TSTP Solution File: SEU030+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SEU030+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n016.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 16:17:17 EDT 2023

% Result   : Theorem 2.57s 2.71s
% Output   : CNFRefutation 2.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU030+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35  % Computer : n016.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Wed Aug 23 13:46:37 EDT 2023
% 0.17/0.35  % CPUTime    : 
% 0.21/0.58  start to proof:theBenchmark
% 2.57/2.69  %-------------------------------------------
% 2.57/2.69  % File        :CSE---1.6
% 2.57/2.69  % Problem     :theBenchmark
% 2.57/2.69  % Transform   :cnf
% 2.57/2.69  % Format      :tptp:raw
% 2.57/2.69  % Command     :java -jar mcs_scs.jar %d %s
% 2.57/2.69  
% 2.57/2.69  % Result      :Theorem 2.050000s
% 2.57/2.69  % Output      :CNFRefutation 2.050000s
% 2.57/2.69  %-------------------------------------------
% 2.57/2.70  %------------------------------------------------------------------------------
% 2.57/2.70  % File     : SEU030+1 : TPTP v8.1.2. Released v3.2.0.
% 2.57/2.70  % Domain   : Set theory
% 2.57/2.70  % Problem  : Functions and their basic properties, theorem 63
% 2.57/2.70  % Version  : [Urb06] axioms : Especial.
% 2.57/2.70  % English  :
% 2.57/2.70  
% 2.57/2.70  % Refs     : [Byl90] Bylinski (1990), Functions and Their Basic Properties
% 2.57/2.70  %          : [Urb06] Urban (2006), Email to G. Sutcliffe
% 2.57/2.70  % Source   : [Urb06]
% 2.57/2.70  % Names    : funct_1__t63_funct_1 [Urb06]
% 2.57/2.70  
% 2.57/2.70  % Status   : Theorem
% 2.57/2.70  % Rating   : 0.31 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.21 v6.2.0, 0.28 v6.1.0, 0.43 v6.0.0, 0.39 v5.5.0, 0.44 v5.4.0, 0.46 v5.3.0, 0.48 v5.2.0, 0.30 v5.1.0, 0.38 v5.0.0, 0.46 v4.1.0, 0.43 v4.0.0, 0.42 v3.7.0, 0.35 v3.5.0, 0.37 v3.4.0, 0.47 v3.3.0, 0.57 v3.2.0
% 2.57/2.70  % Syntax   : Number of formulae    :   43 (   7 unt;   0 def)
% 2.57/2.70  %            Number of atoms       :  126 (  13 equ)
% 2.57/2.70  %            Maximal formula atoms :   10 (   2 avg)
% 2.57/2.70  %            Number of connectives :   97 (  14   ~;   1   |;  52   &)
% 2.57/2.70  %                                         (   1 <=>;  29  =>;   0  <=;   0 <~>)
% 2.57/2.70  %            Maximal formula depth :   11 (   4 avg)
% 2.57/2.70  %            Maximal term depth    :    3 (   1 avg)
% 2.57/2.70  %            Number of predicates  :    9 (   8 usr;   0 prp; 1-2 aty)
% 2.57/2.70  %            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
% 2.57/2.70  %            Number of variables   :   62 (  51   !;  11   ?)
% 2.57/2.70  % SPC      : FOF_THM_RFO_SEQ
% 2.57/2.70  
% 2.57/2.70  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 2.57/2.70  %            library, www.mizar.org
% 2.57/2.70  %------------------------------------------------------------------------------
% 2.57/2.70  fof(antisymmetry_r2_hidden,axiom,
% 2.57/2.70      ! [A,B] :
% 2.57/2.70        ( in(A,B)
% 2.57/2.70       => ~ in(B,A) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(cc1_funct_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( empty(A)
% 2.57/2.70       => function(A) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(cc1_relat_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( empty(A)
% 2.57/2.70       => relation(A) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(cc2_funct_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( ( relation(A)
% 2.57/2.70          & empty(A)
% 2.57/2.70          & function(A) )
% 2.57/2.70       => ( relation(A)
% 2.57/2.70          & function(A)
% 2.57/2.70          & one_to_one(A) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(dt_k2_funct_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( ( relation(A)
% 2.57/2.70          & function(A) )
% 2.57/2.70       => ( relation(function_inverse(A))
% 2.57/2.70          & function(function_inverse(A)) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(dt_k5_relat_1,axiom,
% 2.57/2.70      ! [A,B] :
% 2.57/2.70        ( ( relation(A)
% 2.57/2.70          & relation(B) )
% 2.57/2.70       => relation(relation_composition(A,B)) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(dt_k6_relat_1,axiom,
% 2.57/2.70      ! [A] : relation(identity_relation(A)) ).
% 2.57/2.70  
% 2.57/2.70  fof(existence_m1_subset_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70      ? [B] : element(B,A) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc10_relat_1,axiom,
% 2.57/2.70      ! [A,B] :
% 2.57/2.70        ( ( empty(A)
% 2.57/2.70          & relation(B) )
% 2.57/2.70       => ( empty(relation_composition(B,A))
% 2.57/2.70          & relation(relation_composition(B,A)) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc12_relat_1,axiom,
% 2.57/2.70      ( empty(empty_set)
% 2.57/2.70      & relation(empty_set)
% 2.57/2.70      & relation_empty_yielding(empty_set) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc1_funct_1,axiom,
% 2.57/2.70      ! [A,B] :
% 2.57/2.70        ( ( relation(A)
% 2.57/2.70          & function(A)
% 2.57/2.70          & relation(B)
% 2.57/2.70          & function(B) )
% 2.57/2.70       => ( relation(relation_composition(A,B))
% 2.57/2.70          & function(relation_composition(A,B)) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc1_subset_1,axiom,
% 2.57/2.70      ! [A] : ~ empty(powerset(A)) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc1_xboole_0,axiom,
% 2.57/2.70      empty(empty_set) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc2_funct_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( relation(identity_relation(A))
% 2.57/2.70        & function(identity_relation(A)) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc4_relat_1,axiom,
% 2.57/2.70      ( empty(empty_set)
% 2.57/2.70      & relation(empty_set) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc5_relat_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( ( ~ empty(A)
% 2.57/2.70          & relation(A) )
% 2.57/2.70       => ~ empty(relation_dom(A)) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc6_relat_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( ( ~ empty(A)
% 2.57/2.70          & relation(A) )
% 2.57/2.70       => ~ empty(relation_rng(A)) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc7_relat_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( empty(A)
% 2.57/2.70       => ( empty(relation_dom(A))
% 2.57/2.70          & relation(relation_dom(A)) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc8_relat_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( empty(A)
% 2.57/2.70       => ( empty(relation_rng(A))
% 2.57/2.70          & relation(relation_rng(A)) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(fc9_relat_1,axiom,
% 2.57/2.70      ! [A,B] :
% 2.57/2.70        ( ( empty(A)
% 2.57/2.70          & relation(B) )
% 2.57/2.70       => ( empty(relation_composition(A,B))
% 2.57/2.70          & relation(relation_composition(A,B)) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(l72_funct_1,axiom,
% 2.57/2.70      ! [A,B] :
% 2.57/2.70        ( ( relation(B)
% 2.57/2.70          & function(B) )
% 2.57/2.70       => ! [C] :
% 2.57/2.70            ( ( relation(C)
% 2.57/2.70              & function(C) )
% 2.57/2.70           => ! [D] :
% 2.57/2.70                ( ( relation(D)
% 2.57/2.70                  & function(D) )
% 2.57/2.70               => ( ( relation_rng(B) = A
% 2.57/2.70                    & relation_composition(B,C) = identity_relation(relation_dom(D))
% 2.57/2.70                    & relation_composition(C,D) = identity_relation(A) )
% 2.57/2.70                 => D = B ) ) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc1_funct_1,axiom,
% 2.57/2.70      ? [A] :
% 2.57/2.70        ( relation(A)
% 2.57/2.70        & function(A) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc1_relat_1,axiom,
% 2.57/2.70      ? [A] :
% 2.57/2.70        ( empty(A)
% 2.57/2.70        & relation(A) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc1_subset_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( ~ empty(A)
% 2.57/2.70       => ? [B] :
% 2.57/2.70            ( element(B,powerset(A))
% 2.57/2.70            & ~ empty(B) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc1_xboole_0,axiom,
% 2.57/2.70      ? [A] : empty(A) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc2_funct_1,axiom,
% 2.57/2.70      ? [A] :
% 2.57/2.70        ( relation(A)
% 2.57/2.70        & empty(A)
% 2.57/2.70        & function(A) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc2_relat_1,axiom,
% 2.57/2.70      ? [A] :
% 2.57/2.70        ( ~ empty(A)
% 2.57/2.70        & relation(A) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc2_subset_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70      ? [B] :
% 2.57/2.70        ( element(B,powerset(A))
% 2.57/2.70        & empty(B) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc2_xboole_0,axiom,
% 2.57/2.70      ? [A] : ~ empty(A) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc3_funct_1,axiom,
% 2.57/2.70      ? [A] :
% 2.57/2.70        ( relation(A)
% 2.57/2.70        & function(A)
% 2.57/2.70        & one_to_one(A) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(rc3_relat_1,axiom,
% 2.57/2.70      ? [A] :
% 2.57/2.70        ( relation(A)
% 2.57/2.70        & relation_empty_yielding(A) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(reflexivity_r1_tarski,axiom,
% 2.57/2.70      ! [A,B] : subset(A,A) ).
% 2.57/2.70  
% 2.57/2.70  fof(t1_subset,axiom,
% 2.57/2.70      ! [A,B] :
% 2.57/2.70        ( in(A,B)
% 2.57/2.70       => element(A,B) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(t2_subset,axiom,
% 2.57/2.70      ! [A,B] :
% 2.57/2.70        ( element(A,B)
% 2.57/2.70       => ( empty(B)
% 2.57/2.70          | in(A,B) ) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(t3_subset,axiom,
% 2.57/2.70      ! [A,B] :
% 2.57/2.70        ( element(A,powerset(B))
% 2.57/2.70      <=> subset(A,B) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(t4_subset,axiom,
% 2.57/2.70      ! [A,B,C] :
% 2.57/2.70        ( ( in(A,B)
% 2.57/2.70          & element(B,powerset(C)) )
% 2.57/2.70       => element(A,C) ) ).
