TSTP Solution File: SEU261+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU261+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:18:49 EDT 2023
% Result : Theorem 3.75s 3.80s
% Output : CNFRefutation 3.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU261+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n015.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 17:12:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 3.66/3.75 %-------------------------------------------
% 3.66/3.75 % File :CSE---1.6
% 3.66/3.76 % Problem :theBenchmark
% 3.66/3.76 % Transform :cnf
% 3.66/3.76 % Format :tptp:raw
% 3.66/3.76 % Command :java -jar mcs_scs.jar %d %s
% 3.66/3.76
% 3.66/3.76 % Result :Theorem 2.790000s
% 3.66/3.76 % Output :CNFRefutation 2.790000s
% 3.66/3.76 %-------------------------------------------
% 3.66/3.76 %------------------------------------------------------------------------------
% 3.66/3.76 % File : SEU261+2 : TPTP v8.1.2. Released v3.3.0.
% 3.66/3.76 % Domain : Set theory
% 3.66/3.76 % Problem : MPTP chainy problem t54_wellord1
% 3.66/3.76 % Version : [Urb07] axioms : Especial.
% 3.66/3.76 % English :
% 3.66/3.76
% 3.66/3.76 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 3.66/3.76 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 3.66/3.76 % Source : [Urb07]
% 3.66/3.76 % Names : chainy-t54_wellord1 [Urb07]
% 3.66/3.76
% 3.66/3.76 % Status : Theorem
% 3.66/3.76 % Rating : 0.33 v8.1.0, 0.31 v7.4.0, 0.27 v7.3.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.33 v6.0.0, 0.39 v5.5.0, 0.37 v5.4.0, 0.39 v5.3.0, 0.48 v5.2.0, 0.30 v5.1.0, 0.33 v5.0.0, 0.38 v4.1.0, 0.39 v4.0.1, 0.43 v4.0.0, 0.46 v3.7.0, 0.45 v3.5.0, 0.42 v3.3.0
% 3.66/3.76 % Syntax : Number of formulae : 321 ( 58 unt; 0 def)
% 3.66/3.76 % Number of atoms : 1030 ( 177 equ)
% 3.66/3.76 % Maximal formula atoms : 15 ( 3 avg)
% 3.66/3.76 % Number of connectives : 818 ( 109 ~; 8 |; 275 &)
% 3.66/3.76 % ( 117 <=>; 309 =>; 0 <=; 0 <~>)
% 3.66/3.76 % Maximal formula depth : 16 ( 5 avg)
% 3.66/3.76 % Maximal term depth : 4 ( 1 avg)
% 3.66/3.76 % Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% 3.66/3.76 % Number of functors : 33 ( 33 usr; 1 con; 0-3 aty)
% 3.66/3.76 % Number of variables : 687 ( 655 !; 32 ?)
% 3.66/3.76 % SPC : FOF_THM_RFO_SEQ
% 3.66/3.76
% 3.66/3.76 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 3.66/3.76 % library, www.mizar.org
% 3.66/3.76 %------------------------------------------------------------------------------
% 3.66/3.76 fof(antisymmetry_r2_hidden,axiom,
% 3.66/3.76 ! [A,B] :
% 3.66/3.76 ( in(A,B)
% 3.66/3.76 => ~ in(B,A) ) ).
% 3.66/3.76
% 3.66/3.76 fof(antisymmetry_r2_xboole_0,axiom,
% 3.66/3.76 ! [A,B] :
% 3.66/3.76 ( proper_subset(A,B)
% 3.66/3.76 => ~ proper_subset(B,A) ) ).
% 3.66/3.76
% 3.66/3.76 fof(cc1_funct_1,axiom,
% 3.66/3.76 ! [A] :
% 3.66/3.76 ( empty(A)
% 3.66/3.76 => function(A) ) ).
% 3.66/3.76
% 3.66/3.76 fof(cc1_ordinal1,axiom,
% 3.66/3.76 ! [A] :
% 3.66/3.76 ( ordinal(A)
% 3.66/3.76 => ( epsilon_transitive(A)
% 3.66/3.76 & epsilon_connected(A) ) ) ).
% 3.66/3.76
% 3.66/3.76 fof(cc1_relat_1,axiom,
% 3.66/3.76 ! [A] :
% 3.66/3.76 ( empty(A)
% 3.66/3.76 => relation(A) ) ).
% 3.66/3.76
% 3.66/3.76 fof(cc2_funct_1,axiom,
% 3.66/3.76 ! [A] :
% 3.66/3.76 ( ( relation(A)
% 3.66/3.76 & empty(A)
% 3.66/3.76 & function(A) )
% 3.66/3.76 => ( relation(A)
% 3.66/3.76 & function(A)
% 3.66/3.76 & one_to_one(A) ) ) ).
% 3.66/3.76
% 3.66/3.76 fof(cc2_ordinal1,axiom,
% 3.66/3.76 ! [A] :
% 3.66/3.76 ( ( epsilon_transitive(A)
% 3.66/3.76 & epsilon_connected(A) )
% 3.66/3.76 => ordinal(A) ) ).
% 3.66/3.76
% 3.66/3.76 fof(cc3_ordinal1,axiom,
% 3.66/3.76 ! [A] :
% 3.66/3.76 ( empty(A)
% 3.66/3.76 => ( epsilon_transitive(A)
% 3.66/3.76 & epsilon_connected(A)
% 3.66/3.76 & ordinal(A) ) ) ).
% 3.66/3.76
% 3.66/3.76 fof(commutativity_k2_tarski,axiom,
% 3.66/3.76 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 3.66/3.76
% 3.66/3.76 fof(commutativity_k2_xboole_0,axiom,
% 3.66/3.77 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 3.66/3.77
% 3.66/3.77 fof(commutativity_k3_xboole_0,axiom,
% 3.66/3.77 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 3.66/3.77
% 3.66/3.77 fof(connectedness_r1_ordinal1,axiom,
% 3.66/3.77 ! [A,B] :
% 3.66/3.77 ( ( ordinal(A)
% 3.66/3.77 & ordinal(B) )
% 3.66/3.77 => ( ordinal_subset(A,B)
% 3.66/3.77 | ordinal_subset(B,A) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d10_relat_1,axiom,
% 3.66/3.77 ! [A,B] :
% 3.66/3.77 ( relation(B)
% 3.66/3.77 => ( B = identity_relation(A)
% 3.66/3.77 <=> ! [C,D] :
% 3.66/3.77 ( in(ordered_pair(C,D),B)
% 3.66/3.77 <=> ( in(C,A)
% 3.66/3.77 & C = D ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d10_xboole_0,axiom,
% 3.66/3.77 ! [A,B] :
% 3.66/3.77 ( A = B
% 3.66/3.77 <=> ( subset(A,B)
% 3.66/3.77 & subset(B,A) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d11_relat_1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ! [B,C] :
% 3.66/3.77 ( relation(C)
% 3.66/3.77 => ( C = relation_dom_restriction(A,B)
% 3.66/3.77 <=> ! [D,E] :
% 3.66/3.77 ( in(ordered_pair(D,E),C)
% 3.66/3.77 <=> ( in(D,B)
% 3.66/3.77 & in(ordered_pair(D,E),A) ) ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d12_funct_1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( ( relation(A)
% 3.66/3.77 & function(A) )
% 3.66/3.77 => ! [B,C] :
% 3.66/3.77 ( C = relation_image(A,B)
% 3.66/3.77 <=> ! [D] :
% 3.66/3.77 ( in(D,C)
% 3.66/3.77 <=> ? [E] :
% 3.66/3.77 ( in(E,relation_dom(A))
% 3.66/3.77 & in(E,B)
% 3.66/3.77 & D = apply(A,E) ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d12_relat_1,axiom,
% 3.66/3.77 ! [A,B] :
% 3.66/3.77 ( relation(B)
% 3.66/3.77 => ! [C] :
% 3.66/3.77 ( relation(C)
% 3.66/3.77 => ( C = relation_rng_restriction(A,B)
% 3.66/3.77 <=> ! [D,E] :
% 3.66/3.77 ( in(ordered_pair(D,E),C)
% 3.66/3.77 <=> ( in(E,A)
% 3.66/3.77 & in(ordered_pair(D,E),B) ) ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d12_relat_2,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ( antisymmetric(A)
% 3.66/3.77 <=> is_antisymmetric_in(A,relation_field(A)) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d13_funct_1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( ( relation(A)
% 3.66/3.77 & function(A) )
% 3.66/3.77 => ! [B,C] :
% 3.66/3.77 ( C = relation_inverse_image(A,B)
% 3.66/3.77 <=> ! [D] :
% 3.66/3.77 ( in(D,C)
% 3.66/3.77 <=> ( in(D,relation_dom(A))
% 3.66/3.77 & in(apply(A,D),B) ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d13_relat_1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ! [B,C] :
% 3.66/3.77 ( C = relation_image(A,B)
% 3.66/3.77 <=> ! [D] :
% 3.66/3.77 ( in(D,C)
% 3.66/3.77 <=> ? [E] :
% 3.66/3.77 ( in(ordered_pair(E,D),A)
% 3.66/3.77 & in(E,B) ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d14_relat_1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ! [B,C] :
% 3.66/3.77 ( C = relation_inverse_image(A,B)
% 3.66/3.77 <=> ! [D] :
% 3.66/3.77 ( in(D,C)
% 3.66/3.77 <=> ? [E] :
% 3.66/3.77 ( in(ordered_pair(D,E),A)
% 3.66/3.77 & in(E,B) ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d14_relat_2,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ( connected(A)
% 3.66/3.77 <=> is_connected_in(A,relation_field(A)) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d16_relat_2,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ( transitive(A)
% 3.66/3.77 <=> is_transitive_in(A,relation_field(A)) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d1_enumset1,axiom,
% 3.66/3.77 ! [A,B,C,D] :
% 3.66/3.77 ( D = unordered_triple(A,B,C)
% 3.66/3.77 <=> ! [E] :
% 3.66/3.77 ( in(E,D)
% 3.66/3.77 <=> ~ ( E != A
% 3.66/3.77 & E != B
% 3.66/3.77 & E != C ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d1_ordinal1,axiom,
% 3.66/3.77 ! [A] : succ(A) = set_union2(A,singleton(A)) ).
% 3.66/3.77
% 3.66/3.77 fof(d1_relat_1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 <=> ! [B] :
% 3.66/3.77 ~ ( in(B,A)
% 3.66/3.77 & ! [C,D] : B != ordered_pair(C,D) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d1_relat_2,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ! [B] :
% 3.66/3.77 ( is_reflexive_in(A,B)
% 3.66/3.77 <=> ! [C] :
% 3.66/3.77 ( in(C,B)
% 3.66/3.77 => in(ordered_pair(C,C),A) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d1_setfam_1,axiom,
% 3.66/3.77 ! [A,B] :
% 3.66/3.77 ( ( A != empty_set
% 3.66/3.77 => ( B = set_meet(A)
% 3.66/3.77 <=> ! [C] :
% 3.66/3.77 ( in(C,B)
% 3.66/3.77 <=> ! [D] :
% 3.66/3.77 ( in(D,A)
% 3.66/3.77 => in(C,D) ) ) ) )
% 3.66/3.77 & ( A = empty_set
% 3.66/3.77 => ( B = set_meet(A)
% 3.66/3.77 <=> B = empty_set ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d1_tarski,axiom,
% 3.66/3.77 ! [A,B] :
% 3.66/3.77 ( B = singleton(A)
% 3.66/3.77 <=> ! [C] :
% 3.66/3.77 ( in(C,B)
% 3.66/3.77 <=> C = A ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d1_wellord1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ! [B,C] :
% 3.66/3.77 ( C = fiber(A,B)
% 3.66/3.77 <=> ! [D] :
% 3.66/3.77 ( in(D,C)
% 3.66/3.77 <=> ( D != B
% 3.66/3.77 & in(ordered_pair(D,B),A) ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d1_xboole_0,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( A = empty_set
% 3.66/3.77 <=> ! [B] : ~ in(B,A) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d1_zfmisc_1,axiom,
% 3.66/3.77 ! [A,B] :
% 3.66/3.77 ( B = powerset(A)
% 3.66/3.77 <=> ! [C] :
% 3.66/3.77 ( in(C,B)
% 3.66/3.77 <=> subset(C,A) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d2_ordinal1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( epsilon_transitive(A)
% 3.66/3.77 <=> ! [B] :
% 3.66/3.77 ( in(B,A)
% 3.66/3.77 => subset(B,A) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d2_relat_1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ! [B] :
% 3.66/3.77 ( relation(B)
% 3.66/3.77 => ( A = B
% 3.66/3.77 <=> ! [C,D] :
% 3.66/3.77 ( in(ordered_pair(C,D),A)
% 3.66/3.77 <=> in(ordered_pair(C,D),B) ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d2_subset_1,axiom,
% 3.66/3.77 ! [A,B] :
% 3.66/3.77 ( ( ~ empty(A)
% 3.66/3.77 => ( element(B,A)
% 3.66/3.77 <=> in(B,A) ) )
% 3.66/3.77 & ( empty(A)
% 3.66/3.77 => ( element(B,A)
% 3.66/3.77 <=> empty(B) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d2_tarski,axiom,
% 3.66/3.77 ! [A,B,C] :
% 3.66/3.77 ( C = unordered_pair(A,B)
% 3.66/3.77 <=> ! [D] :
% 3.66/3.77 ( in(D,C)
% 3.66/3.77 <=> ( D = A
% 3.66/3.77 | D = B ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d2_wellord1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( relation(A)
% 3.66/3.77 => ( well_founded_relation(A)
% 3.66/3.77 <=> ! [B] :
% 3.66/3.77 ~ ( subset(B,relation_field(A))
% 3.66/3.77 & B != empty_set
% 3.66/3.77 & ! [C] :
% 3.66/3.77 ~ ( in(C,B)
% 3.66/3.77 & disjoint(fiber(A,C),B) ) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d2_xboole_0,axiom,
% 3.66/3.77 ! [A,B,C] :
% 3.66/3.77 ( C = set_union2(A,B)
% 3.66/3.77 <=> ! [D] :
% 3.66/3.77 ( in(D,C)
% 3.66/3.77 <=> ( in(D,A)
% 3.66/3.77 | in(D,B) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d2_zfmisc_1,axiom,
% 3.66/3.77 ! [A,B,C] :
% 3.66/3.77 ( C = cartesian_product2(A,B)
% 3.66/3.77 <=> ! [D] :
% 3.66/3.77 ( in(D,C)
% 3.66/3.77 <=> ? [E,F] :
% 3.66/3.77 ( in(E,A)
% 3.66/3.77 & in(F,B)
% 3.66/3.77 & D = ordered_pair(E,F) ) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d3_ordinal1,axiom,
% 3.66/3.77 ! [A] :
% 3.66/3.77 ( epsilon_connected(A)
% 3.66/3.77 <=> ! [B,C] :
% 3.66/3.77 ~ ( in(B,A)
% 3.66/3.77 & in(C,A)
% 3.66/3.77 & ~ in(B,C)
% 3.66/3.77 & B != C
% 3.66/3.77 & ~ in(C,B) ) ) ).
% 3.66/3.77
% 3.66/3.77 fof(d3_relat_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( relation(B)
% 3.66/3.78 => ( subset(A,B)
% 3.66/3.78 <=> ! [C,D] :
% 3.66/3.78 ( in(ordered_pair(C,D),A)
% 3.66/3.78 => in(ordered_pair(C,D),B) ) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d3_tarski,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( subset(A,B)
% 3.66/3.78 <=> ! [C] :
% 3.66/3.78 ( in(C,A)
% 3.66/3.78 => in(C,B) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d3_wellord1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( is_well_founded_in(A,B)
% 3.66/3.78 <=> ! [C] :
% 3.66/3.78 ~ ( subset(C,B)
% 3.66/3.78 & C != empty_set
% 3.66/3.78 & ! [D] :
% 3.66/3.78 ~ ( in(D,C)
% 3.66/3.78 & disjoint(fiber(A,D),C) ) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d3_xboole_0,axiom,
% 3.66/3.78 ! [A,B,C] :
% 3.66/3.78 ( C = set_intersection2(A,B)
% 3.66/3.78 <=> ! [D] :
% 3.66/3.78 ( in(D,C)
% 3.66/3.78 <=> ( in(D,A)
% 3.66/3.78 & in(D,B) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d4_funct_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( ( relation(A)
% 3.66/3.78 & function(A) )
% 3.66/3.78 => ! [B,C] :
% 3.66/3.78 ( ( in(B,relation_dom(A))
% 3.66/3.78 => ( C = apply(A,B)
% 3.66/3.78 <=> in(ordered_pair(B,C),A) ) )
% 3.66/3.78 & ( ~ in(B,relation_dom(A))
% 3.66/3.78 => ( C = apply(A,B)
% 3.66/3.78 <=> C = empty_set ) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d4_ordinal1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( ordinal(A)
% 3.66/3.78 <=> ( epsilon_transitive(A)
% 3.66/3.78 & epsilon_connected(A) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d4_relat_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( B = relation_dom(A)
% 3.66/3.78 <=> ! [C] :
% 3.66/3.78 ( in(C,B)
% 3.66/3.78 <=> ? [D] : in(ordered_pair(C,D),A) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d4_relat_2,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( is_antisymmetric_in(A,B)
% 3.66/3.78 <=> ! [C,D] :
% 3.66/3.78 ( ( in(C,B)
% 3.66/3.78 & in(D,B)
% 3.66/3.78 & in(ordered_pair(C,D),A)
% 3.66/3.78 & in(ordered_pair(D,C),A) )
% 3.66/3.78 => C = D ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d4_subset_1,axiom,
% 3.66/3.78 ! [A] : cast_to_subset(A) = A ).
% 3.66/3.78
% 3.66/3.78 fof(d4_tarski,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( B = union(A)
% 3.66/3.78 <=> ! [C] :
% 3.66/3.78 ( in(C,B)
% 3.66/3.78 <=> ? [D] :
% 3.66/3.78 ( in(C,D)
% 3.66/3.78 & in(D,A) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d4_wellord1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ( well_ordering(A)
% 3.66/3.78 <=> ( reflexive(A)
% 3.66/3.78 & transitive(A)
% 3.66/3.78 & antisymmetric(A)
% 3.66/3.78 & connected(A)
% 3.66/3.78 & well_founded_relation(A) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d4_xboole_0,axiom,
% 3.66/3.78 ! [A,B,C] :
% 3.66/3.78 ( C = set_difference(A,B)
% 3.66/3.78 <=> ! [D] :
% 3.66/3.78 ( in(D,C)
% 3.66/3.78 <=> ( in(D,A)
% 3.66/3.78 & ~ in(D,B) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d5_funct_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( ( relation(A)
% 3.66/3.78 & function(A) )
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( B = relation_rng(A)
% 3.66/3.78 <=> ! [C] :
% 3.66/3.78 ( in(C,B)
% 3.66/3.78 <=> ? [D] :
% 3.66/3.78 ( in(D,relation_dom(A))
% 3.66/3.78 & C = apply(A,D) ) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d5_relat_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( B = relation_rng(A)
% 3.66/3.78 <=> ! [C] :
% 3.66/3.78 ( in(C,B)
% 3.66/3.78 <=> ? [D] : in(ordered_pair(D,C),A) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d5_subset_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( element(B,powerset(A))
% 3.66/3.78 => subset_complement(A,B) = set_difference(A,B) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d5_tarski,axiom,
% 3.66/3.78 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 3.66/3.78
% 3.66/3.78 fof(d5_wellord1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( well_orders(A,B)
% 3.66/3.78 <=> ( is_reflexive_in(A,B)
% 3.66/3.78 & is_transitive_in(A,B)
% 3.66/3.78 & is_antisymmetric_in(A,B)
% 3.66/3.78 & is_connected_in(A,B)
% 3.66/3.78 & is_well_founded_in(A,B) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d6_ordinal1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( being_limit_ordinal(A)
% 3.66/3.78 <=> A = union(A) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d6_relat_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d6_relat_2,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( is_connected_in(A,B)
% 3.66/3.78 <=> ! [C,D] :
% 3.66/3.78 ~ ( in(C,B)
% 3.66/3.78 & in(D,B)
% 3.66/3.78 & C != D
% 3.66/3.78 & ~ in(ordered_pair(C,D),A)
% 3.66/3.78 & ~ in(ordered_pair(D,C),A) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d6_wellord1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d7_relat_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( relation(B)
% 3.66/3.78 => ( B = relation_inverse(A)
% 3.66/3.78 <=> ! [C,D] :
% 3.66/3.78 ( in(ordered_pair(C,D),B)
% 3.66/3.78 <=> in(ordered_pair(D,C),A) ) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d7_wellord1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( relation(B)
% 3.66/3.78 => ! [C] :
% 3.66/3.78 ( ( relation(C)
% 3.66/3.78 & function(C) )
% 3.66/3.78 => ( relation_isomorphism(A,B,C)
% 3.66/3.78 <=> ( relation_dom(C) = relation_field(A)
% 3.66/3.78 & relation_rng(C) = relation_field(B)
% 3.66/3.78 & one_to_one(C)
% 3.66/3.78 & ! [D,E] :
% 3.66/3.78 ( in(ordered_pair(D,E),A)
% 3.66/3.78 <=> ( in(D,relation_field(A))
% 3.66/3.78 & in(E,relation_field(A))
% 3.66/3.78 & in(ordered_pair(apply(C,D),apply(C,E)),B) ) ) ) ) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d7_xboole_0,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( disjoint(A,B)
% 3.66/3.78 <=> set_intersection2(A,B) = empty_set ) ).
% 3.66/3.78
% 3.66/3.78 fof(d8_funct_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( ( relation(A)
% 3.66/3.78 & function(A) )
% 3.66/3.78 => ( one_to_one(A)
% 3.66/3.78 <=> ! [B,C] :
% 3.66/3.78 ( ( in(B,relation_dom(A))
% 3.66/3.78 & in(C,relation_dom(A))
% 3.66/3.78 & apply(A,B) = apply(A,C) )
% 3.66/3.78 => B = C ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d8_relat_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( relation(B)
% 3.66/3.78 => ! [C] :
% 3.66/3.78 ( relation(C)
% 3.66/3.78 => ( C = relation_composition(A,B)
% 3.66/3.78 <=> ! [D,E] :
% 3.66/3.78 ( in(ordered_pair(D,E),C)
% 3.66/3.78 <=> ? [F] :
% 3.66/3.78 ( in(ordered_pair(D,F),A)
% 3.66/3.78 & in(ordered_pair(F,E),B) ) ) ) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d8_relat_2,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ! [B] :
% 3.66/3.78 ( is_transitive_in(A,B)
% 3.66/3.78 <=> ! [C,D,E] :
% 3.66/3.78 ( ( in(C,B)
% 3.66/3.78 & in(D,B)
% 3.66/3.78 & in(E,B)
% 3.66/3.78 & in(ordered_pair(C,D),A)
% 3.66/3.78 & in(ordered_pair(D,E),A) )
% 3.66/3.78 => in(ordered_pair(C,E),A) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d8_setfam_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( element(B,powerset(powerset(A)))
% 3.66/3.78 => ! [C] :
% 3.66/3.78 ( element(C,powerset(powerset(A)))
% 3.66/3.78 => ( C = complements_of_subsets(A,B)
% 3.66/3.78 <=> ! [D] :
% 3.66/3.78 ( element(D,powerset(A))
% 3.66/3.78 => ( in(D,C)
% 3.66/3.78 <=> in(subset_complement(A,D),B) ) ) ) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d8_xboole_0,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( proper_subset(A,B)
% 3.66/3.78 <=> ( subset(A,B)
% 3.66/3.78 & A != B ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d9_funct_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( ( relation(A)
% 3.66/3.78 & function(A) )
% 3.66/3.78 => ( one_to_one(A)
% 3.66/3.78 => function_inverse(A) = relation_inverse(A) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(d9_relat_2,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => ( reflexive(A)
% 3.66/3.78 <=> is_reflexive_in(A,relation_field(A)) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k10_relat_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k1_enumset1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k1_funct_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k1_ordinal1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k1_relat_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k1_setfam_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k1_tarski,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k1_wellord1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k1_xboole_0,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k1_zfmisc_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k2_funct_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( ( relation(A)
% 3.66/3.78 & function(A) )
% 3.66/3.78 => ( relation(function_inverse(A))
% 3.66/3.78 & function(function_inverse(A)) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k2_relat_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k2_subset_1,axiom,
% 3.66/3.78 ! [A] : element(cast_to_subset(A),powerset(A)) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k2_tarski,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k2_wellord1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => relation(relation_restriction(A,B)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k2_xboole_0,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k2_zfmisc_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k3_relat_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k3_subset_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( element(B,powerset(A))
% 3.66/3.78 => element(subset_complement(A,B),powerset(A)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k3_tarski,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k3_xboole_0,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k4_relat_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => relation(relation_inverse(A)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k4_tarski,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k4_xboole_0,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k5_relat_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( ( relation(A)
% 3.66/3.78 & relation(B) )
% 3.66/3.78 => relation(relation_composition(A,B)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k5_setfam_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( element(B,powerset(powerset(A)))
% 3.66/3.78 => element(union_of_subsets(A,B),powerset(A)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k6_relat_1,axiom,
% 3.66/3.78 ! [A] : relation(identity_relation(A)) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k6_setfam_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( element(B,powerset(powerset(A)))
% 3.66/3.78 => element(meet_of_subsets(A,B),powerset(A)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k6_subset_1,axiom,
% 3.66/3.78 ! [A,B,C] :
% 3.66/3.78 ( ( element(B,powerset(A))
% 3.66/3.78 & element(C,powerset(A)) )
% 3.66/3.78 => element(subset_difference(A,B,C),powerset(A)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k7_relat_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( relation(A)
% 3.66/3.78 => relation(relation_dom_restriction(A,B)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k7_setfam_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( element(B,powerset(powerset(A)))
% 3.66/3.78 => element(complements_of_subsets(A,B),powerset(powerset(A))) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k8_relat_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( relation(B)
% 3.66/3.78 => relation(relation_rng_restriction(A,B)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(dt_k9_relat_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(dt_m1_subset_1,axiom,
% 3.66/3.78 $true ).
% 3.66/3.78
% 3.66/3.78 fof(existence_m1_subset_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ? [B] : element(B,A) ).
% 3.66/3.78
% 3.66/3.78 fof(fc10_relat_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( ( empty(A)
% 3.66/3.78 & relation(B) )
% 3.66/3.78 => ( empty(relation_composition(B,A))
% 3.66/3.78 & relation(relation_composition(B,A)) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(fc11_relat_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( empty(A)
% 3.66/3.78 => ( empty(relation_inverse(A))
% 3.66/3.78 & relation(relation_inverse(A)) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(fc12_relat_1,axiom,
% 3.66/3.78 ( empty(empty_set)
% 3.66/3.78 & relation(empty_set)
% 3.66/3.78 & relation_empty_yielding(empty_set) ) ).
% 3.66/3.78
% 3.66/3.78 fof(fc13_relat_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( ( relation(A)
% 3.66/3.78 & relation_empty_yielding(A) )
% 3.66/3.78 => ( relation(relation_dom_restriction(A,B))
% 3.66/3.78 & relation_empty_yielding(relation_dom_restriction(A,B)) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(fc1_funct_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( ( relation(A)
% 3.66/3.78 & function(A)
% 3.66/3.78 & relation(B)
% 3.66/3.78 & function(B) )
% 3.66/3.78 => ( relation(relation_composition(A,B))
% 3.66/3.78 & function(relation_composition(A,B)) ) ) ).
% 3.66/3.78
% 3.66/3.78 fof(fc1_ordinal1,axiom,
% 3.66/3.78 ! [A] : ~ empty(succ(A)) ).
% 3.66/3.78
% 3.66/3.78 fof(fc1_relat_1,axiom,
% 3.66/3.78 ! [A,B] :
% 3.66/3.78 ( ( relation(A)
% 3.66/3.78 & relation(B) )
% 3.66/3.78 => relation(set_intersection2(A,B)) ) ).
% 3.66/3.78
% 3.66/3.78 fof(fc1_subset_1,axiom,
% 3.66/3.78 ! [A] : ~ empty(powerset(A)) ).
% 3.66/3.78
% 3.66/3.78 fof(fc1_xboole_0,axiom,
% 3.66/3.78 empty(empty_set) ).
% 3.66/3.78
% 3.66/3.78 fof(fc1_zfmisc_1,axiom,
% 3.66/3.78 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 3.66/3.78
% 3.66/3.78 fof(fc2_funct_1,axiom,
% 3.66/3.78 ! [A] :
% 3.66/3.78 ( relation(identity_relation(A))
% 3.66/3.78 & function(identity_relation(A)) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc2_ordinal1,axiom,
% 3.66/3.79 ( relation(empty_set)
% 3.66/3.79 & relation_empty_yielding(empty_set)
% 3.66/3.79 & function(empty_set)
% 3.66/3.79 & one_to_one(empty_set)
% 3.66/3.79 & empty(empty_set)
% 3.66/3.79 & epsilon_transitive(empty_set)
% 3.66/3.79 & epsilon_connected(empty_set)
% 3.66/3.79 & ordinal(empty_set) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc2_relat_1,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( ( relation(A)
% 3.66/3.79 & relation(B) )
% 3.66/3.79 => relation(set_union2(A,B)) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc2_subset_1,axiom,
% 3.66/3.79 ! [A] : ~ empty(singleton(A)) ).
% 3.66/3.79
% 3.66/3.79 fof(fc2_xboole_0,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( ~ empty(A)
% 3.66/3.79 => ~ empty(set_union2(A,B)) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc3_funct_1,axiom,
% 3.66/3.79 ! [A] :
% 3.66/3.79 ( ( relation(A)
% 3.66/3.79 & function(A)
% 3.66/3.79 & one_to_one(A) )
% 3.66/3.79 => ( relation(relation_inverse(A))
% 3.66/3.79 & function(relation_inverse(A)) ) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc3_ordinal1,axiom,
% 3.66/3.79 ! [A] :
% 3.66/3.79 ( ordinal(A)
% 3.66/3.79 => ( ~ empty(succ(A))
% 3.66/3.79 & epsilon_transitive(succ(A))
% 3.66/3.79 & epsilon_connected(succ(A))
% 3.66/3.79 & ordinal(succ(A)) ) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc3_relat_1,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( ( relation(A)
% 3.66/3.79 & relation(B) )
% 3.66/3.79 => relation(set_difference(A,B)) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc3_subset_1,axiom,
% 3.66/3.79 ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 3.66/3.79
% 3.66/3.79 fof(fc3_xboole_0,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( ~ empty(A)
% 3.66/3.79 => ~ empty(set_union2(B,A)) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc4_funct_1,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( ( relation(A)
% 3.66/3.79 & function(A) )
% 3.66/3.79 => ( relation(relation_dom_restriction(A,B))
% 3.66/3.79 & function(relation_dom_restriction(A,B)) ) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc4_ordinal1,axiom,
% 3.66/3.79 ! [A] :
% 3.66/3.79 ( ordinal(A)
% 3.66/3.79 => ( epsilon_transitive(union(A))
% 3.66/3.79 & epsilon_connected(union(A))
% 3.66/3.79 & ordinal(union(A)) ) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc4_relat_1,axiom,
% 3.66/3.79 ( empty(empty_set)
% 3.66/3.79 & relation(empty_set) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc4_subset_1,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( ( ~ empty(A)
% 3.66/3.79 & ~ empty(B) )
% 3.66/3.79 => ~ empty(cartesian_product2(A,B)) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc5_funct_1,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( ( relation(B)
% 3.66/3.79 & function(B) )
% 3.66/3.79 => ( relation(relation_rng_restriction(A,B))
% 3.66/3.79 & function(relation_rng_restriction(A,B)) ) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc5_relat_1,axiom,
% 3.66/3.79 ! [A] :
% 3.66/3.79 ( ( ~ empty(A)
% 3.66/3.79 & relation(A) )
% 3.66/3.79 => ~ empty(relation_dom(A)) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc6_relat_1,axiom,
% 3.66/3.79 ! [A] :
% 3.66/3.79 ( ( ~ empty(A)
% 3.66/3.79 & relation(A) )
% 3.66/3.79 => ~ empty(relation_rng(A)) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc7_relat_1,axiom,
% 3.66/3.79 ! [A] :
% 3.66/3.79 ( empty(A)
% 3.66/3.79 => ( empty(relation_dom(A))
% 3.66/3.79 & relation(relation_dom(A)) ) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc8_relat_1,axiom,
% 3.66/3.79 ! [A] :
% 3.66/3.79 ( empty(A)
% 3.66/3.79 => ( empty(relation_rng(A))
% 3.66/3.79 & relation(relation_rng(A)) ) ) ).
