TSTP Solution File: SEU257+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU257+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 : n025.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 16:18:48 EDT 2023
% Result : Theorem 4.67s 4.86s
% Output : CNFRefutation 4.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SEU257+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.36 % Computer : n025.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 23 18:17:05 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 4.67/4.82 %-------------------------------------------
% 4.67/4.82 % File :CSE---1.6
% 4.67/4.82 % Problem :theBenchmark
% 4.67/4.82 % Transform :cnf
% 4.67/4.82 % Format :tptp:raw
% 4.67/4.82 % Command :java -jar mcs_scs.jar %d %s
% 4.67/4.82
% 4.67/4.82 % Result :Theorem 3.910000s
% 4.67/4.82 % Output :CNFRefutation 3.910000s
% 4.67/4.82 %-------------------------------------------
% 4.67/4.83 %------------------------------------------------------------------------------
% 4.67/4.83 % File : SEU257+2 : TPTP v8.1.2. Released v3.3.0.
% 4.67/4.83 % Domain : Set theory
% 4.67/4.83 % Problem : MPTP chainy problem t32_wellord1
% 4.67/4.83 % Version : [Urb07] axioms : Especial.
% 4.67/4.83 % English :
% 4.67/4.83
% 4.67/4.83 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 4.67/4.83 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 4.67/4.83 % Source : [Urb07]
% 4.67/4.83 % Names : chainy-t32_wellord1 [Urb07]
% 4.67/4.83
% 4.67/4.83 % Status : Theorem
% 4.67/4.83 % Rating : 0.42 v8.1.0, 0.28 v7.4.0, 0.30 v7.3.0, 0.28 v7.1.0, 0.26 v7.0.0, 0.27 v6.4.0, 0.35 v6.3.0, 0.33 v6.2.0, 0.40 v6.1.0, 0.53 v6.0.0, 0.52 v5.5.0, 0.44 v5.4.0, 0.50 v5.3.0, 0.63 v5.2.0, 0.60 v5.1.0, 0.62 v5.0.0, 0.58 v4.1.0, 0.57 v4.0.1, 0.61 v4.0.0, 0.62 v3.7.0, 0.65 v3.5.0, 0.68 v3.4.0, 0.79 v3.3.0
% 4.67/4.83 % Syntax : Number of formulae : 316 ( 58 unt; 0 def)
% 4.67/4.83 % Number of atoms : 986 ( 174 equ)
% 4.67/4.83 % Maximal formula atoms : 15 ( 3 avg)
% 4.67/4.83 % Number of connectives : 779 ( 109 ~; 8 |; 260 &)
% 4.67/4.83 % ( 115 <=>; 287 =>; 0 <=; 0 <~>)
% 4.67/4.83 % Maximal formula depth : 14 ( 5 avg)
% 4.67/4.83 % Maximal term depth : 4 ( 1 avg)
% 4.67/4.83 % Number of predicates : 30 ( 28 usr; 1 prp; 0-2 aty)
% 4.67/4.83 % Number of functors : 33 ( 33 usr; 1 con; 0-3 aty)
% 4.67/4.83 % Number of variables : 671 ( 639 !; 32 ?)
% 4.67/4.83 % SPC : FOF_THM_RFO_SEQ
% 4.67/4.83
% 4.67/4.83 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 4.67/4.83 % library, www.mizar.org
% 4.67/4.83 %------------------------------------------------------------------------------
% 4.67/4.83 fof(antisymmetry_r2_hidden,axiom,
% 4.67/4.83 ! [A,B] :
% 4.67/4.83 ( in(A,B)
% 4.67/4.83 => ~ in(B,A) ) ).
% 4.67/4.83
% 4.67/4.83 fof(antisymmetry_r2_xboole_0,axiom,
% 4.67/4.83 ! [A,B] :
% 4.67/4.83 ( proper_subset(A,B)
% 4.67/4.83 => ~ proper_subset(B,A) ) ).
% 4.67/4.83
% 4.67/4.83 fof(cc1_funct_1,axiom,
% 4.67/4.83 ! [A] :
% 4.67/4.83 ( empty(A)
% 4.67/4.83 => function(A) ) ).
% 4.67/4.83
% 4.67/4.83 fof(cc1_ordinal1,axiom,
% 4.67/4.83 ! [A] :
% 4.67/4.83 ( ordinal(A)
% 4.67/4.83 => ( epsilon_transitive(A)
% 4.67/4.83 & epsilon_connected(A) ) ) ).
% 4.67/4.83
% 4.67/4.83 fof(cc1_relat_1,axiom,
% 4.67/4.83 ! [A] :
% 4.67/4.83 ( empty(A)
% 4.67/4.83 => relation(A) ) ).
% 4.67/4.83
% 4.67/4.83 fof(cc2_funct_1,axiom,
% 4.67/4.83 ! [A] :
% 4.67/4.83 ( ( relation(A)
% 4.67/4.83 & empty(A)
% 4.67/4.83 & function(A) )
% 4.67/4.83 => ( relation(A)
% 4.67/4.83 & function(A)
% 4.67/4.83 & one_to_one(A) ) ) ).
% 4.67/4.83
% 4.67/4.83 fof(cc2_ordinal1,axiom,
% 4.67/4.83 ! [A] :
% 4.67/4.83 ( ( epsilon_transitive(A)
% 4.67/4.83 & epsilon_connected(A) )
% 4.67/4.83 => ordinal(A) ) ).
% 4.67/4.83
% 4.67/4.83 fof(cc3_ordinal1,axiom,
% 4.67/4.83 ! [A] :
% 4.67/4.83 ( empty(A)
% 4.67/4.83 => ( epsilon_transitive(A)
% 4.67/4.83 & epsilon_connected(A)
% 4.67/4.83 & ordinal(A) ) ) ).
% 4.67/4.83
% 4.67/4.83 fof(commutativity_k2_tarski,axiom,
% 4.67/4.83 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 4.67/4.83
% 4.67/4.83 fof(commutativity_k2_xboole_0,axiom,
% 4.67/4.83 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 4.67/4.83
% 4.67/4.83 fof(commutativity_k3_xboole_0,axiom,
% 4.67/4.83 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 4.67/4.83
% 4.67/4.83 fof(connectedness_r1_ordinal1,axiom,
% 4.67/4.83 ! [A,B] :
% 4.67/4.83 ( ( ordinal(A)
% 4.67/4.83 & ordinal(B) )
% 4.67/4.83 => ( ordinal_subset(A,B)
% 4.67/4.83 | ordinal_subset(B,A) ) ) ).
% 4.67/4.83
% 4.67/4.83 fof(d10_relat_1,axiom,
% 4.67/4.83 ! [A,B] :
% 4.67/4.83 ( relation(B)
% 4.67/4.83 => ( B = identity_relation(A)
% 4.67/4.83 <=> ! [C,D] :
% 4.67/4.83 ( in(ordered_pair(C,D),B)
% 4.67/4.83 <=> ( in(C,A)
% 4.67/4.83 & C = D ) ) ) ) ).
