TSTP Solution File: SEU325+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n014.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 16:19:15 EDT 2023

% Result   : Theorem 1.04s 1.13s
% Output   : CNFRefutation 1.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Aug 23 15:50:04 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 1.04/1.11  %-------------------------------------------
% 1.04/1.11  % File        :CSE---1.6
% 1.04/1.11  % Problem     :theBenchmark
% 1.04/1.11  % Transform   :cnf
% 1.04/1.11  % Format      :tptp:raw
% 1.04/1.11  % Command     :java -jar mcs_scs.jar %d %s
% 1.04/1.11  
% 1.04/1.11  % Result      :Theorem 0.490000s
% 1.04/1.11  % Output      :CNFRefutation 0.490000s
% 1.04/1.11  %-------------------------------------------
% 1.04/1.12  %------------------------------------------------------------------------------
% 1.04/1.12  % File     : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% 1.04/1.12  % Domain   : Set theory
% 1.04/1.12  % Problem  : MPTP bushy problem t5_tops_2
% 1.04/1.12  % Version  : [Urb07] axioms : Especial.
% 1.04/1.12  % English  :
% 1.04/1.12  
% 1.04/1.12  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 1.04/1.12  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 1.04/1.12  % Source   : [Urb07]
% 1.04/1.12  % Names    : bushy-t5_tops_2 [Urb07]
% 1.04/1.12  
% 1.04/1.12  % Status   : Theorem
% 1.04/1.12  % Rating   : 0.33 v8.1.0, 0.31 v7.5.0, 0.34 v7.4.0, 0.27 v7.3.0, 0.28 v7.2.0, 0.24 v7.1.0, 0.26 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.21 v6.2.0, 0.28 v6.1.0, 0.37 v6.0.0, 0.35 v5.5.0, 0.33 v5.4.0, 0.36 v5.3.0, 0.37 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.35 v4.0.1, 0.30 v4.0.0, 0.33 v3.7.0, 0.30 v3.5.0, 0.32 v3.3.0
% 1.04/1.12  % Syntax   : Number of formulae    :   49 (  10 unt;   0 def)
% 1.04/1.12  %            Number of atoms       :  146 (   7 equ)
% 1.04/1.12  %            Maximal formula atoms :    7 (   2 avg)
% 1.04/1.12  %            Number of connectives :  115 (  18   ~;   1   |;  50   &)
% 1.04/1.12  %                                         (   4 <=>;  42  =>;   0  <=;   0 <~>)
% 1.04/1.12  %            Maximal formula depth :    9 (   5 avg)
% 1.04/1.12  %            Maximal term depth    :    4 (   1 avg)
% 1.04/1.12  %            Number of predicates  :   19 (  17 usr;   1 prp; 0-2 aty)
% 1.04/1.12  %            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
% 1.04/1.12  %            Number of variables   :   74 (  66   !;   8   ?)
% 1.04/1.12  % SPC      : FOF_THM_RFO_SEQ
% 1.04/1.12  
% 1.04/1.12  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 1.04/1.12  %            library, www.mizar.org
% 1.04/1.12  %------------------------------------------------------------------------------
% 1.04/1.12  fof(antisymmetry_r2_hidden,axiom,
% 1.04/1.12      ! [A,B] :
% 1.04/1.12        ( in(A,B)
% 1.04/1.12       => ~ in(B,A) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc10_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v1_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,A)
% 1.04/1.12           => v1_xcmplx_0(B) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc11_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v2_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,A)
% 1.04/1.12           => ( v1_xcmplx_0(B)
% 1.04/1.12              & v1_xreal_0(B) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc12_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v3_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,A)
% 1.04/1.12           => ( v1_xcmplx_0(B)
% 1.04/1.12              & v1_xreal_0(B)
% 1.04/1.12              & v1_rat_1(B) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc13_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v4_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,A)
% 1.04/1.12           => ( v1_xcmplx_0(B)
% 1.04/1.12              & v1_xreal_0(B)
% 1.04/1.12              & v1_int_1(B)
% 1.04/1.12              & v1_rat_1(B) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc14_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v5_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,A)
% 1.04/1.12           => ( v1_xcmplx_0(B)
% 1.04/1.12              & natural(B)
% 1.04/1.12              & v1_xreal_0(B)
% 1.04/1.12              & v1_int_1(B)
% 1.04/1.12              & v1_rat_1(B) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc15_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( empty(A)
% 1.04/1.12       => ( v1_membered(A)
% 1.04/1.12          & v2_membered(A)
% 1.04/1.12          & v3_membered(A)
% 1.04/1.12          & v4_membered(A)
% 1.04/1.12          & v5_membered(A) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc16_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v1_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,powerset(A))
% 1.04/1.12           => v1_membered(B) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc17_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v2_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,powerset(A))
% 1.04/1.12           => ( v1_membered(B)
% 1.04/1.12              & v2_membered(B) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc18_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v3_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,powerset(A))
% 1.04/1.12           => ( v1_membered(B)
% 1.04/1.12              & v2_membered(B)
% 1.04/1.12              & v3_membered(B) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc19_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v4_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,powerset(A))
% 1.04/1.12           => ( v1_membered(B)
% 1.04/1.12              & v2_membered(B)
% 1.04/1.12              & v3_membered(B)
% 1.04/1.12              & v4_membered(B) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc1_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v5_membered(A)
% 1.04/1.12       => v4_membered(A) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc20_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v5_membered(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,powerset(A))
% 1.04/1.12           => ( v1_membered(B)
% 1.04/1.12              & v2_membered(B)
% 1.04/1.12              & v3_membered(B)
% 1.04/1.12              & v4_membered(B)
% 1.04/1.12              & v5_membered(B) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc2_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v4_membered(A)
% 1.04/1.12       => v3_membered(A) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc3_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v3_membered(A)
% 1.04/1.12       => v2_membered(A) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(cc4_membered,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( v2_membered(A)
% 1.04/1.12       => v1_membered(A) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(d3_pre_topc,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( one_sorted_str(A)
% 1.04/1.12       => cast_as_carrier_subset(A) = the_carrier(A) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(d4_tarski,axiom,
% 1.04/1.12      ! [A,B] :
% 1.04/1.12        ( B = union(A)
% 1.04/1.12      <=> ! [C] :
% 1.04/1.12            ( in(C,B)
% 1.04/1.12          <=> ? [D] :
% 1.04/1.12                ( in(C,D)
% 1.04/1.12                & in(D,A) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(d8_pre_topc,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( one_sorted_str(A)
% 1.04/1.12       => ! [B] :
% 1.04/1.12            ( element(B,powerset(powerset(the_carrier(A))))
% 1.04/1.12           => ( is_a_cover_of_carrier(A,B)
% 1.04/1.12            <=> cast_as_carrier_subset(A) = union_of_subsets(the_carrier(A),B) ) ) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(dt_k1_xboole_0,axiom,
% 1.04/1.12      $true ).
% 1.04/1.12  
% 1.04/1.12  fof(dt_k1_zfmisc_1,axiom,
% 1.04/1.12      $true ).
% 1.04/1.12  
% 1.04/1.12  fof(dt_k2_pre_topc,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12        ( one_sorted_str(A)
% 1.04/1.12       => element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(dt_k3_tarski,axiom,
% 1.04/1.12      $true ).
% 1.04/1.12  
% 1.04/1.12  fof(dt_k5_setfam_1,axiom,
% 1.04/1.12      ! [A,B] :
% 1.04/1.12        ( element(B,powerset(powerset(A)))
% 1.04/1.12       => element(union_of_subsets(A,B),powerset(A)) ) ).
% 1.04/1.12  
% 1.04/1.12  fof(dt_l1_struct_0,axiom,
% 1.04/1.12      $true ).
% 1.04/1.12  
% 1.04/1.12  fof(dt_m1_subset_1,axiom,
% 1.04/1.12      $true ).
% 1.04/1.12  
% 1.04/1.12  fof(dt_u1_struct_0,axiom,
% 1.04/1.12      $true ).
% 1.04/1.12  
% 1.04/1.12  fof(existence_l1_struct_0,axiom,
% 1.04/1.12      ? [A] : one_sorted_str(A) ).
% 1.04/1.12  
% 1.04/1.12  fof(existence_m1_subset_1,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.12      ? [B] : element(B,A) ).
% 1.04/1.12  
% 1.04/1.12  fof(fc1_struct_0,axiom,
% 1.04/1.12      ! [A] :
% 1.04/1.13        ( ( ~ empty_carrier(A)
% 1.04/1.13          & one_sorted_str(A) )
% 1.04/1.13       => ~ empty(the_carrier(A)) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(fc1_subset_1,axiom,
% 1.04/1.13      ! [A] : ~ empty(powerset(A)) ).
