578,852,1535,637,1580,424,253,945,593,1414,1042,911,55,134,65,152,48,100,56,68,57,143,69,47])).
% 19.50/19.66 cnf(1703,plain,
% 19.50/19.66 (P17(f4(a2),f6(f3(a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1664,1589,1565,1686,1569,1644,1660,1528,1461,1578,852,1535,637,1580,424,253,945,593,1414,398,1042,911,55,134,65,152,48,100,56,68,57,143,69,47,125])).
% 19.50/19.66 cnf(1705,plain,
% 19.50/19.66 (P6(f6(f3(a2),f4(a2)),f3(a2))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1664,1589,1565,1686,1569,1644,1660,1528,1461,1578,852,1535,637,1580,424,253,945,593,1414,398,1042,911,55,134,65,152,48,100,56,68,57,143,69,47,125,128])).
% 19.50/19.66 cnf(1707,plain,
% 19.50/19.66 (P5(f8(a1,a2),f15(a22,f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1664,1589,1565,1686,1569,1644,1660,1528,1461,1578,852,1535,637,1580,424,253,945,593,1414,398,1042,911,55,134,65,152,48,100,56,68,57,143,69,47,125,128,120])).
% 19.50/19.66 cnf(1709,plain,
% 19.50/19.66 (P13(f15(a22,f8(a1,a2)),a22)),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1664,1589,1565,1686,1569,1644,1660,1528,1461,1578,852,1535,637,1580,424,253,945,593,1414,398,1042,911,55,134,65,152,48,100,56,68,57,143,69,47,125,128,120,123])).
% 19.50/19.66 cnf(1711,plain,
% 19.50/19.66 (P6(f8(a1,a2),f5(f4(a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[199,193,1651,1664,1589,1565,1686,1569,1644,1660,1528,1452,1461,1578,852,1535,637,1580,424,253,945,593,1414,398,1042,911,55,134,65,152,48,100,56,68,57,143,69,47,125,128,120,123,117])).
% 19.50/19.66 cnf(1756,plain,
% 19.50/19.66 (P17(f8(f3(a2),a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[1689,104])).
% 19.50/19.66 cnf(1766,plain,
% 19.50/19.66 (P5(f4(a2),f15(a22,f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1707,1687,1689,1690,1703,1516,1258,1547,1414,911,104,55,115,72,149,63])).
% 19.50/19.66 cnf(1770,plain,
% 19.50/19.66 (P9(f8(f3(a2),a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1711,1707,1687,1689,1690,1703,1516,1258,386,402,1404,1504,1547,1542,1414,335,911,104,55,115,72,149,63,152,65])).
% 19.50/19.66 cnf(1771,plain,
% 19.50/19.66 (~P11(f4(a2),x17711,f5(f4(a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1711,1707,1687,1689,1690,1703,1516,1258,386,402,1404,1504,1547,1542,1414,335,911,104,55,115,72,149,63,152,65,151])).
% 19.50/19.66 cnf(1773,plain,
% 19.50/19.66 (~P11(x17731,f8(a1,a2),f10(f4(a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1711,1707,1687,1689,1690,1703,1601,1516,1258,386,402,1404,1504,1547,1542,1414,335,911,104,55,115,72,149,63,152,65,151,54])).
% 19.50/19.66 cnf(1774,plain,
% 19.50/19.66 (~P6(f12(a2),f5(f8(a1,a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1711,1707,1687,1689,1690,1703,1601,1516,1258,855,386,402,1404,1504,1547,253,1542,1414,335,911,104,55,115,72,149,63,152,65,151,54,100])).
% 19.50/19.66 cnf(1778,plain,
% 19.50/19.66 (~P14(f8(f3(a2),a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1017,1711,1707,1665,1687,1689,1690,1703,1601,1516,1258,855,1208,386,402,1404,1504,1547,1535,253,1542,1414,335,911,104,55,115,72,149,63,152,65,151,54,100,48,53,56])).
% 19.50/19.66 cnf(1779,plain,
% 19.50/19.66 (~P8(f8(a1,a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1017,1711,1707,1665,1687,1689,1690,1703,1601,1516,1258,855,1208,386,402,1129,1404,1504,1547,1535,253,1542,1414,335,911,104,55,115,72,149,63,152,65,151,54,100,48,53,56,68])).
% 19.50/19.66 cnf(1780,plain,
% 19.50/19.66 (~P14(f13(a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1017,1711,1707,1665,1667,1687,1689,1690,1703,1601,1516,1258,855,1208,386,402,1129,1404,1504,1547,1535,1580,253,1542,1414,335,911,104,55,115,72,149,63,152,65,151,54,100,48,53,56,68,57])).
% 19.50/19.66 cnf(1782,plain,
% 19.50/19.66 (P10(f8(a1,a2),f10(f8(a1,a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1383,1017,1711,1707,1665,1667,1687,1689,1690,1703,1601,1516,1258,855,1208,386,402,1129,1404,1578,1504,1547,1535,1580,253,1542,1414,335,911,81,104,55,115,72,149,63,152,65,151,54,100,48,53,56,68,57,47,122])).
% 19.50/19.66 cnf(1784,plain,
% 19.50/19.66 (P6(f4(a2),f10(f8(a1,a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1383,1017,1711,1707,1665,1667,1687,1689,1690,1703,1601,1516,1258,855,1208,386,402,1129,1404,1578,1504,1547,1535,1580,253,1542,1414,335,911,81,104,55,115,72,149,63,152,65,151,54,100,48,53,56,68,57,47,122,118])).
