TSTP Solution File: SET651+3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SET651+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n015.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 14:30:35 EDT 2023

% Result   : Theorem 203.44s 203.50s
% Output   : CNFRefutation 203.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SET651+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sat Aug 26 16:21:53 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.18/0.58  start to proof:theBenchmark
% 203.44/203.48  %-------------------------------------------
% 203.44/203.48  % File        :CSE---1.6
% 203.44/203.48  % Problem     :theBenchmark
% 203.44/203.48  % Transform   :cnf
% 203.44/203.48  % Format      :tptp:raw
% 203.44/203.48  % Command     :java -jar mcs_scs.jar %d %s
% 203.44/203.48  
% 203.44/203.48  % Result      :Theorem 202.770000s
% 203.44/203.48  % Output      :CNFRefutation 202.770000s
% 203.44/203.48  %-------------------------------------------
% 203.44/203.49  %------------------------------------------------------------------------------
% 203.44/203.49  % File     : SET651+3 : TPTP v8.1.2. Released v2.2.0.
% 203.44/203.49  % Domain   : Set Theory (Relations)
% 203.44/203.49  % Problem  : Domain of R (X to Y) a subset of X1 => R is (X1 to Y)
% 203.44/203.49  % Version  : [Wor90] axioms : Reduced > Incomplete.
% 203.44/203.49  % English  : If the domain of a relation R from X to Y is a subset of X1
% 203.44/203.49  %            then R is a relation from X1 to Y.
% 203.44/203.49  
% 203.44/203.49  % Refs     : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 203.44/203.49  %          : [Wor90] Woronowicz (1990), Relations Defined on Sets
% 203.44/203.49  % Source   : [ILF]
% 203.44/203.49  % Names    : RELSET_1 (13) [Wor90]
% 203.44/203.49  
% 203.44/203.49  % Status   : Theorem
% 203.44/203.49  % Rating   : 0.53 v8.1.0, 0.50 v7.5.0, 0.53 v7.4.0, 0.47 v7.3.0, 0.52 v7.2.0, 0.48 v7.1.0, 0.43 v7.0.0, 0.40 v6.4.0, 0.46 v6.2.0, 0.48 v6.1.0, 0.67 v6.0.0, 0.57 v5.5.0, 0.59 v5.4.0, 0.64 v5.3.0, 0.67 v5.2.0, 0.45 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.1, 0.57 v4.0.0, 0.54 v3.7.0, 0.55 v3.5.0, 0.58 v3.4.0, 0.47 v3.3.0, 0.36 v3.2.0, 0.55 v3.1.0, 0.44 v2.7.0, 0.50 v2.6.0, 0.43 v2.5.0, 0.50 v2.4.0, 0.75 v2.3.0, 0.67 v2.2.1
% 203.44/203.49  % Syntax   : Number of formulae    :   27 (   2 unt;   0 def)
% 203.44/203.49  %            Number of atoms       :  105 (   1 equ)
% 203.44/203.49  %            Maximal formula atoms :    7 (   3 avg)
% 203.44/203.49  %            Number of connectives :   82 (   4   ~;   0   |;  12   &)
% 203.44/203.49  %                                         (   8 <=>;  58  =>;   0  <=;   0 <~>)
% 203.44/203.49  %            Maximal formula depth :   11 (   6 avg)
% 203.44/203.49  %            Maximal term depth    :    3 (   1 avg)
% 203.44/203.49  %            Number of predicates  :    6 (   5 usr;   0 prp; 1-2 aty)
% 203.44/203.49  %            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
% 203.44/203.49  %            Number of variables   :   60 (  53   !;   7   ?)
% 203.44/203.49  % SPC      : FOF_THM_RFO_SEQ
% 203.44/203.49  
% 203.44/203.49  % Comments :
% 203.44/203.49  %------------------------------------------------------------------------------
% 203.44/203.49  %---- line(boole - th(29),1909428)
% 203.44/203.49  fof(p1,axiom,
% 203.44/203.49      ! [B] :
% 203.44/203.49        ( ilf_type(B,set_type)
% 203.44/203.49       => ! [C] :
% 203.44/203.49            ( ilf_type(C,set_type)
% 203.44/203.49           => ! [D] :
% 203.44/203.49                ( ilf_type(D,set_type)
% 203.44/203.49               => ( ( subset(B,C)
% 203.44/203.49                    & subset(C,D) )
% 203.44/203.49                 => subset(B,D) ) ) ) ) ).
% 203.44/203.49  
% 203.44/203.49  %---- line(relat_1 - th(21),1917997)
% 203.44/203.49  fof(p2,axiom,
% 203.44/203.49      ! [B] :
% 203.44/203.49        ( ilf_type(B,binary_relation_type)
% 203.44/203.49       => subset(B,cross_product(domain_of(B),range_of(B))) ) ).
% 203.44/203.49  
% 203.44/203.49  %---- line(zfmisc_1 - th(119),1905457)
% 203.44/203.49  fof(p3,axiom,
% 203.44/203.49      ! [B] :
% 203.44/203.49        ( ilf_type(B,set_type)
% 203.44/203.49       => ! [C] :
% 203.44/203.49            ( ilf_type(C,set_type)
% 203.44/203.49           => ! [D] :
% 203.44/203.49                ( ilf_type(D,set_type)
% 203.44/203.49               => ! [E] :
% 203.44/203.49                    ( ilf_type(E,set_type)
% 203.44/203.49                   => ( ( subset(B,C)
% 203.44/203.49                        & subset(D,E) )
% 203.44/203.49                     => subset(cross_product(B,D),cross_product(C,E)) ) ) ) ) ) ).
% 203.44/203.49  
% 203.44/203.49  %---- line(relset_1 - df(1),1916080)
% 203.44/203.49  fof(p4,axiom,
% 203.44/203.49      ! [B] :
% 203.44/203.49        ( ilf_type(B,set_type)
% 203.44/203.49       => ! [C] :
% 203.44/203.49            ( ilf_type(C,set_type)
% 203.44/203.49           => ( ! [D] :
% 203.44/203.50                  ( ilf_type(D,subset_type(cross_product(B,C)))
% 203.44/203.50                 => ilf_type(D,relation_type(B,C)) )
% 203.44/203.50              & ! [E] :
% 203.44/203.50                  ( ilf_type(E,relation_type(B,C))
% 203.44/203.50                 => ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- type_nonempty(line(relset_1 - df(1),1916080))
% 203.44/203.50  fof(p5,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ? [D] : ilf_type(D,relation_type(C,B)) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(relset_1 - th(12),1916203)
% 203.44/203.50  fof(p6,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ! [D] :
% 203.44/203.50                ( ilf_type(D,relation_type(B,C))
% 203.44/203.50               => ( subset(domain_of(D),B)
% 203.44/203.50                  & subset(range_of(D),C) ) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(relat_1 - df(4),1917872)
% 203.44/203.50  fof(p7,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,binary_relation_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ( member(C,domain_of(B))
% 203.44/203.50            <=> ? [D] :
% 203.44/203.50                  ( ilf_type(D,set_type)
% 203.44/203.50                  & member(ordered_pair(C,D),B) ) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- declaration(line(relat_1 - df(4),1917872))
% 203.44/203.50  fof(p8,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,binary_relation_type)
% 203.44/203.50       => ilf_type(domain_of(B),set_type) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(tarski - df(3),1832749)
% 203.44/203.50  fof(p9,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ( subset(B,C)
% 203.44/203.50            <=> ! [D] :
% 203.44/203.50                  ( ilf_type(D,set_type)
% 203.44/203.50                 => ( member(D,B)
% 203.44/203.50                   => member(D,C) ) ) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- declaration(op(cross_product,2,function))
% 203.44/203.50  fof(p10,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ilf_type(cross_product(B,C),set_type) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- declaration(op(range_of,1,function))
% 203.44/203.50  fof(p11,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,binary_relation_type)
% 203.44/203.50       => ilf_type(range_of(B),set_type) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- declaration(op(ordered_pair,2,function))
% 203.44/203.50  fof(p12,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ilf_type(ordered_pair(B,C),set_type) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(relat_1 - axiom97,1917641)
% 203.44/203.50  fof(p13,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ( ilf_type(B,binary_relation_type)
% 203.44/203.50        <=> ( relation_like(B)
% 203.44/203.50            & ilf_type(B,set_type) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- type_nonempty(line(relat_1 - axiom97,1917641))
% 203.44/203.50  fof(p14,axiom,
% 203.44/203.50      ? [B] : ilf_type(B,binary_relation_type) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(hidden - axiom98,1832648)
% 203.44/203.50  fof(p15,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ( ilf_type(C,subset_type(B))
% 203.44/203.50            <=> ilf_type(C,member_type(power_set(B))) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- type_nonempty(line(hidden - axiom98,1832648))
% 203.44/203.50  fof(p16,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ? [C] : ilf_type(C,subset_type(B)) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- property(reflexivity,op(subset,2,predicate))
% 203.44/203.50  fof(p17,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => subset(B,B) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(hidden - axiom100,1832644)
% 203.44/203.50  fof(p18,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ( member(B,power_set(C))
% 203.44/203.50            <=> ! [D] :
% 203.44/203.50                  ( ilf_type(D,set_type)
% 203.44/203.50                 => ( member(D,B)
% 203.44/203.50                   => member(D,C) ) ) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- declaration(line(hidden - axiom100,1832644))
% 203.44/203.50  fof(p19,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ( ~ empty(power_set(B))
% 203.44/203.50          & ilf_type(power_set(B),set_type) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(hidden - axiom101,1832640)
% 203.44/203.50  fof(p20,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ( ~ empty(C)
% 203.44/203.50              & ilf_type(C,set_type) )
% 203.44/203.50           => ( ilf_type(B,member_type(C))
% 203.44/203.50            <=> member(B,C) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- type_nonempty(line(hidden - axiom101,1832640))
% 203.44/203.50  fof(p21,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ( ~ empty(B)
% 203.44/203.50          & ilf_type(B,set_type) )
% 203.44/203.50       => ? [C] : ilf_type(C,member_type(B)) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(relat_1 - df(1),1917627)
% 203.44/203.50  fof(p22,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ( relation_like(B)
% 203.44/203.50        <=> ! [C] :
% 203.44/203.50              ( ilf_type(C,set_type)
% 203.44/203.50             => ( member(C,B)
% 203.44/203.50               => ? [D] :
% 203.44/203.50                    ( ilf_type(D,set_type)
% 203.44/203.50                    & ? [E] :
% 203.44/203.50                        ( ilf_type(E,set_type)
% 203.44/203.50                        & C = ordered_pair(D,E) ) ) ) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- conditional_cluster(axiom103,relation_like)
% 203.44/203.50  fof(p23,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ! [D] :
% 203.44/203.50                ( ilf_type(D,subset_type(cross_product(B,C)))
% 203.44/203.50               => relation_like(D) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(hidden - axiom104,1832628)
% 203.44/203.50  fof(p24,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ( empty(B)
% 203.44/203.50        <=> ! [C] :
% 203.44/203.50              ( ilf_type(C,set_type)
% 203.44/203.50             => ~ member(C,B) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- conditional_cluster(axiom105,empty)
% 203.44/203.50  fof(p25,axiom,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ( empty(B)
% 203.44/203.50          & ilf_type(B,set_type) )
% 203.44/203.50       => relation_like(B) ) ).