% 4.67/4.83
% 4.67/4.83 fof(d10_xboole_0,axiom,
% 4.67/4.83 ! [A,B] :
% 4.67/4.83 ( A = B
% 4.67/4.83 <=> ( subset(A,B)
% 4.67/4.83 & subset(B,A) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d11_relat_1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ! [B,C] :
% 4.67/4.84 ( relation(C)
% 4.67/4.84 => ( C = relation_dom_restriction(A,B)
% 4.67/4.84 <=> ! [D,E] :
% 4.67/4.84 ( in(ordered_pair(D,E),C)
% 4.67/4.84 <=> ( in(D,B)
% 4.67/4.84 & in(ordered_pair(D,E),A) ) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d12_funct_1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( ( relation(A)
% 4.67/4.84 & function(A) )
% 4.67/4.84 => ! [B,C] :
% 4.67/4.84 ( C = relation_image(A,B)
% 4.67/4.84 <=> ! [D] :
% 4.67/4.84 ( in(D,C)
% 4.67/4.84 <=> ? [E] :
% 4.67/4.84 ( in(E,relation_dom(A))
% 4.67/4.84 & in(E,B)
% 4.67/4.84 & D = apply(A,E) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d12_relat_1,axiom,
% 4.67/4.84 ! [A,B] :
% 4.67/4.84 ( relation(B)
% 4.67/4.84 => ! [C] :
% 4.67/4.84 ( relation(C)
% 4.67/4.84 => ( C = relation_rng_restriction(A,B)
% 4.67/4.84 <=> ! [D,E] :
% 4.67/4.84 ( in(ordered_pair(D,E),C)
% 4.67/4.84 <=> ( in(E,A)
% 4.67/4.84 & in(ordered_pair(D,E),B) ) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d12_relat_2,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ( antisymmetric(A)
% 4.67/4.84 <=> is_antisymmetric_in(A,relation_field(A)) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d13_funct_1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( ( relation(A)
% 4.67/4.84 & function(A) )
% 4.67/4.84 => ! [B,C] :
% 4.67/4.84 ( C = relation_inverse_image(A,B)
% 4.67/4.84 <=> ! [D] :
% 4.67/4.84 ( in(D,C)
% 4.67/4.84 <=> ( in(D,relation_dom(A))
% 4.67/4.84 & in(apply(A,D),B) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d13_relat_1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ! [B,C] :
% 4.67/4.84 ( C = relation_image(A,B)
% 4.67/4.84 <=> ! [D] :
% 4.67/4.84 ( in(D,C)
% 4.67/4.84 <=> ? [E] :
% 4.67/4.84 ( in(ordered_pair(E,D),A)
% 4.67/4.84 & in(E,B) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d14_relat_1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ! [B,C] :
% 4.67/4.84 ( C = relation_inverse_image(A,B)
% 4.67/4.84 <=> ! [D] :
% 4.67/4.84 ( in(D,C)
% 4.67/4.84 <=> ? [E] :
% 4.67/4.84 ( in(ordered_pair(D,E),A)
% 4.67/4.84 & in(E,B) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d14_relat_2,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ( connected(A)
% 4.67/4.84 <=> is_connected_in(A,relation_field(A)) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d16_relat_2,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ( transitive(A)
% 4.67/4.84 <=> is_transitive_in(A,relation_field(A)) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d1_enumset1,axiom,
% 4.67/4.84 ! [A,B,C,D] :
% 4.67/4.84 ( D = unordered_triple(A,B,C)
% 4.67/4.84 <=> ! [E] :
% 4.67/4.84 ( in(E,D)
% 4.67/4.84 <=> ~ ( E != A
% 4.67/4.84 & E != B
% 4.67/4.84 & E != C ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d1_ordinal1,axiom,
% 4.67/4.84 ! [A] : succ(A) = set_union2(A,singleton(A)) ).
% 4.67/4.84
% 4.67/4.84 fof(d1_relat_1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 <=> ! [B] :
% 4.67/4.84 ~ ( in(B,A)
% 4.67/4.84 & ! [C,D] : B != ordered_pair(C,D) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d1_relat_2,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ! [B] :
% 4.67/4.84 ( is_reflexive_in(A,B)
% 4.67/4.84 <=> ! [C] :
% 4.67/4.84 ( in(C,B)
% 4.67/4.84 => in(ordered_pair(C,C),A) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d1_setfam_1,axiom,
% 4.67/4.84 ! [A,B] :
% 4.67/4.84 ( ( A != empty_set
% 4.67/4.84 => ( B = set_meet(A)
% 4.67/4.84 <=> ! [C] :
% 4.67/4.84 ( in(C,B)
% 4.67/4.84 <=> ! [D] :
% 4.67/4.84 ( in(D,A)
% 4.67/4.84 => in(C,D) ) ) ) )
% 4.67/4.84 & ( A = empty_set
% 4.67/4.84 => ( B = set_meet(A)
% 4.67/4.84 <=> B = empty_set ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d1_tarski,axiom,
% 4.67/4.84 ! [A,B] :
% 4.67/4.84 ( B = singleton(A)
% 4.67/4.84 <=> ! [C] :
% 4.67/4.84 ( in(C,B)
% 4.67/4.84 <=> C = A ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d1_wellord1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ! [B,C] :
% 4.67/4.84 ( C = fiber(A,B)
% 4.67/4.84 <=> ! [D] :
% 4.67/4.84 ( in(D,C)
% 4.67/4.84 <=> ( D != B
% 4.67/4.84 & in(ordered_pair(D,B),A) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d1_xboole_0,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( A = empty_set
% 4.67/4.84 <=> ! [B] : ~ in(B,A) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d1_zfmisc_1,axiom,
% 4.67/4.84 ! [A,B] :
% 4.67/4.84 ( B = powerset(A)
% 4.67/4.84 <=> ! [C] :
% 4.67/4.84 ( in(C,B)
% 4.67/4.84 <=> subset(C,A) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d2_ordinal1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( epsilon_transitive(A)
% 4.67/4.84 <=> ! [B] :
% 4.67/4.84 ( in(B,A)
% 4.67/4.84 => subset(B,A) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d2_relat_1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ! [B] :
% 4.67/4.84 ( relation(B)
% 4.67/4.84 => ( A = B
% 4.67/4.84 <=> ! [C,D] :
% 4.67/4.84 ( in(ordered_pair(C,D),A)
% 4.67/4.84 <=> in(ordered_pair(C,D),B) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d2_subset_1,axiom,
% 4.67/4.84 ! [A,B] :
% 4.67/4.84 ( ( ~ empty(A)
% 4.67/4.84 => ( element(B,A)
% 4.67/4.84 <=> in(B,A) ) )
% 4.67/4.84 & ( empty(A)
% 4.67/4.84 => ( element(B,A)
% 4.67/4.84 <=> empty(B) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d2_tarski,axiom,
% 4.67/4.84 ! [A,B,C] :
% 4.67/4.84 ( C = unordered_pair(A,B)
% 4.67/4.84 <=> ! [D] :
% 4.67/4.84 ( in(D,C)
% 4.67/4.84 <=> ( D = A
% 4.67/4.84 | D = B ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d2_wellord1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ( well_founded_relation(A)
% 4.67/4.84 <=> ! [B] :
% 4.67/4.84 ~ ( subset(B,relation_field(A))
% 4.67/4.84 & B != empty_set
% 4.67/4.84 & ! [C] :
% 4.67/4.84 ~ ( in(C,B)
% 4.67/4.84 & disjoint(fiber(A,C),B) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d2_xboole_0,axiom,
% 4.67/4.84 ! [A,B,C] :
% 4.67/4.84 ( C = set_union2(A,B)
% 4.67/4.84 <=> ! [D] :
% 4.67/4.84 ( in(D,C)
% 4.67/4.84 <=> ( in(D,A)
% 4.67/4.84 | in(D,B) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d2_zfmisc_1,axiom,
% 4.67/4.84 ! [A,B,C] :
% 4.67/4.84 ( C = cartesian_product2(A,B)
% 4.67/4.84 <=> ! [D] :
% 4.67/4.84 ( in(D,C)
% 4.67/4.84 <=> ? [E,F] :
% 4.67/4.84 ( in(E,A)
% 4.67/4.84 & in(F,B)
% 4.67/4.84 & D = ordered_pair(E,F) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d3_ordinal1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( epsilon_connected(A)
% 4.67/4.84 <=> ! [B,C] :
% 4.67/4.84 ~ ( in(B,A)
% 4.67/4.84 & in(C,A)
% 4.67/4.84 & ~ in(B,C)
% 4.67/4.84 & B != C
% 4.67/4.84 & ~ in(C,B) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d3_relat_1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ! [B] :
% 4.67/4.84 ( relation(B)
% 4.67/4.84 => ( subset(A,B)
% 4.67/4.84 <=> ! [C,D] :
% 4.67/4.84 ( in(ordered_pair(C,D),A)
% 4.67/4.84 => in(ordered_pair(C,D),B) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d3_tarski,axiom,
% 4.67/4.84 ! [A,B] :
% 4.67/4.84 ( subset(A,B)
% 4.67/4.84 <=> ! [C] :
% 4.67/4.84 ( in(C,A)
% 4.67/4.84 => in(C,B) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d3_wellord1,axiom,
% 4.67/4.84 ! [A] :
% 4.67/4.84 ( relation(A)
% 4.67/4.84 => ! [B] :
% 4.67/4.84 ( is_well_founded_in(A,B)
% 4.67/4.84 <=> ! [C] :
% 4.67/4.84 ~ ( subset(C,B)
% 4.67/4.84 & C != empty_set
% 4.67/4.84 & ! [D] :
% 4.67/4.84 ~ ( in(D,C)
% 4.67/4.84 & disjoint(fiber(A,D),C) ) ) ) ) ).