% 19.50/19.66 cnf(1786,plain,
% 19.50/19.66 (P9(f8(a1,a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1383,1017,1711,1707,1665,1667,1687,1689,1690,1703,1601,1516,1258,855,1208,386,402,1129,1404,1578,1504,1547,1535,1580,253,1542,1414,335,911,81,104,55,115,72,149,63,152,65,151,54,100,48,53,56,68,57,47,122,118,1148])).
% 19.50/19.66 cnf(1794,plain,
% 19.50/19.66 (~P11(x17941,f4(a2),f5(f4(a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1702,1441,1383,1017,1711,1707,1665,1667,1687,1689,1690,1703,1601,1516,1258,1007,1418,855,1208,386,402,1129,1160,1404,1578,1452,1504,965,1547,1535,1580,253,963,1542,1414,265,255,335,1042,911,81,104,55,115,72,149,63,152,65,151,54,100,48,53,56,68,57,47,122,118,1148,171,61,101,109,150])).
% 19.50/19.66 cnf(1820,plain,
% 19.50/19.66 (~P11(f8(a1,a2),x18201,f10(f8(a1,a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[1782,1694,1515,1569,597,104,124,145])).
% 19.50/19.66 cnf(1822,plain,
% 19.50/19.66 (~P9(f12(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[1449,1782,1694,1515,1569,597,1535,104,124,145,66])).
% 19.50/19.66 cnf(1823,plain,
% 19.50/19.66 (~E(a1,f3(f12(a2)))),
% 19.50/19.66 inference(scs_inference,[],[187,1449,1782,1694,1515,1569,597,1535,104,124,145,66,52])).
% 19.50/19.66 cnf(1824,plain,
% 19.50/19.66 (P16(f8(a1,a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[187,1449,1782,1694,1515,1569,1687,597,1535,1542,104,124,145,66,52,72])).
% 19.50/19.66 cnf(1825,plain,
% 19.50/19.66 (~P17(f12(a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[187,193,1449,1782,1694,1515,1569,1687,1181,597,253,1535,1542,180,104,124,145,66,52,72,152])).
% 19.50/19.66 cnf(1830,plain,
% 19.50/19.66 (~E(f8(f3(a2),a2),f12(a2))),
% 19.50/19.66 inference(scs_inference,[],[187,193,1449,1782,1694,1515,1689,1569,1687,1181,79,597,515,253,1535,1542,180,104,124,145,66,52,72,152,99,65])).
% 19.50/19.66 cnf(1833,plain,
% 19.50/19.66 (P16(f8(f3(a2),a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[187,199,193,1449,1782,1694,1515,1689,1569,1687,1181,79,597,515,253,1535,1580,1542,180,215,104,124,145,66,52,72,152,99,65,151,71])).
% 19.50/19.66 cnf(1834,plain,
% 19.50/19.66 (~P11(f8(f3(a2),a2),f8(a1,a2),x18341)),
% 19.50/19.66 inference(scs_inference,[],[187,199,193,1449,1782,1694,1515,1689,1569,1687,1181,1089,79,597,515,253,1535,1580,1542,180,215,104,124,145,66,52,72,152,99,65,151,71,53])).
% 19.50/19.66 cnf(1839,plain,
% 19.50/19.66 (~P11(x18391,x18392,f3(f12(a2)))),
% 19.50/19.66 inference(scs_inference,[],[187,199,193,1778,1449,1397,1782,1694,1023,1515,1689,1569,1687,1181,1089,79,597,515,1547,253,1535,1580,1542,180,215,901,104,124,145,66,52,72,152,99,65,151,71,53,57,47,1623,73,142])).
% 19.50/19.66 cnf(1841,plain,
% 19.50/19.66 (~P17(f12(a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[187,199,193,1778,1449,1397,1782,1771,1794,1694,1023,1515,670,1689,1569,1687,1181,1089,79,1404,597,515,1711,1547,253,1535,1580,1542,335,180,215,901,104,124,145,66,52,72,152,99,65,151,71,53,57,47,1623,73,142,160])).
% 19.50/19.66 cnf(1849,plain,
% 19.50/19.66 (~P9(a2,f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[187,199,193,1778,1449,1397,1756,1782,1771,1794,1694,1023,1515,670,1689,1569,1687,1181,625,1089,79,1404,597,515,339,1711,1547,593,253,1535,1580,1542,335,180,215,901,104,124,145,66,52,72,152,99,65,151,71,53,57,47,1623,73,142,160,103,115,153])).
% 19.50/19.66 cnf(1852,plain,
% 19.50/19.66 (~E(f7(a1,f12(a2),f13(a2)),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[187,199,193,1778,1449,1397,1756,1782,1771,1794,1694,1023,1515,670,1689,1569,1687,1181,625,1089,79,1404,217,597,515,339,1711,1547,593,253,1535,1580,1542,335,180,215,901,104,124,145,66,52,72,152,99,65,151,71,53,57,47,1623,73,142,160,103,115,153,50])).
% 19.50/19.66 cnf(1872,plain,
% 19.50/19.66 (~P16(f12(a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1830,1833,1458,1367,511,339,731,169,131])).
% 19.50/19.66 cnf(1875,plain,
% 19.50/19.66 (P16(f8(a1,a2),f7(a1,f12(a2),f13(a2)))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1830,1833,1505,1458,1367,938,511,339,237,731,215,901,169,131,60,134])).
% 19.50/19.66 cnf(1879,plain,
% 19.50/19.66 (P9(f8(a1,a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1786,1830,1833,1505,1458,1367,938,511,339,1580,237,731,215,901,169,131,60,134,145,66])).
% 19.50/19.66 cnf(1880,plain,
% 19.50/19.66 (P16(f8(a1,a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[193,201,1824,1786,1830,1833,1505,1458,1367,938,511,339,1547,1580,237,731,215,901,169,131,60,134,145,66,72])).