% 203.44/203.50  
% 203.44/203.50  %---- declaration(set)
% 203.44/203.50  fof(p26,axiom,
% 203.44/203.50      ! [B] : ilf_type(B,set_type) ).
% 203.44/203.50  
% 203.44/203.50  %---- line(relset_1 - th(13),1916220)
% 203.44/203.50  fof(prove_relset_1_13,conjecture,
% 203.44/203.50      ! [B] :
% 203.44/203.50        ( ilf_type(B,set_type)
% 203.44/203.50       => ! [C] :
% 203.44/203.50            ( ilf_type(C,set_type)
% 203.44/203.50           => ! [D] :
% 203.44/203.50                ( ilf_type(D,set_type)
% 203.44/203.50               => ! [E] :
% 203.44/203.50                    ( ilf_type(E,relation_type(B,D))
% 203.44/203.50                   => ( subset(domain_of(E),C)
% 203.44/203.50                     => ilf_type(E,relation_type(C,D)) ) ) ) ) ) ).
% 203.44/203.50  
% 203.44/203.50  %------------------------------------------------------------------------------
% 203.44/203.50  %-------------------------------------------
% 203.44/203.50  % Proof found
% 203.44/203.50  % SZS status Theorem for theBenchmark
% 203.44/203.50  % SZS output start Proof
% 203.44/203.50  %ClaNum:91(EqnAxiom:38)
% 203.44/203.50  %VarNum:207(SingletonVarNum:69)
% 203.44/203.50  %MaxLitNum:7
% 203.44/203.50  %MaxfuncDepth:2
% 203.44/203.50  %SharedTerms:17
% 203.44/203.50  %goalClause: 44 45 46
% 203.44/203.50  %singleGoalClaCount:3
% 203.44/203.50  [39]P1(a1,a2)
% 203.44/203.50  [44]P3(f4(a10),a8)
% 203.44/203.50  [45]P1(a10,f15(a3,a9))
% 203.44/203.50  [46]~P1(a10,f15(a8,a9))
% 203.44/203.50  [43]P1(x431,a14)
% 203.44/203.50  [48]P3(x481,x481)+~P1(x481,a14)
% 203.44/203.50  [49]~P1(x491,a14)+~P2(f16(x491))
% 203.44/203.50  [59]~P1(x591,a14)+P1(f17(x591),f25(x591))
% 203.44/203.50  [64]~P1(x641,a2)+P3(x641,f5(f4(x641),f24(x641)))
% 203.44/203.50  [47]~P2(x471)+P4(x471)+~P1(x471,a14)
% 203.44/203.50  [53]~P4(x531)+~P1(x531,a14)+P1(x531,a2)
% 203.44/203.50  [56]P4(x561)+~P1(x561,a14)+~P1(x561,a2)
% 203.44/203.50  [57]P4(x571)+P5(f6(x571),x571)+~P1(x571,a14)
% 203.44/203.50  [58]P2(x581)+P5(f7(x581),x581)+~P1(x581,a14)
% 203.44/203.50  [60]P2(x601)+P1(f18(x601),f20(x601))+~P1(x601,a14)
% 203.44/203.50  [73]~P1(x732,a14)+~P1(x731,a14)+P1(f12(x731,x732),f15(x732,x731))
% 203.44/203.50  [61]~P2(x611)+~P5(x612,x611)+~P1(x612,a14)+~P1(x611,a14)
% 203.44/203.50  [69]P3(x691,x692)+P5(f11(x691,x692),x691)+~P1(x692,a14)+~P1(x691,a14)
% 203.44/203.50  [71]P5(f19(x711,x712),x711)+~P1(x712,a14)+~P1(x711,a14)+P5(x711,f16(x712))
% 203.44/203.50  [78]P3(x781,x782)+~P1(x782,a14)+~P1(x781,a14)+~P5(f11(x781,x782),x782)
% 203.44/203.50  [81]~P1(x812,a14)+~P1(x811,a14)+~P5(f19(x811,x812),x812)+P5(x811,f16(x812))
% 203.44/203.50  [72]~P1(x722,a14)+~P1(x721,a14)+~P1(x721,f25(x722))+P1(x721,f20(f16(x722)))
% 203.44/203.50  [77]~P1(x772,a14)+~P1(x771,a14)+P1(x771,f25(x772))+~P1(x771,f20(f16(x772)))
% 203.44/203.50  [88]~P1(x882,a2)+~P1(x881,a14)+~P5(x881,f4(x882))+P5(f23(x881,f13(x882,x881)),x882)
% 203.44/203.50  [82]~P1(x822,a14)+~P1(x821,f15(x822,x823))+P3(f4(x821),x822)+~P1(x823,a14)
% 203.44/203.50  [83]~P1(x832,a14)+~P1(x831,f15(x833,x832))+P3(f24(x831),x832)+~P1(x833,a14)
% 203.44/203.50  [87]P4(x871)+~P1(x872,a14)+~P1(x873,a14)+~P1(x871,f25(f5(x873,x872)))
% 203.44/203.50  [89]~P1(x893,a14)+~P1(x892,a14)+~P1(x891,f15(x892,x893))+P1(x891,f25(f5(x892,x893)))
% 203.44/203.50  [91]~P1(x913,a14)+~P1(x912,a14)+P1(x911,f15(x912,x913))+~P1(x911,f25(f5(x912,x913)))
% 203.44/203.50  [65]~P5(x652,x651)+P2(x651)+~P1(x651,a14)+~P1(x652,a14)+P1(x652,f20(x651))
% 203.44/203.50  [66]P2(x661)+P5(x662,x661)+~P1(x661,a14)+~P1(x662,a14)+~P1(x662,f20(x661))
% 203.44/203.50  [85]~P4(x851)+~P5(x852,x851)+~P1(x851,a14)+~P1(x852,a14)+E(f23(f21(x851,x852),f22(x851,x852)),x852)
% 203.44/203.50  [68]P4(x681)+~P1(x681,a14)+~P1(x683,a14)+~P1(x682,a14)+~E(f6(x681),f23(x682,x683))
% 203.44/203.50  [86]~P1(x862,a2)+~P1(x861,a14)+~P5(f23(x861,x863),x862)+P5(x861,f4(x862))+~P1(x863,a14)
% 203.44/203.50  [79]~P3(x791,x793)+P3(x791,x792)+~P3(x793,x792)+~P1(x792,a14)+~P1(x793,a14)+~P1(x791,a14)
% 203.44/203.50  [80]~P5(x801,x803)+P5(x801,x802)+~P3(x803,x802)+~P1(x801,a14)+~P1(x802,a14)+~P1(x803,a14)
% 203.44/203.50  [84]P5(x841,x842)+~P5(x841,x843)+~P1(x841,a14)+~P1(x842,a14)+~P1(x843,a14)+~P5(x843,f16(x842))
% 203.44/203.50  [90]~P3(x902,x904)+~P3(x901,x903)+~P1(x904,a14)+~P1(x902,a14)+~P1(x903,a14)+~P1(x901,a14)+P3(f5(x901,x902),f5(x903,x904))
% 203.44/203.50  %EqnAxiom
% 203.44/203.50  [1]E(x11,x11)
% 203.44/203.50  [2]E(x22,x21)+~E(x21,x22)
% 203.44/203.50  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 203.44/203.50  [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 203.44/203.50  [5]~E(x51,x52)+E(f15(x51,x53),f15(x52,x53))
% 203.44/203.50  [6]~E(x61,x62)+E(f15(x63,x61),f15(x63,x62))
% 203.44/203.50  [7]~E(x71,x72)+E(f25(x71),f25(x72))
% 203.44/203.50  [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 203.44/203.51  [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 203.44/203.51  [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 203.44/203.51  [11]~E(x111,x112)+E(f24(x111),f24(x112))
% 203.44/203.51  [12]~E(x121,x122)+E(f21(x121,x123),f21(x122,x123))
% 203.44/203.51  [13]~E(x131,x132)+E(f21(x133,x131),f21(x133,x132))
% 203.44/203.51  [14]~E(x141,x142)+E(f6(x141),f6(x142))
% 203.44/203.51  [15]~E(x151,x152)+E(f7(x151),f7(x152))
% 203.44/203.51  [16]~E(x161,x162)+E(f23(x161,x163),f23(x162,x163))
% 203.44/203.51  [17]~E(x171,x172)+E(f23(x173,x171),f23(x173,x172))
% 203.44/203.51  [18]~E(x181,x182)+E(f20(x181),f20(x182))
% 203.44/203.51  [19]~E(x191,x192)+E(f17(x191),f17(x192))
% 203.44/203.51  [20]~E(x201,x202)+E(f13(x201,x203),f13(x202,x203))
% 203.44/203.51  [21]~E(x211,x212)+E(f13(x213,x211),f13(x213,x212))
% 203.44/203.51  [22]~E(x221,x222)+E(f18(x221),f18(x222))
% 203.44/203.51  [23]~E(x231,x232)+E(f19(x231,x233),f19(x232,x233))
% 203.44/203.51  [24]~E(x241,x242)+E(f19(x243,x241),f19(x243,x242))
% 203.44/203.51  [25]~E(x251,x252)+E(f11(x251,x253),f11(x252,x253))
% 203.44/203.51  [26]~E(x261,x262)+E(f11(x263,x261),f11(x263,x262))
% 203.44/203.51  [27]~E(x271,x272)+E(f22(x271,x273),f22(x272,x273))
% 203.44/203.51  [28]~E(x281,x282)+E(f22(x283,x281),f22(x283,x282))
% 203.44/203.51  [29]~E(x291,x292)+E(f12(x291,x293),f12(x292,x293))
% 203.44/203.51  [30]~E(x301,x302)+E(f12(x303,x301),f12(x303,x302))
% 203.44/203.51  [31]P1(x312,x313)+~E(x311,x312)+~P1(x311,x313)
% 203.44/203.51  [32]P1(x323,x322)+~E(x321,x322)+~P1(x323,x321)
% 203.44/203.51  [33]P3(x332,x333)+~E(x331,x332)+~P3(x331,x333)
% 203.44/203.51  [34]P3(x343,x342)+~E(x341,x342)+~P3(x343,x341)
% 203.44/203.51  [35]P5(x352,x353)+~E(x351,x352)+~P5(x351,x353)
% 203.44/203.51  [36]P5(x363,x362)+~E(x361,x362)+~P5(x363,x361)
% 203.44/203.51  [37]~P2(x371)+P2(x372)+~E(x371,x372)
% 203.44/203.51  [38]~P4(x381)+P4(x382)+~E(x381,x382)
% 203.44/203.51  
% 203.44/203.51  %-------------------------------------------
% 203.51/203.52  cnf(92,plain,
% 203.51/203.52     (P3(x921,x921)),
% 203.51/203.52     inference(scs_inference,[],[43,48])).