% 3.66/3.79
% 3.66/3.79 fof(fc9_relat_1,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( ( empty(A)
% 3.66/3.79 & relation(B) )
% 3.66/3.79 => ( empty(relation_composition(A,B))
% 3.66/3.79 & relation(relation_composition(A,B)) ) ) ).
% 3.66/3.79
% 3.66/3.79 fof(idempotence_k2_xboole_0,axiom,
% 3.66/3.79 ! [A,B] : set_union2(A,A) = A ).
% 3.66/3.79
% 3.66/3.79 fof(idempotence_k3_xboole_0,axiom,
% 3.66/3.79 ! [A,B] : set_intersection2(A,A) = A ).
% 3.66/3.79
% 3.66/3.79 fof(involutiveness_k3_subset_1,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( element(B,powerset(A))
% 3.66/3.79 => subset_complement(A,subset_complement(A,B)) = B ) ).
% 3.66/3.79
% 3.66/3.79 fof(involutiveness_k4_relat_1,axiom,
% 3.66/3.79 ! [A] :
% 3.66/3.79 ( relation(A)
% 3.66/3.79 => relation_inverse(relation_inverse(A)) = A ) ).
% 3.66/3.79
% 3.66/3.79 fof(involutiveness_k7_setfam_1,axiom,
% 3.66/3.79 ! [A,B] :
% 3.66/3.79 ( element(B,powerset(powerset(A)))
% 3.66/3.79 => complements_of_subsets(A,complements_of_subsets(A,B)) = B ) ).
% 3.66/3.79
% 3.66/3.79 fof(irreflexivity_r2_xboole_0,axiom,
% 3.66/3.79 ! [A,B] : ~ proper_subset(A,A) ).
% 3.66/3.79
% 3.66/3.79 fof(l1_wellord1,lemma,
% 3.66/3.79 ! [A] :
% 3.66/3.79 ( relation(A)
% 3.66/3.79 => ( reflexive(A)
% 3.66/3.79 <=> ! [B] :
% 3.66/3.79 ( in(B,relation_field(A))
% 3.66/3.79 => in(ordered_pair(B,B),A) ) ) ) ).
% 3.66/3.79
% 3.66/3.79 fof(l1_zfmisc_1,lemma,
% 3.66/3.79 ! [A] : singleton(A) != empty_set ).
% 3.66/3.79
% 3.66/3.79 fof(l23_zfmisc_1,lemma,
% 3.66/3.79 ! [A,B] :
% 3.75/3.79 ( in(A,B)
% 3.75/3.79 => set_union2(singleton(A),B) = B ) ).
% 3.75/3.79
% 3.75/3.79 fof(l25_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ~ ( disjoint(singleton(A),B)
% 3.75/3.79 & in(A,B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l28_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ~ in(A,B)
% 3.75/3.79 => disjoint(singleton(A),B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l29_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l2_wellord1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => ( transitive(A)
% 3.75/3.79 <=> ! [B,C,D] :
% 3.75/3.79 ( ( in(ordered_pair(B,C),A)
% 3.75/3.79 & in(ordered_pair(C,D),A) )
% 3.75/3.79 => in(ordered_pair(B,D),A) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l2_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( subset(singleton(A),B)
% 3.75/3.79 <=> in(A,B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l32_xboole_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( set_difference(A,B) = empty_set
% 3.75/3.79 <=> subset(A,B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l3_subset_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( element(B,powerset(A))
% 3.75/3.79 => ! [C] :
% 3.75/3.79 ( in(C,B)
% 3.75/3.79 => in(C,A) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l3_wellord1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => ( antisymmetric(A)
% 3.75/3.79 <=> ! [B,C] :
% 3.75/3.79 ( ( in(ordered_pair(B,C),A)
% 3.75/3.79 & in(ordered_pair(C,B),A) )
% 3.75/3.79 => B = C ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l3_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( subset(A,B)
% 3.75/3.79 => ( in(C,A)
% 3.75/3.79 | subset(A,set_difference(B,singleton(C))) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l4_wellord1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => ( connected(A)
% 3.75/3.79 <=> ! [B,C] :
% 3.75/3.79 ~ ( in(B,relation_field(A))
% 3.75/3.79 & in(C,relation_field(A))
% 3.75/3.79 & B != C
% 3.75/3.79 & ~ in(ordered_pair(B,C),A)
% 3.75/3.79 & ~ in(ordered_pair(C,B),A) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l4_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( subset(A,singleton(B))
% 3.75/3.79 <=> ( A = empty_set
% 3.75/3.79 | A = singleton(B) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l50_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( in(A,B)
% 3.75/3.79 => subset(A,union(B)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l55_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B,C,D] :
% 3.75/3.79 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 3.75/3.79 <=> ( in(A,C)
% 3.75/3.79 & in(B,D) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l71_subset_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ! [C] :
% 3.75/3.79 ( in(C,A)
% 3.75/3.79 => in(C,B) )
% 3.75/3.79 => element(A,powerset(B)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(l82_funct_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( ( relation(C)
% 3.75/3.79 & function(C) )
% 3.75/3.79 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 3.75/3.79 <=> ( in(B,relation_dom(C))
% 3.75/3.79 & in(B,A) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc1_funct_1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 & function(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc1_ordinal1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( epsilon_transitive(A)
% 3.75/3.79 & epsilon_connected(A)
% 3.75/3.79 & ordinal(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc1_relat_1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( empty(A)
% 3.75/3.79 & relation(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc1_subset_1,axiom,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( ~ empty(A)
% 3.75/3.79 => ? [B] :
% 3.75/3.79 ( element(B,powerset(A))
% 3.75/3.79 & ~ empty(B) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc1_xboole_0,axiom,
% 3.75/3.79 ? [A] : empty(A) ).
% 3.75/3.79
% 3.75/3.79 fof(rc2_funct_1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 & empty(A)
% 3.75/3.79 & function(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc2_ordinal1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 & function(A)
% 3.75/3.79 & one_to_one(A)
% 3.75/3.79 & empty(A)
% 3.75/3.79 & epsilon_transitive(A)
% 3.75/3.79 & epsilon_connected(A)
% 3.75/3.79 & ordinal(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc2_relat_1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( ~ empty(A)
% 3.75/3.79 & relation(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc2_subset_1,axiom,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ? [B] :
% 3.75/3.79 ( element(B,powerset(A))
% 3.75/3.79 & empty(B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc2_xboole_0,axiom,
% 3.75/3.79 ? [A] : ~ empty(A) ).
% 3.75/3.79
% 3.75/3.79 fof(rc3_funct_1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 & function(A)
% 3.75/3.79 & one_to_one(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc3_ordinal1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( ~ empty(A)
% 3.75/3.79 & epsilon_transitive(A)
% 3.75/3.79 & epsilon_connected(A)
% 3.75/3.79 & ordinal(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc3_relat_1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 & relation_empty_yielding(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(rc4_funct_1,axiom,
% 3.75/3.79 ? [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 & relation_empty_yielding(A)
% 3.75/3.79 & function(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(redefinition_k5_setfam_1,axiom,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( element(B,powerset(powerset(A)))
% 3.75/3.79 => union_of_subsets(A,B) = union(B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(redefinition_k6_setfam_1,axiom,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( element(B,powerset(powerset(A)))
% 3.75/3.79 => meet_of_subsets(A,B) = set_meet(B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(redefinition_k6_subset_1,axiom,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( ( element(B,powerset(A))
% 3.75/3.79 & element(C,powerset(A)) )
% 3.75/3.79 => subset_difference(A,B,C) = set_difference(B,C) ) ).
% 3.75/3.79
% 3.75/3.79 fof(redefinition_r1_ordinal1,axiom,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ( ordinal(A)
% 3.75/3.79 & ordinal(B) )
% 3.75/3.79 => ( ordinal_subset(A,B)
% 3.75/3.79 <=> subset(A,B) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(reflexivity_r1_ordinal1,axiom,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ( ordinal(A)
% 3.75/3.79 & ordinal(B) )
% 3.75/3.79 => ordinal_subset(A,A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(reflexivity_r1_tarski,axiom,
% 3.75/3.79 ! [A,B] : subset(A,A) ).
% 3.75/3.79
% 3.75/3.79 fof(symmetry_r1_xboole_0,axiom,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( disjoint(A,B)
% 3.75/3.79 => disjoint(B,A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t106_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B,C,D] :
% 3.75/3.79 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 3.75/3.79 <=> ( in(A,C)
% 3.75/3.79 & in(B,D) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t10_ordinal1,lemma,
% 3.75/3.79 ! [A] : in(A,succ(A)) ).
% 3.75/3.79
% 3.75/3.79 fof(t10_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B,C,D] :
% 3.75/3.79 ~ ( unordered_pair(A,B) = unordered_pair(C,D)
% 3.75/3.79 & A != C
% 3.75/3.79 & A != D ) ).
% 3.75/3.79
% 3.75/3.79 fof(t115_relat_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => ( in(A,relation_rng(relation_rng_restriction(B,C)))
% 3.75/3.79 <=> ( in(A,B)
% 3.75/3.79 & in(A,relation_rng(C)) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t116_relat_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => subset(relation_rng(relation_rng_restriction(A,B)),A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t117_relat_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => subset(relation_rng_restriction(A,B),B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t118_relat_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t118_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( subset(A,B)
% 3.75/3.79 => ( subset(cartesian_product2(A,C),cartesian_product2(B,C))
% 3.75/3.79 & subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t119_relat_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => relation_rng(relation_rng_restriction(A,B)) = set_intersection2(relation_rng(B),A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t119_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B,C,D] :
% 3.75/3.79 ( ( subset(A,B)
% 3.75/3.79 & subset(C,D) )
% 3.75/3.79 => subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t12_xboole_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( subset(A,B)
% 3.75/3.79 => set_union2(A,B) = B ) ).
% 3.75/3.79
% 3.75/3.79 fof(t136_zfmisc_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ? [B] :
% 3.75/3.79 ( in(A,B)
% 3.75/3.79 & ! [C,D] :
% 3.75/3.79 ( ( in(C,B)
% 3.75/3.79 & subset(D,C) )
% 3.75/3.79 => in(D,B) )
% 3.75/3.79 & ! [C] :
% 3.75/3.79 ( in(C,B)
% 3.75/3.79 => in(powerset(C),B) )
% 3.75/3.79 & ! [C] :
% 3.75/3.79 ~ ( subset(C,B)
% 3.75/3.79 & ~ are_equipotent(C,B)
% 3.75/3.79 & ~ in(C,B) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t140_relat_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t143_relat_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => ( in(A,relation_image(C,B))
% 3.75/3.79 <=> ? [D] :
% 3.75/3.79 ( in(D,relation_dom(C))
% 3.75/3.79 & in(ordered_pair(D,A),C)
% 3.75/3.79 & in(D,B) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t144_relat_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => subset(relation_image(B,A),relation_rng(B)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t145_funct_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ( relation(B)
% 3.75/3.79 & function(B) )
% 3.75/3.79 => subset(relation_image(B,relation_inverse_image(B,A)),A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t145_relat_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => relation_image(B,A) = relation_image(B,set_intersection2(relation_dom(B),A)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t146_funct_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( subset(A,relation_dom(B))
% 3.75/3.79 => subset(A,relation_inverse_image(B,relation_image(B,A))) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t146_relat_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => relation_image(A,relation_dom(A)) = relation_rng(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t147_funct_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ( relation(B)
% 3.75/3.79 & function(B) )
% 3.75/3.79 => ( subset(A,relation_rng(B))
% 3.75/3.79 => relation_image(B,relation_inverse_image(B,A)) = A ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t160_relat_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => ! [B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => relation_rng(relation_composition(A,B)) = relation_image(B,relation_rng(A)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t166_relat_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => ( in(A,relation_inverse_image(C,B))
% 3.75/3.79 <=> ? [D] :
% 3.75/3.79 ( in(D,relation_rng(C))
% 3.75/3.79 & in(ordered_pair(A,D),C)
% 3.75/3.79 & in(D,B) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t167_relat_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => subset(relation_inverse_image(B,A),relation_dom(B)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t16_wellord1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => ( in(A,relation_restriction(C,B))
% 3.75/3.79 <=> ( in(A,C)
% 3.75/3.79 & in(A,cartesian_product2(B,B)) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t174_relat_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ~ ( A != empty_set
% 3.75/3.79 & subset(A,relation_rng(B))
% 3.75/3.79 & relation_inverse_image(B,A) = empty_set ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t178_relat_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => ( subset(A,B)
% 3.75/3.79 => subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t17_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t17_xboole_1,lemma,
% 3.75/3.79 ! [A,B] : subset(set_intersection2(A,B),A) ).
% 3.75/3.79
% 3.75/3.79 fof(t18_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t19_wellord1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => ( in(A,relation_field(relation_restriction(C,B)))
% 3.75/3.79 => ( in(A,relation_field(C))
% 3.75/3.79 & in(A,B) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t19_xboole_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( ( subset(A,B)
% 3.75/3.79 & subset(A,C) )
% 3.75/3.79 => subset(A,set_intersection2(B,C)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t1_boole,axiom,
% 3.75/3.79 ! [A] : set_union2(A,empty_set) = A ).
% 3.75/3.79
% 3.75/3.79 fof(t1_subset,axiom,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( in(A,B)
% 3.75/3.79 => element(A,B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t1_xboole_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( ( subset(A,B)
% 3.75/3.79 & subset(B,C) )
% 3.75/3.79 => subset(A,C) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t1_zfmisc_1,lemma,
% 3.75/3.79 powerset(empty_set) = singleton(empty_set) ).
% 3.75/3.79
% 3.75/3.79 fof(t20_relat_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => ( in(ordered_pair(A,B),C)
% 3.75/3.79 => ( in(A,relation_dom(C))
% 3.75/3.79 & in(B,relation_rng(C)) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t20_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( subset(relation_field(relation_restriction(B,A)),relation_field(B))
% 3.75/3.79 & subset(relation_field(relation_restriction(B,A)),A) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t21_funct_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ( relation(B)
% 3.75/3.79 & function(B) )
% 3.75/3.79 => ! [C] :
% 3.75/3.79 ( ( relation(C)
% 3.75/3.79 & function(C) )
% 3.75/3.79 => ( in(A,relation_dom(relation_composition(C,B)))
% 3.75/3.79 <=> ( in(A,relation_dom(C))
% 3.75/3.79 & in(apply(C,A),relation_dom(B)) ) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t21_ordinal1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( epsilon_transitive(A)
% 3.75/3.79 => ! [B] :
% 3.75/3.79 ( ordinal(B)
% 3.75/3.79 => ( proper_subset(A,B)
% 3.75/3.79 => in(A,B) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t21_relat_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t21_wellord1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => subset(fiber(relation_restriction(C,A),B),fiber(C,B)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t22_funct_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ( relation(B)
% 3.75/3.79 & function(B) )
% 3.75/3.79 => ! [C] :
% 3.75/3.79 ( ( relation(C)
% 3.75/3.79 & function(C) )
% 3.75/3.79 => ( in(A,relation_dom(relation_composition(C,B)))
% 3.75/3.79 => apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t22_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( reflexive(B)
% 3.75/3.79 => reflexive(relation_restriction(B,A)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t23_funct_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ( relation(B)
% 3.75/3.79 & function(B) )
% 3.75/3.79 => ! [C] :
% 3.75/3.79 ( ( relation(C)
% 3.75/3.79 & function(C) )
% 3.75/3.79 => ( in(A,relation_dom(B))
% 3.75/3.79 => apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t23_ordinal1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ordinal(B)
% 3.75/3.79 => ( in(A,B)
% 3.75/3.79 => ordinal(A) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t23_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( connected(B)
% 3.75/3.79 => connected(relation_restriction(B,A)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t24_ordinal1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( ordinal(A)
% 3.75/3.79 => ! [B] :
% 3.75/3.79 ( ordinal(B)
% 3.75/3.79 => ~ ( ~ in(A,B)
% 3.75/3.79 & A != B
% 3.75/3.79 & ~ in(B,A) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t24_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( transitive(B)
% 3.75/3.79 => transitive(relation_restriction(B,A)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t25_relat_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => ! [B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( subset(A,B)
% 3.75/3.79 => ( subset(relation_dom(A),relation_dom(B))
% 3.75/3.79 & subset(relation_rng(A),relation_rng(B)) ) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t25_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( antisymmetric(B)
% 3.75/3.79 => antisymmetric(relation_restriction(B,A)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t26_xboole_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( subset(A,B)
% 3.75/3.79 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t28_xboole_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( subset(A,B)
% 3.75/3.79 => set_intersection2(A,B) = A ) ).
% 3.75/3.79
% 3.75/3.79 fof(t2_boole,axiom,
% 3.75/3.79 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 3.75/3.79
% 3.75/3.79 fof(t2_subset,axiom,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( element(A,B)
% 3.75/3.79 => ( empty(B)
% 3.75/3.79 | in(A,B) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t2_tarski,axiom,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ! [C] :
% 3.75/3.79 ( in(C,A)
% 3.75/3.79 <=> in(C,B) )
% 3.75/3.79 => A = B ) ).
% 3.75/3.79
% 3.75/3.79 fof(t2_xboole_1,lemma,
% 3.75/3.79 ! [A] : subset(empty_set,A) ).
% 3.75/3.79
% 3.75/3.79 fof(t30_relat_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( relation(C)
% 3.75/3.79 => ( in(ordered_pair(A,B),C)
% 3.75/3.79 => ( in(A,relation_field(C))
% 3.75/3.79 & in(B,relation_field(C)) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t31_ordinal1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( ! [B] :
% 3.75/3.79 ( in(B,A)
% 3.75/3.79 => ( ordinal(B)
% 3.75/3.79 & subset(B,A) ) )
% 3.75/3.79 => ordinal(A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t31_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( well_founded_relation(B)
% 3.75/3.79 => well_founded_relation(relation_restriction(B,A)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t32_ordinal1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ordinal(B)
% 3.75/3.79 => ~ ( subset(A,B)
% 3.75/3.79 & A != empty_set
% 3.75/3.79 & ! [C] :
% 3.75/3.79 ( ordinal(C)
% 3.75/3.79 => ~ ( in(C,A)
% 3.75/3.79 & ! [D] :
% 3.75/3.79 ( ordinal(D)
% 3.75/3.79 => ( in(D,A)
% 3.75/3.79 => ordinal_subset(C,D) ) ) ) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t32_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( well_ordering(B)
% 3.75/3.79 => well_ordering(relation_restriction(B,A)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t33_ordinal1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( ordinal(A)
% 3.75/3.79 => ! [B] :
% 3.75/3.79 ( ordinal(B)
% 3.75/3.79 => ( in(A,B)
% 3.75/3.79 <=> ordinal_subset(succ(A),B) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t33_xboole_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( subset(A,B)
% 3.75/3.79 => subset(set_difference(A,C),set_difference(B,C)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t33_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B,C,D] :
% 3.75/3.79 ( ordered_pair(A,B) = ordered_pair(C,D)
% 3.75/3.79 => ( A = C
% 3.75/3.79 & B = D ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t34_funct_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ( relation(B)
% 3.75/3.79 & function(B) )
% 3.75/3.79 => ( B = identity_relation(A)
% 3.75/3.79 <=> ( relation_dom(B) = A
% 3.75/3.79 & ! [C] :
% 3.75/3.79 ( in(C,A)
% 3.75/3.79 => apply(B,C) = C ) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t35_funct_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( in(B,A)
% 3.75/3.79 => apply(identity_relation(A),B) = B ) ).
% 3.75/3.79
% 3.75/3.79 fof(t36_xboole_1,lemma,
% 3.75/3.79 ! [A,B] : subset(set_difference(A,B),A) ).
% 3.75/3.79
% 3.75/3.79 fof(t37_relat_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => ( relation_rng(A) = relation_dom(relation_inverse(A))
% 3.75/3.79 & relation_dom(A) = relation_rng(relation_inverse(A)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t37_xboole_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( set_difference(A,B) = empty_set
% 3.75/3.79 <=> subset(A,B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t37_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( subset(singleton(A),B)
% 3.75/3.79 <=> in(A,B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t38_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ( subset(unordered_pair(A,B),C)
% 3.75/3.79 <=> ( in(A,C)
% 3.75/3.79 & in(B,C) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t39_wellord1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( ( well_ordering(B)
% 3.75/3.79 & subset(A,relation_field(B)) )
% 3.75/3.79 => relation_field(relation_restriction(B,A)) = A ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t39_xboole_1,lemma,
% 3.75/3.79 ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
% 3.75/3.79
% 3.75/3.79 fof(t39_zfmisc_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( subset(A,singleton(B))
% 3.75/3.79 <=> ( A = empty_set
% 3.75/3.79 | A = singleton(B) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t3_boole,axiom,
% 3.75/3.79 ! [A] : set_difference(A,empty_set) = A ).
% 3.75/3.79
% 3.75/3.79 fof(t3_ordinal1,lemma,
% 3.75/3.79 ! [A,B,C] :
% 3.75/3.79 ~ ( in(A,B)
% 3.75/3.79 & in(B,C)
% 3.75/3.79 & in(C,A) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t3_subset,axiom,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( element(A,powerset(B))
% 3.75/3.79 <=> subset(A,B) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t3_xboole_0,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( ~ ( ~ disjoint(A,B)
% 3.75/3.79 & ! [C] :
% 3.75/3.79 ~ ( in(C,A)
% 3.75/3.79 & in(C,B) ) )
% 3.75/3.79 & ~ ( ? [C] :
% 3.75/3.79 ( in(C,A)
% 3.75/3.79 & in(C,B) )
% 3.75/3.79 & disjoint(A,B) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t3_xboole_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( subset(A,empty_set)
% 3.75/3.79 => A = empty_set ) ).
% 3.75/3.79
% 3.75/3.79 fof(t40_xboole_1,lemma,
% 3.75/3.79 ! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
% 3.75/3.79
% 3.75/3.79 fof(t41_ordinal1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( ordinal(A)
% 3.75/3.79 => ( being_limit_ordinal(A)
% 3.75/3.79 <=> ! [B] :
% 3.75/3.79 ( ordinal(B)
% 3.75/3.79 => ( in(B,A)
% 3.75/3.79 => in(succ(B),A) ) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t42_ordinal1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( ordinal(A)
% 3.75/3.79 => ( ~ ( ~ being_limit_ordinal(A)
% 3.75/3.79 & ! [B] :
% 3.75/3.79 ( ordinal(B)
% 3.75/3.79 => A != succ(B) ) )
% 3.75/3.79 & ~ ( ? [B] :
% 3.75/3.79 ( ordinal(B)
% 3.75/3.79 & A = succ(B) )
% 3.75/3.79 & being_limit_ordinal(A) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t43_subset_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( element(B,powerset(A))
% 3.75/3.79 => ! [C] :
% 3.75/3.79 ( element(C,powerset(A))
% 3.75/3.79 => ( disjoint(B,C)
% 3.75/3.79 <=> subset(B,subset_complement(A,C)) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t44_relat_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => ! [B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => subset(relation_dom(relation_composition(A,B)),relation_dom(A)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t45_relat_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => ! [B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => subset(relation_rng(relation_composition(A,B)),relation_rng(B)) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t45_xboole_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.79 ( subset(A,B)
% 3.75/3.79 => B = set_union2(A,set_difference(B,A)) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t46_relat_1,lemma,
% 3.75/3.79 ! [A] :
% 3.75/3.79 ( relation(A)
% 3.75/3.79 => ! [B] :
% 3.75/3.79 ( relation(B)
% 3.75/3.79 => ( subset(relation_rng(A),relation_dom(B))
% 3.75/3.79 => relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) ) ).
% 3.75/3.79
% 3.75/3.79 fof(t46_setfam_1,lemma,
% 3.75/3.79 ! [A,B] :
% 3.75/3.80 ( element(B,powerset(powerset(A)))
% 3.75/3.80 => ~ ( B != empty_set
% 3.75/3.80 & complements_of_subsets(A,B) = empty_set ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t46_zfmisc_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( in(A,B)
% 3.75/3.80 => set_union2(singleton(A),B) = B ) ).
% 3.75/3.80
% 3.75/3.80 fof(t47_relat_1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation(A)
% 3.75/3.80 => ! [B] :
% 3.75/3.80 ( relation(B)
% 3.75/3.80 => ( subset(relation_dom(A),relation_rng(B))
% 3.75/3.80 => relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t47_setfam_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( element(B,powerset(powerset(A)))
% 3.75/3.80 => ( B != empty_set
% 3.75/3.80 => subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B)) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t48_setfam_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( element(B,powerset(powerset(A)))
% 3.75/3.80 => ( B != empty_set
% 3.75/3.80 => union_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t48_xboole_1,lemma,
% 3.75/3.80 ! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
% 3.75/3.80
% 3.75/3.80 fof(t49_wellord1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation(A)
% 3.75/3.80 => ! [B] :
% 3.75/3.80 ( relation(B)
% 3.75/3.80 => ! [C] :
% 3.75/3.80 ( ( relation(C)
% 3.75/3.80 & function(C) )
% 3.75/3.80 => ( relation_isomorphism(A,B,C)
% 3.75/3.80 => relation_isomorphism(B,A,function_inverse(C)) ) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t4_boole,axiom,
% 3.75/3.80 ! [A] : set_difference(empty_set,A) = empty_set ).
% 3.75/3.80
% 3.75/3.80 fof(t4_subset,axiom,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( ( in(A,B)
% 3.75/3.80 & element(B,powerset(C)) )
% 3.75/3.80 => element(A,C) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t4_xboole_0,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( ~ ( ~ disjoint(A,B)
% 3.75/3.80 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 3.75/3.80 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 3.75/3.80 & disjoint(A,B) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t50_subset_1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( A != empty_set
% 3.75/3.80 => ! [B] :
% 3.75/3.80 ( element(B,powerset(A))
% 3.75/3.80 => ! [C] :
% 3.75/3.80 ( element(C,A)
% 3.75/3.80 => ( ~ in(C,B)
% 3.75/3.80 => in(C,subset_complement(A,B)) ) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t53_wellord1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation(A)
% 3.75/3.80 => ! [B] :
% 3.75/3.80 ( relation(B)
% 3.75/3.80 => ! [C] :
% 3.75/3.80 ( ( relation(C)
% 3.75/3.80 & function(C) )
% 3.75/3.80 => ( relation_isomorphism(A,B,C)
% 3.75/3.80 => ( ( reflexive(A)
% 3.75/3.80 => reflexive(B) )
% 3.75/3.80 & ( transitive(A)
% 3.75/3.80 => transitive(B) )
% 3.75/3.80 & ( connected(A)
% 3.75/3.80 => connected(B) )
% 3.75/3.80 & ( antisymmetric(A)
% 3.75/3.80 => antisymmetric(B) )
% 3.75/3.80 & ( well_founded_relation(A)
% 3.75/3.80 => well_founded_relation(B) ) ) ) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t54_funct_1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( ( relation(A)
% 3.75/3.80 & function(A) )
% 3.75/3.80 => ( one_to_one(A)
% 3.75/3.80 => ! [B] :
% 3.75/3.80 ( ( relation(B)
% 3.75/3.80 & function(B) )
% 3.75/3.80 => ( B = function_inverse(A)
% 3.75/3.80 <=> ( relation_dom(B) = relation_rng(A)
% 3.75/3.80 & ! [C,D] :
% 3.75/3.80 ( ( ( in(C,relation_rng(A))
% 3.75/3.80 & D = apply(B,C) )
% 3.75/3.80 => ( in(D,relation_dom(A))
% 3.75/3.80 & C = apply(A,D) ) )
% 3.75/3.80 & ( ( in(D,relation_dom(A))
% 3.75/3.80 & C = apply(A,D) )
% 3.75/3.80 => ( in(C,relation_rng(A))
% 3.75/3.80 & D = apply(B,C) ) ) ) ) ) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t54_subset_1,lemma,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( element(C,powerset(A))
% 3.75/3.80 => ~ ( in(B,subset_complement(A,C))
% 3.75/3.80 & in(B,C) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t54_wellord1,conjecture,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation(A)
% 3.75/3.80 => ! [B] :
% 3.75/3.80 ( relation(B)
% 3.75/3.80 => ! [C] :
% 3.75/3.80 ( ( relation(C)
% 3.75/3.80 & function(C) )
% 3.75/3.80 => ( ( well_ordering(A)
% 3.75/3.80 & relation_isomorphism(A,B,C) )
% 3.75/3.80 => well_ordering(B) ) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t55_funct_1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( ( relation(A)
% 3.75/3.80 & function(A) )
% 3.75/3.80 => ( one_to_one(A)
% 3.75/3.80 => ( relation_rng(A) = relation_dom(function_inverse(A))
% 3.75/3.80 & relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t56_relat_1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation(A)
% 3.75/3.80 => ( ! [B,C] : ~ in(ordered_pair(B,C),A)
% 3.75/3.80 => A = empty_set ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t57_funct_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( ( relation(B)
% 3.75/3.80 & function(B) )
% 3.75/3.80 => ( ( one_to_one(B)
% 3.75/3.80 & in(A,relation_rng(B)) )
% 3.75/3.80 => ( A = apply(B,apply(function_inverse(B),A))
% 3.75/3.80 & A = apply(relation_composition(function_inverse(B),B),A) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t5_subset,axiom,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ~ ( in(A,B)
% 3.75/3.80 & element(B,powerset(C))
% 3.75/3.80 & empty(C) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t5_wellord1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation(A)
% 3.75/3.80 => ( well_founded_relation(A)
% 3.75/3.80 <=> is_well_founded_in(A,relation_field(A)) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t60_relat_1,lemma,
% 3.75/3.80 ( relation_dom(empty_set) = empty_set
% 3.75/3.80 & relation_rng(empty_set) = empty_set ) ).
