TSTP Solution File: PRO017+4 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PRO017+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:05:53 EDT 2023
% Result : Theorem 7.80s 7.89s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO017+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n017.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 18:54:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 7.80/7.87 %-------------------------------------------
% 7.80/7.87 % File :CSE---1.6
% 7.80/7.87 % Problem :theBenchmark
% 7.80/7.87 % Transform :cnf
% 7.80/7.87 % Format :tptp:raw
% 7.80/7.87 % Command :java -jar mcs_scs.jar %d %s
% 7.80/7.87
% 7.80/7.87 % Result :Theorem 7.230000s
% 7.80/7.87 % Output :CNFRefutation 7.230000s
% 7.80/7.87 %-------------------------------------------
% 7.80/7.88 %------------------------------------------------------------------------------
% 7.80/7.88 % File : PRO017+4 : TPTP v8.1.2. Released v4.0.0.
% 7.80/7.88 % Domain : Processes
% 7.80/7.88 % Problem : PSL cliff problem coe-7.3.1
% 7.80/7.88 % Version : Especial : Augmented > Especial.
% 7.80/7.88 % English :
% 7.80/7.88 % Refs : [Hal09] Halcomb (2009), Email to G. Sutcliffe
% 7.80/7.88 % Source : [Hal09]
% 7.80/7.88 % Names : unique-cat-p9x__coe-7.3.1-pd [Hal09]
% 7.80/7.88
% 7.80/7.88 % Status : Theorem
% 7.80/7.88 % Rating : 0.36 v7.5.0, 0.41 v7.4.0, 0.33 v7.3.0, 0.38 v7.2.0, 0.34 v7.1.0, 0.39 v7.0.0, 0.37 v6.4.0, 0.35 v6.3.0, 0.46 v6.2.0, 0.52 v6.1.0, 0.73 v6.0.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.68 v5.3.0, 0.70 v5.2.0, 0.60 v5.1.0, 0.57 v5.0.0, 0.62 v4.1.0, 0.57 v4.0.1, 0.52 v4.0.0
% 7.80/7.88 % Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% 7.80/7.88 % Number of atoms : 152 ( 14 equ)
% 7.80/7.88 % Maximal formula atoms : 14 ( 3 avg)
% 7.80/7.88 % Number of connectives : 126 ( 20 ~; 6 |; 64 &)
% 7.80/7.88 % ( 7 <=>; 29 =>; 0 <=; 0 <~>)
% 7.80/7.88 % Maximal formula depth : 16 ( 6 avg)
% 7.80/7.88 % Maximal term depth : 1 ( 1 avg)
% 7.80/7.88 % Number of predicates : 18 ( 17 usr; 0 prp; 1-3 aty)
% 7.80/7.88 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 7.80/7.88 % Number of variables : 111 ( 92 !; 19 ?)
% 7.80/7.88 % SPC : FOF_THM_RFO_SEQ
% 7.80/7.88
% 7.80/7.88 % Comments :
% 7.80/7.88 %------------------------------------------------------------------------------
% 7.80/7.88 fof(sos,axiom,
% 7.80/7.88 ! [X0,X1] :
% 7.80/7.88 ( ( occurrence_of(X1,X0)
% 7.80/7.88 & ~ atomic(X0) )
% 7.80/7.88 => ? [X2] :
% 7.80/7.88 ( root(X2,X0)
% 7.80/7.88 & subactivity_occurrence(X2,X1) ) ) ).
% 7.80/7.88
% 7.80/7.88 fof(sos_01,axiom,
% 7.80/7.88 ! [X3,X4,X5,X6,X7] :
% 7.80/7.88 ( ( occurrence_of(X4,X3)
% 7.80/7.88 & root_occ(X6,X4)
% 7.80/7.88 & leaf_occ(X7,X4)
% 7.80/7.88 & subactivity_occurrence(X5,X4)
% 7.80/7.88 & min_precedes(X6,X5,X3)
% 7.80/7.88 & X5 != X7 )
% 7.80/7.88 => min_precedes(X5,X7,X3) ) ).
% 7.80/7.88
% 7.80/7.88 fof(sos_02,axiom,
% 7.80/7.88 ! [X8,X9,X10,X11] :
% 7.80/7.88 ( ( occurrence_of(X9,X8)
% 7.80/7.88 & subactivity_occurrence(X10,X9)
% 7.80/7.88 & leaf_occ(X11,X9)
% 7.80/7.88 & arboreal(X10)
% 7.80/7.88 & ~ min_precedes(X10,X11,X8) )
% 7.80/7.88 => X11 = X10 ) ).
% 7.80/7.88
% 7.80/7.88 fof(sos_03,axiom,
% 7.80/7.88 ! [X12,X13] :
% 7.80/7.88 ( occurrence_of(X13,X12)
% 7.80/7.88 => ( activity(X12)
% 7.80/7.88 & activity_occurrence(X13) ) ) ).
% 7.80/7.88
% 7.80/7.88 fof(sos_04,axiom,
% 7.80/7.88 ! [X14,X15,X16,X17] :
% 7.80/7.88 ( ( occurrence_of(X15,X14)
% 7.80/7.88 & arboreal(X16)
% 7.80/7.88 & arboreal(X17)
% 7.80/7.88 & subactivity_occurrence(X16,X15)
% 7.80/7.88 & subactivity_occurrence(X17,X15) )
% 7.80/7.88 => ( min_precedes(X16,X17,X14)
% 7.80/7.88 | min_precedes(X17,X16,X14)
% 7.80/7.88 | X16 = X17 ) ) ).
% 7.80/7.88
% 7.80/7.88 fof(sos_05,axiom,
% 7.80/7.88 ! [X18,X19] :
% 7.80/7.88 ( root(X19,X18)
% 7.80/7.88 => ? [X20] :
% 7.80/7.88 ( subactivity(X20,X18)
% 7.80/7.88 & atocc(X19,X20) ) ) ).
% 7.80/7.88
% 7.80/7.88 fof(sos_06,axiom,
% 7.80/7.88 ! [X21,X22,X23] :
% 7.80/7.88 ( min_precedes(X22,X23,X21)
% 7.80/7.88 => ? [X24] :
% 7.80/7.88 ( occurrence_of(X24,X21)
% 7.80/7.88 & subactivity_occurrence(X22,X24)
% 7.80/7.88 & subactivity_occurrence(X23,X24) ) ) ).
% 7.80/7.88
% 7.80/7.88 fof(sos_07,axiom,
% 7.80/7.88 ! [X25,X26] :
% 7.80/7.88 ( ( leaf(X25,X26)
% 7.80/7.88 & ~ atomic(X26) )
% 7.80/7.88 => ? [X27] :
% 7.80/7.88 ( occurrence_of(X27,X26)
% 7.80/7.88 & leaf_occ(X25,X27) ) ) ).
% 7.80/7.88
% 7.80/7.88 fof(sos_08,axiom,
% 7.80/7.88 ! [X28,X29,X30] :
% 7.80/7.88 ( ( occurrence_of(X28,X29)
% 7.80/7.88 & occurrence_of(X28,X30) )
% 7.80/7.88 => X29 = X30 ) ).
% 7.80/7.88
% 7.80/7.88 fof(sos_09,axiom,
% 7.80/7.88 ! [X31,X32,X33] :
% 7.80/7.88 ( ( occurrence_of(X31,X33)
% 7.80/7.89 & leaf_occ(X32,X31) )
% 7.80/7.89 => ~ ? [X34] : min_precedes(X32,X34,X33) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_10,axiom,
% 7.80/7.89 ! [X35,X36,X37] :
% 7.80/7.89 ( ( occurrence_of(X35,X37)
% 7.80/7.89 & root_occ(X36,X35) )
% 7.80/7.89 => ~ ? [X38] : min_precedes(X38,X36,X37) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_11,axiom,
% 7.80/7.89 ! [X39,X40] :
% 7.80/7.89 ( subactivity_occurrence(X39,X40)
% 7.80/7.89 => ( activity_occurrence(X39)
% 7.80/7.89 & activity_occurrence(X40) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_12,axiom,
% 7.80/7.89 ! [X41] :
% 7.80/7.89 ( activity_occurrence(X41)
% 7.80/7.89 => ? [X42] :
% 7.80/7.89 ( activity(X42)
% 7.80/7.89 & occurrence_of(X41,X42) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_13,axiom,
% 7.80/7.89 ! [X43] :
% 7.80/7.89 ( legal(X43)
% 7.80/7.89 => arboreal(X43) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_14,axiom,
% 7.80/7.89 ! [X44,X45] :
% 7.80/7.89 ( atocc(X44,X45)
% 7.80/7.89 <=> ? [X46] :
% 7.80/7.89 ( subactivity(X45,X46)
% 7.80/7.89 & atomic(X46)
% 7.80/7.89 & occurrence_of(X44,X46) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_15,axiom,
% 7.80/7.89 ! [X47,X48] :
% 7.80/7.89 ( leaf(X47,X48)
% 7.80/7.89 <=> ( ( root(X47,X48)
% 7.80/7.89 | ? [X49] : min_precedes(X49,X47,X48) )
% 7.80/7.89 & ~ ? [X50] : min_precedes(X47,X50,X48) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_16,axiom,
% 7.80/7.89 ! [X51,X52] :
% 7.80/7.89 ( occurrence_of(X51,X52)
% 7.80/7.89 => ( arboreal(X51)
% 7.80/7.89 <=> atomic(X52) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_17,axiom,
% 7.80/7.89 ! [X53,X54] :
% 7.80/7.89 ( root(X53,X54)
% 7.80/7.89 => legal(X53) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_18,axiom,
% 7.80/7.89 ! [X55,X56] :
% 7.80/7.89 ( leaf_occ(X55,X56)
% 7.80/7.89 <=> ? [X57] :
% 7.80/7.89 ( occurrence_of(X56,X57)
% 7.80/7.89 & subactivity_occurrence(X55,X56)
% 7.80/7.89 & leaf(X55,X57) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_19,axiom,
% 7.80/7.89 ! [X58,X59] :
% 7.80/7.89 ( root_occ(X58,X59)
% 7.80/7.89 <=> ? [X60] :
% 7.80/7.89 ( occurrence_of(X59,X60)
% 7.80/7.89 & subactivity_occurrence(X58,X59)
% 7.80/7.89 & root(X58,X60) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_20,axiom,
% 7.80/7.89 ! [X61,X62] :
% 7.80/7.89 ( earlier(X61,X62)
% 7.80/7.89 => ~ earlier(X62,X61) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_21,axiom,
% 7.80/7.89 ! [X63,X64] :
% 7.80/7.89 ( precedes(X63,X64)
% 7.80/7.89 <=> ( earlier(X63,X64)
% 7.80/7.89 & legal(X64) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_22,axiom,
% 7.80/7.89 ! [X65,X66,X67] :