% 2.57/2.70  
% 2.57/2.70  fof(t55_funct_1,axiom,
% 2.57/2.70      ! [A] :
% 2.57/2.70        ( ( relation(A)
% 2.57/2.70          & function(A) )
% 2.57/2.70       => ( one_to_one(A)
% 2.57/2.71         => ( relation_rng(A) = relation_dom(function_inverse(A))
% 2.57/2.71            & relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ).
% 2.57/2.71  
% 2.57/2.71  fof(t5_subset,axiom,
% 2.57/2.71      ! [A,B,C] :
% 2.57/2.71        ~ ( in(A,B)
% 2.57/2.71          & element(B,powerset(C))
% 2.57/2.71          & empty(C) ) ).
% 2.57/2.71  
% 2.57/2.71  fof(t61_funct_1,axiom,
% 2.57/2.71      ! [A] :
% 2.57/2.71        ( ( relation(A)
% 2.57/2.71          & function(A) )
% 2.57/2.71       => ( one_to_one(A)
% 2.57/2.71         => ( relation_composition(A,function_inverse(A)) = identity_relation(relation_dom(A))
% 2.57/2.71            & relation_composition(function_inverse(A),A) = identity_relation(relation_rng(A)) ) ) ) ).
% 2.57/2.71  
% 2.57/2.71  fof(t63_funct_1,conjecture,
% 2.57/2.71      ! [A] :
% 2.57/2.71        ( ( relation(A)
% 2.57/2.71          & function(A) )
% 2.57/2.71       => ! [B] :
% 2.57/2.71            ( ( relation(B)
% 2.57/2.71              & function(B) )
% 2.57/2.71           => ( ( one_to_one(A)
% 2.57/2.71                & relation_rng(A) = relation_dom(B)
% 2.57/2.71                & relation_composition(A,B) = identity_relation(relation_dom(A)) )
% 2.57/2.71             => B = function_inverse(A) ) ) ) ).
% 2.57/2.71  
% 2.57/2.71  fof(t6_boole,axiom,
% 2.57/2.71      ! [A] :
% 2.57/2.71        ( empty(A)
% 2.57/2.71       => A = empty_set ) ).
% 2.57/2.71  
% 2.57/2.71  fof(t7_boole,axiom,
% 2.57/2.71      ! [A,B] :
% 2.57/2.71        ~ ( in(A,B)
% 2.57/2.71          & empty(B) ) ).
% 2.57/2.71  
% 2.57/2.71  fof(t8_boole,axiom,
% 2.57/2.71      ! [A,B] :
% 2.57/2.71        ~ ( empty(A)
% 2.57/2.71          & A != B
% 2.57/2.71          & empty(B) ) ).
% 2.57/2.71  
% 2.57/2.71  %------------------------------------------------------------------------------
% 2.57/2.71  %-------------------------------------------
% 2.57/2.71  % Proof found
% 2.57/2.71  % SZS status Theorem for theBenchmark
% 2.57/2.71  % SZS output start Proof
% 2.57/2.71  %ClaNum:97(EqnAxiom:24)
% 2.57/2.71  %VarNum:148(SingletonVarNum:61)
% 2.57/2.71  %MaxLitNum:10
% 2.57/2.71  %MaxfuncDepth:2
% 2.57/2.71  %SharedTerms:44
% 2.57/2.71  %goalClause: 34 35 44 45 47 50 56 59
% 2.57/2.71  %singleGoalClaCount:8
% 2.57/2.71  [27]P1(a1)
% 2.57/2.71  [28]P1(a2)
% 2.57/2.71  [29]P1(a9)
% 2.57/2.71  [30]P1(a11)
% 2.57/2.71  [31]P3(a3)
% 2.57/2.71  [32]P3(a11)
% 2.57/2.71  [33]P3(a4)
% 2.57/2.71  [34]P3(a5)
% 2.57/2.71  [35]P3(a7)
% 2.57/2.71  [37]P4(a1)
% 2.57/2.71  [38]P4(a3)
% 2.57/2.71  [39]P4(a2)
% 2.57/2.71  [40]P4(a11)
% 2.57/2.71  [41]P4(a12)
% 2.57/2.71  [42]P4(a4)
% 2.57/2.71  [43]P4(a6)
% 2.57/2.71  [44]P4(a5)
% 2.57/2.71  [45]P4(a7)
% 2.57/2.71  [46]P5(a4)
% 2.57/2.71  [47]P5(a5)
% 2.57/2.71  [48]P7(a1)
% 2.57/2.71  [49]P7(a6)
% 2.57/2.71  [60]~P1(a12)
% 2.57/2.71  [61]~P1(a17)
% 2.57/2.71  [50]E(f13(a7),f20(a5))
% 2.57/2.71  [59]~E(f16(a5),a7)
% 2.57/2.71  [56]E(f15(f13(a5)),f18(a5,a7))
% 2.57/2.71  [55]P8(x551,x551)
% 2.57/2.71  [51]P1(f14(x511))
% 2.57/2.71  [52]P3(f15(x521))
% 2.57/2.71  [54]P4(f15(x541))
% 2.57/2.71  [57]P2(f8(x571),x571)
% 2.57/2.71  [58]P2(f14(x581),f19(x581))
% 2.57/2.71  [62]~P1(f19(x621))
% 2.57/2.71  [63]~P1(x631)+E(x631,a1)
% 2.57/2.71  [64]~P1(x641)+P3(x641)
% 2.57/2.71  [65]~P1(x651)+P4(x651)
% 2.57/2.71  [67]~P1(x671)+P1(f13(x671))
% 2.57/2.71  [68]~P1(x681)+P1(f20(x681))
% 2.57/2.71  [69]~P1(x691)+P4(f13(x691))
% 2.57/2.71  [70]~P1(x701)+P4(f20(x701))
% 2.57/2.71  [71]P1(x711)+~P1(f10(x711))
% 2.57/2.71  [78]P1(x781)+P2(f10(x781),f19(x781))
% 2.57/2.71  [77]~P1(x771)+~P6(x772,x771)
% 2.57/2.71  [81]~P6(x811,x812)+P2(x811,x812)
% 2.57/2.71  [89]~P6(x892,x891)+~P6(x891,x892)
% 2.57/2.71  [83]~P8(x831,x832)+P2(x831,f19(x832))
% 2.57/2.71  [90]P8(x901,x902)+~P2(x901,f19(x902))
% 2.57/2.71  [72]~P3(x721)+~P4(x721)+P3(f16(x721))
% 2.57/2.71  [73]~P3(x731)+~P4(x731)+P4(f16(x731))
% 2.57/2.71  [75]~P4(x751)+P1(x751)+~P1(f13(x751))
% 2.57/2.71  [76]~P4(x761)+P1(x761)+~P1(f20(x761))
% 2.57/2.71  [66]~P1(x662)+~P1(x661)+E(x661,x662)
% 2.57/2.71  [82]~P2(x822,x821)+P1(x821)+P6(x822,x821)
% 2.57/2.71  [84]~P1(x842)+~P4(x841)+P1(f18(x841,x842))
% 2.57/2.71  [85]~P1(x851)+~P4(x852)+P1(f18(x851,x852))
% 2.57/2.71  [86]~P1(x862)+~P4(x861)+P4(f18(x861,x862))
% 2.57/2.71  [87]~P1(x871)+~P4(x872)+P4(f18(x871,x872))
% 2.57/2.71  [88]~P4(x882)+~P4(x881)+P4(f18(x881,x882))
% 2.57/2.71  [95]~P1(x951)+~P6(x952,x953)+~P2(x953,f19(x951))
% 2.57/2.71  [96]P2(x961,x962)+~P6(x961,x963)+~P2(x963,f19(x962))
% 2.57/2.71  [74]~P1(x741)+~P3(x741)+~P4(x741)+P5(x741)
% 2.57/2.71  [79]~P3(x791)+~P4(x791)+~P5(x791)+E(f13(x791),f20(f16(x791)))
% 2.57/2.71  [80]~P3(x801)+~P4(x801)+~P5(x801)+E(f13(f16(x801)),f20(x801))
% 2.57/2.71  [91]~P3(x911)+~P4(x911)+~P5(x911)+E(f18(x911,f16(x911)),f15(f13(x911)))
% 2.57/2.71  [92]~P3(x921)+~P4(x921)+~P5(x921)+E(f18(f16(x921),x921),f15(f20(x921)))
% 2.57/2.71  [93]~P3(x932)+~P3(x931)+~P4(x932)+~P4(x931)+P3(f18(x931,x932))
% 2.57/2.71  [97]~P3(x972)+~P3(x974)+~P3(x971)+~P4(x972)+~P4(x974)+~P4(x971)+E(x971,x972)+~E(f18(x974,x972),f15(x973))+~E(f20(x971),x973)+~E(f18(x971,x974),f15(f13(x972)))
% 2.57/2.71  %EqnAxiom
% 2.57/2.71  [1]E(x11,x11)
% 2.57/2.71  [2]E(x22,x21)+~E(x21,x22)
% 2.57/2.71  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.57/2.71  [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 2.57/2.71  [5]~E(x51,x52)+E(f20(x51),f20(x52))
% 2.57/2.71  [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 2.57/2.71  [7]~E(x71,x72)+E(f15(x71),f15(x72))
% 2.57/2.71  [8]~E(x81,x82)+E(f18(x81,x83),f18(x82,x83))
% 2.57/2.71  [9]~E(x91,x92)+E(f18(x93,x91),f18(x93,x92))
% 2.57/2.71  [10]~E(x101,x102)+E(f16(x101),f16(x102))
% 2.57/2.71  [11]~E(x111,x112)+E(f19(x111),f19(x112))
% 2.57/2.71  [12]~E(x121,x122)+E(f10(x121),f10(x122))
% 2.57/2.71  [13]~E(x131,x132)+E(f8(x131),f8(x132))
% 2.57/2.71  [14]~P1(x141)+P1(x142)+~E(x141,x142)
% 2.57/2.71  [15]~P4(x151)+P4(x152)+~E(x151,x152)
% 2.57/2.71  [16]P6(x162,x163)+~E(x161,x162)+~P6(x161,x163)
% 2.57/2.71  [17]P6(x173,x172)+~E(x171,x172)+~P6(x173,x171)
% 2.57/2.71  [18]P8(x182,x183)+~E(x181,x182)+~P8(x181,x183)
% 2.57/2.71  [19]P8(x193,x192)+~E(x191,x192)+~P8(x193,x191)
% 2.57/2.71  [20]~P3(x201)+P3(x202)+~E(x201,x202)
% 2.57/2.71  [21]~P5(x211)+P5(x212)+~E(x211,x212)
% 2.57/2.71  [22]P2(x222,x223)+~E(x221,x222)+~P2(x221,x223)
% 2.57/2.71  [23]P2(x233,x232)+~E(x231,x232)+~P2(x233,x231)
% 2.57/2.71  [24]~P7(x241)+P7(x242)+~E(x241,x242)
% 2.57/2.71  
% 2.57/2.71  %-------------------------------------------
% 2.57/2.71  cnf(98,plain,
% 2.57/2.71     (E(f20(a5),f13(a7))),
% 2.57/2.71     inference(scs_inference,[],[50,2])).