% 3.75/3.80
% 3.75/3.80 fof(t60_xboole_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ~ ( subset(A,B)
% 3.75/3.80 & proper_subset(B,A) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t62_funct_1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( ( relation(A)
% 3.75/3.80 & function(A) )
% 3.75/3.80 => ( one_to_one(A)
% 3.75/3.80 => one_to_one(function_inverse(A)) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t63_xboole_1,lemma,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( ( subset(A,B)
% 3.75/3.80 & disjoint(B,C) )
% 3.75/3.80 => disjoint(A,C) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t64_relat_1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation(A)
% 3.75/3.80 => ( ( relation_dom(A) = empty_set
% 3.75/3.80 | relation_rng(A) = empty_set )
% 3.75/3.80 => A = empty_set ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t65_relat_1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation(A)
% 3.75/3.80 => ( relation_dom(A) = empty_set
% 3.75/3.80 <=> relation_rng(A) = empty_set ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t65_zfmisc_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( set_difference(A,singleton(B)) = A
% 3.75/3.80 <=> ~ in(B,A) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t68_funct_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( ( relation(B)
% 3.75/3.80 & function(B) )
% 3.75/3.80 => ! [C] :
% 3.75/3.80 ( ( relation(C)
% 3.75/3.80 & function(C) )
% 3.75/3.80 => ( B = relation_dom_restriction(C,A)
% 3.75/3.80 <=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)
% 3.75/3.80 & ! [D] :
% 3.75/3.80 ( in(D,relation_dom(B))
% 3.75/3.80 => apply(B,D) = apply(C,D) ) ) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t69_enumset1,lemma,
% 3.75/3.80 ! [A] : unordered_pair(A,A) = singleton(A) ).
% 3.75/3.80
% 3.75/3.80 fof(t6_boole,axiom,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( empty(A)
% 3.75/3.80 => A = empty_set ) ).
% 3.75/3.80
% 3.75/3.80 fof(t6_zfmisc_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( subset(singleton(A),singleton(B))
% 3.75/3.80 => A = B ) ).
% 3.75/3.80
% 3.75/3.80 fof(t70_funct_1,lemma,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( ( relation(C)
% 3.75/3.80 & function(C) )
% 3.75/3.80 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 3.75/3.80 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t71_relat_1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation_dom(identity_relation(A)) = A
% 3.75/3.80 & relation_rng(identity_relation(A)) = A ) ).
% 3.75/3.80
% 3.75/3.80 fof(t72_funct_1,lemma,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( ( relation(C)
% 3.75/3.80 & function(C) )
% 3.75/3.80 => ( in(B,A)
% 3.75/3.80 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t74_relat_1,lemma,
% 3.75/3.80 ! [A,B,C,D] :
% 3.75/3.80 ( relation(D)
% 3.75/3.80 => ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))
% 3.75/3.80 <=> ( in(A,C)
% 3.75/3.80 & in(ordered_pair(A,B),D) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t7_boole,axiom,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ~ ( in(A,B)
% 3.75/3.80 & empty(B) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t7_tarski,axiom,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ~ ( in(A,B)
% 3.75/3.80 & ! [C] :
% 3.75/3.80 ~ ( in(C,B)
% 3.75/3.80 & ! [D] :
% 3.75/3.80 ~ ( in(D,B)
% 3.75/3.80 & in(D,C) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t7_xboole_1,lemma,
% 3.75/3.80 ! [A,B] : subset(A,set_union2(A,B)) ).
% 3.75/3.80
% 3.75/3.80 fof(t83_xboole_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( disjoint(A,B)
% 3.75/3.80 <=> set_difference(A,B) = A ) ).
% 3.75/3.80
% 3.75/3.80 fof(t86_relat_1,lemma,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( relation(C)
% 3.75/3.80 => ( in(A,relation_dom(relation_dom_restriction(C,B)))
% 3.75/3.80 <=> ( in(A,B)
% 3.75/3.80 & in(A,relation_dom(C)) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t88_relat_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( relation(B)
% 3.75/3.80 => subset(relation_dom_restriction(B,A),B) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t8_boole,axiom,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ~ ( empty(A)
% 3.75/3.80 & A != B
% 3.75/3.80 & empty(B) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t8_funct_1,lemma,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( ( relation(C)
% 3.75/3.80 & function(C) )
% 3.75/3.80 => ( in(ordered_pair(A,B),C)
% 3.75/3.80 <=> ( in(A,relation_dom(C))
% 3.75/3.80 & B = apply(C,A) ) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t8_wellord1,lemma,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ( relation(A)
% 3.75/3.80 => ( well_orders(A,relation_field(A))
% 3.75/3.80 <=> well_ordering(A) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t8_xboole_1,lemma,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( ( subset(A,B)
% 3.75/3.80 & subset(C,B) )
% 3.75/3.80 => subset(set_union2(A,C),B) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t8_zfmisc_1,lemma,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( singleton(A) = unordered_pair(B,C)
% 3.75/3.80 => A = B ) ).
% 3.75/3.80
% 3.75/3.80 fof(t90_relat_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( relation(B)
% 3.75/3.80 => relation_dom(relation_dom_restriction(B,A)) = set_intersection2(relation_dom(B),A) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t92_zfmisc_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( in(A,B)
% 3.75/3.80 => subset(A,union(B)) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t94_relat_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( relation(B)
% 3.75/3.80 => relation_dom_restriction(B,A) = relation_composition(identity_relation(A),B) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t99_relat_1,lemma,
% 3.75/3.80 ! [A,B] :
% 3.75/3.80 ( relation(B)
% 3.75/3.80 => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t99_zfmisc_1,lemma,
% 3.75/3.80 ! [A] : union(powerset(A)) = A ).
% 3.75/3.80
% 3.75/3.80 fof(t9_tarski,axiom,
% 3.75/3.80 ! [A] :
% 3.75/3.80 ? [B] :
% 3.75/3.80 ( in(A,B)
% 3.75/3.80 & ! [C,D] :
% 3.75/3.80 ( ( in(C,B)
% 3.75/3.80 & subset(D,C) )
% 3.75/3.80 => in(D,B) )
% 3.75/3.80 & ! [C] :
% 3.75/3.80 ~ ( in(C,B)
% 3.75/3.80 & ! [D] :
% 3.75/3.80 ~ ( in(D,B)
% 3.75/3.80 & ! [E] :
% 3.75/3.80 ( subset(E,C)
% 3.75/3.80 => in(E,D) ) ) )
% 3.75/3.80 & ! [C] :
% 3.75/3.80 ~ ( subset(C,B)
% 3.75/3.80 & ~ are_equipotent(C,B)
% 3.75/3.80 & ~ in(C,B) ) ) ).
% 3.75/3.80
% 3.75/3.80 fof(t9_zfmisc_1,lemma,
% 3.75/3.80 ! [A,B,C] :
% 3.75/3.80 ( singleton(A) = unordered_pair(B,C)
% 3.75/3.80 => B = C ) ).
% 3.75/3.80
% 3.75/3.80 %------------------------------------------------------------------------------
% 3.75/3.80 %-------------------------------------------
% 3.75/3.80 % Proof found
% 3.75/3.80 % SZS status Theorem for theBenchmark
% 3.75/3.80 % SZS output start Proof
% 3.75/3.80 %ClaNum:1011(EqnAxiom:343)
% 3.75/3.80 %VarNum:4803(SingletonVarNum:1358)
% 3.75/3.80 %MaxLitNum:12
% 3.75/3.80 %MaxfuncDepth:4
% 3.75/3.80 %SharedTerms:71
% 3.75/3.80 %goalClause: 360 384 385 386 390 420 429
% 3.75/3.80 %singleGoalClaCount:7
% 3.75/3.80 [349]P1(a1)
% 3.75/3.80 [350]P1(a6)
% 3.75/3.80 [351]P1(a125)
% 3.75/3.80 [352]P1(a127)
% 3.75/3.80 [353]P1(a128)
% 3.75/3.80 [354]P8(a1)
% 3.75/3.80 [355]P8(a7)
% 3.75/3.80 [356]P8(a127)
% 3.75/3.80 [357]P8(a128)
% 3.75/3.80 [358]P8(a8)
% 3.75/3.80 [359]P8(a9)
% 3.75/3.80 [360]P8(a12)
% 3.75/3.80 [361]P12(a1)
% 3.75/3.80 [362]P12(a124)
% 3.75/3.80 [363]P12(a128)
% 3.75/3.80 [364]P12(a10)
% 3.75/3.80 [365]P9(a1)
% 3.75/3.80 [366]P9(a124)
% 3.75/3.80 [367]P9(a128)
% 3.75/3.80 [368]P9(a10)
% 3.75/3.80 [369]P10(a1)
% 3.75/3.80 [370]P10(a124)
% 3.75/3.80 [371]P10(a128)
% 3.75/3.80 [372]P10(a10)
% 3.75/3.80 [375]P20(a1)
% 3.75/3.80 [376]P20(a7)
% 3.75/3.80 [377]P20(a6)
% 3.75/3.80 [378]P20(a127)
% 3.75/3.80 [379]P20(a128)
% 3.75/3.80 [380]P20(a129)
% 3.75/3.80 [381]P20(a8)
% 3.75/3.80 [382]P20(a11)
% 3.75/3.80 [383]P20(a9)
% 3.75/3.80 [384]P20(a13)
% 3.75/3.80 [385]P20(a30)
% 3.75/3.80 [386]P20(a12)
% 3.75/3.80 [387]P13(a1)
% 3.75/3.80 [388]P13(a128)
% 3.75/3.80 [389]P13(a8)
% 3.75/3.80 [390]P24(a13)
% 3.75/3.80 [392]P25(a1)
% 3.75/3.80 [393]P25(a11)
% 3.75/3.80 [394]P25(a9)
% 3.75/3.80 [420]P27(a13,a30,a12)
% 3.75/3.80 [426]~P1(a129)
% 3.75/3.80 [427]~P1(a132)
% 3.75/3.80 [428]~P1(a10)
% 3.75/3.80 [429]~P24(a30)
% 3.75/3.80 [344]E(f5(a1),a1)
% 3.75/3.80 [345]E(f139(a1),a1)
% 3.75/3.80 [406]E(f153(a1,a1),f136(a1))
% 3.75/3.80 [403]P26(a1,x4031)
% 3.75/3.80 [407]P26(x4071,x4071)
% 3.75/3.80 [432]~P21(x4321,x4321)
% 3.75/3.80 [395]P1(f130(x3951))
% 3.75/3.80 [396]P8(f131(x3961))
% 3.75/3.80 [398]P20(f131(x3981))
% 3.75/3.80 [402]E(f147(a1,x4021),a1)
% 3.75/3.80 [404]E(f149(x4041,a1),x4041)
% 3.75/3.80 [405]E(f147(x4051,a1),x4051)
% 3.75/3.80 [408]E(f149(x4081,x4081),x4081)
% 3.75/3.80 [409]P14(x4091,f14(x4091))
% 3.75/3.80 [410]P14(x4101,f32(x4101))
% 3.75/3.80 [411]P2(x4111,f136(x4111))
% 3.75/3.80 [412]P2(f37(x4121),x4121)
% 3.75/3.80 [413]P2(f130(x4131),f136(x4131))
% 3.75/3.80 [430]~P1(f136(x4301))
% 3.75/3.80 [431]~E(f153(x4311,x4311),a1)
% 3.75/3.80 [399]E(f5(f131(x3991)),x3991)
% 3.75/3.80 [400]E(f146(f136(x4001)),x4001)
% 3.75/3.80 [401]E(f139(f131(x4011)),x4011)
% 3.75/3.80 [416]E(f147(x4161,f147(x4161,a1)),a1)
% 3.75/3.80 [419]E(f147(x4191,f147(x4191,x4191)),x4191)
% 3.75/3.80 [424]P14(x4241,f149(x4241,f153(x4241,x4241)))
% 3.75/3.80 [435]~P1(f149(x4351,f153(x4351,x4351)))
% 3.75/3.80 [414]E(f153(x4141,x4142),f153(x4142,x4141))
% 3.75/3.80 [415]E(f149(x4151,x4152),f149(x4152,x4151))
% 3.75/3.80 [417]P26(x4171,f149(x4171,x4172))
% 3.75/3.80 [418]P26(f147(x4181,x4182),x4181)
% 3.75/3.80 [433]~P1(f153(x4331,x4332))
% 3.75/3.80 [421]E(f149(x4211,f147(x4212,x4211)),f149(x4211,x4212))
% 3.75/3.80 [422]E(f147(f149(x4221,x4222),x4222),f147(x4221,x4222))
% 3.75/3.80 [423]E(f147(x4231,f147(x4231,x4232)),f147(x4232,f147(x4232,x4231)))
% 3.75/3.80 [437]~P1(x4371)+E(x4371,a1)
% 3.75/3.80 [439]~P1(x4391)+P8(x4391)
% 3.75/3.80 [440]~P1(x4401)+P12(x4401)
% 3.75/3.80 [441]~P1(x4411)+P9(x4411)
% 3.75/3.80 [443]~P12(x4431)+P9(x4431)
% 3.75/3.80 [444]~P1(x4441)+P10(x4441)
% 3.75/3.80 [446]~P12(x4461)+P10(x4461)
% 3.75/3.80 [447]~P1(x4471)+P20(x4471)
% 3.75/3.80 [481]~P26(x4811,a1)+E(x4811,a1)
% 3.75/3.80 [449]~P3(x4491)+E(f146(x4491),x4491)
% 3.75/3.80 [450]P3(x4501)+~E(f146(x4501),x4501)
% 3.75/3.80 [454]P10(x4541)+~E(f38(x4541),f39(x4541))
% 3.75/3.80 [455]~P1(x4551)+P1(f5(x4551))
% 3.75/3.80 [456]~P1(x4561)+P1(f139(x4561))
% 3.75/3.80 [457]~P1(x4571)+P1(f140(x4571))
% 3.75/3.80 [458]~P12(x4581)+P12(f146(x4581))
% 3.75/3.80 [459]~P12(x4591)+P9(f146(x4591))
% 3.75/3.80 [460]~P12(x4601)+P10(f146(x4601))
% 3.75/3.80 [461]~P1(x4611)+P20(f5(x4611))
% 3.75/3.80 [462]~P1(x4621)+P20(f139(x4621))
% 3.75/3.80 [463]~P1(x4631)+P20(f140(x4631))
% 3.75/3.80 [464]~P20(x4641)+P20(f140(x4641))
% 3.75/3.80 [478]P1(x4781)+~P1(f126(x4781))
% 3.75/3.80 [482]P14(f41(x4821),x4821)+E(x4821,a1)
% 3.75/3.80 [489]P12(x4891)+P14(f16(x4891),x4891)
% 3.75/3.80 [490]P9(x4901)+P14(f59(x4901),x4901)
% 3.75/3.80 [491]P10(x4911)+P14(f39(x4911),x4911)
% 3.75/3.80 [492]P10(x4921)+P14(f38(x4921),x4921)
% 3.75/3.80 [493]P20(x4931)+P14(f42(x4931),x4931)
% 3.75/3.80 [504]P1(x5041)+P2(f126(x5041),f136(x5041))
% 3.75/3.80 [526]P9(x5261)+~P26(f59(x5261),x5261)
% 3.75/3.80 [600]P10(x6001)+~P14(f39(x6001),f38(x6001))
% 3.75/3.80 [601]P10(x6011)+~P14(f38(x6011),f39(x6011))
% 3.75/3.80 [467]~P20(x4671)+E(f140(f140(x4671)),x4671)
% 3.75/3.80 [479]~P20(x4791)+E(f139(f140(x4791)),f5(x4791))
% 3.75/3.80 [480]~P20(x4801)+E(f5(f140(x4801)),f139(x4801))
% 3.75/3.80 [505]~P20(x5051)+E(f141(x5051,f5(x5051)),f139(x5051))
% 3.75/3.80 [537]~P20(x5371)+E(f149(f5(x5371),f139(x5371)),f142(x5371))
% 3.75/3.80 [684]~P20(x6841)+P26(x6841,f3(f5(x6841),f139(x6841)))
% 3.75/3.80 [729]~P12(x7291)+P12(f149(x7291,f153(x7291,x7291)))
% 3.75/3.80 [730]~P12(x7301)+P9(f149(x7301,f153(x7301,x7301)))
% 3.75/3.80 [731]~P12(x7311)+P10(f149(x7311,f153(x7311,x7311)))
% 3.75/3.80 [466]~E(x4661,x4662)+P26(x4661,x4662)
% 3.75/3.80 [494]~P14(x4942,x4941)+~E(x4941,a1)
% 3.75/3.80 [496]~P21(x4961,x4962)+~E(x4961,x4962)
% 3.75/3.80 [503]~P1(x5031)+~P14(x5032,x5031)
% 3.75/3.80 [531]~P21(x5311,x5312)+P26(x5311,x5312)
% 3.75/3.80 [532]~P14(x5321,x5322)+P2(x5321,x5322)
% 3.75/3.80 [533]~P7(x5332,x5331)+P7(x5331,x5332)
% 3.75/3.80 [592]~P14(x5922,x5921)+~P14(x5921,x5922)
% 3.75/3.80 [593]~P21(x5932,x5931)+~P21(x5931,x5932)
% 3.75/3.80 [594]~P26(x5942,x5941)+~P21(x5941,x5942)
% 3.75/3.80 [528]~P26(x5281,x5282)+E(f147(x5281,x5282),a1)
% 3.75/3.80 [530]P26(x5301,x5302)+~E(f147(x5301,x5302),a1)
% 3.75/3.80 [534]~P20(x5341)+P20(f143(x5341,x5342))
% 3.75/3.80 [535]~P20(x5352)+P20(f148(x5351,x5352))
% 3.75/3.80 [536]~P20(x5361)+P20(f144(x5361,x5362))
% 3.75/3.80 [538]~P26(x5381,x5382)+E(f149(x5381,x5382),x5382)
% 3.75/3.80 [539]~P7(x5391,x5392)+E(f147(x5391,x5392),x5391)
% 3.75/3.80 [540]P7(x5401,x5402)+~E(f147(x5401,x5402),x5401)
% 3.75/3.80 [554]~E(x5541,a1)+P26(x5541,f153(x5542,x5542))
% 3.75/3.80 [556]~P14(x5561,x5562)+P26(x5561,f146(x5562))
% 3.75/3.80 [557]~P26(x5571,x5572)+P2(x5571,f136(x5572))
% 3.75/3.80 [604]P26(x6041,x6042)+~P2(x6041,f136(x6042))
% 3.75/3.80 [605]~P20(x6051)+P26(f143(x6051,x6052),x6051)
% 3.75/3.80 [606]~P20(x6062)+P26(f148(x6061,x6062),x6062)
% 3.75/3.80 [615]P1(x6151)+~P1(f149(x6152,x6151))
% 3.75/3.80 [616]P1(x6161)+~P1(f149(x6161,x6162))
% 3.75/3.80 [619]~P20(x6191)+P26(f141(x6191,x6192),f139(x6191))
% 3.75/3.80 [620]~P20(x6201)+P26(f145(x6201,x6202),f5(x6201))
% 3.75/3.80 [622]P14(x6221,x6222)+P7(f153(x6221,x6221),x6222)
% 3.75/3.80 [623]P26(x6231,x6232)+P14(f75(x6231,x6232),x6231)
% 3.75/3.80 [624]P7(x6241,x6242)+P14(f20(x6241,x6242),x6242)
% 3.75/3.80 [625]P7(x6251,x6252)+P14(f20(x6251,x6252),x6251)
% 3.75/3.80 [629]P14(f136(x6291),f14(x6292))+~P14(x6291,f14(x6292))
% 3.75/3.80 [637]~P2(x6372,f136(x6371))+E(f151(x6371,x6372),f147(x6371,x6372))
% 3.75/3.80 [639]P14(f122(x6391,x6392),x6391)+P2(x6391,f136(x6392))
% 3.75/3.80 [657]~P14(x6571,x6572)+P14(f33(x6571,x6572),x6572)
% 3.75/3.80 [659]~P14(x6591,x6592)+P26(f153(x6591,x6591),x6592)
% 3.75/3.80 [698]P26(x6981,x6982)+~P14(f75(x6981,x6982),x6982)
% 3.75/3.80 [700]~P14(x7002,f32(x7001))+P14(f43(x7001,x7002),f32(x7001))
% 3.75/3.80 [701]~P2(x7012,f136(x7011))+P2(f151(x7011,x7012),f136(x7011))
% 3.75/3.80 [710]~P14(f122(x7101,x7102),x7102)+P2(x7101,f136(x7102))
% 3.75/3.80 [720]~P14(x7201,x7202)+~P7(f153(x7201,x7201),x7202)
% 3.75/3.80 [754]E(x7541,x7542)+~P26(f153(x7541,x7541),f153(x7542,x7542))
% 3.75/3.80 [546]~P20(x5462)+E(f138(f131(x5461),x5462),f143(x5462,x5461))
% 3.75/3.80 [559]~P14(x5592,x5591)+E(f2(f131(x5591),x5592),x5592)
% 3.75/3.80 [626]P14(x6262,x6261)+E(f147(x6261,f153(x6262,x6262)),x6261)
% 3.75/3.80 [643]~P20(x6432)+E(f148(x6431,f143(x6432,x6431)),f144(x6432,x6431))
% 3.75/3.80 [644]~P20(x6442)+E(f143(f148(x6441,x6442),x6441),f144(x6442,x6441))
% 3.75/3.80 [656]~P7(x6561,x6562)+E(f147(x6561,f147(x6561,x6562)),a1)
% 3.75/3.80 [663]~P26(x6631,x6632)+E(f149(x6631,f147(x6632,x6631)),x6632)
% 3.75/3.80 [664]~P26(x6641,x6642)+E(f147(x6641,f147(x6641,x6642)),x6641)
% 3.75/3.80 [666]~P14(x6661,x6662)+E(f149(f153(x6661,x6661),x6662),x6662)
% 3.75/3.80 [679]E(f154(x6791,x6792),f146(x6792))+~P2(x6792,f136(f136(x6791)))
% 3.75/3.80 [680]E(f137(x6801,x6802),f150(x6802))+~P2(x6802,f136(f136(x6801)))
% 3.75/3.80 [685]~P2(x6852,f136(x6851))+E(f151(x6851,f151(x6851,x6852)),x6852)
% 3.75/3.80 [693]P7(x6931,x6932)+~E(f147(x6931,f147(x6931,x6932)),a1)
% 3.75/3.80 [702]~P20(x7021)+P26(f142(f144(x7021,x7022)),x7022)
% 3.75/3.80 [703]~P20(x7032)+P26(f139(f148(x7031,x7032)),x7031)
% 3.75/3.80 [712]~P20(x7122)+P26(f5(f148(x7121,x7122)),f5(x7122))
% 3.75/3.80 [713]~P20(x7131)+P26(f142(f144(x7131,x7132)),f142(x7131))
% 3.75/3.80 [714]~P20(x7141)+P26(f139(f143(x7141,x7142)),f139(x7141))
% 3.75/3.80 [715]~P20(x7152)+P26(f139(f148(x7151,x7152)),f139(x7152))
% 3.75/3.80 [723]~P14(x7232,x7231)+~E(f147(x7231,f153(x7232,x7232)),x7231)
% 3.75/3.80 [735]~P2(x7352,f136(f136(x7351)))+E(f4(x7351,f4(x7351,x7352)),x7352)
% 3.75/3.80 [744]P2(f154(x7441,x7442),f136(x7441))+~P2(x7442,f136(f136(x7441)))
% 3.75/3.80 [745]P2(f137(x7451,x7452),f136(x7451))+~P2(x7452,f136(f136(x7451)))
% 3.75/3.80 [760]~P2(x7602,f136(f136(x7601)))+P2(f4(x7601,x7602),f136(f136(x7601)))
% 3.75/3.80 [793]P7(x7931,x7932)+P14(f25(x7931,x7932),f147(x7931,f147(x7931,x7932)))
% 3.75/3.80 [740]~P20(x7401)+E(f147(f5(x7401),f147(f5(x7401),x7402)),f5(f143(x7401,x7402)))
% 3.75/3.80 [741]~P20(x7411)+E(f147(f139(x7411),f147(f139(x7411),x7412)),f139(f148(x7412,x7411)))
% 3.75/3.80 [767]~P20(x7671)+E(f147(x7671,f147(x7671,f3(x7672,x7672))),f144(x7671,x7672))
% 3.75/3.80 [818]~P20(x8181)+E(f141(x8181,f147(f5(x8181),f147(f5(x8181),x8182))),f141(x8181,x8182))
% 3.75/3.80 [602]E(x6021,x6022)+~E(f153(x6023,x6023),f153(x6021,x6022))
% 3.75/3.80 [603]E(x6031,x6032)+~E(f153(x6031,x6031),f153(x6032,x6033))
% 3.75/3.80 [694]P14(x6941,x6942)+~P26(f153(x6943,x6941),x6942)
% 3.75/3.80 [695]P14(x6951,x6952)+~P26(f153(x6951,x6953),x6952)
% 3.75/3.80 [726]~P26(x7261,x7263)+P26(f3(x7261,x7262),f3(x7263,x7262))
% 3.75/3.80 [727]~P26(x7272,x7273)+P26(f3(x7271,x7272),f3(x7271,x7273))
% 3.75/3.80 [728]~P26(x7281,x7283)+P26(f147(x7281,x7282),f147(x7283,x7282))
% 3.75/3.80 [722]~P20(x7222)+E(f148(x7221,f143(x7222,x7223)),f143(f148(x7221,x7222),x7223))
% 3.75/3.80 [771]P20(x7711)+~E(f42(x7711),f153(f153(x7712,x7713),f153(x7712,x7712)))
% 3.75/3.80 [784]~P20(x7841)+P26(f134(f144(x7841,x7842),x7843),f134(x7841,x7843))
% 3.75/3.80 [828]~P7(x8281,x8282)+~P14(x8283,f147(x8281,f147(x8281,x8282)))
% 3.75/3.80 [845]~P26(x8451,x8453)+P26(f147(x8451,f147(x8451,x8452)),f147(x8453,f147(x8453,x8452)))
% 3.75/3.80 [851]E(x8511,x8512)+~E(f153(f153(x8513,x8511),f153(x8513,x8513)),f153(f153(x8514,x8512),f153(x8514,x8514)))
% 3.75/3.80 [852]E(x8521,x8522)+~E(f153(f153(x8521,x8523),f153(x8521,x8521)),f153(f153(x8522,x8524),f153(x8522,x8522)))
% 3.75/3.80 [897]P14(x8971,x8972)+~P14(f153(f153(x8973,x8971),f153(x8973,x8973)),f3(x8974,x8972))
% 3.75/3.80 [899]P14(x8991,x8992)+~P14(f153(f153(x8991,x8993),f153(x8991,x8991)),f3(x8992,x8994))
% 3.75/3.80 [472]~P9(x4721)+~P10(x4721)+P12(x4721)
% 3.75/3.80 [473]~P20(x4731)+~P24(x4731)+P4(x4731)
% 3.75/3.80 [474]~P20(x4741)+~P24(x4741)+P6(x4741)
% 3.75/3.80 [475]~P20(x4751)+~P24(x4751)+P29(x4751)
% 3.75/3.80 [476]~P20(x4761)+~P24(x4761)+P28(x4761)
% 3.75/3.80 [477]~P20(x4771)+~P24(x4771)+P23(x4771)
% 3.75/3.80 [451]~P20(x4511)+E(x4511,a1)+~E(f5(x4511),a1)
% 3.75/3.80 [452]~P20(x4521)+E(x4521,a1)+~E(f139(x4521),a1)
% 3.75/3.80 [468]~P20(x4681)+~E(f139(x4681),a1)+E(f5(x4681),a1)
% 3.75/3.80 [469]~P20(x4691)+~E(f5(x4691),a1)+E(f139(x4691),a1)
% 3.75/3.80 [470]~P20(x4701)+P28(x4701)+~E(f40(x4701),a1)
% 3.75/3.80 [483]~P12(x4831)+P3(x4831)+P12(f15(x4831))
% 3.75/3.80 [484]~P12(x4841)+P3(x4841)+P12(f24(x4841))
% 3.75/3.80 [485]~P20(x4851)+P4(x4851)+~E(f114(x4851),f115(x4851))
% 3.75/3.80 [486]~P20(x4861)+P6(x4861)+~E(f120(x4861),f121(x4861))
% 3.75/3.80 [487]~P8(x4871)+~P20(x4871)+P8(f133(x4871))
% 3.75/3.80 [488]~P8(x4881)+~P20(x4881)+P20(f133(x4881))
% 3.75/3.80 [498]~P20(x4981)+P1(x4981)+~P1(f5(x4981))