% 4.67/4.84
% 4.67/4.84 fof(d3_xboole_0,axiom,
% 4.67/4.84 ! [A,B,C] :
% 4.67/4.85 ( C = set_intersection2(A,B)
% 4.67/4.85 <=> ! [D] :
% 4.67/4.85 ( in(D,C)
% 4.67/4.85 <=> ( in(D,A)
% 4.67/4.85 & in(D,B) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d4_funct_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & function(A) )
% 4.67/4.85 => ! [B,C] :
% 4.67/4.85 ( ( in(B,relation_dom(A))
% 4.67/4.85 => ( C = apply(A,B)
% 4.67/4.85 <=> in(ordered_pair(B,C),A) ) )
% 4.67/4.85 & ( ~ in(B,relation_dom(A))
% 4.67/4.85 => ( C = apply(A,B)
% 4.67/4.85 <=> C = empty_set ) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d4_ordinal1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( ordinal(A)
% 4.67/4.85 <=> ( epsilon_transitive(A)
% 4.67/4.85 & epsilon_connected(A) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d4_relat_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ! [B] :
% 4.67/4.85 ( B = relation_dom(A)
% 4.67/4.85 <=> ! [C] :
% 4.67/4.85 ( in(C,B)
% 4.67/4.85 <=> ? [D] : in(ordered_pair(C,D),A) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d4_relat_2,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ! [B] :
% 4.67/4.85 ( is_antisymmetric_in(A,B)
% 4.67/4.85 <=> ! [C,D] :
% 4.67/4.85 ( ( in(C,B)
% 4.67/4.85 & in(D,B)
% 4.67/4.85 & in(ordered_pair(C,D),A)
% 4.67/4.85 & in(ordered_pair(D,C),A) )
% 4.67/4.85 => C = D ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d4_subset_1,axiom,
% 4.67/4.85 ! [A] : cast_to_subset(A) = A ).
% 4.67/4.85
% 4.67/4.85 fof(d4_tarski,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( B = union(A)
% 4.67/4.85 <=> ! [C] :
% 4.67/4.85 ( in(C,B)
% 4.67/4.85 <=> ? [D] :
% 4.67/4.85 ( in(C,D)
% 4.67/4.85 & in(D,A) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d4_wellord1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ( well_ordering(A)
% 4.67/4.85 <=> ( reflexive(A)
% 4.67/4.85 & transitive(A)
% 4.67/4.85 & antisymmetric(A)
% 4.67/4.85 & connected(A)
% 4.67/4.85 & well_founded_relation(A) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d4_xboole_0,axiom,
% 4.67/4.85 ! [A,B,C] :
% 4.67/4.85 ( C = set_difference(A,B)
% 4.67/4.85 <=> ! [D] :
% 4.67/4.85 ( in(D,C)
% 4.67/4.85 <=> ( in(D,A)
% 4.67/4.85 & ~ in(D,B) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d5_funct_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & function(A) )
% 4.67/4.85 => ! [B] :
% 4.67/4.85 ( B = relation_rng(A)
% 4.67/4.85 <=> ! [C] :
% 4.67/4.85 ( in(C,B)
% 4.67/4.85 <=> ? [D] :
% 4.67/4.85 ( in(D,relation_dom(A))
% 4.67/4.85 & C = apply(A,D) ) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d5_relat_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ! [B] :
% 4.67/4.85 ( B = relation_rng(A)
% 4.67/4.85 <=> ! [C] :
% 4.67/4.85 ( in(C,B)
% 4.67/4.85 <=> ? [D] : in(ordered_pair(D,C),A) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d5_subset_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( element(B,powerset(A))
% 4.67/4.85 => subset_complement(A,B) = set_difference(A,B) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d5_tarski,axiom,
% 4.67/4.85 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 4.67/4.85
% 4.67/4.85 fof(d5_wellord1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ! [B] :
% 4.67/4.85 ( well_orders(A,B)
% 4.67/4.85 <=> ( is_reflexive_in(A,B)
% 4.67/4.85 & is_transitive_in(A,B)
% 4.67/4.85 & is_antisymmetric_in(A,B)
% 4.67/4.85 & is_connected_in(A,B)
% 4.67/4.85 & is_well_founded_in(A,B) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d6_ordinal1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( being_limit_ordinal(A)
% 4.67/4.85 <=> A = union(A) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d6_relat_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d6_relat_2,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ! [B] :
% 4.67/4.85 ( is_connected_in(A,B)
% 4.67/4.85 <=> ! [C,D] :
% 4.67/4.85 ~ ( in(C,B)
% 4.67/4.85 & in(D,B)
% 4.67/4.85 & C != D
% 4.67/4.85 & ~ in(ordered_pair(C,D),A)
% 4.67/4.85 & ~ in(ordered_pair(D,C),A) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d6_wellord1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d7_relat_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ! [B] :
% 4.67/4.85 ( relation(B)
% 4.67/4.85 => ( B = relation_inverse(A)
% 4.67/4.85 <=> ! [C,D] :
% 4.67/4.85 ( in(ordered_pair(C,D),B)
% 4.67/4.85 <=> in(ordered_pair(D,C),A) ) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d7_xboole_0,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( disjoint(A,B)
% 4.67/4.85 <=> set_intersection2(A,B) = empty_set ) ).