% 19.50/19.66 cnf(1893,plain,
% 19.50/19.66 (P15(f4(a2),f15(a22,f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[191,193,201,1824,1779,1786,1647,1534,1830,1766,1833,844,1773,1505,1458,1254,1367,1179,938,1507,511,268,339,1578,1547,785,1580,253,237,255,274,731,215,901,169,131,60,134,145,66,72,102,47,176,149,153,2,109])).
% 19.50/19.66 cnf(1909,plain,
% 19.50/19.66 (E(x19091,x19092)+~P16(x19092,x19093)+~P6(x19093,x19094)+~P16(x19091,x19093)),
% 19.50/19.66 inference(rename_variables,[],[131])).
% 19.50/19.66 cnf(1912,plain,
% 19.50/19.66 (~P16(f12(a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[1880,1852,1770,1607,1615,1565,1830,1445,1528,131,135,149])).
% 19.50/19.66 cnf(1913,plain,
% 19.50/19.66 (~P11(x19131,x19132,f14(f8(a1,a2),a22))),
% 19.50/19.66 inference(rename_variables,[],[1565])).
% 19.50/19.66 cnf(1918,plain,
% 19.50/19.66 (~P8(f8(f3(a2),a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[1880,1893,1852,1770,753,1607,1615,1565,1830,1337,1445,1528,1535,1542,131,135,149,144,63,67])).
% 19.50/19.66 cnf(1924,plain,
% 19.50/19.66 (P5(f4(a2),f15(f3(a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[1880,1872,1108,1893,1852,1701,1770,753,1607,1615,1565,1830,474,1337,1445,1528,79,1535,1542,81,131,135,149,144,63,67,72,46,47,123,120])).
% 19.50/19.66 cnf(1926,plain,
% 19.50/19.66 (P6(f8(a1,a2),f5(f8(a1,a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[1880,1872,1108,1893,1852,1701,1770,753,1607,1615,1565,1830,474,1337,1445,1528,79,1535,1542,81,131,135,149,144,63,67,72,46,47,123,120,117])).
% 19.50/19.66 cnf(1930,plain,
% 19.50/19.66 (~P12(f8(f3(a2),a2),f8(a1,a2),x19301)),
% 19.50/19.66 inference(scs_inference,[],[1880,1834,1872,1108,1784,1893,1852,1701,1770,753,1607,1615,1565,1830,474,1337,1445,1528,79,1535,1542,81,131,135,149,144,63,67,72,46,47,123,120,117,92,154])).
% 19.50/19.66 cnf(1949,plain,
% 19.50/19.66 (~P17(f13(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[184,205,1879,1880,1834,1872,1108,1784,1893,1709,1852,1701,1699,1770,1319,753,1215,1607,1615,1565,1913,1830,474,1337,777,432,1454,1445,1528,79,426,965,440,874,1535,1542,785,180,81,131,135,149,144,63,67,72,46,47,123,120,117,92,154,121,160,111,70,1909,64,51,49,52,134,153])).
% 19.50/19.66 cnf(1962,plain,
% 19.50/19.66 (~P12(f8(a1,a2),f8(a1,a2),x19621)),
% 19.50/19.66 inference(scs_inference,[],[1930,1926,1841,1454,1580,157,73])).
% 19.50/19.66 cnf(1963,plain,
% 19.50/19.66 (~P17(f7(a1,f12(a2),f13(a2)),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[1930,1926,1841,1454,217,1580,157,73,115])).
% 19.50/19.66 cnf(1965,plain,
% 19.50/19.66 (~P6(f4(a2),f5(f8(a1,a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[193,1930,1926,1841,1021,1454,217,1580,157,73,115,111])).
% 19.50/19.66 cnf(1968,plain,
% 19.50/19.66 (~E(f14(f4(a2),a22),f3(a2))),
% 19.50/19.66 inference(scs_inference,[],[193,1930,1926,1841,1335,1021,1833,1454,217,1580,398,901,157,73,115,111,72,46])).
% 19.50/19.66 cnf(1971,plain,
% 19.50/19.66 (P10(f8(a1,a2),f10(f8(a1,a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[193,1930,1926,1918,1841,1335,1021,1017,1833,1786,1454,217,1580,1547,398,911,901,157,73,115,111,72,46,68,47,122])).
% 19.50/19.66 cnf(1973,plain,
% 19.50/19.66 (P6(f8(a1,a2),f10(f8(a1,a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[193,1930,1926,1918,1841,1335,1021,1017,1833,1786,1454,217,1580,1547,398,911,901,157,73,115,111,72,46,68,47,122,118])).
% 19.50/19.66 cnf(2039,plain,
% 19.50/19.66 (~P11(f8(a1,a2),x20391,f10(f8(a1,a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[207,1971,315,55,145])).
% 19.50/19.66 cnf(2042,plain,
% 19.50/19.66 (~P17(f13(a2),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[207,1971,1949,315,1591,1511,1580,55,145,60,115])).
% 19.50/19.66 cnf(2044,plain,
% 19.50/19.66 (~E(f10(f8(a1,a2),f8(a1,a2)),a1)),
% 19.50/19.66 inference(scs_inference,[],[207,1971,1949,315,1591,1007,1511,1580,55,145,60,115,61])).
% 19.50/19.66 cnf(2045,plain,
% 19.50/19.66 (~P11(x20451,f20(f12(a2),f13(a2),a1),a1)),
% 19.50/19.66 inference(scs_inference,[],[209,207,1971,1949,315,1591,1007,1511,1580,55,145,60,115,61,144])).