% 2.57/2.71  cnf(99,plain,
% 2.57/2.71     (~P6(x991,a1)),
% 2.57/2.71     inference(scs_inference,[],[27,50,2,77])).
% 2.57/2.71  cnf(101,plain,
% 2.57/2.71     (P8(f8(f19(x1011)),x1011)),
% 2.57/2.71     inference(scs_inference,[],[27,50,57,2,77,90])).
% 2.57/2.71  cnf(102,plain,
% 2.57/2.71     (P2(f8(x1021),x1021)),
% 2.57/2.71     inference(rename_variables,[],[57])).
% 2.57/2.71  cnf(105,plain,
% 2.57/2.71     (P2(f8(x1051),x1051)),
% 2.57/2.71     inference(rename_variables,[],[57])).
% 2.57/2.71  cnf(106,plain,
% 2.57/2.71     (P3(f18(a5,a7))),
% 2.57/2.71     inference(scs_inference,[],[27,50,56,57,102,52,2,77,90,23,20])).
% 2.57/2.71  cnf(110,plain,
% 2.57/2.71     (P4(f18(a5,a7))),
% 2.57/2.71     inference(scs_inference,[],[55,27,50,56,57,102,52,54,2,77,90,23,20,19,18,15])).
% 2.57/2.71  cnf(112,plain,
% 2.57/2.71     (P6(f8(a12),a12)),
% 2.57/2.71     inference(scs_inference,[],[55,27,60,50,56,57,102,105,52,54,2,77,90,23,20,19,18,15,82])).
% 2.57/2.71  cnf(113,plain,
% 2.57/2.71     (P2(f8(x1131),x1131)),
% 2.57/2.71     inference(rename_variables,[],[57])).
% 2.57/2.71  cnf(115,plain,
% 2.57/2.71     (~P6(x1151,f8(f19(a1)))),
% 2.57/2.71     inference(scs_inference,[],[55,27,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95])).
% 2.57/2.71  cnf(117,plain,
% 2.57/2.71     (P5(a11)),
% 2.57/2.71     inference(scs_inference,[],[55,27,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74])).
% 2.57/2.71  cnf(119,plain,
% 2.57/2.71     (~P6(a12,f8(a12))),
% 2.57/2.71     inference(scs_inference,[],[55,27,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89])).
% 2.57/2.71  cnf(121,plain,
% 2.57/2.71     (P4(a9)),
% 2.57/2.71     inference(scs_inference,[],[55,27,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65])).
% 2.57/2.71  cnf(123,plain,
% 2.57/2.71     (P3(a1)),
% 2.57/2.71     inference(scs_inference,[],[55,27,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64])).
% 2.57/2.71  cnf(125,plain,
% 2.57/2.71     (E(a2,a1)),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63])).
% 2.57/2.71  cnf(127,plain,
% 2.57/2.71     (P2(f13(a7),f19(f13(a7)))),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83])).
% 2.57/2.71  cnf(129,plain,
% 2.57/2.71     (~P1(f10(a12))),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71])).
% 2.57/2.71  cnf(137,plain,
% 2.57/2.71     (P1(f13(a1))),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67])).
% 2.57/2.71  cnf(141,plain,
% 2.57/2.71     (E(f19(f13(a7)),f19(f20(a5)))),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11])).
% 2.57/2.71  cnf(143,plain,
% 2.57/2.71     (E(f18(x1431,f13(a7)),f18(x1431,f20(a5)))),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9])).
% 2.57/2.71  cnf(144,plain,
% 2.57/2.71     (E(f18(f13(a7),x1441),f18(f20(a5),x1441))),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8])).
% 2.57/2.71  cnf(146,plain,
% 2.57/2.71     (E(f14(f13(a7)),f14(f20(a5)))),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6])).
% 2.57/2.71  cnf(149,plain,
% 2.57/2.71     (P2(f10(a12),f19(a12))),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78])).
% 2.57/2.71  cnf(152,plain,
% 2.57/2.71     (~P6(x1521,a2)),
% 2.57/2.71     inference(scs_inference,[],[55,27,28,29,30,32,40,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17])).
% 2.57/2.71  cnf(162,plain,
% 2.57/2.71     (P1(f18(a5,a1))),
% 2.57/2.71     inference(scs_inference,[],[55,44,27,28,29,30,32,40,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84])).
% 2.57/2.71  cnf(164,plain,
% 2.57/2.71     (~P1(f20(a12))),
% 2.57/2.71     inference(scs_inference,[],[55,44,27,28,29,30,32,40,41,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84,76])).
% 2.57/2.71  cnf(166,plain,
% 2.57/2.71     (~P1(f13(a12))),
% 2.57/2.71     inference(scs_inference,[],[55,44,27,28,29,30,32,40,41,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84,76,75])).
% 2.57/2.71  cnf(168,plain,
% 2.57/2.71     (P4(f16(a5))),
% 2.57/2.71     inference(scs_inference,[],[34,55,44,27,28,29,30,32,40,41,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84,76,75,73])).
% 2.57/2.71  cnf(170,plain,
% 2.57/2.71     (P3(f16(a5))),
% 2.57/2.71     inference(scs_inference,[],[34,55,44,27,28,29,30,32,40,41,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84,76,75,73,72])).
% 2.57/2.71  cnf(172,plain,
% 2.57/2.71     (E(f13(f16(a5)),f20(a5))),
% 2.57/2.71     inference(scs_inference,[],[34,55,44,47,27,28,29,30,32,40,41,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84,76,75,73,72,80])).
% 2.57/2.71  cnf(174,plain,
% 2.57/2.71     (E(f13(a5),f20(f16(a5)))),
% 2.57/2.71     inference(scs_inference,[],[34,55,44,47,27,28,29,30,32,40,41,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84,76,75,73,72,80,79])).
% 2.57/2.71  cnf(176,plain,
% 2.57/2.71     (E(f18(f16(a5),a5),f15(f20(a5)))),
% 2.57/2.71     inference(scs_inference,[],[34,55,44,47,27,28,29,30,32,40,41,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84,76,75,73,72,80,79,92])).
% 2.57/2.71  cnf(178,plain,
% 2.57/2.71     (E(f18(a5,f16(a5)),f15(f13(a5)))),
% 2.57/2.71     inference(scs_inference,[],[34,55,44,47,27,28,29,30,32,40,41,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84,76,75,73,72,80,79,92,91])).
% 2.57/2.71  cnf(182,plain,
% 2.57/2.71     (P2(f20(a5),f19(f13(a7)))),
% 2.57/2.71     inference(scs_inference,[],[34,55,44,47,27,28,29,30,32,40,41,48,60,50,56,57,102,105,113,52,54,2,77,90,23,20,19,18,15,82,95,74,89,65,64,63,83,71,70,69,68,67,13,12,11,10,9,8,7,6,5,4,78,24,17,14,88,87,86,85,84,76,75,73,72,80,79,92,91,93,22])).
% 2.57/2.71  cnf(194,plain,
% 2.57/2.71     (P1(f18(f14(x1941),a7))),
% 2.57/2.71     inference(scs_inference,[],[45,51,87,86,85])).
% 2.57/2.71  cnf(196,plain,
% 2.57/2.71     (P5(a1)),
% 2.57/2.71     inference(scs_inference,[],[45,37,51,27,123,87,86,85,74])).
% 2.57/2.71  cnf(200,plain,
% 2.57/2.71     (~P2(a12,f19(f14(x2001)))),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,37,51,27,44,112,123,87,86,85,74,93,95])).
% 2.57/2.71  cnf(205,plain,
% 2.57/2.71     (P1(f8(f19(a1)))),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,51,57,27,44,115,112,123,87,86,85,74,93,95,80,14,82])).
% 2.57/2.71  cnf(211,plain,
% 2.57/2.71     (P1(f18(a7,f14(x2111)))),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,51,58,57,27,44,115,112,123,87,86,85,74,93,95,80,14,82,96,88,84])).
% 2.57/2.71  cnf(219,plain,
% 2.57/2.71     (E(f18(f16(a4),a4),f15(f20(a4)))),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,51,58,57,27,44,115,112,123,87,86,85,74,93,95,80,14,82,96,88,84,73,72,79,92])).