% 4.67/4.85
% 4.67/4.85 fof(d8_funct_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & function(A) )
% 4.67/4.85 => ( one_to_one(A)
% 4.67/4.85 <=> ! [B,C] :
% 4.67/4.85 ( ( in(B,relation_dom(A))
% 4.67/4.85 & in(C,relation_dom(A))
% 4.67/4.85 & apply(A,B) = apply(A,C) )
% 4.67/4.85 => B = C ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d8_relat_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ! [B] :
% 4.67/4.85 ( relation(B)
% 4.67/4.85 => ! [C] :
% 4.67/4.85 ( relation(C)
% 4.67/4.85 => ( C = relation_composition(A,B)
% 4.67/4.85 <=> ! [D,E] :
% 4.67/4.85 ( in(ordered_pair(D,E),C)
% 4.67/4.85 <=> ? [F] :
% 4.67/4.85 ( in(ordered_pair(D,F),A)
% 4.67/4.85 & in(ordered_pair(F,E),B) ) ) ) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d8_relat_2,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ! [B] :
% 4.67/4.85 ( is_transitive_in(A,B)
% 4.67/4.85 <=> ! [C,D,E] :
% 4.67/4.85 ( ( in(C,B)
% 4.67/4.85 & in(D,B)
% 4.67/4.85 & in(E,B)
% 4.67/4.85 & in(ordered_pair(C,D),A)
% 4.67/4.85 & in(ordered_pair(D,E),A) )
% 4.67/4.85 => in(ordered_pair(C,E),A) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d8_setfam_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( element(B,powerset(powerset(A)))
% 4.67/4.85 => ! [C] :
% 4.67/4.85 ( element(C,powerset(powerset(A)))
% 4.67/4.85 => ( C = complements_of_subsets(A,B)
% 4.67/4.85 <=> ! [D] :
% 4.67/4.85 ( element(D,powerset(A))
% 4.67/4.85 => ( in(D,C)
% 4.67/4.85 <=> in(subset_complement(A,D),B) ) ) ) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d8_xboole_0,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( proper_subset(A,B)
% 4.67/4.85 <=> ( subset(A,B)
% 4.67/4.85 & A != B ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d9_funct_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & function(A) )
% 4.67/4.85 => ( one_to_one(A)
% 4.67/4.85 => function_inverse(A) = relation_inverse(A) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(d9_relat_2,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => ( reflexive(A)
% 4.67/4.85 <=> is_reflexive_in(A,relation_field(A)) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k10_relat_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k1_enumset1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k1_funct_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k1_ordinal1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k1_relat_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k1_setfam_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k1_tarski,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k1_wellord1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k1_xboole_0,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k1_zfmisc_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k2_funct_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & function(A) )
% 4.67/4.85 => ( relation(function_inverse(A))
% 4.67/4.85 & function(function_inverse(A)) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k2_relat_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k2_subset_1,axiom,
% 4.67/4.85 ! [A] : element(cast_to_subset(A),powerset(A)) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k2_tarski,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k2_wellord1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => relation(relation_restriction(A,B)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k2_xboole_0,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k2_zfmisc_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k3_relat_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k3_subset_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( element(B,powerset(A))
% 4.67/4.85 => element(subset_complement(A,B),powerset(A)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k3_tarski,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k3_xboole_0,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k4_relat_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => relation(relation_inverse(A)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k4_tarski,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k4_xboole_0,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k5_relat_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & relation(B) )
% 4.67/4.85 => relation(relation_composition(A,B)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k5_setfam_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( element(B,powerset(powerset(A)))
% 4.67/4.85 => element(union_of_subsets(A,B),powerset(A)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k6_relat_1,axiom,
% 4.67/4.85 ! [A] : relation(identity_relation(A)) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k6_setfam_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( element(B,powerset(powerset(A)))
% 4.67/4.85 => element(meet_of_subsets(A,B),powerset(A)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k6_subset_1,axiom,
% 4.67/4.85 ! [A,B,C] :
% 4.67/4.85 ( ( element(B,powerset(A))
% 4.67/4.85 & element(C,powerset(A)) )
% 4.67/4.85 => element(subset_difference(A,B,C),powerset(A)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k7_relat_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( relation(A)
% 4.67/4.85 => relation(relation_dom_restriction(A,B)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k7_setfam_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( element(B,powerset(powerset(A)))
% 4.67/4.85 => element(complements_of_subsets(A,B),powerset(powerset(A))) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k8_relat_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( relation(B)
% 4.67/4.85 => relation(relation_rng_restriction(A,B)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(dt_k9_relat_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(dt_m1_subset_1,axiom,
% 4.67/4.85 $true ).
% 4.67/4.85
% 4.67/4.85 fof(existence_m1_subset_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ? [B] : element(B,A) ).
% 4.67/4.85
% 4.67/4.85 fof(fc10_relat_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ( empty(A)
% 4.67/4.85 & relation(B) )
% 4.67/4.85 => ( empty(relation_composition(B,A))
% 4.67/4.85 & relation(relation_composition(B,A)) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc11_relat_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( empty(A)
% 4.67/4.85 => ( empty(relation_inverse(A))
% 4.67/4.85 & relation(relation_inverse(A)) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc12_relat_1,axiom,
% 4.67/4.85 ( empty(empty_set)
% 4.67/4.85 & relation(empty_set)
% 4.67/4.85 & relation_empty_yielding(empty_set) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc13_relat_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & relation_empty_yielding(A) )
% 4.67/4.85 => ( relation(relation_dom_restriction(A,B))
% 4.67/4.85 & relation_empty_yielding(relation_dom_restriction(A,B)) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc1_funct_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & function(A)
% 4.67/4.85 & relation(B)
% 4.67/4.85 & function(B) )
% 4.67/4.85 => ( relation(relation_composition(A,B))
% 4.67/4.85 & function(relation_composition(A,B)) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc1_ordinal1,axiom,
% 4.67/4.85 ! [A] : ~ empty(succ(A)) ).
% 4.67/4.85
% 4.67/4.85 fof(fc1_relat_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & relation(B) )
% 4.67/4.85 => relation(set_intersection2(A,B)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc1_subset_1,axiom,
% 4.67/4.85 ! [A] : ~ empty(powerset(A)) ).
% 4.67/4.85
% 4.67/4.85 fof(fc1_xboole_0,axiom,
% 4.67/4.85 empty(empty_set) ).
% 4.67/4.85
% 4.67/4.85 fof(fc1_zfmisc_1,axiom,
% 4.67/4.85 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 4.67/4.85
% 4.67/4.85 fof(fc2_funct_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( relation(identity_relation(A))
% 4.67/4.85 & function(identity_relation(A)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc2_ordinal1,axiom,
% 4.67/4.85 ( relation(empty_set)
% 4.67/4.85 & relation_empty_yielding(empty_set)
% 4.67/4.85 & function(empty_set)
% 4.67/4.85 & one_to_one(empty_set)
% 4.67/4.85 & empty(empty_set)
% 4.67/4.85 & epsilon_transitive(empty_set)
% 4.67/4.85 & epsilon_connected(empty_set)
% 4.67/4.85 & ordinal(empty_set) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc2_relat_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & relation(B) )
% 4.67/4.85 => relation(set_union2(A,B)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc2_subset_1,axiom,
% 4.67/4.85 ! [A] : ~ empty(singleton(A)) ).