% 3.75/3.80 [499]~P20(x4991)+P1(x4991)+~P1(f139(x4991))
% 3.75/3.80 [510]~P12(x5101)+P3(x5101)+P14(f15(x5101),x5101)
% 3.75/3.80 [518]~P20(x5181)+~P4(x5181)+P15(x5181,f142(x5181))
% 3.75/3.80 [519]~P20(x5191)+~P6(x5191)+P16(x5191,f142(x5191))
% 3.75/3.80 [520]~P20(x5201)+~P29(x5201)+P17(x5201,f142(x5201))
% 3.75/3.80 [521]~P20(x5211)+~P23(x5211)+P18(x5211,f142(x5211))
% 3.75/3.80 [522]~P20(x5221)+~P28(x5221)+P19(x5221,f142(x5221))
% 3.75/3.80 [523]~P20(x5231)+~P24(x5231)+P30(x5231,f142(x5231))
% 3.75/3.80 [541]~P20(x5411)+P6(x5411)+P14(f121(x5411),f142(x5411))
% 3.75/3.80 [542]~P20(x5421)+P6(x5421)+P14(f120(x5421),f142(x5421))
% 3.75/3.80 [543]~P20(x5431)+P28(x5431)+P26(f40(x5431),f142(x5431))
% 3.75/3.80 [544]~P20(x5441)+P23(x5441)+P14(f116(x5441),f142(x5441))
% 3.75/3.80 [560]~P20(x5601)+P4(x5601)+~P15(x5601,f142(x5601))
% 3.75/3.80 [561]~P20(x5611)+P6(x5611)+~P16(x5611,f142(x5611))
% 3.75/3.80 [562]~P20(x5621)+P29(x5621)+~P17(x5621,f142(x5621))
% 3.75/3.80 [563]~P20(x5631)+P28(x5631)+~P19(x5631,f142(x5631))
% 3.75/3.80 [564]~P20(x5641)+P24(x5641)+~P30(x5641,f142(x5641))
% 3.75/3.80 [565]~P20(x5651)+P23(x5651)+~P18(x5651,f142(x5651))
% 3.75/3.80 [621]P12(x6211)+~P26(f16(x6211),x6211)+~P12(f16(x6211))
% 3.75/3.80 [708]P3(x7081)+~P12(x7081)+E(f149(f24(x7081),f153(f24(x7081),f24(x7081))),x7081)
% 3.75/3.80 [865]~P20(x8651)+E(x8651,a1)+P14(f153(f153(f34(x8651),f35(x8651)),f153(f34(x8651),f34(x8651))),x8651)
% 3.75/3.80 [866]~P12(x8661)+P3(x8661)+~P14(f149(f15(x8661),f153(f15(x8661),f15(x8661))),x8661)
% 3.75/3.80 [867]~P20(x8671)+P4(x8671)+P14(f153(f153(f115(x8671),f114(x8671)),f153(f115(x8671),f115(x8671))),x8671)
% 3.75/3.80 [868]~P20(x8681)+P4(x8681)+P14(f153(f153(f114(x8681),f115(x8681)),f153(f114(x8681),f114(x8681))),x8681)
% 3.75/3.80 [869]~P20(x8691)+P29(x8691)+P14(f153(f153(f117(x8691),f118(x8691)),f153(f117(x8691),f117(x8691))),x8691)
% 3.75/3.80 [870]~P20(x8701)+P29(x8701)+P14(f153(f153(f118(x8701),f119(x8701)),f153(f118(x8701),f118(x8701))),x8701)
% 3.75/3.80 [921]~P20(x9211)+P6(x9211)+~P14(f153(f153(f121(x9211),f120(x9211)),f153(f121(x9211),f121(x9211))),x9211)
% 3.75/3.80 [922]~P20(x9221)+P6(x9221)+~P14(f153(f153(f120(x9221),f121(x9221)),f153(f120(x9221),f120(x9221))),x9221)
% 3.75/3.80 [923]~P20(x9231)+P29(x9231)+~P14(f153(f153(f117(x9231),f119(x9231)),f153(f117(x9231),f117(x9231))),x9231)
% 3.75/3.80 [924]~P20(x9241)+P23(x9241)+~P14(f153(f153(f116(x9241),f116(x9241)),f153(f116(x9241),f116(x9241))),x9241)
% 3.75/3.80 [453]~P1(x4532)+~P1(x4531)+E(x4531,x4532)
% 3.75/3.80 [500]~P12(x5001)+P22(x5001,x5001)+~P12(x5002)
% 3.75/3.80 [501]~P1(x5012)+~P1(x5011)+P2(x5011,x5012)
% 3.75/3.80 [511]~P2(x5111,x5112)+P1(x5111)+~P1(x5112)
% 3.75/3.80 [512]~P14(x5121,x5122)+P12(x5121)+~P12(x5122)
% 3.75/3.80 [513]~P11(x5131,x5132)+P4(x5131)+~P4(x5132)
% 3.75/3.80 [514]~P11(x5141,x5142)+P6(x5141)+~P6(x5142)
% 3.75/3.80 [515]~P11(x5151,x5152)+P29(x5151)+~P29(x5152)
% 3.75/3.80 [516]~P11(x5161,x5162)+P28(x5161)+~P28(x5162)
% 3.75/3.80 [517]~P11(x5171,x5172)+P23(x5171)+~P23(x5172)
% 3.75/3.80 [545]P21(x5451,x5452)+~P26(x5451,x5452)+E(x5451,x5452)
% 3.75/3.80 [548]~P2(x5482,x5481)+P1(x5481)+P14(x5482,x5481)
% 3.75/3.80 [567]~P9(x5672)+~P14(x5671,x5672)+P26(x5671,x5672)
% 3.75/3.80 [568]~P20(x5681)+~P30(x5681,x5682)+P15(x5681,x5682)
% 3.75/3.80 [569]~P20(x5691)+~P30(x5691,x5692)+P16(x5691,x5692)
% 3.75/3.80 [570]~P20(x5701)+~P30(x5701,x5702)+P17(x5701,x5702)
% 3.75/3.80 [571]~P20(x5711)+~P30(x5711,x5712)+P18(x5711,x5712)
% 3.75/3.80 [572]~P20(x5721)+~P30(x5721,x5722)+P19(x5721,x5722)
% 3.75/3.80 [608]~P26(x6082,x6081)+~P26(x6081,x6082)+E(x6081,x6082)
% 3.75/3.80 [438]~E(x4382,a1)+~E(x4381,a1)+E(x4381,f150(x4382))
% 3.75/3.80 [448]~E(x4481,f150(x4482))+E(x4481,a1)+~E(x4482,a1)
% 3.75/3.80 [566]~P20(x5661)+P19(x5661,x5662)+~E(f74(x5661,x5662),a1)
% 3.75/3.80 [573]~P1(x5732)+~P20(x5731)+P1(f138(x5731,x5732))
% 3.75/3.80 [574]~P1(x5741)+~P20(x5742)+P1(f138(x5741,x5742))
% 3.75/3.80 [575]~P8(x5751)+~P20(x5751)+P8(f143(x5751,x5752))
% 3.75/3.80 [576]~P8(x5762)+~P20(x5762)+P8(f148(x5761,x5762))
% 3.75/3.80 [577]~P20(x5772)+~P20(x5771)+P20(f149(x5771,x5772))
% 3.75/3.80 [581]~P20(x5812)+~P20(x5811)+P20(f147(x5811,x5812))
% 3.75/3.80 [582]~P1(x5822)+~P20(x5821)+P20(f138(x5821,x5822))
% 3.75/3.80 [583]~P1(x5831)+~P20(x5832)+P20(f138(x5831,x5832))
% 3.75/3.80 [584]~P20(x5842)+~P20(x5841)+P20(f138(x5841,x5842))
% 3.75/3.80 [585]~P20(x5851)+~P4(x5851)+P4(f144(x5851,x5852))
% 3.75/3.80 [586]~P20(x5861)+~P6(x5861)+P6(f144(x5861,x5862))
% 3.75/3.80 [587]~P20(x5871)+~P29(x5871)+P29(f144(x5871,x5872))
% 3.75/3.80 [588]~P20(x5881)+~P28(x5881)+P28(f144(x5881,x5882))
% 3.75/3.80 [589]~P20(x5891)+~P24(x5891)+P24(f144(x5891,x5892))
% 3.75/3.80 [590]~P20(x5901)+~P23(x5901)+P23(f144(x5901,x5902))
% 3.75/3.80 [591]~P20(x5911)+~P25(x5911)+P25(f143(x5911,x5912))
% 3.75/3.80 [627]P1(x6271)+P1(x6272)+~P1(f3(x6272,x6271))
% 3.75/3.80 [646]~P20(x6461)+P15(x6461,x6462)+P14(f79(x6461,x6462),x6462)
% 3.75/3.80 [647]~P20(x6471)+P15(x6471,x6472)+P14(f85(x6471,x6472),x6472)
% 3.75/3.80 [648]~P20(x6481)+P16(x6481,x6482)+P14(f86(x6481,x6482),x6482)
% 3.75/3.80 [649]~P20(x6491)+P16(x6491,x6492)+P14(f98(x6491,x6492),x6492)
% 3.75/3.80 [650]~P20(x6501)+P17(x6501,x6502)+P14(f105(x6501,x6502),x6502)
% 3.75/3.80 [651]~P20(x6511)+P17(x6511,x6512)+P14(f110(x6511,x6512),x6512)
% 3.75/3.80 [652]~P20(x6521)+P17(x6521,x6522)+P14(f111(x6521,x6522),x6522)
% 3.75/3.80 [653]~P20(x6531)+P18(x6531,x6532)+P14(f53(x6531,x6532),x6532)
% 3.75/3.80 [654]~P20(x6541)+P19(x6541,x6542)+P26(f74(x6541,x6542),x6542)
% 3.75/3.80 [670]~P20(x6701)+P15(x6701,x6702)+~E(f85(x6701,x6702),f79(x6701,x6702))
% 3.75/3.80 [671]~P20(x6711)+P16(x6711,x6712)+~E(f98(x6711,x6712),f86(x6711,x6712))
% 3.75/3.80 [682]E(f54(x6822,x6821),x6822)+P14(f54(x6822,x6821),x6821)+E(x6821,f153(x6822,x6822))
% 3.75/3.80 [686]P14(x6861,f14(x6862))+P5(x6861,f14(x6862))+~P26(x6861,f14(x6862))
% 3.75/3.80 [687]P14(x6871,f32(x6872))+P5(x6871,f32(x6872))+~P26(x6871,f32(x6872))
% 3.75/3.80 [705]E(x7051,f153(x7052,x7052))+~P26(x7051,f153(x7052,x7052))+E(x7051,a1)
% 3.75/3.80 [707]E(x7071,x7072)+P14(f17(x7071,x7072),x7072)+P14(f17(x7071,x7072),x7071)
% 3.75/3.80 [718]P14(f60(x7182,x7181),x7181)+P26(f60(x7182,x7181),x7182)+E(x7181,f136(x7182))
% 3.75/3.80 [719]P14(f87(x7192,x7191),x7191)+P14(f89(x7192,x7191),x7192)+E(x7191,f146(x7192))
% 3.75/3.80 [750]~E(f54(x7502,x7501),x7502)+~P14(f54(x7502,x7501),x7501)+E(x7501,f153(x7502,x7502))
% 3.75/3.80 [766]P14(f87(x7662,x7661),x7661)+P14(f87(x7662,x7661),f89(x7662,x7661))+E(x7661,f146(x7662))
% 3.75/3.80 [786]E(x7861,x7862)+~P14(f17(x7861,x7862),x7862)+~P14(f17(x7861,x7862),x7861)
% 3.75/3.80 [792]~P14(f60(x7922,x7921),x7921)+~P26(f60(x7922,x7921),x7922)+E(x7921,f136(x7922))
% 3.75/3.80 [669]~P20(x6692)+~P20(x6691)+E(f139(f138(x6691,x6692)),f141(x6692,f139(x6691)))
% 3.75/3.80 [692]E(x6921,a1)+~P2(x6921,f136(f136(x6922)))+~E(f4(x6922,x6921),a1)
% 3.75/3.80 [736]~P20(x7362)+~P20(x7361)+P26(f5(f138(x7361,x7362)),f5(x7361))
% 3.75/3.80 [737]~P20(x7372)+~P20(x7371)+P26(f139(f138(x7371,x7372)),f139(x7372))
% 3.75/3.80 [743]~P20(x7432)+~P20(x7431)+P20(f147(x7431,f147(x7431,x7432)))
% 3.75/3.80 [755]~P8(x7551)+~P20(x7551)+P26(f141(x7551,f145(x7551,x7552)),x7552)
% 3.75/3.80 [790]~P20(x7902)+~P26(x7901,f5(x7902))+P26(x7901,f145(x7902,f141(x7902,x7901)))
% 3.75/3.80 [830]E(x8301,a1)+~P2(x8301,f136(f136(x8302)))+E(f152(x8302,x8302,f137(x8302,x8301)),f154(x8302,f4(x8302,x8301)))
% 3.75/3.80 [831]E(x8311,a1)+~P2(x8311,f136(f136(x8312)))+E(f152(x8312,x8312,f154(x8312,x8311)),f137(x8312,f4(x8312,x8311)))
% 3.75/3.80 [907]~P20(x9071)+~P14(x9072,x9071)+E(f153(f153(f49(x9071,x9072),f51(x9071,x9072)),f153(f49(x9071,x9072),f49(x9071,x9072))),x9072)
% 3.75/3.80 [951]~P20(x9511)+P15(x9511,x9512)+P14(f153(f153(f79(x9511,x9512),f85(x9511,x9512)),f153(f79(x9511,x9512),f79(x9511,x9512))),x9511)
% 3.75/3.80 [952]~P20(x9521)+P15(x9521,x9522)+P14(f153(f153(f85(x9521,x9522),f79(x9521,x9522)),f153(f85(x9521,x9522),f85(x9521,x9522))),x9521)
% 3.75/3.80 [953]~P20(x9531)+P17(x9531,x9532)+P14(f153(f153(f105(x9531,x9532),f110(x9531,x9532)),f153(f105(x9531,x9532),f105(x9531,x9532))),x9531)
% 3.75/3.80 [954]~P20(x9541)+P17(x9541,x9542)+P14(f153(f153(f110(x9541,x9542),f111(x9541,x9542)),f153(f110(x9541,x9542),f110(x9541,x9542))),x9541)
% 3.75/3.80 [969]~P20(x9691)+P16(x9691,x9692)+~P14(f153(f153(f86(x9691,x9692),f98(x9691,x9692)),f153(f86(x9691,x9692),f86(x9691,x9692))),x9691)
% 3.75/3.80 [970]~P20(x9701)+P16(x9701,x9702)+~P14(f153(f153(f98(x9701,x9702),f86(x9701,x9702)),f153(f98(x9701,x9702),f98(x9701,x9702))),x9701)
% 3.75/3.80 [971]~P20(x9711)+P17(x9711,x9712)+~P14(f153(f153(f105(x9711,x9712),f111(x9711,x9712)),f153(f105(x9711,x9712),f105(x9711,x9712))),x9711)
% 3.75/3.80 [972]~P20(x9721)+P18(x9721,x9722)+~P14(f153(f153(f53(x9721,x9722),f53(x9721,x9722)),f153(f53(x9721,x9722),f53(x9721,x9722))),x9721)
% 3.75/3.80 [633]~P26(x6333,x6332)+P14(x6331,x6332)+~P14(x6331,x6333)
% 3.75/3.80 [634]~P26(x6341,x6343)+P26(x6341,x6342)+~P26(x6343,x6342)
% 3.75/3.80 [635]~P7(x6353,x6352)+P7(x6351,x6352)+~P26(x6351,x6353)
% 3.75/3.80 [672]~P14(x6722,x6723)+~P14(x6721,x6722)+~P14(x6723,x6721)
% 3.75/3.80 [673]~P7(x6733,x6732)+~P14(x6731,x6732)+~P14(x6731,x6733)
% 3.75/3.80 [595]~P26(x5951,x5953)+P14(x5951,x5952)+~E(x5952,f136(x5953))
% 3.75/3.80 [596]~P14(x5961,x5963)+P26(x5961,x5962)+~E(x5963,f136(x5962))
% 3.75/3.80 [610]~P14(x6101,x6103)+E(x6101,x6102)+~E(x6103,f153(x6102,x6102))
% 3.75/3.80 [655]~P1(x6551)+~P14(x6552,x6553)+~P2(x6553,f136(x6551))
% 3.75/3.80 [677]P14(x6771,x6772)+~P14(x6771,x6773)+~P2(x6773,f136(x6772))
% 3.75/3.80 [678]P2(x6781,x6782)+~P14(x6781,x6783)+~P2(x6783,f136(x6782))
% 3.75/3.80 [688]~P26(x6881,x6883)+P14(x6881,f14(x6882))+~P14(x6883,f14(x6882))
% 3.75/3.80 [689]~P26(x6891,x6893)+P14(x6891,f32(x6892))+~P14(x6893,f32(x6892))
% 3.75/3.80 [711]~P20(x7112)+P14(x7111,x7112)+~P14(x7111,f144(x7112,x7113))
% 3.75/3.80 [716]~P14(x7162,x7163)+~P14(x7161,x7163)+P26(f153(x7161,x7162),x7163)
% 3.75/3.80 [717]~P26(x7172,x7173)+~P26(x7171,x7173)+P26(f149(x7171,x7172),x7173)
% 3.75/3.80 [739]~P26(x7391,x7393)+~P14(x7393,f32(x7392))+P14(x7391,f43(x7392,x7393))
% 3.75/3.80 [742]~P20(x7421)+~P26(x7422,x7423)+P26(f145(x7421,x7422),f145(x7421,x7423))
% 3.75/3.80 [759]~P14(x7591,x7592)+~P14(x7593,x7592)+~P14(x7593,f33(x7591,x7592))
% 3.75/3.80 [763]~P20(x7633)+~P14(x7631,f144(x7633,x7632))+P14(x7631,f3(x7632,x7632))
% 3.75/3.80 [777]~P14(x7771,x7772)+~P14(x7771,f151(x7773,x7772))+~P2(x7772,f136(x7773))
% 3.75/3.80 [795]~P2(x7953,f136(x7951))+~P2(x7952,f136(x7951))+E(f152(x7951,x7952,x7953),f147(x7952,x7953))
% 3.75/3.80 [819]~P14(x8191,x8193)+~E(x8193,f146(x8192))+P14(x8191,f88(x8192,x8193,x8191))
% 3.75/3.80 [820]~P14(x8203,x8202)+~E(x8202,f146(x8201))+P14(f88(x8201,x8202,x8203),x8201)
% 3.75/3.80 [842]~P20(x8423)+~P14(x8421,f141(x8423,x8422))+P14(f18(x8421,x8422,x8423),x8422)
% 3.75/3.80 [843]~P20(x8433)+~P14(x8431,f145(x8433,x8432))+P14(f19(x8431,x8432,x8433),x8432)
% 3.75/3.80 [844]~P2(x8443,f136(x8441))+~P2(x8442,f136(x8441))+P2(f152(x8441,x8442,x8443),f136(x8441))
% 3.75/3.80 [847]~P20(x8473)+~P14(x8471,f141(x8473,x8472))+P14(f18(x8471,x8472,x8473),f5(x8473))
% 3.75/3.80 [848]~P20(x8483)+~P14(x8481,f145(x8483,x8482))+P14(f19(x8481,x8482,x8483),f139(x8483))
% 3.75/3.80 [879]P14(f66(x8792,x8793,x8791),x8791)+P14(f70(x8792,x8793,x8791),x8792)+E(x8791,f3(x8792,x8793))
% 3.75/3.80 [880]P14(f66(x8802,x8803,x8801),x8801)+P14(f71(x8802,x8803,x8801),x8803)+E(x8801,f3(x8802,x8803))
% 3.75/3.80 [881]P14(f92(x8812,x8813,x8811),x8811)+P14(f92(x8812,x8813,x8811),x8812)+E(x8811,f147(x8812,x8813))
% 3.75/3.80 [903]~E(f62(x9032,x9033,x9031),x9033)+~P14(f62(x9032,x9033,x9031),x9031)+E(x9031,f153(x9032,x9033))
% 3.75/3.80 [904]~E(f62(x9042,x9043,x9041),x9042)+~P14(f62(x9042,x9043,x9041),x9041)+E(x9041,f153(x9042,x9043))
% 3.75/3.80 [911]P14(f92(x9112,x9113,x9111),x9111)+~P14(f92(x9112,x9113,x9111),x9113)+E(x9111,f147(x9112,x9113))
% 3.75/3.80 [927]~P14(f67(x9272,x9273,x9271),x9271)+~P14(f67(x9272,x9273,x9271),x9273)+E(x9271,f149(x9272,x9273))
% 3.75/3.80 [928]~P14(f67(x9282,x9283,x9281),x9281)+~P14(f67(x9282,x9283,x9281),x9282)+E(x9281,f149(x9282,x9283))
% 3.75/3.80 [788]~P26(x7882,x7883)+P14(x7881,x7882)+P26(x7882,f147(x7883,f153(x7881,x7881)))
% 3.75/3.80 [799]P14(x7991,x7992)+~P20(x7993)+~P14(x7991,f5(f143(x7993,x7992)))
% 3.75/3.80 [800]P14(x8001,x8002)+~P20(x8003)+~P14(x8001,f142(f144(x8003,x8002)))
% 3.75/3.80 [801]P14(x8011,x8012)+~P20(x8013)+~P14(x8011,f139(f148(x8012,x8013)))
% 3.75/3.80 [805]~P26(x8051,x8053)+~P26(x8051,x8052)+P26(x8051,f147(x8052,f147(x8052,x8053)))
% 3.75/3.80 [808]~P20(x8082)+P14(x8081,f5(x8082))+~P14(x8081,f5(f143(x8082,x8083)))
% 3.75/3.80 [809]~P20(x8092)+P14(x8091,f142(x8092))+~P14(x8091,f142(f144(x8092,x8093)))
% 3.75/3.80 [810]~P20(x8102)+P14(x8101,f139(x8102))+~P14(x8101,f139(f148(x8103,x8102)))
% 3.75/3.80 [871]~P20(x8712)+P14(x8711,f5(x8712))+~P14(f153(f153(x8711,x8713),f153(x8711,x8711)),x8712)
% 3.75/3.80 [872]~P20(x8722)+P14(x8721,f142(x8722))+~P14(f153(f153(x8723,x8721),f153(x8723,x8723)),x8722)
% 3.75/3.80 [873]~P20(x8732)+P14(x8731,f142(x8732))+~P14(f153(f153(x8731,x8733),f153(x8731,x8731)),x8732)
% 3.75/3.80 [874]~P20(x8742)+P14(x8741,f139(x8742))+~P14(f153(f153(x8743,x8741),f153(x8743,x8743)),x8742)
% 3.75/3.80 [900]P14(f80(x9002,x9003,x9001),x9001)+P14(f80(x9002,x9003,x9001),x9003)+E(x9001,f147(x9002,f147(x9002,x9003)))
% 3.75/3.80 [901]P14(f80(x9012,x9013,x9011),x9011)+P14(f80(x9012,x9013,x9011),x9012)+E(x9011,f147(x9012,f147(x9012,x9013)))
% 3.75/3.80 [963]~P20(x9633)+~P14(x9631,f145(x9633,x9632))+P14(f153(f153(x9631,f19(x9631,x9632,x9633)),f153(x9631,x9631)),x9633)
% 3.75/3.80 [976]P14(f66(x9762,x9763,x9761),x9761)+E(x9761,f3(x9762,x9763))+E(f153(f153(f70(x9762,x9763,x9761),f71(x9762,x9763,x9761)),f153(f70(x9762,x9763,x9761),f70(x9762,x9763,x9761))),f66(x9762,x9763,x9761))
% 3.75/3.80 [986]~P20(x9863)+~P14(x9861,f141(x9863,x9862))+P14(f153(f153(f18(x9861,x9862,x9863),x9861),f153(f18(x9861,x9862,x9863),f18(x9861,x9862,x9863))),x9863)
% 3.75/3.80 [550]P14(x5501,x5502)+~E(x5501,x5503)+~E(x5502,f153(x5504,x5503))
% 3.75/3.80 [551]P14(x5511,x5512)+~E(x5511,x5513)+~E(x5512,f153(x5513,x5514))
% 3.75/3.80 [609]E(x6091,x6092)+E(x6091,x6093)+~E(f153(x6091,x6094),f153(x6093,x6092))
% 3.75/3.80 [640]~P14(x6401,x6404)+P14(x6401,x6402)+~E(x6402,f149(x6403,x6404))
% 3.75/3.80 [641]~P14(x6411,x6413)+P14(x6411,x6412)+~E(x6412,f149(x6413,x6414))
% 3.75/3.80 [642]~P14(x6421,x6423)+P14(x6421,x6422)+~E(x6423,f147(x6422,x6424))
% 3.75/3.80 [676]~P14(x6764,x6763)+~P14(x6764,x6761)+~E(x6761,f147(x6762,x6763))
% 3.75/3.80 [765]~P26(x7652,x7654)+~P26(x7651,x7653)+P26(f3(x7651,x7652),f3(x7653,x7654))
% 3.75/3.80 [944]~P14(x9444,x9443)+~E(x9443,f3(x9441,x9442))+P14(f68(x9441,x9442,x9443,x9444),x9441)
% 3.75/3.80 [945]~P14(x9454,x9453)+~E(x9453,f3(x9451,x9452))+P14(f69(x9451,x9452,x9453,x9454),x9452)
% 3.75/3.80 [981]~E(f50(x9812,x9813,x9814,x9811),x9814)+~P14(f50(x9812,x9813,x9814,x9811),x9811)+E(x9811,f155(x9812,x9813,x9814))
% 3.75/3.80 [982]~E(f50(x9822,x9823,x9824,x9821),x9823)+~P14(f50(x9822,x9823,x9824,x9821),x9821)+E(x9821,f155(x9822,x9823,x9824))
% 3.75/3.80 [983]~E(f50(x9832,x9833,x9834,x9831),x9832)+~P14(f50(x9832,x9833,x9834,x9831),x9831)+E(x9831,f155(x9832,x9833,x9834))
% 3.75/3.80 [748]~P14(x7481,x7483)+P14(x7481,x7482)+~E(x7483,f147(x7484,f147(x7484,x7482)))
% 3.75/3.80 [857]~P14(x8572,x8574)+~P14(x8571,x8573)+P14(f153(f153(x8571,x8572),f153(x8571,x8571)),f3(x8573,x8574))
% 3.75/3.80 [908]P14(x9081,x9082)+~P20(x9083)+~P14(f153(f153(x9081,x9084),f153(x9081,x9081)),f138(f131(x9082),x9083))
% 3.75/3.80 [935]~P20(x9353)+P14(f153(f153(x9351,x9352),f153(x9351,x9351)),x9353)+~P14(f153(f153(x9351,x9352),f153(x9351,x9351)),f138(f131(x9354),x9353))
% 3.75/3.80 [1003]~P14(x10034,x10033)+~E(x10033,f3(x10031,x10032))+E(f153(f153(f68(x10031,x10032,x10033,x10034),f69(x10031,x10032,x10033,x10034)),f153(f68(x10031,x10032,x10033,x10034),f68(x10031,x10032,x10033,x10034))),x10034)
% 3.75/3.80 [751]P14(x7511,x7512)+~E(x7511,x7513)+~E(x7512,f155(x7514,x7515,x7513))
% 3.75/3.80 [752]P14(x7521,x7522)+~E(x7521,x7523)+~E(x7522,f155(x7524,x7523,x7525))
% 3.75/3.80 [753]P14(x7531,x7532)+~E(x7531,x7533)+~E(x7532,f155(x7533,x7534,x7535))
% 3.75/3.80 [495]~P1(x4951)+~P8(x4951)+~P20(x4951)+P13(x4951)
% 3.75/3.80 [502]~P8(x5021)+~P20(x5021)+~P13(x5021)+E(f133(x5021),f140(x5021))
% 3.75/3.80 [506]~P8(x5061)+~P20(x5061)+P13(x5061)+~E(f73(x5061),f104(x5061))
% 3.75/3.80 [507]~P8(x5071)+~P20(x5071)+~P13(x5071)+P8(f140(x5071))
% 3.75/3.80 [509]~P8(x5091)+~P20(x5091)+~P13(x5091)+P13(f133(x5091))
% 3.75/3.80 [597]~P8(x5971)+~P20(x5971)+P13(x5971)+P14(f73(x5971),f5(x5971))
% 3.75/3.80 [598]~P8(x5981)+~P20(x5981)+P13(x5981)+P14(f104(x5981),f5(x5981))
% 3.75/3.80 [524]~P8(x5241)+~P20(x5241)+~P13(x5241)+E(f139(f133(x5241)),f5(x5241))
% 3.75/3.80 [525]~P8(x5251)+~P20(x5251)+~P13(x5251)+E(f5(f133(x5251)),f139(x5251))
% 3.75/3.80 [632]P13(x6321)+~P8(x6321)+~P20(x6321)+E(f2(x6321,f73(x6321)),f2(x6321,f104(x6321)))
% 3.75/3.80 [558]P22(x5582,x5581)+~P12(x5581)+~P12(x5582)+P22(x5581,x5582)
% 3.75/3.80 [612]~P12(x6122)+~P9(x6121)+~P21(x6121,x6122)+P14(x6121,x6122)
% 3.75/3.80 [613]~P12(x6132)+~P12(x6131)+~P26(x6131,x6132)+P22(x6131,x6132)
% 3.75/3.80 [614]~P12(x6142)+~P12(x6141)+~P22(x6141,x6142)+P26(x6141,x6142)
% 3.75/3.80 [497]~P8(x4971)+~P20(x4971)+~E(x4971,f131(x4972))+E(f5(x4971),x4972)
% 3.75/3.80 [645]~P12(x6452)+~P26(x6451,x6452)+E(x6451,a1)+P12(f21(x6451,x6452))
% 3.75/3.80 [660]~P20(x6602)+~P26(x6601,f139(x6602))+E(x6601,a1)+~E(f145(x6602,x6601),a1)
% 3.75/3.80 [661]~P20(x6612)+~P20(x6611)+~P26(x6611,x6612)+P26(f5(x6611),f5(x6612))
% 3.75/3.80 [662]~P20(x6622)+~P20(x6621)+~P26(x6621,x6622)+P26(f139(x6621),f139(x6622))
% 3.75/3.80 [683]~P12(x6832)+~P26(x6831,x6832)+P14(f21(x6831,x6832),x6831)+E(x6831,a1)
% 3.75/3.80 [762]P14(f57(x7621,x7622),x7621)+~P14(f55(x7621,x7622),x7622)+E(x7621,a1)+E(x7622,f150(x7621))
% 3.75/3.80 [776]~P20(x7761)+P28(x7761)+~P7(f134(x7761,x7762),f40(x7761))+~P14(x7762,f40(x7761))
% 3.75/3.80 [833]~P14(f55(x8331,x8332),x8332)+~P14(f55(x8331,x8332),f57(x8331,x8332))+E(x8331,a1)+E(x8332,f150(x8331))
% 3.75/3.80 [699]~P20(x6991)+~P24(x6991)+~P26(x6992,f142(x6991))+E(f142(f144(x6991,x6992)),x6992)
% 3.75/3.80 [721]~P12(x7211)+~P12(x7212)+~P3(x7211)+~E(x7211,f149(x7212,f153(x7212,x7212)))
% 3.75/3.80 [724]~P8(x7241)+~P20(x7241)+~P26(x7242,f139(x7241))+E(f141(x7241,f145(x7241,x7242)),x7242)
% 3.75/3.80 [732]~P20(x7322)+~P20(x7321)+~P26(f139(x7321),f5(x7322))+E(f5(f138(x7321,x7322)),f5(x7321))
% 3.75/3.80 [733]~P20(x7331)+~P20(x7332)+~P26(f5(x7332),f139(x7331))+E(f139(f138(x7331,x7332)),f139(x7332))
% 3.75/3.80 [787]~P12(x7872)+~P12(x7871)+~P14(x7871,x7872)+P22(f149(x7871,f153(x7871,x7871)),x7872)
% 3.75/3.80 [832]~P12(x8322)+~P12(x8321)+P14(x8321,x8322)+~P22(f149(x8321,f153(x8321,x8321)),x8322)
% 3.75/3.80 [841]~P20(x8412)+~P23(x8412)+~P14(x8411,f142(x8412))+P14(f153(f153(x8411,x8411),f153(x8411,x8411)),x8412)
% 3.75/3.80 [955]~P20(x9552)+~P20(x9551)+P26(x9551,x9552)+P14(f153(f153(f76(x9551,x9552),f77(x9551,x9552)),f153(f76(x9551,x9552),f76(x9551,x9552))),x9551)
% 3.75/3.80 [956]~P20(x9561)+E(f52(x9562,x9561),f63(x9562,x9561))+E(x9561,f131(x9562))+P14(f153(f153(f52(x9562,x9561),f63(x9562,x9561)),f153(f52(x9562,x9561),f52(x9562,x9561))),x9561)