% 7.80/7.89 ( min_precedes(X65,X66,X67)
% 7.80/7.89 => ~ root(X66,X67) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_23,axiom,
% 7.80/7.89 ! [X68,X69,X70] :
% 7.80/7.89 ( min_precedes(X68,X69,X70)
% 7.80/7.89 => ? [X71] :
% 7.80/7.89 ( root(X71,X70)
% 7.80/7.89 & min_precedes(X71,X69,X70) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_24,axiom,
% 7.80/7.89 ! [X72,X73,X74] :
% 7.80/7.89 ( min_precedes(X72,X73,X74)
% 7.80/7.89 => precedes(X72,X73) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_25,axiom,
% 7.80/7.89 ! [X75,X76,X77] :
% 7.80/7.89 ( next_subocc(X75,X76,X77)
% 7.80/7.89 => ( arboreal(X75)
% 7.80/7.89 & arboreal(X76) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_26,axiom,
% 7.80/7.89 ! [X78,X79,X80] :
% 7.80/7.89 ( next_subocc(X78,X79,X80)
% 7.80/7.89 <=> ( min_precedes(X78,X79,X80)
% 7.80/7.89 & ~ ? [X81] :
% 7.80/7.89 ( min_precedes(X78,X81,X80)
% 7.80/7.89 & min_precedes(X81,X79,X80) ) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_27,axiom,
% 7.80/7.89 ! [X82,X83,X84,X85] :
% 7.80/7.89 ( ( min_precedes(X82,X83,X84)
% 7.80/7.89 & occurrence_of(X85,X84)
% 7.80/7.89 & subactivity_occurrence(X83,X85) )
% 7.80/7.89 => subactivity_occurrence(X82,X85) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_28,axiom,
% 7.80/7.89 ! [X86,X87,X88,X89] :
% 7.80/7.89 ( ( occurrence_of(X88,X89)
% 7.80/7.89 & ~ atomic(X89)
% 7.80/7.89 & leaf_occ(X86,X88)
% 7.80/7.89 & leaf_occ(X87,X88) )
% 7.80/7.89 => X86 = X87 ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_29,axiom,
% 7.80/7.89 ! [X90,X91,X92,X93] :
% 7.80/7.89 ( ( occurrence_of(X92,X93)
% 7.80/7.89 & root_occ(X90,X92)
% 7.80/7.89 & root_occ(X91,X92) )
% 7.80/7.89 => X90 = X91 ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_30,axiom,
% 7.80/7.89 ! [X94,X95,X96] :
% 7.80/7.89 ( ( earlier(X94,X95)
% 7.80/7.89 & earlier(X95,X96) )
% 7.80/7.89 => earlier(X94,X96) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_31,axiom,
% 7.80/7.89 ! [X97,X98,X99,X100] :
% 7.80/7.89 ( ( min_precedes(X97,X98,X100)
% 7.80/7.89 & min_precedes(X97,X99,X100)
% 7.80/7.89 & precedes(X98,X99) )
% 7.80/7.89 => min_precedes(X98,X99,X100) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_32,axiom,
% 7.80/7.89 ! [X101,X102] :
% 7.80/7.89 ( ( occurrence_of(X102,tptp0)
% 7.80/7.89 & subactivity_occurrence(X101,X102)
% 7.80/7.89 & arboreal(X101)
% 7.80/7.89 & ~ leaf_occ(X101,X102) )
% 7.80/7.89 => ? [X103,X104,X105] :
% 7.80/7.89 ( occurrence_of(X103,tptp3)
% 7.80/7.89 & next_subocc(X101,X103,tptp0)
% 7.80/7.89 & occurrence_of(X104,tptp4)
% 7.80/7.89 & min_precedes(X103,X104,tptp0)
% 7.80/7.89 & ( occurrence_of(X105,tptp2)
% 7.80/7.89 | occurrence_of(X105,tptp1) )
% 7.80/7.89 & min_precedes(X104,X105,tptp0)
% 7.80/7.89 & ! [X106] :
% 7.80/7.89 ( min_precedes(X103,X106,tptp0)
% 7.80/7.89 => ( X106 = X104
% 7.80/7.89 | X106 = X105 ) ) ) ) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_33,axiom,
% 7.80/7.89 activity(tptp0) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_34,axiom,
% 7.80/7.89 ~ atomic(tptp0) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_35,axiom,
% 7.80/7.89 atomic(tptp4) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_36,axiom,
% 7.80/7.89 atomic(tptp2) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_37,axiom,
% 7.80/7.89 atomic(tptp1) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_38,axiom,
% 7.80/7.89 atomic(tptp3) ).
% 7.80/7.89
% 7.80/7.89 fof(sos_39,axiom,
% 7.80/7.89 tptp4 != tptp3 ).
% 7.80/7.89
% 7.80/7.89 fof(sos_40,axiom,
% 7.80/7.89 tptp4 != tptp2 ).
% 7.80/7.89
% 7.80/7.89 fof(sos_41,axiom,
% 7.80/7.89 tptp4 != tptp1 ).
% 7.80/7.89
% 7.80/7.89 fof(sos_42,axiom,
% 7.80/7.89 tptp3 != tptp2 ).
% 7.80/7.89
% 7.80/7.89 fof(sos_43,axiom,
% 7.80/7.89 tptp3 != tptp1 ).
% 7.80/7.89
% 7.80/7.89 fof(sos_44,axiom,
% 7.80/7.89 tptp2 != tptp1 ).
% 7.80/7.89
% 7.80/7.89 fof(goals,conjecture,
% 7.80/7.89 ! [X107,X108] :
% 7.80/7.89 ( ( occurrence_of(X108,tptp0)
% 7.80/7.89 & subactivity_occurrence(X107,X108)
% 7.80/7.89 & arboreal(X107)
% 7.80/7.89 & ~ leaf_occ(X107,X108) )
% 7.80/7.89 => ? [X109,X110] :
% 7.80/7.89 ( occurrence_of(X109,tptp3)
% 7.80/7.89 & next_subocc(X107,X109,tptp0)
% 7.80/7.89 & ( occurrence_of(X110,tptp2)
% 7.80/7.89 | occurrence_of(X110,tptp1) )
% 7.80/7.89 & min_precedes(X109,X110,tptp0)
% 7.80/7.89 & leaf(X110,tptp0) ) ) ).
% 7.80/7.89
% 7.80/7.89 %------------------------------------------------------------------------------
% 7.80/7.89 %-------------------------------------------
% 7.80/7.89 % Proof found
% 7.80/7.89 % SZS status Theorem for theBenchmark
% 7.80/7.89 % SZS output start Proof
% 7.80/7.89 %ClaNum:148(EqnAxiom:63)
% 7.80/7.89 %VarNum:443(SingletonVarNum:176)
% 7.80/7.89 %MaxLitNum:8
% 7.80/7.89 %MaxfuncDepth:1
% 7.80/7.89 %SharedTerms:23
% 7.80/7.89 %goalClause: 68 70 71 79 141 142
% 7.80/7.89 %singleGoalClaCount:4
% 7.80/7.89 [64]P1(a1)
% 7.80/7.89 [65]P1(a22)
% 7.80/7.89 [66]P1(a2)
% 7.80/7.89 [67]P1(a3)
% 7.80/7.89 [68]P2(a4)
% 7.80/7.89 [69]P3(a11)
% 7.80/7.89 [70]P6(a12,a11)
% 7.80/7.89 [71]P13(a4,a12)
% 7.80/7.89 [72]~E(a1,a22)
% 7.80/7.89 [73]~E(a1,a2)
% 7.80/7.89 [74]~E(a2,a22)
% 7.80/7.89 [75]~E(a1,a3)
% 7.80/7.89 [76]~E(a3,a22)
% 7.80/7.89 [77]~E(a3,a2)
% 7.80/7.89 [78]~P1(a11)
% 7.80/7.89 [79]~P7(a4,a12)
% 7.80/7.89 [80]~P10(x801)+P2(x801)
% 7.80/7.89 [81]~P4(x811)+P3(f13(x811))
% 7.80/7.89 [88]~P4(x881)+P6(x881,f13(x881))
% 7.80/7.89 [82]P3(x821)+~P6(x822,x821)
% 7.80/7.89 [83]P4(x831)+~P6(x831,x832)
% 7.80/7.89 [84]P4(x841)+~P13(x842,x841)
% 7.80/7.89 [85]P4(x851)+~P13(x851,x852)
% 7.80/7.89 [86]P10(x861)+~P14(x861,x862)
% 7.80/7.89 [87]P10(x871)+~P15(x872,x871)
% 7.80/7.89 [91]~P16(x911,x912)+P13(x911,x912)
% 7.80/7.89 [92]~P7(x921,x922)+P13(x921,x922)
% 7.80/7.89 [93]~P15(x931,x932)+P8(x931,x932)
% 7.80/7.89 [95]~P8(x952,x951)+~P8(x951,x952)
% 7.80/7.89 [97]~P5(x971,x972)+P1(f18(x971,x972))
% 7.80/7.89 [99]~P5(x991,x992)+P6(x991,f18(x991,x992))
% 7.80/7.89 [100]~P7(x1002,x1001)+P6(x1001,f19(x1002,x1001))
% 7.80/7.89 [101]~P16(x1012,x1011)+P6(x1011,f5(x1012,x1011))
% 7.80/7.89 [102]~P16(x1021,x1022)+P14(x1021,f5(x1021,x1022))
% 7.80/7.89 [103]~P5(x1032,x1031)+P17(x1031,f18(x1032,x1031))
% 7.80/7.89 [104]~P14(x1041,x1042)+P5(x1041,f14(x1042,x1041))
% 7.80/7.89 [105]~P7(x1051,x1052)+P9(x1051,f19(x1051,x1052))
% 7.80/7.89 [106]~P14(x1062,x1061)+P17(f14(x1061,x1062),x1061)
% 7.80/7.89 [118]P2(x1181)+~P11(x1182,x1181,x1183)
% 7.80/7.89 [119]P2(x1191)+~P11(x1191,x1192,x1193)
% 7.80/7.89 [120]P15(x1201,x1202)+~P12(x1201,x1202,x1203)
% 7.80/7.89 [122]~P14(x1221,x1222)+~P12(x1223,x1221,x1222)
% 7.80/7.89 [123]~P9(x1231,x1232)+~P12(x1231,x1233,x1232)
% 7.80/7.89 [132]~P11(x1321,x1322,x1323)+P12(x1321,x1322,x1323)
% 7.80/7.89 [137]~P12(x1373,x1371,x1372)+P13(x1371,f17(x1372,x1373,x1371))
% 7.80/7.89 [138]~P12(x1381,x1383,x1382)+P13(x1381,f17(x1382,x1381,x1383))
% 7.80/7.89 [139]~P12(x1392,x1393,x1391)+P6(f17(x1391,x1392,x1393),x1391)
% 7.80/7.90 [140]~P12(x1401,x1402,x1403)+P14(f7(x1401,x1402,x1403),x1403)
% 7.80/7.90 [144]~P12(x1441,x1442,x1443)+P12(f7(x1441,x1442,x1443),x1442,x1443)
% 7.80/7.90 [89]~P6(x892,x891)+P1(x891)+~P2(x892)
% 7.80/7.90 [90]~P6(x901,x902)+P2(x901)+~P1(x902)
% 7.80/7.90 [94]~P10(x942)+~P8(x941,x942)+P15(x941,x942)
% 7.80/7.90 [108]~P9(x1082,x1081)+P1(x1081)+P7(x1082,f16(x1082,x1081))
% 7.80/7.90 [109]~P9(x1092,x1091)+P1(x1091)+P6(f16(x1092,x1091),x1091)