% 19.50/19.66 cnf(2047,plain,
% 19.50/19.66 (~P11(f8(a1,a2),f8(f3(a2),a2),x20471)),
% 19.50/19.66 inference(scs_inference,[],[209,207,1971,1949,315,1591,1105,1007,1511,1580,1535,55,145,60,115,61,144,54])).
% 19.50/19.66 cnf(2049,plain,
% 19.50/19.66 (~P11(f13(a2),f8(a1,a2),x20491)),
% 19.50/19.66 inference(scs_inference,[],[209,207,1971,1780,1949,1518,315,1591,1105,1007,1511,945,1580,1535,55,145,60,115,61,144,54,68,143])).
% 19.50/19.66 cnf(2051,plain,
% 19.50/19.66 (~P14(f12(a2),f8(f3(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[209,207,1971,1658,1780,1949,1518,315,1591,1105,1007,1511,945,1580,1535,55,145,60,115,61,144,54,68,143,102])).
% 19.50/19.66 cnf(2053,plain,
% 19.50/19.66 (~E(f6(a1,f8(a1,a2)),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[209,207,1971,1658,1780,1949,1518,315,1591,384,1105,1007,1511,945,1580,1535,274,55,145,60,115,61,144,54,68,143,102,47])).
% 19.50/19.66 cnf(2057,plain,
% 19.50/19.66 (~P11(x20571,x20572,f3(f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[209,207,1971,1658,1780,1949,1820,1518,315,1591,1360,384,1105,1007,956,1511,945,1580,1535,274,55,145,60,115,61,144,54,68,143,102,47,173,142])).
% 19.50/19.66 cnf(2059,plain,
% 19.50/19.66 (~P9(f7(a1,f12(a2),f13(a2)),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[209,207,1971,1963,1658,1780,1949,1820,1518,315,1591,1360,384,1105,1007,956,1511,945,1580,1535,274,55,145,60,115,61,144,54,68,143,102,47,173,142,104])).
% 19.50/19.66 cnf(2061,plain,
% 19.50/19.66 (~P8(f8(a1,a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[209,207,1971,1963,1658,1780,1949,1820,1518,315,1591,1696,1360,384,1105,1007,956,1511,853,945,1580,1535,274,55,145,60,115,61,144,54,68,143,102,47,173,142,104,108])).
% 19.50/19.66 cnf(2086,plain,
% 19.50/19.66 (E(f8(a1,a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[2059,2061,1663,958,783,1148,133])).
% 19.50/19.66 cnf(2090,plain,
% 19.50/19.66 (~P17(f7(a1,f4(a2),f12(a2)),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[2059,2039,2061,1825,1663,511,958,783,1066,1148,133,55,115])).
% 19.50/19.66 cnf(2094,plain,
% 19.50/19.66 (~E(a25,f5(f8(a1,a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[191,2059,2039,1973,2061,1774,1825,1663,511,958,783,1066,874,1148,133,55,115,100,48])).
% 19.50/19.66 cnf(2095,plain,
% 19.50/19.66 (~P11(f8(a1,a2),f8(a1,a2),x20951)),
% 19.50/19.66 inference(scs_inference,[],[191,2059,2047,2039,1973,2061,1774,1825,1663,511,958,783,1066,874,1580,1148,133,55,115,100,48,54])).
% 19.50/19.66 cnf(2096,plain,
% 19.50/19.66 (E(f20(f4(a2),f12(a2),a1),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[191,2059,2047,2039,1973,2061,1774,1825,1663,511,958,783,1066,874,1580,1148,133,55,115,100,48,54,2])).
% 19.50/19.66 cnf(2099,plain,
% 19.50/19.66 (~P17(f13(a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[191,2059,2047,2039,1973,2061,2042,1774,1177,1825,1663,483,511,958,783,1066,874,1580,1148,133,55,115,100,48,54,2,57,64,50])).
% 19.50/19.66 cnf(2100,plain,
% 19.50/19.66 (P15(f4(a2),f15(f3(a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[191,2059,2047,2039,1973,2061,2042,1774,1924,1177,1825,1663,483,511,958,783,1066,874,1580,255,1148,133,55,115,100,48,54,2,57,64,50,109])).
% 19.50/19.66 cnf(2102,plain,
% 19.50/19.66 (~P11(x21021,f4(a2),f10(f8(a1,a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[191,2059,2047,2039,1973,2061,2042,1774,1924,1177,1825,1663,483,1452,511,958,783,1066,874,1580,255,1148,133,55,115,100,48,54,2,57,64,50,109,150])).
% 19.50/19.66 cnf(2104,plain,
% 19.50/19.66 (P6(f4(a2),f10(f8(a1,a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[191,2059,2047,2039,1973,2061,2042,1774,1924,1177,1825,1663,483,1452,511,958,783,1066,874,1580,255,911,1148,133,55,115,100,48,54,2,57,64,50,109,150,47])).
% 19.50/19.66 cnf(2108,plain,
% 19.50/19.66 (~P17(x21081,f20(f4(a2),f12(a2),a1))+~P6(f20(f4(a2),f12(a2),a1),x21082)+~P11(f13(a2),x21081,x21082)),
% 19.50/19.66 inference(scs_inference,[],[191,2059,2047,2039,1973,2061,2042,1774,1924,1177,1825,1663,483,1770,1830,505,855,1452,511,958,783,1066,874,1580,255,911,1148,133,55,115,100,48,54,2,57,64,50,109,150,47,62,132,157])).
% 19.50/19.66 cnf(2126,plain,
% 19.50/19.66 (E(f4(a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[2086,901,3])).
% 19.50/19.66 cnf(2128,plain,
% 19.50/19.66 (~P11(x21281,x21282,f3(f4(a2)))),
% 19.50/19.66 inference(rename_variables,[],[2057])).