% 3.75/3.80 [959]~P20(x9591)+P14(f52(x9592,x9591),x9592)+E(x9591,f131(x9592))+P14(f153(f153(f52(x9592,x9591),f63(x9592,x9591)),f153(f52(x9592,x9591),f52(x9592,x9591))),x9591)
% 3.75/3.80 [960]~P20(x9602)+P14(f82(x9602,x9601),x9601)+E(x9601,f5(x9602))+P14(f153(f153(f82(x9602,x9601),f84(x9602,x9601)),f153(f82(x9602,x9601),f82(x9602,x9601))),x9602)
% 3.75/3.80 [961]~P20(x9612)+P14(f95(x9612,x9611),x9611)+E(x9611,f139(x9612))+P14(f153(f153(f97(x9612,x9611),f95(x9612,x9611)),f153(f97(x9612,x9611),f97(x9612,x9611))),x9612)
% 3.75/3.80 [974]~P20(x9742)+~P20(x9741)+P26(x9741,x9742)+~P14(f153(f153(f76(x9741,x9742),f77(x9741,x9742)),f153(f76(x9741,x9742),f76(x9741,x9742))),x9742)
% 3.75/3.80 [785]~P7(x7851,x7853)+~P2(x7853,f136(x7852))+~P2(x7851,f136(x7852))+P26(x7851,f151(x7852,x7853))
% 3.75/3.80 [796]~P20(x7962)+~P14(x7961,x7962)+~P14(x7961,f3(x7963,x7963))+P14(x7961,f144(x7962,x7963))
% 3.75/3.80 [813]P7(x8131,x8132)+~P26(x8131,f151(x8133,x8132))+~P2(x8132,f136(x8133))+~P2(x8131,f136(x8133))
% 3.75/3.80 [814]P14(x8142,x8143)+P14(f56(x8141,x8143,x8142),x8141)+~E(x8143,f150(x8141))+E(x8141,a1)
% 3.75/3.80 [821]~P14(x8213,x8212)+~P14(f87(x8212,x8211),x8213)+~P14(f87(x8212,x8211),x8211)+E(x8211,f146(x8212))
% 3.75/3.80 [839]~P20(x8391)+P19(x8391,x8392)+~P7(f134(x8391,x8393),f74(x8391,x8392))+~P14(x8393,f74(x8391,x8392))
% 3.75/3.80 [855]P14(x8552,x8553)+~E(x8553,f150(x8551))+~P14(x8552,f56(x8551,x8553,x8552))+E(x8551,a1)
% 3.75/3.80 [860]~P20(x8602)+P14(f58(x8602,x8603,x8601),x8601)+~E(f58(x8602,x8603,x8601),x8603)+E(x8601,f134(x8602,x8603))
% 3.75/3.80 [864]E(f62(x8642,x8643,x8641),x8643)+E(f62(x8642,x8643,x8641),x8642)+P14(f62(x8642,x8643,x8641),x8641)+E(x8641,f153(x8642,x8643))
% 3.75/3.80 [885]~P20(x8852)+P14(f44(x8852,x8853,x8851),x8851)+P14(f45(x8852,x8853,x8851),x8853)+E(x8851,f141(x8852,x8853))
% 3.75/3.80 [886]~P20(x8862)+P14(f46(x8862,x8863,x8861),x8861)+P14(f48(x8862,x8863,x8861),x8863)+E(x8861,f145(x8862,x8863))
% 3.75/3.80 [919]P14(f67(x9192,x9193,x9191),x9191)+P14(f67(x9192,x9193,x9191),x9193)+P14(f67(x9192,x9193,x9191),x9192)+E(x9191,f149(x9192,x9193))
% 3.75/3.80 [941]P14(f92(x9412,x9413,x9411),x9413)+~P14(f92(x9412,x9413,x9411),x9411)+~P14(f92(x9412,x9413,x9411),x9412)+E(x9411,f147(x9412,x9413))
% 3.75/3.80 [734]~P8(x7341)+~P20(x7341)+~P14(x7343,x7342)+E(f2(f143(x7341,x7342),x7343),f2(x7341,x7343))
% 3.75/3.80 [797]~P20(x7972)+~P14(x7971,x7973)+~P14(x7971,f5(x7972))+P14(x7971,f5(f143(x7972,x7973)))
% 3.75/3.80 [798]~P20(x7983)+~P14(x7981,x7982)+~P14(x7981,f139(x7983))+P14(x7981,f139(f148(x7982,x7983)))
% 3.75/3.80 [836]~P8(x8361)+~P20(x8361)+E(f2(f143(x8361,x8362),x8363),f2(x8361,x8363))+~P14(x8363,f5(f143(x8361,x8362)))
% 3.75/3.80 [846]~P20(x8462)+~P18(x8462,x8463)+~P14(x8461,x8463)+P14(f153(f153(x8461,x8461),f153(x8461,x8461)),x8462)
% 3.75/3.80 [863]P2(f112(x8632,x8633,x8631),f136(x8632))+E(x8631,f4(x8632,x8633))+~P2(x8631,f136(f136(x8632)))+~P2(x8633,f136(f136(x8632)))
% 3.75/3.80 [875]~P8(x8752)+~P20(x8752)+E(x8751,f2(x8752,x8753))+~P14(f153(f153(x8753,x8751),f153(x8753,x8753)),x8752)
% 3.75/3.80 [938]~P20(x9382)+~P14(f95(x9382,x9381),x9381)+E(x9381,f139(x9382))+~P14(f153(f153(x9383,f95(x9382,x9381)),f153(x9383,x9383)),x9382)
% 3.75/3.80 [957]~P20(x9572)+~P14(x9571,x9573)+~E(x9573,f5(x9572))+P14(f153(f153(x9571,f81(x9572,x9573,x9571)),f153(x9571,x9571)),x9572)
% 3.75/3.80 [962]~P14(f80(x9622,x9623,x9621),x9621)+~P14(f80(x9622,x9623,x9621),x9623)+~P14(f80(x9622,x9623,x9621),x9622)+E(x9621,f147(x9622,f147(x9622,x9623)))
% 3.75/3.80 [967]~P20(x9672)+~P14(f82(x9672,x9671),x9671)+E(x9671,f5(x9672))+~P14(f153(f153(f82(x9672,x9671),x9673),f153(f82(x9672,x9671),f82(x9672,x9671))),x9672)
% 3.75/3.80 [985]~P20(x9851)+~P14(x9853,x9852)+~E(x9852,f139(x9851))+P14(f153(f153(f96(x9851,x9852,x9853),x9853),f153(f96(x9851,x9852,x9853),f96(x9851,x9852,x9853))),x9851)
% 3.75/3.80 [987]~P20(x9872)+P14(f58(x9872,x9873,x9871),x9871)+E(x9871,f134(x9872,x9873))+P14(f153(f153(f58(x9872,x9873,x9871),x9873),f153(f58(x9872,x9873,x9871),f58(x9872,x9873,x9871))),x9872)
% 3.75/3.80 [990]~P20(x9902)+P14(f44(x9902,x9903,x9901),x9901)+E(x9901,f141(x9902,x9903))+P14(f153(f153(f45(x9902,x9903,x9901),f44(x9902,x9903,x9901)),f153(f45(x9902,x9903,x9901),f45(x9902,x9903,x9901))),x9902)
% 3.75/3.80 [991]~P20(x9912)+P14(f46(x9912,x9913,x9911),x9911)+E(x9911,f145(x9912,x9913))+P14(f153(f153(f46(x9912,x9913,x9911),f48(x9912,x9913,x9911)),f153(f46(x9912,x9913,x9911),f46(x9912,x9913,x9911))),x9912)
% 3.75/3.80 [611]~P14(x6111,x6114)+E(x6111,x6112)+E(x6111,x6113)+~E(x6114,f153(x6113,x6112))
% 3.75/3.80 [628]~P20(x6284)+~P14(x6281,x6283)+~E(x6281,x6282)+~E(x6283,f134(x6284,x6282))
% 3.75/3.80 [674]~P14(x6741,x6744)+P14(x6741,x6742)+~P14(x6744,x6743)+~E(x6742,f146(x6743))
% 3.75/3.80 [690]~P14(x6901,x6904)+P14(x6901,x6902)+P14(x6901,x6903)+~E(x6902,f147(x6904,x6903))
% 3.75/3.80 [691]~P14(x6911,x6914)+P14(x6911,x6912)+P14(x6911,x6913)+~E(x6914,f149(x6913,x6912))
% 3.75/3.80 [946]~P20(x9461)+~P14(x9464,x9463)+~E(x9463,f141(x9461,x9462))+P14(f31(x9461,x9462,x9463,x9464),x9462)
% 3.75/3.80 [947]~P20(x9471)+~P14(x9474,x9473)+~E(x9473,f145(x9471,x9472))+P14(f47(x9471,x9472,x9473,x9474),x9472)
% 3.75/3.80 [783]~P14(x7831,x7834)+~P14(x7831,x7833)+P14(x7831,x7832)+~E(x7832,f147(x7833,f147(x7833,x7834)))
% 3.75/3.80 [849]~P20(x8493)+~P14(x8491,x8494)+~E(x8494,f134(x8493,x8492))+P14(f153(f153(x8491,x8492),f153(x8491,x8491)),x8493)
% 3.75/3.80 [862]~P20(x8623)+E(x8621,x8622)+~E(x8623,f131(x8624))+~P14(f153(f153(x8621,x8622),f153(x8621,x8621)),x8623)
% 3.75/3.80 [876]~P20(x8763)+P14(x8761,x8762)+~E(x8762,f139(x8763))+~P14(f153(f153(x8764,x8761),f153(x8764,x8764)),x8763)
% 3.75/3.80 [877]~P20(x8773)+P14(x8771,x8772)+~E(x8772,f5(x8773))+~P14(f153(f153(x8771,x8774),f153(x8771,x8771)),x8773)
% 3.75/3.80 [878]~P20(x8783)+P14(x8781,x8782)+~E(x8783,f131(x8782))+~P14(f153(f153(x8781,x8784),f153(x8781,x8781)),x8783)
% 3.75/3.80 [936]~P20(x9364)+~P14(x9361,x9363)+~P14(f153(f153(x9361,x9362),f153(x9361,x9361)),x9364)+P14(f153(f153(x9361,x9362),f153(x9361,x9361)),f138(f131(x9363),x9364))
% 3.75/3.80 [996]~P20(x9962)+~P14(x9961,x9964)+~E(x9964,f145(x9962,x9963))+P14(f153(f153(x9961,f47(x9962,x9963,x9964,x9961)),f153(x9961,x9961)),x9962)
% 3.75/3.81 [1008]~P20(x10081)+~P14(x10084,x10083)+~E(x10083,f141(x10081,x10082))+P14(f153(f153(f31(x10081,x10082,x10083,x10084),x10084),f153(f31(x10081,x10082,x10083,x10084),f31(x10081,x10082,x10083,x10084))),x10081)
% 3.75/3.81 [599]P14(x5992,x5991)+P14(x5991,x5992)+~P12(x5992)+~P12(x5991)+E(x5991,x5992)
% 3.75/3.81 [630]~P8(x6302)+~P8(x6301)+~P20(x6302)+~P20(x6301)+P8(f138(x6301,x6302))
% 3.75/3.81 [675]~P8(x6751)+~P20(x6751)+P14(f22(x6752,x6751),x6752)+~E(f5(x6751),x6752)+E(x6751,f131(x6752))
% 3.75/3.81 [725]~P20(x7252)+~P28(x7252)+~P26(x7251,f142(x7252))+P14(f61(x7252,x7251),x7251)+E(x7251,a1)
% 3.75/3.81 [756]~P8(x7562)+~P20(x7562)+P14(f90(x7562,x7561),x7561)+P14(f93(x7562,x7561),f5(x7562))+E(x7561,f139(x7562))
% 3.75/3.81 [768]~P8(x7681)+~P20(x7681)+~E(f5(x7681),x7682)+E(x7681,f131(x7682))+~E(f2(x7681,f22(x7682,x7681)),f22(x7682,x7681))
% 3.75/3.81 [770]~P8(x7702)+~P20(x7702)+P14(f90(x7702,x7701),x7701)+E(x7701,f139(x7702))+E(f2(x7702,f93(x7702,x7701)),f90(x7702,x7701))
% 3.75/3.81 [803]~P12(x8031)+~P12(x8032)+~P3(x8032)+~P14(x8031,x8032)+P14(f149(x8031,f153(x8031,x8031)),x8032)
% 3.75/3.81 [806]~P20(x8062)+~P28(x8062)+~P26(x8061,f142(x8062))+E(x8061,a1)+P7(f134(x8062,f61(x8062,x8061)),x8061)
% 3.75/3.81 [757]~P8(x7571)+~P20(x7571)+~P13(x7571)+~P14(x7572,f139(x7571))+E(f2(x7571,f2(f133(x7571),x7572)),x7572)
% 3.75/3.81 [758]~P8(x7581)+~P20(x7581)+~P13(x7581)+~P14(x7582,f139(x7581))+E(f2(f138(f133(x7581),x7581),x7582),x7582)
% 3.75/3.81 [975]~P20(x9751)+~E(f52(x9752,x9751),f63(x9752,x9751))+~P14(f52(x9752,x9751),x9752)+E(x9751,f131(x9752))+~P14(f153(f153(f52(x9752,x9751),f63(x9752,x9751)),f153(f52(x9752,x9751),f52(x9752,x9751))),x9751)
% 3.75/3.81 [978]~P20(x9782)+~P20(x9781)+E(x9781,x9782)+P14(f153(f153(f64(x9781,x9782),f65(x9781,x9782)),f153(f64(x9781,x9782),f64(x9781,x9782))),x9782)+P14(f153(f153(f64(x9781,x9782),f65(x9781,x9782)),f153(f64(x9781,x9782),f64(x9781,x9782))),x9781)
% 3.75/3.81 [979]~P20(x9791)+~P20(x9792)+E(x9791,f140(x9792))+P14(f153(f153(f100(x9792,x9791),f101(x9792,x9791)),f153(f100(x9792,x9791),f100(x9792,x9791))),x9791)+P14(f153(f153(f101(x9792,x9791),f100(x9792,x9791)),f153(f101(x9792,x9791),f101(x9792,x9791))),x9792)
% 3.75/3.81 [988]~P20(x9882)+~P20(x9881)+E(x9881,x9882)+~P14(f153(f153(f64(x9881,x9882),f65(x9881,x9882)),f153(f64(x9881,x9882),f64(x9881,x9882))),x9882)+~P14(f153(f153(f64(x9881,x9882),f65(x9881,x9882)),f153(f64(x9881,x9882),f64(x9881,x9882))),x9881)
% 3.75/3.81 [989]~P20(x9891)+~P20(x9892)+E(x9891,f140(x9892))+~P14(f153(f153(f100(x9892,x9891),f101(x9892,x9891)),f153(f100(x9892,x9891),f100(x9892,x9891))),x9891)+~P14(f153(f153(f101(x9892,x9891),f100(x9892,x9891)),f153(f101(x9892,x9891),f101(x9892,x9891))),x9892)
% 3.75/3.81 [617]~P8(x6172)+~P20(x6172)+P14(x6173,f5(x6172))+~E(x6171,a1)+E(x6171,f2(x6172,x6173))
% 3.75/3.81 [636]~P8(x6363)+~P20(x6363)+~E(x6361,f2(x6363,x6362))+E(x6361,a1)+P14(x6362,f5(x6363))
% 3.75/3.81 [638]~P8(x6381)+~P20(x6381)+~P14(x6382,x6383)+E(f2(x6381,x6382),x6382)+~E(x6381,f131(x6383))
% 3.75/3.81 [761]~P14(x7613,x7611)+P14(f55(x7611,x7612),x7612)+E(x7611,a1)+E(x7612,f150(x7611))+P14(f55(x7611,x7612),x7613)
% 3.75/3.81 [764]~P2(x7642,x7641)+P14(x7642,x7643)+P14(x7642,f151(x7641,x7643))+~P2(x7643,f136(x7641))+E(x7641,a1)
% 3.75/3.81 [829]~P8(x8291)+~P20(x8291)+~P14(x8293,x8292)+~E(x8292,f139(x8291))+P14(f91(x8291,x8292,x8293),f5(x8291))
% 3.75/3.81 [834]~P20(x8342)+~P26(x8341,x8343)+~P19(x8342,x8343)+P14(f78(x8342,x8343,x8341),x8341)+E(x8341,a1)
% 3.75/3.81 [890]~P8(x8902)+~P20(x8902)+P14(f99(x8902,x8903,x8901),x8901)+P14(f113(x8902,x8903,x8901),x8903)+E(x8901,f141(x8902,x8903))
% 3.75/3.81 [892]~P8(x8922)+~P20(x8922)+P14(f99(x8922,x8923,x8921),x8921)+P14(f113(x8922,x8923,x8921),f5(x8922))+E(x8921,f141(x8922,x8923))
% 3.75/3.81 [893]~P8(x8932)+~P20(x8932)+P14(f23(x8932,x8933,x8931),x8931)+P14(f23(x8932,x8933,x8931),f5(x8932))+E(x8931,f145(x8932,x8933))
% 3.75/3.81 [827]~P8(x8271)+~P20(x8271)+~P14(x8273,x8272)+~E(x8272,f139(x8271))+E(f2(x8271,f91(x8271,x8272,x8273)),x8273)
% 3.75/3.81 [854]~P8(x8543)+~P20(x8543)+~E(x8542,f2(x8543,x8541))+~P14(x8541,f5(x8543))+P14(f153(f153(x8541,x8542),f153(x8541,x8541)),x8543)
% 3.75/3.81 [909]~P20(x9092)+~P26(x9091,x9093)+~P19(x9092,x9093)+E(x9091,a1)+P7(f134(x9092,f78(x9092,x9093,x9091)),x9091)
% 3.75/3.81 [910]~P8(x9102)+~P20(x9102)+P14(f99(x9102,x9103,x9101),x9101)+E(x9101,f141(x9102,x9103))+E(f2(x9102,f113(x9102,x9103,x9101)),f99(x9102,x9103,x9101))
% 3.75/3.81 [929]~P8(x9292)+~P20(x9292)+P14(f23(x9292,x9293,x9291),x9291)+E(x9291,f145(x9292,x9293))+P14(f2(x9292,f23(x9292,x9293,x9291)),x9293)
% 3.75/3.81 [939]~P4(x9393)+E(x9391,x9392)+~P20(x9393)+~P14(f153(f153(x9392,x9391),f153(x9392,x9392)),x9393)+~P14(f153(f153(x9391,x9392),f153(x9391,x9391)),x9393)
% 3.75/3.81 [940]P14(f112(x9402,x9403,x9401),x9401)+E(x9401,f4(x9402,x9403))+P14(f151(x9402,f112(x9402,x9403,x9401)),x9403)+~P2(x9401,f136(f136(x9402)))+~P2(x9403,f136(f136(x9402)))
% 3.75/3.81 [966]~P14(f112(x9662,x9663,x9661),x9661)+E(x9661,f4(x9662,x9663))+~P2(x9661,f136(f136(x9662)))+~P2(x9663,f136(f136(x9662)))+~P14(f151(x9662,f112(x9662,x9663,x9661)),x9663)
% 3.75/3.81 [992]~P20(x9921)+~P20(x9922)+P14(f72(x9922,x9923,x9921),x9923)+E(x9921,f143(x9922,x9923))+P14(f153(f153(f72(x9922,x9923,x9921),f83(x9922,x9923,x9921)),f153(f72(x9922,x9923,x9921),f72(x9922,x9923,x9921))),x9921)
% 3.75/3.81 [993]~P20(x9931)+~P20(x9933)+P14(f135(x9932,x9933,x9931),x9932)+E(x9931,f148(x9932,x9933))+P14(f153(f153(f123(x9932,x9933,x9931),f135(x9932,x9933,x9931)),f153(f123(x9932,x9933,x9931),f123(x9932,x9933,x9931))),x9931)
% 3.75/3.81 [998]~P20(x9982)+E(f58(x9982,x9983,x9981),x9983)+~P14(f58(x9982,x9983,x9981),x9981)+E(x9981,f134(x9982,x9983))+~P14(f153(f153(f58(x9982,x9983,x9981),x9983),f153(f58(x9982,x9983,x9981),f58(x9982,x9983,x9981))),x9982)
% 3.75/3.81 [999]~P20(x9991)+~P20(x9992)+E(x9991,f143(x9992,x9993))+P14(f153(f153(f72(x9992,x9993,x9991),f83(x9992,x9993,x9991)),f153(f72(x9992,x9993,x9991),f72(x9992,x9993,x9991))),x9991)+P14(f153(f153(f72(x9992,x9993,x9991),f83(x9992,x9993,x9991)),f153(f72(x9992,x9993,x9991),f72(x9992,x9993,x9991))),x9992)
% 3.75/3.81 [1000]~P20(x10001)+~P20(x10003)+E(x10001,f148(x10002,x10003))+P14(f153(f153(f123(x10002,x10003,x10001),f135(x10002,x10003,x10001)),f153(f123(x10002,x10003,x10001),f123(x10002,x10003,x10001))),x10001)+P14(f153(f153(f123(x10002,x10003,x10001),f135(x10002,x10003,x10001)),f153(f123(x10002,x10003,x10001),f123(x10002,x10003,x10001))),x10003)
% 3.75/3.81 [681]~P14(x6813,x6811)+~P14(x6812,x6814)+P14(x6812,x6813)+E(x6811,a1)+~E(x6814,f150(x6811))
% 3.75/3.81 [706]~P8(x7062)+~P20(x7062)+~P14(x7061,x7063)+P14(x7061,f5(x7062))+~E(x7063,f145(x7062,x7064))
% 3.75/3.81 [746]~P8(x7461)+~P20(x7461)+~P14(x7462,x7464)+P14(f2(x7461,x7462),x7463)+~E(x7464,f145(x7461,x7463))
% 3.75/3.81 [948]~P8(x9481)+~P20(x9481)+~P14(x9484,x9483)+~E(x9483,f141(x9481,x9482))+P14(f94(x9481,x9482,x9483,x9484),x9482)
% 3.75/3.81 [950]~P8(x9501)+~P20(x9501)+~P14(x9504,x9503)+~E(x9503,f141(x9501,x9502))+P14(f94(x9501,x9502,x9503,x9504),f5(x9501))
% 3.75/3.81 [984]E(f50(x9842,x9843,x9844,x9841),x9844)+E(f50(x9842,x9843,x9844,x9841),x9843)+E(f50(x9842,x9843,x9844,x9841),x9842)+P14(f50(x9842,x9843,x9844,x9841),x9841)+E(x9841,f155(x9842,x9843,x9844))
% 3.75/3.81 [837]~E(x8371,x8372)+~P20(x8373)+~P14(x8371,x8374)+~E(x8373,f131(x8374))+P14(f153(f153(x8371,x8372),f153(x8371,x8371)),x8373)
% 3.75/3.81 [891]~P20(x8914)+E(x8911,x8912)+P14(x8911,x8913)+~E(x8913,f134(x8914,x8912))+~P14(f153(f153(x8911,x8912),f153(x8911,x8911)),x8914)
% 3.75/3.81 [912]~P20(x9122)+~P14(x9124,x9123)+~P14(x9124,f5(x9122))+P14(x9121,f141(x9122,x9123))+~P14(f153(f153(x9124,x9121),f153(x9124,x9124)),x9122)
% 3.75/3.81 [913]~P20(x9132)+~P14(x9134,x9133)+~P14(x9134,f139(x9132))+P14(x9131,f145(x9132,x9133))+~P14(f153(f153(x9131,x9134),f153(x9131,x9131)),x9132)
% 3.75/3.81 [925]~P20(x9253)+~P20(x9254)+~E(x9253,f140(x9254))+~P14(f153(f153(x9252,x9251),f153(x9252,x9252)),x9254)+P14(f153(f153(x9251,x9252),f153(x9251,x9251)),x9253)
% 3.75/3.81 [926]~P20(x9263)+~P20(x9264)+~E(x9264,f140(x9263))+~P14(f153(f153(x9262,x9261),f153(x9262,x9262)),x9264)+P14(f153(f153(x9261,x9262),f153(x9261,x9261)),x9263)
% 3.75/3.81 [949]~P8(x9491)+~P20(x9491)+~P14(x9494,x9493)+~E(x9493,f141(x9491,x9492))+E(f2(x9491,f94(x9491,x9492,x9493,x9494)),x9494)
% 3.75/3.81 [958]~P20(x9583)+~P29(x9583)+~P14(f153(f153(x9581,x9584),f153(x9581,x9581)),x9583)+P14(f153(f153(x9581,x9582),f153(x9581,x9581)),x9583)+~P14(f153(f153(x9584,x9582),f153(x9584,x9584)),x9583)
% 3.75/3.81 [977]~P20(x9772)+~P14(x9774,x9773)+~P14(f44(x9772,x9773,x9771),x9771)+E(x9771,f141(x9772,x9773))+~P14(f153(f153(x9774,f44(x9772,x9773,x9771)),f153(x9774,x9774)),x9772)
% 3.75/3.81 [997]~P20(x9972)+~P14(x9974,x9973)+~P14(f46(x9972,x9973,x9971),x9971)+E(x9971,f145(x9972,x9973))+~P14(f153(f153(f46(x9972,x9973,x9971),x9974),f153(f46(x9972,x9973,x9971),f46(x9972,x9973,x9971))),x9972)
% 3.75/3.81 [775]~P14(x7751,x7755)+E(x7751,x7752)+E(x7751,x7753)+E(x7751,x7754)+~E(x7755,f155(x7754,x7753,x7752))
% 3.75/3.81 [894]~P20(x8944)+~P20(x8943)+P14(x8941,x8942)+~E(x8943,f143(x8944,x8942))+~P14(f153(f153(x8941,x8945),f153(x8941,x8941)),x8943)
% 3.75/3.81 [895]~P20(x8954)+~P20(x8953)+P14(x8951,x8952)+~E(x8953,f148(x8952,x8954))+~P14(f153(f153(x8955,x8951),f153(x8955,x8955)),x8953)
% 3.75/3.81 [905]~P20(x9053)+P14(x9051,x9052)+~P14(x9055,x9054)+~E(x9052,f141(x9053,x9054))+~P14(f153(f153(x9055,x9051),f153(x9055,x9055)),x9053)
% 3.75/3.81 [906]~P20(x9063)+P14(x9061,x9062)+~P14(x9065,x9064)+~E(x9062,f145(x9063,x9064))+~P14(f153(f153(x9061,x9065),f153(x9061,x9061)),x9063)
% 3.75/3.81 [931]~P20(x9314)+~P20(x9313)+~E(x9314,f143(x9313,x9315))+~P14(f153(f153(x9311,x9312),f153(x9311,x9311)),x9314)+P14(f153(f153(x9311,x9312),f153(x9311,x9311)),x9313)
% 3.75/3.81 [932]~P20(x9324)+~P20(x9323)+~E(x9324,f148(x9325,x9323))+~P14(f153(f153(x9321,x9322),f153(x9321,x9321)),x9324)+P14(f153(f153(x9321,x9322),f153(x9321,x9321)),x9323)
% 3.75/3.81 [937]~P14(x9375,x9373)+~P14(x9374,x9372)+~P14(f66(x9372,x9373,x9371),x9371)+E(x9371,f3(x9372,x9373))+~E(f66(x9372,x9373,x9371),f153(f153(x9374,x9375),f153(x9374,x9374)))
% 3.75/3.81 [840]~P14(x8406,x8404)+~P14(x8405,x8403)+P14(x8401,x8402)+~E(x8402,f3(x8403,x8404))+~E(x8401,f153(f153(x8405,x8406),f153(x8405,x8405)))
% 3.75/3.81 [709]P14(x7092,x7091)+P14(x7091,x7092)+~P14(x7092,x7093)+~P14(x7091,x7093)+E(x7091,x7092)+~P10(x7093)
% 3.75/3.81 [778]~P8(x7781)+~P20(x7781)+~P27(x7783,x7782,x7781)+P13(x7781)+~P20(x7782)+~P20(x7783)
% 3.75/3.81 [789]~P20(x7893)+~P20(x7891)+~P20(x7892)+~P27(x7892,x7891,x7893)+P11(x7891,x7892)+~P8(x7893)
% 3.75/3.81 [747]~P12(x7472)+~P12(x7473)+~P14(x7473,x7471)+~P26(x7471,x7472)+E(x7471,a1)+P22(f21(x7471,x7472),x7473)
% 3.75/3.81 [781]~P8(x7812)+~P20(x7811)+~P20(x7812)+~P27(x7811,x7813,x7812)+~P20(x7813)+E(f142(x7811),f5(x7812))
% 3.75/3.81 [782]~P8(x7821)+~P20(x7822)+~P20(x7821)+~P27(x7823,x7822,x7821)+~P20(x7823)+E(f139(x7821),f142(x7822))
% 3.75/3.81 [824]~P8(x8242)+~P20(x8242)+~P14(x8243,f5(x8242))+~P14(f90(x8242,x8241),x8241)+~E(f90(x8242,x8241),f2(x8242,x8243))+E(x8241,f139(x8242))
% 3.75/3.81 [835]~P8(x8353)+~P20(x8353)+~P20(x8351)+~P20(x8352)+~P27(x8352,x8351,x8353)+P27(x8351,x8352,f133(x8353))
% 3.75/3.81 [807]~P8(x8072)+~P8(x8071)+~P20(x8072)+~P20(x8071)+~P14(x8073,f5(x8071))+E(f2(f138(x8071,x8072),x8073),f2(x8072,f2(x8071,x8073)))
% 3.75/3.81 [826]~P8(x8262)+~P20(x8263)+~P20(x8262)+~P8(x8263)+P14(x8261,f5(x8262))+~P14(x8261,f5(f138(x8262,x8263)))
% 3.75/3.81 [838]~P8(x8383)+~P8(x8381)+~P20(x8383)+~P20(x8381)+P14(f2(x8381,x8382),f5(x8383))+~P14(x8382,f5(f138(x8381,x8383)))
% 3.75/3.81 [859]~P8(x8591)+~P8(x8592)+~P20(x8591)+~P20(x8592)+E(f2(f138(x8591,x8592),x8593),f2(x8592,f2(x8591,x8593)))+~P14(x8593,f5(f138(x8591,x8592)))
% 3.75/3.81 [968]~P8(x9682)+~P20(x9682)+~P14(f23(x9682,x9683,x9681),x9681)+~P14(f23(x9682,x9683,x9681),f5(x9682))+E(x9681,f145(x9682,x9683))+~P14(f2(x9682,f23(x9682,x9683,x9681)),x9683)
% 3.75/3.81 [772]~P8(x7722)+~P8(x7721)+~P20(x7722)+~P20(x7721)+~E(x7721,f143(x7722,x7723))+E(f5(x7721),f147(f5(x7722),f147(f5(x7722),x7723)))
% 3.75/3.81 [1001]~P20(x10011)+~P20(x10013)+~P20(x10012)+E(x10011,f138(x10012,x10013))+P14(f153(f153(f106(x10012,x10013,x10011),f108(x10012,x10013,x10011)),f153(f106(x10012,x10013,x10011),f106(x10012,x10013,x10011))),x10011)+P14(f153(f153(f106(x10012,x10013,x10011),f109(x10012,x10013,x10011)),f153(f106(x10012,x10013,x10011),f106(x10012,x10013,x10011))),x10012)
% 3.75/3.81 [1002]~P20(x10021)+~P20(x10023)+~P20(x10022)+E(x10021,f138(x10022,x10023))+P14(f153(f153(f106(x10022,x10023,x10021),f108(x10022,x10023,x10021)),f153(f106(x10022,x10023,x10021),f106(x10022,x10023,x10021))),x10021)+P14(f153(f153(f109(x10022,x10023,x10021),f108(x10022,x10023,x10021)),f153(f109(x10022,x10023,x10021),f109(x10022,x10023,x10021))),x10023)
% 3.75/3.81 [1005]~P20(x10051)+~P20(x10052)+~P14(f72(x10052,x10053,x10051),x10053)+E(x10051,f143(x10052,x10053))+~P14(f153(f153(f72(x10052,x10053,x10051),f83(x10052,x10053,x10051)),f153(f72(x10052,x10053,x10051),f72(x10052,x10053,x10051))),x10051)+~P14(f153(f153(f72(x10052,x10053,x10051),f83(x10052,x10053,x10051)),f153(f72(x10052,x10053,x10051),f72(x10052,x10053,x10051))),x10052)