% 7.80/7.90 [110]~P6(x1102,x1101)+P1(x1101)+P14(f15(x1101,x1102),x1101)
% 7.80/7.90 [111]~P6(x1112,x1111)+P1(x1111)+P13(f15(x1111,x1112),x1112)
% 7.80/7.90 [124]~P14(x1241,x1242)+P9(x1241,x1242)+P12(x1241,f20(x1241,x1242),x1242)
% 7.80/7.90 [125]~P9(x1251,x1252)+P14(x1251,x1252)+P12(f21(x1251,x1252),x1251,x1252)
% 7.80/7.90 [96]~P6(x963,x961)+E(x961,x962)+~P6(x963,x962)
% 7.80/7.90 [98]~P8(x981,x983)+P8(x981,x982)+~P8(x983,x982)
% 7.80/7.90 [135]P9(x1351,x1352)+~P12(x1353,x1351,x1352)+P12(x1351,f20(x1351,x1352),x1352)
% 7.80/7.90 [147]~P12(x1471,x1472,x1473)+P11(x1471,x1472,x1473)+P12(x1471,f8(x1471,x1472,x1473),x1473)
% 7.80/7.90 [148]~P12(x1481,x1482,x1483)+P11(x1481,x1482,x1483)+P12(f8(x1481,x1482,x1483),x1482,x1483)
% 7.80/7.90 [129]~P6(x1291,x1292)+~P12(x1294,x1293,x1292)+~P16(x1293,x1291)
% 7.80/7.90 [130]~P6(x1301,x1302)+~P12(x1303,x1304,x1302)+~P7(x1303,x1301)
% 7.80/7.90 [146]~P11(x1464,x1462,x1463)+~P12(x1461,x1462,x1463)+~P12(x1464,x1461,x1463)
% 7.80/7.90 [107]~P6(x1071,x1073)+~P17(x1072,x1073)+P5(x1071,x1072)+~P1(x1073)
% 7.80/7.90 [114]~P14(x1141,x1143)+~P13(x1141,x1142)+P16(x1141,x1142)+~P6(x1142,x1143)
% 7.80/7.90 [115]~P13(x1151,x1152)+~P9(x1151,x1153)+P7(x1151,x1152)+~P6(x1152,x1153)
% 7.80/7.90 [112]~P16(x1122,x1123)+~P16(x1121,x1123)+E(x1121,x1122)+~P6(x1123,x1124)
% 7.80/7.90 [133]~P12(x1331,x1334,x1333)+P13(x1331,x1332)+~P6(x1332,x1333)+~P13(x1334,x1332)
% 7.80/7.90 [145]~P15(x1451,x1452)+~P12(x1454,x1451,x1453)+P12(x1451,x1452,x1453)+~P12(x1454,x1452,x1453)
% 7.80/7.90 [141]~P12(x1411,x1412,a11)+~P9(x1412,a11)+~P6(x1411,a1)+~P6(x1412,a2)+~P11(a4,x1411,a11)
% 7.80/7.90 [142]~P12(x1421,x1422,a11)+~P9(x1422,a11)+~P6(x1421,a1)+~P6(x1422,a3)+~P11(a4,x1421,a11)
% 7.80/7.90 [116]~P2(x1161)+~P13(x1161,x1162)+P7(x1161,x1162)+~P6(x1162,a11)+P6(f6(x1161),a1)
% 7.80/7.90 [117]~P2(x1171)+~P13(x1171,x1172)+P7(x1171,x1172)+~P6(x1172,a11)+P6(f9(x1171),a22)
% 7.80/7.90 [126]~P2(x1261)+~P13(x1261,x1262)+P7(x1261,x1262)+~P6(x1262,a11)+P11(x1261,f6(x1261),a11)
% 7.80/7.90 [127]~P2(x1271)+~P13(x1271,x1272)+P7(x1271,x1272)+~P6(x1272,a11)+P12(f6(x1271),f9(x1271),a11)
% 7.80/7.90 [128]~P2(x1281)+~P13(x1281,x1282)+P7(x1281,x1282)+~P6(x1282,a11)+P12(f9(x1281),f10(x1281),a11)
% 7.80/7.90 [113]~P7(x1132,x1134)+~P7(x1131,x1134)+E(x1131,x1132)+~P6(x1134,x1133)+P1(x1133)
% 7.80/7.90 [121]~P2(x1211)+~P13(x1211,x1212)+P7(x1211,x1212)+~P6(x1212,a11)+P6(f10(x1211),a2)+P6(f10(x1211),a3)
% 7.80/7.90 [131]~P2(x1311)+~P13(x1311,x1314)+~P7(x1312,x1314)+E(x1311,x1312)+P12(x1311,x1312,x1313)+~P6(x1314,x1313)
% 7.80/7.90 [134]~P2(x1342)+~P13(x1342,x1343)+P7(x1342,x1343)+E(x1341,f10(x1342))+~P6(x1343,a11)+E(x1341,f9(x1342))+~P12(f6(x1342),x1341,a11)
% 7.80/7.90 [143]~P13(x1432,x1434)+~P7(x1431,x1434)+~P12(x1435,x1432,x1433)+E(x1431,x1432)+P12(x1432,x1431,x1433)+~P6(x1434,x1433)+~P16(x1435,x1434)
% 7.80/7.90 [136]P12(x1361,x1362,x1363)+~P2(x1362)+~P2(x1361)+~P13(x1362,x1364)+~P13(x1361,x1364)+E(x1361,x1362)+P12(x1362,x1361,x1363)+~P6(x1364,x1363)
% 7.80/7.90 %EqnAxiom
% 7.80/7.90 [1]E(x11,x11)
% 7.80/7.90 [2]E(x22,x21)+~E(x21,x22)
% 7.80/7.90 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 7.80/7.90 [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 7.80/7.90 [5]~E(x51,x52)+E(f8(x51,x53,x54),f8(x52,x53,x54))
% 7.80/7.90 [6]~E(x61,x62)+E(f8(x63,x61,x64),f8(x63,x62,x64))
% 7.80/7.90 [7]~E(x71,x72)+E(f8(x73,x74,x71),f8(x73,x74,x72))
% 7.80/7.90 [8]~E(x81,x82)+E(f18(x81,x83),f18(x82,x83))
% 7.80/7.90 [9]~E(x91,x92)+E(f18(x93,x91),f18(x93,x92))
% 7.80/7.90 [10]~E(x101,x102)+E(f7(x101,x103,x104),f7(x102,x103,x104))
% 7.80/7.90 [11]~E(x111,x112)+E(f7(x113,x111,x114),f7(x113,x112,x114))
% 7.80/7.90 [12]~E(x121,x122)+E(f7(x123,x124,x121),f7(x123,x124,x122))
% 7.80/7.90 [13]~E(x131,x132)+E(f19(x131,x133),f19(x132,x133))
% 7.80/7.90 [14]~E(x141,x142)+E(f19(x143,x141),f19(x143,x142))
% 7.80/7.90 [15]~E(x151,x152)+E(f5(x151,x153),f5(x152,x153))
% 7.80/7.90 [16]~E(x161,x162)+E(f5(x163,x161),f5(x163,x162))
% 7.80/7.90 [17]~E(x171,x172)+E(f17(x171,x173,x174),f17(x172,x173,x174))
% 7.80/7.90 [18]~E(x181,x182)+E(f17(x183,x181,x184),f17(x183,x182,x184))
% 7.80/7.90 [19]~E(x191,x192)+E(f17(x193,x194,x191),f17(x193,x194,x192))
% 7.80/7.90 [20]~E(x201,x202)+E(f20(x201,x203),f20(x202,x203))
% 7.80/7.90 [21]~E(x211,x212)+E(f20(x213,x211),f20(x213,x212))
% 7.80/7.90 [22]~E(x221,x222)+E(f14(x221,x223),f14(x222,x223))
% 7.80/7.90 [23]~E(x231,x232)+E(f14(x233,x231),f14(x233,x232))
% 7.80/7.90 [24]~E(x241,x242)+E(f6(x241),f6(x242))
% 7.80/7.90 [25]~E(x251,x252)+E(f9(x251),f9(x252))
% 7.80/7.90 [26]~E(x261,x262)+E(f16(x261,x263),f16(x262,x263))
% 7.80/7.90 [27]~E(x271,x272)+E(f16(x273,x271),f16(x273,x272))
% 7.80/7.90 [28]~E(x281,x282)+E(f10(x281),f10(x282))
% 7.80/7.90 [29]~E(x291,x292)+E(f15(x291,x293),f15(x292,x293))
% 7.80/7.90 [30]~E(x301,x302)+E(f15(x303,x301),f15(x303,x302))
% 7.80/7.90 [31]~E(x311,x312)+E(f21(x311,x313),f21(x312,x313))
% 7.80/7.90 [32]~E(x321,x322)+E(f21(x323,x321),f21(x323,x322))
% 7.80/7.90 [33]~P1(x331)+P1(x332)+~E(x331,x332)
% 7.80/7.90 [34]P12(x342,x343,x344)+~E(x341,x342)+~P12(x341,x343,x344)
% 7.80/7.90 [35]P12(x353,x352,x354)+~E(x351,x352)+~P12(x353,x351,x354)
% 7.80/7.90 [36]P12(x363,x364,x362)+~E(x361,x362)+~P12(x363,x364,x361)
% 7.80/7.90 [37]P7(x372,x373)+~E(x371,x372)+~P7(x371,x373)
% 7.80/7.90 [38]P7(x383,x382)+~E(x381,x382)+~P7(x383,x381)
% 7.80/7.90 [39]P11(x392,x393,x394)+~E(x391,x392)+~P11(x391,x393,x394)
% 7.80/7.90 [40]P11(x403,x402,x404)+~E(x401,x402)+~P11(x403,x401,x404)
% 7.80/7.90 [41]P11(x413,x414,x412)+~E(x411,x412)+~P11(x413,x414,x411)
% 7.80/7.90 [42]~P2(x421)+P2(x422)+~E(x421,x422)
% 7.80/7.90 [43]~P3(x431)+P3(x432)+~E(x431,x432)
% 7.80/7.90 [44]P6(x442,x443)+~E(x441,x442)+~P6(x441,x443)
% 7.80/7.90 [45]P6(x453,x452)+~E(x451,x452)+~P6(x453,x451)
% 7.80/7.90 [46]P13(x462,x463)+~E(x461,x462)+~P13(x461,x463)
% 7.80/7.90 [47]P13(x473,x472)+~E(x471,x472)+~P13(x473,x471)
% 7.80/7.90 [48]P16(x482,x483)+~E(x481,x482)+~P16(x481,x483)
% 7.80/7.90 [49]P16(x493,x492)+~E(x491,x492)+~P16(x493,x491)
% 7.80/7.90 [50]P9(x502,x503)+~E(x501,x502)+~P9(x501,x503)
% 7.80/7.90 [51]P9(x513,x512)+~E(x511,x512)+~P9(x513,x511)
% 7.80/7.90 [52]P14(x522,x523)+~E(x521,x522)+~P14(x521,x523)
% 7.80/7.90 [53]P14(x533,x532)+~E(x531,x532)+~P14(x533,x531)
% 7.80/7.90 [54]~P10(x541)+P10(x542)+~E(x541,x542)
% 7.80/7.90 [55]P5(x552,x553)+~E(x551,x552)+~P5(x551,x553)
% 7.80/7.90 [56]P5(x563,x562)+~E(x561,x562)+~P5(x563,x561)
% 7.80/7.90 [57]~P4(x571)+P4(x572)+~E(x571,x572)
% 7.80/7.90 [58]P8(x582,x583)+~E(x581,x582)+~P8(x581,x583)
% 7.80/7.90 [59]P8(x593,x592)+~E(x591,x592)+~P8(x593,x591)
% 7.80/7.90 [60]P17(x602,x603)+~E(x601,x602)+~P17(x601,x603)
% 7.80/7.90 [61]P17(x613,x612)+~E(x611,x612)+~P17(x613,x611)
% 7.80/7.90 [62]P15(x622,x623)+~E(x621,x622)+~P15(x621,x623)
% 7.80/7.90 [63]P15(x633,x632)+~E(x631,x632)+~P15(x633,x631)
% 7.80/7.90
% 7.80/7.90 %-------------------------------------------
% 7.80/7.90 cnf(149,plain,
% 7.80/7.90 (~P6(a4,a11)),
% 7.80/7.90 inference(scs_inference,[],[68,78,89])).
% 7.80/7.90 cnf(150,plain,
% 7.80/7.90 (~P9(a4,a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,78,89,115])).
% 7.80/7.90 cnf(151,plain,
% 7.80/7.90 (~E(a22,a1)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,72,78,89,115,2])).
% 7.80/7.90 cnf(154,plain,
% 7.80/7.90 (P4(a12)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,72,78,89,115,2,85,84])).