% 1.04/1.13  
% 1.04/1.13  fof(fc2_pre_topc,axiom,
% 1.04/1.13      ! [A] :
% 1.04/1.13        ( ( ~ empty_carrier(A)
% 1.04/1.13          & one_sorted_str(A) )
% 1.04/1.13       => ~ empty(cast_as_carrier_subset(A)) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(fc6_membered,axiom,
% 1.04/1.13      ( empty(empty_set)
% 1.04/1.13      & v1_membered(empty_set)
% 1.04/1.13      & v2_membered(empty_set)
% 1.04/1.13      & v3_membered(empty_set)
% 1.04/1.13      & v4_membered(empty_set)
% 1.04/1.13      & v5_membered(empty_set) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(rc1_membered,axiom,
% 1.04/1.13      ? [A] :
% 1.04/1.13        ( ~ empty(A)
% 1.04/1.13        & v1_membered(A)
% 1.04/1.13        & v2_membered(A)
% 1.04/1.13        & v3_membered(A)
% 1.04/1.13        & v4_membered(A)
% 1.04/1.13        & v5_membered(A) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(rc1_subset_1,axiom,
% 1.04/1.13      ! [A] :
% 1.04/1.13        ( ~ empty(A)
% 1.04/1.13       => ? [B] :
% 1.04/1.13            ( element(B,powerset(A))
% 1.04/1.13            & ~ empty(B) ) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(rc2_subset_1,axiom,
% 1.04/1.13      ! [A] :
% 1.04/1.13      ? [B] :
% 1.04/1.13        ( element(B,powerset(A))
% 1.04/1.13        & empty(B) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(rc3_struct_0,axiom,
% 1.04/1.13      ? [A] :
% 1.04/1.13        ( one_sorted_str(A)
% 1.04/1.13        & ~ empty_carrier(A) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(rc5_struct_0,axiom,
% 1.04/1.13      ! [A] :
% 1.04/1.13        ( ( ~ empty_carrier(A)
% 1.04/1.13          & one_sorted_str(A) )
% 1.04/1.13       => ? [B] :
% 1.04/1.13            ( element(B,powerset(the_carrier(A)))
% 1.04/1.13            & ~ empty(B) ) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(redefinition_k5_setfam_1,axiom,
% 1.04/1.13      ! [A,B] :
% 1.04/1.13        ( element(B,powerset(powerset(A)))
% 1.04/1.13       => union_of_subsets(A,B) = union(B) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(reflexivity_r1_tarski,axiom,
% 1.04/1.13      ! [A,B] : subset(A,A) ).
% 1.04/1.13  
% 1.04/1.13  fof(t1_subset,axiom,
% 1.04/1.13      ! [A,B] :
% 1.04/1.13        ( in(A,B)
% 1.04/1.13       => element(A,B) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(t2_subset,axiom,
% 1.04/1.13      ! [A,B] :
% 1.04/1.13        ( element(A,B)
% 1.04/1.13       => ( empty(B)
% 1.04/1.13          | in(A,B) ) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(t3_subset,axiom,
% 1.04/1.13      ! [A,B] :
% 1.04/1.13        ( element(A,powerset(B))
% 1.04/1.13      <=> subset(A,B) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(t4_subset,axiom,
% 1.04/1.13      ! [A,B,C] :
% 1.04/1.13        ( ( in(A,B)
% 1.04/1.13          & element(B,powerset(C)) )
% 1.04/1.13       => element(A,C) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(t5_subset,axiom,
% 1.04/1.13      ! [A,B,C] :
% 1.04/1.13        ~ ( in(A,B)
% 1.04/1.13          & element(B,powerset(C))
% 1.04/1.13          & empty(C) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(t5_tops_2,conjecture,
% 1.04/1.13      ! [A] :
% 1.04/1.13        ( ( ~ empty_carrier(A)
% 1.04/1.13          & one_sorted_str(A) )
% 1.04/1.13       => ! [B] :
% 1.04/1.13            ( element(B,powerset(powerset(the_carrier(A))))
% 1.04/1.13           => ~ ( is_a_cover_of_carrier(A,B)
% 1.04/1.13                & B = empty_set ) ) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(t6_boole,axiom,
% 1.04/1.13      ! [A] :
% 1.04/1.13        ( empty(A)
% 1.04/1.13       => A = empty_set ) ).
% 1.04/1.13  
% 1.04/1.13  fof(t7_boole,axiom,
% 1.04/1.13      ! [A,B] :
% 1.04/1.13        ~ ( in(A,B)
% 1.04/1.13          & empty(B) ) ).
% 1.04/1.13  
% 1.04/1.13  fof(t8_boole,axiom,
% 1.04/1.13      ! [A,B] :
% 1.04/1.13        ~ ( empty(A)
% 1.04/1.13          & A != B
% 1.04/1.13          & empty(B) ) ).
% 1.04/1.13  
% 1.04/1.13  %------------------------------------------------------------------------------
% 1.04/1.13  %-------------------------------------------
% 1.04/1.13  % Proof found
% 1.04/1.13  % SZS status Theorem for theBenchmark
% 1.04/1.13  % SZS output start Proof
% 1.04/1.13  %ClaNum:133(EqnAxiom:41)
% 1.04/1.13  %VarNum:288(SingletonVarNum:128)
% 1.04/1.13  %MaxLitNum:4
% 1.04/1.13  %MaxfuncDepth:3
% 1.04/1.13  %SharedTerms:29
% 1.04/1.13  %goalClause: 42 56 58 62 65
% 1.04/1.13  %singleGoalClaCount:5
% 1.04/1.13  [42]E(a1,a2)
% 1.04/1.13  [43]P1(a2)
% 1.04/1.13  [44]P1(a6)
% 1.04/1.13  [45]P11(a2)
% 1.04/1.13  [46]P11(a6)
% 1.04/1.13  [47]P15(a2)
% 1.04/1.13  [48]P15(a6)
% 1.04/1.13  [49]P16(a2)
% 1.04/1.13  [50]P16(a6)
% 1.04/1.13  [51]P17(a2)
% 1.04/1.13  [52]P17(a6)
% 1.04/1.13  [53]P2(a2)
% 1.04/1.13  [54]P4(a7)
% 1.04/1.13  [55]P4(a12)
% 1.04/1.13  [56]P4(a4)
% 1.04/1.13  [58]P5(a4,a1)
% 1.04/1.13  [63]~P2(a6)
% 1.04/1.13  [64]~P6(a12)
% 1.04/1.13  [65]~P6(a4)
% 1.04/1.13  [62]P3(a1,f15(f15(f16(a4))))
% 1.04/1.13  [59]P9(x591,x591)
% 1.04/1.13  [57]P2(f13(x571))
% 1.04/1.13  [60]P3(f11(x601),x601)
% 1.04/1.13  [61]P3(f13(x611),f15(x611))
% 1.04/1.13  [66]~P2(f15(x661))
% 1.04/1.13  [67]~P2(x671)+E(x671,a2)
% 1.04/1.13  [68]~P11(x681)+P1(x681)
% 1.04/1.13  [69]~P2(x691)+P1(x691)
% 1.04/1.13  [70]~P15(x701)+P11(x701)
% 1.04/1.13  [71]~P2(x711)+P11(x711)
% 1.04/1.13  [72]~P16(x721)+P15(x721)
% 1.04/1.13  [73]~P2(x731)+P15(x731)
% 1.04/1.13  [74]~P17(x741)+P16(x741)
% 1.04/1.13  [75]~P2(x751)+P16(x751)
% 1.04/1.13  [76]~P2(x761)+P17(x761)
% 1.04/1.13  [77]~P4(x771)+E(f3(x771),f16(x771))
% 1.04/1.13  [79]P2(x791)+~P2(f14(x791))
% 1.04/1.13  [84]P2(x841)+P3(f14(x841),f15(x841))
% 1.04/1.13  [119]~P4(x1191)+P3(f3(x1191),f15(f16(x1191)))
% 1.04/1.13  [83]~P2(x831)+~P7(x832,x831)
% 1.04/1.13  [100]~P7(x1001,x1002)+P3(x1001,x1002)
% 1.04/1.13  [118]~P7(x1182,x1181)+~P7(x1181,x1182)