% 203.51/203.52  cnf(94,plain,
% 203.51/203.52     (P1(x941,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(96,plain,
% 203.51/203.52     (P1(x961,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(99,plain,
% 203.51/203.52     (~P2(f16(x991))),
% 203.51/203.52     inference(scs_inference,[],[43,94,96,39,46,48,32,56,2,49])).
% 203.51/203.52  cnf(101,plain,
% 203.51/203.52     (P3(a1,f5(f4(a1),f24(a1)))),
% 203.51/203.52     inference(scs_inference,[],[43,94,96,39,46,48,32,56,2,49,64])).
% 203.51/203.52  cnf(103,plain,
% 203.51/203.52     (P1(f17(x1031),f25(x1031))),
% 203.51/203.52     inference(scs_inference,[],[43,94,96,39,46,48,32,56,2,49,64,59])).
% 203.51/203.52  cnf(106,plain,
% 203.51/203.52     (P1(f12(x1061,x1061),f15(x1061,x1061))),
% 203.51/203.52     inference(scs_inference,[],[43,94,96,39,46,48,32,56,2,49,64,59,38,73])).
% 203.51/203.52  cnf(108,plain,
% 203.51/203.52     (P3(f24(f12(x1081,x1081)),x1081)),
% 203.51/203.52     inference(scs_inference,[],[43,94,96,39,46,48,32,56,2,49,64,59,38,73,83])).
% 203.51/203.52  cnf(110,plain,
% 203.51/203.52     (P3(f4(f12(x1101,x1101)),x1101)),
% 203.51/203.52     inference(scs_inference,[],[43,94,96,39,46,48,32,56,2,49,64,59,38,73,83,82])).
% 203.51/203.52  cnf(119,plain,
% 203.51/203.52     (~E(a1,x1191)+P4(x1192)+~P1(x1192,f25(f5(x1191,x1191)))),
% 203.51/203.52     inference(scs_inference,[],[43,94,96,39,46,48,32,56,2,49,64,59,38,73,83,82,37,53,58,60,87])).
% 203.51/203.52  cnf(140,plain,
% 203.51/203.52     (~P1(x1401,f25(f5(a1,a1)))+P4(x1401)),
% 203.51/203.52     inference(equality_inference,[],[119])).
% 203.51/203.52  cnf(147,plain,
% 203.51/203.52     (P1(f17(x1471),f25(x1471))),
% 203.51/203.52     inference(rename_variables,[],[103])).
% 203.51/203.52  cnf(149,plain,
% 203.51/203.52     (P5(f7(f16(x1491)),f16(x1491))),
% 203.51/203.52     inference(scs_inference,[],[43,103,99,140,58])).
% 203.51/203.52  cnf(150,plain,
% 203.51/203.52     (P1(x1501,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(153,plain,
% 203.51/203.52     (P1(f17(x1531),f25(x1531))),
% 203.51/203.52     inference(rename_variables,[],[103])).
% 203.51/203.52  cnf(155,plain,
% 203.51/203.52     (P1(f12(x1551,x1551),f25(f5(x1551,x1551)))),
% 203.51/203.52     inference(scs_inference,[],[43,150,106,103,147,99,140,58,91,89])).
% 203.51/203.52  cnf(156,plain,
% 203.51/203.52     (P1(x1561,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(157,plain,
% 203.51/203.52     (P1(x1571,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(159,plain,
% 203.51/203.52     (~E(f15(a3,a9),f15(a8,a9))),
% 203.51/203.52     inference(scs_inference,[],[45,43,150,46,106,103,147,99,140,58,91,89,32])).
% 203.51/203.52  cnf(160,plain,
% 203.51/203.52     (P1(f12(x1601,x1602),f15(x1602,x1601))),
% 203.51/203.52     inference(scs_inference,[],[45,43,150,157,156,46,106,103,147,99,140,58,91,89,32,73])).
% 203.51/203.52  cnf(162,plain,
% 203.51/203.52     (P1(f18(f16(x1621)),f20(f16(x1621)))),
% 203.51/203.52     inference(scs_inference,[],[45,43,150,157,156,46,106,103,147,99,140,58,91,89,32,73,60])).
% 203.51/203.52  cnf(163,plain,
% 203.51/203.52     (P1(x1631,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(165,plain,
% 203.51/203.52     (P3(f24(a10),a9)),
% 203.51/203.52     inference(scs_inference,[],[45,43,150,157,163,156,46,106,103,147,99,140,58,91,89,32,73,60,83])).
% 203.51/203.52  cnf(166,plain,
% 203.51/203.52     (P1(x1661,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(167,plain,
% 203.51/203.52     (P1(x1671,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(170,plain,
% 203.51/203.52     (P1(x1701,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(172,plain,
% 203.51/203.52     (P1(f17(x1721),f20(f16(x1721)))),
% 203.51/203.52     inference(scs_inference,[],[45,43,150,157,163,166,170,156,167,46,106,103,147,153,99,140,58,91,89,32,73,60,83,77,72])).
% 203.51/203.52  cnf(173,plain,
% 203.51/203.52     (P1(x1731,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(174,plain,
% 203.51/203.52     (P1(f17(x1741),f25(x1741))),
% 203.51/203.52     inference(rename_variables,[],[103])).
% 203.51/203.52  cnf(176,plain,
% 203.51/203.52     (~E(a3,a8)),
% 203.51/203.52     inference(scs_inference,[],[45,43,150,157,163,166,170,156,167,46,106,103,147,153,99,140,58,91,89,32,73,60,83,77,72,5])).
% 203.51/203.52  cnf(177,plain,
% 203.51/203.52     (~P1(x1771,f15(a8,a9))+~E(x1771,a10)),
% 203.51/203.52     inference(scs_inference,[],[45,43,150,157,163,166,170,156,167,46,106,103,147,153,99,140,58,91,89,32,73,60,83,77,72,5,31])).
% 203.51/203.52  cnf(179,plain,
% 203.51/203.52     (P1(x1791,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(180,plain,
% 203.51/203.52     (P1(x1801,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(182,plain,
% 203.51/203.52     (P4(f17(f5(x1821,x1821)))),
% 203.51/203.52     inference(scs_inference,[],[44,45,43,150,157,163,166,170,173,179,156,167,46,106,103,147,153,174,99,140,58,91,89,32,73,60,83,77,72,5,31,90,87])).
% 203.51/203.52  cnf(185,plain,
% 203.51/203.52     (P3(f4(a10),a3)),
% 203.51/203.52     inference(scs_inference,[],[44,45,43,150,157,163,166,170,173,179,156,167,180,46,106,103,147,153,174,99,140,58,91,89,32,73,60,83,77,72,5,31,90,87,82])).
% 203.51/203.52  cnf(186,plain,
% 203.51/203.52     (P1(x1861,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(187,plain,
% 203.51/203.52     (P1(x1871,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(193,plain,
% 203.51/203.52     (P5(x1931,f16(x1931))+P5(f19(x1931,x1931),x1931)),
% 203.51/203.52     inference(scs_inference,[],[44,45,43,150,157,163,166,170,173,179,186,156,167,180,187,46,106,103,147,153,174,99,140,58,91,89,32,73,60,83,77,72,5,31,90,87,82,78,69,71])).
% 203.51/203.52  cnf(195,plain,
% 203.51/203.52     (P1(f7(f16(a8)),f20(f16(a8)))),
% 203.51/203.52     inference(scs_inference,[],[44,45,43,150,157,163,166,170,173,179,186,156,167,180,187,46,106,103,147,153,174,99,140,58,91,89,32,73,60,83,77,72,5,31,90,87,82,78,69,71,65])).
% 203.51/203.52  cnf(208,plain,
% 203.51/203.52     (P1(x2081,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(210,plain,
% 203.51/203.52     (P4(f12(x2101,x2101))),
% 203.51/203.52     inference(scs_inference,[],[43,208,155,182,53,87])).
% 203.51/203.52  cnf(211,plain,
% 203.51/203.52     (P1(x2111,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(212,plain,
% 203.51/203.52     (P1(x2121,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(215,plain,
% 203.51/203.52     (P1(x2151,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(216,plain,
% 203.51/203.52     (P1(x2161,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(218,plain,
% 203.51/203.52     (~E(f12(a9,a8),a10)),
% 203.51/203.52     inference(scs_inference,[],[43,208,212,211,155,160,182,195,53,87,77,177])).
% 203.51/203.52  cnf(221,plain,
% 203.51/203.52     (P5(f18(f16(x2211)),f16(x2211))),
% 203.51/203.52     inference(scs_inference,[],[43,208,212,215,211,216,155,160,162,182,195,159,99,53,87,77,177,3,66])).
% 203.51/203.52  cnf(222,plain,
% 203.51/203.52     (P1(x2221,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(223,plain,
% 203.51/203.52     (P1(x2231,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(224,plain,
% 203.51/203.52     (~P2(f16(x2241))),
% 203.51/203.52     inference(rename_variables,[],[99])).
% 203.51/203.52  cnf(226,plain,
% 203.51/203.52     (P1(f7(f16(x2261)),f20(f16(x2261)))),
% 203.51/203.52     inference(scs_inference,[],[43,208,212,215,223,211,216,222,155,149,160,162,182,195,159,99,224,53,87,77,177,3,66,65])).
% 203.51/203.52  cnf(280,plain,
% 203.51/203.52     (P3(x2801,x2802)+~E(x2801,x2802)),
% 203.51/203.52     inference(scs_inference,[],[92,43,218,2,57,84,34])).