% 4.67/4.85
% 4.67/4.85 fof(fc2_xboole_0,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ~ empty(A)
% 4.67/4.85 => ~ empty(set_union2(A,B)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc3_funct_1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & function(A)
% 4.67/4.85 & one_to_one(A) )
% 4.67/4.85 => ( relation(relation_inverse(A))
% 4.67/4.85 & function(relation_inverse(A)) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc3_ordinal1,axiom,
% 4.67/4.85 ! [A] :
% 4.67/4.85 ( ordinal(A)
% 4.67/4.85 => ( ~ empty(succ(A))
% 4.67/4.85 & epsilon_transitive(succ(A))
% 4.67/4.85 & epsilon_connected(succ(A))
% 4.67/4.85 & ordinal(succ(A)) ) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc3_relat_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & relation(B) )
% 4.67/4.85 => relation(set_difference(A,B)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc3_subset_1,axiom,
% 4.67/4.85 ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 4.67/4.85
% 4.67/4.85 fof(fc3_xboole_0,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ~ empty(A)
% 4.67/4.85 => ~ empty(set_union2(B,A)) ) ).
% 4.67/4.85
% 4.67/4.85 fof(fc4_funct_1,axiom,
% 4.67/4.85 ! [A,B] :
% 4.67/4.85 ( ( relation(A)
% 4.67/4.85 & function(A) )
% 4.67/4.86 => ( relation(relation_dom_restriction(A,B))
% 4.67/4.86 & function(relation_dom_restriction(A,B)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(fc4_ordinal1,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ordinal(A)
% 4.67/4.86 => ( epsilon_transitive(union(A))
% 4.67/4.86 & epsilon_connected(union(A))
% 4.67/4.86 & ordinal(union(A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(fc4_relat_1,axiom,
% 4.67/4.86 ( empty(empty_set)
% 4.67/4.86 & relation(empty_set) ) ).
% 4.67/4.86
% 4.67/4.86 fof(fc4_subset_1,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( ~ empty(A)
% 4.67/4.86 & ~ empty(B) )
% 4.67/4.86 => ~ empty(cartesian_product2(A,B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(fc5_funct_1,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => ( relation(relation_rng_restriction(A,B))
% 4.67/4.86 & function(relation_rng_restriction(A,B)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(fc5_relat_1,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ( ~ empty(A)
% 4.67/4.86 & relation(A) )
% 4.67/4.86 => ~ empty(relation_dom(A)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(fc6_relat_1,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ( ~ empty(A)
% 4.67/4.86 & relation(A) )
% 4.67/4.86 => ~ empty(relation_rng(A)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(fc7_relat_1,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( empty(A)
% 4.67/4.86 => ( empty(relation_dom(A))
% 4.67/4.86 & relation(relation_dom(A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(fc8_relat_1,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( empty(A)
% 4.67/4.86 => ( empty(relation_rng(A))
% 4.67/4.86 & relation(relation_rng(A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(fc9_relat_1,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( empty(A)
% 4.67/4.86 & relation(B) )
% 4.67/4.86 => ( empty(relation_composition(A,B))
% 4.67/4.86 & relation(relation_composition(A,B)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(idempotence_k2_xboole_0,axiom,
% 4.67/4.86 ! [A,B] : set_union2(A,A) = A ).
% 4.67/4.86
% 4.67/4.86 fof(idempotence_k3_xboole_0,axiom,
% 4.67/4.86 ! [A,B] : set_intersection2(A,A) = A ).
% 4.67/4.86
% 4.67/4.86 fof(involutiveness_k3_subset_1,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(B,powerset(A))
% 4.67/4.86 => subset_complement(A,subset_complement(A,B)) = B ) ).
% 4.67/4.86
% 4.67/4.86 fof(involutiveness_k4_relat_1,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => relation_inverse(relation_inverse(A)) = A ) ).
% 4.67/4.86
% 4.67/4.86 fof(involutiveness_k7_setfam_1,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(B,powerset(powerset(A)))
% 4.67/4.86 => complements_of_subsets(A,complements_of_subsets(A,B)) = B ) ).
% 4.67/4.86
% 4.67/4.86 fof(irreflexivity_r2_xboole_0,axiom,
% 4.67/4.86 ! [A,B] : ~ proper_subset(A,A) ).
% 4.67/4.86
% 4.67/4.86 fof(l1_wellord1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( reflexive(A)
% 4.67/4.86 <=> ! [B] :
% 4.67/4.86 ( in(B,relation_field(A))
% 4.67/4.86 => in(ordered_pair(B,B),A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l1_zfmisc_1,lemma,
% 4.67/4.86 ! [A] : singleton(A) != empty_set ).
% 4.67/4.86
% 4.67/4.86 fof(l23_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( in(A,B)
% 4.67/4.86 => set_union2(singleton(A),B) = B ) ).
% 4.67/4.86
% 4.67/4.86 fof(l25_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ~ ( disjoint(singleton(A),B)
% 4.67/4.86 & in(A,B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l28_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ~ in(A,B)
% 4.67/4.86 => disjoint(singleton(A),B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l29_wellord1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l2_wellord1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( transitive(A)
% 4.67/4.86 <=> ! [B,C,D] :
% 4.67/4.86 ( ( in(ordered_pair(B,C),A)
% 4.67/4.86 & in(ordered_pair(C,D),A) )
% 4.67/4.86 => in(ordered_pair(B,D),A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l2_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( subset(singleton(A),B)
% 4.67/4.86 <=> in(A,B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l32_xboole_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( set_difference(A,B) = empty_set
% 4.67/4.86 <=> subset(A,B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l3_subset_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(B,powerset(A))
% 4.67/4.86 => ! [C] :
% 4.67/4.86 ( in(C,B)
% 4.67/4.86 => in(C,A) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l3_wellord1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( antisymmetric(A)
% 4.67/4.86 <=> ! [B,C] :
% 4.67/4.86 ( ( in(ordered_pair(B,C),A)
% 4.67/4.86 & in(ordered_pair(C,B),A) )
% 4.67/4.86 => B = C ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l3_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( subset(A,B)
% 4.67/4.86 => ( in(C,A)
% 4.67/4.86 | subset(A,set_difference(B,singleton(C))) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l4_wellord1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( connected(A)
% 4.67/4.86 <=> ! [B,C] :
% 4.67/4.86 ~ ( in(B,relation_field(A))
% 4.67/4.86 & in(C,relation_field(A))
% 4.67/4.86 & B != C
% 4.67/4.86 & ~ in(ordered_pair(B,C),A)
% 4.67/4.86 & ~ in(ordered_pair(C,B),A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l4_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( subset(A,singleton(B))
% 4.67/4.86 <=> ( A = empty_set
% 4.67/4.86 | A = singleton(B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l50_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( in(A,B)
% 4.67/4.86 => subset(A,union(B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l55_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C,D] :
% 4.67/4.86 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 4.67/4.86 <=> ( in(A,C)
% 4.67/4.86 & in(B,D) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l71_subset_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ! [C] :
% 4.67/4.86 ( in(C,A)
% 4.67/4.86 => in(C,B) )
% 4.67/4.86 => element(A,powerset(B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(l82_funct_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( relation(C)
% 4.67/4.86 & function(C) )
% 4.67/4.86 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 4.67/4.86 <=> ( in(B,relation_dom(C))
% 4.67/4.86 & in(B,A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc1_funct_1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 & function(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc1_ordinal1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( epsilon_transitive(A)
% 4.67/4.86 & epsilon_connected(A)
% 4.67/4.86 & ordinal(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc1_relat_1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( empty(A)
% 4.67/4.86 & relation(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc1_subset_1,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ~ empty(A)
% 4.67/4.86 => ? [B] :
% 4.67/4.86 ( element(B,powerset(A))
% 4.67/4.86 & ~ empty(B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc1_xboole_0,axiom,
% 4.67/4.86 ? [A] : empty(A) ).