% 7.80/7.90 cnf(156,plain,
% 7.80/7.90 (P6(a4,f13(a4))),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,72,78,89,115,2,85,84,88])).
% 7.80/7.90 cnf(161,plain,
% 7.80/7.90 (~E(f13(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,72,78,89,115,2,85,84,88,81,57,45])).
% 7.80/7.90 cnf(163,plain,
% 7.80/7.90 (~E(a1,a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33])).
% 7.80/7.90 cnf(164,plain,
% 7.80/7.90 (P13(f15(a11,a12),a12)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111])).
% 7.80/7.90 cnf(166,plain,
% 7.80/7.90 (P14(f15(a11,a12),a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110])).
% 7.80/7.90 cnf(168,plain,
% 7.80/7.90 (P16(f15(a11,a12),a12)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114])).
% 7.80/7.90 cnf(170,plain,
% 7.80/7.90 (P11(a4,f6(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126])).
% 7.80/7.90 cnf(172,plain,
% 7.80/7.90 (P6(f9(a4),a22)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117])).
% 7.80/7.90 cnf(174,plain,
% 7.80/7.90 (P6(f6(a4),a1)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116])).
% 7.80/7.90 cnf(176,plain,
% 7.80/7.90 (P12(f9(a4),f10(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128])).
% 7.80/7.90 cnf(178,plain,
% 7.80/7.90 (P12(f6(a4),f9(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127])).
% 7.80/7.90 cnf(180,plain,
% 7.80/7.90 (~P9(f9(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123])).
% 7.80/7.90 cnf(182,plain,
% 7.80/7.90 (~P14(f10(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122])).
% 7.80/7.90 cnf(184,plain,
% 7.80/7.90 (P15(f9(a4),f10(a4))),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120])).
% 7.80/7.90 cnf(186,plain,
% 7.80/7.90 (P2(f6(a4))),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120,118])).
% 7.80/7.90 cnf(188,plain,
% 7.80/7.90 (P10(f10(a4))),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120,118,87])).
% 7.80/7.90 cnf(190,plain,
% 7.80/7.90 (P10(f15(a11,a12))),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120,118,87,86])).
% 7.80/7.90 cnf(192,plain,
% 7.80/7.90 (P4(f9(a4))),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120,118,87,86,83])).
% 7.80/7.90 cnf(196,plain,
% 7.80/7.90 (~P11(f6(a4),f10(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120,118,87,86,83,82,146])).
% 7.80/7.90 cnf(200,plain,
% 7.80/7.90 (~P16(f10(a4),a12)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120,118,87,86,83,82,146,130,129])).
% 7.80/7.90 cnf(202,plain,
% 7.80/7.90 (~P6(f9(a4),a1)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120,118,87,86,83,82,146,130,129,96])).
% 7.80/7.90 cnf(204,plain,
% 7.80/7.90 (P2(f9(a4))),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,65,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120,118,87,86,83,82,146,130,129,96,90])).
% 7.80/7.90 cnf(218,plain,
% 7.80/7.90 (E(a4,x2181)+P12(a4,x2181,a11)+~P7(x2181,a12)),
% 7.80/7.90 inference(scs_inference,[],[68,70,71,79,64,65,72,78,89,115,2,85,84,88,81,57,45,44,33,111,110,114,126,117,116,128,127,123,122,120,118,87,86,83,82,146,130,129,96,90,135,124,148,147,133,107,131])).
% 7.80/7.90 cnf(221,plain,
% 7.80/7.90 (P12(a4,f6(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[170,132])).
% 7.80/7.90 cnf(223,plain,
% 7.80/7.90 (P8(f9(a4),f10(a4))),
% 7.80/7.90 inference(scs_inference,[],[184,170,132,93])).
% 7.80/7.90 cnf(225,plain,
% 7.80/7.90 (P2(f15(a11,a12))),
% 7.80/7.90 inference(scs_inference,[],[190,184,170,132,93,80])).
% 7.80/7.90 cnf(227,plain,
% 7.80/7.90 (P17(f14(a11,f15(a11,a12)),a11)),
% 7.80/7.90 inference(scs_inference,[],[190,184,166,170,132,93,80,106])).
% 7.80/7.90 cnf(231,plain,
% 7.80/7.90 (P14(f15(a11,a12),f5(f15(a11,a12),a12))),
% 7.80/7.90 inference(scs_inference,[],[190,184,168,166,170,132,93,80,106,104,102])).
% 7.80/7.90 cnf(233,plain,
% 7.80/7.90 (P6(a12,f5(f15(a11,a12),a12))),
% 7.80/7.90 inference(scs_inference,[],[190,184,168,166,170,132,93,80,106,104,102,101])).
% 7.80/7.90 cnf(235,plain,
% 7.80/7.90 (P12(f7(f9(a4),f10(a4),a11),f10(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[190,176,184,168,166,170,132,93,80,106,104,102,101,144])).
% 7.80/7.90 cnf(237,plain,
% 7.80/7.90 (P14(f7(f9(a4),f10(a4),a11),a11)),
% 7.80/7.90 inference(scs_inference,[],[190,176,184,168,166,170,132,93,80,106,104,102,101,144,140])).
% 7.80/7.90 cnf(239,plain,
% 7.80/7.90 (P6(f17(a11,f9(a4),f10(a4)),a11)),
% 7.80/7.90 inference(scs_inference,[],[190,176,184,168,166,170,132,93,80,106,104,102,101,144,140,139])).
% 7.80/7.90 cnf(241,plain,
% 7.80/7.90 (P13(f9(a4),f17(a11,f9(a4),f10(a4)))),
% 7.80/7.90 inference(scs_inference,[],[190,176,184,168,166,170,132,93,80,106,104,102,101,144,140,139,138])).
% 7.80/7.90 cnf(243,plain,
% 7.80/7.90 (P13(f10(a4),f17(a11,f9(a4),f10(a4)))),
% 7.80/7.90 inference(scs_inference,[],[190,176,184,168,166,170,132,93,80,106,104,102,101,144,140,139,138,137])).
% 7.80/7.90 cnf(246,plain,
% 7.80/7.90 (~P12(x2461,f15(a11,a12),a11)),
% 7.80/7.90 inference(scs_inference,[],[190,176,184,168,166,182,170,132,93,80,106,104,102,101,144,140,139,138,137,52,122])).
% 7.80/7.90 cnf(249,plain,
% 7.80/7.90 (~P12(f6(a4),f6(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[66,78,190,176,184,168,166,182,170,132,93,80,106,104,102,101,144,140,139,138,137,52,122,33,146])).
% 7.80/7.90 cnf(251,plain,
% 7.80/7.90 (P1(f13(a4))),
% 7.80/7.90 inference(scs_inference,[],[68,66,78,190,176,184,168,166,156,182,170,132,93,80,106,104,102,101,144,140,139,138,137,52,122,33,146,89])).
% 7.80/7.90 cnf(255,plain,
% 7.80/7.90 (~P8(f10(a4),f9(a4))),
% 7.80/7.90 inference(scs_inference,[],[68,66,78,79,71,190,176,184,168,166,156,182,170,132,93,80,106,104,102,101,144,140,139,138,137,52,122,33,146,89,115,95])).
% 7.80/7.90 cnf(280,plain,
% 7.80/7.90 (~P8(x2801,f9(a4))+~P8(f10(a4),x2801)+~E(f10(a4),f9(a4))),
% 7.80/7.90 inference(scs_inference,[],[68,66,78,79,71,190,180,176,184,204,168,166,178,156,174,182,202,170,132,93,80,106,104,102,101,144,140,139,138,137,52,122,33,146,89,115,95,59,58,35,34,145,130,129,135,126,116,133,117,120,44,98])).
% 7.80/7.90 cnf(294,plain,
% 7.80/7.90 (~P15(f6(a4),f6(a4))),
% 7.80/7.90 inference(scs_inference,[],[221,249,145])).
% 7.80/7.90 cnf(296,plain,
% 7.80/7.90 (~P11(x2961,f15(a11,a12),a11)),
% 7.80/7.90 inference(scs_inference,[],[221,246,249,145,132])).
% 7.80/7.90 cnf(300,plain,
% 7.80/7.90 (~P15(f10(a4),f9(a4))),
% 7.80/7.90 inference(scs_inference,[],[231,255,221,246,249,145,132,122,93])).
% 7.80/7.90 cnf(302,plain,
% 7.80/7.90 (~P2(a12)),
% 7.80/7.90 inference(scs_inference,[],[70,78,231,255,221,246,249,145,132,122,93,89])).
% 7.80/7.90 cnf(304,plain,
% 7.80/7.90 (~E(f7(f9(a4),f10(a4),a11),f10(a4))),
% 7.80/7.90 inference(scs_inference,[],[70,78,231,255,221,246,237,249,182,145,132,122,93,89,52])).
% 7.80/7.90 cnf(305,plain,
% 7.80/7.90 (P15(a4,f6(a4))),
% 7.80/7.90 inference(scs_inference,[],[70,78,231,255,221,246,237,249,182,145,132,122,93,89,52,120])).
% 7.80/7.90 cnf(307,plain,
% 7.80/7.90 (~P12(a4,a4,a11)),
% 7.80/7.90 inference(scs_inference,[],[70,78,231,255,221,246,237,249,182,170,145,132,122,93,89,52,120,146])).
% 7.80/7.90 cnf(309,plain,
% 7.80/7.90 (~P11(a12,x3091,x3092)),
% 7.80/7.90 inference(scs_inference,[],[70,78,231,255,221,246,237,249,182,170,145,132,122,93,89,52,120,146,119])).
% 7.80/7.90 cnf(311,plain,
% 7.80/7.90 (~P15(f6(a4),x3111)+~E(x3111,f6(a4))),
% 7.80/7.90 inference(scs_inference,[],[70,78,231,255,221,246,237,249,182,170,145,132,122,93,89,52,120,146,119,63])).
% 7.80/7.90 cnf(314,plain,
% 7.80/7.90 (~E(f6(a4),f15(a11,a12))),
% 7.80/7.90 inference(scs_inference,[],[70,78,225,231,255,221,246,237,249,182,170,145,132,122,93,89,52,120,146,119,63,62,42,40])).
% 7.80/7.90 cnf(316,plain,
% 7.80/7.90 (~P11(x3161,a12,x3162)),
% 7.80/7.90 inference(scs_inference,[],[70,78,225,231,255,221,246,237,249,182,170,145,132,122,93,89,52,120,146,119,63,62,42,40,39,118])).
% 7.80/7.90 cnf(318,plain,
% 7.80/7.90 (~P10(a12)),
% 7.80/7.90 inference(scs_inference,[],[70,78,225,231,255,221,246,237,249,182,170,145,132,122,93,89,52,120,146,119,63,62,42,40,39,118,80])).
% 7.80/7.90 cnf(320,plain,
% 7.80/7.90 (~P6(a12,a3)),
% 7.80/7.90 inference(scs_inference,[],[70,67,78,225,231,255,221,246,237,249,182,170,145,132,122,93,89,52,120,146,119,63,62,42,40,39,118,80,90])).
% 7.80/7.90 cnf(322,plain,
% 7.80/7.90 (~E(a11,a3)),
% 7.80/7.90 inference(scs_inference,[],[70,67,78,225,231,255,221,246,237,249,182,170,145,132,122,93,89,52,120,146,119,63,62,42,40,39,118,80,90,45])).
% 7.80/7.90 cnf(325,plain,
% 7.80/7.90 (~P7(a12,a12)+P12(a4,a12,a11)),
% 7.80/7.90 inference(scs_inference,[],[70,67,78,225,231,255,221,246,188,237,249,182,178,170,145,132,122,93,89,52,120,146,119,63,62,42,40,39,118,80,90,45,35,54,218])).