% 1.04/1.13  [102]~P9(x1021,x1022)+P3(x1021,f15(x1022))
% 1.04/1.13  [120]P9(x1201,x1202)+~P3(x1201,f15(x1202))
% 1.04/1.13  [125]E(f18(x1251,x1252),f17(x1252))+~P3(x1252,f15(f15(x1251)))
% 1.04/1.13  [127]P3(f18(x1271,x1272),f15(x1271))+~P3(x1272,f15(f15(x1271)))
% 1.04/1.13  [80]~P4(x801)+P6(x801)+~P2(f3(x801))
% 1.04/1.13  [81]~P4(x811)+P6(x811)+~P2(f16(x811))
% 1.04/1.13  [82]~P4(x821)+P6(x821)+~P2(f5(x821))
% 1.04/1.13  [121]~P4(x1211)+P6(x1211)+P3(f5(x1211),f15(f16(x1211)))
% 1.04/1.13  [78]~P2(x782)+~P2(x781)+E(x781,x782)
% 1.04/1.13  [85]~P3(x851,x852)+P12(x851)+~P1(x852)
% 1.04/1.13  [86]~P3(x861,x862)+P12(x861)+~P11(x862)
% 1.04/1.13  [87]~P3(x871,x872)+P12(x871)+~P15(x872)
% 1.04/1.13  [88]~P3(x881,x882)+P12(x881)+~P16(x882)
% 1.04/1.13  [89]~P3(x891,x892)+P12(x891)+~P17(x892)
% 1.04/1.13  [90]~P3(x901,x902)+P14(x901)+~P11(x902)
% 1.04/1.13  [91]~P3(x911,x912)+P14(x911)+~P15(x912)
% 1.04/1.13  [92]~P3(x921,x922)+P14(x921)+~P16(x922)
% 1.04/1.13  [93]~P3(x931,x932)+P14(x931)+~P17(x932)
% 1.04/1.13  [94]~P3(x941,x942)+P13(x941)+~P15(x942)
% 1.04/1.13  [95]~P3(x951,x952)+P13(x951)+~P16(x952)
% 1.04/1.13  [96]~P3(x961,x962)+P13(x961)+~P17(x962)
% 1.04/1.13  [97]~P3(x971,x972)+P10(x971)+~P16(x972)
% 1.04/1.13  [98]~P3(x981,x982)+P10(x981)+~P17(x982)
% 1.04/1.13  [99]~P3(x991,x992)+P8(x991)+~P17(x992)
% 1.04/1.13  [101]~P3(x1012,x1011)+P2(x1011)+P7(x1012,x1011)
% 1.04/1.13  [103]P1(x1031)+~P1(x1032)+~P3(x1031,f15(x1032))
% 1.04/1.13  [104]P1(x1041)+~P11(x1042)+~P3(x1041,f15(x1042))
% 1.04/1.13  [105]P1(x1051)+~P15(x1052)+~P3(x1051,f15(x1052))
% 1.04/1.13  [106]P1(x1061)+~P16(x1062)+~P3(x1061,f15(x1062))
% 1.04/1.13  [107]P1(x1071)+~P17(x1072)+~P3(x1071,f15(x1072))
% 1.04/1.13  [108]P11(x1081)+~P11(x1082)+~P3(x1081,f15(x1082))
% 1.04/1.13  [109]P11(x1091)+~P15(x1092)+~P3(x1091,f15(x1092))
% 1.04/1.13  [110]P11(x1101)+~P16(x1102)+~P3(x1101,f15(x1102))
% 1.04/1.13  [111]P11(x1111)+~P17(x1112)+~P3(x1111,f15(x1112))
% 1.04/1.13  [112]P15(x1121)+~P15(x1122)+~P3(x1121,f15(x1122))
% 1.04/1.13  [113]P15(x1131)+~P16(x1132)+~P3(x1131,f15(x1132))
% 1.04/1.13  [114]P15(x1141)+~P17(x1142)+~P3(x1141,f15(x1142))
% 1.04/1.13  [115]P16(x1151)+~P16(x1152)+~P3(x1151,f15(x1152))
% 1.04/1.13  [116]P16(x1161)+~P17(x1162)+~P3(x1161,f15(x1162))
% 1.04/1.13  [117]P17(x1171)+~P17(x1172)+~P3(x1171,f15(x1172))
% 1.04/1.13  [126]P7(f8(x1262,x1261),x1261)+P7(f10(x1262,x1261),x1262)+E(x1261,f17(x1262))
% 1.04/1.13  [128]P7(f8(x1282,x1281),x1281)+P7(f8(x1282,x1281),f10(x1282,x1281))+E(x1281,f17(x1282))
% 1.04/1.13  [122]~P2(x1221)+~P7(x1222,x1223)+~P3(x1223,f15(x1221))
% 1.04/1.13  [124]P3(x1241,x1242)+~P7(x1241,x1243)+~P3(x1243,f15(x1242))
% 1.04/1.13  [131]~P7(x1311,x1313)+~E(x1313,f17(x1312))+P7(x1311,f9(x1312,x1313,x1311))
% 1.04/1.13  [132]~P7(x1323,x1322)+~E(x1322,f17(x1321))+P7(f9(x1321,x1322,x1323),x1321)
% 1.04/1.13  [129]~P4(x1291)+~P5(x1291,x1292)+E(f18(f16(x1291),x1292),f3(x1291))+~P3(x1292,f15(f15(f16(x1291))))
% 1.04/1.13  [130]~P4(x1301)+P5(x1301,x1302)+~E(f18(f16(x1301),x1302),f3(x1301))+~P3(x1302,f15(f15(f16(x1301))))
% 1.04/1.13  [133]~P7(x1333,x1332)+~P7(f8(x1332,x1331),x1333)+~P7(f8(x1332,x1331),x1331)+E(x1331,f17(x1332))
% 1.04/1.13  [123]~P7(x1231,x1234)+P7(x1231,x1232)+~P7(x1234,x1233)+~E(x1232,f17(x1233))
% 1.04/1.13  %EqnAxiom
% 1.04/1.13  [1]E(x11,x11)
% 1.04/1.13  [2]E(x22,x21)+~E(x21,x22)
% 1.04/1.13  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.04/1.13  [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 1.04/1.13  [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 1.04/1.13  [6]~E(x61,x62)+E(f8(x61,x63),f8(x62,x63))
% 1.04/1.13  [7]~E(x71,x72)+E(f8(x73,x71),f8(x73,x72))
% 1.04/1.13  [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 1.04/1.13  [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 1.04/1.13  [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 1.04/1.13  [11]~E(x111,x112)+E(f9(x111,x113,x114),f9(x112,x113,x114))
% 1.04/1.13  [12]~E(x121,x122)+E(f9(x123,x121,x124),f9(x123,x122,x124))
% 1.04/1.13  [13]~E(x131,x132)+E(f9(x133,x134,x131),f9(x133,x134,x132))
% 1.04/1.13  [14]~E(x141,x142)+E(f5(x141),f5(x142))
% 1.04/1.13  [15]~E(x151,x152)+E(f3(x151),f3(x152))
% 1.04/1.13  [16]~E(x161,x162)+E(f10(x161,x163),f10(x162,x163))
% 1.04/1.13  [17]~E(x171,x172)+E(f10(x173,x171),f10(x173,x172))
% 1.04/1.13  [18]~E(x181,x182)+E(f14(x181),f14(x182))
% 1.04/1.13  [19]~E(x191,x192)+E(f18(x191,x193),f18(x192,x193))
% 1.04/1.13  [20]~E(x201,x202)+E(f18(x203,x201),f18(x203,x202))
% 1.04/1.13  [21]~P1(x211)+P1(x212)+~E(x211,x212)
% 1.04/1.13  [22]P7(x222,x223)+~E(x221,x222)+~P7(x221,x223)
% 1.04/1.13  [23]P7(x233,x232)+~E(x231,x232)+~P7(x233,x231)
% 1.04/1.13  [24]~P11(x241)+P11(x242)+~E(x241,x242)
% 1.04/1.13  [25]P3(x252,x253)+~E(x251,x252)+~P3(x251,x253)
% 1.04/1.13  [26]P3(x263,x262)+~E(x261,x262)+~P3(x263,x261)
% 1.04/1.13  [27]~P15(x271)+P15(x272)+~E(x271,x272)
% 1.04/1.13  [28]~P2(x281)+P2(x282)+~E(x281,x282)
% 1.04/1.13  [29]~P16(x291)+P16(x292)+~E(x291,x292)
% 1.04/1.13  [30]~P12(x301)+P12(x302)+~E(x301,x302)
% 1.04/1.13  [31]~P17(x311)+P17(x312)+~E(x311,x312)
% 1.04/1.13  [32]~P4(x321)+P4(x322)+~E(x321,x322)
% 1.04/1.13  [33]~P6(x331)+P6(x332)+~E(x331,x332)
% 1.04/1.13  [34]~P14(x341)+P14(x342)+~E(x341,x342)
% 1.04/1.13  [35]P5(x352,x353)+~E(x351,x352)+~P5(x351,x353)
% 1.04/1.13  [36]P5(x363,x362)+~E(x361,x362)+~P5(x363,x361)
% 1.04/1.13  [37]~P10(x371)+P10(x372)+~E(x371,x372)
% 1.04/1.13  [38]~P13(x381)+P13(x382)+~E(x381,x382)
% 1.04/1.13  [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 1.04/1.13  [40]P9(x402,x403)+~E(x401,x402)+~P9(x401,x403)
% 1.04/1.13  [41]P9(x413,x412)+~E(x411,x412)+~P9(x413,x411)
% 1.04/1.13  
% 1.04/1.13  %-------------------------------------------
% 1.04/1.13  cnf(134,plain,
% 1.04/1.13     (E(a2,a1)),
% 1.04/1.13     inference(scs_inference,[],[42,2])).