% 19.50/19.66 cnf(2130,plain,
% 19.50/19.66 (P16(f4(a2),f6(f3(a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[2086,2057,1703,1347,1705,852,1701,1689,901,3,149,134])).
% 19.50/19.66 cnf(2132,plain,
% 19.50/19.66 (~P6(f20(f4(a2),f12(a2),a1),f3(a2))),
% 19.50/19.66 inference(scs_inference,[],[2086,2057,1703,1347,1705,852,1701,777,1689,398,901,3,149,134,100])).
% 19.50/19.66 cnf(2136,plain,
% 19.50/19.66 (P17(f8(a1,a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[2086,1669,2057,1703,1347,1705,852,1701,777,1689,1454,1880,1607,398,901,3,149,134,100,72,48,50])).
% 19.50/19.66 cnf(2141,plain,
% 19.50/19.66 (~P8(f4(a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[207,2096,2086,1823,1669,2057,2045,1703,1250,1347,1705,852,1701,777,1689,1454,1090,1880,1607,398,901,3,149,134,100,72,48,50,54,56,2,68])).
% 19.50/19.66 cnf(2142,plain,
% 19.50/19.66 (~P11(f12(a2),f8(f3(a2),a2),x21421)),
% 19.50/19.66 inference(scs_inference,[],[207,2096,2086,1823,1669,2057,2051,2045,1703,1250,1347,1705,852,1701,777,1689,1454,1090,1880,1607,398,901,3,149,134,100,72,48,50,54,56,2,68,143])).
% 19.50/19.66 cnf(2144,plain,
% 19.50/19.66 (P8(f20(f4(a2),f12(a2),a1),f13(a2))),
% 19.50/19.66 inference(scs_inference,[],[207,2096,2086,1823,1669,2057,2051,2045,1703,1250,1347,1705,852,1701,777,1689,1454,1090,1880,1607,398,901,3,149,134,100,72,48,50,54,56,2,68,143,102])).
% 19.50/19.66 cnf(2146,plain,
% 19.50/19.66 (P6(f4(a2),f5(f4(a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[207,2096,2086,1823,1669,2057,2051,2045,1703,1250,1347,1705,852,1701,777,1472,1689,1454,1090,1880,1607,398,901,3,149,134,100,72,48,50,54,56,2,68,143,102,117])).
% 19.50/19.66 cnf(2160,plain,
% 19.50/19.66 (P9(f20(f4(a2),f12(a2),a1),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[207,2096,1962,2086,1823,1669,2057,2128,2051,2104,2045,1849,1703,1250,1347,1705,852,1701,777,1472,808,1689,1786,1454,1090,806,1880,1607,597,1535,398,901,3,149,134,100,72,48,50,54,56,2,68,143,102,117,92,173,154,121,73,124,66,65])).
% 19.50/19.66 cnf(2161,plain,
% 19.50/19.66 (~P14(f12(a2),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[207,2096,1962,2086,1823,1669,2057,2128,2051,2104,2045,1849,1703,1250,1347,1705,852,1701,777,1472,808,1689,1786,1454,1090,806,1880,1607,597,1542,1535,398,901,3,149,134,100,72,48,50,54,56,2,68,143,102,117,92,173,154,121,73,124,66,65,57])).
% 19.50/19.66 cnf(2198,plain,
% 19.50/19.66 (P17(f4(a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[2136,2090,2053,911,104,3,49])).
% 19.50/19.66 cnf(2199,plain,
% 19.50/19.66 (E(f20(f4(a2),f12(a2),a1),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[2136,2090,2144,2141,2053,1595,945,911,104,3,49,133])).
% 19.50/19.66 cnf(2206,plain,
% 19.50/19.66 (P9(f20(f4(a2),f12(a2),a1),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[2136,2160,2090,2144,2141,2102,2053,2104,1248,1123,1595,1013,1445,1470,945,911,104,3,49,133,135,149,66])).
% 19.50/19.66 cnf(2207,plain,
% 19.50/19.66 (~P9(f4(a2),a2)),
% 19.50/19.66 inference(scs_inference,[],[2136,2160,2090,2144,2126,2141,2102,2053,883,2104,1248,1123,1595,1013,1445,1470,945,911,104,3,49,133,135,149,66,65])).
% 19.50/19.66 cnf(2208,plain,
% 19.50/19.66 (P2(f5(f8(a1,a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[2136,2160,2090,2144,2126,2141,2102,2053,883,2104,1248,1123,1926,1595,1013,1445,1470,945,874,911,104,3,49,133,135,149,66,65,100])).
% 19.50/19.66 cnf(2212,plain,
% 19.50/19.66 (~P11(f12(a2),f4(a2),x22121)),
% 19.50/19.66 inference(scs_inference,[],[2136,2160,2090,2144,2126,2141,2102,2142,2053,2099,883,1912,2104,1248,1123,1926,1595,1013,1445,2096,1470,945,1542,874,911,104,3,49,133,135,149,66,65,100,72,50,54])).
% 19.50/19.66 cnf(2218,plain,
% 19.50/19.66 (P10(f4(a2),f10(f4(a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[195,2136,2160,2090,2144,2126,2141,2102,2142,1520,2053,2099,2132,883,1912,2104,1248,1123,1926,1595,1013,1445,2096,1504,1470,945,1542,874,911,104,3,49,133,135,149,66,65,100,72,50,54,102,47,2108,122])).