% 2.57/2.71  cnf(221,plain,
% 2.57/2.71     (E(f18(a4,f16(a4)),f15(f13(a4)))),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,51,58,57,27,44,115,112,123,87,86,85,74,93,95,80,14,82,96,88,84,73,72,79,92,91])).
% 2.57/2.71  cnf(223,plain,
% 2.57/2.71     (E(f18(a5,f16(a5)),f18(a5,a7))),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,51,58,57,56,27,44,115,178,112,123,87,86,85,74,93,95,80,14,82,96,88,84,73,72,79,92,91,3])).
% 2.57/2.71  cnf(228,plain,
% 2.57/2.71     (~P8(a12,f14(x2281))),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,59,51,58,57,56,27,44,115,178,112,123,87,86,85,74,93,95,80,14,82,96,88,84,73,72,79,92,91,3,2,21,81,83])).
% 2.57/2.71  cnf(230,plain,
% 2.57/2.71     (P2(f13(a7),f19(f20(a5)))),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,59,51,58,57,56,27,44,115,141,178,127,112,123,87,86,85,74,93,95,80,14,82,96,88,84,73,72,79,92,91,3,2,21,81,83,23])).
% 2.57/2.71  cnf(231,plain,
% 2.57/2.71     (P8(f15(f13(a5)),f18(a5,a7))),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,59,51,58,57,55,56,27,44,115,141,178,127,112,123,87,86,85,74,93,95,80,14,82,96,88,84,73,72,79,92,91,3,2,21,81,83,23,19])).
% 2.57/2.71  cnf(232,plain,
% 2.57/2.71     (P8(x2321,x2321)),
% 2.57/2.71     inference(rename_variables,[],[55])).
% 2.57/2.71  cnf(235,plain,
% 2.57/2.71     (~E(a12,a1)),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,59,51,58,57,55,232,56,27,44,115,141,178,127,99,112,123,87,86,85,74,93,95,80,14,82,96,88,84,73,72,79,92,91,3,2,21,81,83,23,19,18,17])).
% 2.57/2.71  cnf(242,plain,
% 2.57/2.71     (P2(x2421,f19(f19(f14(x2422))))+~E(f14(f19(f14(x2422))),x2421)),
% 2.57/2.71     inference(scs_inference,[],[34,35,45,33,37,42,46,61,59,51,58,57,55,232,56,27,44,115,141,178,127,99,168,170,112,123,87,86,85,74,93,95,80,14,82,96,88,84,73,72,79,92,91,3,2,21,81,83,23,19,18,17,76,75,97,22])).
% 2.57/2.71  cnf(249,plain,
% 2.57/2.71     (~P2(a12,f19(a2))),
% 2.57/2.71     inference(scs_inference,[],[28,112,95])).
% 2.57/2.71  cnf(251,plain,
% 2.57/2.71     (P2(x2511,f19(x2511))),
% 2.57/2.71     inference(scs_inference,[],[28,55,112,95,83])).
% 2.57/2.71  cnf(256,plain,
% 2.57/2.71     (P2(f8(x2561),x2561)),
% 2.57/2.71     inference(rename_variables,[],[57])).
% 2.57/2.72  cnf(262,plain,
% 2.57/2.72     (~E(f19(a12),f19(f14(x2621)))),
% 2.57/2.72     inference(scs_inference,[],[35,28,32,40,57,55,45,200,117,112,95,83,80,96,93,92,23])).
% 2.57/2.72  cnf(263,plain,
% 2.57/2.72     (P6(f14(x2631),f19(x2631))),
% 2.57/2.72     inference(scs_inference,[],[35,62,28,32,40,57,58,55,45,200,117,112,95,83,80,96,93,92,23,82])).
% 2.57/2.72  cnf(266,plain,
% 2.57/2.72     (E(f13(a11),f20(f16(a11)))),
% 2.57/2.72     inference(scs_inference,[],[35,62,28,32,40,57,58,55,45,200,117,112,95,83,80,96,93,92,23,82,79])).
% 2.57/2.72  cnf(272,plain,
% 2.57/2.72     (E(f18(a5,a7),f15(f13(a5)))),
% 2.57/2.72     inference(scs_inference,[],[35,62,28,32,40,57,58,55,56,45,101,200,228,117,112,95,83,80,96,93,92,23,82,79,91,19,18,2])).
% 2.57/2.72  cnf(273,plain,
% 2.57/2.72     (P6(f14(f13(a7)),f19(f20(a5)))),
% 2.57/2.72     inference(scs_inference,[],[35,62,28,32,40,57,58,55,56,45,101,200,228,117,141,112,95,83,80,96,93,92,23,82,79,91,19,18,2,17])).
% 2.57/2.72  cnf(275,plain,
% 2.57/2.72     (~E(f8(f19(a2)),a12)),
% 2.57/2.72     inference(scs_inference,[],[35,62,28,32,40,57,256,58,55,56,45,101,200,228,117,235,125,141,112,95,83,80,96,93,92,23,82,79,91,19,18,2,17,3,22])).
% 2.57/2.72  cnf(280,plain,
% 2.57/2.72     (P2(f14(f13(a7)),f19(f20(a5)))),
% 2.57/2.72     inference(scs_inference,[],[35,62,28,32,40,57,256,58,55,56,45,101,119,200,228,117,235,125,141,112,95,83,80,96,93,92,23,82,79,91,19,18,2,17,3,22,16,89,81])).
% 2.57/2.72  cnf(293,plain,
% 2.57/2.72     (P6(f14(x2931),f19(x2931))),
% 2.57/2.72     inference(rename_variables,[],[263])).
% 2.57/2.72  cnf(294,plain,
% 2.57/2.72     (~P6(f19(x2941),f14(x2941))),
% 2.57/2.72     inference(scs_inference,[],[263,293,146,16,89])).
% 2.57/2.72  cnf(296,plain,
% 2.57/2.72     (~P8(a12,a2)),
% 2.57/2.72     inference(scs_inference,[],[263,293,249,146,16,89,83])).
% 2.57/2.72  cnf(301,plain,
% 2.57/2.72     (P2(x3011,f19(x3011))),
% 2.57/2.72     inference(rename_variables,[],[251])).
% 2.57/2.72  cnf(304,plain,
% 2.57/2.72     (P2(f8(x3041),x3041)),
% 2.57/2.72     inference(rename_variables,[],[57])).
% 2.57/2.72  cnf(309,plain,
% 2.57/2.72     (P2(f8(x3091),x3091)),
% 2.57/2.72     inference(rename_variables,[],[57])).
% 2.57/2.72  cnf(310,plain,
% 2.57/2.72     (P1(f8(f19(a9)))),
% 2.57/2.72     inference(scs_inference,[],[35,31,38,29,98,57,304,309,45,251,263,293,249,146,16,89,83,81,96,95,93,23,82])).
% 2.57/2.72  cnf(318,plain,
% 2.57/2.72     (E(f18(f13(a7),f13(a7)),f18(f20(a5),f20(a5)))),
% 2.57/2.72     inference(scs_inference,[],[35,31,38,29,61,98,57,304,309,56,45,251,301,263,293,262,249,143,144,146,152,101,16,89,83,81,96,95,93,23,82,19,2,14,22,17,3])).
% 2.57/2.72  cnf(325,plain,
% 2.57/2.72     (P5(a9)+~P3(a9)),
% 2.57/2.72     inference(scs_inference,[],[35,31,38,29,61,98,57,304,309,55,56,45,251,301,263,293,262,219,249,121,143,144,146,152,101,16,89,83,81,96,95,93,23,82,19,2,14,22,17,3,11,18,21,74])).
% 2.57/2.72  cnf(331,plain,
% 2.57/2.72     (~P2(f19(f20(a5)),f19(a11))),
% 2.57/2.72     inference(scs_inference,[],[30,273,89,95])).
% 2.57/2.72  cnf(335,plain,
% 2.57/2.72     (E(f19(f20(a5)),f19(f13(a7)))),
% 2.57/2.72     inference(scs_inference,[],[30,98,273,231,89,95,83,11])).
% 2.57/2.72  cnf(336,plain,
% 2.57/2.72     (P6(f8(a17),a17)),
% 2.57/2.72     inference(scs_inference,[],[30,61,57,98,273,231,89,95,83,11,82])).
% 2.57/2.72  cnf(337,plain,
% 2.57/2.72     (P2(f8(x3371),x3371)),
% 2.57/2.72     inference(rename_variables,[],[57])).
% 2.57/2.72  cnf(339,plain,
% 2.57/2.72     (P8(f18(f13(a7),f13(a7)),f18(f20(a5),f20(a5)))),
% 2.57/2.72     inference(scs_inference,[],[30,61,57,98,55,273,318,231,89,95,83,11,82,19])).
% 2.57/2.72  cnf(340,plain,
% 2.57/2.72     (P8(x3401,x3401)),
% 2.57/2.72     inference(rename_variables,[],[55])).
% 2.57/2.72  cnf(343,plain,
% 2.57/2.72     (E(f18(f20(a5),f20(a5)),f18(f13(a7),f13(a7)))),
% 2.57/2.72     inference(scs_inference,[],[30,61,57,337,98,55,56,273,318,231,89,95,83,11,82,19,23,2])).
% 2.57/2.72  cnf(347,plain,
% 2.57/2.72     (~E(a17,a1)),
% 2.57/2.72     inference(scs_inference,[],[99,30,61,57,337,98,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17])).
% 2.57/2.72  cnf(349,plain,
% 2.57/2.72     (P4(f13(a11))),
% 2.57/2.72     inference(scs_inference,[],[99,30,61,57,337,98,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69])).
% 2.57/2.72  cnf(351,plain,
% 2.57/2.72     (P2(f10(f19(x3511)),f19(f19(x3511)))),
% 2.57/2.72     inference(scs_inference,[],[62,99,30,61,57,337,98,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69,78])).