% 1.04/1.13  cnf(135,plain,
% 1.04/1.13     (~P7(x1351,a2)),
% 1.04/1.13     inference(scs_inference,[],[42,53,2,83])).
% 1.04/1.13  cnf(137,plain,
% 1.04/1.13     (P9(a1,f15(f16(a4)))),
% 1.04/1.13     inference(scs_inference,[],[42,53,62,2,83,120])).
% 1.04/1.13  cnf(141,plain,
% 1.04/1.13     (E(f18(f16(a4),a1),f17(a1))),
% 1.04/1.13     inference(scs_inference,[],[42,53,62,2,83,120,127,125])).
% 1.04/1.13  cnf(145,plain,
% 1.04/1.13     (P5(a4,a2)),
% 1.04/1.13     inference(scs_inference,[],[42,59,58,53,62,2,83,120,127,125,41,40,36])).
% 1.04/1.13  cnf(146,plain,
% 1.04/1.13     (P17(a1)),
% 1.04/1.13     inference(scs_inference,[],[42,59,58,51,53,62,2,83,120,127,125,41,40,36,31])).
% 1.04/1.13  cnf(151,plain,
% 1.04/1.13     (P3(f11(x1511),x1511)),
% 1.04/1.13     inference(rename_variables,[],[60])).
% 1.04/1.13  cnf(152,plain,
% 1.04/1.14     (P3(a2,f15(f15(f16(a4))))),
% 1.04/1.14     inference(scs_inference,[],[42,59,58,47,49,51,53,62,60,2,83,120,127,125,41,40,36,31,29,28,27,26,25])).
% 1.04/1.14  cnf(155,plain,
% 1.04/1.14     (P7(f11(a6),a6)),
% 1.04/1.14     inference(scs_inference,[],[42,59,58,43,45,47,49,51,53,63,62,60,151,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101])).
% 1.04/1.14  cnf(157,plain,
% 1.04/1.14     (~P7(x1571,f13(a2))),
% 1.04/1.14     inference(scs_inference,[],[42,59,58,43,45,47,49,51,53,63,62,60,151,61,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122])).
% 1.04/1.14  cnf(158,plain,
% 1.04/1.14     (P3(f13(x1581),f15(x1581))),
% 1.04/1.14     inference(rename_variables,[],[61])).
% 1.04/1.14  cnf(161,plain,
% 1.04/1.14     (P3(f13(x1611),f15(x1611))),
% 1.04/1.14     inference(rename_variables,[],[61])).
% 1.04/1.14  cnf(164,plain,
% 1.04/1.14     (P3(f13(x1641),f15(x1641))),
% 1.04/1.14     inference(rename_variables,[],[61])).
% 1.04/1.14  cnf(167,plain,
% 1.04/1.14     (P3(f13(x1671),f15(x1671))),
% 1.04/1.14     inference(rename_variables,[],[61])).
% 1.04/1.14  cnf(170,plain,
% 1.04/1.14     (P3(f13(x1701),f15(x1701))),
% 1.04/1.14     inference(rename_variables,[],[61])).
% 1.04/1.14  cnf(175,plain,
% 1.04/1.14     (~E(a6,f17(a2))),
% 1.04/1.14     inference(scs_inference,[],[42,59,58,43,45,47,49,51,53,63,62,60,151,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132])).
% 1.04/1.14  cnf(177,plain,
% 1.04/1.14     (E(f18(f16(a4),a1),f3(a4))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129])).
% 1.04/1.14  cnf(181,plain,
% 1.04/1.14     (P17(f13(x1811))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76])).
% 1.04/1.14  cnf(183,plain,
% 1.04/1.14     (P16(f13(x1831))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75])).
% 1.04/1.14  cnf(185,plain,
% 1.04/1.14     (P15(f13(x1851))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73])).
% 1.04/1.14  cnf(187,plain,
% 1.04/1.14     (P11(f13(x1871))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71])).
% 1.04/1.14  cnf(189,plain,
% 1.04/1.14     (P1(f13(x1891))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69])).
% 1.04/1.14  cnf(191,plain,
% 1.04/1.14     (E(f13(x1911),a2)),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67])).
% 1.04/1.14  cnf(195,plain,
% 1.04/1.14     (~P2(f14(a6))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79])).
% 1.04/1.14  cnf(197,plain,
% 1.04/1.14     (E(f18(x1971,a1),f18(x1971,a2))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20])).
% 1.04/1.14  cnf(204,plain,
% 1.04/1.14     (E(f9(x2041,x2042,a1),f9(x2041,x2042,a2))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13])).
% 1.04/1.14  cnf(205,plain,
% 1.04/1.14     (E(f9(x2051,a1,x2052),f9(x2051,a2,x2052))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12])).
% 1.04/1.14  cnf(206,plain,
% 1.04/1.14     (E(f9(a1,x2061,x2062),f9(a2,x2061,x2062))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11])).
% 1.04/1.14  cnf(207,plain,
% 1.04/1.14     (E(f17(a1),f17(a2))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10])).
% 1.04/1.14  cnf(209,plain,
% 1.04/1.14     (E(f15(a1),f15(a2))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 1.04/1.14  cnf(211,plain,
% 1.04/1.14     (E(f8(a1,x2111),f8(a2,x2111))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 1.04/1.14  cnf(212,plain,
% 1.04/1.14     (E(f11(a1),f11(a2))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 1.04/1.14  cnf(216,plain,
% 1.04/1.14     (P3(f14(a6),f15(a6))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84])).
% 1.04/1.14  cnf(218,plain,
% 1.04/1.14     (E(f3(a4),f16(a4))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84,77])).
% 1.04/1.14  cnf(223,plain,
% 1.04/1.14     (~E(a6,f17(a1))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84,77,32,23,22,3])).
% 1.04/1.14  cnf(224,plain,
% 1.04/1.14     (P8(f11(a1))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84,77,32,23,22,3,99])).
% 1.04/1.14  cnf(226,plain,
% 1.04/1.14     (P10(f11(a1))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84,77,32,23,22,3,99,98])).
% 1.04/1.14  cnf(230,plain,
% 1.04/1.14     (P13(f11(a1))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,50,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84,77,32,23,22,3,99,98,97,96])).
% 1.04/1.14  cnf(234,plain,
% 1.04/1.14     (P14(f11(a1))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,50,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84,77,32,23,22,3,99,98,97,96,95,93])).
% 1.04/1.14  cnf(238,plain,
% 1.04/1.14     (P12(f11(a1))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,43,45,47,49,50,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84,77,32,23,22,3,99,98,97,96,95,93,92,89])).
% 1.04/1.14  cnf(246,plain,
% 1.04/1.14     (~P2(f3(a4))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,65,43,45,47,49,50,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84,77,32,23,22,3,99,98,97,96,95,93,92,89,88,82,81,80])).
% 1.04/1.14  cnf(248,plain,
% 1.04/1.14     (P3(f5(a4),f15(f16(a4)))),
% 1.04/1.14     inference(scs_inference,[],[42,59,56,58,65,43,45,47,49,50,51,53,63,62,60,151,57,61,158,161,164,167,170,2,83,120,127,125,41,40,36,31,29,28,27,26,25,24,21,101,122,117,116,114,111,107,132,129,118,76,75,73,71,69,67,102,79,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,119,84,77,32,23,22,3,99,98,97,96,95,93,92,89,88,82,81,80,121])).
% 1.04/1.14  cnf(273,plain,
% 1.04/1.14     (E(f13(a2),f17(a2))),
% 1.04/1.14     inference(scs_inference,[],[157,135,212,224,226,230,234,238,39,38,37,34,30,126])).
% 1.04/1.14  cnf(275,plain,
% 1.04/1.14     (~P7(x2751,a2)),
% 1.04/1.14     inference(rename_variables,[],[135])).
% 1.04/1.14  cnf(277,plain,
% 1.04/1.14     (P16(f11(f15(a2)))),
% 1.04/1.14     inference(scs_inference,[],[60,49,157,135,212,224,226,230,234,238,39,38,37,34,30,126,115])).
% 1.04/1.14  cnf(278,plain,
% 1.04/1.14     (P3(f11(x2781),x2781)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(280,plain,
% 1.04/1.14     (P15(f11(f15(a2)))),
% 1.04/1.14     inference(scs_inference,[],[60,278,49,157,135,212,224,226,230,234,238,39,38,37,34,30,126,115,113])).