% 4.67/4.86
% 4.67/4.86 fof(rc2_funct_1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 & empty(A)
% 4.67/4.86 & function(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc2_ordinal1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 & function(A)
% 4.67/4.86 & one_to_one(A)
% 4.67/4.86 & empty(A)
% 4.67/4.86 & epsilon_transitive(A)
% 4.67/4.86 & epsilon_connected(A)
% 4.67/4.86 & ordinal(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc2_relat_1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( ~ empty(A)
% 4.67/4.86 & relation(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc2_subset_1,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ? [B] :
% 4.67/4.86 ( element(B,powerset(A))
% 4.67/4.86 & empty(B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc2_xboole_0,axiom,
% 4.67/4.86 ? [A] : ~ empty(A) ).
% 4.67/4.86
% 4.67/4.86 fof(rc3_funct_1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 & function(A)
% 4.67/4.86 & one_to_one(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc3_ordinal1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( ~ empty(A)
% 4.67/4.86 & epsilon_transitive(A)
% 4.67/4.86 & epsilon_connected(A)
% 4.67/4.86 & ordinal(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc3_relat_1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 & relation_empty_yielding(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(rc4_funct_1,axiom,
% 4.67/4.86 ? [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 & relation_empty_yielding(A)
% 4.67/4.86 & function(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(redefinition_k5_setfam_1,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(B,powerset(powerset(A)))
% 4.67/4.86 => union_of_subsets(A,B) = union(B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(redefinition_k6_setfam_1,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(B,powerset(powerset(A)))
% 4.67/4.86 => meet_of_subsets(A,B) = set_meet(B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(redefinition_k6_subset_1,axiom,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( element(B,powerset(A))
% 4.67/4.86 & element(C,powerset(A)) )
% 4.67/4.86 => subset_difference(A,B,C) = set_difference(B,C) ) ).
% 4.67/4.86
% 4.67/4.86 fof(redefinition_r1_ordinal1,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( ordinal(A)
% 4.67/4.86 & ordinal(B) )
% 4.67/4.86 => ( ordinal_subset(A,B)
% 4.67/4.86 <=> subset(A,B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(reflexivity_r1_ordinal1,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( ordinal(A)
% 4.67/4.86 & ordinal(B) )
% 4.67/4.86 => ordinal_subset(A,A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(reflexivity_r1_tarski,axiom,
% 4.67/4.86 ! [A,B] : subset(A,A) ).
% 4.67/4.86
% 4.67/4.86 fof(symmetry_r1_xboole_0,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( disjoint(A,B)
% 4.67/4.86 => disjoint(B,A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t106_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C,D] :
% 4.67/4.86 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 4.67/4.86 <=> ( in(A,C)
% 4.67/4.86 & in(B,D) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t10_ordinal1,lemma,
% 4.67/4.86 ! [A] : in(A,succ(A)) ).
% 4.67/4.86
% 4.67/4.86 fof(t10_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C,D] :
% 4.67/4.86 ~ ( unordered_pair(A,B) = unordered_pair(C,D)
% 4.67/4.86 & A != C
% 4.67/4.86 & A != D ) ).
% 4.67/4.86
% 4.67/4.86 fof(t115_relat_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => ( in(A,relation_rng(relation_rng_restriction(B,C)))
% 4.67/4.86 <=> ( in(A,B)
% 4.67/4.86 & in(A,relation_rng(C)) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t116_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_rng(relation_rng_restriction(A,B)),A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t117_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_rng_restriction(A,B),B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t118_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t118_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( subset(A,B)
% 4.67/4.86 => ( subset(cartesian_product2(A,C),cartesian_product2(B,C))
% 4.67/4.86 & subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t119_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => relation_rng(relation_rng_restriction(A,B)) = set_intersection2(relation_rng(B),A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t119_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C,D] :
% 4.67/4.86 ( ( subset(A,B)
% 4.67/4.86 & subset(C,D) )
% 4.67/4.86 => subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t12_xboole_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( subset(A,B)
% 4.67/4.86 => set_union2(A,B) = B ) ).
% 4.67/4.86
% 4.67/4.86 fof(t136_zfmisc_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ? [B] :
% 4.67/4.86 ( in(A,B)
% 4.67/4.86 & ! [C,D] :
% 4.67/4.86 ( ( in(C,B)
% 4.67/4.86 & subset(D,C) )
% 4.67/4.86 => in(D,B) )
% 4.67/4.86 & ! [C] :
% 4.67/4.86 ( in(C,B)
% 4.67/4.86 => in(powerset(C),B) )
% 4.67/4.86 & ! [C] :
% 4.67/4.86 ~ ( subset(C,B)
% 4.67/4.86 & ~ are_equipotent(C,B)
% 4.67/4.86 & ~ in(C,B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t140_relat_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t143_relat_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => ( in(A,relation_image(C,B))
% 4.67/4.86 <=> ? [D] :
% 4.67/4.86 ( in(D,relation_dom(C))
% 4.67/4.86 & in(ordered_pair(D,A),C)
% 4.67/4.86 & in(D,B) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t144_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_image(B,A),relation_rng(B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t145_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => subset(relation_image(B,relation_inverse_image(B,A)),A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t145_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => relation_image(B,A) = relation_image(B,set_intersection2(relation_dom(B),A)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t146_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( subset(A,relation_dom(B))
% 4.67/4.86 => subset(A,relation_inverse_image(B,relation_image(B,A))) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t146_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => relation_image(A,relation_dom(A)) = relation_rng(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t147_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => ( subset(A,relation_rng(B))
% 4.67/4.86 => relation_image(B,relation_inverse_image(B,A)) = A ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t160_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => relation_rng(relation_composition(A,B)) = relation_image(B,relation_rng(A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t166_relat_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => ( in(A,relation_inverse_image(C,B))
% 4.67/4.86 <=> ? [D] :
% 4.67/4.86 ( in(D,relation_rng(C))
% 4.67/4.86 & in(ordered_pair(A,D),C)
% 4.67/4.86 & in(D,B) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t167_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_inverse_image(B,A),relation_dom(B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t16_wellord1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => ( in(A,relation_restriction(C,B))
% 4.67/4.86 <=> ( in(A,C)
% 4.67/4.86 & in(A,cartesian_product2(B,B)) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t174_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ~ ( A != empty_set
% 4.67/4.86 & subset(A,relation_rng(B))
% 4.67/4.86 & relation_inverse_image(B,A) = empty_set ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t178_relat_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => ( subset(A,B)
% 4.67/4.86 => subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t17_wellord1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t17_xboole_1,lemma,
% 4.67/4.86 ! [A,B] : subset(set_intersection2(A,B),A) ).
% 4.67/4.86
% 4.67/4.86 fof(t18_wellord1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t19_wellord1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => ( in(A,relation_field(relation_restriction(C,B)))
% 4.67/4.86 => ( in(A,relation_field(C))
% 4.67/4.86 & in(A,B) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t19_xboole_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( subset(A,B)
% 4.67/4.86 & subset(A,C) )
% 4.67/4.86 => subset(A,set_intersection2(B,C)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t1_boole,axiom,
% 4.67/4.86 ! [A] : set_union2(A,empty_set) = A ).