% 2.57/2.72  cnf(357,plain,
% 2.57/2.72     (P3(a2)),
% 2.69/2.72     inference(scs_inference,[],[62,99,30,28,61,57,337,98,51,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69,78,65,68,64])).
% 2.69/2.72  cnf(359,plain,
% 2.69/2.72     (~P1(f10(f19(x3591)))),
% 2.69/2.72     inference(scs_inference,[],[62,99,30,28,61,57,337,98,51,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69,78,65,68,64,71])).
% 2.69/2.72  cnf(365,plain,
% 2.69/2.72     (E(f15(f20(a5)),f15(f13(a7)))),
% 2.69/2.72     inference(scs_inference,[],[62,99,30,28,61,57,337,98,51,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69,78,65,68,64,71,70,13,12,7])).
% 2.69/2.72  cnf(366,plain,
% 2.69/2.72     (E(a11,a1)),
% 2.69/2.72     inference(scs_inference,[],[62,99,30,28,61,57,337,98,51,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69,78,65,68,64,71,70,13,12,7,63])).
% 2.69/2.72  cnf(368,plain,
% 2.69/2.72     (P8(f14(x3681),x3681)),
% 2.69/2.72     inference(scs_inference,[],[62,99,30,28,61,58,57,337,98,51,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69,78,65,68,64,71,70,13,12,7,63,90])).
% 2.69/2.72  cnf(370,plain,
% 2.69/2.72     (P1(f13(a11))),
% 2.69/2.72     inference(scs_inference,[],[62,99,30,28,61,58,57,337,98,51,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69,78,65,68,64,71,70,13,12,7,63,90,67])).
% 2.69/2.72  cnf(373,plain,
% 2.69/2.72     (E(f18(x3731,f20(a5)),f18(x3731,f13(a7)))),
% 2.69/2.72     inference(scs_inference,[],[62,99,30,28,61,58,57,337,98,51,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69,78,65,68,64,71,70,13,12,7,63,90,67,10,9])).
% 2.69/2.72  cnf(375,plain,
% 2.69/2.72     (E(f14(f20(a5)),f14(f13(a7)))),
% 2.69/2.72     inference(scs_inference,[],[62,99,30,28,61,58,57,337,98,51,55,340,56,273,318,231,296,89,95,83,11,82,19,23,2,14,18,17,69,78,65,68,64,71,70,13,12,7,63,90,67,10,9,8,6])).
% 2.69/2.72  cnf(379,plain,
% 2.69/2.72     (P2(f14(x3791),f19(x3791))),
% 2.69/2.72     inference(rename_variables,[],[58])).
% 2.69/2.72  cnf(382,plain,
% 2.69/2.72     (~E(f14(a11),f19(f20(a5)))),
% 2.69/2.72     inference(scs_inference,[],[62,99,30,28,61,58,379,57,337,98,51,55,340,56,273,318,231,296,249,112,89,95,83,11,82,19,23,2,14,18,17,69,78,65,68,64,71,70,13,12,7,63,90,67,10,9,8,6,5,4,96,16,22])).
% 2.69/2.72  cnf(399,plain,
% 2.69/2.72     (~P8(f19(f20(a5)),a11)),
% 2.69/2.72     inference(scs_inference,[],[266,331,349,336,15,89,81,83])).
% 2.69/2.72  cnf(405,plain,
% 2.69/2.72     (P6(f8(f19(x4051)),f19(x4051))),
% 2.69/2.72     inference(scs_inference,[],[62,57,58,266,331,349,336,141,15,89,81,83,96,16,82])).
% 2.69/2.72  cnf(408,plain,
% 2.69/2.72     (~E(f19(f19(f20(a5))),f19(a11))),
% 2.69/2.72     inference(scs_inference,[],[62,57,58,266,331,349,336,251,141,15,89,81,83,96,16,82,23])).
% 2.69/2.72  cnf(410,plain,
% 2.69/2.72     (~E(f19(f20(a5)),a11)),
% 2.69/2.72     inference(scs_inference,[],[62,57,58,55,266,331,349,336,251,141,15,89,81,83,96,16,82,23,19])).
% 2.69/2.72  cnf(430,plain,
% 2.69/2.72     (~P2(f19(f13(a7)),f19(a11))),
% 2.69/2.72     inference(scs_inference,[],[44,39,62,28,57,58,55,294,375,266,331,382,349,370,336,347,357,366,251,141,15,89,81,83,96,16,82,23,19,18,2,14,17,3,86,88,87,85,84,73,90])).
% 2.69/2.72  cnf(441,plain,
% 2.69/2.72     (P4(f18(a7,a9))),
% 2.69/2.72     inference(scs_inference,[],[45,29,86])).
% 2.69/2.72  cnf(457,plain,
% 2.69/2.72     (~P6(f19(x4571),f8(f19(x4571)))),
% 2.69/2.72     inference(scs_inference,[],[45,43,31,38,29,405,280,86,84,88,73,87,85,72,90,89])).
% 2.69/2.72  cnf(459,plain,
% 2.69/2.72     (E(f19(a11),f19(a1))),
% 2.69/2.72     inference(scs_inference,[],[45,43,31,38,29,405,280,366,86,84,88,73,87,85,72,90,89,11])).
% 2.69/2.72  cnf(460,plain,
% 2.69/2.72     (P6(f8(f10(a12)),f10(a12))),
% 2.69/2.72     inference(scs_inference,[],[45,43,31,38,29,57,405,280,129,366,86,84,88,73,87,85,72,90,89,11,82])).
% 2.69/2.72  cnf(464,plain,
% 2.69/2.72     (P8(f18(x4641,f13(a7)),f18(x4641,f20(a5)))),
% 2.69/2.72     inference(scs_inference,[],[45,43,31,38,29,57,55,56,368,405,280,373,129,366,86,84,88,73,87,85,72,90,89,11,82,19,18])).
% 2.69/2.72  cnf(466,plain,
% 2.69/2.72     (E(f15(f13(a4)),f18(a4,f16(a4)))),
% 2.69/2.72     inference(scs_inference,[],[45,43,31,38,29,57,55,56,368,405,280,373,221,129,366,86,84,88,73,87,85,72,90,89,11,82,19,18,2])).
% 2.69/2.72  cnf(471,plain,
% 2.69/2.72     (~E(f19(f13(a7)),a11)),
% 2.69/2.72     inference(scs_inference,[],[45,43,31,99,38,61,29,57,28,55,56,368,405,280,373,410,335,221,223,129,366,251,86,84,88,73,87,85,72,90,89,11,82,19,18,2,14,17,22,3])).
% 2.69/2.72  cnf(479,plain,
% 2.69/2.72     (E(f13(a1),f20(f16(a1)))),
% 2.69/2.72     inference(scs_inference,[],[45,43,37,31,99,38,47,61,29,57,28,55,56,368,405,280,373,410,335,221,223,129,196,123,366,251,86,84,88,73,87,85,72,90,89,11,82,19,18,2,14,17,22,3,80,92,21,91,79])).
% 2.69/2.72  cnf(500,plain,
% 2.69/2.72     (E(f13(f16(a2)),f20(a2))),
% 2.69/2.72     inference(scs_inference,[],[39,28,357,74,80])).
% 2.69/2.72  cnf(502,plain,
% 2.69/2.72     (E(f18(f16(a2),a2),f15(f20(a2)))),
% 2.69/2.72     inference(scs_inference,[],[39,28,357,74,80,92])).
% 2.69/2.72  cnf(506,plain,
% 2.69/2.72     (E(f13(a2),f20(f16(a2)))),
% 2.69/2.72     inference(scs_inference,[],[39,28,357,74,80,92,91,79])).
% 2.69/2.72  cnf(511,plain,
% 2.69/2.72     (P2(f14(x5111),f19(x5111))),
% 2.69/2.72     inference(rename_variables,[],[58])).
% 2.69/2.72  cnf(514,plain,
% 2.69/2.72     (P8(f8(f19(x5141)),x5141)),
% 2.69/2.72     inference(rename_variables,[],[101])).
% 2.69/2.72  cnf(515,plain,
% 2.69/2.72     (~E(f8(f19(a11)),f19(f20(a5)))),
% 2.69/2.72     inference(scs_inference,[],[101,514,39,58,28,50,399,460,430,357,74,80,92,91,79,89,96,19,18])).
% 2.69/2.72  cnf(516,plain,
% 2.69/2.72     (P2(f14(a11),f19(a1))),
% 2.69/2.72     inference(scs_inference,[],[101,514,39,58,511,28,50,399,460,459,430,357,74,80,92,91,79,89,96,19,18,23])).
% 2.69/2.72  cnf(518,plain,
% 2.69/2.72     (~E(f10(a12),a1)),
% 2.69/2.72     inference(scs_inference,[],[101,514,99,39,58,511,28,50,399,460,459,430,357,74,80,92,91,79,89,96,19,18,23,17])).
% 2.69/2.72  cnf(521,plain,
% 2.69/2.72     (~E(f14(x5211),f10(f19(x5212)))),
% 2.69/2.72     inference(scs_inference,[],[101,514,99,39,58,511,51,28,50,359,399,408,460,459,430,357,74,80,92,91,79,89,96,19,18,23,17,2,14])).
% 2.69/2.72  cnf(544,plain,
% 2.69/2.72     (P3(a9)),
% 2.69/2.72     inference(scs_inference,[],[29,64])).
% 2.69/2.72  cnf(549,plain,
% 2.69/2.72     (E(f19(f19(a11)),f19(f19(a1)))),
% 2.69/2.72     inference(scs_inference,[],[54,52,29,459,64,93,11])).
% 2.69/2.72  cnf(554,plain,
% 2.69/2.72     (P6(f14(a11),f19(a1))),
% 2.69/2.72     inference(scs_inference,[],[54,52,29,466,459,263,430,251,64,93,11,20,23,17])).