% 203.51/203.52  cnf(281,plain,
% 203.51/203.52     (P3(f5(f4(a10),a3),f5(a3,a3))+~P1(f4(a10),a14)),
% 203.51/203.52     inference(scs_inference,[],[92,43,185,218,2,57,84,34,90])).
% 203.51/203.52  cnf(287,plain,
% 203.51/203.52     (P5(f18(f16(x2871)),x2872)+~E(f16(x2871),x2872)),
% 203.51/203.52     inference(scs_inference,[],[92,43,185,218,221,2,57,84,34,90,36])).
% 203.51/203.52  cnf(309,plain,
% 203.51/203.52     (P1(x3091,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(310,plain,
% 203.51/203.52     (P5(x3101,f16(x3101))+~P5(f19(x3101,x3101),x3101)),
% 203.51/203.52     inference(scs_inference,[],[43,309,281,81])).
% 203.51/203.52  cnf(325,plain,
% 203.51/203.52     (P1(f12(x3251,x3251),a2)),
% 203.51/203.52     inference(scs_inference,[],[43,210,53])).
% 203.51/203.52  cnf(326,plain,
% 203.51/203.52     (P1(x3261,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(333,plain,
% 203.51/203.52     (P1(f7(f16(x3331)),f25(x3331))+~P1(x3331,a14)),
% 203.51/203.52     inference(scs_inference,[],[39,43,326,210,226,176,53,88,2,61,77])).
% 203.51/203.52  cnf(336,plain,
% 203.51/203.52     (P1(f7(f16(x3361)),f25(x3361))),
% 203.51/203.52     inference(scs_inference,[],[43,333])).
% 203.51/203.52  cnf(340,plain,
% 203.51/203.52     (P5(f17(x3401),f16(x3401))+~P1(f17(x3401),a14)),
% 203.51/203.52     inference(scs_inference,[],[43,172,99,333,68,66])).
% 203.51/203.52  cnf(344,plain,
% 203.51/203.52     (P5(f17(x3441),f16(x3441))),
% 203.51/203.52     inference(scs_inference,[],[43,340])).
% 203.51/203.52  cnf(345,plain,
% 203.51/203.52     (P1(x3451,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(347,plain,
% 203.51/203.52     (P1(x3471,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(349,plain,
% 203.51/203.52     (~E(x3491,a8)+~P1(a10,f25(f5(a8,a9)))),
% 203.51/203.52     inference(scs_inference,[],[43,345,347,46,340,91,31])).
% 203.51/203.52  cnf(357,plain,
% 203.51/203.52     (~P1(a10,f25(f5(a8,a9)))),
% 203.51/203.52     inference(equality_inference,[],[349])).
% 203.51/203.52  cnf(375,plain,
% 203.51/203.52     (~E(f15(a3,a9),f25(f5(a8,a9)))),
% 203.51/203.52     inference(scs_inference,[],[357,45,32])).
% 203.51/203.52  cnf(398,plain,
% 203.51/203.52     (~E(f25(f5(a8,a9)),f15(a3,a9))),
% 203.51/203.52     inference(scs_inference,[],[375,344,35,2])).
% 203.51/203.52  cnf(406,plain,
% 203.51/203.52     (~E(x4061,x4062)+E(f4(x4062),f4(x4061))),
% 203.51/203.52     inference(scs_inference,[],[4,2])).
% 203.51/203.52  cnf(409,plain,
% 203.51/203.52     (P1(f17(x4091),f25(x4091))),
% 203.51/203.52     inference(rename_variables,[],[103])).
% 203.51/203.52  cnf(410,plain,
% 203.51/203.52     (P1(f17(x4101),x4102)+~E(f25(x4101),x4102)),
% 203.51/203.52     inference(scs_inference,[],[103,409,357,31,32])).
% 203.51/203.52  cnf(418,plain,
% 203.51/203.52     (P1(x4181,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(419,plain,
% 203.51/203.52     (P1(x4191,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(420,plain,
% 203.51/203.52     (P1(x4201,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(423,plain,
% 203.51/203.52     (P3(f24(f12(a1,a1)),f5(f4(a1),f24(a1)))),
% 203.51/203.52     inference(scs_inference,[],[101,108,165,92,43,420,419,418,90,79])).
% 203.51/203.52  cnf(459,plain,
% 203.51/203.52     (P1(x4591,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(460,plain,
% 203.51/203.52     (P1(x4601,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(462,plain,
% 203.51/203.52     (P3(f5(f24(a10),a9),f5(a9,a9))),
% 203.51/203.52     inference(scs_inference,[],[165,344,92,43,460,459,84,90])).
% 203.51/203.52  cnf(497,plain,
% 203.51/203.52     (~P5(f24(f12(x4971,x4971)),f24(f12(x4971,x4971)))+P5(f24(f12(x4971,x4971)),x4971)+~P1(x4971,a14)),
% 203.51/203.52     inference(scs_inference,[],[108,43,80])).
% 203.51/203.52  cnf(520,plain,
% 203.51/203.52     (P5(f7(f16(x5201)),x5202)+~E(f16(x5201),x5202)),
% 203.51/203.52     inference(scs_inference,[],[149,36])).
% 203.51/203.52  cnf(551,plain,
% 203.51/203.52     (P5(x5511,x5512)+~P5(f18(f16(x5512)),f18(f16(x5512)))+~E(f18(f16(x5512)),x5511)+~P1(x5512,a14)),
% 203.51/203.52     inference(scs_inference,[],[221,43,84,35])).
% 203.51/203.52  cnf(673,plain,
% 203.51/203.52     (~E(f18(f16(x6731)),x6732)+~P5(f18(f16(x6731)),f18(f16(x6731)))+P5(x6732,x6731)),
% 203.51/203.52     inference(scs_inference,[],[43,551])).
% 203.51/203.52  cnf(699,plain,
% 203.51/203.52     (P5(f18(f16(x6991)),x6991)+~P5(f18(f16(x6991)),f18(f16(x6991)))),
% 203.51/203.52     inference(equality_inference,[],[673])).
% 203.51/203.52  cnf(708,plain,
% 203.51/203.52     (~P5(x7081,f4(a10))+P5(f4(a10),a3)+~E(x7081,f4(a10))+~P1(a3,a14)),
% 203.51/203.52     inference(scs_inference,[],[185,226,43,80,31,32,35])).
% 203.51/203.52  cnf(715,plain,
% 203.51/203.52     (P5(f4(a10),a3)+~E(x7151,f4(a10))+~P5(x7151,f4(a10))),
% 203.51/203.52     inference(scs_inference,[],[43,708])).
% 203.51/203.52  cnf(766,plain,
% 203.51/203.52     (~P1(a9,a14)+P1(a10,f25(f5(a3,a9)))),
% 203.51/203.52     inference(scs_inference,[],[45,43,89])).
% 203.51/203.52  cnf(776,plain,
% 203.51/203.52     (P1(a10,f25(f5(a3,a9)))),
% 203.51/203.52     inference(scs_inference,[],[43,766])).
% 203.51/203.52  cnf(788,plain,
% 203.51/203.52     (P1(x7881,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(790,plain,
% 203.51/203.52     (P4(a10)+~E(x7901,a3)),
% 203.51/203.52     inference(scs_inference,[],[776,43,788,87,31])).
% 203.51/203.52  cnf(791,plain,
% 203.51/203.52     (P4(a10)),
% 203.51/203.52     inference(equality_inference,[],[790])).
% 203.51/203.52  cnf(793,plain,
% 203.51/203.52     (P1(a10,a2)),
% 203.51/203.52     inference(scs_inference,[],[791,43,53])).
% 203.51/203.52  cnf(794,plain,
% 203.51/203.52     (P1(x7941,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(797,plain,
% 203.51/203.52     (P3(a10,f5(f4(a10),f24(a10)))),
% 203.51/203.52     inference(scs_inference,[],[357,791,43,53,32,64])).
% 203.51/203.52  cnf(799,plain,
% 203.51/203.52     (~P5(x7991,f4(a10))+P5(f23(x7991,f13(a10,x7991)),a10)),
% 203.51/203.52     inference(scs_inference,[],[357,791,43,794,53,32,64,88])).
% 203.51/203.52  cnf(861,plain,
% 203.51/203.52     (P1(f7(f16(x8611)),x8612)+~E(f25(x8611),x8612)),
% 203.51/203.52     inference(scs_inference,[],[336,32])).
% 203.51/203.52  cnf(902,plain,
% 203.51/203.52     (P1(x9021,f25(f5(x9022,x9022)))+~E(f12(x9022,x9022),x9021)),
% 203.51/203.52     inference(scs_inference,[],[398,155,3,31])).
% 203.51/203.52  cnf(908,plain,
% 203.51/203.52     (~E(a2,f15(a8,a9))),
% 203.51/203.52     inference(scs_inference,[],[423,793,46,43,80,32])).
% 203.51/203.52  cnf(909,plain,
% 203.51/203.52     (~E(f15(a8,a9),a2)),
% 203.51/203.52     inference(scs_inference,[],[908,2])).
% 203.51/203.52  cnf(922,plain,
% 203.51/203.52     (P5(x9221,f16(x9221))),
% 203.51/203.52     inference(scs_inference,[],[193,310])).
% 203.51/203.52  cnf(923,plain,
% 203.51/203.52     (P5(x9231,f16(x9232))+~E(x9232,x9231)),
% 203.51/203.52     inference(scs_inference,[],[922,35])).
% 203.51/203.52  cnf(924,plain,
% 203.51/203.52     (P1(x9241,f20(f16(x9241)))+~P1(f16(x9241),a14)),
% 203.51/203.52     inference(scs_inference,[],[922,99,43,35,65])).
% 203.51/203.52  cnf(928,plain,
% 203.51/203.52     (P5(x9281,x9282)+~E(f16(x9281),x9282)),
% 203.51/203.52     inference(scs_inference,[],[922,99,43,35,65,36])).
% 203.51/203.52  cnf(934,plain,
% 203.51/203.52     (P1(x9341,f20(f16(x9341)))),
% 203.51/203.52     inference(scs_inference,[],[43,924])).
% 203.51/203.52  cnf(969,plain,
% 203.51/203.52     (P1(x9691,f25(x9691))),
% 203.51/203.52     inference(scs_inference,[],[934,43,77])).