% 7.80/7.90 cnf(332,plain,
% 7.80/7.90 (~P15(x3321,a12)),
% 7.80/7.90 inference(scs_inference,[],[70,67,74,78,71,225,231,255,221,246,188,237,249,164,182,178,170,68,145,132,122,93,89,52,120,146,119,63,62,42,40,39,118,80,90,45,35,54,218,112,136,87])).
% 7.80/7.90 cnf(334,plain,
% 7.80/7.90 (~P14(a12,x3341)),
% 7.80/7.90 inference(scs_inference,[],[70,67,74,78,71,225,231,255,221,246,188,237,249,164,182,178,170,68,145,132,122,93,89,52,120,146,119,63,62,42,40,39,118,80,90,45,35,54,218,112,136,87,86])).
% 7.80/7.90 cnf(336,plain,
% 7.80/7.90 (~P8(x3361,f9(a4))+P8(x3361,f10(a4))),
% 7.80/7.90 inference(scs_inference,[],[70,67,74,78,71,225,231,255,221,246,188,223,237,249,164,182,178,170,68,145,132,122,93,89,52,120,146,119,63,62,42,40,39,118,80,90,45,35,54,218,112,136,87,86,98])).
% 7.80/7.90 cnf(349,plain,
% 7.80/7.90 (P10(f6(a4))),
% 7.80/7.90 inference(scs_inference,[],[305,87])).
% 7.80/7.90 cnf(351,plain,
% 7.80/7.90 (P10(f7(f9(a4),f10(a4),a11))),
% 7.80/7.90 inference(scs_inference,[],[305,237,87,86])).
% 7.80/7.90 cnf(354,plain,
% 7.80/7.90 (~P14(f9(a4),a11)),
% 7.80/7.90 inference(scs_inference,[],[186,305,302,237,178,87,86,42,122])).
% 7.80/7.90 cnf(356,plain,
% 7.80/7.90 (P2(f10(a4))),
% 7.80/7.90 inference(scs_inference,[],[186,305,302,237,188,178,87,86,42,122,80])).
% 7.80/7.90 cnf(358,plain,
% 7.80/7.90 (P8(a4,f6(a4))),
% 7.80/7.90 inference(scs_inference,[],[186,305,302,237,188,178,87,86,42,122,80,93])).
% 7.80/7.90 cnf(360,plain,
% 7.80/7.91 (~P6(f6(a4),a11)),
% 7.80/7.91 inference(scs_inference,[],[78,186,305,302,237,188,178,87,86,42,122,80,93,89])).
% 7.80/7.91 cnf(362,plain,
% 7.80/7.91 (~P11(a4,f9(a4),a11)),
% 7.80/7.91 inference(scs_inference,[],[78,186,305,302,237,188,178,221,87,86,42,122,80,93,89,146])).
% 7.80/7.91 cnf(364,plain,
% 7.80/7.91 (~P12(f6(a4),f6(a4),x3641)),
% 7.80/7.91 inference(scs_inference,[],[78,294,186,305,302,237,188,178,221,87,86,42,122,80,93,89,146,120])).
% 7.80/7.91 cnf(372,plain,
% 7.80/7.91 (~P8(f6(a4),a4)),
% 7.80/7.91 inference(scs_inference,[],[358,239,322,96,95])).
% 7.80/7.91 cnf(376,plain,
% 7.80/7.91 (~P16(a12,x3761)),
% 7.80/7.91 inference(scs_inference,[],[351,358,362,318,334,239,322,170,96,95,54,40,102])).
% 7.80/7.91 cnf(379,plain,
% 7.80/7.91 (~P1(f5(f15(a11,a12),a12))),
% 7.80/7.91 inference(scs_inference,[],[351,358,362,318,334,233,239,322,302,170,96,95,54,40,102,90])).
% 7.80/7.91 cnf(383,plain,
% 7.80/7.91 (~P14(f6(a4),a11)),
% 7.80/7.91 inference(scs_inference,[],[351,364,358,362,318,334,233,239,322,302,221,170,96,95,54,40,102,90,132,122])).
% 7.80/7.91 cnf(385,plain,
% 7.80/7.91 (~P15(f6(a4),a4)),
% 7.80/7.91 inference(scs_inference,[],[351,364,358,362,318,334,233,239,322,302,221,170,96,95,54,40,102,90,132,122,93])).
% 7.80/7.91 cnf(387,plain,
% 7.80/7.91 (~P2(f17(a11,f9(a4),f10(a4)))),
% 7.80/7.91 inference(scs_inference,[],[78,351,364,358,362,318,334,233,239,322,302,221,170,96,95,54,40,102,90,132,122,93,89])).
% 7.80/7.91 cnf(389,plain,
% 7.80/7.91 (P15(f7(f9(a4),f10(a4),a11),f10(a4))),
% 7.80/7.91 inference(scs_inference,[],[78,351,364,358,362,318,334,233,235,239,322,302,221,170,96,95,54,40,102,90,132,122,93,89,120])).
% 7.80/7.91 cnf(394,plain,
% 7.80/7.91 (~P10(f17(a11,f9(a4),f10(a4)))),
% 7.80/7.91 inference(scs_inference,[],[150,78,351,364,358,362,318,334,233,235,239,322,302,221,170,96,95,54,40,102,90,132,122,93,89,120,51,118,80])).
% 7.80/7.91 cnf(400,plain,
% 7.80/7.91 (P4(f10(a4))),
% 7.80/7.91 inference(scs_inference,[],[150,78,351,364,358,362,318,334,233,235,239,322,243,302,221,170,96,95,54,40,102,90,132,122,93,89,120,51,118,80,142,141,85])).
% 7.80/7.91 cnf(416,plain,
% 7.80/7.91 (~P7(f6(a4),f17(a11,f9(a4),f10(a4)))),
% 7.80/7.91 inference(scs_inference,[],[174,235,239,178,82,123,130])).
% 7.80/7.91 cnf(418,plain,
% 7.80/7.91 (P12(f9(a4),f20(f9(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[180,174,235,239,178,82,123,130,135])).
% 7.80/7.91 cnf(420,plain,
% 7.80/7.91 (~P6(f9(a4),a3)),
% 7.80/7.91 inference(scs_inference,[],[76,172,180,174,235,239,178,82,123,130,135,96])).
% 7.80/7.91 cnf(422,plain,
% 7.80/7.91 (~P15(x4221,f17(a11,f9(a4),f10(a4)))),
% 7.80/7.91 inference(scs_inference,[],[76,394,172,180,174,235,239,178,82,123,130,135,96,87])).
% 7.80/7.91 cnf(424,plain,
% 7.80/7.91 (~P14(f17(a11,f9(a4),f10(a4)),x4241)),
% 7.80/7.91 inference(scs_inference,[],[76,394,172,180,174,235,239,178,82,123,130,135,96,87,86])).
% 7.80/7.91 cnf(426,plain,
% 7.80/7.91 (~P12(x4261,f7(f9(a4),f10(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[76,394,172,180,174,237,235,239,178,82,123,130,135,96,87,86,122])).
% 7.80/7.91 cnf(428,plain,
% 7.80/7.91 (P2(f7(f9(a4),f10(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[76,394,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80])).
% 7.80/7.91 cnf(430,plain,
% 7.80/7.91 (P8(f7(f9(a4),f10(a4),a11),f10(a4))),
% 7.80/7.91 inference(scs_inference,[],[76,394,389,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93])).
% 7.80/7.91 cnf(435,plain,
% 7.80/7.91 (P13(f6(a4),f17(a11,f6(a4),f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[76,150,394,300,389,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138])).
% 7.80/7.91 cnf(437,plain,
% 7.80/7.91 (P13(f9(a4),f17(a11,f6(a4),f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[76,150,394,300,389,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138,137])).
% 7.80/7.91 cnf(439,plain,
% 7.80/7.91 (P12(f7(f6(a4),f9(a4),a11),f9(a4),a11)),
% 7.80/7.91 inference(scs_inference,[],[76,150,394,300,389,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138,137,144])).
% 7.80/7.91 cnf(441,plain,
% 7.80/7.91 (P14(f7(f6(a4),f9(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[76,150,394,300,389,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138,137,144,140])).
% 7.80/7.91 cnf(443,plain,
% 7.80/7.91 (P6(f17(a11,f6(a4),f9(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[76,150,394,300,389,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138,137,144,140,139])).
% 7.80/7.91 cnf(445,plain,
% 7.80/7.91 (P4(f6(a4))),
% 7.80/7.91 inference(scs_inference,[],[76,150,394,300,389,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138,137,144,140,139,83])).
% 7.80/7.91 cnf(448,plain,
% 7.80/7.91 (P6(f10(a4),f13(f10(a4)))),
% 7.80/7.91 inference(scs_inference,[],[76,150,394,300,389,400,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138,137,144,140,139,83,34,88])).
% 7.80/7.91 cnf(450,plain,
% 7.80/7.91 (~P8(f10(a4),f7(f9(a4),f10(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[76,150,394,300,389,400,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138,137,144,140,139,83,34,88,95])).
% 7.80/7.91 cnf(452,plain,
% 7.80/7.91 (~P2(f17(a11,f6(a4),f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[76,150,78,394,300,389,400,172,351,180,174,237,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138,137,144,140,139,83,34,88,95,89])).
% 7.80/7.91 cnf(461,plain,
% 7.80/7.91 (P8(x4611,f6(a4))+~E(a4,x4611)),
% 7.80/7.91 inference(scs_inference,[],[76,150,78,394,300,389,400,196,172,351,180,358,174,237,246,235,239,178,82,123,130,135,96,87,86,122,80,93,120,50,138,137,144,140,139,83,34,88,95,89,218,124,148,58])).
% 7.80/7.91 cnf(480,plain,
% 7.80/7.91 (P10(f7(f6(a4),f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[149,66,422,387,443,441,439,184,63,129,44,90,86])).
% 7.80/7.91 cnf(482,plain,
% 7.80/7.91 (~P12(x4821,f7(f6(a4),f9(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[149,66,422,387,443,441,439,184,63,129,44,90,86,122])).
% 7.80/7.91 cnf(484,plain,
% 7.80/7.91 (~P11(f6(a4),f20(f9(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[149,66,422,387,418,443,441,439,184,178,63,129,44,90,86,122,146])).
% 7.80/7.91 cnf(486,plain,
% 7.80/7.91 (~P10(f17(a11,f6(a4),f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[149,66,422,387,452,418,443,441,439,184,178,63,129,44,90,86,122,146,80])).
% 7.80/7.91 cnf(488,plain,
% 7.80/7.91 (~P15(f10(a4),f7(f9(a4),f10(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[149,66,422,387,452,418,450,443,441,439,184,178,63,129,44,90,86,122,146,80,93])).
% 7.80/7.91 cnf(490,plain,
% 7.80/7.91 (P15(f9(a4),f20(f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[149,66,422,387,452,418,450,443,441,439,184,178,63,129,44,90,86,122,146,80,93,120])).
% 7.80/7.91 cnf(495,plain,
% 7.80/7.91 (~P7(f9(a4),f17(a11,f6(a4),f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[149,66,78,422,387,452,418,428,450,443,441,439,200,184,178,63,129,44,90,86,122,146,80,93,120,89,49,130])).
% 7.80/7.91 cnf(497,plain,
% 7.80/7.91 (P6(f6(f9(a4)),a1)),
% 7.80/7.91 inference(scs_inference,[],[149,66,78,422,387,452,418,428,437,450,443,441,439,200,184,204,178,63,129,44,90,86,122,146,80,93,120,89,49,130,116])).
% 7.80/7.91 cnf(501,plain,
% 7.80/7.91 (P10(f20(f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[149,65,66,78,422,387,452,418,420,428,437,450,443,441,439,200,184,172,204,178,63,129,44,90,86,122,146,80,93,120,89,49,130,116,33,45,87])).