% 4.67/4.86
% 4.67/4.86 fof(t1_subset,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( in(A,B)
% 4.67/4.86 => element(A,B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t1_xboole_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( subset(A,B)
% 4.67/4.86 & subset(B,C) )
% 4.67/4.86 => subset(A,C) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t1_zfmisc_1,lemma,
% 4.67/4.86 powerset(empty_set) = singleton(empty_set) ).
% 4.67/4.86
% 4.67/4.86 fof(t20_relat_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => ( in(ordered_pair(A,B),C)
% 4.67/4.86 => ( in(A,relation_dom(C))
% 4.67/4.86 & in(B,relation_rng(C)) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t20_wellord1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( subset(relation_field(relation_restriction(B,A)),relation_field(B))
% 4.67/4.86 & subset(relation_field(relation_restriction(B,A)),A) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t21_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => ! [C] :
% 4.67/4.86 ( ( relation(C)
% 4.67/4.86 & function(C) )
% 4.67/4.86 => ( in(A,relation_dom(relation_composition(C,B)))
% 4.67/4.86 <=> ( in(A,relation_dom(C))
% 4.67/4.86 & in(apply(C,A),relation_dom(B)) ) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t21_ordinal1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( epsilon_transitive(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( ordinal(B)
% 4.67/4.86 => ( proper_subset(A,B)
% 4.67/4.86 => in(A,B) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t21_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t21_wellord1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => subset(fiber(relation_restriction(C,A),B),fiber(C,B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t22_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => ! [C] :
% 4.67/4.86 ( ( relation(C)
% 4.67/4.86 & function(C) )
% 4.67/4.86 => ( in(A,relation_dom(relation_composition(C,B)))
% 4.67/4.86 => apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t22_wellord1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( reflexive(B)
% 4.67/4.86 => reflexive(relation_restriction(B,A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t23_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => ! [C] :
% 4.67/4.86 ( ( relation(C)
% 4.67/4.86 & function(C) )
% 4.67/4.86 => ( in(A,relation_dom(B))
% 4.67/4.86 => apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t23_ordinal1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ordinal(B)
% 4.67/4.86 => ( in(A,B)
% 4.67/4.86 => ordinal(A) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t23_wellord1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( connected(B)
% 4.67/4.86 => connected(relation_restriction(B,A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t24_ordinal1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ordinal(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( ordinal(B)
% 4.67/4.86 => ~ ( ~ in(A,B)
% 4.67/4.86 & A != B
% 4.67/4.86 & ~ in(B,A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t24_wellord1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( transitive(B)
% 4.67/4.86 => transitive(relation_restriction(B,A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t25_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( subset(A,B)
% 4.67/4.86 => ( subset(relation_dom(A),relation_dom(B))
% 4.67/4.86 & subset(relation_rng(A),relation_rng(B)) ) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t25_wellord1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( antisymmetric(B)
% 4.67/4.86 => antisymmetric(relation_restriction(B,A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t26_xboole_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( subset(A,B)
% 4.67/4.86 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t28_xboole_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( subset(A,B)
% 4.67/4.86 => set_intersection2(A,B) = A ) ).
% 4.67/4.86
% 4.67/4.86 fof(t2_boole,axiom,
% 4.67/4.86 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 4.67/4.86
% 4.67/4.86 fof(t2_subset,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(A,B)
% 4.67/4.86 => ( empty(B)
% 4.67/4.86 | in(A,B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t2_tarski,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ! [C] :
% 4.67/4.86 ( in(C,A)
% 4.67/4.86 <=> in(C,B) )
% 4.67/4.86 => A = B ) ).
% 4.67/4.86
% 4.67/4.86 fof(t2_xboole_1,lemma,
% 4.67/4.86 ! [A] : subset(empty_set,A) ).
% 4.67/4.86
% 4.67/4.86 fof(t30_relat_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => ( in(ordered_pair(A,B),C)
% 4.67/4.86 => ( in(A,relation_field(C))
% 4.67/4.86 & in(B,relation_field(C)) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t31_ordinal1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ! [B] :
% 4.67/4.86 ( in(B,A)
% 4.67/4.86 => ( ordinal(B)
% 4.67/4.86 & subset(B,A) ) )
% 4.67/4.86 => ordinal(A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t31_wellord1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( well_founded_relation(B)
% 4.67/4.86 => well_founded_relation(relation_restriction(B,A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t32_ordinal1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ordinal(B)
% 4.67/4.86 => ~ ( subset(A,B)
% 4.67/4.86 & A != empty_set
% 4.67/4.86 & ! [C] :
% 4.67/4.86 ( ordinal(C)
% 4.67/4.86 => ~ ( in(C,A)
% 4.67/4.86 & ! [D] :
% 4.67/4.86 ( ordinal(D)
% 4.67/4.86 => ( in(D,A)
% 4.67/4.86 => ordinal_subset(C,D) ) ) ) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t32_wellord1,conjecture,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( well_ordering(B)
% 4.67/4.86 => well_ordering(relation_restriction(B,A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t33_ordinal1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ordinal(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( ordinal(B)
% 4.67/4.86 => ( in(A,B)
% 4.67/4.86 <=> ordinal_subset(succ(A),B) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t33_xboole_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( subset(A,B)
% 4.67/4.86 => subset(set_difference(A,C),set_difference(B,C)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t33_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C,D] :
% 4.67/4.86 ( ordered_pair(A,B) = ordered_pair(C,D)
% 4.67/4.86 => ( A = C
% 4.67/4.86 & B = D ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t34_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => ( B = identity_relation(A)
% 4.67/4.86 <=> ( relation_dom(B) = A
% 4.67/4.86 & ! [C] :
% 4.67/4.86 ( in(C,A)
% 4.67/4.86 => apply(B,C) = C ) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t35_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( in(B,A)
% 4.67/4.86 => apply(identity_relation(A),B) = B ) ).
% 4.67/4.86
% 4.67/4.86 fof(t36_xboole_1,lemma,
% 4.67/4.86 ! [A,B] : subset(set_difference(A,B),A) ).
% 4.67/4.86
% 4.67/4.86 fof(t37_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( relation_rng(A) = relation_dom(relation_inverse(A))
% 4.67/4.86 & relation_dom(A) = relation_rng(relation_inverse(A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t37_xboole_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( set_difference(A,B) = empty_set
% 4.67/4.86 <=> subset(A,B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t37_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( subset(singleton(A),B)
% 4.67/4.86 <=> in(A,B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t38_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( subset(unordered_pair(A,B),C)
% 4.67/4.86 <=> ( in(A,C)
% 4.67/4.86 & in(B,C) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t39_xboole_1,lemma,
% 4.67/4.86 ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
% 4.67/4.86
% 4.67/4.86 fof(t39_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( subset(A,singleton(B))
% 4.67/4.86 <=> ( A = empty_set
% 4.67/4.86 | A = singleton(B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t3_boole,axiom,
% 4.67/4.86 ! [A] : set_difference(A,empty_set) = A ).
% 4.67/4.86
% 4.67/4.86 fof(t3_ordinal1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ~ ( in(A,B)
% 4.67/4.86 & in(B,C)
% 4.67/4.86 & in(C,A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t3_subset,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(A,powerset(B))
% 4.67/4.86 <=> subset(A,B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t3_xboole_0,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ~ ( ~ disjoint(A,B)
% 4.67/4.86 & ! [C] :
% 4.67/4.86 ~ ( in(C,A)
% 4.67/4.86 & in(C,B) ) )
% 4.67/4.86 & ~ ( ? [C] :
% 4.67/4.86 ( in(C,A)
% 4.67/4.86 & in(C,B) )
% 4.67/4.86 & disjoint(A,B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t3_xboole_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( subset(A,empty_set)
% 4.67/4.86 => A = empty_set ) ).