% 203.51/203.52  cnf(970,plain,
% 203.51/203.52     (P1(x9701,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(971,plain,
% 203.51/203.52     (P1(x9711,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(973,plain,
% 203.51/203.52     (~E(f20(f16(a10)),f15(a8,a9))),
% 203.51/203.52     inference(scs_inference,[],[934,46,43,77,32])).
% 203.51/203.52  cnf(975,plain,
% 203.51/203.52     (P5(x9751,f16(x9752))+~P5(f19(x9751,x9752),x9752)),
% 203.51/203.52     inference(scs_inference,[],[934,46,43,971,970,77,32,81])).
% 203.51/203.52  cnf(1014,plain,
% 203.51/203.52     (P1(x10141,f25(x10141))),
% 203.51/203.52     inference(rename_variables,[],[969])).
% 203.51/203.52  cnf(1016,plain,
% 203.51/203.52     (P1(f5(x10161,x10161),f15(x10161,x10161))),
% 203.51/203.52     inference(scs_inference,[],[969,1014,43,140,91])).
% 203.51/203.52  cnf(1017,plain,
% 203.51/203.52     (P1(x10171,f25(x10171))),
% 203.51/203.52     inference(rename_variables,[],[969])).
% 203.51/203.52  cnf(1019,plain,
% 203.51/203.52     (P3(f24(f5(x10191,x10191)),x10191)),
% 203.51/203.52     inference(scs_inference,[],[969,1014,43,140,91,83])).
% 203.51/203.52  cnf(1021,plain,
% 203.51/203.52     (P4(f5(x10211,x10211))),
% 203.51/203.52     inference(scs_inference,[],[969,1014,1017,43,140,91,83,87])).
% 203.51/203.52  cnf(1035,plain,
% 203.51/203.52     (P3(f4(f5(x10351,x10351)),x10351)),
% 203.51/203.52     inference(scs_inference,[],[1016,43,82])).
% 203.51/203.52  cnf(1036,plain,
% 203.51/203.52     (P1(x10361,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(1037,plain,
% 203.51/203.52     (P1(x10371,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(1039,plain,
% 203.51/203.52     (P1(f5(x10391,x10392),f15(x10391,x10392))),
% 203.51/203.52     inference(scs_inference,[],[1016,969,43,1037,1036,82,91])).
% 203.51/203.52  cnf(1042,plain,
% 203.51/203.52     (P1(f5(x10421,x10421),a2)),
% 203.51/203.52     inference(scs_inference,[],[1016,1021,969,43,1037,1036,82,91,53])).
% 203.51/203.52  cnf(1061,plain,
% 203.51/203.52     (~E(f20(f16(x10611)),f15(a8,a9))+~P5(f5(f24(a10),a9),f5(f24(a10),a9))+P5(f5(f24(a10),a9),f5(a9,a9))+~P1(f5(a9,a9),a14)),
% 203.51/203.52     inference(scs_inference,[],[462,973,43,3,18,8,80])).
% 203.51/203.52  cnf(1073,plain,
% 203.51/203.52     (~E(a10,f5(a8,a9))),
% 203.51/203.52     inference(scs_inference,[],[1042,969,357,43,86,32,1061,7])).
% 203.51/203.52  cnf(1122,plain,
% 203.51/203.52     (P1(f5(x11221,x11222),x11223)+~E(f15(x11221,x11222),x11223)),
% 203.51/203.52     inference(scs_inference,[],[1039,973,2,32])).
% 203.51/203.52  cnf(1160,plain,
% 203.51/203.52     (P1(x11601,f20(f16(x11602)))+~E(x11602,x11601)),
% 203.51/203.52     inference(scs_inference,[],[934,31])).
% 203.51/203.52  cnf(1170,plain,
% 203.51/203.52     (P1(f12(x11701,x11702),x11703)+~E(f15(x11702,x11701),x11703)),
% 203.51/203.52     inference(scs_inference,[],[797,160,43,80,32])).
% 203.51/203.52  cnf(1328,plain,
% 203.51/203.52     (~E(x13281,f5(a8,a9))+~E(a10,x13281)),
% 203.51/203.52     inference(scs_inference,[],[1073,3])).
% 203.51/203.52  cnf(1333,plain,
% 203.51/203.52     (~E(x13331,a9)+~E(a10,f5(a8,x13331))),
% 203.51/203.52     inference(scs_inference,[],[1328,10])).
% 203.51/203.52  cnf(1334,plain,
% 203.51/203.52     (~E(a9,x13341)+~E(a10,f5(a8,x13341))),
% 203.51/203.52     inference(scs_inference,[],[1333,2])).
% 203.51/203.52  cnf(1335,plain,
% 203.51/203.52     (~E(x13351,x13352)+~E(a9,x13351)+~E(a10,f5(a8,x13352))),
% 203.51/203.52     inference(scs_inference,[],[1334,3])).
% 203.51/203.52  cnf(1420,plain,
% 203.51/203.52     (~E(x14201,a2)+~E(f15(a8,a9),x14201)),
% 203.51/203.52     inference(scs_inference,[],[909,3])).
% 203.51/203.52  cnf(1423,plain,
% 203.51/203.52     (~E(a8,x14231)+~E(f15(x14231,a9),a2)),
% 203.51/203.52     inference(scs_inference,[],[1420,5])).
% 203.51/203.52  cnf(1451,plain,
% 203.51/203.52     (~E(x14511,a8)+~E(f15(x14511,a9),a2)),
% 203.51/203.52     inference(scs_inference,[],[1423,2])).
% 203.51/203.52  cnf(1455,plain,
% 203.51/203.52     (~E(x14551,a8)+~E(x14552,x14551)+~E(f15(x14552,a9),a2)),
% 203.51/203.52     inference(scs_inference,[],[1451,3])).
% 203.51/203.52  cnf(1496,plain,
% 203.51/203.52     (~E(x14961,f15(a8,a9))+~E(a2,x14961)),
% 203.51/203.52     inference(scs_inference,[],[908,3])).
% 203.51/203.52  cnf(1497,plain,
% 203.51/203.52     (~E(x14971,a9)+~E(a2,f15(a8,x14971))),
% 203.51/203.52     inference(scs_inference,[],[1496,6])).
% 203.51/203.52  cnf(1500,plain,
% 203.51/203.52     (~E(a9,x15001)+~E(a2,f15(a8,x15001))),
% 203.51/203.52     inference(scs_inference,[],[1497,2])).
% 203.51/203.52  cnf(1506,plain,
% 203.51/203.52     (~E(x15061,x15062)+~E(a9,x15061)+~E(a2,f15(a8,x15062))),
% 203.51/203.52     inference(scs_inference,[],[1500,3])).
% 203.51/203.52  cnf(1521,plain,
% 203.51/203.52     (P3(f24(f5(x15211,x15211)),x15212)+~E(x15211,x15212)),
% 203.51/203.52     inference(scs_inference,[],[1019,34])).
% 203.51/203.52  cnf(1558,plain,
% 203.51/203.52     (P5(f18(f16(x15581)),x15581)+~E(f16(x15581),f18(f16(x15581)))),
% 203.51/203.52     inference(scs_inference,[],[699,287])).
% 203.51/203.52  cnf(1568,plain,
% 203.51/203.52     (~E(f18(f16(x15681)),f16(x15681))+P5(f18(f16(x15681)),x15681)),
% 203.51/203.52     inference(scs_inference,[],[1558,2])).
% 203.51/203.52  cnf(1569,plain,
% 203.51/203.52     (~E(f18(f16(x15691)),f16(x15691))+P5(x15692,x15691)+~E(f18(f16(x15691)),x15692)),
% 203.51/203.52     inference(scs_inference,[],[1568,35])).
% 203.51/203.52  cnf(1593,plain,
% 203.51/203.52     (P3(x15931,x15932)+~E(x15932,x15931)),
% 203.51/203.52     inference(scs_inference,[],[92,33])).
% 203.51/203.52  cnf(1608,plain,
% 203.51/203.52     (P3(f4(f12(x16081,x16081)),x16082)+~E(x16081,x16082)),
% 203.51/203.52     inference(scs_inference,[],[110,34])).
% 203.51/203.52  cnf(1743,plain,
% 203.51/203.52     (P3(f24(f12(x17431,x17431)),x17432)+~E(x17431,x17432)),
% 203.51/203.52     inference(scs_inference,[],[108,34])).
% 203.51/203.52  cnf(1896,plain,
% 203.51/203.52     (~E(x18961,x18962)+~E(f15(x18963,x18962),a8)+~E(f15(f15(x18963,x18961),a9),a2)),
% 203.51/203.52     inference(scs_inference,[],[1455,6])).
% 203.51/203.52  cnf(2271,plain,
% 203.51/203.52     (P1(x22711,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(2272,plain,
% 203.51/203.52     (P1(x22721,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(2276,plain,
% 203.51/203.52     (P5(f24(f12(x22761,x22761)),x22761)+~P5(f24(f12(x22761,x22761)),f7(f16(f24(f12(x22761,x22761)))))+~P1(x22761,a14)),
% 203.51/203.52     inference(scs_inference,[],[108,43,2272,2271,149,80,84])).
% 203.51/203.52  cnf(2298,plain,
% 203.51/203.52     (P3(f24(f12(x22981,x22981)),x22981)),
% 203.51/203.52     inference(rename_variables,[],[108])).
% 203.51/203.52  cnf(2299,plain,
% 203.51/203.52     (P1(x22991,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(2300,plain,
% 203.51/203.52     (P1(x23001,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(2301,plain,
% 203.51/203.52     (P1(x23011,a14)),
% 203.51/203.52     inference(rename_variables,[],[43])).
% 203.51/203.52  cnf(2305,plain,
% 203.51/203.52     (P3(f5(f24(f12(x23051,x23051)),f24(f12(x23051,x23051))),f5(x23051,x23051))+~P1(x23052,a14)+~P5(f16(x23052),f16(f16(x23052)))),
% 203.51/203.52     inference(scs_inference,[],[108,2298,44,43,2299,2301,2300,922,84,90])).
% 203.51/203.52  cnf(4078,plain,
% 203.51/203.52     (P1(f7(f16(x40781)),f25(x40781))),
% 203.51/203.52     inference(rename_variables,[],[336])).
% 203.51/203.52  cnf(4084,plain,
% 203.51/203.52     (P1(f7(f16(x40841)),f25(x40841))),
% 203.51/203.52     inference(rename_variables,[],[336])).
% 203.51/203.52  cnf(4085,plain,
% 203.51/203.52     (P1(f7(f16(f5(x40851,x40851))),f15(x40851,x40851))),
% 203.51/203.52     inference(scs_inference,[],[357,43,336,4078,4084,922,140,2305,31,91])).