% 2.69/2.72  cnf(556,plain,
% 2.69/2.72     (E(f15(f20(a2)),f18(f16(a2),a2))),
% 2.69/2.72     inference(scs_inference,[],[54,52,29,502,466,459,263,430,251,64,93,11,20,23,17,2])).
% 2.69/2.72  cnf(559,plain,
% 2.69/2.72     (P5(a9)),
% 2.69/2.72     inference(scs_inference,[],[54,52,29,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325])).
% 2.69/2.72  cnf(562,plain,
% 2.69/2.72     (P2(f10(a17),f19(a17))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78])).
% 2.69/2.72  cnf(570,plain,
% 2.69/2.72     (E(a9,a1)),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63])).
% 2.69/2.72  cnf(572,plain,
% 2.69/2.72     (~P1(f10(a17))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71])).
% 2.69/2.72  cnf(576,plain,
% 2.69/2.72     (E(f8(f19(a11)),f8(f19(a1)))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71,70,13])).
% 2.69/2.72  cnf(577,plain,
% 2.69/2.72     (E(f10(f19(a11)),f10(f19(a1)))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71,70,13,12])).
% 2.69/2.72  cnf(578,plain,
% 2.69/2.72     (P1(f13(a9))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71,70,13,12,67])).
% 2.69/2.72  cnf(580,plain,
% 2.69/2.72     (E(f15(f19(a11)),f15(f19(a1)))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71,70,13,12,67,7])).
% 2.69/2.72  cnf(581,plain,
% 2.69/2.72     (E(f14(f19(a11)),f14(f19(a1)))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71,70,13,12,67,7,6])).
% 2.69/2.72  cnf(583,plain,
% 2.69/2.72     (E(f18(x5831,f19(a11)),f18(x5831,f19(a1)))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71,70,13,12,67,7,6,10,9])).
% 2.69/2.72  cnf(584,plain,
% 2.69/2.72     (E(f18(f19(a11),x5841),f18(f19(a1),x5841))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71,70,13,12,67,7,6,10,9,8])).
% 2.69/2.72  cnf(587,plain,
% 2.69/2.72     (~P6(x5871,f14(a9))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,58,29,205,502,518,466,479,137,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71,70,13,12,67,7,6,10,9,8,5,4,95])).
% 2.69/2.72  cnf(593,plain,
% 2.69/2.72     (P2(f10(f19(a1)),f19(f19(a11)))),
% 2.69/2.72     inference(scs_inference,[],[54,52,61,58,29,205,502,518,466,479,137,351,459,125,263,430,251,64,93,11,20,23,17,2,14,3,325,69,78,77,65,68,63,71,70,13,12,67,7,6,10,9,8,5,4,95,76,89,22])).
% 2.69/2.72  cnf(611,plain,
% 2.69/2.72     (~P2(f19(a1),f19(a2))),
% 2.69/2.72     inference(scs_inference,[],[42,33,28,554,93,95])).
% 2.69/2.72  cnf(615,plain,
% 2.69/2.72     (~P6(f19(a1),f8(f19(f19(a2))))),
% 2.69/2.72     inference(scs_inference,[],[42,33,57,28,554,93,95,81,96])).
% 2.69/2.72  cnf(616,plain,
% 2.69/2.72     (P2(f8(x6161),x6161)),
% 2.69/2.72     inference(rename_variables,[],[57])).
% 2.69/2.72  cnf(618,plain,
% 2.69/2.72     (P6(f8(f10(a17)),f10(a17))),
% 2.69/2.72     inference(scs_inference,[],[42,33,57,616,28,554,572,93,95,81,96,82])).
% 2.69/2.72  cnf(619,plain,
% 2.69/2.72     (P2(f8(x6191),x6191)),
% 2.69/2.72     inference(rename_variables,[],[57])).
% 2.69/2.72  cnf(625,plain,
% 2.69/2.72     (P2(f8(x6251),x6251)),
% 2.69/2.72     inference(rename_variables,[],[57])).
% 2.69/2.72  cnf(627,plain,
% 2.69/2.72     (P2(f8(f19(a1)),f19(a11))),
% 2.69/2.72     inference(scs_inference,[],[42,33,60,57,616,619,625,28,30,521,576,587,554,572,570,93,95,81,96,82,17,2,23,14,22])).
% 2.69/2.72  cnf(629,plain,
% 2.69/2.72     (E(f18(f19(a11),f19(a11)),f18(f19(a1),f19(a1)))),
% 2.69/2.72     inference(scs_inference,[],[42,33,60,57,616,619,625,28,30,521,583,584,576,587,554,572,570,93,95,81,96,82,17,2,23,14,22,3])).
% 2.69/2.72  cnf(632,plain,
% 2.69/2.72     (~P8(f19(a1),a2)),
% 2.69/2.72     inference(scs_inference,[],[42,33,60,57,616,619,625,28,30,521,583,584,576,587,554,572,570,93,95,81,96,82,17,2,23,14,22,3,83])).
% 2.69/2.72  cnf(638,plain,
% 2.69/2.72     (~P8(f19(a11),a2)),
% 2.69/2.72     inference(scs_inference,[],[42,33,60,62,57,616,619,625,28,30,521,583,584,576,587,554,572,570,459,93,95,81,96,82,17,2,23,14,22,3,83,76,89,18])).
% 2.69/2.72  cnf(653,plain,
% 2.69/2.72     (P6(f14(f19(a1)),f19(f19(a11)))),
% 2.69/2.72     inference(scs_inference,[],[54,593,618,562,556,581,263,90,15,96,16])).
% 2.69/2.72  cnf(655,plain,
% 2.69/2.72     (P6(f20(a5),f19(f13(a7)))),
% 2.69/2.72     inference(scs_inference,[],[54,62,182,593,618,562,556,581,263,90,15,96,16,82])).
% 2.69/2.72  cnf(658,plain,
% 2.69/2.72     (P8(f18(f19(a1),f19(a1)),f18(f19(a11),f19(a11)))),
% 2.69/2.72     inference(scs_inference,[],[54,62,55,182,593,629,618,562,556,581,263,90,15,96,16,82,18])).
% 2.69/2.72  cnf(664,plain,
% 2.69/2.72     (P2(f14(x6641),f19(x6641))),
% 2.69/2.72     inference(rename_variables,[],[58])).
% 2.69/2.72  cnf(668,plain,
% 2.69/2.72     (~E(f8(f19(a11)),f19(f13(a7)))),
% 2.69/2.72     inference(scs_inference,[],[54,99,62,58,664,55,30,182,515,593,611,629,618,562,556,581,164,549,263,141,90,15,96,16,82,18,17,2,23,22,14,3])).
% 2.69/2.72  cnf(708,plain,
% 2.69/2.72     (~P2(f19(a11),f19(a2))),
% 2.69/2.72     inference(scs_inference,[],[106,43,54,51,638,110,84,85,73,87,86,88,72,90])).
% 2.69/2.72  cnf(712,plain,
% 2.69/2.72     (~P6(f19(a1),f14(f19(a2)))),
% 2.69/2.72     inference(scs_inference,[],[106,43,54,58,51,638,110,611,84,85,73,87,86,88,72,90,81,96])).
% 2.69/2.72  cnf(715,plain,
% 2.69/2.72     (~P6(f19(f13(a7)),f20(a5))),
% 2.69/2.72     inference(scs_inference,[],[106,43,54,58,51,655,638,110,611,84,85,73,87,86,88,72,90,81,96,89])).
% 2.69/2.72  cnf(719,plain,
% 2.69/2.72     (~E(f8(f19(a2)),f19(a1))),
% 2.69/2.72     inference(scs_inference,[],[106,101,43,54,58,51,98,464,655,632,638,110,343,611,84,85,73,87,86,88,72,90,81,96,89,16,19,18])).
% 2.69/2.72  cnf(722,plain,
% 2.69/2.72     (~E(f8(f19(a1)),f19(f13(a7)))),
% 2.69/2.72     inference(scs_inference,[],[50,106,101,43,54,58,51,98,471,464,627,655,632,638,110,343,611,430,84,85,73,87,86,88,72,90,81,96,89,16,19,18,17,2,22])).
% 2.69/2.72  cnf(744,plain,
% 2.69/2.72     (E(f13(f16(a9)),f20(a9))),
% 2.69/2.72     inference(scs_inference,[],[559,544,121,80])).
% 2.69/2.72  cnf(746,plain,
% 2.69/2.72     (E(f18(f16(a9),a9),f15(f20(a9)))),
% 2.69/2.72     inference(scs_inference,[],[559,544,121,80,92])).
% 2.69/2.72  cnf(752,plain,
% 2.69/2.72     (E(f13(a9),f20(f16(a9)))),
% 2.69/2.72     inference(scs_inference,[],[106,42,33,559,544,121,110,80,92,91,93,79])).
% 2.69/2.72  cnf(756,plain,
% 2.69/2.72     (E(f19(a9),f19(a1))),
% 2.69/2.72     inference(scs_inference,[],[106,42,33,516,559,544,121,570,110,80,92,91,93,79,90,11])).
% 2.69/2.72  cnf(758,plain,
% 2.69/2.72     (P2(f8(x7581),x7581)),
% 2.69/2.72     inference(rename_variables,[],[57])).
% 2.69/2.72  cnf(761,plain,
% 2.69/2.72     (P6(f8(f13(a12)),f13(a12))),
% 2.69/2.72     inference(scs_inference,[],[106,42,33,57,758,516,708,712,559,544,166,121,570,110,459,80,92,91,93,79,90,11,96,16,82])).
% 2.69/2.72  cnf(762,plain,
% 2.69/2.72     (P2(f8(x7621),x7621)),
% 2.69/2.72     inference(rename_variables,[],[57])).
% 2.69/2.72  cnf(765,plain,
% 2.69/2.72     (P3(f15(x7651))),
% 2.69/2.72     inference(rename_variables,[],[52])).