% 1.04/1.14  cnf(281,plain,
% 1.04/1.14     (P3(f11(x2811),x2811)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(284,plain,
% 1.04/1.14     (P3(f11(x2841),x2841)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(287,plain,
% 1.04/1.14     (P3(f11(x2871),x2871)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(289,plain,
% 1.04/1.14     (P11(f11(f15(a6)))),
% 1.04/1.14     inference(scs_inference,[],[48,60,278,281,284,287,49,157,135,212,224,226,230,234,238,39,38,37,34,30,126,115,113,112,110,109])).
% 1.04/1.14  cnf(290,plain,
% 1.04/1.14     (P3(f11(x2901),x2901)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(293,plain,
% 1.04/1.14     (P3(f11(x2931),x2931)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(296,plain,
% 1.04/1.14     (P3(f11(x2961),x2961)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(299,plain,
% 1.04/1.14     (P3(f11(x2991),x2991)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(307,plain,
% 1.04/1.14     (P3(f5(a12),f15(f16(a12)))),
% 1.04/1.14     inference(scs_inference,[],[55,64,48,60,278,281,284,287,290,293,296,299,49,187,157,135,212,224,226,230,234,238,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121])).
% 1.04/1.14  cnf(309,plain,
% 1.04/1.14     (~P3(a6,f15(a2))),
% 1.04/1.14     inference(scs_inference,[],[55,64,48,60,278,281,284,287,290,293,296,299,49,53,187,157,135,212,224,226,230,234,238,155,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121,122])).
% 1.04/1.14  cnf(311,plain,
% 1.04/1.14     (~P9(a6,a2)),
% 1.04/1.14     inference(scs_inference,[],[55,64,48,60,278,281,284,287,290,293,296,299,49,53,187,157,135,212,224,226,230,234,238,155,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121,122,102])).
% 1.04/1.14  cnf(313,plain,
% 1.04/1.14     (~E(a2,a6)),
% 1.04/1.14     inference(scs_inference,[],[55,64,48,60,278,281,284,287,290,293,296,299,49,59,53,187,157,135,212,224,226,230,234,238,155,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121,122,102,40])).
% 1.04/1.14  cnf(315,plain,
% 1.04/1.14     (P3(f13(x3151),f15(x3151))),
% 1.04/1.14     inference(rename_variables,[],[61])).
% 1.04/1.14  cnf(316,plain,
% 1.04/1.14     (E(f9(x3161,a1,a1),f9(x3161,a2,a2))),
% 1.04/1.14     inference(scs_inference,[],[55,64,48,60,278,281,284,287,290,293,296,299,61,49,59,53,187,204,205,157,135,212,224,226,230,234,238,155,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121,122,102,40,25,3])).
% 1.04/1.14  cnf(324,plain,
% 1.04/1.14     (~P7(x3241,f17(a1))),
% 1.04/1.14     inference(scs_inference,[],[55,64,48,60,278,281,284,287,290,293,296,299,61,315,49,59,53,187,204,205,157,135,275,207,212,224,226,230,234,238,155,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121,122,102,40,25,3,124,81,132])).
% 1.04/1.14  cnf(325,plain,
% 1.04/1.14     (~P7(x3251,a2)),
% 1.04/1.14     inference(rename_variables,[],[135])).
% 1.04/1.14  cnf(330,plain,
% 1.04/1.14     (~P3(a6,f15(a1))),
% 1.04/1.14     inference(scs_inference,[],[42,55,64,66,48,60,278,281,284,287,290,293,296,299,61,315,49,59,53,187,204,205,157,135,275,207,209,212,224,226,230,234,238,155,175,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121,122,102,40,25,3,124,81,132,2,41,28,26])).
% 1.04/1.14  cnf(331,plain,
% 1.04/1.14     (~P7(x3311,a1)),
% 1.04/1.14     inference(scs_inference,[],[42,55,64,66,48,60,278,281,284,287,290,293,296,299,61,315,49,59,53,187,204,205,157,135,275,325,207,209,212,224,226,230,234,238,155,175,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121,122,102,40,25,3,124,81,132,2,41,28,26,23])).
% 1.04/1.14  cnf(334,plain,
% 1.04/1.14     (~P7(a6,f15(a2))),
% 1.04/1.14     inference(scs_inference,[],[42,55,64,66,48,60,278,281,284,287,290,293,296,299,61,315,49,59,53,187,204,205,157,135,275,325,207,209,212,224,226,230,234,238,155,175,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121,122,102,40,25,3,124,81,132,2,41,28,26,23,128,100])).
% 1.04/1.14  cnf(336,plain,
% 1.04/1.14     (P1(f14(a6))),
% 1.04/1.14     inference(scs_inference,[],[42,55,64,66,44,48,60,278,281,284,287,290,293,296,299,61,315,49,59,53,187,204,205,157,135,275,325,207,209,212,216,224,226,230,234,238,155,175,39,38,37,34,30,126,115,113,112,110,109,108,106,105,104,82,80,121,122,102,40,25,3,124,81,132,2,41,28,26,23,128,100,103])).
% 1.04/1.14  cnf(373,plain,
% 1.04/1.14     (P3(f11(x3731),x3731)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(376,plain,
% 1.04/1.14     (P3(f11(x3761),x3761)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(379,plain,
% 1.04/1.14     (P3(f11(x3791),x3791)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(382,plain,
% 1.04/1.14     (P3(f11(x3821),x3821)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(385,plain,
% 1.04/1.14     (P3(f11(x3851),x3851)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(389,plain,
% 1.04/1.14     (P16(f14(a6))),
% 1.04/1.14     inference(scs_inference,[],[60,373,376,379,382,385,50,189,280,289,146,216,107,94,91,90,87,85,115])).
% 1.04/1.14  cnf(394,plain,
% 1.04/1.14     (P3(f11(x3941),x3941)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(396,plain,
% 1.04/1.14     (P7(f8(a1,a6),a6)),
% 1.04/1.14     inference(scs_inference,[],[60,373,376,379,382,385,50,189,280,289,331,223,146,216,181,107,94,91,90,87,85,115,110,98,126])).
% 1.04/1.14  cnf(399,plain,
% 1.04/1.14     (E(f18(f16(a4),a2),f3(a4))),
% 1.04/1.14     inference(scs_inference,[],[56,60,373,376,379,382,385,50,189,145,280,289,331,152,223,146,216,181,107,94,91,90,87,85,115,110,98,126,129])).
% 1.04/1.14  cnf(401,plain,
% 1.04/1.14     (P3(f8(a1,a6),a6)),
% 1.04/1.14     inference(scs_inference,[],[56,60,373,376,379,382,385,50,189,145,280,289,331,152,223,146,216,181,107,94,91,90,87,85,115,110,98,126,129,100])).
% 1.04/1.14  cnf(403,plain,
% 1.04/1.14     (P15(f14(a6))),
% 1.04/1.14     inference(scs_inference,[],[56,60,373,376,379,382,385,50,189,145,280,289,331,152,223,146,216,181,107,94,91,90,87,85,115,110,98,126,129,100,113])).
% 1.04/1.14  cnf(405,plain,
% 1.04/1.14     (P7(f8(a2,a6),a6)),
% 1.04/1.14     inference(scs_inference,[],[56,60,373,376,379,382,385,50,189,145,280,289,331,211,152,223,146,216,181,107,94,91,90,87,85,115,110,98,126,129,100,113,22])).
% 1.04/1.14  cnf(408,plain,
% 1.04/1.14     (~P7(x4081,f17(a1))),
% 1.04/1.14     inference(rename_variables,[],[324])).
% 1.04/1.14  cnf(412,plain,
% 1.04/1.14     (P17(f17(a2))),
% 1.04/1.14     inference(scs_inference,[],[56,60,373,376,379,382,385,50,189,145,280,289,324,273,331,211,152,223,146,216,155,181,107,94,91,90,87,85,115,110,98,126,129,100,113,22,132,118,31])).
% 1.04/1.14  cnf(413,plain,
% 1.04/1.14     (P15(f17(a2))),
% 1.04/1.14     inference(scs_inference,[],[56,60,373,376,379,382,385,50,189,145,280,289,324,273,331,185,211,152,223,146,216,155,181,107,94,91,90,87,85,115,110,98,126,129,100,113,22,132,118,31,27])).
% 1.04/1.14  cnf(416,plain,
% 1.04/1.14     (P3(f11(x4161),x4161)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(419,plain,
% 1.04/1.14     (P2(f17(a1))),
% 1.04/1.14     inference(scs_inference,[],[56,134,60,373,376,379,382,385,394,416,50,189,309,145,280,289,324,408,273,331,185,211,191,152,223,146,216,155,181,187,107,94,91,90,87,85,115,110,98,126,129,100,113,22,132,118,31,27,24,124,3,101])).
% 1.04/1.14  cnf(420,plain,
% 1.04/1.14     (~P7(x4201,f17(a1))),
% 1.04/1.14     inference(rename_variables,[],[324])).