% 19.50/19.66 cnf(2220,plain,
% 19.50/19.66 (P6(f8(a1,a2),f10(f4(a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[195,2136,2160,2090,2144,2126,2141,2102,2142,1520,2053,2099,2132,883,1912,2104,1248,1123,1926,1595,1013,1445,2096,1504,1470,945,1542,874,911,104,3,49,133,135,149,66,65,100,72,50,54,102,47,2108,122,118])).
% 19.50/19.66 cnf(2253,plain,
% 19.50/19.66 (~P17(f4(a2),f12(a2))),
% 19.50/19.66 inference(scs_inference,[],[2206,2212,1839,670,1569,253,785,335,104,160])).
% 19.50/19.66 cnf(2254,plain,
% 19.50/19.66 (~P11(f12(a2),f4(a2),x22541)),
% 19.50/19.66 inference(rename_variables,[],[2212])).
% 19.50/19.66 cnf(2257,plain,
% 19.50/19.66 (~P17(f6(f3(a2),f4(a2)),f12(a2))),
% 19.50/19.66 inference(scs_inference,[],[2206,2212,1839,670,1569,1703,253,785,335,104,160,115])).
% 19.50/19.66 cnf(2259,plain,
% 19.50/19.66 (P17(f20(f4(a2),f12(a2),a1),a2)),
% 19.50/19.66 inference(scs_inference,[],[2206,2212,1839,670,1569,1703,2126,301,253,785,335,104,160,115,49])).
% 19.50/19.66 cnf(2262,plain,
% 19.50/19.66 (~P10(f4(a2),f5(f4(a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[205,2207,2206,2212,1839,670,1569,1703,80,2126,781,301,253,785,335,104,160,115,49,99,135])).
% 19.50/19.66 cnf(2265,plain,
% 19.50/19.66 (P2(f10(f4(a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[205,2207,2220,2206,2218,2212,1839,670,1569,1703,80,2126,939,781,301,253,785,874,335,104,160,115,49,99,135,61,100])).
% 19.50/19.66 cnf(2269,plain,
% 19.50/19.66 (~P11(x22691,x22692,f5(f8(a1,a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[205,195,2208,2207,2220,2206,1587,2218,2212,947,1839,670,1569,1703,80,2126,939,781,2096,301,253,785,874,335,104,160,115,49,99,135,61,100,48,47,142])).
% 19.50/19.66 cnf(2276,plain,
% 19.50/19.66 (~P11(f8(a1,a2),x22761,f10(f4(a2),f8(a1,a2)))),
% 19.50/19.66 inference(scs_inference,[],[205,195,2208,2207,2044,2220,2206,1587,2218,2212,947,2099,1839,670,1569,1703,80,2126,939,1786,781,2096,301,253,785,874,335,901,104,160,115,49,99,135,61,100,48,47,142,103,131,60,151])).
% 19.50/19.66 cnf(2292,plain,
% 19.50/19.66 (~P6(f20(f4(a2),f12(a2),a1),x22921)+~P6(f4(a2),f5(f4(a2),a2))+~P16(f10(f8(a1,a2),f8(a1,a2)),a2)+P13(f5(f4(a2),a2),x22921)),
% 19.50/19.66 inference(scs_inference,[],[189,205,191,195,2208,2207,2044,2220,2198,2206,1587,2218,2212,2254,2090,947,2099,1839,670,835,1155,1569,1703,80,2126,474,608,939,1701,1786,781,741,2096,301,253,785,874,335,901,104,160,115,49,99,135,61,100,48,47,142,103,131,60,151,71,50,988,146,169,147,3,138])).
% 19.50/19.66 cnf(2297,plain,
% 19.50/19.66 (~P11(f4(a2),f12(a2),a25)),
% 19.50/19.66 inference(scs_inference,[],[191,2253,785,157])).
% 19.50/19.66 cnf(2301,plain,
% 19.50/19.66 (P16(f20(f4(a2),f12(a2),a1),a2)),
% 19.50/19.66 inference(scs_inference,[],[191,2253,2259,747,785,81,157,104,134])).
% 19.50/19.66 cnf(2305,plain,
% 19.50/19.66 (~P17(f20(f4(a2),f12(a2),a1),f12(a2))),
% 19.50/19.66 inference(scs_inference,[],[191,2253,2259,2199,1963,747,1404,785,81,157,104,134,115,49])).
% 19.50/19.66 cnf(2306,plain,
% 19.50/19.66 (~P6(f12(a2),f3(a2))),
% 19.50/19.66 inference(scs_inference,[],[191,2253,1600,2259,2199,1963,747,1404,806,785,81,157,104,134,115,49,111])).
% 19.50/19.66 cnf(2309,plain,
% 19.50/19.66 (~P6(f13(a2),f5(f8(a1,a2),a2))),
% 19.50/19.66 inference(scs_inference,[],[191,2253,1600,2259,2199,1963,747,1404,855,806,440,785,81,157,104,134,115,49,111,65,100])).
% 19.50/19.66 cnf(2312,plain,
% 19.50/19.66 (P16(f20(f4(a2),f12(a2),a1),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[191,2253,1600,2259,2199,1963,747,1404,79,855,1687,806,2086,440,785,81,157,104,134,115,49,111,65,100,46,71])).
% 19.50/19.66 cnf(2315,plain,
% 19.50/19.66 (P15(f4(a2),a1)),
% 19.50/19.66 inference(scs_inference,[],[191,193,2253,1600,1965,1968,2259,2199,1963,747,1404,79,855,1687,806,2086,440,785,81,157,104,134,115,49,111,65,100,46,71,2,48,69])).
% 19.50/19.66 cnf(2316,plain,
% 19.50/19.66 (P6(f20(f4(a2),f12(a2),a1),a22)),
% 19.50/19.66 inference(scs_inference,[],[191,193,2253,1600,1965,1968,2259,2199,1963,747,1404,79,855,2126,1687,806,2086,440,785,81,157,104,134,115,49,111,65,100,46,71,2,48,69,47])).