% 2.69/2.72  cnf(766,plain,
% 2.69/2.72     (~E(f8(f19(a2)),f19(a11))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,52,57,758,516,708,712,559,544,166,638,556,121,570,110,459,80,92,91,93,79,90,11,96,16,82,20,18])).
% 2.69/2.72  cnf(767,plain,
% 2.69/2.72     (P8(f8(f19(x7671)),x7671)),
% 2.69/2.72     inference(rename_variables,[],[101])).
% 2.69/2.72  cnf(768,plain,
% 2.69/2.72     (~P6(f19(f13(a7)),f13(f16(a5)))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,52,57,758,516,708,712,715,559,544,172,166,638,556,121,570,110,459,80,92,91,93,79,90,11,96,16,82,20,18,17])).
% 2.69/2.72  cnf(775,plain,
% 2.69/2.72     (E(f18(f16(a5),a5),f15(f13(a7)))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,29,516,708,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3])).
% 2.69/2.72  cnf(780,plain,
% 2.69/2.72     (~P6(x7801,f14(x7802))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77])).
% 2.69/2.72  cnf(782,plain,
% 2.69/2.72     (E(f14(x7821),a1)),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63])).
% 2.69/2.72  cnf(790,plain,
% 2.69/2.72     (~P1(f10(f13(a12)))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,310,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71])).
% 2.69/2.72  cnf(792,plain,
% 2.69/2.72     (E(f8(a9),f8(a1))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,310,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71,13])).
% 2.69/2.72  cnf(793,plain,
% 2.69/2.72     (E(f10(a9),f10(a1))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,310,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71,13,12])).
% 2.69/2.72  cnf(794,plain,
% 2.69/2.72     (P1(f13(a2))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,310,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71,13,12,67])).
% 2.69/2.72  cnf(797,plain,
% 2.69/2.72     (E(f14(a9),f14(a1))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,310,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71,13,12,67,7,6])).
% 2.69/2.72  cnf(798,plain,
% 2.69/2.72     (E(f13(a9),f13(a1))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,310,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71,13,12,67,7,6,4])).
% 2.69/2.72  cnf(800,plain,
% 2.69/2.72     (E(f18(x8001,a9),f18(x8001,a1))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,310,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71,13,12,67,7,6,4,10,9])).
% 2.69/2.72  cnf(801,plain,
% 2.69/2.72     (E(f18(a9,x8011),f18(a1,x8011))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,310,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71,13,12,67,7,6,4,10,9,8])).
% 2.69/2.72  cnf(802,plain,
% 2.69/2.72     (E(f20(a9),f20(a1))),
% 2.69/2.72     inference(scs_inference,[],[106,101,42,33,60,52,57,758,762,28,51,29,516,708,310,712,715,580,559,500,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71,13,12,67,7,6,4,10,9,8,5])).
% 2.69/2.72  cnf(809,plain,
% 2.69/2.72     (P8(f8(f19(a9)),a1)),
% 2.69/2.72     inference(scs_inference,[],[106,101,767,42,54,33,60,52,765,57,758,762,28,51,29,516,708,310,712,715,580,559,500,506,544,365,176,172,166,638,556,121,570,110,251,459,80,92,91,93,79,90,11,96,16,82,20,18,17,2,14,22,23,3,69,78,77,63,65,68,70,71,13,12,67,7,6,4,10,9,8,5,74,89,15,19])).
% 2.69/2.72  cnf(817,plain,
% 2.69/2.72     (E(f14(x8171),a1)),
% 2.69/2.72     inference(rename_variables,[],[782])).
% 2.69/2.72  cnf(818,plain,
% 2.69/2.72     (~E(f20(f16(a5)),f13(a5))),
% 2.69/2.72     inference(scs_inference,[],[59,775,782,272,168,170,35,34,44,45,242,97])).
% 2.69/2.72  cnf(820,plain,
% 2.69/2.72     (P2(f8(f10(a12)),a12)),
% 2.69/2.72     inference(scs_inference,[],[59,775,782,149,272,460,168,170,35,34,44,45,242,97,96])).
% 2.69/2.72  cnf(824,plain,
% 2.69/2.72     (P6(f13(a7),f19(f20(a5)))),
% 2.69/2.72     inference(scs_inference,[],[59,62,230,775,782,817,653,149,272,460,168,170,35,34,44,45,242,97,96,16,82])).
% 2.69/2.72  cnf(827,plain,
% 2.69/2.72     (P8(f15(f13(a7)),f18(f16(a5),a5))),
% 2.69/2.72     inference(scs_inference,[],[59,62,55,230,775,782,817,653,149,272,460,168,170,35,34,44,45,242,97,96,16,82,18])).
% 2.69/2.72  cnf(829,plain,
% 2.69/2.72     (~E(f13(a12),a1)),
% 2.69/2.72     inference(scs_inference,[],[59,99,62,55,230,775,761,782,817,653,149,272,460,168,170,35,34,44,45,242,97,96,16,82,18,17])).
% 2.69/2.72  cnf(840,plain,
% 2.69/2.72     (P2(a1,f19(f19(a11)))),
% 2.69/2.72     inference(scs_inference,[],[59,99,62,58,55,27,51,230,275,775,722,790,761,756,782,817,653,149,272,335,460,168,170,35,34,44,45,242,97,96,16,82,18,17,2,14,23,3,64,95,81])).
% 2.69/2.72  cnf(854,plain,
% 2.69/2.72     (~P2(f19(f20(a5)),f19(a2))),
% 2.69/2.72     inference(scs_inference,[],[28,824,95])).
% 2.69/2.72  cnf(856,plain,
% 2.69/2.72     (~P8(f19(f20(a5)),a2)),
% 2.69/2.72     inference(scs_inference,[],[28,824,95,83])).
% 2.69/2.72  cnf(864,plain,
% 2.69/2.72     (P6(f20(a5),f19(f20(a5)))),
% 2.69/2.72     inference(scs_inference,[],[28,800,824,441,593,331,50,95,83,81,15,96,16])).
% 2.69/2.72  cnf(870,plain,
% 2.69/2.72     (~P6(f19(f20(a5)),f10(f19(a11)))),
% 2.69/2.72     inference(scs_inference,[],[28,339,800,824,441,577,359,593,143,331,50,95,83,81,15,96,16,82,18,17])).
% 2.69/2.72  cnf(873,plain,
% 2.69/2.72     (E(f15(f20(a9)),f18(f16(a9),a9))),
% 2.69/2.72     inference(scs_inference,[],[57,28,746,339,800,824,441,577,359,593,143,331,50,95,83,81,15,96,16,82,18,17,22,2])).
% 2.69/2.72  cnf(876,plain,
% 2.69/2.72     (P1(f20(f16(a9)))),
% 2.69/2.72     inference(scs_inference,[],[57,28,746,752,339,800,824,441,577,578,359,593,708,143,331,251,50,95,83,81,15,96,16,82,18,17,22,2,23,14])).
% 2.69/2.72  cnf(877,plain,
% 2.69/2.72     (E(f13(f16(a5)),f13(a7))),
% 2.69/2.72     inference(scs_inference,[],[57,28,98,746,752,339,800,824,441,577,578,359,593,708,172,143,331,251,50,95,83,81,15,96,16,82,18,17,22,2,23,14,3])).
% 2.69/2.72  cnf(886,plain,
% 2.69/2.72     (P2(f8(f19(a9)),f19(a1))),
% 2.69/2.72     inference(scs_inference,[],[809,83])).
% 2.69/2.72  cnf(888,plain,
% 2.69/2.72     (P6(f8(f20(a12)),f20(a12))),
% 2.69/2.72     inference(scs_inference,[],[57,809,164,83,82])).
% 2.69/2.72  cnf(889,plain,
% 2.69/2.72     (P2(f8(x8891),x8891)),
% 2.69/2.72     inference(rename_variables,[],[57])).
% 2.69/2.72  cnf(892,plain,
% 2.69/2.72     (~P8(f19(f13(a7)),a2)),
% 2.69/2.72     inference(scs_inference,[],[57,615,809,856,756,164,141,83,82,16,18])).
% 2.69/2.72  cnf(894,plain,
% 2.69/2.72     (P2(f8(x8941),x8941)),
% 2.69/2.72     inference(rename_variables,[],[57])).
% 2.69/2.72  cnf(902,plain,
% 2.69/2.72     (P1(f18(a1,a11))),
% 2.69/2.72     inference(scs_inference,[],[40,60,57,889,894,27,780,668,744,615,162,864,792,802,809,856,756,164,141,83,82,16,18,22,17,2,23,14,3,85])).
% 2.69/2.72  cnf(906,plain,
% 2.69/2.72     (P4(f18(a1,a11))),
% 2.69/2.72     inference(scs_inference,[],[40,60,57,889,894,27,780,668,744,615,162,864,792,802,809,856,756,164,141,83,82,16,18,22,17,2,23,14,3,85,84,87])).
% 2.69/2.72  cnf(918,plain,
% 2.69/2.72     (~P2(f19(f13(a7)),f19(a2))),
% 2.69/2.72     inference(scs_inference,[],[32,40,60,57,889,894,27,780,668,744,615,162,864,792,802,809,856,756,164,141,83,82,16,18,22,17,2,23,14,3,85,84,87,88,72,73,86,93,90])).
% 2.69/2.72  cnf(936,plain,
% 2.69/2.72     (P1(f18(a1,f18(a5,a7)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,51,68,85])).
% 2.69/2.72  cnf(940,plain,
% 2.69/2.72     (P4(f18(a1,f18(a5,a7)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,51,68,85,84,87])).
% 2.69/2.72  cnf(944,plain,
% 2.69/2.72     (P4(f18(f18(a5,a7),f18(a5,a7)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,42,33,51,68,85,84,87,73,88])).
% 2.69/2.72  cnf(950,plain,
% 2.69/2.72     (P3(f18(f18(a5,a7),f18(a5,a7)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,106,42,33,51,68,85,84,87,73,88,72,86,93])).