% 3.75/3.81 [1006]~P20(x10061)+~P20(x10063)+~P14(f135(x10062,x10063,x10061),x10062)+E(x10061,f148(x10062,x10063))+~P14(f153(f153(f123(x10062,x10063,x10061),f135(x10062,x10063,x10061)),f153(f123(x10062,x10063,x10061),f123(x10062,x10063,x10061))),x10061)+~P14(f153(f153(f123(x10062,x10063,x10061),f135(x10062,x10063,x10061)),f153(f123(x10062,x10063,x10061),f123(x10062,x10063,x10061))),x10063)
% 3.75/3.81 [738]~P8(x7383)+~P20(x7383)+P14(x7381,x7382)+~P14(x7384,f5(x7383))+~E(x7381,f2(x7383,x7384))+~E(x7382,f139(x7383))
% 3.75/3.81 [816]~P8(x8163)+~P20(x8163)+P14(x8161,x8162)+~P14(x8161,f5(x8163))+~P14(f2(x8163,x8161),x8164)+~E(x8162,f145(x8163,x8164))
% 3.75/3.81 [858]~P14(x8582,x8584)+~P2(x8582,f136(x8581))+P14(f151(x8581,x8582),x8583)+~E(x8584,f4(x8581,x8583))+~P2(x8583,f136(f136(x8581)))+~P2(x8584,f136(f136(x8581)))
% 3.75/3.81 [861]P14(x8611,x8612)+~P2(x8611,f136(x8613))+~P14(f151(x8613,x8611),x8614)+~E(x8612,f4(x8613,x8614))+~P2(x8612,f136(f136(x8613)))+~P2(x8614,f136(f136(x8613)))
% 3.75/3.81 [933]~P20(x9333)+~P20(x9335)+~P14(x9332,x9334)+~E(x9333,f148(x9334,x9335))+~P14(f153(f153(x9331,x9332),f153(x9331,x9331)),x9335)+P14(f153(f153(x9331,x9332),f153(x9331,x9331)),x9333)
% 3.75/3.81 [934]~P20(x9343)+~P20(x9344)+~P14(x9341,x9345)+~E(x9343,f143(x9344,x9345))+~P14(f153(f153(x9341,x9342),f153(x9341,x9341)),x9344)+P14(f153(f153(x9341,x9342),f153(x9341,x9341)),x9343)
% 3.75/3.81 [1010]~P20(x10104)+~P20(x10103)+~P20(x10102)+~E(x10104,f138(x10102,x10103))+~P14(f153(f153(x10101,x10105),f153(x10101,x10101)),x10104)+P14(f153(f153(x10101,f107(x10102,x10103,x10104,x10101,x10105)),f153(x10101,x10101)),x10102)
% 3.75/3.81 [1011]~P20(x10113)+~P20(x10112)+~P20(x10111)+~E(x10113,f138(x10111,x10112))+~P14(f153(f153(x10114,x10115),f153(x10114,x10114)),x10113)+P14(f153(f153(f107(x10111,x10112,x10113,x10114,x10115),x10115),f153(f107(x10111,x10112,x10113,x10114,x10115),f107(x10111,x10112,x10113,x10114,x10115))),x10112)
% 3.75/3.81 [607]~P20(x6071)+~P4(x6071)+~P6(x6071)+~P29(x6071)+~P28(x6071)+~P23(x6071)+P24(x6071)
% 3.75/3.81 [802]~P20(x8021)+~P15(x8021,x8022)+~P16(x8021,x8022)+~P17(x8021,x8022)+~P18(x8021,x8022)+~P19(x8021,x8022)+P30(x8021,x8022)
% 3.75/3.81 [618]~P8(x6181)+~P8(x6182)+~P20(x6181)+~P20(x6182)+~P13(x6181)+~E(x6182,f133(x6181))+E(f139(x6181),f5(x6182))
% 3.75/3.81 [794]~P8(x7943)+~P20(x7943)+~P13(x7943)+E(x7941,x7942)+~P14(x7942,f5(x7943))+~P14(x7941,f5(x7943))+~E(f2(x7943,x7941),f2(x7943,x7942))
% 3.75/3.81 [850]~P8(x8503)+~P8(x8502)+~P20(x8503)+~P20(x8502)+~P14(x8501,f5(x8502))+~P14(f2(x8502,x8501),f5(x8503))+P14(x8501,f5(f138(x8502,x8503)))
% 3.75/3.81 [917]~P20(x9173)+~P6(x9173)+E(x9171,x9172)+~P14(x9172,f142(x9173))+~P14(x9171,f142(x9173))+P14(f153(f153(x9171,x9172),f153(x9171,x9171)),x9173)+P14(f153(f153(x9172,x9171),f153(x9172,x9172)),x9173)
% 3.75/3.81 [889]~P8(x8892)+~P8(x8891)+~P20(x8892)+~P20(x8891)+P14(f36(x8893,x8891,x8892),f5(x8891))+E(x8891,f143(x8892,x8893))+~E(f5(x8891),f147(f5(x8892),f147(f5(x8892),x8893)))
% 3.75/3.81 [942]~P8(x9422)+~P8(x9421)+~P20(x9422)+~P20(x9421)+E(x9421,f143(x9422,x9423))+~E(f2(x9421,f36(x9423,x9421,x9422)),f2(x9422,f36(x9423,x9421,x9422)))+~E(f5(x9421),f147(f5(x9422),f147(f5(x9422),x9423)))
% 3.75/3.81 [769]~P8(x7693)+~P8(x7691)+~P20(x7693)+~P20(x7691)+~P14(x7692,f5(x7691))+E(f2(x7691,x7692),f2(x7693,x7692))+~E(x7691,f143(x7693,x7694))
% 3.75/3.81 [920]~P8(x9202)+~P20(x9202)+~P14(x9204,x9203)+~P14(x9204,f5(x9202))+~P14(f99(x9202,x9203,x9201),x9201)+~E(f99(x9202,x9203,x9201),f2(x9202,x9204))+E(x9201,f141(x9202,x9203))
% 3.75/3.81 [916]~P20(x9163)+~P14(x9161,x9164)+~P16(x9163,x9164)+E(x9161,x9162)+~P14(x9162,x9164)+P14(f153(f153(x9161,x9162),f153(x9161,x9161)),x9163)+P14(f153(f153(x9162,x9161),f153(x9162,x9162)),x9163)
% 3.75/3.81 [943]~P14(x9431,x9434)+~P15(x9433,x9434)+E(x9431,x9432)+~P14(x9432,x9434)+~P20(x9433)+~P14(f153(f153(x9432,x9431),f153(x9432,x9432)),x9433)+~P14(f153(f153(x9431,x9432),f153(x9431,x9431)),x9433)
% 3.75/3.81 [1007]~P20(x10071)+~P20(x10073)+~P20(x10072)+E(x10071,f138(x10072,x10073))+~P14(f153(f153(x10074,f108(x10072,x10073,x10071)),f153(x10074,x10074)),x10073)+~P14(f153(f153(f106(x10072,x10073,x10071),x10074),f153(f106(x10072,x10073,x10071),f106(x10072,x10073,x10071))),x10072)+~P14(f153(f153(f106(x10072,x10073,x10071),f108(x10072,x10073,x10071)),f153(f106(x10072,x10073,x10071),f106(x10072,x10073,x10071))),x10071)
% 3.75/3.81 [791]~P8(x7913)+~P20(x7913)+~P14(x7915,x7914)+P14(x7911,x7912)+~P14(x7915,f5(x7913))+~E(x7912,f141(x7913,x7914))+~E(x7911,f2(x7913,x7915))
% 3.75/3.81 [973]~P8(x9731)+~P20(x9734)+~P20(x9731)+~P27(x9735,x9734,x9731)+~P20(x9735)+~P14(f153(f153(x9732,x9733),f153(x9732,x9732)),x9735)+P14(f153(f153(f2(x9731,x9732),f2(x9731,x9733)),f153(f2(x9731,x9732),f2(x9731,x9732))),x9734)
% 3.75/3.81 [964]~P20(x9643)+~P20(x9645)+~P20(x9644)+~E(x9643,f138(x9644,x9645))+~P14(f153(f153(x9641,x9646),f153(x9641,x9641)),x9644)+P14(f153(f153(x9641,x9642),f153(x9641,x9641)),x9643)+~P14(f153(f153(x9646,x9642),f153(x9646,x9646)),x9645)
% 3.75/3.81 [965]~P20(x9653)+~P14(x9651,x9654)+~P17(x9653,x9654)+~P14(x9652,x9654)+~P14(x9655,x9654)+~P14(f153(f153(x9655,x9652),f153(x9655,x9655)),x9653)+~P14(f153(f153(x9651,x9655),f153(x9651,x9651)),x9653)+P14(f153(f153(x9651,x9652),f153(x9651,x9651)),x9653)
% 3.75/3.81 [815]~P8(x8151)+~P8(x8152)+~P20(x8151)+~P20(x8152)+~P13(x8152)+P14(f26(x8152,x8151),f139(x8152))+P14(f27(x8152,x8151),f5(x8152))+~E(f139(x8152),f5(x8151))+E(x8151,f133(x8152))
% 3.75/3.81 [822]~P8(x8221)+~P8(x8222)+~P20(x8221)+~P20(x8222)+~P13(x8222)+P14(f27(x8222,x8221),f5(x8222))+~E(f139(x8222),f5(x8221))+E(x8221,f133(x8222))+E(f2(x8221,f26(x8222,x8221)),f28(x8222,x8221))
% 3.75/3.81 [823]~P8(x8231)+~P8(x8232)+~P20(x8231)+~P20(x8232)+~P13(x8232)+P14(f26(x8232,x8231),f139(x8232))+~E(f139(x8232),f5(x8231))+E(x8231,f133(x8232))+E(f2(x8232,f27(x8232,x8231)),f29(x8232,x8231))
% 3.75/3.81 [825]~P8(x8251)+~P8(x8252)+~P20(x8251)+~P20(x8252)+~P13(x8252)+~E(f139(x8252),f5(x8251))+E(x8251,f133(x8252))+E(f2(x8251,f26(x8252,x8251)),f28(x8252,x8251))+E(f2(x8252,f27(x8252,x8251)),f29(x8252,x8251))
% 3.75/3.81 [773]~P8(x7734)+~P8(x7732)+~P20(x7734)+~P20(x7732)+~P13(x7732)+~E(x7733,f2(x7734,x7731))+~P14(x7731,f139(x7732))+E(x7731,f2(x7732,x7733))+~E(x7734,f133(x7732))
% 3.75/3.81 [774]~P8(x7744)+~P8(x7742)+~P20(x7744)+~P20(x7742)+~P13(x7744)+~E(x7743,f2(x7744,x7741))+~P14(x7741,f5(x7744))+E(x7741,f2(x7742,x7743))+~E(x7742,f133(x7744))
% 3.75/3.81 [779]~P8(x7793)+~P8(x7792)+~P20(x7793)+~P20(x7792)+~P13(x7792)+~P14(x7794,f139(x7792))+P14(x7791,f5(x7792))+~E(x7791,f2(x7793,x7794))+~E(x7793,f133(x7792))
% 3.75/3.81 [780]~P8(x7803)+~P8(x7802)+~P20(x7803)+~P20(x7802)+~P13(x7802)+~P14(x7804,f5(x7802))+P14(x7801,f139(x7802))+~E(x7801,f2(x7802,x7804))+~E(x7803,f133(x7802))
% 3.75/3.81 [980]~P20(x9804)+~P20(x9803)+~P27(x9803,x9805,x9804)+~P8(x9804)+~P20(x9805)+~P14(x9802,f142(x9803))+~P14(x9801,f142(x9803))+P14(f153(f153(x9801,x9802),f153(x9801,x9801)),x9803)+~P14(f153(f153(f2(x9804,x9801),f2(x9804,x9802)),f153(f2(x9804,x9801),f2(x9804,x9801))),x9805)
% 3.75/3.81 [882]~P8(x8821)+~P8(x8822)+~P20(x8821)+~P20(x8822)+~P13(x8822)+P14(f26(x8822,x8821),f139(x8822))+~E(f139(x8822),f5(x8821))+~P14(f29(x8822,x8821),f139(x8822))+E(x8821,f133(x8822))+~E(f2(x8821,f29(x8822,x8821)),f27(x8822,x8821))
% 3.75/3.81 [883]~P8(x8831)+~P8(x8832)+~P20(x8831)+~P20(x8832)+~P13(x8832)+P14(f27(x8832,x8831),f5(x8832))+~E(f139(x8832),f5(x8831))+~P14(f28(x8832,x8831),f5(x8832))+E(x8831,f133(x8832))+~E(f2(x8832,f28(x8832,x8831)),f26(x8832,x8831))
% 3.75/3.81 [887]~P8(x8871)+~P8(x8872)+~P20(x8871)+~P20(x8872)+~P13(x8872)+~E(f139(x8872),f5(x8871))+~P14(f29(x8872,x8871),f139(x8872))+E(x8871,f133(x8872))+E(f2(x8871,f26(x8872,x8871)),f28(x8872,x8871))+~E(f2(x8871,f29(x8872,x8871)),f27(x8872,x8871))
% 3.75/3.81 [888]~P8(x8881)+~P8(x8882)+~P20(x8881)+~P20(x8882)+~P13(x8882)+~E(f139(x8882),f5(x8881))+~P14(f28(x8882,x8881),f5(x8882))+E(x8881,f133(x8882))+E(f2(x8882,f27(x8882,x8881)),f29(x8882,x8881))+~E(f2(x8882,f28(x8882,x8881)),f26(x8882,x8881))
% 3.75/3.81 [994]~P8(x9943)+~P20(x9943)+~P20(x9942)+~P20(x9941)+~P13(x9943)+P27(x9941,x9942,x9943)+P14(f102(x9941,x9942,x9943),f142(x9941))+~E(f142(x9941),f5(x9943))+~E(f139(x9943),f142(x9942))+P14(f153(f153(f102(x9941,x9942,x9943),f103(x9941,x9942,x9943)),f153(f102(x9941,x9942,x9943),f102(x9941,x9942,x9943))),x9941)
% 3.75/3.81 [995]~P8(x9953)+~P20(x9953)+~P20(x9952)+~P20(x9951)+~P13(x9953)+P27(x9951,x9952,x9953)+P14(f103(x9951,x9952,x9953),f142(x9951))+~E(f142(x9951),f5(x9953))+~E(f139(x9953),f142(x9952))+P14(f153(f153(f102(x9951,x9952,x9953),f103(x9951,x9952,x9953)),f153(f102(x9951,x9952,x9953),f102(x9951,x9952,x9953))),x9951)
% 3.75/3.81 [1004]~P8(x10043)+~P20(x10042)+~P20(x10041)+~P20(x10043)+~P13(x10043)+P27(x10041,x10042,x10043)+~E(f142(x10041),f5(x10043))+~E(f139(x10043),f142(x10042))+P14(f153(f153(f102(x10041,x10042,x10043),f103(x10041,x10042,x10043)),f153(f102(x10041,x10042,x10043),f102(x10041,x10042,x10043))),x10041)+P14(f153(f153(f2(x10043,f102(x10041,x10042,x10043)),f2(x10043,f103(x10041,x10042,x10043))),f153(f2(x10043,f102(x10041,x10042,x10043)),f2(x10043,f102(x10041,x10042,x10043)))),x10042)
% 3.75/3.81 [918]~P8(x9181)+~P8(x9182)+~P20(x9181)+~P20(x9182)+~P13(x9182)+~E(f139(x9182),f5(x9181))+~P14(f28(x9182,x9181),f5(x9182))+~P14(f29(x9182,x9181),f139(x9182))+E(x9181,f133(x9182))+~E(f2(x9182,f28(x9182,x9181)),f26(x9182,x9181))+~E(f2(x9181,f29(x9182,x9181)),f27(x9182,x9181))
% 3.75/3.81 [1009]~P8(x10093)+~P20(x10093)+~P20(x10092)+~P20(x10091)+~P13(x10093)+P27(x10091,x10092,x10093)+~E(f142(x10091),f5(x10093))+~E(f139(x10093),f142(x10092))+~P14(f102(x10091,x10092,x10093),f142(x10091))+~P14(f103(x10091,x10092,x10093),f142(x10091))+~P14(f153(f153(f102(x10091,x10092,x10093),f103(x10091,x10092,x10093)),f153(f102(x10091,x10092,x10093),f102(x10091,x10092,x10093))),x10091)+~P14(f153(f153(f2(x10093,f102(x10091,x10092,x10093)),f2(x10093,f103(x10091,x10092,x10093))),f153(f2(x10093,f102(x10091,x10092,x10093)),f2(x10093,f102(x10091,x10092,x10093)))),x10092)
% 3.75/3.81 %EqnAxiom
% 3.75/3.81 [1]E(x11,x11)
% 3.75/3.81 [2]E(x22,x21)+~E(x21,x22)
% 3.75/3.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.75/3.81 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 3.75/3.81 [5]~E(x51,x52)+E(f139(x51),f139(x52))
% 3.75/3.81 [6]~E(x61,x62)+E(f130(x61),f130(x62))
% 3.75/3.81 [7]~E(x71,x72)+E(f131(x71),f131(x72))
% 3.75/3.81 [8]~E(x81,x82)+E(f58(x81,x83,x84),f58(x82,x83,x84))
% 3.75/3.81 [9]~E(x91,x92)+E(f58(x93,x91,x94),f58(x93,x92,x94))
% 3.75/3.81 [10]~E(x101,x102)+E(f58(x103,x104,x101),f58(x103,x104,x102))
% 3.75/3.81 [11]~E(x111,x112)+E(f134(x111,x113),f134(x112,x113))
% 3.75/3.81 [12]~E(x121,x122)+E(f134(x123,x121),f134(x123,x122))
% 3.75/3.81 [13]~E(x131,x132)+E(f153(x131,x133),f153(x132,x133))
% 3.75/3.81 [14]~E(x141,x142)+E(f153(x143,x141),f153(x143,x142))
% 3.75/3.81 [15]~E(x151,x152)+E(f102(x151,x153,x154),f102(x152,x153,x154))
% 3.75/3.81 [16]~E(x161,x162)+E(f102(x163,x161,x164),f102(x163,x162,x164))
% 3.75/3.81 [17]~E(x171,x172)+E(f102(x173,x174,x171),f102(x173,x174,x172))
% 3.75/3.81 [18]~E(x181,x182)+E(f136(x181),f136(x182))
% 3.75/3.81 [19]~E(x191,x192)+E(f146(x191),f146(x192))
% 3.75/3.81 [20]~E(x201,x202)+E(f123(x201,x203,x204),f123(x202,x203,x204))
% 3.75/3.81 [21]~E(x211,x212)+E(f123(x213,x211,x214),f123(x213,x212,x214))
% 3.75/3.81 [22]~E(x221,x222)+E(f123(x223,x224,x221),f123(x223,x224,x222))
% 3.75/3.81 [23]~E(x231,x232)+E(f29(x231,x233),f29(x232,x233))
% 3.75/3.81 [24]~E(x241,x242)+E(f29(x243,x241),f29(x243,x242))
% 3.75/3.81 [25]~E(x251,x252)+E(f147(x251,x253),f147(x252,x253))
% 3.75/3.81 [26]~E(x261,x262)+E(f147(x263,x261),f147(x263,x262))
% 3.75/3.81 [27]~E(x271,x272)+E(f149(x271,x273),f149(x272,x273))
% 3.75/3.81 [28]~E(x281,x282)+E(f149(x283,x281),f149(x283,x282))
% 3.75/3.81 [29]~E(x291,x292)+E(f72(x291,x293,x294),f72(x292,x293,x294))
% 3.75/3.81 [30]~E(x301,x302)+E(f72(x303,x301,x304),f72(x303,x302,x304))
% 3.75/3.81 [31]~E(x311,x312)+E(f72(x313,x314,x311),f72(x313,x314,x312))
% 3.75/3.81 [32]~E(x321,x322)+E(f3(x321,x323),f3(x322,x323))
% 3.75/3.81 [33]~E(x331,x332)+E(f3(x333,x331),f3(x333,x332))
% 3.75/3.81 [34]~E(x341,x342)+E(f2(x341,x343),f2(x342,x343))
% 3.75/3.81 [35]~E(x351,x352)+E(f2(x353,x351),f2(x353,x352))
% 3.75/3.81 [36]~E(x361,x362)+E(f94(x361,x363,x364,x365),f94(x362,x363,x364,x365))
% 3.75/3.81 [37]~E(x371,x372)+E(f94(x373,x371,x374,x375),f94(x373,x372,x374,x375))
% 3.75/3.81 [38]~E(x381,x382)+E(f94(x383,x384,x381,x385),f94(x383,x384,x382,x385))
% 3.75/3.81 [39]~E(x391,x392)+E(f94(x393,x394,x395,x391),f94(x393,x394,x395,x392))
% 3.75/3.81 [40]~E(x401,x402)+E(f14(x401),f14(x402))
% 3.75/3.81 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 3.75/3.81 [42]~E(x421,x422)+E(f99(x421,x423,x424),f99(x422,x423,x424))
% 3.75/3.81 [43]~E(x431,x432)+E(f99(x433,x431,x434),f99(x433,x432,x434))
% 3.75/3.81 [44]~E(x441,x442)+E(f99(x443,x444,x441),f99(x443,x444,x442))
% 3.75/3.81 [45]~E(x451,x452)+E(f37(x451),f37(x452))
% 3.75/3.81 [46]~E(x461,x462)+E(f135(x461,x463,x464),f135(x462,x463,x464))
% 3.75/3.81 [47]~E(x471,x472)+E(f135(x473,x471,x474),f135(x473,x472,x474))
% 3.75/3.81 [48]~E(x481,x482)+E(f135(x483,x484,x481),f135(x483,x484,x482))
% 3.75/3.81 [49]~E(x491,x492)+E(f121(x491),f121(x492))
% 3.75/3.81 [50]~E(x501,x502)+E(f148(x501,x503),f148(x502,x503))
% 3.75/3.81 [51]~E(x511,x512)+E(f148(x513,x511),f148(x513,x512))
% 3.75/3.81 [52]~E(x521,x522)+E(f86(x521,x523),f86(x522,x523))
% 3.75/3.81 [53]~E(x531,x532)+E(f86(x533,x531),f86(x533,x532))
% 3.75/3.81 [54]~E(x541,x542)+E(f141(x541,x543),f141(x542,x543))
% 3.75/3.81 [55]~E(x551,x552)+E(f141(x553,x551),f141(x553,x552))
% 3.75/3.81 [56]~E(x561,x562)+E(f79(x561,x563),f79(x562,x563))
% 3.75/3.81 [57]~E(x571,x572)+E(f79(x573,x571),f79(x573,x572))
% 3.75/3.81 [58]~E(x581,x582)+E(f67(x581,x583,x584),f67(x582,x583,x584))
% 3.75/3.81 [59]~E(x591,x592)+E(f67(x593,x591,x594),f67(x593,x592,x594))
% 3.75/3.81 [60]~E(x601,x602)+E(f67(x603,x604,x601),f67(x603,x604,x602))
% 3.75/3.81 [61]~E(x611,x612)+E(f83(x611,x613,x614),f83(x612,x613,x614))
% 3.75/3.81 [62]~E(x621,x622)+E(f83(x623,x621,x624),f83(x623,x622,x624))
% 3.75/3.81 [63]~E(x631,x632)+E(f83(x633,x634,x631),f83(x633,x634,x632))
% 3.75/3.81 [64]~E(x641,x642)+E(f103(x641,x643,x644),f103(x642,x643,x644))
% 3.75/3.81 [65]~E(x651,x652)+E(f103(x653,x651,x654),f103(x653,x652,x654))
% 3.75/3.81 [66]~E(x661,x662)+E(f103(x663,x664,x661),f103(x663,x664,x662))
% 3.75/3.81 [67]~E(x671,x672)+E(f105(x671,x673),f105(x672,x673))
% 3.75/3.81 [68]~E(x681,x682)+E(f105(x683,x681),f105(x683,x682))
% 3.75/3.81 [69]~E(x691,x692)+E(f36(x691,x693,x694),f36(x692,x693,x694))
% 3.75/3.81 [70]~E(x701,x702)+E(f36(x703,x701,x704),f36(x703,x702,x704))
% 3.75/3.81 [71]~E(x711,x712)+E(f36(x713,x714,x711),f36(x713,x714,x712))
% 3.75/3.81 [72]~E(x721,x722)+E(f143(x721,x723),f143(x722,x723))
% 3.75/3.81 [73]~E(x731,x732)+E(f143(x733,x731),f143(x733,x732))
% 3.75/3.81 [74]~E(x741,x742)+E(f52(x741,x743),f52(x742,x743))
% 3.75/3.81 [75]~E(x751,x752)+E(f52(x753,x751),f52(x753,x752))
% 3.75/3.81 [76]~E(x761,x762)+E(f85(x761,x763),f85(x762,x763))
% 3.75/3.81 [77]~E(x771,x772)+E(f85(x773,x771),f85(x773,x772))
% 3.75/3.81 [78]~E(x781,x782)+E(f19(x781,x783,x784),f19(x782,x783,x784))
% 3.75/3.81 [79]~E(x791,x792)+E(f19(x793,x791,x794),f19(x793,x792,x794))
% 3.75/3.81 [80]~E(x801,x802)+E(f19(x803,x804,x801),f19(x803,x804,x802))
% 3.75/3.81 [81]~E(x811,x812)+E(f27(x811,x813),f27(x812,x813))
% 3.75/3.81 [82]~E(x821,x822)+E(f27(x823,x821),f27(x823,x822))
% 3.75/3.81 [83]~E(x831,x832)+E(f28(x831,x833),f28(x832,x833))
% 3.75/3.81 [84]~E(x841,x842)+E(f28(x843,x841),f28(x843,x842))
% 3.75/3.81 [85]~E(x851,x852)+E(f26(x851,x853),f26(x852,x853))
% 3.75/3.81 [86]~E(x861,x862)+E(f26(x863,x861),f26(x863,x862))
% 3.75/3.81 [87]~E(x871,x872)+E(f80(x871,x873,x874),f80(x872,x873,x874))
% 3.75/3.81 [88]~E(x881,x882)+E(f80(x883,x881,x884),f80(x883,x882,x884))
% 3.75/3.81 [89]~E(x891,x892)+E(f80(x893,x894,x891),f80(x893,x894,x892))
% 3.75/3.81 [90]~E(x901,x902)+E(f63(x901,x903),f63(x902,x903))
% 3.75/3.81 [91]~E(x911,x912)+E(f63(x913,x911),f63(x913,x912))
% 3.75/3.81 [92]~E(x921,x922)+E(f114(x921),f114(x922))
% 3.75/3.81 [93]~E(x931,x932)+E(f145(x931,x933),f145(x932,x933))
% 3.75/3.81 [94]~E(x941,x942)+E(f145(x943,x941),f145(x943,x942))
% 3.75/3.81 [95]~E(x951,x952)+E(f133(x951),f133(x952))
% 3.75/3.81 [96]~E(x961,x962)+E(f142(x961),f142(x962))
% 3.75/3.81 [97]~E(x971,x972)+E(f92(x971,x973,x974),f92(x972,x973,x974))
% 3.75/3.81 [98]~E(x981,x982)+E(f92(x983,x981,x984),f92(x983,x982,x984))
% 3.75/3.81 [99]~E(x991,x992)+E(f92(x993,x994,x991),f92(x993,x994,x992))
% 3.75/3.81 [100]~E(x1001,x1002)+E(f4(x1001,x1003),f4(x1002,x1003))
% 3.75/3.81 [101]~E(x1011,x1012)+E(f4(x1013,x1011),f4(x1013,x1012))
% 3.75/3.81 [102]~E(x1021,x1022)+E(f120(x1021),f120(x1022))
% 3.75/3.81 [103]~E(x1031,x1032)+E(f49(x1031,x1033),f49(x1032,x1033))
% 3.75/3.81 [104]~E(x1041,x1042)+E(f49(x1043,x1041),f49(x1043,x1042))
% 3.75/3.81 [105]~E(x1051,x1052)+E(f115(x1051),f115(x1052))
% 3.75/3.81 [106]~E(x1061,x1062)+E(f87(x1061,x1063),f87(x1062,x1063))
% 3.75/3.81 [107]~E(x1071,x1072)+E(f87(x1073,x1071),f87(x1073,x1072))
% 3.75/3.81 [108]~E(x1081,x1082)+E(f144(x1081,x1083),f144(x1082,x1083))
% 3.75/3.81 [109]~E(x1091,x1092)+E(f144(x1093,x1091),f144(x1093,x1092))
% 3.75/3.81 [110]~E(x1101,x1102)+E(f76(x1101,x1103),f76(x1102,x1103))
% 3.75/3.81 [111]~E(x1111,x1112)+E(f76(x1113,x1111),f76(x1113,x1112))
% 3.75/3.81 [112]~E(x1121,x1122)+E(f17(x1121,x1123),f17(x1122,x1123))
% 3.75/3.81 [113]~E(x1131,x1132)+E(f17(x1133,x1131),f17(x1133,x1132))
% 3.75/3.81 [114]~E(x1141,x1142)+E(f82(x1141,x1143),f82(x1142,x1143))
% 3.75/3.81 [115]~E(x1151,x1152)+E(f82(x1153,x1151),f82(x1153,x1152))
% 3.75/3.81 [116]~E(x1161,x1162)+E(f46(x1161,x1163,x1164),f46(x1162,x1163,x1164))
% 3.75/3.81 [117]~E(x1171,x1172)+E(f46(x1173,x1171,x1174),f46(x1173,x1172,x1174))
% 3.75/3.81 [118]~E(x1181,x1182)+E(f46(x1183,x1184,x1181),f46(x1183,x1184,x1182))
% 3.75/3.81 [119]~E(x1191,x1192)+E(f150(x1191),f150(x1192))
% 3.75/3.81 [120]~E(x1201,x1202)+E(f34(x1201),f34(x1202))
% 3.75/3.81 [121]~E(x1211,x1212)+E(f15(x1211),f15(x1212))
% 3.75/3.81 [122]~E(x1221,x1222)+E(f66(x1221,x1223,x1224),f66(x1222,x1223,x1224))
% 3.75/3.81 [123]~E(x1231,x1232)+E(f66(x1233,x1231,x1234),f66(x1233,x1232,x1234))
% 3.75/3.81 [124]~E(x1241,x1242)+E(f66(x1243,x1244,x1241),f66(x1243,x1244,x1242))
% 3.75/3.81 [125]~E(x1251,x1252)+E(f119(x1251),f119(x1252))
% 3.75/3.81 [126]~E(x1261,x1262)+E(f31(x1261,x1263,x1264,x1265),f31(x1262,x1263,x1264,x1265))
% 3.75/3.81 [127]~E(x1271,x1272)+E(f31(x1273,x1271,x1274,x1275),f31(x1273,x1272,x1274,x1275))
% 3.75/3.81 [128]~E(x1281,x1282)+E(f31(x1283,x1284,x1281,x1285),f31(x1283,x1284,x1282,x1285))
% 3.75/3.81 [129]~E(x1291,x1292)+E(f31(x1293,x1294,x1295,x1291),f31(x1293,x1294,x1295,x1292))
% 3.75/3.81 [130]~E(x1301,x1302)+E(f38(x1301),f38(x1302))
% 3.75/3.81 [131]~E(x1311,x1312)+E(f39(x1311),f39(x1312))
% 3.75/3.81 [132]~E(x1321,x1322)+E(f48(x1321,x1323,x1324),f48(x1322,x1323,x1324))
% 3.75/3.81 [133]~E(x1331,x1332)+E(f48(x1333,x1331,x1334),f48(x1333,x1332,x1334))