% 7.80/7.91 cnf(510,plain,
% 7.80/7.91 (~P8(x5101,a4)+P15(f7(f9(a4),f10(a4),a11),f15(a11,a12))+~P8(f6(a4),x5101)),
% 7.80/7.91 inference(scs_inference,[],[149,151,65,66,78,422,387,452,372,418,420,428,430,437,450,448,443,441,439,200,184,172,190,204,178,63,129,44,90,86,122,146,80,93,120,89,49,130,116,33,45,87,136,134,94,59,98])).
% 7.80/7.91 cnf(513,plain,
% 7.80/7.91 (~P11(f17(a11,f9(a4),f10(a4)),x5131,x5132)),
% 7.80/7.91 inference(scs_inference,[],[387,119])).
% 7.80/7.91 cnf(515,plain,
% 7.80/7.91 (P6(f9(f9(a4)),a22)),
% 7.80/7.91 inference(scs_inference,[],[495,387,437,443,204,119,117])).
% 7.80/7.91 cnf(517,plain,
% 7.80/7.91 (P11(f9(a4),f6(f9(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[495,387,437,443,204,119,117,126])).
% 7.80/7.91 cnf(519,plain,
% 7.80/7.91 (P2(f6(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[495,387,437,443,204,119,117,126,118])).
% 7.80/7.91 cnf(524,plain,
% 7.80/7.91 (P12(f9(a4),f6(f9(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[67,78,495,426,387,439,437,443,204,119,117,126,118,33,35,132])).
% 7.80/7.91 cnf(526,plain,
% 7.80/7.91 (P2(f9(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[67,65,78,495,426,387,439,437,443,204,119,117,126,118,33,35,132,90])).
% 7.80/7.91 cnf(530,plain,
% 7.80/7.91 (~P14(f17(a11,f6(a4),f9(a4)),x5301)),
% 7.80/7.91 inference(scs_inference,[],[67,65,78,486,495,426,387,439,437,443,204,119,117,126,118,33,35,132,90,87,86])).
% 7.80/7.91 cnf(534,plain,
% 7.80/7.91 (~P12(f9(a4),f9(a4),a11)),
% 7.80/7.91 inference(scs_inference,[],[67,65,78,486,495,426,387,439,437,418,443,204,119,117,126,118,33,35,132,90,87,86,122,146])).
% 7.80/7.91 cnf(536,plain,
% 7.80/7.91 (P2(f20(f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[67,65,78,486,501,495,426,387,439,437,418,443,204,119,117,126,118,33,35,132,90,87,86,122,146,80])).
% 7.80/7.91 cnf(538,plain,
% 7.80/7.91 (P8(f9(a4),f20(f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[67,65,78,486,501,495,490,426,387,439,437,418,443,204,119,117,126,118,33,35,132,90,87,86,122,146,80,93])).
% 7.80/7.91 cnf(540,plain,
% 7.80/7.91 (~P12(f10(a4),f7(f9(a4),f10(a4),a11),x5401)),
% 7.80/7.91 inference(scs_inference,[],[67,65,78,486,501,495,490,488,426,387,439,437,418,443,204,119,117,126,118,33,35,132,90,87,86,122,146,80,93,120])).
% 7.80/7.91 cnf(542,plain,
% 7.80/7.91 (P1(f13(f10(a4)))),
% 7.80/7.91 inference(scs_inference,[],[67,65,78,486,501,495,490,488,426,387,448,356,439,437,418,443,204,119,117,126,118,33,35,132,90,87,86,122,146,80,93,120,89])).
% 7.80/7.91 cnf(547,plain,
% 7.80/7.91 (~P8(f6(a4),f6(a4))),
% 7.80/7.91 inference(scs_inference,[],[69,67,65,78,486,501,495,490,488,426,349,309,387,294,448,356,439,437,418,443,204,119,117,126,118,33,35,132,90,87,86,122,146,80,93,120,89,43,39,94])).
% 7.80/7.91 cnf(551,plain,
% 7.80/7.91 (~P8(f20(f9(a4),a11),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[69,67,65,78,486,501,495,490,488,426,349,309,387,294,448,356,439,437,418,239,443,204,119,117,126,118,33,35,132,90,87,86,122,146,80,93,120,89,43,39,94,129,95])).
% 7.80/7.91 cnf(555,plain,
% 7.80/7.91 (~E(f6(f9(a4)),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[69,67,65,78,424,486,497,501,495,490,488,426,349,309,387,294,448,356,439,202,231,437,418,239,443,204,119,117,126,118,33,35,132,90,87,86,122,146,80,93,120,89,43,39,94,129,95,52,44])).
% 7.80/7.91 cnf(574,plain,
% 7.80/7.91 (~P11(x5741,f17(a11,f6(a4),f9(a4)),x5742)),
% 7.80/7.91 inference(scs_inference,[],[452,118])).
% 7.80/7.91 cnf(586,plain,
% 7.80/7.91 (~P15(f20(f9(a4),a11),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[64,354,540,551,524,320,452,441,439,233,176,118,90,45,132,52,122,146,93])).
% 7.80/7.91 cnf(588,plain,
% 7.80/7.91 (P15(f9(a4),f6(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[64,354,540,551,524,320,452,441,439,233,176,118,90,45,132,52,122,146,93,120])).
% 7.80/7.91 cnf(591,plain,
% 7.80/7.91 (P4(f15(a11,a12))),
% 7.80/7.91 inference(scs_inference,[],[64,354,540,551,484,524,320,452,441,164,439,233,176,118,90,45,132,52,122,146,93,120,41,85])).
% 7.80/7.91 cnf(593,plain,
% 7.80/7.91 (~P7(f15(a11,a12),f17(a11,f6(a4),f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[64,354,540,551,435,484,524,320,314,452,186,441,164,439,246,233,443,176,118,90,45,132,52,122,146,93,120,41,85,131])).
% 7.80/7.91 cnf(608,plain,
% 7.80/7.91 (P10(f6(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[76,536,482,588,513,517,515,302,235,42,39,96,35,87])).
% 7.80/7.91 cnf(610,plain,
% 7.80/7.91 (~P12(f10(a4),f6(f9(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[76,536,482,588,513,517,515,302,235,176,42,39,96,35,87,146])).
% 7.80/7.91 cnf(612,plain,
% 7.80/7.91 (P8(f9(a4),f6(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[76,536,482,588,513,517,515,302,235,176,42,39,96,35,87,146,93])).
% 7.80/7.91 cnf(614,plain,
% 7.80/7.91 (~P12(f20(f9(a4),a11),f9(a4),x6141)),
% 7.80/7.91 inference(scs_inference,[],[76,536,586,482,588,513,517,515,302,235,176,42,39,96,35,87,146,93,120])).
% 7.80/7.91 cnf(617,plain,
% 7.80/7.91 (P13(f6(a4),f17(a11,a4,f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[76,593,536,586,482,588,513,517,515,302,235,221,176,42,39,96,35,87,146,93,120,38,137])).
% 7.80/7.91 cnf(619,plain,
% 7.80/7.91 (P12(f7(a4,f6(a4),a11),f6(a4),a11)),
% 7.80/7.91 inference(scs_inference,[],[76,593,536,586,482,588,513,517,515,302,235,221,176,42,39,96,35,87,146,93,120,38,137,144])).
% 7.80/7.91 cnf(621,plain,
% 7.80/7.91 (P6(f17(a11,a4,f6(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[76,593,536,586,482,588,513,517,515,302,235,221,176,42,39,96,35,87,146,93,120,38,137,144,139])).
% 7.80/7.91 cnf(623,plain,
% 7.80/7.91 (P13(a4,f17(a11,a4,f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[76,593,536,586,482,588,513,517,515,302,235,221,176,42,39,96,35,87,146,93,120,38,137,144,139,138])).
% 7.80/7.91 cnf(660,plain,
% 7.80/7.91 (P7(a4,f17(a11,f9(a4),f10(a4)))+~P13(f6(a4),f17(a11,f9(a4),f10(a4)))+~E(a12,f17(a11,f6(a4),f9(a4)))+E(f6(f9(a4)),f10(a4))+~P12(f6(a4),f6(f9(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[77,76,65,78,591,593,536,480,555,586,482,588,534,513,517,515,316,318,435,497,448,302,225,164,235,439,233,221,239,176,68,70,42,39,96,35,87,146,93,120,38,137,144,139,138,115,2,84,81,145,126,54,40,117,95,118,132,90,89,142,141,133,83,82,134])).
% 7.80/7.91 cnf(665,plain,
% 7.80/7.91 (P14(f7(a4,f6(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[619,221,123,140])).
% 7.80/7.91 cnf(667,plain,
% 7.80/7.91 (~P15(f9(a4),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[619,534,439,221,123,140,145])).
% 7.80/7.91 cnf(669,plain,
% 7.80/7.91 (~P8(f6(f9(a4)),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[612,619,534,439,221,123,140,145,95])).
% 7.80/7.91 cnf(675,plain,
% 7.80/7.91 (P10(f7(a4,f6(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[151,614,612,619,534,515,439,221,123,140,145,95,96,132,86])).
% 7.80/7.91 cnf(677,plain,
% 7.80/7.91 (~P12(x6771,f7(a4,f6(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[151,614,612,619,534,515,439,221,123,140,145,95,96,132,86,122])).
% 7.80/7.91 cnf(679,plain,
% 7.80/7.91 (~P6(f17(a11,f9(a4),f10(a4)),a22)),
% 7.80/7.91 inference(scs_inference,[],[65,151,614,612,619,534,387,515,439,221,123,140,145,95,96,132,86,122,90])).
% 7.80/7.91 cnf(685,plain,
% 7.80/7.91 (P15(f7(a4,f6(a4),a11),f6(a4))),
% 7.80/7.91 inference(scs_inference,[],[65,151,78,614,519,612,619,534,387,515,439,221,123,140,145,95,96,132,86,122,90,93,89,120])).
% 7.80/7.91 cnf(694,plain,
% 7.80/7.91 (P6(a12,f13(a12))),
% 7.80/7.91 inference(scs_inference,[],[154,685,294,62,88])).
% 7.80/7.91 cnf(703,plain,
% 7.80/7.91 (~P2(f17(a11,a4,f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[154,78,574,675,667,685,610,621,490,524,294,387,186,170,62,88,63,40,42,34,80,89])).
% 7.80/7.91 cnf(707,plain,
% 7.80/7.91 (P8(f7(a4,f6(a4),a11),f6(a4))),
% 7.80/7.91 inference(scs_inference,[],[154,78,574,675,667,685,610,621,490,524,294,387,186,170,62,88,63,40,42,34,80,89,120,93])).
% 7.80/7.91 cnf(712,plain,
% 7.80/7.91 (~P8(f6(a4),f7(a4,f6(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[154,78,574,675,667,685,677,610,547,621,490,619,524,294,387,186,170,70,62,88,63,40,42,34,80,89,120,93,36,130,98])).
% 7.80/7.91 cnf(722,plain,
% 7.80/7.91 (~P11(f17(a11,a4,f6(a4)),x7221,x7222)),
% 7.80/7.91 inference(scs_inference,[],[703,119])).
% 7.80/7.91 cnf(726,plain,
% 7.80/7.91 (~P12(x7261,f15(a11,a12),f13(a12))),
% 7.80/7.91 inference(scs_inference,[],[703,694,524,621,168,119,130,129])).
% 7.80/7.91 cnf(732,plain,
% 7.80/7.91 (~P10(f17(a11,a4,f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[66,73,379,703,679,694,524,497,621,168,239,119,130,129,33,45,96,80])).
% 7.80/7.91 cnf(734,plain,
% 7.80/7.91 (~P1(f13(a12))),
% 7.80/7.91 inference(scs_inference,[],[66,73,379,703,679,694,524,302,497,621,168,239,119,130,129,33,45,96,80,90])).