% 19.50/19.66 cnf(2319,plain,
% 19.50/19.66 (~P11(x23191,f4(a2),f15(f3(a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[191,193,2253,1600,1965,1968,2259,2100,2199,1963,747,637,1404,79,855,2126,1687,806,2086,440,785,81,157,104,134,115,49,111,65,100,46,71,2,48,69,47,173,144])).
% 19.50/19.66 cnf(2321,plain,
% 19.50/19.66 (P11(f4(a2),f18(f4(a2),a1),a1)),
% 19.50/19.66 inference(scs_inference,[],[191,193,2253,1600,1965,1968,2259,2100,2199,1963,747,637,1404,79,855,2126,1687,806,2086,440,785,81,157,104,134,115,49,111,65,100,46,71,2,48,69,47,173,144,1326])).
% 19.50/19.66 cnf(2324,plain,
% 19.50/19.66 (P17(f4(a2),f6(a1,f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[191,193,2253,1600,1965,1968,2259,2100,2199,1963,747,637,1404,79,855,2126,1687,806,2086,440,785,81,88,157,104,134,115,49,111,65,100,46,71,2,48,69,47,173,144,1326,2292,125])).
% 19.50/19.66 cnf(2326,plain,
% 19.50/19.66 (P6(f6(a1,f4(a2)),a1)),
% 19.50/19.66 inference(scs_inference,[],[191,193,2253,1600,1965,1968,2259,2100,2199,1963,747,637,1404,79,855,2126,1687,806,2086,440,785,81,88,157,104,134,115,49,111,65,100,46,71,2,48,69,47,173,144,1326,2292,125,128])).
% 19.50/19.66 cnf(2359,plain,
% 19.50/19.66 (P17(f20(f4(a2),f12(a2),a1),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[191,193,2321,2305,2326,2160,785,189,155,93,157,104])).
% 19.50/19.66 cnf(2363,plain,
% 19.50/19.66 (~P16(f4(a2),f12(a2))),
% 19.50/19.66 inference(scs_inference,[],[191,193,2321,2305,2326,2297,2276,2160,670,253,1066,785,189,155,93,157,104,55,152])).
% 19.50/19.66 cnf(2368,plain,
% 19.50/19.66 (P5(f20(f4(a2),f12(a2),a1),a22)),
% 19.50/19.66 inference(scs_inference,[],[191,193,2321,2305,2326,2297,2276,2269,2160,1651,625,670,1337,1926,593,2126,253,1066,785,189,155,93,157,104,55,152,153,63])).
% 19.50/19.66 cnf(2376,plain,
% 19.50/19.66 (~P17(f7(a1,f8(a1,a2),f12(a2)),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[191,199,193,2321,2305,2094,2326,2297,2276,1410,2130,2269,2160,1651,1841,625,670,1337,1926,1705,965,339,593,2126,845,253,1066,785,189,155,93,157,104,55,152,153,63,151,149,111,115])).
% 19.50/19.66 cnf(2378,plain,
% 19.50/19.66 (~P15(f18(f4(a2),a1),a1)),
% 19.50/19.66 inference(scs_inference,[],[191,199,193,2321,2305,2094,2326,2297,2276,1410,2130,2269,2160,1651,1841,625,670,1337,1926,1705,965,339,593,2126,845,253,1066,785,189,155,93,157,104,55,152,153,63,151,149,111,115,144])).
% 19.50/19.66 cnf(2380,plain,
% 19.50/19.66 (P17(f8(a1,a2),f6(a1,f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[191,199,193,2321,2305,2324,2094,2326,2297,2276,1410,2130,2269,2160,1651,1841,625,670,1337,1926,1705,965,339,593,2126,845,253,1066,785,189,901,155,93,157,104,55,152,153,63,151,149,111,115,144,49])).
% 19.50/19.66 cnf(2386,plain,
% 19.50/19.66 (~P16(f20(f4(a2),f12(a2),a1),f12(a2))),
% 19.50/19.66 inference(scs_inference,[],[191,215,199,193,201,2321,2265,2305,2319,2312,2324,2094,2326,2297,2276,1410,2130,2269,2160,1651,1841,625,670,1337,1926,1705,2199,965,339,593,2126,845,253,1066,785,398,189,911,901,155,93,157,104,55,152,153,63,151,149,111,115,144,49,72,150,54,46,71])).
% 19.50/19.66 cnf(2391,plain,
% 19.50/19.66 (P8(f4(a2),f18(f4(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[191,215,199,193,201,2321,2265,2305,2319,2312,2324,2094,2326,2297,2276,1410,2130,323,2269,2160,1651,1841,625,670,1337,1926,1705,2199,965,339,593,2126,845,253,1066,785,398,189,911,901,155,93,157,104,55,152,153,63,151,149,111,115,144,49,72,150,54,46,71,143,57,102])).
% 19.50/19.66 cnf(2400,plain,
% 19.50/19.66 (P15(f8(a1,a2),f5(f8(a1,a2),f4(a2)))),
% 19.50/19.66 inference(scs_inference,[],[191,215,199,193,201,2321,2265,2306,2305,2319,2312,2324,2094,2326,2297,2276,1410,2146,2130,323,2269,2160,1651,1841,625,670,1337,1926,1705,2199,965,1687,339,593,2126,845,253,1066,785,398,189,911,901,155,93,157,104,55,152,153,63,151,149,111,115,144,49,72,150,54,46,71,143,57,102,47,117,92,154,121])).