% 1.04/1.14  cnf(421,plain,
% 1.04/1.14     (P3(f11(x4211),x4211)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(423,plain,
% 1.04/1.14     (~P7(x4231,f13(x4232))),
% 1.04/1.14     inference(scs_inference,[],[56,134,60,373,376,379,382,385,394,416,50,57,189,309,145,280,289,324,408,273,331,185,211,191,152,223,146,216,155,181,187,107,94,91,90,87,85,115,110,98,126,129,100,113,22,132,118,31,27,24,124,3,101,83])).
% 1.04/1.14  cnf(425,plain,
% 1.04/1.14     (P3(x4251,f15(x4251))),
% 1.04/1.14     inference(scs_inference,[],[56,134,60,373,376,379,382,385,394,416,59,50,57,189,309,145,280,289,324,408,273,331,185,211,191,152,223,146,216,155,181,187,107,94,91,90,87,85,115,110,98,126,129,100,113,22,132,118,31,27,24,124,3,101,83,102])).
% 1.04/1.14  cnf(429,plain,
% 1.04/1.14     (P9(x4291,x4291)),
% 1.04/1.14     inference(rename_variables,[],[59])).
% 1.04/1.14  cnf(431,plain,
% 1.04/1.14     (P3(f11(x4311),x4311)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(434,plain,
% 1.04/1.14     (P9(f9(x4341,a1,a1),f9(x4341,a2,a2))),
% 1.04/1.14     inference(scs_inference,[],[56,134,60,373,376,379,382,385,394,416,421,59,429,50,53,57,189,309,145,280,289,324,408,316,195,273,331,185,211,191,152,223,146,216,155,181,187,107,94,91,90,87,85,115,110,98,126,129,100,113,22,132,118,31,27,24,124,3,101,83,102,2,40,26,25,28,41])).
% 1.04/1.14  cnf(442,plain,
% 1.04/1.14     (P12(f8(a1,a6))),
% 1.04/1.14     inference(scs_inference,[],[56,134,46,60,373,376,379,382,385,394,416,421,431,59,429,50,53,57,189,309,145,280,289,324,408,420,316,195,273,331,336,185,211,191,152,223,146,216,155,181,187,107,94,91,90,87,85,115,110,98,126,129,100,113,22,132,118,31,27,24,124,3,101,83,102,2,40,26,25,28,41,123,68,103,86])).
% 1.04/1.14  cnf(461,plain,
% 1.04/1.14     (P3(f11(x4611),x4611)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(464,plain,
% 1.04/1.14     (P3(f11(x4641),x4641)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(467,plain,
% 1.04/1.14     (~E(a6,f17(f13(x4671)))),
% 1.04/1.14     inference(scs_inference,[],[60,461,423,405,442,412,211,114,111,30,132])).
% 1.04/1.14  cnf(468,plain,
% 1.04/1.14     (~P7(x4681,f13(x4682))),
% 1.04/1.14     inference(rename_variables,[],[423])).
% 1.04/1.14  cnf(474,plain,
% 1.04/1.14     (E(f17(a1),f17(f13(x4741)))),
% 1.04/1.14     inference(scs_inference,[],[60,461,423,468,405,442,330,412,324,211,114,111,30,132,118,100,126])).
% 1.04/1.14  cnf(475,plain,
% 1.04/1.14     (~P7(x4751,f13(x4752))),
% 1.04/1.14     inference(rename_variables,[],[423])).
% 1.04/1.14  cnf(478,plain,
% 1.04/1.14     (P3(f8(a2,a6),a6)),
% 1.04/1.14     inference(scs_inference,[],[60,461,425,423,468,405,442,330,412,324,211,114,111,30,132,118,100,126,124])).
% 1.04/1.14  cnf(481,plain,
% 1.04/1.14     (P7(f11(f15(x4811)),f15(x4811))),
% 1.04/1.14     inference(scs_inference,[],[66,60,461,464,425,423,468,405,442,330,412,324,211,114,111,30,132,118,100,126,124,101])).
% 1.04/1.14  cnf(486,plain,
% 1.04/1.14     (P3(f11(f15(a1)),f15(a2))),
% 1.04/1.14     inference(scs_inference,[],[66,60,461,464,134,425,423,468,475,405,442,330,313,412,324,211,209,114,111,30,132,118,100,126,124,101,23,3,26])).
% 1.04/1.14  cnf(487,plain,
% 1.04/1.14     (P3(f11(x4871),x4871)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(492,plain,
% 1.04/1.14     (~P2(f18(f16(a4),a2))),
% 1.04/1.14     inference(scs_inference,[],[66,60,461,464,487,134,425,423,468,475,405,442,330,434,399,246,313,412,206,324,211,209,114,111,30,132,118,100,126,124,101,23,3,26,40,25,2,28])).
% 1.04/1.14  cnf(514,plain,
% 1.04/1.14     (~P7(x5141,f18(f16(a4),a1))),
% 1.04/1.14     inference(scs_inference,[],[331,141,132])).
% 1.04/1.14  cnf(517,plain,
% 1.04/1.14     (E(a2,f17(f13(x5171)))),
% 1.04/1.14     inference(scs_inference,[],[135,423,331,141,132,126])).
% 1.04/1.14  cnf(523,plain,
% 1.04/1.14     (P7(f13(x5231),f15(x5231))),
% 1.04/1.14     inference(scs_inference,[],[135,66,61,481,423,331,141,132,126,118,101])).
% 1.04/1.14  cnf(524,plain,
% 1.04/1.14     (P3(f13(x5241),f15(x5241))),
% 1.04/1.14     inference(rename_variables,[],[61])).
% 1.04/1.14  cnf(526,plain,
% 1.04/1.14     (~E(f15(x5261),f18(f16(a4),a1))),
% 1.04/1.14     inference(scs_inference,[],[135,66,61,481,423,331,141,132,126,118,101,23])).
% 1.04/1.14  cnf(527,plain,
% 1.04/1.14     (E(f18(f16(a4),a1),f16(a4))),
% 1.04/1.14     inference(scs_inference,[],[135,66,61,481,177,218,423,331,141,132,126,118,101,23,3])).
% 1.04/1.14  cnf(529,plain,
% 1.04/1.14     (P3(x5291,f15(x5291))),
% 1.04/1.14     inference(rename_variables,[],[425])).
% 1.04/1.14  cnf(532,plain,
% 1.04/1.14     (E(f17(f13(x5321)),f17(a1))),
% 1.04/1.14     inference(scs_inference,[],[135,66,60,61,481,474,177,218,425,423,331,309,141,330,132,126,118,101,23,3,26,25,2])).
% 1.04/1.14  cnf(534,plain,
% 1.04/1.14     (~P9(a6,f13(x5341))),
% 1.04/1.14     inference(scs_inference,[],[135,63,66,60,61,57,481,474,177,218,311,425,423,331,309,141,191,330,132,126,118,101,23,3,26,25,2,28,41])).
% 1.04/1.14  cnf(536,plain,
% 1.04/1.14     (P3(x5361,f15(x5361))),
% 1.04/1.14     inference(rename_variables,[],[425])).
% 1.04/1.14  cnf(538,plain,
% 1.04/1.14     (~P2(f14(f15(x5381)))),
% 1.04/1.14     inference(scs_inference,[],[54,135,63,66,60,61,57,481,474,177,218,311,425,529,423,331,309,141,191,330,132,126,118,101,23,3,26,25,2,28,41,130,79])).
% 1.04/1.14  cnf(542,plain,
% 1.04/1.14     (P3(f14(f15(x5421)),f15(f15(x5421)))),
% 1.04/1.14     inference(scs_inference,[],[54,135,63,66,60,61,57,481,474,177,218,311,425,529,423,331,309,141,191,330,132,126,118,101,23,3,26,25,2,28,41,130,79,119,84])).
% 1.04/1.14  cnf(544,plain,
% 1.04/1.14     (P17(f17(a1))),
% 1.04/1.14     inference(scs_inference,[],[54,135,63,66,60,61,57,481,474,419,177,218,311,425,529,423,331,309,141,191,330,132,126,118,101,23,3,26,25,2,28,41,130,79,119,84,76])).
% 1.04/1.14  cnf(552,plain,
% 1.04/1.14     (E(f18(a2,x5521),f18(a1,x5521))),
% 1.04/1.14     inference(scs_inference,[],[54,135,63,66,60,134,61,57,481,474,419,177,218,311,425,529,423,331,309,141,191,330,132,126,118,101,23,3,26,25,2,28,41,130,79,119,84,76,71,69,67,19])).
% 1.04/1.14  cnf(554,plain,
% 1.04/1.14     (E(f9(x5541,x5542,a2),f9(x5541,x5542,a1))),
% 1.04/1.14     inference(scs_inference,[],[54,135,63,66,60,134,61,57,481,474,419,177,218,311,425,529,423,331,309,141,191,330,132,126,118,101,23,3,26,25,2,28,41,130,79,119,84,76,71,69,67,19,15,13])).