% 203.51/203.52  cnf(4106,plain,
% 203.51/203.52     (P1(f7(f16(f5(x41061,x41061))),f15(x41061,x41061))),
% 203.51/203.52     inference(rename_variables,[],[4085])).
% 203.51/203.52  cnf(4108,plain,
% 203.51/203.53     (P4(f7(f16(f5(x41081,x41081))))),
% 203.51/203.53     inference(scs_inference,[],[4085,43,336,83,87])).
% 203.51/203.53  cnf(4112,plain,
% 203.51/203.53     (P1(x41121,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4113,plain,
% 203.51/203.53     (P1(x41131,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4117,plain,
% 203.51/203.53     (~P1(a10,f20(f16(f5(a8,a9))))),
% 203.51/203.53     inference(scs_inference,[],[4085,4106,357,43,4113,4112,336,83,87,82,497,77])).
% 203.51/203.53  cnf(4128,plain,
% 203.51/203.53     (P1(x41281,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4132,plain,
% 203.51/203.53     (~E(f15(a3,a9),f20(f16(f5(a8,a9))))),
% 203.51/203.53     inference(scs_inference,[],[45,43,4128,4108,4117,53,2276,32])).
% 203.51/203.53  cnf(4167,plain,
% 203.51/203.53     (~P5(a10,f16(f5(a8,a9)))+~P1(a10,a14)),
% 203.51/203.53     inference(scs_inference,[],[43,4117,99,65])).
% 203.51/203.53  cnf(4171,plain,
% 203.51/203.53     (~E(f16(a10),f16(f5(a8,a9)))+~P1(a10,a14)),
% 203.51/203.53     inference(scs_inference,[],[43,4117,99,65,928])).
% 203.51/203.53  cnf(4174,plain,
% 203.51/203.53     (~P5(a10,f16(f5(a8,a9)))),
% 203.51/203.53     inference(scs_inference,[],[43,4167])).
% 203.51/203.53  cnf(4175,plain,
% 203.51/203.53     (P1(x41751,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4183,plain,
% 203.51/203.53     (~P5(f19(a10,f5(a8,a9)),f5(a8,a9))),
% 203.51/203.53     inference(scs_inference,[],[4132,43,4175,325,4167,4171,64,2,1569,975])).
% 203.51/203.53  cnf(4198,plain,
% 203.51/203.53     (~P1(f5(a8,a9),a14)+P5(f19(a10,f5(a8,a9)),a10)),
% 203.51/203.53     inference(scs_inference,[],[43,4174,71])).
% 203.51/203.53  cnf(4202,plain,
% 203.51/203.53     (P5(f19(a10,f5(a8,a9)),a10)),
% 203.51/203.53     inference(scs_inference,[],[43,4198])).
% 203.51/203.53  cnf(4351,plain,
% 203.51/203.53     (~P2(a10)+~P1(a10,a14)),
% 203.51/203.53     inference(scs_inference,[],[43,4202,61])).
% 203.51/203.53  cnf(4357,plain,
% 203.51/203.53     (~P2(a10)),
% 203.51/203.53     inference(scs_inference,[],[43,4351])).
% 203.51/203.53  cnf(4365,plain,
% 203.51/203.53     (P1(f18(a10),f20(a10))),
% 203.51/203.53     inference(scs_inference,[],[43,4357,60])).
% 203.51/203.53  cnf(4366,plain,
% 203.51/203.53     (P1(x43661,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4368,plain,
% 203.51/203.53     (P5(f7(a10),a10)),
% 203.51/203.53     inference(scs_inference,[],[43,4366,4357,60,58])).
% 203.51/203.53  cnf(4395,plain,
% 203.51/203.53     (P5(f18(a10),a10)+~P1(a10,a14)),
% 203.51/203.53     inference(scs_inference,[],[43,4365,4357,66])).
% 203.51/203.53  cnf(4402,plain,
% 203.51/203.53     (P5(f18(a10),a10)),
% 203.51/203.53     inference(scs_inference,[],[43,4395])).
% 203.51/203.53  cnf(4437,plain,
% 203.51/203.53     (P1(x44371,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4439,plain,
% 203.51/203.53     (~E(x44391,a10)+P1(f7(a10),f20(a10))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,4437,4357,65,31])).
% 203.51/203.53  cnf(4445,plain,
% 203.51/203.53     (P1(f7(a10),f20(a10))),
% 203.51/203.53     inference(equality_inference,[],[4439])).
% 203.51/203.53  cnf(4446,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),f7(a10))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85])).
% 203.51/203.53  cnf(4449,plain,
% 203.51/203.53     (E(f4(f7(a10)),f4(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))+~P1(f7(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406])).
% 203.51/203.53  cnf(4450,plain,
% 203.51/203.53     (E(f24(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f24(f7(a10)))+~P1(f7(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11])).
% 203.51/203.53  cnf(4451,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f21(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44511),f21(f7(a10),x44511))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12])).
% 203.51/203.53  cnf(4452,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f21(x44521,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f21(x44521,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13])).
% 203.51/203.53  cnf(4453,plain,
% 203.51/203.53     (E(f6(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f6(f7(a10)))+~P1(f7(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14])).
% 203.51/203.53  cnf(4454,plain,
% 203.51/203.53     (E(f7(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f7(f7(a10)))+~P1(f7(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15])).
% 203.51/203.53  cnf(4455,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f23(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44551),f23(f7(a10),x44551))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16])).
% 203.51/203.53  cnf(4456,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f13(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44561),f13(f7(a10),x44561))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20])).
% 203.51/203.53  cnf(4457,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f13(x44571,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f13(x44571,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21])).
% 203.51/203.53  cnf(4458,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f19(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44581),f19(f7(a10),x44581))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23])).
% 203.51/203.53  cnf(4459,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f19(x44591,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f19(x44591,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24])).
% 203.51/203.53  cnf(4460,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f11(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44601),f11(f7(a10),x44601))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25])).
% 203.51/203.53  cnf(4461,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f11(x44611,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f11(x44611,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26])).
% 203.51/203.53  cnf(4462,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f22(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44621),f22(f7(a10),x44621))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27])).
% 203.51/203.53  cnf(4463,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f22(x44631,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f22(x44631,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28])).
% 203.51/203.53  cnf(4464,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f12(x44641,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f12(x44641,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28,30])).
% 203.51/203.53  cnf(4465,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f5(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44651),f5(f7(a10),x44651))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28,30,9])).
% 203.51/203.53  cnf(4466,plain,
% 203.51/203.53     (E(f20(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f20(f7(a10)))+~P1(f7(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28,30,9,18])).
% 203.51/203.53  cnf(4467,plain,
% 203.51/203.53     (E(f16(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f16(f7(a10)))+~P1(f7(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28,30,9,18,8])).
% 203.51/203.53  cnf(4468,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f5(x44681,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f5(x44681,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28,30,9,18,8,10])).
% 203.51/203.53  cnf(4469,plain,
% 203.51/203.53     (~P1(f7(a10),a14)+E(f15(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44691),f15(f7(a10),x44691))),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28,30,9,18,8,10,5])).
% 203.51/203.53  cnf(4470,plain,
% 203.51/203.53     (E(f25(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f25(f7(a10)))+~P1(f7(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28,30,9,18,8,10,5,7])).
% 203.51/203.53  cnf(4471,plain,
% 203.51/203.53     (P5(f7(a10),f16(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))+~P1(f7(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28,30,9,18,8,10,5,7,923])).
% 203.51/203.53  cnf(4472,plain,
% 203.51/203.53     (E(f7(a10),f23(f21(a10,f7(a10)),f22(a10,f7(a10))))+~P1(f7(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4368,43,791,85,406,11,12,13,14,15,16,20,21,23,24,25,26,27,28,30,9,18,8,10,5,7,923,2])).
% 203.51/203.53  cnf(4475,plain,
% 203.51/203.53     (E(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),f7(a10))),
% 203.51/203.53     inference(scs_inference,[],[43,4446])).
% 203.51/203.53  cnf(4476,plain,
% 203.51/203.53     (P1(x44761,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4478,plain,
% 203.51/203.53     (P1(x44781,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4479,plain,
% 203.51/203.53     (E(f24(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f24(f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[43,4476,4478,4446,4449,4450])).
% 203.51/203.53  cnf(4480,plain,
% 203.51/203.53     (P1(x44801,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4481,plain,
% 203.51/203.53     (E(f21(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44811),f21(f7(a10),x44811))),
% 203.51/203.53     inference(scs_inference,[],[43,4476,4478,4480,4446,4449,4450,4451])).
% 203.51/203.53  cnf(4482,plain,
% 203.51/203.53     (P1(x44821,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4483,plain,
% 203.51/203.53     (E(f21(x44831,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f21(x44831,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[43,4476,4478,4480,4482,4446,4449,4450,4451,4452])).
% 203.51/203.53  cnf(4484,plain,
% 203.51/203.53     (P1(x44841,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4486,plain,
% 203.51/203.53     (P1(x44861,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4488,plain,
% 203.51/203.53     (P1(x44881,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4490,plain,
% 203.51/203.53     (P1(x44901,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4492,plain,
% 203.51/203.53     (P1(x44921,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4493,plain,
% 203.51/203.53     (E(f13(x44931,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f13(x44931,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[43,4476,4478,4480,4482,4484,4486,4488,4490,4492,4446,4449,4450,4451,4452,4453,4454,4455,4456,4457])).
% 203.51/203.53  cnf(4494,plain,
% 203.51/203.53     (P1(x44941,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4496,plain,
% 203.51/203.53     (P1(x44961,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4498,plain,
% 203.51/203.53     (P1(x44981,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4499,plain,
% 203.51/203.53     (E(f11(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x44991),f11(f7(a10),x44991))),
% 203.51/203.53     inference(scs_inference,[],[43,4476,4478,4480,4482,4484,4486,4488,4490,4492,4494,4496,4498,4446,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460])).
% 203.51/203.53  cnf(4500,plain,
% 203.51/203.53     (P1(x45001,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4502,plain,
% 203.51/203.53     (P1(x45021,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4504,plain,
% 203.51/203.53     (P1(x45041,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4506,plain,
% 203.51/203.53     (P1(x45061,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4507,plain,
% 203.51/203.53     (E(f12(x45071,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f12(x45071,f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[43,4476,4478,4480,4482,4484,4486,4488,4490,4492,4494,4496,4498,4500,4502,4504,4506,4446,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464])).