% 7.80/7.91 cnf(736,plain,
% 7.80/7.91 (P15(f7(f6(a4),f9(a4),a11),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[66,73,379,703,679,694,524,302,497,621,168,439,239,119,130,129,33,45,96,80,90,120])).
% 7.80/7.91 cnf(738,plain,
% 7.80/7.91 (~P15(f6(a4),f7(a4,f6(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[66,73,379,703,712,679,694,524,302,497,621,168,439,239,119,130,129,33,45,96,80,90,120,93])).
% 7.80/7.91 cnf(741,plain,
% 7.80/7.91 (P13(f15(f13(a12),a12),a12)),
% 7.80/7.91 inference(scs_inference,[],[66,73,379,703,712,679,694,524,302,497,621,168,439,239,119,130,129,33,45,96,80,90,120,93,3,111])).
% 7.80/7.91 cnf(745,plain,
% 7.80/7.91 (~P15(x7451,f17(a11,a4,f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[66,73,379,703,712,679,694,524,302,497,621,168,439,239,119,130,129,33,45,96,80,90,120,93,3,111,85,87])).
% 7.80/7.91 cnf(748,plain,
% 7.80/7.91 (~P14(f17(a11,a4,f6(a4)),x7481)),
% 7.80/7.91 inference(scs_inference,[],[66,73,149,379,703,712,679,694,524,302,497,621,168,439,239,119,130,129,33,45,96,80,90,120,93,3,111,85,87,44,86])).
% 7.80/7.91 cnf(768,plain,
% 7.80/7.91 (P14(f15(f13(a12),a12),f13(a12))),
% 7.80/7.91 inference(scs_inference,[],[734,694,110])).
% 7.80/7.91 cnf(773,plain,
% 7.80/7.91 (~P15(x7731,f17(a11,a4,f6(a4)))),
% 7.80/7.91 inference(rename_variables,[],[745])).
% 7.80/7.91 cnf(777,plain,
% 7.80/7.91 (~E(f15(a11,a12),f17(a11,a4,f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[745,748,736,734,307,231,619,694,443,79,221,71,110,115,63,129,35,52])).
% 7.80/7.91 cnf(779,plain,
% 7.80/7.91 (~P11(x7791,f15(a11,a12),f13(a12))),
% 7.80/7.91 inference(scs_inference,[],[745,748,726,736,734,307,231,619,694,443,79,221,71,110,115,63,129,35,52,132])).
% 7.80/7.91 cnf(781,plain,
% 7.80/7.91 (P10(f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[745,748,726,736,734,307,231,619,694,443,79,221,71,110,115,63,129,35,52,132,87])).
% 7.80/7.91 cnf(783,plain,
% 7.80/7.91 (~P6(f6(a4),a22)),
% 7.80/7.91 inference(scs_inference,[],[151,745,748,726,736,734,307,231,619,174,694,443,79,221,71,110,115,63,129,35,52,132,87,96])).
% 7.80/7.91 cnf(787,plain,
% 7.80/7.91 (P10(f15(f13(a12),a12))),
% 7.80/7.91 inference(scs_inference,[],[151,745,748,726,736,734,307,231,619,174,694,443,79,221,178,71,110,115,63,129,35,52,132,87,96,146,86])).
% 7.80/7.91 cnf(789,plain,
% 7.80/7.91 (P2(f7(f6(a4),f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[151,745,748,726,736,734,307,480,231,619,174,694,443,79,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80])).
% 7.80/7.91 cnf(791,plain,
% 7.80/7.91 (~P12(x7911,f17(a11,a4,f6(a4)),x7912)),
% 7.80/7.91 inference(scs_inference,[],[151,745,773,748,726,736,734,307,480,231,619,174,694,443,79,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80,120])).
% 7.80/7.91 cnf(793,plain,
% 7.80/7.91 (P8(f7(f6(a4),f9(a4),a11),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[151,745,773,748,726,736,734,307,480,231,619,174,694,443,79,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80,120,93])).
% 7.80/7.91 cnf(795,plain,
% 7.80/7.91 (P8(f7(f6(a4),f9(a4),a11),f10(a4))),
% 7.80/7.91 inference(scs_inference,[],[151,745,773,748,726,736,734,307,480,231,619,174,694,443,79,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80,120,93,336])).
% 7.80/7.91 cnf(799,plain,
% 7.80/7.91 (~P16(f6(a4),a12)),
% 7.80/7.91 inference(scs_inference,[],[151,745,773,748,726,736,734,307,480,314,231,619,174,694,443,79,168,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80,120,93,336,280,112])).
% 7.80/7.91 cnf(801,plain,
% 7.80/7.91 (P16(f15(f13(a12),a12),a12)),
% 7.80/7.91 inference(scs_inference,[],[151,745,773,748,726,736,734,741,307,480,314,231,619,174,694,443,79,168,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80,120,93,336,280,112,114])).
% 7.80/7.91 cnf(806,plain,
% 7.80/7.91 (~P8(f9(a4),f7(f6(a4),f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[151,722,745,773,748,732,726,736,734,741,307,480,314,349,231,619,174,694,170,443,79,168,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80,120,93,336,280,112,114,39,54,95])).
% 7.80/7.91 cnf(808,plain,
% 7.80/7.91 (~E(f13(f10(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[151,78,722,745,773,748,732,726,736,734,741,307,542,480,314,349,231,619,174,694,170,443,79,168,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80,120,93,336,280,112,114,39,54,95,33])).
% 7.80/7.91 cnf(809,plain,
% 7.80/7.91 (~P6(f17(a11,a4,f6(a4)),a2)),
% 7.80/7.91 inference(scs_inference,[],[66,151,78,722,745,773,748,732,726,736,734,741,307,542,480,314,349,703,231,619,174,694,170,443,79,168,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80,120,93,336,280,112,114,39,54,95,33,90])).
% 7.80/7.91 cnf(825,plain,
% 7.80/7.91 (P9(f6(a4),a11)+P12(f6(a4),f20(f6(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[66,77,156,151,78,722,745,773,748,732,726,736,734,741,307,542,304,428,540,426,480,314,349,703,172,356,231,515,619,174,694,65,621,170,443,79,168,221,178,71,110,115,63,129,35,52,132,87,96,146,86,80,120,93,336,280,112,114,39,54,95,33,90,36,124,218,113,107,136,83,135])).
% 7.80/7.91 cnf(841,plain,
% 7.80/7.91 (~P8(f9(a4),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[154,74,791,777,781,801,799,617,667,448,225,164,233,48,81,131,82,2,84,94])).
% 7.80/7.91 cnf(843,plain,
% 7.80/7.91 (~P8(f10(a4),f7(f6(a4),f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[154,74,791,777,793,781,801,799,255,617,667,448,225,164,233,48,81,131,82,2,84,94,98])).
% 7.80/7.91 cnf(847,plain,
% 7.80/7.91 (~P12(x8471,f15(f13(a12),a12),f13(a12))),
% 7.80/7.91 inference(scs_inference,[],[154,74,791,777,768,793,781,801,799,255,617,667,448,235,225,164,233,621,48,81,131,82,2,84,94,98,129,122])).
% 7.80/7.91 cnf(851,plain,
% 7.80/7.91 (~P15(f9(a4),f7(f6(a4),f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[154,74,791,777,768,806,793,781,801,809,799,665,354,255,617,667,448,235,225,164,233,621,48,81,131,82,2,84,94,98,129,122,45,52,93])).
% 7.80/7.91 cnf(853,plain,
% 7.80/7.91 (P15(f6(a4),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[154,74,791,777,768,806,793,781,801,809,799,665,354,255,617,667,448,235,225,164,233,621,178,48,81,131,82,2,84,94,98,129,122,45,52,93,120])).
% 7.80/7.91 cnf(888,plain,
% 7.80/7.91 (P8(f6(a4),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[78,789,853,795,376,801,188,439,48,123,94,89,93])).
% 7.80/7.91 cnf(890,plain,
% 7.80/7.91 (~P12(f6(a4),f7(a4,f6(a4),a11),x8901)),
% 7.80/7.91 inference(scs_inference,[],[78,789,738,853,795,376,801,188,439,48,123,94,89,93,120])).
% 7.80/7.91 cnf(897,plain,
% 7.80/7.91 (P8(f7(a4,f6(a4),a11),f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[78,789,738,853,795,707,376,801,314,617,188,246,186,439,621,48,123,94,89,93,120,510,131,98])).
% 7.80/7.91 cnf(902,plain,
% 7.80/7.91 (~P8(f9(a4),f6(a4))),
% 7.80/7.91 inference(scs_inference,[],[78,789,738,853,795,707,296,376,801,314,617,188,302,517,246,186,439,621,48,123,94,89,93,120,510,131,98,40,42,95])).
% 7.80/7.91 cnf(906,plain,
% 7.80/7.91 (~E(a4,f9(a4))),
% 7.80/7.91 inference(scs_inference,[],[78,789,738,853,795,707,296,376,801,314,617,188,302,517,246,186,439,621,70,48,123,94,89,93,120,510,131,98,40,42,95,129,461])).
% 7.80/7.91 cnf(923,plain,
% 7.80/7.91 (~P15(f10(a4),f7(f6(a4),f9(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[843,897,902,841,538,781,59,94,98,93])).
% 7.80/7.91 cnf(927,plain,
% 7.80/7.91 (P6(f6(a4),f13(f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[78,843,897,902,445,841,538,781,59,94,98,93,108,88])).
% 7.80/7.91 cnf(929,plain,
% 7.80/7.91 (P1(f13(f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[78,843,897,902,445,841,538,781,186,59,94,98,93,108,88,89])).
% 7.80/7.91 cnf(953,plain,
% 7.80/7.91 (P8(f6(a4),f10(a4))),
% 7.80/7.91 inference(scs_inference,[],[78,526,923,808,360,669,888,383,703,448,356,621,42,98,44,96,89,120,125,336])).
% 7.80/7.91 cnf(955,plain,
% 7.80/7.91 (~P15(f10(a4),f6(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[78,526,923,808,360,669,888,383,610,703,524,448,356,176,621,42,98,44,96,89,120,125,336,145])).
% 7.80/7.91 cnf(957,plain,
% 7.80/7.91 (P13(a4,f17(a11,f6(a4),f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[78,526,923,808,360,669,888,383,610,435,703,524,448,356,176,621,443,221,42,98,44,96,89,120,125,336,145,133])).
% 7.80/7.91 cnf(992,plain,
% 7.80/7.91 (~P11(f17(a11,f6(a4),f9(a4)),x9921,x9922)),
% 7.80/7.91 inference(scs_inference,[],[452,119])).
% 7.80/7.91 cnf(994,plain,
% 7.80/7.91 (~P7(a4,f17(a11,f6(a4),f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[452,443,221,119,130])).
% 7.80/7.91 cnf(998,plain,
% 7.80/7.91 (~P8(f10(a4),f7(a4,f6(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[955,953,608,712,452,443,221,119,130,94,98])).
% 7.80/7.91 cnf(1001,plain,
% 7.80/7.91 (~P8(f10(a4),f6(a4))),
% 7.80/7.91 inference(scs_inference,[],[78,929,955,953,608,712,452,443,221,119,130,94,98,33,95])).
% 7.80/7.91 cnf(1003,plain,
% 7.80/7.91 (~P6(f17(a11,f6(a4),f9(a4)),f13(a4))),
% 7.80/7.91 inference(scs_inference,[],[161,78,929,955,953,608,712,452,443,221,119,130,94,98,33,95,96])).
% 7.80/7.91 cnf(1031,plain,
% 7.80/7.91 (P8(f7(a4,f6(a4),a11),f10(a4))),
% 7.80/7.91 inference(scs_inference,[],[992,385,853,223,897,517,39,63,98])).