% 1.04/1.14  cnf(555,plain,
% 1.04/1.14     (E(f17(a2),f17(a1))),
% 1.04/1.14     inference(scs_inference,[],[54,135,63,66,60,134,61,57,481,474,419,177,218,311,425,529,423,331,309,141,191,330,132,126,118,101,23,3,26,25,2,28,41,130,79,119,84,76,71,69,67,19,15,13,10])).
% 1.04/1.14  cnf(559,plain,
% 1.04/1.14     (P3(f18(x5591,f13(f15(x5591))),f15(x5591))),
% 1.04/1.14     inference(scs_inference,[],[54,135,63,66,60,134,61,524,57,481,474,419,177,218,311,425,529,423,331,309,141,191,330,132,126,118,101,23,3,26,25,2,28,41,130,79,119,84,76,71,69,67,19,15,13,10,9,77,127])).
% 1.04/1.14  cnf(562,plain,
% 1.04/1.14     (E(f18(x5621,f15(x5621)),f17(f15(x5621)))),
% 1.04/1.14     inference(scs_inference,[],[54,135,63,66,60,134,61,524,57,481,474,419,177,218,311,425,529,536,423,331,309,141,191,330,132,126,118,101,23,3,26,25,2,28,41,130,79,119,84,76,71,69,67,19,15,13,10,9,77,127,125])).
% 1.04/1.14  cnf(583,plain,
% 1.04/1.14     (P3(f11(x5831),x5831)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(586,plain,
% 1.04/1.14     (P3(f11(x5861),x5861)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(589,plain,
% 1.04/1.14     (P3(f11(x5891),x5891)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(591,plain,
% 1.04/1.14     (E(f18(x5911,a2),f18(x5911,a1))),
% 1.04/1.14     inference(scs_inference,[],[52,60,583,586,134,389,544,117,96,92,20])).
% 1.04/1.14  cnf(593,plain,
% 1.04/1.14     (E(f10(x5931,a2),f10(x5931,a1))),
% 1.04/1.14     inference(scs_inference,[],[52,60,583,586,134,389,544,117,96,92,20,18,17])).
% 1.04/1.14  cnf(594,plain,
% 1.04/1.14     (E(f10(a2,x5941),f10(a1,x5941))),
% 1.04/1.14     inference(scs_inference,[],[52,60,583,586,134,389,544,117,96,92,20,18,17,16])).
% 1.04/1.14  cnf(597,plain,
% 1.04/1.14     (E(f9(a2,x5971,x5972),f9(a1,x5971,x5972))),
% 1.04/1.14     inference(scs_inference,[],[52,60,583,586,134,389,544,117,96,92,20,18,17,16,14,12,11])).
% 1.04/1.14  cnf(599,plain,
% 1.04/1.14     (E(f8(a2,x5991),f8(a1,x5991))),
% 1.04/1.14     inference(scs_inference,[],[52,60,583,586,134,389,544,117,96,92,20,18,17,16,14,12,11,7,6])).
% 1.04/1.14  cnf(602,plain,
% 1.04/1.14     (~P3(a6,f15(f13(x6021)))),
% 1.04/1.14     inference(scs_inference,[],[52,60,583,586,134,389,534,544,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120])).
% 1.04/1.14  cnf(604,plain,
% 1.04/1.14     (E(f15(a2),f15(a1))),
% 1.04/1.14     inference(scs_inference,[],[52,60,583,586,134,389,534,544,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8])).
% 1.04/1.14  cnf(605,plain,
% 1.04/1.14     (~E(f15(x6051),f17(a2))),
% 1.04/1.14     inference(scs_inference,[],[52,135,60,583,586,134,523,389,534,544,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132])).
% 1.04/1.14  cnf(606,plain,
% 1.04/1.14     (~P7(x6061,a2)),
% 1.04/1.14     inference(rename_variables,[],[135])).
% 1.04/1.14  cnf(608,plain,
% 1.04/1.14     (E(a2,f17(f18(f16(a4),a1)))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,60,583,586,134,523,514,389,534,544,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126])).
% 1.04/1.14  cnf(609,plain,
% 1.04/1.14     (~P7(x6091,f18(f16(a4),a1))),
% 1.04/1.14     inference(rename_variables,[],[514])).
% 1.04/1.14  cnf(612,plain,
% 1.04/1.14     (P2(f18(f16(a4),a1))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,60,583,586,589,134,523,514,609,389,534,544,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101])).
% 1.04/1.14  cnf(614,plain,
% 1.04/1.14     (P3(f11(x6141),x6141)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(619,plain,
% 1.04/1.14     (E(f18(a2,f15(a1)),f17(f15(a1)))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,60,583,586,589,134,562,523,542,514,609,552,389,534,544,309,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101,124,3])).
% 1.04/1.14  cnf(620,plain,
% 1.04/1.14     (E(f18(x6201,f15(x6201)),f17(f15(x6201)))),
% 1.04/1.14     inference(rename_variables,[],[562])).
% 1.04/1.14  cnf(622,plain,
% 1.04/1.14     (~P7(x6221,f17(f13(x6222)))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,60,583,586,589,134,562,523,542,514,609,552,532,389,534,544,324,309,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101,124,3,23])).
% 1.04/1.14  cnf(624,plain,
% 1.04/1.14     (P3(f11(x6241),x6241)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(627,plain,
% 1.04/1.14     (~E(f18(f16(a4),a1),f15(x6271))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,60,583,586,589,614,134,562,620,523,542,514,609,526,552,532,389,534,544,425,324,309,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101,124,3,23,26,25,2])).
% 1.04/1.14  cnf(629,plain,
% 1.04/1.14     (P9(f18(x6291,f15(x6291)),f17(f15(x6291)))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,60,583,586,589,614,53,59,134,562,620,523,542,538,514,609,526,552,532,389,534,544,425,324,309,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101,124,3,23,26,25,2,28,41])).
% 1.04/1.14  cnf(633,plain,
% 1.04/1.14     (~P7(x6331,f11(f15(a2)))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,60,583,586,589,614,624,53,59,134,562,620,523,542,538,514,609,526,552,532,389,534,544,425,324,309,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101,124,3,23,26,25,2,28,41,123,122])).
% 1.04/1.14  cnf(634,plain,
% 1.04/1.14     (P3(f11(x6341),x6341)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(641,plain,
% 1.04/1.14     (P3(f18(x6411,f13(f15(x6411))),f15(x6411))),
% 1.04/1.14     inference(rename_variables,[],[559])).
% 1.04/1.14  cnf(649,plain,
% 1.04/1.14     (P16(f17(a1))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,54,60,583,586,589,614,624,61,53,59,134,559,562,620,523,542,538,514,609,526,552,532,389,534,544,425,324,309,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101,124,3,23,26,25,2,28,41,123,122,82,121,107,91,85,90,74])).
% 1.04/1.14  cnf(653,plain,
% 1.04/1.14     (P10(x6531)+~P3(x6531,f11(f15(a2)))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,54,60,583,586,589,614,624,634,61,53,59,134,559,562,620,523,542,538,514,609,526,277,552,532,389,534,544,425,324,309,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101,124,3,23,26,25,2,28,41,123,122,82,121,107,91,85,90,74,99,97])).
% 1.04/1.14  cnf(655,plain,
% 1.04/1.14     (P12(x6551)+~P3(x6551,f17(a1))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,54,60,583,586,589,614,624,634,61,53,59,134,559,562,620,523,542,538,514,609,526,277,552,532,389,534,544,425,324,309,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101,124,3,23,26,25,2,28,41,123,122,82,121,107,91,85,90,74,99,97,89])).
% 1.04/1.14  cnf(658,plain,
% 1.04/1.14     (P16(f18(a6,f13(f15(a6))))),
% 1.04/1.14     inference(scs_inference,[],[52,135,606,54,60,583,586,589,614,624,634,61,53,59,134,559,641,562,620,523,542,538,514,609,526,277,552,532,389,534,544,425,324,309,117,96,92,20,18,17,16,14,12,11,7,6,5,4,120,8,132,126,101,124,3,23,26,25,2,28,41,123,122,82,121,107,91,85,90,74,99,97,89,32,116])).
% 1.04/1.14  cnf(665,plain,
% 1.04/1.14     (P3(f11(x6651),x6651)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(668,plain,
% 1.04/1.14     (P3(f11(x6681),x6681)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(676,plain,
% 1.04/1.14     (P3(f11(x6761),x6761)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(681,plain,
% 1.04/1.14     (P3(f11(x6811),x6811)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(683,plain,
% 1.04/1.14     (~P3(a6,f15(f18(f16(a4),a1)))),
% 1.04/1.14     inference(scs_inference,[],[43,48,60,665,668,676,612,478,658,413,396,559,412,655,653,72,103,105,94,93,122])).