% 203.51/203.53  cnf(4508,plain,
% 203.51/203.53     (P1(x45081,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4510,plain,
% 203.51/203.53     (P1(x45101,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4512,plain,
% 203.51/203.53     (P1(x45121,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4514,plain,
% 203.51/203.53     (P1(x45141,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4516,plain,
% 203.51/203.53     (P1(x45161,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4517,plain,
% 203.51/203.53     (E(f15(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x45171),f15(f7(a10),x45171))),
% 203.51/203.53     inference(scs_inference,[],[43,4476,4478,4480,4482,4484,4486,4488,4490,4492,4494,4496,4498,4500,4502,4504,4506,4508,4510,4512,4514,4516,4446,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469])).
% 203.51/203.53  cnf(4518,plain,
% 203.51/203.53     (P1(x45181,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4519,plain,
% 203.51/203.53     (E(f25(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f25(f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[43,4476,4478,4480,4482,4484,4486,4488,4490,4492,4494,4496,4498,4500,4502,4504,4506,4508,4510,4512,4514,4516,4518,4446,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470])).
% 203.51/203.53  cnf(4520,plain,
% 203.51/203.53     (P1(x45201,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4522,plain,
% 203.51/203.53     (P1(x45221,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4523,plain,
% 203.51/203.53     (E(f7(a10),f23(f21(a10,f7(a10)),f22(a10,f7(a10))))),
% 203.51/203.53     inference(scs_inference,[],[43,4476,4478,4480,4482,4484,4486,4488,4490,4492,4494,4496,4498,4500,4502,4504,4506,4508,4510,4512,4514,4516,4518,4520,4522,4446,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472])).
% 203.51/203.53  cnf(4558,plain,
% 203.51/203.53     (P1(f12(x45581,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f15(f7(a10),x45581))),
% 203.51/203.53     inference(scs_inference,[],[4517,4519,410,1170])).
% 203.51/203.53  cnf(4564,plain,
% 203.51/203.53     (P1(f5(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x45641),f15(f7(a10),x45641))),
% 203.51/203.53     inference(scs_inference,[],[1039,4445,4481,4517,4519,4523,410,1170,1521,1608,1743,2,31,32])).
% 203.51/203.53  cnf(4566,plain,
% 203.51/203.53     (P5(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),a10)),
% 203.51/203.53     inference(scs_inference,[],[1039,4368,4445,4481,4517,4519,4523,410,1170,1521,1608,1743,2,31,32,35])).
% 203.51/203.53  cnf(4567,plain,
% 203.51/203.53     (P4(f12(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),f7(a10)))),
% 203.51/203.53     inference(scs_inference,[],[1039,4368,4445,4481,4507,4517,4519,4523,210,410,1170,1521,1608,1743,2,31,32,35,38])).
% 203.51/203.53  cnf(4583,plain,
% 203.51/203.53     (P1(x45831,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4586,plain,
% 203.51/203.53     (P1(x45861,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4587,plain,
% 203.51/203.53     (P1(x45871,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4590,plain,
% 203.51/203.53     (P5(f21(a10,f7(a10)),f4(a10))),
% 203.51/203.53     inference(scs_inference,[],[4558,43,4583,4587,4586,4567,4566,793,53,83,86])).
% 203.51/203.53  cnf(4591,plain,
% 203.51/203.53     (P1(x45911,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4592,plain,
% 203.51/203.53     (P1(x45921,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4594,plain,
% 203.51/203.53     (P5(f23(f21(a10,f7(a10)),f13(a10,f21(a10,f7(a10)))),a10)),
% 203.51/203.53     inference(scs_inference,[],[4558,43,4583,4587,4586,4567,4566,793,53,83,86,799])).
% 203.51/203.53  cnf(4598,plain,
% 203.51/203.53     (E(f23(f21(a10,f18(a10)),f22(a10,f18(a10))),f18(a10))),
% 203.51/203.53     inference(scs_inference,[],[4558,43,4583,4587,4591,4586,4592,4567,4566,4402,791,793,53,83,86,799,715,85])).
% 203.51/203.53  cnf(4605,plain,
% 203.51/203.53     (E(f21(x46051,f7(a10)),f21(x46051,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))),
% 203.51/203.53     inference(scs_inference,[],[4483,2])).
% 203.51/203.53  cnf(4618,plain,
% 203.51/203.53     (E(f19(f23(f21(a10,f18(a10)),f22(a10,f18(a10))),x46181),f19(f18(a10),x46181))),
% 203.51/203.53     inference(scs_inference,[],[4564,43,4483,4598,2,89,16,14,28,27,26,20,18,23])).
% 203.51/203.53  cnf(4708,plain,
% 203.51/203.53     (P5(f21(a10,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),f4(a10))),
% 203.51/203.53     inference(scs_inference,[],[4605,4590,35])).
% 203.51/203.53  cnf(4741,plain,
% 203.51/203.53     (E(f20(f7(a10)),f20(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))),
% 203.51/203.53     inference(scs_inference,[],[4493,4523,2,16,27,23,20,18])).
% 203.51/203.53  cnf(4743,plain,
% 203.51/203.53     (E(f12(x47431,f7(a10)),f12(x47431,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))),
% 203.51/203.53     inference(scs_inference,[],[4493,4523,2,16,27,23,20,18,15,30])).
% 203.51/203.53  cnf(4747,plain,
% 203.51/203.53     (E(f19(x47471,f7(a10)),f19(x47471,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))),
% 203.51/203.53     inference(scs_inference,[],[4493,4523,2,16,27,23,20,18,15,30,10,14,26,24])).
% 203.51/203.53  cnf(4751,plain,
% 203.51/203.53     (E(f25(f7(a10)),f25(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))),
% 203.51/203.53     inference(scs_inference,[],[4493,4523,2,16,27,23,20,18,15,30,10,14,26,24,11,28,25,7])).
% 203.51/203.53  cnf(4752,plain,
% 203.51/203.53     (E(f16(f7(a10)),f16(f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))),
% 203.51/203.53     inference(scs_inference,[],[4493,4523,2,16,27,23,20,18,15,30,10,14,26,24,11,28,25,7,8])).
% 203.51/203.53  cnf(4753,plain,
% 203.51/203.53     (E(f15(f7(a10),x47531),f15(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x47531))),
% 203.51/203.53     inference(scs_inference,[],[4493,4523,2,16,27,23,20,18,15,30,10,14,26,24,11,28,25,7,8,5])).
% 203.51/203.53  cnf(4778,plain,
% 203.51/203.53     (E(f15(x47781,f23(f21(a10,f18(a10)),f22(a10,f18(a10)))),f15(x47781,f18(a10)))),
% 203.51/203.53     inference(scs_inference,[],[4743,4753,4751,4752,4598,861,902,287,520,1122,29,6])).
% 203.51/203.53  cnf(4779,plain,
% 203.51/203.53     (E(f23(x47791,f23(f21(a10,f18(a10)),f22(a10,f18(a10)))),f23(x47791,f18(a10)))),
% 203.51/203.53     inference(scs_inference,[],[4743,4753,4751,4752,4598,861,902,287,520,1122,29,6,17])).
% 203.51/203.53  cnf(4837,plain,
% 203.51/203.53     (E(f15(x48371,f7(a10)),f15(x48371,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))),
% 203.51/203.53     inference(scs_inference,[],[4479,4778,4523,1122,1593,29,1160,17,6])).
% 203.51/203.53  cnf(4871,plain,
% 203.51/203.53     (P1(f5(x48711,f7(a10)),f15(x48711,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))),
% 203.51/203.53     inference(scs_inference,[],[1039,4741,4837,923,1335,32])).
% 203.51/203.53  cnf(4921,plain,
% 203.51/203.53     (P1(f12(x49211,f7(a10)),f15(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),x49211))),
% 203.51/203.53     inference(scs_inference,[],[92,4499,4753,33,1170])).
% 203.51/203.53  cnf(4932,plain,
% 203.51/203.53     (E(f19(f18(a10),x49321),f19(f23(f21(a10,f18(a10)),f22(a10,f18(a10))),x49321))),
% 203.51/203.53     inference(scs_inference,[],[4618,2])).
% 203.51/203.53  cnf(4962,plain,
% 203.51/203.53     (P1(f5(x49621,f7(a10)),f15(x49621,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))))),
% 203.51/203.53     inference(rename_variables,[],[4871])).
% 203.51/203.53  cnf(4963,plain,
% 203.51/203.53     (P1(x49631,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4964,plain,
% 203.51/203.53     (P1(x49641,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4967,plain,
% 203.51/203.53     (P1(x49671,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4968,plain,
% 203.51/203.53     (P1(x49681,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4970,plain,
% 203.51/203.53     (E(f23(f21(a10,f19(a10,f5(a8,a9))),f22(a10,f19(a10,f5(a8,a9)))),f19(a10,f5(a8,a9)))),
% 203.51/203.53     inference(scs_inference,[],[4871,43,4964,4967,4963,4968,4932,4594,4202,4357,791,922,35,83,65,85])).
% 203.51/203.53  cnf(4971,plain,
% 203.51/203.53     (P1(x49711,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4972,plain,
% 203.51/203.53     (P1(x49721,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4977,plain,
% 203.51/203.53     (~P2(f4(a10))),
% 203.51/203.53     inference(scs_inference,[],[4871,43,4964,4967,4971,4963,4968,4972,4932,4594,4708,4202,4357,791,922,35,83,65,85,1593,280,1506,61])).
% 203.51/203.53  cnf(4978,plain,
% 203.51/203.53     (P1(x49781,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4979,plain,
% 203.51/203.53     (P1(x49791,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4981,plain,
% 203.51/203.53     (P3(f4(f5(f23(f21(a10,f7(a10)),f22(a10,f7(a10))),f7(a10))),f23(f21(a10,f7(a10)),f22(a10,f7(a10))))),
% 203.51/203.53     inference(scs_inference,[],[4871,4962,43,4964,4967,4971,4978,4963,4968,4972,4932,4594,4708,4202,4357,791,922,35,83,65,85,1593,280,1506,61,82])).
% 203.51/203.53  cnf(4983,plain,
% 203.51/203.53     (P1(x49831,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4984,plain,
% 203.51/203.53     (P1(x49841,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4986,plain,
% 203.51/203.53     (P5(f21(a10,f23(f21(a10,f7(a10)),f22(a10,f7(a10)))),a8)),
% 203.51/203.53     inference(scs_inference,[],[44,4871,4962,43,4964,4967,4971,4978,4984,4983,4963,4968,4972,4979,4932,4594,4708,4202,4357,791,922,35,83,65,85,1593,280,1506,61,82,80])).