% 7.80/7.91 cnf(1036,plain,
% 7.80/7.91 (P2(f15(f13(a12),a12))),
% 7.80/7.91 inference(scs_inference,[],[992,787,1003,890,385,853,223,897,517,443,178,39,63,98,45,35,80])).
% 7.80/7.91 cnf(1040,plain,
% 7.80/7.91 (~E(a4,f10(a4))),
% 7.80/7.91 inference(scs_inference,[],[992,787,1001,1003,890,385,853,223,897,517,443,178,39,63,98,45,35,80,147,461])).
% 7.80/7.91 cnf(1046,plain,
% 7.80/7.91 (E(f15(a11,a12),f15(f13(a12),a12))),
% 7.80/7.91 inference(scs_inference,[],[992,787,1001,1003,890,385,847,799,591,927,853,223,741,897,726,517,164,225,168,694,443,178,39,63,98,45,35,80,147,461,48,81,82,136])).
% 7.80/7.91 cnf(1050,plain,
% 7.80/7.91 (E(f15(f13(a12),a12),f15(a11,a12))),
% 7.80/7.91 inference(scs_inference,[],[992,787,1001,1003,890,385,847,799,591,927,853,223,741,897,726,517,164,225,168,694,443,178,39,63,98,45,35,80,147,461,48,81,82,136,2])).
% 7.80/7.91 cnf(1051,plain,
% 7.80/7.91 (P14(f15(a11,a12),f13(a12))),
% 7.80/7.91 inference(scs_inference,[],[992,787,1001,1003,890,385,847,799,591,768,927,853,223,741,897,726,517,164,225,168,694,443,178,39,63,98,45,35,80,147,461,48,81,82,136,2,52])).
% 7.80/7.91 cnf(1079,plain,
% 7.80/7.91 (~P8(f10(a4),a4)),
% 7.80/7.91 inference(scs_inference,[],[73,1051,957,372,200,953,801,106,104,84,48,2,98])).
% 7.80/7.91 cnf(1083,plain,
% 7.80/7.91 (~P12(f9(a4),f7(f6(a4),f9(a4),a11),x10831)),
% 7.80/7.91 inference(scs_inference,[],[73,1051,530,851,957,372,200,953,801,106,104,84,48,2,98,52,120])).
% 7.80/7.91 cnf(1085,plain,
% 7.80/7.91 (~P15(f10(a4),f7(a4,f6(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[73,998,1051,530,851,957,372,200,953,801,106,104,84,48,2,98,52,120,93])).
% 7.80/7.91 cnf(1089,plain,
% 7.80/7.91 (~P12(f6(a4),a4,a11)),
% 7.80/7.91 inference(scs_inference,[],[73,998,1051,994,1040,530,906,851,957,372,316,200,953,801,68,443,106,104,84,48,2,98,52,120,93,147,134])).
% 7.80/7.91 cnf(1125,plain,
% 7.80/7.91 (P8(f6(a4),f6(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[783,251,612,927,888,703,90,45,98])).
% 7.80/7.91 cnf(1132,plain,
% 7.80/7.91 (P6(f9(a4),f13(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[783,251,1050,482,192,665,334,612,927,888,703,619,90,45,98,35,52,50,88])).
% 7.80/7.91 cnf(1154,plain,
% 7.80/7.91 (~P8(f9(a4),a4)),
% 7.80/7.91 inference(scs_inference,[],[902,358,98])).
% 7.80/7.91 cnf(1156,plain,
% 7.80/7.91 (P1(f13(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[1132,902,358,204,98,89])).
% 7.80/7.91 cnf(1184,plain,
% 7.80/7.91 (~P6(f15(f13(a12),a12),a11)),
% 7.80/7.91 inference(scs_inference,[],[78,1036,1154,538,98,89])).
% 7.80/7.91 cnf(1188,plain,
% 7.80/7.91 (~P15(f9(a4),a4)),
% 7.80/7.91 inference(scs_inference,[],[78,1036,1154,1085,538,98,89,120,93])).
% 7.80/7.91 cnf(1217,plain,
% 7.80/7.91 (~P6(f6(a4),a3)),
% 7.80/7.91 inference(scs_inference,[],[75,1083,1188,608,1125,588,387,418,174,68,239,130,42,94,63,132,96])).
% 7.80/7.91 cnf(1219,plain,
% 7.80/7.91 (P8(a4,f6(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[75,1083,1188,608,1125,588,387,358,418,174,68,239,130,42,94,63,132,96,98])).
% 7.80/7.91 cnf(1221,plain,
% 7.80/7.91 (~P6(f15(a11,a12),a11)),
% 7.80/7.91 inference(scs_inference,[],[75,1083,1184,1188,608,1125,588,387,358,1046,418,174,68,239,130,42,94,63,132,96,98,44])).
% 7.80/7.91 cnf(1247,plain,
% 7.80/7.91 (P15(a4,f6(f9(a4)))),
% 7.80/7.91 inference(scs_inference,[],[1219,608,221,239,130,94])).
% 7.80/7.91 cnf(1258,plain,
% 7.80/7.91 (P6(f15(a11,a12),f13(f15(a11,a12)))),
% 7.80/7.91 inference(scs_inference,[],[75,166,78,1219,591,608,67,452,1046,497,221,239,130,94,95,96,90,52,113,88])).
% 7.80/7.91 cnf(1264,plain,
% 7.80/7.91 (P12(f6(a4),f20(f6(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[75,166,78,1219,779,591,608,67,452,1050,1046,497,221,239,178,130,94,95,96,90,52,113,88,123,40,660,825])).
% 7.80/7.91 cnf(1276,plain,
% 7.80/7.91 (~P14(f20(f6(a4),a11),a11)),
% 7.80/7.91 inference(scs_inference,[],[1264,122])).
% 7.80/7.91 cnf(1280,plain,
% 7.80/7.91 (~P15(x12801,a12)),
% 7.80/7.91 inference(rename_variables,[],[332])).
% 7.80/7.91 cnf(1283,plain,
% 7.80/7.91 (P1(f13(f15(a11,a12)))),
% 7.80/7.91 inference(scs_inference,[],[78,1258,1264,1217,1247,332,1156,1089,927,225,122,33,63,45,35,89])).
% 7.80/7.91 cnf(1285,plain,
% 7.80/7.91 (~P12(x12851,a12,x12852)),
% 7.80/7.91 inference(scs_inference,[],[78,1258,1264,1217,1247,332,1280,1156,1089,927,225,122,33,63,45,35,89,120])).
% 7.80/7.91 cnf(1287,plain,
% 7.80/7.91 (~P15(f10(a4),a4)),
% 7.80/7.91 inference(scs_inference,[],[78,1258,1079,1264,1217,1247,332,1280,1156,1089,927,225,122,33,63,45,35,89,120,93])).
% 7.80/7.91 cnf(1305,plain,
% 7.80/7.91 (~P13(f6(a4),f17(a11,f9(a4),f10(a4)))+P6(f6(f6(a4)),a1)),
% 7.80/7.91 inference(scs_inference,[],[76,156,78,1258,1079,1264,1217,1247,332,1280,1156,307,416,1089,362,927,623,174,186,497,170,225,621,239,122,33,63,45,35,89,120,93,133,83,325,3,142,141,112,145,148,116])).
% 7.80/7.91 cnf(1317,plain,
% 7.80/7.91 (~P6(f15(f13(a12),a12),f13(a12))),
% 7.80/7.91 inference(scs_inference,[],[77,1285,1036,334,734,125,2,89])).
% 7.80/7.91 cnf(1322,plain,
% 7.80/7.91 (P8(f6(a4),f20(f6(a4),a11))),
% 7.80/7.91 inference(scs_inference,[],[77,166,1276,1285,1036,334,734,1264,125,2,89,52,120,93])).
% 7.80/7.91 cnf(1327,plain,
% 7.80/7.91 (P13(f6(a4),f17(a11,f9(a4),f10(a4)))),
% 7.80/7.91 inference(scs_inference,[],[77,166,1276,1285,1036,241,334,734,1264,239,178,125,2,89,52,120,93,105,311,133])).
% 7.80/7.91 cnf(1333,plain,
% 7.80/7.91 (~P8(f20(f6(a4),a11),f6(a4))+~E(a11,x13331)),
% 7.80/7.91 inference(scs_inference,[],[77,166,1276,1285,1036,241,712,334,953,734,1264,239,178,125,2,89,52,120,93,105,311,133,53,59,122,95])).
% 7.80/7.91 cnf(1354,plain,
% 7.80/7.91 (~P8(f20(f6(a4),a11),f6(a4))),
% 7.80/7.91 inference(equality_inference,[],[1333])).
% 7.80/7.91 cnf(1362,plain,
% 7.80/7.91 (P6(f6(f6(a4)),a1)),
% 7.80/7.91 inference(scs_inference,[],[1327,1305])).
% 7.80/7.91 cnf(1364,plain,
% 7.80/7.91 (P6(f9(f6(a4)),a22)),
% 7.80/7.91 inference(scs_inference,[],[1327,1354,416,186,239,461,117])).
% 7.80/7.91 cnf(1374,plain,
% 7.80/7.91 (~P12(f10(a4),a4,x13741)),
% 7.80/7.91 inference(scs_inference,[],[1283,1327,1317,1322,1354,1221,1287,1285,1258,416,372,302,1264,1046,186,239,461,117,90,45,35,98,44,120])).
% 7.80/7.91 cnf(1425,plain,
% 7.80/7.91 (P2(f9(f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[1374,1364,65,132,90])).
% 7.80/7.91 cnf(1428,plain,
% 7.80/7.91 (P11(f6(a4),f6(f6(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[1374,1364,1327,227,416,65,186,239,132,90,60,126])).
% 7.80/7.91 cnf(1456,plain,
% 7.80/7.91 (P12(f6(a4),f6(f6(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[1428,1362,1031,188,439,621,118,83,94,129,132])).
% 7.80/7.91 cnf(1463,plain,
% 7.80/7.91 (P15(f6(a4),f6(f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[163,1428,1362,1031,1188,251,490,188,387,439,621,118,83,94,129,132,96,63,90,120])).
% 7.80/7.91 cnf(1465,plain,
% 7.80/7.91 (P8(f6(a4),f6(f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[163,1428,1362,1031,1188,251,490,188,387,439,621,118,83,94,129,132,96,63,90,120,93])).
% 7.80/7.91 cnf(1491,plain,
% 7.80/7.91 (~P12(f9(a4),f6(f6(a4)),a11)),
% 7.80/7.91 inference(scs_inference,[],[1428,178,146])).
% 7.80/7.91 cnf(1524,plain,
% 7.80/7.91 (~P15(f9(a4),f6(f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[1491,1456,178,145])).
% 7.80/7.91 cnf(1563,plain,
% 7.80/7.91 (P8(a4,f6(f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[1425,1524,1465,184,314,302,358,1050,3,42,63,98])).
% 7.80/7.91 cnf(1657,plain,
% 7.80/7.91 (P15(a4,f6(f6(a4)))),
% 7.80/7.91 inference(scs_inference,[],[1563,1463,87,94])).
% 7.80/7.91 cnf(1927,plain,
% 7.80/7.91 (~E(f6(f6(a4)),f10(a4))),
% 7.80/7.91 inference(scs_inference,[],[172,196,1428,130,40])).
% 7.80/7.91 cnf(1973,plain,
% 7.80/7.91 ($false),
% 7.80/7.91 inference(scs_inference,[],[176,1927,1657,202,994,1362,1456,1327,1428,957,221,68,443,239,133,134,40,2,34,63,44]),
% 7.80/7.91 ['proof']).
% 7.80/7.91 % SZS output end Proof
% 7.80/7.91 % Total time :7.230000s
%------------------------------------------------------------------------------