% 3.75/3.81 [134]~E(x1341,x1342)+E(f48(x1343,x1344,x1341),f48(x1343,x1344,x1342))
% 3.75/3.81 [135]~E(x1351,x1352)+E(f100(x1351,x1353),f100(x1352,x1353))
% 3.75/3.81 [136]~E(x1361,x1362)+E(f100(x1363,x1361),f100(x1363,x1362))
% 3.75/3.81 [137]~E(x1371,x1372)+E(f140(x1371),f140(x1372))
% 3.75/3.81 [138]~E(x1381,x1382)+E(f53(x1381,x1383),f53(x1382,x1383))
% 3.75/3.81 [139]~E(x1391,x1392)+E(f53(x1393,x1391),f53(x1393,x1392))
% 3.75/3.81 [140]~E(x1401,x1402)+E(f95(x1401,x1403),f95(x1402,x1403))
% 3.75/3.81 [141]~E(x1411,x1412)+E(f95(x1413,x1411),f95(x1413,x1412))
% 3.75/3.81 [142]~E(x1421,x1422)+E(f101(x1421,x1423),f101(x1422,x1423))
% 3.75/3.81 [143]~E(x1431,x1432)+E(f101(x1433,x1431),f101(x1433,x1432))
% 3.75/3.81 [144]~E(x1441,x1442)+E(f138(x1441,x1443),f138(x1442,x1443))
% 3.75/3.81 [145]~E(x1451,x1452)+E(f138(x1453,x1451),f138(x1453,x1452))
% 3.75/3.81 [146]~E(x1461,x1462)+E(f88(x1461,x1463,x1464),f88(x1462,x1463,x1464))
% 3.75/3.81 [147]~E(x1471,x1472)+E(f88(x1473,x1471,x1474),f88(x1473,x1472,x1474))
% 3.75/3.81 [148]~E(x1481,x1482)+E(f88(x1483,x1484,x1481),f88(x1483,x1484,x1482))
% 3.75/3.81 [149]~E(x1491,x1492)+E(f90(x1491,x1493),f90(x1492,x1493))
% 3.75/3.81 [150]~E(x1501,x1502)+E(f90(x1503,x1501),f90(x1503,x1502))
% 3.75/3.81 [151]~E(x1511,x1512)+E(f118(x1511),f118(x1512))
% 3.75/3.81 [152]~E(x1521,x1522)+E(f122(x1521,x1523),f122(x1522,x1523))
% 3.75/3.81 [153]~E(x1531,x1532)+E(f122(x1533,x1531),f122(x1533,x1532))
% 3.75/3.81 [154]~E(x1541,x1542)+E(f54(x1541,x1543),f54(x1542,x1543))
% 3.75/3.81 [155]~E(x1551,x1552)+E(f54(x1553,x1551),f54(x1553,x1552))
% 3.75/3.81 [156]~E(x1561,x1562)+E(f106(x1561,x1563,x1564),f106(x1562,x1563,x1564))
% 3.75/3.81 [157]~E(x1571,x1572)+E(f106(x1573,x1571,x1574),f106(x1573,x1572,x1574))
% 3.75/3.81 [158]~E(x1581,x1582)+E(f106(x1583,x1584,x1581),f106(x1583,x1584,x1582))
% 3.75/3.81 [159]~E(x1591,x1592)+E(f98(x1591,x1593),f98(x1592,x1593))
% 3.75/3.81 [160]~E(x1601,x1602)+E(f98(x1603,x1601),f98(x1603,x1602))
% 3.75/3.81 [161]~E(x1611,x1612)+E(f93(x1611,x1613),f93(x1612,x1613))
% 3.75/3.81 [162]~E(x1621,x1622)+E(f93(x1623,x1621),f93(x1623,x1622))
% 3.75/3.81 [163]~E(x1631,x1632)+E(f22(x1631,x1633),f22(x1632,x1633))
% 3.75/3.81 [164]~E(x1641,x1642)+E(f22(x1643,x1641),f22(x1643,x1642))
% 3.75/3.81 [165]~E(x1651,x1652)+E(f40(x1651),f40(x1652))
% 3.75/3.81 [166]~E(x1661,x1662)+E(f126(x1661),f126(x1662))
% 3.75/3.81 [167]~E(x1671,x1672)+E(f110(x1671,x1673),f110(x1672,x1673))
% 3.75/3.81 [168]~E(x1681,x1682)+E(f110(x1683,x1681),f110(x1683,x1682))
% 3.75/3.81 [169]~E(x1691,x1692)+E(f45(x1691,x1693,x1694),f45(x1692,x1693,x1694))
% 3.75/3.81 [170]~E(x1701,x1702)+E(f45(x1703,x1701,x1704),f45(x1703,x1702,x1704))
% 3.75/3.81 [171]~E(x1711,x1712)+E(f45(x1713,x1714,x1711),f45(x1713,x1714,x1712))
% 3.75/3.81 [172]~E(x1721,x1722)+E(f107(x1721,x1723,x1724,x1725,x1726),f107(x1722,x1723,x1724,x1725,x1726))
% 3.75/3.81 [173]~E(x1731,x1732)+E(f107(x1733,x1731,x1734,x1735,x1736),f107(x1733,x1732,x1734,x1735,x1736))
% 3.75/3.81 [174]~E(x1741,x1742)+E(f107(x1743,x1744,x1741,x1745,x1746),f107(x1743,x1744,x1742,x1745,x1746))
% 3.75/3.81 [175]~E(x1751,x1752)+E(f107(x1753,x1754,x1755,x1751,x1756),f107(x1753,x1754,x1755,x1752,x1756))
% 3.75/3.81 [176]~E(x1761,x1762)+E(f107(x1763,x1764,x1765,x1766,x1761),f107(x1763,x1764,x1765,x1766,x1762))
% 3.75/3.81 [177]~E(x1771,x1772)+E(f151(x1771,x1773),f151(x1772,x1773))
% 3.75/3.81 [178]~E(x1781,x1782)+E(f151(x1783,x1781),f151(x1783,x1782))
% 3.75/3.81 [179]~E(x1791,x1792)+E(f155(x1791,x1793,x1794),f155(x1792,x1793,x1794))
% 3.75/3.81 [180]~E(x1801,x1802)+E(f155(x1803,x1801,x1804),f155(x1803,x1802,x1804))
% 3.75/3.81 [181]~E(x1811,x1812)+E(f155(x1813,x1814,x1811),f155(x1813,x1814,x1812))
% 3.75/3.81 [182]~E(x1821,x1822)+E(f71(x1821,x1823,x1824),f71(x1822,x1823,x1824))
% 3.75/3.81 [183]~E(x1831,x1832)+E(f71(x1833,x1831,x1834),f71(x1833,x1832,x1834))
% 3.75/3.81 [184]~E(x1841,x1842)+E(f71(x1843,x1844,x1841),f71(x1843,x1844,x1842))
% 3.75/3.81 [185]~E(x1851,x1852)+E(f41(x1851),f41(x1852))
% 3.75/3.81 [186]~E(x1861,x1862)+E(f152(x1861,x1863,x1864),f152(x1862,x1863,x1864))
% 3.75/3.81 [187]~E(x1871,x1872)+E(f152(x1873,x1871,x1874),f152(x1873,x1872,x1874))
% 3.75/3.81 [188]~E(x1881,x1882)+E(f152(x1883,x1884,x1881),f152(x1883,x1884,x1882))
% 3.75/3.81 [189]~E(x1891,x1892)+E(f24(x1891),f24(x1892))
% 3.75/3.81 [190]~E(x1901,x1902)+E(f75(x1901,x1903),f75(x1902,x1903))
% 3.75/3.81 [191]~E(x1911,x1912)+E(f75(x1913,x1911),f75(x1913,x1912))
% 3.75/3.81 [192]~E(x1921,x1922)+E(f60(x1921,x1923),f60(x1922,x1923))
% 3.75/3.81 [193]~E(x1931,x1932)+E(f60(x1933,x1931),f60(x1933,x1932))
% 3.75/3.81 [194]~E(x1941,x1942)+E(f113(x1941,x1943,x1944),f113(x1942,x1943,x1944))
% 3.75/3.81 [195]~E(x1951,x1952)+E(f113(x1953,x1951,x1954),f113(x1953,x1952,x1954))
% 3.75/3.81 [196]~E(x1961,x1962)+E(f113(x1963,x1964,x1961),f113(x1963,x1964,x1962))
% 3.75/3.81 [197]~E(x1971,x1972)+E(f43(x1971,x1973),f43(x1972,x1973))
% 3.75/3.81 [198]~E(x1981,x1982)+E(f43(x1983,x1981),f43(x1983,x1982))
% 3.75/3.81 [199]~E(x1991,x1992)+E(f64(x1991,x1993),f64(x1992,x1993))
% 3.75/3.81 [200]~E(x2001,x2002)+E(f64(x2003,x2001),f64(x2003,x2002))
% 3.75/3.81 [201]~E(x2011,x2012)+E(f50(x2011,x2013,x2014,x2015),f50(x2012,x2013,x2014,x2015))
% 3.75/3.81 [202]~E(x2021,x2022)+E(f50(x2023,x2021,x2024,x2025),f50(x2023,x2022,x2024,x2025))
% 3.75/3.81 [203]~E(x2031,x2032)+E(f50(x2033,x2034,x2031,x2035),f50(x2033,x2034,x2032,x2035))
% 3.75/3.81 [204]~E(x2041,x2042)+E(f50(x2043,x2044,x2045,x2041),f50(x2043,x2044,x2045,x2042))
% 3.75/3.81 [205]~E(x2051,x2052)+E(f16(x2051),f16(x2052))
% 3.75/3.81 [206]~E(x2061,x2062)+E(f59(x2061),f59(x2062))
% 3.75/3.81 [207]~E(x2071,x2072)+E(f108(x2071,x2073,x2074),f108(x2072,x2073,x2074))
% 3.75/3.81 [208]~E(x2081,x2082)+E(f108(x2083,x2081,x2084),f108(x2083,x2082,x2084))
% 3.75/3.81 [209]~E(x2091,x2092)+E(f108(x2093,x2094,x2091),f108(x2093,x2094,x2092))
% 3.75/3.81 [210]~E(x2101,x2102)+E(f77(x2101,x2103),f77(x2102,x2103))
% 3.75/3.81 [211]~E(x2111,x2112)+E(f77(x2113,x2111),f77(x2113,x2112))
% 3.75/3.81 [212]~E(x2121,x2122)+E(f42(x2121),f42(x2122))
% 3.75/3.81 [213]~E(x2131,x2132)+E(f44(x2131,x2133,x2134),f44(x2132,x2133,x2134))
% 3.75/3.81 [214]~E(x2141,x2142)+E(f44(x2143,x2141,x2144),f44(x2143,x2142,x2144))
% 3.75/3.81 [215]~E(x2151,x2152)+E(f44(x2153,x2154,x2151),f44(x2153,x2154,x2152))
% 3.75/3.81 [216]~E(x2161,x2162)+E(f89(x2161,x2163),f89(x2162,x2163))
% 3.75/3.81 [217]~E(x2171,x2172)+E(f89(x2173,x2171),f89(x2173,x2172))
% 3.75/3.81 [218]~E(x2181,x2182)+E(f117(x2181),f117(x2182))
% 3.75/3.81 [219]~E(x2191,x2192)+E(f68(x2191,x2193,x2194,x2195),f68(x2192,x2193,x2194,x2195))
% 3.75/3.81 [220]~E(x2201,x2202)+E(f68(x2203,x2201,x2204,x2205),f68(x2203,x2202,x2204,x2205))
% 3.75/3.81 [221]~E(x2211,x2212)+E(f68(x2213,x2214,x2211,x2215),f68(x2213,x2214,x2212,x2215))
% 3.75/3.81 [222]~E(x2221,x2222)+E(f68(x2223,x2224,x2225,x2221),f68(x2223,x2224,x2225,x2222))
% 3.75/3.81 [223]~E(x2231,x2232)+E(f62(x2231,x2233,x2234),f62(x2232,x2233,x2234))
% 3.75/3.81 [224]~E(x2241,x2242)+E(f62(x2243,x2241,x2244),f62(x2243,x2242,x2244))
% 3.75/3.81 [225]~E(x2251,x2252)+E(f62(x2253,x2254,x2251),f62(x2253,x2254,x2252))
% 3.75/3.81 [226]~E(x2261,x2262)+E(f112(x2261,x2263,x2264),f112(x2262,x2263,x2264))
% 3.75/3.81 [227]~E(x2271,x2272)+E(f112(x2273,x2271,x2274),f112(x2273,x2272,x2274))
% 3.75/3.81 [228]~E(x2281,x2282)+E(f112(x2283,x2284,x2281),f112(x2283,x2284,x2282))
% 3.75/3.81 [229]~E(x2291,x2292)+E(f116(x2291),f116(x2292))
% 3.75/3.81 [230]~E(x2301,x2302)+E(f111(x2301,x2303),f111(x2302,x2303))
% 3.75/3.81 [231]~E(x2311,x2312)+E(f111(x2313,x2311),f111(x2313,x2312))
% 3.75/3.81 [232]~E(x2321,x2322)+E(f96(x2321,x2323,x2324),f96(x2322,x2323,x2324))
% 3.75/3.81 [233]~E(x2331,x2332)+E(f96(x2333,x2331,x2334),f96(x2333,x2332,x2334))
% 3.75/3.81 [234]~E(x2341,x2342)+E(f96(x2343,x2344,x2341),f96(x2343,x2344,x2342))
% 3.75/3.81 [235]~E(x2351,x2352)+E(f91(x2351,x2353,x2354),f91(x2352,x2353,x2354))
% 3.75/3.81 [236]~E(x2361,x2362)+E(f91(x2363,x2361,x2364),f91(x2363,x2362,x2364))
% 3.75/3.81 [237]~E(x2371,x2372)+E(f91(x2373,x2374,x2371),f91(x2373,x2374,x2372))
% 3.75/3.81 [238]~E(x2381,x2382)+E(f154(x2381,x2383),f154(x2382,x2383))
% 3.75/3.81 [239]~E(x2391,x2392)+E(f154(x2393,x2391),f154(x2393,x2392))
% 3.75/3.81 [240]~E(x2401,x2402)+E(f73(x2401),f73(x2402))
% 3.75/3.81 [241]~E(x2411,x2412)+E(f104(x2411),f104(x2412))
% 3.75/3.81 [242]~E(x2421,x2422)+E(f78(x2421,x2423,x2424),f78(x2422,x2423,x2424))
% 3.75/3.81 [243]~E(x2431,x2432)+E(f78(x2433,x2431,x2434),f78(x2433,x2432,x2434))
% 3.75/3.81 [244]~E(x2441,x2442)+E(f78(x2443,x2444,x2441),f78(x2443,x2444,x2442))
% 3.75/3.81 [245]~E(x2451,x2452)+E(f56(x2451,x2453,x2454),f56(x2452,x2453,x2454))
% 3.75/3.81 [246]~E(x2461,x2462)+E(f56(x2463,x2461,x2464),f56(x2463,x2462,x2464))
% 3.75/3.81 [247]~E(x2471,x2472)+E(f56(x2473,x2474,x2471),f56(x2473,x2474,x2472))
% 3.75/3.81 [248]~E(x2481,x2482)+E(f84(x2481,x2483),f84(x2482,x2483))
% 3.75/3.81 [249]~E(x2491,x2492)+E(f84(x2493,x2491),f84(x2493,x2492))
% 3.75/3.81 [250]~E(x2501,x2502)+E(f23(x2501,x2503,x2504),f23(x2502,x2503,x2504))
% 3.75/3.81 [251]~E(x2511,x2512)+E(f23(x2513,x2511,x2514),f23(x2513,x2512,x2514))
% 3.75/3.81 [252]~E(x2521,x2522)+E(f23(x2523,x2524,x2521),f23(x2523,x2524,x2522))
% 3.75/3.81 [253]~E(x2531,x2532)+E(f65(x2531,x2533),f65(x2532,x2533))
% 3.75/3.81 [254]~E(x2541,x2542)+E(f65(x2543,x2541),f65(x2543,x2542))
% 3.75/3.81 [255]~E(x2551,x2552)+E(f109(x2551,x2553,x2554),f109(x2552,x2553,x2554))
% 3.75/3.81 [256]~E(x2561,x2562)+E(f109(x2563,x2561,x2564),f109(x2563,x2562,x2564))
% 3.75/3.81 [257]~E(x2571,x2572)+E(f109(x2573,x2574,x2571),f109(x2573,x2574,x2572))
% 3.75/3.81 [258]~E(x2581,x2582)+E(f97(x2581,x2583),f97(x2582,x2583))
% 3.75/3.81 [259]~E(x2591,x2592)+E(f97(x2593,x2591),f97(x2593,x2592))
% 3.75/3.81 [260]~E(x2601,x2602)+E(f25(x2601,x2603),f25(x2602,x2603))
% 3.75/3.81 [261]~E(x2611,x2612)+E(f25(x2613,x2611),f25(x2613,x2612))
% 3.75/3.81 [262]~E(x2621,x2622)+E(f57(x2621,x2623),f57(x2622,x2623))
% 3.75/3.81 [263]~E(x2631,x2632)+E(f57(x2633,x2631),f57(x2633,x2632))
% 3.75/3.81 [264]~E(x2641,x2642)+E(f55(x2641,x2643),f55(x2642,x2643))
% 3.75/3.81 [265]~E(x2651,x2652)+E(f55(x2653,x2651),f55(x2653,x2652))
% 3.75/3.81 [266]~E(x2661,x2662)+E(f21(x2661,x2663),f21(x2662,x2663))
% 3.75/3.81 [267]~E(x2671,x2672)+E(f21(x2673,x2671),f21(x2673,x2672))
% 3.75/3.81 [268]~E(x2681,x2682)+E(f20(x2681,x2683),f20(x2682,x2683))
% 3.75/3.81 [269]~E(x2691,x2692)+E(f20(x2693,x2691),f20(x2693,x2692))
% 3.75/3.81 [270]~E(x2701,x2702)+E(f18(x2701,x2703,x2704),f18(x2702,x2703,x2704))
% 3.75/3.81 [271]~E(x2711,x2712)+E(f18(x2713,x2711,x2714),f18(x2713,x2712,x2714))
% 3.75/3.81 [272]~E(x2721,x2722)+E(f18(x2723,x2724,x2721),f18(x2723,x2724,x2722))
% 3.75/3.81 [273]~E(x2731,x2732)+E(f70(x2731,x2733,x2734),f70(x2732,x2733,x2734))
% 3.75/3.81 [274]~E(x2741,x2742)+E(f70(x2743,x2741,x2744),f70(x2743,x2742,x2744))
% 3.75/3.81 [275]~E(x2751,x2752)+E(f70(x2753,x2754,x2751),f70(x2753,x2754,x2752))
% 3.75/3.81 [276]~E(x2761,x2762)+E(f74(x2761,x2763),f74(x2762,x2763))
% 3.75/3.81 [277]~E(x2771,x2772)+E(f74(x2773,x2771),f74(x2773,x2772))
% 3.75/3.81 [278]~E(x2781,x2782)+E(f69(x2781,x2783,x2784,x2785),f69(x2782,x2783,x2784,x2785))
% 3.75/3.81 [279]~E(x2791,x2792)+E(f69(x2793,x2791,x2794,x2795),f69(x2793,x2792,x2794,x2795))
% 3.75/3.81 [280]~E(x2801,x2802)+E(f69(x2803,x2804,x2801,x2805),f69(x2803,x2804,x2802,x2805))
% 3.75/3.81 [281]~E(x2811,x2812)+E(f69(x2813,x2814,x2815,x2811),f69(x2813,x2814,x2815,x2812))
% 3.75/3.81 [282]~E(x2821,x2822)+E(f47(x2821,x2823,x2824,x2825),f47(x2822,x2823,x2824,x2825))
% 3.75/3.81 [283]~E(x2831,x2832)+E(f47(x2833,x2831,x2834,x2835),f47(x2833,x2832,x2834,x2835))
% 3.75/3.81 [284]~E(x2841,x2842)+E(f47(x2843,x2844,x2841,x2845),f47(x2843,x2844,x2842,x2845))
% 3.75/3.81 [285]~E(x2851,x2852)+E(f47(x2853,x2854,x2855,x2851),f47(x2853,x2854,x2855,x2852))
% 3.75/3.81 [286]~E(x2861,x2862)+E(f137(x2861,x2863),f137(x2862,x2863))
% 3.75/3.81 [287]~E(x2871,x2872)+E(f137(x2873,x2871),f137(x2873,x2872))
% 3.75/3.81 [288]~E(x2881,x2882)+E(f61(x2881,x2883),f61(x2882,x2883))
% 3.75/3.81 [289]~E(x2891,x2892)+E(f61(x2893,x2891),f61(x2893,x2892))
% 3.75/3.81 [290]~E(x2901,x2902)+E(f81(x2901,x2903,x2904),f81(x2902,x2903,x2904))
% 3.75/3.81 [291]~E(x2911,x2912)+E(f81(x2913,x2911,x2914),f81(x2913,x2912,x2914))
% 3.75/3.81 [292]~E(x2921,x2922)+E(f81(x2923,x2924,x2921),f81(x2923,x2924,x2922))
% 3.75/3.81 [293]~E(x2931,x2932)+E(f33(x2931,x2933),f33(x2932,x2933))
% 3.75/3.81 [294]~E(x2941,x2942)+E(f33(x2943,x2941),f33(x2943,x2942))
% 3.75/3.81 [295]~E(x2951,x2952)+E(f51(x2951,x2953),f51(x2952,x2953))
% 3.75/3.81 [296]~E(x2961,x2962)+E(f51(x2963,x2961),f51(x2963,x2962))
% 3.75/3.81 [297]~E(x2971,x2972)+E(f35(x2971),f35(x2972))
% 3.75/3.81 [298]~P1(x2981)+P1(x2982)+~E(x2981,x2982)
% 3.75/3.81 [299]P14(x2992,x2993)+~E(x2991,x2992)+~P14(x2991,x2993)
% 3.75/3.81 [300]P14(x3003,x3002)+~E(x3001,x3002)+~P14(x3003,x3001)
% 3.75/3.81 [301]~P20(x3011)+P20(x3012)+~E(x3011,x3012)
% 3.75/3.81 [302]P26(x3022,x3023)+~E(x3021,x3022)+~P26(x3021,x3023)
% 3.75/3.81 [303]P26(x3033,x3032)+~E(x3031,x3032)+~P26(x3033,x3031)
% 3.75/3.81 [304]P19(x3042,x3043)+~E(x3041,x3042)+~P19(x3041,x3043)
% 3.75/3.81 [305]P19(x3053,x3052)+~E(x3051,x3052)+~P19(x3053,x3051)
% 3.75/3.81 [306]P27(x3062,x3063,x3064)+~E(x3061,x3062)+~P27(x3061,x3063,x3064)
% 3.75/3.81 [307]P27(x3073,x3072,x3074)+~E(x3071,x3072)+~P27(x3073,x3071,x3074)
% 3.75/3.81 [308]P27(x3083,x3084,x3082)+~E(x3081,x3082)+~P27(x3083,x3084,x3081)
% 3.75/3.81 [309]~P8(x3091)+P8(x3092)+~E(x3091,x3092)
% 3.75/3.81 [310]P22(x3102,x3103)+~E(x3101,x3102)+~P22(x3101,x3103)
% 3.75/3.81 [311]P22(x3113,x3112)+~E(x3111,x3112)+~P22(x3113,x3111)
% 3.75/3.81 [312]P2(x3122,x3123)+~E(x3121,x3122)+~P2(x3121,x3123)
% 3.75/3.81 [313]P2(x3133,x3132)+~E(x3131,x3132)+~P2(x3133,x3131)
% 3.75/3.81 [314]P7(x3142,x3143)+~E(x3141,x3142)+~P7(x3141,x3143)
% 3.75/3.81 [315]P7(x3153,x3152)+~E(x3151,x3152)+~P7(x3153,x3151)
% 3.75/3.81 [316]P17(x3162,x3163)+~E(x3161,x3162)+~P17(x3161,x3163)
% 3.75/3.81 [317]P17(x3173,x3172)+~E(x3171,x3172)+~P17(x3173,x3171)
% 3.75/3.81 [318]~P12(x3181)+P12(x3182)+~E(x3181,x3182)
% 3.75/3.81 [319]~P4(x3191)+P4(x3192)+~E(x3191,x3192)
% 3.75/3.81 [320]~P24(x3201)+P24(x3202)+~E(x3201,x3202)
% 3.75/3.81 [321]P30(x3212,x3213)+~E(x3211,x3212)+~P30(x3211,x3213)
% 3.75/3.81 [322]P30(x3223,x3222)+~E(x3221,x3222)+~P30(x3223,x3221)
% 3.75/3.81 [323]P15(x3232,x3233)+~E(x3231,x3232)+~P15(x3231,x3233)
% 3.75/3.81 [324]P15(x3243,x3242)+~E(x3241,x3242)+~P15(x3243,x3241)
% 3.75/3.81 [325]~P23(x3251)+P23(x3252)+~E(x3251,x3252)
% 3.75/3.81 [326]P16(x3262,x3263)+~E(x3261,x3262)+~P16(x3261,x3263)
% 3.75/3.81 [327]P16(x3273,x3272)+~E(x3271,x3272)+~P16(x3273,x3271)
% 3.75/3.81 [328]~P9(x3281)+P9(x3282)+~E(x3281,x3282)
% 3.75/3.81 [329]~P28(x3291)+P28(x3292)+~E(x3291,x3292)
% 3.75/3.81 [330]~P6(x3301)+P6(x3302)+~E(x3301,x3302)
% 3.75/3.81 [331]~P29(x3311)+P29(x3312)+~E(x3311,x3312)
% 3.75/3.81 [332]~P13(x3321)+P13(x3322)+~E(x3321,x3322)
% 3.75/3.81 [333]~P10(x3331)+P10(x3332)+~E(x3331,x3332)
% 3.75/3.81 [334]P11(x3342,x3343)+~E(x3341,x3342)+~P11(x3341,x3343)
% 3.75/3.81 [335]P11(x3353,x3352)+~E(x3351,x3352)+~P11(x3353,x3351)
% 3.75/3.81 [336]~P3(x3361)+P3(x3362)+~E(x3361,x3362)
% 3.75/3.81 [337]P18(x3372,x3373)+~E(x3371,x3372)+~P18(x3371,x3373)
% 3.75/3.81 [338]P18(x3383,x3382)+~E(x3381,x3382)+~P18(x3383,x3381)
% 3.75/3.81 [339]~P25(x3391)+P25(x3392)+~E(x3391,x3392)
% 3.75/3.81 [340]P21(x3402,x3403)+~E(x3401,x3402)+~P21(x3401,x3403)
% 3.75/3.81 [341]P21(x3413,x3412)+~E(x3411,x3412)+~P21(x3413,x3411)
% 3.75/3.81 [342]P5(x3422,x3423)+~E(x3421,x3422)+~P5(x3421,x3423)
% 3.75/3.81 [343]P5(x3433,x3432)+~E(x3431,x3432)+~P5(x3433,x3431)
% 3.75/3.81
% 3.75/3.81 %-------------------------------------------
% 3.75/3.82 cnf(1013,plain,
% 3.75/3.82 (~P14(f14(x10131),x10131)),
% 3.75/3.82 inference(scs_inference,[],[344,409,2,592])).
% 3.75/3.82 cnf(1015,plain,
% 3.75/3.82 (~P14(x10151,a1)),
% 3.75/3.82 inference(scs_inference,[],[349,344,409,2,592,503])).
% 3.75/3.82 cnf(1019,plain,
% 3.75/3.82 (~P14(x10191,f5(a1))),
% 3.75/3.82 inference(scs_inference,[],[349,344,409,2,592,503,496,494])).
% 3.75/3.82 cnf(1024,plain,
% 3.75/3.82 (P26(x10241,x10241)),
% 3.75/3.82 inference(rename_variables,[],[407])).
% 3.75/3.82 cnf(1027,plain,
% 3.75/3.82 (P26(x10271,x10271)),
% 3.75/3.82 inference(rename_variables,[],[407])).
% 3.75/3.82 cnf(1030,plain,
% 3.75/3.82 (P2(f37(x10301),x10301)),
% 3.75/3.82 inference(rename_variables,[],[412])).
% 3.75/3.82 cnf(1032,plain,
% 3.75/3.82 (P20(f5(a1))),
% 3.75/3.82 inference(scs_inference,[],[407,1024,349,344,409,412,431,2,592,503,496,494,481,695,694,604,493])).
% 3.75/3.82 cnf(1043,plain,
% 3.75/3.82 (P2(x10431,f136(x10431))),
% 3.75/3.82 inference(rename_variables,[],[411])).
% 3.75/3.82 cnf(1046,plain,
% 3.75/3.82 (P2(x10461,f136(x10461))),
% 3.75/3.82 inference(rename_variables,[],[411])).
% 3.75/3.82 cnf(1048,plain,
% 3.75/3.82 (E(f137(x10481,f136(x10481)),f150(f136(x10481)))),
% 3.75/3.82 inference(scs_inference,[],[407,1024,349,344,409,411,1043,1046,412,405,431,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680])).
% 3.75/3.82 cnf(1049,plain,
% 3.75/3.82 (P2(x10491,f136(x10491))),
% 3.75/3.82 inference(rename_variables,[],[411])).
% 3.75/3.82 cnf(1052,plain,
% 3.75/3.82 (P2(x10521,f136(x10521))),
% 3.75/3.82 inference(rename_variables,[],[411])).
% 3.75/3.82 cnf(1059,plain,
% 3.75/3.82 (E(f149(x10591,x10591),x10591)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1060,plain,
% 3.75/3.82 (P12(f5(a1))),
% 3.75/3.82 inference(scs_inference,[],[407,1024,429,349,361,365,369,387,392,344,408,409,411,1043,1046,1049,412,405,431,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318])).
% 3.75/3.82 cnf(1064,plain,
% 3.75/3.82 (P2(f37(x10641),x10641)),
% 3.75/3.82 inference(rename_variables,[],[412])).
% 3.75/3.82 cnf(1066,plain,
% 3.75/3.82 (P2(x10661,f136(x10661))),
% 3.75/3.82 inference(rename_variables,[],[411])).
% 3.75/3.82 cnf(1069,plain,
% 3.75/3.82 (P26(x10691,f149(x10691,x10692))),
% 3.75/3.82 inference(rename_variables,[],[417])).
% 3.75/3.82 cnf(1070,plain,
% 3.75/3.82 (~E(a1,f153(x10701,x10701))),
% 3.75/3.82 inference(scs_inference,[],[407,1024,1027,429,349,354,361,365,369,387,392,344,408,409,411,1043,1046,1049,1052,412,1030,417,405,431,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302])).
% 3.75/3.82 cnf(1071,plain,
% 3.75/3.82 (P26(x10711,x10711)),
% 3.75/3.82 inference(rename_variables,[],[407])).
% 3.75/3.82 cnf(1073,plain,
% 3.75/3.82 (P14(x10731,f14(x10731))),
% 3.75/3.82 inference(rename_variables,[],[409])).
% 3.75/3.82 cnf(1075,plain,
% 3.75/3.82 (P14(x10751,f14(x10751))),
% 3.75/3.82 inference(rename_variables,[],[409])).
% 3.75/3.82 cnf(1077,plain,
% 3.75/3.82 (E(f149(x10771,x10771),x10771)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1080,plain,
% 3.75/3.82 (P14(x10801,f14(x10801))),
% 3.75/3.82 inference(rename_variables,[],[409])).
% 3.75/3.82 cnf(1082,plain,
% 3.75/3.82 (P7(f147(a1,x10821),x10822)),
% 3.75/3.82 inference(scs_inference,[],[407,1024,1027,429,349,354,361,365,369,387,392,426,344,408,1059,409,1073,1075,410,411,1043,1046,1049,1052,412,1030,417,418,405,431,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635])).