% 1.04/1.14  cnf(686,plain,
% 1.04/1.14     (P3(f11(x6861),x6861)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(689,plain,
% 1.04/1.14     (P3(f11(x6891),x6891)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(695,plain,
% 1.04/1.14     (~P9(a6,f18(f16(a4),a1))),
% 1.04/1.14     inference(scs_inference,[],[43,48,49,60,665,668,676,681,686,61,612,478,658,608,183,413,396,559,389,412,655,653,72,103,105,94,93,122,95,88,120,29,21,102])).
% 1.04/1.14  cnf(697,plain,
% 1.04/1.14     (~E(a6,f17(f17(f13(x6971))))),
% 1.04/1.14     inference(scs_inference,[],[43,48,49,60,665,668,676,681,686,61,622,612,478,658,608,183,413,396,559,389,412,655,653,72,103,105,94,93,122,95,88,120,29,21,102,132])).
% 1.04/1.14  cnf(700,plain,
% 1.04/1.14     (P7(f8(a2,f15(x7001)),f15(x7001))),
% 1.04/1.14     inference(scs_inference,[],[43,135,48,49,60,665,668,676,681,686,61,622,612,478,658,605,608,183,413,396,559,389,412,655,653,72,103,105,94,93,122,95,88,120,29,21,102,132,126])).
% 1.04/1.14  cnf(701,plain,
% 1.04/1.14     (~P7(x7011,a2)),
% 1.04/1.14     inference(rename_variables,[],[135])).
% 1.04/1.14  cnf(706,plain,
% 1.04/1.14     (~E(f16(a4),f15(x7061))),
% 1.04/1.14     inference(scs_inference,[],[62,43,135,48,49,60,665,668,676,681,686,66,59,61,622,627,612,478,658,605,608,183,527,413,396,559,389,412,655,653,72,103,105,94,93,122,95,88,120,29,21,102,132,126,101,40,3])).
% 1.04/1.14  cnf(712,plain,
% 1.04/1.14     (P3(f11(x7121),x7121)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(713,plain,
% 1.04/1.14     (P2(f17(f18(f16(a4),a1)))),
% 1.04/1.14     inference(scs_inference,[],[62,43,135,701,48,49,60,665,668,676,681,686,689,66,59,61,53,622,627,612,478,658,605,602,604,608,183,527,413,396,559,389,412,523,655,653,72,103,105,94,93,122,95,88,120,29,21,102,132,126,101,40,3,23,26,25,28])).
% 1.04/1.14  cnf(728,plain,
% 1.04/1.14     (P8(f8(a2,a6))),
% 1.04/1.14     inference(scs_inference,[],[62,43,135,701,48,49,52,60,665,668,676,681,686,689,712,66,59,50,61,53,51,622,627,612,478,658,605,619,486,467,602,604,608,183,527,413,396,559,389,412,523,655,653,72,103,105,94,93,122,95,88,120,29,21,102,132,126,101,40,3,23,26,25,28,2,41,70,115,128,98,114,92,99])).
% 1.04/1.14  cnf(736,plain,
% 1.04/1.14     (P3(f8(a2,f15(x7361)),f15(x7361))),
% 1.04/1.14     inference(scs_inference,[],[62,43,135,701,48,49,52,60,665,668,676,681,686,689,712,66,59,50,61,53,51,622,627,612,478,401,658,605,619,486,467,602,604,608,183,527,413,396,559,389,412,523,655,653,72,103,105,94,93,122,95,88,120,29,21,102,132,126,101,40,3,23,26,25,28,2,41,70,115,128,98,114,92,99,97,111,96,100])).
% 1.04/1.14  cnf(764,plain,
% 1.04/1.14     (P3(f11(x7641),x7641)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(767,plain,
% 1.04/1.14     (P3(f8(a2,f15(x7671)),f15(x7671))),
% 1.04/1.14     inference(rename_variables,[],[736])).
% 1.04/1.14  cnf(770,plain,
% 1.04/1.14     (P3(f11(x7701),x7701)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(773,plain,
% 1.04/1.14     (P3(f8(a2,f15(x7731)),f15(x7731))),
% 1.04/1.14     inference(rename_variables,[],[736])).
% 1.04/1.14  cnf(776,plain,
% 1.04/1.14     (E(f8(a2,x7761),f8(a1,x7761))),
% 1.04/1.14     inference(rename_variables,[],[599])).
% 1.04/1.14  cnf(777,plain,
% 1.04/1.14     (P11(f17(f13(x7771)))),
% 1.04/1.14     inference(scs_inference,[],[45,49,60,764,51,736,767,599,517,649,106,115,117,113,27,24])).
% 1.04/1.14  cnf(778,plain,
% 1.04/1.14     (E(f15(f9(a2,x7781,x7782)),f15(f9(a1,x7781,x7782)))),
% 1.04/1.14     inference(scs_inference,[],[45,49,60,764,51,736,767,597,599,517,649,106,115,117,113,27,24,8])).
% 1.04/1.14  cnf(783,plain,
% 1.04/1.14     (P7(f8(a1,f15(x7831)),f15(x7831))),
% 1.04/1.14     inference(scs_inference,[],[45,49,60,764,51,713,736,767,700,597,599,776,683,517,649,106,115,117,113,27,24,8,100,83,22])).
% 1.04/1.14  cnf(784,plain,
% 1.04/1.14     (E(f8(a2,x7841),f8(a1,x7841))),
% 1.04/1.14     inference(rename_variables,[],[599])).
% 1.04/1.14  cnf(785,plain,
% 1.04/1.14     (~P7(x7851,f17(a2))),
% 1.04/1.14     inference(scs_inference,[],[45,49,60,764,51,713,736,767,700,597,599,776,683,517,555,649,331,106,115,117,113,27,24,8,100,83,22,132])).
% 1.04/1.14  cnf(790,plain,
% 1.04/1.14     (P3(f8(a1,f15(x7901)),f15(x7901))),
% 1.04/1.14     inference(scs_inference,[],[45,49,60,764,51,629,713,736,767,700,597,599,776,683,517,555,649,331,425,106,115,117,113,27,24,8,100,83,22,132,102,124])).
% 1.04/1.14  cnf(791,plain,
% 1.04/1.14     (P3(x7911,f15(x7911))),
% 1.04/1.14     inference(rename_variables,[],[425])).
% 1.04/1.14  cnf(800,plain,
% 1.04/1.14     (~P7(x8001,f11(f15(a2)))),
% 1.04/1.14     inference(rename_variables,[],[633])).
% 1.04/1.14  cnf(808,plain,
% 1.04/1.14     (~E(f15(a6),f15(f18(f16(a4),a1)))),
% 1.04/1.14     inference(scs_inference,[],[137,45,135,49,60,764,66,51,629,713,248,736,767,633,800,700,597,599,776,683,554,517,555,649,331,425,791,42,106,115,117,113,27,24,8,100,83,22,132,102,124,118,101,126,40,23,3,26])).
% 1.04/1.14  cnf(824,plain,
% 1.04/1.14     (~P3(a6,f15(f18(f16(a4),a2)))),
% 1.04/1.14     inference(scs_inference,[],[62,137,45,47,135,63,49,60,764,770,66,51,629,728,713,248,736,767,773,633,800,700,597,591,599,776,784,706,683,695,554,517,555,649,331,425,791,544,42,106,115,117,113,27,24,8,100,83,22,132,102,124,118,101,126,40,23,3,26,28,2,41,110,98,105,116,39,120])).
% 1.04/1.14  cnf(851,plain,
% 1.04/1.14     (P3(f11(x8511),x8511)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(854,plain,
% 1.04/1.14     (P3(f11(x8541),x8541)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(860,plain,
% 1.04/1.14     (P3(f11(x8601),x8601)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(863,plain,
% 1.04/1.14     (P3(f11(x8631),x8631)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(869,plain,
% 1.04/1.14     (P7(f8(a1,f15(x8691)),f15(x8691))),
% 1.04/1.14     inference(rename_variables,[],[783])).
% 1.04/1.14  cnf(881,plain,
% 1.04/1.14     (P3(f11(x8811),x8811)),
% 1.04/1.14     inference(rename_variables,[],[60])).
% 1.04/1.14  cnf(892,plain,
% 1.04/1.14     ($false),
% 1.04/1.14     inference(scs_inference,[],[60,851,854,860,863,881,49,59,777,307,778,783,869,790,492,593,594,785,808,334,697,824,197,403,622,612,181,425,112,109,106,114,86,120,8,22,118,126,124,101,40,23,26,3,28]),
% 1.04/1.14     ['proof']).
% 1.04/1.14  % SZS output end Proof
% 1.04/1.14  % Total time :0.490000s
%------------------------------------------------------------------------------