% 2.69/2.72  cnf(960,plain,
% 2.69/2.72     (P6(f14(a1),f19(a9))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,42,33,62,51,840,886,827,873,797,176,263,68,85,84,87,73,88,72,86,93,90,15,19,82,16])).
% 2.69/2.72  cnf(966,plain,
% 2.69/2.72     (~E(f20(a12),a1)),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,840,886,827,873,888,797,176,263,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17])).
% 2.69/2.72  cnf(968,plain,
% 2.69/2.72     (P2(f18(a1,x9681),f19(f18(a9,x9681)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,840,886,827,873,801,888,797,176,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22])).
% 2.69/2.72  cnf(970,plain,
% 2.69/2.72     (E(f18(a1,x9701),f18(a9,x9701))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,840,886,827,873,801,888,797,176,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2])).
% 2.69/2.72  cnf(973,plain,
% 2.69/2.72     (~E(f8(f19(a2)),f19(a9))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,801,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3])).
% 2.69/2.72  cnf(978,plain,
% 2.69/2.72     (E(f18(f14(x9781),a7),a1)),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63])).
% 2.69/2.72  cnf(980,plain,
% 2.69/2.72     (~P6(x9801,f18(f14(x9802),a7))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63,77])).
% 2.69/2.72  cnf(988,plain,
% 2.69/2.72     (E(f10(f18(a9,x9881)),f10(f18(a1,x9881)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,876,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63,77,65,70,71,12])).
% 2.69/2.72  cnf(991,plain,
% 2.69/2.72     (E(f8(f18(a9,x9911)),f8(f18(a1,x9911)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,876,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63,77,65,70,71,12,67,13])).
% 2.69/2.72  cnf(993,plain,
% 2.69/2.72     (E(f14(f18(a9,x9931)),f14(f18(a1,x9931)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,876,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63,77,65,70,71,12,67,13,7,6])).
% 2.69/2.72  cnf(995,plain,
% 2.69/2.72     (E(f16(f18(a9,x9951)),f16(f18(a1,x9951)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,876,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63,77,65,70,71,12,67,13,7,6,4,10])).
% 2.69/2.72  cnf(996,plain,
% 2.69/2.72     (E(f18(x9961,f18(a9,x9962)),f18(x9961,f18(a1,x9962)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,876,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63,77,65,70,71,12,67,13,7,6,4,10,9])).
% 2.69/2.72  cnf(997,plain,
% 2.69/2.72     (E(f18(f18(a9,x9971),x9972),f18(f18(a1,x9971),x9972))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,876,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63,77,65,70,71,12,67,13,7,6,4,10,9,8])).
% 2.69/2.72  cnf(999,plain,
% 2.69/2.72     (E(f19(f18(a9,x9991)),f19(f18(a1,x9991)))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,876,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63,77,65,70,71,12,67,13,7,6,4,10,9,8,5,11])).
% 2.69/2.72  cnf(1000,plain,
% 2.69/2.72     (P2(f14(a1),f19(a9))),
% 2.69/2.72     inference(scs_inference,[],[27,110,54,106,99,42,33,52,62,55,51,719,840,886,827,873,194,801,876,888,797,129,176,756,549,263,251,68,85,84,87,73,88,72,86,93,90,15,19,82,16,20,18,17,22,2,23,14,3,69,78,63,77,65,70,71,12,67,13,7,6,4,10,9,8,5,11,81])).
% 2.69/2.72  cnf(1018,plain,
% 2.69/2.72     (P4(f18(a9,f18(a5,a7)))),
% 2.69/2.72     inference(scs_inference,[],[38,31,940,970,918,93,81,15])).
% 2.69/2.72  cnf(1019,plain,
% 2.69/2.72     (E(f18(a1,x10191),f18(a9,x10191))),
% 2.69/2.72     inference(rename_variables,[],[970])).
% 2.69/2.72  cnf(1034,plain,
% 2.69/2.72     (P1(f18(a9,f18(a5,a7)))),
% 2.69/2.72     inference(scs_inference,[],[101,38,58,31,766,892,940,936,870,970,1019,960,854,918,457,782,576,359,251,93,81,15,82,16,18,17,22,2,23,14])).
% 2.69/2.72  cnf(1036,plain,
% 2.69/2.72     (E(f18(f18(a9,x10361),f18(a9,x10362)),f18(f18(a1,x10361),f18(a1,x10362)))),
% 2.69/2.72     inference(scs_inference,[],[101,38,58,31,766,996,997,892,940,936,870,970,1019,960,854,918,457,782,576,359,251,93,81,15,82,16,18,17,22,2,23,14,3])).
% 2.69/2.72  cnf(1059,plain,
% 2.69/2.72     (~P8(f19(a9),a2)),
% 2.69/2.72     inference(scs_inference,[],[768,632,918,351,756,335,96,16,18])).
% 2.69/2.72  cnf(1063,plain,
% 2.69/2.72     (P2(f8(x10631),x10631)),
% 2.69/2.72     inference(rename_variables,[],[57])).
% 2.69/2.72  cnf(1066,plain,
% 2.69/2.72     (P2(f8(x10661),x10661)),
% 2.69/2.72     inference(rename_variables,[],[57])).
% 2.69/2.72  cnf(1069,plain,
% 2.69/2.72     (~P6(x10691,f8(f19(a2)))),
% 2.69/2.72     inference(scs_inference,[],[28,112,60,57,1063,1066,768,988,991,980,877,1034,798,632,918,479,351,756,335,96,16,18,17,22,2,23,14,3,95])).
% 2.69/2.73  cnf(1074,plain,
% 2.69/2.73     (~P2(f19(a9),f19(a2))),
% 2.69/2.73     inference(scs_inference,[],[28,112,60,57,1063,1066,768,988,991,980,877,1034,1018,798,632,918,479,351,756,335,96,16,18,17,22,2,23,14,3,95,74,90])).
% 2.69/2.73  cnf(1088,plain,
% 2.69/2.73     (~P2(a12,f19(a11))),
% 2.69/2.73     inference(scs_inference,[],[112,30,95])).
% 2.69/2.73  cnf(1099,plain,
% 2.69/2.73     (P6(f14(f18(a1,x10991)),f19(f18(a9,x10991)))),
% 2.69/2.73     inference(scs_inference,[],[112,54,52,106,55,110,30,1000,993,263,95,83,93,90,19,16])).
% 2.69/2.73  cnf(1123,plain,
% 2.69/2.73     (P2(f8(x11231),x11231)),
% 2.69/2.73     inference(rename_variables,[],[57])).
% 2.69/2.73  cnf(1126,plain,
% 2.69/2.73     (E(f18(a1,x11261),f18(a9,x11261))),
% 2.69/2.73     inference(rename_variables,[],[970])).
% 2.69/2.73  cnf(1129,plain,
% 2.69/2.73     (P6(a1,f19(f18(a9,x11291)))),
% 2.69/2.73     inference(scs_inference,[],[57,1099,658,906,1088,584,970,782,81,96,15,19,16])).
% 2.69/2.73  cnf(1146,plain,
% 2.69/2.73     (E(f18(a7,f14(x11461)),a1)),
% 2.69/2.73     inference(scs_inference,[],[115,57,1123,55,995,1099,658,211,906,1059,902,978,1088,966,584,970,1126,572,576,782,251,81,96,15,19,16,18,17,22,2,23,14,3,69,78,63])).
% 2.69/2.73  cnf(1148,plain,
% 2.69/2.73     (~P6(x11481,f18(a7,f14(x11482)))),
% 2.69/2.73     inference(scs_inference,[],[115,57,1123,55,995,1099,658,211,906,1059,902,978,1088,966,584,970,1126,572,576,782,251,81,96,15,19,16,18,17,22,2,23,14,3,69,78,63,77])).
% 2.69/2.73  cnf(1173,plain,
% 2.69/2.73     (E(f14(f10(a9)),f14(f10(a1)))),
% 2.69/2.73     inference(scs_inference,[],[29,115,37,57,1123,55,995,1099,658,211,906,1059,793,902,978,1088,966,584,970,1126,572,576,782,123,251,81,96,15,19,16,18,17,22,2,23,14,3,69,78,63,77,70,68,85,71,67,87,84,13,12,88,72,73,7,6])).
% 2.69/2.73  cnf(1192,plain,
% 2.69/2.73     (P1(f18(a9,f15(x11921)))),
% 2.69/2.73     inference(scs_inference,[],[29,54,85])).
% 2.69/2.73  cnf(1194,plain,
% 2.69/2.73     (P4(f18(a9,f15(x11941)))),
% 2.69/2.73     inference(scs_inference,[],[29,54,85,87])).
% 2.69/2.73  cnf(1249,plain,
% 2.69/2.73     (P6(f14(f10(a1)),f19(f10(a9)))),
% 2.69/2.73     inference(scs_inference,[],[60,820,1194,1173,263,801,15,82,16])).
% 2.69/2.73  cnf(1290,plain,
% 2.69/2.73     (~P6(x12901,f18(a1,f15(x12902)))),
% 2.69/2.73     inference(scs_inference,[],[33,39,42,58,57,55,973,1036,1069,968,1192,1249,1146,1074,794,829,999,506,1129,782,251,357,35,45,93,82,16,18,17,22,2,23,3,14,80,95])).
% 2.69/2.73  cnf(1434,plain,
% 2.69/2.73     (P3(f18(a11,a9))),
% 2.69/2.73     inference(scs_inference,[],[32,121,40,51,950,944,544,85,87,84,86,88,73,72,93])).
% 2.69/2.73  cnf(1475,plain,
% 2.69/2.73     ($false),
% 2.69/2.73     inference(scs_inference,[],[112,57,818,1434,1148,1290,174,870,800,141,82,20,16,17,2]),
% 2.69/2.73     ['proof']).
% 2.69/2.73  % SZS output end Proof
% 2.69/2.73  % Total time :2.050000s
%------------------------------------------------------------------------------