% 3.75/3.82 cnf(1083,plain,
% 3.75/3.82 (P26(f147(x10831,x10832),x10831)),
% 3.75/3.82 inference(rename_variables,[],[418])).
% 3.75/3.82 cnf(1086,plain,
% 3.75/3.82 (P26(a1,x10861)),
% 3.75/3.82 inference(rename_variables,[],[403])).
% 3.75/3.82 cnf(1088,plain,
% 3.75/3.82 (~P2(f14(f32(a129)),a129)),
% 3.75/3.82 inference(scs_inference,[],[407,1024,1027,403,429,349,354,361,365,369,387,392,426,344,408,1059,409,1073,1075,410,411,1043,1046,1049,1052,412,1030,417,418,405,431,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548])).
% 3.75/3.82 cnf(1091,plain,
% 3.75/3.82 (P26(a1,x10911)),
% 3.75/3.82 inference(rename_variables,[],[403])).
% 3.75/3.82 cnf(1108,plain,
% 3.75/3.82 (E(f149(x11081,x11081),x11081)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1111,plain,
% 3.75/3.82 (E(f149(x11111,x11111),x11111)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1114,plain,
% 3.75/3.82 (E(f149(x11141,x11141),x11141)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1117,plain,
% 3.75/3.82 (E(f149(x11171,x11171),x11171)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1124,plain,
% 3.75/3.82 (E(f149(x11241,x11241),x11241)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1126,plain,
% 3.75/3.82 (~P14(x11261,f137(a1,f136(a1)))),
% 3.75/3.82 inference(scs_inference,[],[407,1024,1027,403,1086,384,390,429,349,354,361,365,369,387,392,426,344,408,1059,1077,1108,1111,1114,1117,409,1073,1075,1080,410,411,1043,1046,1049,1052,412,1030,1064,417,418,405,431,413,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655])).
% 3.75/3.82 cnf(1129,plain,
% 3.75/3.82 (E(f149(x11291,x11291),x11291)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1132,plain,
% 3.75/3.82 (E(f149(x11321,x11321),x11321)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1135,plain,
% 3.75/3.82 (E(f149(x11351,x11351),x11351)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1138,plain,
% 3.75/3.82 (E(f149(x11381,x11381),x11381)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1141,plain,
% 3.75/3.82 (E(f149(x11411,x11411),x11411)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1144,plain,
% 3.75/3.82 (E(f149(x11441,x11441),x11441)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1147,plain,
% 3.75/3.82 (E(f149(x11471,x11471),x11471)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1152,plain,
% 3.75/3.82 (E(f149(x11521,a1),x11521)),
% 3.75/3.82 inference(rename_variables,[],[404])).
% 3.75/3.82 cnf(1156,plain,
% 3.75/3.82 (P20(f131(x11561))),
% 3.75/3.82 inference(rename_variables,[],[398])).
% 3.75/3.82 cnf(1158,plain,
% 3.75/3.82 (P18(a13,f137(a1,f136(a1)))),
% 3.75/3.82 inference(scs_inference,[],[407,1024,1027,1071,403,1086,384,390,429,349,354,361,365,369,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,409,1073,1075,1080,410,411,1043,1046,1049,1052,412,1030,1064,417,418,404,405,431,398,413,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653])).
% 3.75/3.82 cnf(1160,plain,
% 3.75/3.82 (~P14(x11601,f151(f14(x11601),f14(x11601)))),
% 3.75/3.82 inference(scs_inference,[],[407,1024,1027,1071,403,1086,384,390,429,349,354,361,365,369,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,409,1073,1075,1080,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,418,404,405,431,398,413,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777])).
% 3.75/3.82 cnf(1169,plain,
% 3.75/3.82 (E(f149(x11691,a1),x11691)),
% 3.75/3.82 inference(rename_variables,[],[404])).
% 3.75/3.82 cnf(1170,plain,
% 3.75/3.82 (P14(x11701,f149(x11701,f153(x11701,x11701)))),
% 3.75/3.82 inference(rename_variables,[],[424])).
% 3.75/3.82 cnf(1173,plain,
% 3.75/3.82 (E(f149(x11731,a1),x11731)),
% 3.75/3.82 inference(rename_variables,[],[404])).
% 3.75/3.82 cnf(1176,plain,
% 3.75/3.82 (E(f149(x11761,x11761),x11761)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1177,plain,
% 3.75/3.82 (P14(x11771,f14(x11771))),
% 3.75/3.82 inference(rename_variables,[],[409])).
% 3.75/3.82 cnf(1180,plain,
% 3.75/3.82 (E(f149(x11801,x11801),x11801)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1186,plain,
% 3.75/3.82 (E(f149(x11861,x11861),x11861)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1189,plain,
% 3.75/3.82 (~E(f153(x11891,x11891),a1)),
% 3.75/3.82 inference(rename_variables,[],[431])).
% 3.75/3.82 cnf(1190,plain,
% 3.75/3.82 (E(f149(x11901,x11901),x11901)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1193,plain,
% 3.75/3.82 (E(f149(x11931,a1),x11931)),
% 3.75/3.82 inference(rename_variables,[],[404])).
% 3.75/3.82 cnf(1196,plain,
% 3.75/3.82 (E(f149(x11961,x11961),x11961)),
% 3.75/3.82 inference(rename_variables,[],[408])).
% 3.75/3.82 cnf(1208,plain,
% 3.75/3.82 (P7(x12081,f147(a1,x12082))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533])).
% 3.75/3.82 cnf(1222,plain,
% 3.75/3.82 (P8(a6)),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439])).
% 3.75/3.82 cnf(1228,plain,
% 3.75/3.82 (P26(f139(f148(x12281,a13)),x12281)),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703])).
% 3.75/3.82 cnf(1244,plain,
% 3.75/3.82 (P20(f144(a13,x12441))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536])).
% 3.75/3.82 cnf(1570,plain,
% 3.75/3.82 (~E(f153(f153(x15701,f153(x15702,x15702)),f153(x15701,x15701)),f153(f153(x15703,a1),f153(x15703,x15703)))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851])).
% 3.75/3.82 cnf(1582,plain,
% 3.75/3.82 (~P7(f153(x15821,x15821),f14(x15821))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720])).
% 3.75/3.82 cnf(1642,plain,
% 3.75/3.82 (P12(f149(a1,f153(a1,a1)))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729])).
% 3.75/3.82 cnf(1644,plain,
% 3.75/3.82 (~E(f147(f14(x16441),f153(x16441,x16441)),f14(x16441))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723])).
% 3.75/3.82 cnf(1646,plain,
% 3.75/3.82 (~E(f147(f153(x16461,x16461),f147(f153(x16461,x16461),f14(x16461))),a1)),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693])).
% 3.75/3.82 cnf(1656,plain,
% 3.75/3.82 (P2(f147(a1,f147(a1,x16561)),f136(x16562))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639])).
% 3.75/3.82 cnf(1676,plain,
% 3.75/3.82 (~P26(f153(f153(x16761,x16761),f153(x16761,x16761)),f153(a1,a1))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754])).
% 3.75/3.82 cnf(1680,plain,
% 3.75/3.82 (P2(f151(a129,f37(f136(a129))),f136(a129))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701])).
% 3.75/3.82 cnf(1683,plain,
% 3.75/3.82 (P14(x16831,f32(x16831))),
% 3.75/3.82 inference(rename_variables,[],[410])).
% 3.75/3.82 cnf(1695,plain,
% 3.75/3.82 (~P14(x16951,f147(a1,x16952))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673])).
% 3.75/3.82 cnf(1701,plain,
% 3.75/3.82 (P23(a30)),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517])).
% 3.75/3.82 cnf(1703,plain,
% 3.75/3.82 (P28(a30)),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516])).
% 3.75/3.82 cnf(1705,plain,
% 3.75/3.82 (P29(a30)),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515])).
% 3.75/3.82 cnf(1707,plain,
% 3.75/3.82 (P6(a30)),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514])).
% 3.75/3.82 cnf(1709,plain,
% 3.75/3.82 (P4(a30)),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513])).
% 3.75/3.82 cnf(1730,plain,
% 3.75/3.82 (P26(f147(x17301,x17302),x17301)),
% 3.75/3.82 inference(rename_variables,[],[418])).
% 3.75/3.82 cnf(1733,plain,
% 3.75/3.82 (P26(f147(x17331,x17332),x17331)),
% 3.75/3.82 inference(rename_variables,[],[418])).
% 3.75/3.82 cnf(1741,plain,
% 3.75/3.82 (P24(f144(a13,x17411))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589])).
% 3.75/3.82 cnf(1771,plain,
% 3.75/3.82 (P30(a13,f142(a13))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523])).
% 3.75/3.82 cnf(1779,plain,
% 3.75/3.82 (P16(a13,f142(a13))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519])).
% 3.75/3.82 cnf(1787,plain,
% 3.75/3.82 (P20(f133(a12))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,380,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519,518,499,498,488])).
% 3.75/3.82 cnf(1789,plain,
% 3.75/3.82 (P8(f133(a12))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,380,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519,518,499,498,488,487])).
% 3.75/3.82 cnf(1793,plain,
% 3.75/3.82 (~P14(f153(f153(x17931,f14(f20(a1,f14(x17932)))),f153(x17931,x17931)),f144(a13,f20(a1,f14(x17932))))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,380,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519,518,499,498,488,487,874,872])).
% 3.75/3.82 cnf(1807,plain,
% 3.75/3.82 (P17(a13,f147(a1,x18071))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,380,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,1733,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519,518,499,498,488,487,874,872,805,788,759,743,737,736,652])).
% 3.75/3.82 cnf(1817,plain,
% 3.75/3.82 (P26(x18171,x18171)),
% 3.75/3.82 inference(rename_variables,[],[407])).
% 3.75/3.82 cnf(1837,plain,
% 3.75/3.82 (P13(f133(a1))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,1817,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,380,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,1733,404,1152,1169,1173,1193,405,431,1189,398,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519,518,499,498,488,487,874,872,805,788,759,743,737,736,652,808,765,755,739,669,609,908,857,790,844,795,662,661,509])).
% 3.75/3.82 cnf(1841,plain,
% 3.75/3.82 (~P14(f153(f153(f153(x18411,x18411),a1),f153(f153(x18411,x18411),f153(x18411,x18411))),f131(f5(a1)))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,1817,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,380,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,1733,404,1152,1169,1173,1193,405,431,1189,398,1156,413,424,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519,518,499,498,488,487,874,872,805,788,759,743,737,736,652,808,765,755,739,669,609,908,857,790,844,795,662,661,509,507,862])).
% 3.75/3.82 cnf(1842,plain,
% 3.75/3.82 (P20(f131(x18421))),
% 3.75/3.82 inference(rename_variables,[],[398])).
% 3.75/3.82 cnf(1848,plain,
% 3.75/3.82 (P22(f149(a1,f153(a1,a1)),f149(a1,f153(a1,a1)))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,1817,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,380,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,1733,404,1152,1169,1173,1193,405,431,1189,396,398,1156,1842,413,424,1170,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519,518,499,498,488,487,874,872,805,788,759,743,737,736,652,808,765,755,739,669,609,908,857,790,844,795,662,661,509,507,862,497,787])).
% 3.75/3.82 cnf(1858,plain,
% 3.75/3.82 (E(f133(a1),f140(a1))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,1817,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,380,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,1733,404,1152,1169,1173,1193,405,431,1189,396,398,1156,1842,413,424,1170,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519,518,499,498,488,487,874,872,805,788,759,743,737,736,652,808,765,755,739,669,609,908,857,790,844,795,662,661,509,507,862,497,787,734,525,524,502])).
% 3.75/3.82 cnf(1866,plain,
% 3.75/3.82 (P27(a30,a13,f133(a12))),
% 3.75/3.82 inference(scs_inference,[],[360,407,1024,1027,1071,1817,432,403,1086,1091,384,385,386,390,420,429,349,350,351,352,354,356,361,362,363,365,369,375,378,380,387,392,426,344,408,1059,1077,1108,1111,1114,1117,1124,1129,1132,1135,1138,1141,1144,1147,1176,1180,1186,1190,1196,409,1073,1075,1080,1177,410,1683,411,1043,1046,1049,1052,1066,412,1030,1064,417,1069,418,1083,1730,1733,404,1152,1169,1173,1193,405,431,1189,396,398,1156,1842,413,424,1170,401,416,2,592,503,496,494,481,695,694,604,493,482,625,540,530,745,744,680,679,339,333,332,328,320,318,315,314,313,312,309,303,302,300,299,298,3,672,635,608,548,545,511,477,476,475,474,473,453,753,752,751,748,678,677,676,655,642,641,640,596,595,551,550,448,610,452,653,777,613,558,495,674,691,690,628,611,783,681,775,840,706,636,789,594,533,532,466,447,444,441,440,439,437,554,703,702,616,615,606,605,557,556,536,535,534,478,467,464,463,462,461,460,459,458,457,456,455,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,897,851,784,728,727,726,722,720,715,714,713,712,684,659,657,644,643,624,623,622,620,619,559,546,539,538,528,504,480,479,602,828,767,741,740,731,730,729,723,693,666,664,663,656,639,629,626,603,537,505,899,845,818,760,754,735,701,700,685,793,637,852,341,331,673,634,633,517,516,515,514,513,501,500,438,801,800,799,717,716,711,689,688,627,591,590,589,588,587,586,585,584,583,582,581,577,576,575,574,573,564,523,522,521,520,519,518,499,498,488,487,874,872,805,788,759,743,737,736,652,808,765,755,739,669,609,908,857,790,844,795,662,661,509,507,862,497,787,734,525,524,502,699,630,617,835])).
% 3.75/3.82 cnf(1883,plain,
% 3.75/3.82 (P22(x18831,x18831)+~P12(x18831)),
% 3.75/3.82 inference(scs_inference,[],[364,500])).
% 3.75/3.82 cnf(1887,plain,
% 3.75/3.82 (E(f149(x18871,x18872),f149(x18872,x18871))),
% 3.75/3.82 inference(rename_variables,[],[415])).
% 3.75/3.82 cnf(1889,plain,
% 3.75/3.82 (~P14(x18891,a1)),
% 3.75/3.82 inference(rename_variables,[],[1015])).
% 3.75/3.82 cnf(1892,plain,
% 3.75/3.82 (~P14(f14(x18921),x18921)),
% 3.75/3.82 inference(rename_variables,[],[1013])).
% 3.75/3.82 cnf(1895,plain,
% 3.75/3.82 (~P14(f14(x18951),x18951)),
% 3.75/3.82 inference(rename_variables,[],[1013])).
% 3.75/3.82 cnf(1898,plain,
% 3.75/3.82 (~P14(f14(x18981),x18981)),
% 3.75/3.82 inference(rename_variables,[],[1013])).
% 3.75/3.82 cnf(1903,plain,
% 3.75/3.82 (P26(f147(x19031,x19032),x19031)),
% 3.75/3.82 inference(rename_variables,[],[418])).
% 3.75/3.82 cnf(1906,plain,
% 3.75/3.82 (~P14(f14(x19061),x19061)),
% 3.75/3.82 inference(rename_variables,[],[1013])).
% 3.75/3.82 cnf(1909,plain,
% 3.75/3.82 (~P14(f14(x19091),x19091)),
% 3.75/3.82 inference(rename_variables,[],[1013])).
% 3.75/3.82 cnf(1912,plain,
% 3.75/3.82 (~P14(x19121,f147(a1,x19122))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1915,plain,
% 3.75/3.82 (~P14(x19151,f147(a1,x19152))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1918,plain,
% 3.75/3.82 (~P14(x19181,f147(a1,x19182))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1921,plain,
% 3.75/3.82 (~P14(x19211,f147(a1,x19212))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1924,plain,
% 3.75/3.82 (~P14(x19241,f147(a1,x19242))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1927,plain,
% 3.75/3.82 (~P14(x19271,a1)),
% 3.75/3.82 inference(rename_variables,[],[1015])).
% 3.75/3.82 cnf(1930,plain,
% 3.75/3.82 (~P14(x19301,f5(a1))),
% 3.75/3.82 inference(rename_variables,[],[1019])).
% 3.75/3.82 cnf(1933,plain,
% 3.75/3.82 (~P14(x19331,a1)),
% 3.75/3.82 inference(rename_variables,[],[1015])).
% 3.75/3.82 cnf(1936,plain,
% 3.75/3.82 (~P14(x19361,f5(a1))),
% 3.75/3.82 inference(rename_variables,[],[1019])).
% 3.75/3.82 cnf(1939,plain,
% 3.75/3.82 (~P14(x19391,a1)),
% 3.75/3.82 inference(rename_variables,[],[1015])).
% 3.75/3.82 cnf(1942,plain,
% 3.75/3.82 (~P14(x19421,f5(a1))),
% 3.75/3.82 inference(rename_variables,[],[1019])).
% 3.75/3.82 cnf(1947,plain,
% 3.75/3.82 (P20(f131(x19471))),
% 3.75/3.82 inference(rename_variables,[],[398])).
% 3.75/3.82 cnf(1950,plain,
% 3.75/3.82 (~P14(x19501,f147(a1,x19502))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1951,plain,
% 3.75/3.82 (~P14(x19511,f137(a1,f136(a1)))),
% 3.75/3.82 inference(rename_variables,[],[1126])).
% 3.75/3.82 cnf(1954,plain,
% 3.75/3.82 (~P14(x19541,a1)),
% 3.75/3.82 inference(rename_variables,[],[1015])).
% 3.75/3.82 cnf(1957,plain,
% 3.75/3.82 (P20(f144(a13,x19571))),
% 3.75/3.82 inference(rename_variables,[],[1244])).
% 3.75/3.82 cnf(1961,plain,
% 3.75/3.82 (~P14(x19611,f147(a1,x19612))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1962,plain,
% 3.75/3.82 (~P14(x19621,f147(a1,x19622))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1965,plain,
% 3.75/3.82 (~P14(x19651,f147(a1,x19652))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1966,plain,
% 3.75/3.82 (~P14(x19661,f147(a1,x19662))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1969,plain,
% 3.75/3.82 (~P14(x19691,f147(a1,x19692))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1970,plain,
% 3.75/3.82 (~P14(x19701,f147(a1,x19702))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1974,plain,
% 3.75/3.82 (~P14(x19741,f147(a1,x19742))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1977,plain,
% 3.75/3.82 (~P14(x19771,f147(a1,x19772))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1978,plain,
% 3.75/3.82 (~P14(x19781,f147(a1,x19782))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(1988,plain,
% 3.75/3.82 (P14(x19881,f149(x19881,f153(x19881,x19881)))),
% 3.75/3.82 inference(rename_variables,[],[424])).
% 3.75/3.82 cnf(1991,plain,
% 3.75/3.82 (P26(x19911,x19911)),
% 3.75/3.82 inference(rename_variables,[],[407])).
% 3.75/3.82 cnf(1992,plain,
% 3.75/3.82 (P2(f37(x19921),x19921)),
% 3.75/3.82 inference(rename_variables,[],[412])).
% 3.75/3.82 cnf(1997,plain,
% 3.75/3.82 (~P14(x19971,f147(a1,x19972))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(2000,plain,
% 3.75/3.82 (~P14(x20001,f147(a1,x20002))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(2003,plain,
% 3.75/3.82 (P14(x20031,f149(x20031,f153(x20031,x20031)))),
% 3.75/3.82 inference(rename_variables,[],[424])).
% 3.75/3.82 cnf(2006,plain,
% 3.75/3.82 (P26(x20061,x20061)),
% 3.75/3.82 inference(rename_variables,[],[407])).
% 3.75/3.82 cnf(2009,plain,
% 3.75/3.82 (~P14(x20091,f147(a1,x20092))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(2010,plain,
% 3.75/3.82 (~P14(x20101,f147(a1,x20102))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(2013,plain,
% 3.75/3.82 (~P14(x20131,f147(a1,x20132))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(2018,plain,
% 3.75/3.82 (~P14(x20181,f147(a1,x20182))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(2019,plain,
% 3.75/3.82 (~P14(x20191,f147(a1,x20192))),
% 3.75/3.82 inference(rename_variables,[],[1695])).
% 3.75/3.82 cnf(2022,plain,
% 3.75/3.83 (~P14(x20221,f151(f14(x20221),f14(x20221)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2025,plain,
% 3.75/3.83 (~P14(x20251,f147(a1,x20252))),
% 3.75/3.83 inference(rename_variables,[],[1695])).
% 3.75/3.83 cnf(2028,plain,
% 3.75/3.83 (~P14(x20281,f137(a1,f136(a1)))),
% 3.75/3.83 inference(rename_variables,[],[1126])).
% 3.75/3.83 cnf(2029,plain,
% 3.75/3.83 (~P14(x20291,f147(a1,x20292))),
% 3.75/3.83 inference(rename_variables,[],[1695])).
% 3.75/3.83 cnf(2032,plain,
% 3.75/3.83 (~P14(x20321,f137(a1,f136(a1)))),
% 3.75/3.83 inference(rename_variables,[],[1126])).
% 3.75/3.83 cnf(2033,plain,
% 3.75/3.83 (~P14(x20331,f147(a1,x20332))),
% 3.75/3.83 inference(rename_variables,[],[1695])).
% 3.75/3.83 cnf(2036,plain,
% 3.75/3.83 (~P14(x20361,f147(a1,x20362))),
% 3.75/3.83 inference(rename_variables,[],[1695])).
% 3.75/3.83 cnf(2052,plain,
% 3.75/3.83 (~P14(x20521,f137(a1,f136(a1)))),
% 3.75/3.83 inference(rename_variables,[],[1126])).
% 3.75/3.83 cnf(2058,plain,
% 3.75/3.83 (~P14(x20581,f147(a1,x20582))),
% 3.75/3.83 inference(rename_variables,[],[1695])).
% 3.75/3.83 cnf(2061,plain,
% 3.75/3.83 (P14(x20611,f149(x20611,f153(x20611,x20611)))),
% 3.75/3.83 inference(rename_variables,[],[424])).
% 3.75/3.83 cnf(2064,plain,
% 3.75/3.83 (~P14(x20641,f151(f14(x20641),f14(x20641)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2067,plain,
% 3.75/3.83 (~P14(f14(x20671),x20671)),
% 3.75/3.83 inference(rename_variables,[],[1013])).
% 3.75/3.83 cnf(2070,plain,
% 3.75/3.83 (P26(f147(x20701,x20702),x20701)),
% 3.75/3.83 inference(rename_variables,[],[418])).
% 3.75/3.83 cnf(2075,plain,
% 3.75/3.83 (~P14(x20751,f151(f14(x20751),f14(x20751)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2078,plain,
% 3.75/3.83 (~P14(x20781,f151(f14(x20781),f14(x20781)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2081,plain,
% 3.75/3.83 (P14(x20811,f149(x20811,f153(x20811,x20811)))),
% 3.75/3.83 inference(rename_variables,[],[424])).
% 3.75/3.83 cnf(2086,plain,
% 3.75/3.83 (P14(x20861,f14(x20861))),
% 3.75/3.83 inference(rename_variables,[],[409])).
% 3.75/3.83 cnf(2089,plain,
% 3.75/3.83 (P14(x20891,f14(x20891))),
% 3.75/3.83 inference(rename_variables,[],[409])).
% 3.75/3.83 cnf(2100,plain,
% 3.75/3.83 (~P14(f14(x21001),x21001)),
% 3.75/3.83 inference(rename_variables,[],[1013])).
% 3.75/3.83 cnf(2117,plain,
% 3.75/3.83 (P20(f144(a13,x21171))),
% 3.75/3.83 inference(rename_variables,[],[1244])).
% 3.75/3.83 cnf(2120,plain,
% 3.75/3.83 (~P14(f14(x21201),x21201)),
% 3.75/3.83 inference(rename_variables,[],[1013])).
% 3.75/3.83 cnf(2123,plain,
% 3.75/3.83 (~P14(f14(x21231),x21231)),
% 3.75/3.83 inference(rename_variables,[],[1013])).
% 3.75/3.83 cnf(2127,plain,
% 3.75/3.83 (P14(x21271,f32(x21271))),
% 3.75/3.83 inference(rename_variables,[],[410])).
% 3.75/3.83 cnf(2141,plain,
% 3.75/3.83 (~P14(x21411,f151(f14(x21411),f14(x21411)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2144,plain,
% 3.75/3.83 (P26(x21441,x21441)),
% 3.75/3.83 inference(rename_variables,[],[407])).
% 3.75/3.83 cnf(2150,plain,
% 3.75/3.83 (~P14(x21501,f151(f14(x21501),f14(x21501)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2151,plain,
% 3.75/3.83 (P14(x21511,f14(x21511))),
% 3.75/3.83 inference(rename_variables,[],[409])).
% 3.75/3.83 cnf(2156,plain,
% 3.75/3.83 (P14(x21561,f14(x21561))),
% 3.75/3.83 inference(rename_variables,[],[409])).
% 3.75/3.83 cnf(2161,plain,
% 3.75/3.83 (E(f147(x21611,f147(x21611,x21611)),x21611)),
% 3.75/3.83 inference(rename_variables,[],[419])).
% 3.75/3.83 cnf(2162,plain,
% 3.75/3.83 (~P14(f14(x21621),x21621)),
% 3.75/3.83 inference(rename_variables,[],[1013])).
% 3.75/3.83 cnf(2167,plain,
% 3.75/3.83 (~P14(f14(x21671),x21671)),
% 3.75/3.83 inference(rename_variables,[],[1013])).
% 3.75/3.83 cnf(2186,plain,
% 3.75/3.83 (E(f147(x21861,f147(x21861,x21861)),x21861)),
% 3.75/3.83 inference(rename_variables,[],[419])).
% 3.75/3.83 cnf(2189,plain,
% 3.75/3.83 (P14(x21891,f149(x21891,f153(x21891,x21891)))),
% 3.75/3.83 inference(rename_variables,[],[424])).
% 3.75/3.83 cnf(2192,plain,
% 3.75/3.83 (P14(x21921,f149(x21921,f153(x21921,x21921)))),
% 3.75/3.83 inference(rename_variables,[],[424])).
% 3.75/3.83 cnf(2203,plain,
% 3.75/3.83 (P14(x22031,f14(x22031))),
% 3.75/3.83 inference(rename_variables,[],[409])).
% 3.75/3.83 cnf(2206,plain,
% 3.75/3.83 (E(f147(x22061,f147(x22061,x22061)),x22061)),
% 3.75/3.83 inference(rename_variables,[],[419])).
% 3.75/3.83 cnf(2207,plain,
% 3.75/3.83 (~P14(f14(x22071),x22071)),
% 3.75/3.83 inference(rename_variables,[],[1013])).
% 3.75/3.83 cnf(2213,plain,
% 3.75/3.83 (~P14(x22131,f151(f14(x22131),f14(x22131)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2237,plain,
% 3.75/3.83 (~P14(x22371,f151(f14(x22371),f14(x22371)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2238,plain,
% 3.75/3.83 (E(f147(x22381,f147(x22381,x22381)),x22381)),
% 3.75/3.83 inference(rename_variables,[],[419])).
% 3.75/3.83 cnf(2243,plain,
% 3.75/3.83 (P14(x22431,f149(x22431,f153(x22431,x22431)))),
% 3.75/3.83 inference(rename_variables,[],[424])).
% 3.75/3.83 cnf(2246,plain,
% 3.75/3.83 (P14(x22461,f149(x22461,f153(x22461,x22461)))),
% 3.75/3.83 inference(rename_variables,[],[424])).
% 3.75/3.83 cnf(2249,plain,
% 3.75/3.83 (~P14(x22491,f151(f14(x22491),f14(x22491)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2252,plain,
% 3.75/3.83 (~P14(x22521,f151(f14(x22521),f14(x22521)))),
% 3.75/3.83 inference(rename_variables,[],[1160])).
% 3.75/3.83 cnf(2255,plain,
% 3.75/3.83 (E(f147(x22551,f147(x22551,x22551)),x22551)),
% 3.75/3.83 inference(rename_variables,[],[419])).
% 3.75/3.83 cnf(2256,plain,
% 3.75/3.83 (E(f146(f136(x22561)),x22561)),
% 3.75/3.83 inference(rename_variables,[],[400])).
% 3.75/3.83 cnf(2288,plain,
% 3.75/3.83 (P26(x22881,x22881)),
% 3.75/3.83 inference(rename_variables,[],[407])).
% 3.75/3.83 cnf(2293,plain,
% 3.75/3.83 (~P14(f14(x22931),x22931)),
% 3.75/3.83 inference(rename_variables,[],[1013])).
% 3.75/3.83 cnf(2302,plain,
% 3.75/3.83 (P14(x23021,f149(x23021,f153(x23021,x23021)))),
% 3.75/3.83 inference(rename_variables,[],[424])).
% 3.75/3.83 cnf(2305,plain,
% 3.75/3.83 (P14(x23051,f149(x23051,f153(x23051,x23051)))),
% 3.75/3.83 inference(rename_variables,[],[424])).
% 3.75/3.83 cnf(2309,plain,
% 3.75/3.83 (P14(x23091,f149(x23091,f153(x23091,x23091)))),
% 3.75/3.83 inference(rename_variables,[],[424])).
% 3.75/3.83 cnf(2349,plain,
% 3.75/3.83 ($false),
% 3.75/3.83 inference(scs_inference,[],[360,353,355,357,364,366,388,393,427,419,2161,2186,2206,2238,2255,399,400,2256,376,379,382,377,407,1991,2006,2144,2288,403,411,412,1992,417,418,1903,2070,398,1947,415,1887,424,1988,2003,2061,2081,2189,2192,2243,2246,2302,2305,2309,420,409,2086,2089,2151,2156,2203,410,2127,429,385,350,390,431,361,386,375,384,1644,1048,1160,2022,2064,2075,2078,2141,2150,2213,2237,2249,2252,1582,1013,1892,1895,1898,1906,1909,2067,2100,2120,2123,2162,2167,2207,2293,1676,1848,1570,1228,1642,1082,1208,1695,1912,1915,1918,1921,1924,1950,1962,1965,1969,1974,1978,1997,2000,2009,2013,2019,2025,2029,2033,2036,2058,2018,1977,2010,1961,1966,1970,1793,1841,1656,1126,1951,2028,2032,2052,1019,1930,1936,1942,1244,1957,2117,1741,1771,1680,1646,1070,1015,1889,1927,1933,1939,1954,1032,1060,1787,1789,1837,1858,1158,1088,1807,1779,1866,1222,1701,1703,1705,1707,1709,1883,310,510,810,809,763,742,705,873,871,820,945,944,843,842,870,869,868,867,707,847,963,935,719,682,986,881,880,879,901,900,612,721,832,849,813,785,947,946,957,724,886,885,919,746,948,890,929,940,782,781,698,592,481,482,624,623,672,633,548,545,511,752,751,748,678,640,596,595,801,799,717,711,689,688,627,591,586,585,576,523,874,872,759,737,653,765,755,739,908,790,795,674,524,775,630,706,835,826,466,437,604,557,659,625,540,501,438,716,610,584,577,520,743,611,617,608,677,635,673,503,695,694,13,338,332,327,322,320,318,317,302,298,753,676,642,641,551,550,448,800,590,589,588,587,575,574,573,522,521,519,518,487,805,788,736,808,669,844,613,690,628,783,509,507,734,525,502,699,494,530,314,655,583,582,581,488,558,495,691,636,607]),
% 3.75/3.83 ['proof']).
% 3.75/3.83 % SZS output end Proof
% 3.75/3.83 % Total time :2.790000s
%------------------------------------------------------------------------------