% 19.50/19.66 cnf(2406,plain,
% 19.50/19.66 (~P8(f18(f4(a2),a1),f4(a2))),
% 19.50/19.66 inference(scs_inference,[],[191,203,215,199,193,201,2321,2265,2306,2305,2319,2312,2324,2094,2326,2297,2276,1410,2146,2130,323,2269,2160,2212,1651,1841,625,670,1337,1123,1926,1705,2199,965,1687,339,593,2126,845,253,1066,785,335,398,189,911,901,155,93,157,104,55,152,153,63,151,149,111,115,144,49,72,150,54,46,71,143,57,102,47,117,92,154,121,70,160,110])).
% 19.50/19.66 cnf(2435,plain,
% 19.50/19.66 (~P17(f6(a1,f4(a2)),f12(a2))),
% 19.50/19.66 inference(scs_inference,[],[191,2376,2257,2324,1046,2253,321,785,157,147,104,115])).
% 19.50/19.66 cnf(2444,plain,
% 19.50/19.66 (~P8(f18(f4(a2),a1),f8(a1,a2))),
% 19.50/19.66 inference(scs_inference,[],[191,195,2376,2363,2400,2257,2406,2301,1380,2324,1046,1825,2253,321,2199,785,911,157,147,104,115,144,49,72,150,50,68])).
% 19.50/19.66 cnf(2448,plain,
% 19.50/19.66 (~E(f4(a2),f18(f4(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[191,195,2376,2363,2386,2400,2257,2406,2378,2315,2301,1378,1380,2324,1046,1825,2253,321,2199,2086,785,911,157,147,104,115,144,49,72,150,50,68,143,71,69])).
% 19.50/19.66 cnf(2449,plain,
% 19.50/19.66 (~P14(f12(a2),f20(f4(a2),f12(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[191,195,2376,2363,2386,2400,2257,2406,2378,2315,2301,2161,1378,1380,2324,1046,1825,2253,321,2199,2086,785,911,157,147,104,115,144,49,72,150,50,68,143,71,69,57])).
% 19.50/19.66 cnf(2458,plain,
% 19.50/19.66 (P8(f8(a1,a2),f18(f4(a2),a1))),
% 19.50/19.66 inference(scs_inference,[],[191,195,2376,2380,2363,2386,2400,2257,2309,2391,2406,2378,2315,2301,2161,1378,1380,2324,1046,2049,2326,1825,2253,2321,628,321,2199,2086,845,874,785,81,911,901,157,147,104,115,144,49,72,150,50,68,143,71,69,57,102,47,148,152,67])).
% 19.50/19.66 cnf(2508,plain,
% 19.50/19.66 (P11(f8(a1,a2),f13(a2),a1)),
% 19.50/19.66 inference(scs_inference,[],[215,195,2449,2448,2435,2316,1875,2376,2265,2198,2315,2220,1511,239,426,1452,1404,1445,623,321,339,219,2086,440,785,911,147,134,60,135,115,49,150,2,57,47,122,142,103,178,152])).
% 19.50/19.66 cnf(2511,plain,
% 19.50/19.66 (P11(f20(f4(a2),f12(a2),a1),f13(a2),a1)),
% 19.50/19.66 inference(scs_inference,[],[215,195,2449,2448,2435,1822,2316,1875,2376,2265,2198,2315,2220,1511,239,426,1452,1404,1445,623,321,339,219,2086,440,1580,785,911,147,134,60,135,115,49,150,2,57,47,122,142,103,178,152,66,53])).
% 19.50/19.66 cnf(2515,plain,
% 19.50/19.66 (P11(f21(f8(a1,a2),f13(a2),a1),f13(a2),a1)),
% 19.50/19.66 inference(scs_inference,[],[215,195,2444,2458,2449,2448,2435,1822,2316,1875,2376,2265,2198,2315,2220,1211,1511,239,426,1452,1404,1445,623,321,339,219,2086,440,1580,785,911,147,134,60,135,115,49,150,2,57,47,122,142,103,178,152,66,53,68,102,1223])).
% 19.50/19.66 cnf(2516,plain,
% 19.50/19.66 (P11(f8(a1,a2),f21(f8(a1,a2),f13(a2),a1),a1)),
% 19.50/19.66 inference(scs_inference,[],[215,195,2444,2458,2449,2448,2435,1822,2316,1875,2376,2265,2198,2315,2220,1211,1511,239,426,1452,1404,1445,623,321,339,219,2086,440,1580,785,911,147,134,60,135,115,49,150,2,57,47,122,142,103,178,152,66,53,68,102,1223,1146])).
% 19.50/19.66 cnf(2517,plain,
% 19.50/19.66 (P17(f8(a1,a2),f7(a1,f8(a1,a2),f13(a2)))),
% 19.50/19.66 inference(scs_inference,[],[215,195,2444,2458,2449,2448,2435,1822,2316,1875,2376,2265,2198,2315,2220,1211,1511,239,426,1452,1404,1445,623,321,339,219,2086,440,1580,785,911,147,134,60,135,115,49,150,2,57,47,122,142,103,178,152,66,53,68,102,1223,1146,164])).
% 19.50/19.66 cnf(2568,plain,
% 19.50/19.66 ($false),
% 19.50/19.66 inference(scs_inference,[],[2508,2517,2516,2262,2515,2511,2359,2095,1377,1462,2305,2380,2368,2136,2301,2316,2326,1511,853,1705,2199,237,911,163,155,156,139,73,145,134,135,60,144,115,109,49,54,143,102,47,282]),
% 19.50/19.66 ['proof']).
% 19.50/19.66 % SZS output end Proof
% 19.50/19.66 % Total time :18.920000s
%------------------------------------------------------------------------------