% 203.51/203.53  cnf(4987,plain,
% 203.51/203.53     (P1(x49871,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4988,plain,
% 203.51/203.53     (P1(x49881,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4989,plain,
% 203.51/203.53     (P1(x49891,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(4991,plain,
% 203.51/203.53     (~P5(f19(a10,f5(a8,a9)),f7(f16(f5(a8,a9))))),
% 203.51/203.53     inference(scs_inference,[],[44,4871,4962,149,43,4964,4967,4971,4978,4984,4988,4983,4987,4963,4968,4972,4979,4989,4932,4594,4708,4202,4357,791,4183,922,35,83,65,85,1593,280,1506,61,82,80,84])).
% 203.51/203.53  cnf(5003,plain,
% 203.51/203.53     (P5(f7(f4(a10)),f4(a10))),
% 203.51/203.53     inference(scs_inference,[],[43,4991,4970,4977,928,2,58])).
% 203.51/203.53  cnf(5004,plain,
% 203.51/203.53     (P1(x50041,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5006,plain,
% 203.51/203.53     (P1(f18(f4(a10)),f20(f4(a10)))),
% 203.51/203.53     inference(scs_inference,[],[43,5004,4991,4970,4977,928,2,58,60])).
% 203.51/203.53  cnf(5144,plain,
% 203.51/203.53     (P1(x51441,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5145,plain,
% 203.51/203.53     (P1(x51451,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5147,plain,
% 203.51/203.53     (P5(f18(f4(a10)),f4(a10))),
% 203.51/203.53     inference(scs_inference,[],[4981,4921,43,5145,5144,5006,4779,4977,4475,2,34,82,66])).
% 203.51/203.53  cnf(5148,plain,
% 203.51/203.53     (P1(x51481,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5149,plain,
% 203.51/203.53     (P1(x51491,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5156,plain,
% 203.51/203.53     (~P2(a8)),
% 203.51/203.53     inference(scs_inference,[],[4981,4921,4986,43,5145,5149,5144,5148,5006,4747,4779,4977,4475,2,34,82,66,799,1593,280,1896,61])).
% 203.51/203.53  cnf(5459,plain,
% 203.51/203.53     (P1(x54591,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5460,plain,
% 203.51/203.53     (P1(x54601,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5462,plain,
% 203.51/203.53     (P5(f7(f4(a10)),a8)+~P1(f7(f4(a10)),a14)),
% 203.51/203.53     inference(scs_inference,[],[44,5003,43,5460,5459,4977,65,80])).
% 203.51/203.53  cnf(5466,plain,
% 203.51/203.53     (P5(f7(f4(a10)),a8)),
% 203.51/203.53     inference(scs_inference,[],[43,5462])).
% 203.51/203.53  cnf(5487,plain,
% 203.51/203.53     (P1(f7(f4(a10)),f20(a8))+~P1(a8,a14)),
% 203.51/203.53     inference(scs_inference,[],[5466,43,5156,65])).
% 203.51/203.53  cnf(5492,plain,
% 203.51/203.53     (P1(f7(f4(a10)),f20(a8))),
% 203.51/203.53     inference(scs_inference,[],[43,5487])).
% 203.51/203.53  cnf(5648,plain,
% 203.51/203.53     (P1(x56481,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5649,plain,
% 203.51/203.53     (P1(x56491,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5651,plain,
% 203.51/203.53     (P5(f18(a10),f5(f4(a10),f24(a10)))+~P1(f18(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[4402,797,4183,43,5649,5648,35,84,80])).
% 203.51/203.53  cnf(5656,plain,
% 203.51/203.53     (P5(f18(a10),f5(f4(a10),f24(a10)))),
% 203.51/203.53     inference(scs_inference,[],[43,5651])).
% 203.51/203.53  cnf(5657,plain,
% 203.51/203.53     (P1(x56571,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(5658,plain,
% 203.51/203.53     (~P2(f5(f4(a10),f24(a10)))+~P1(f5(f4(a10),f24(a10)),a14)),
% 203.51/203.53     inference(scs_inference,[],[43,5657,5651,61])).
% 203.51/203.53  cnf(5668,plain,
% 203.51/203.53     (~P2(f5(f4(a10),f24(a10)))),
% 203.51/203.53     inference(scs_inference,[],[43,5658])).
% 203.51/203.53  cnf(5687,plain,
% 203.51/203.53     (P1(f19(a10,f5(a8,a9)),f20(a10))+~P1(a10,a14)),
% 203.51/203.53     inference(scs_inference,[],[4202,4357,43,65])).
% 203.51/203.53  cnf(5700,plain,
% 203.51/203.53     (P1(f19(a10,f5(a8,a9)),f20(a10))),
% 203.51/203.53     inference(scs_inference,[],[43,5687])).
% 203.51/203.53  cnf(5978,plain,
% 203.51/203.53     (~P3(f16(a10),f16(f5(a8,a9)))+~P1(f16(f5(a8,a9)),a14)+~P1(f16(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[5700,4174,922,43,80])).
% 203.51/203.53  cnf(5981,plain,
% 203.51/203.53     (~P3(f16(a10),f16(f5(a8,a9)))+~P1(f16(a10),a14)),
% 203.51/203.53     inference(scs_inference,[],[43,5978])).
% 203.51/203.53  cnf(5982,plain,
% 203.51/203.53     (~P3(f16(a10),f16(f5(a8,a9)))),
% 203.51/203.53     inference(scs_inference,[],[43,5981])).
% 203.51/203.53  cnf(6129,plain,
% 203.51/203.53     (P1(x61291,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6131,plain,
% 203.51/203.53     (P1(x61311,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6133,plain,
% 203.51/203.53     (P1(x61331,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6134,plain,
% 203.51/203.53     (P1(x61341,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6135,plain,
% 203.51/203.53     (~P3(a10,f5(a8,a9))+~P1(f5(a8,a9),a14)),
% 203.51/203.53     inference(scs_inference,[],[5982,5492,5656,4202,1019,4183,43,6129,6131,6134,6133,31,66,79,84,80])).
% 203.51/203.53  cnf(6141,plain,
% 203.51/203.53     (~P3(a10,f5(a8,a9))),
% 203.51/203.53     inference(scs_inference,[],[43,6135])).
% 203.51/203.53  cnf(6426,plain,
% 203.51/203.53     (P1(x64261,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6427,plain,
% 203.51/203.53     (P1(x64271,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6428,plain,
% 203.51/203.53     (P5(f18(f4(a10)),a3)+~P1(a3,a14)),
% 203.51/203.53     inference(scs_inference,[],[5147,1035,185,43,6427,6426,79,80])).
% 203.51/203.53  cnf(6440,plain,
% 203.51/203.53     (P1(x64401,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6441,plain,
% 203.51/203.53     (~P2(a3)+~P1(a3,a14)),
% 203.51/203.53     inference(scs_inference,[],[43,6440,6428,61])).
% 203.51/203.53  cnf(6456,plain,
% 203.51/203.53     (~P2(a3)),
% 203.51/203.53     inference(scs_inference,[],[43,6441])).
% 203.51/203.53  cnf(6457,plain,
% 203.51/203.53     (P1(x64571,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6458,plain,
% 203.51/203.53     (P1(f18(a3),f20(a3))),
% 203.51/203.53     inference(scs_inference,[],[43,6457,6441,60])).
% 203.51/203.53  cnf(6469,plain,
% 203.51/203.53     (P5(f7(a3),a3)),
% 203.51/203.53     inference(scs_inference,[],[6456,43,58])).
% 203.51/203.53  cnf(6479,plain,
% 203.51/203.53     (P1(f7(a3),f20(a3))+~P1(a3,a14)),
% 203.51/203.53     inference(scs_inference,[],[6469,6456,43,65])).
% 203.51/203.53  cnf(6480,plain,
% 203.51/203.53     (P1(x64801,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6482,plain,
% 203.51/203.53     (P5(f18(a3),a3)+~P1(a3,a14)),
% 203.51/203.53     inference(scs_inference,[],[6458,6469,6456,43,6480,65,66])).
% 203.51/203.53  cnf(6489,plain,
% 203.51/203.53     (P1(x64891,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6490,plain,
% 203.51/203.53     (P5(f18(a3),a3)),
% 203.51/203.53     inference(scs_inference,[],[43,6489,6479,6482])).
% 203.51/203.53  cnf(6656,plain,
% 203.51/203.53     (P1(x66561,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6657,plain,
% 203.51/203.53     (P1(x66571,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6659,plain,
% 203.51/203.53     (~P1(a8,a14)+~P1(a9,a14)+~P1(f24(a10),a14)+~P1(f5(f4(a10),f24(a10)),a14)+~P1(f5(a8,a9),a14)),
% 203.51/203.53     inference(scs_inference,[],[44,6490,6141,165,797,5668,43,6656,6657,79,90])).
% 203.51/203.53  cnf(6678,plain,
% 203.51/203.53     (~P1(f24(a10),a14)+~P1(f5(f4(a10),f24(a10)),a14)+~P1(a8,a14)+~P1(f5(a8,a9),a14)),
% 203.51/203.53     inference(scs_inference,[],[43,6659])).
% 203.51/203.53  cnf(6689,plain,
% 203.51/203.53     (~P1(a8,a14)+~P1(f24(a10),a14)+~P1(f5(a8,a9),a14)),
% 203.51/203.53     inference(scs_inference,[],[43,6678])).
% 203.51/203.53  cnf(6691,plain,
% 203.51/203.53     (P1(x66911,a14)),
% 203.51/203.53     inference(rename_variables,[],[43])).
% 203.51/203.53  cnf(6694,plain,
% 203.51/203.53     (~E(x66941,f24(a10))+~P1(f5(a8,a9),a14)),
% 203.51/203.53     inference(scs_inference,[],[969,43,6691,6689,32,31])).
% 203.51/203.53  cnf(6728,plain,
% 203.51/203.53     (~P1(f5(a8,a9),a14)),
% 203.51/203.53     inference(equality_inference,[],[6694])).
% 203.51/203.53  cnf(6729,plain,
% 203.51/203.53     ($false),
% 203.51/203.53     inference(scs_inference,[],[6728,43]),
% 203.51/203.53     ['proof']).
% 203.51/203.53  % SZS output end Proof
% 203.51/203.53  % Total time :202.770000s
%------------------------------------------------------------------------------