% 4.67/4.86
% 4.67/4.86 fof(t40_xboole_1,lemma,
% 4.67/4.86 ! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
% 4.67/4.86
% 4.67/4.86 fof(t41_ordinal1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ordinal(A)
% 4.67/4.86 => ( being_limit_ordinal(A)
% 4.67/4.86 <=> ! [B] :
% 4.67/4.86 ( ordinal(B)
% 4.67/4.86 => ( in(B,A)
% 4.67/4.86 => in(succ(B),A) ) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t42_ordinal1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ordinal(A)
% 4.67/4.86 => ( ~ ( ~ being_limit_ordinal(A)
% 4.67/4.86 & ! [B] :
% 4.67/4.86 ( ordinal(B)
% 4.67/4.86 => A != succ(B) ) )
% 4.67/4.86 & ~ ( ? [B] :
% 4.67/4.86 ( ordinal(B)
% 4.67/4.86 & A = succ(B) )
% 4.67/4.86 & being_limit_ordinal(A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t43_subset_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(B,powerset(A))
% 4.67/4.86 => ! [C] :
% 4.67/4.86 ( element(C,powerset(A))
% 4.67/4.86 => ( disjoint(B,C)
% 4.67/4.86 <=> subset(B,subset_complement(A,C)) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t44_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_dom(relation_composition(A,B)),relation_dom(A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t45_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_rng(relation_composition(A,B)),relation_rng(B)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t45_xboole_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( subset(A,B)
% 4.67/4.86 => B = set_union2(A,set_difference(B,A)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t46_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( subset(relation_rng(A),relation_dom(B))
% 4.67/4.86 => relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t46_setfam_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(B,powerset(powerset(A)))
% 4.67/4.86 => ~ ( B != empty_set
% 4.67/4.86 & complements_of_subsets(A,B) = empty_set ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t46_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( in(A,B)
% 4.67/4.86 => set_union2(singleton(A),B) = B ) ).
% 4.67/4.86
% 4.67/4.86 fof(t47_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => ( subset(relation_dom(A),relation_rng(B))
% 4.67/4.86 => relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t47_setfam_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(B,powerset(powerset(A)))
% 4.67/4.86 => ( B != empty_set
% 4.67/4.86 => subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t48_setfam_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( element(B,powerset(powerset(A)))
% 4.67/4.86 => ( B != empty_set
% 4.67/4.86 => union_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t48_xboole_1,lemma,
% 4.67/4.86 ! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
% 4.67/4.86
% 4.67/4.86 fof(t4_boole,axiom,
% 4.67/4.86 ! [A] : set_difference(empty_set,A) = empty_set ).
% 4.67/4.86
% 4.67/4.86 fof(t4_subset,axiom,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( in(A,B)
% 4.67/4.86 & element(B,powerset(C)) )
% 4.67/4.86 => element(A,C) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t4_xboole_0,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ~ ( ~ disjoint(A,B)
% 4.67/4.86 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 4.67/4.86 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 4.67/4.86 & disjoint(A,B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t50_subset_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( A != empty_set
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( element(B,powerset(A))
% 4.67/4.86 => ! [C] :
% 4.67/4.86 ( element(C,A)
% 4.67/4.86 => ( ~ in(C,B)
% 4.67/4.86 => in(C,subset_complement(A,B)) ) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t54_funct_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ( relation(A)
% 4.67/4.86 & function(A) )
% 4.67/4.86 => ( one_to_one(A)
% 4.67/4.86 => ! [B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => ( B = function_inverse(A)
% 4.67/4.86 <=> ( relation_dom(B) = relation_rng(A)
% 4.67/4.86 & ! [C,D] :
% 4.67/4.86 ( ( ( in(C,relation_rng(A))
% 4.67/4.86 & D = apply(B,C) )
% 4.67/4.86 => ( in(D,relation_dom(A))
% 4.67/4.86 & C = apply(A,D) ) )
% 4.67/4.86 & ( ( in(D,relation_dom(A))
% 4.67/4.86 & C = apply(A,D) )
% 4.67/4.86 => ( in(C,relation_rng(A))
% 4.67/4.86 & D = apply(B,C) ) ) ) ) ) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t54_subset_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( element(C,powerset(A))
% 4.67/4.86 => ~ ( in(B,subset_complement(A,C))
% 4.67/4.86 & in(B,C) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t55_funct_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ( relation(A)
% 4.67/4.86 & function(A) )
% 4.67/4.86 => ( one_to_one(A)
% 4.67/4.86 => ( relation_rng(A) = relation_dom(function_inverse(A))
% 4.67/4.86 & relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t56_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( ! [B,C] : ~ in(ordered_pair(B,C),A)
% 4.67/4.86 => A = empty_set ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t57_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => ( ( one_to_one(B)
% 4.67/4.86 & in(A,relation_rng(B)) )
% 4.67/4.86 => ( A = apply(B,apply(function_inverse(B),A))
% 4.67/4.86 & A = apply(relation_composition(function_inverse(B),B),A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t5_subset,axiom,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ~ ( in(A,B)
% 4.67/4.86 & element(B,powerset(C))
% 4.67/4.86 & empty(C) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t5_wellord1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( well_founded_relation(A)
% 4.67/4.86 <=> is_well_founded_in(A,relation_field(A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t60_relat_1,lemma,
% 4.67/4.86 ( relation_dom(empty_set) = empty_set
% 4.67/4.86 & relation_rng(empty_set) = empty_set ) ).
% 4.67/4.86
% 4.67/4.86 fof(t60_xboole_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ~ ( subset(A,B)
% 4.67/4.86 & proper_subset(B,A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t62_funct_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( ( relation(A)
% 4.67/4.86 & function(A) )
% 4.67/4.86 => ( one_to_one(A)
% 4.67/4.86 => one_to_one(function_inverse(A)) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t63_xboole_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( subset(A,B)
% 4.67/4.86 & disjoint(B,C) )
% 4.67/4.86 => disjoint(A,C) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t64_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( ( relation_dom(A) = empty_set
% 4.67/4.86 | relation_rng(A) = empty_set )
% 4.67/4.86 => A = empty_set ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t65_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( relation_dom(A) = empty_set
% 4.67/4.86 <=> relation_rng(A) = empty_set ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t65_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( set_difference(A,singleton(B)) = A
% 4.67/4.86 <=> ~ in(B,A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t68_funct_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( ( relation(B)
% 4.67/4.86 & function(B) )
% 4.67/4.86 => ! [C] :
% 4.67/4.86 ( ( relation(C)
% 4.67/4.86 & function(C) )
% 4.67/4.86 => ( B = relation_dom_restriction(C,A)
% 4.67/4.86 <=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)
% 4.67/4.86 & ! [D] :
% 4.67/4.86 ( in(D,relation_dom(B))
% 4.67/4.86 => apply(B,D) = apply(C,D) ) ) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t69_enumset1,lemma,
% 4.67/4.86 ! [A] : unordered_pair(A,A) = singleton(A) ).
% 4.67/4.86
% 4.67/4.86 fof(t6_boole,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( empty(A)
% 4.67/4.86 => A = empty_set ) ).
% 4.67/4.86
% 4.67/4.86 fof(t6_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( subset(singleton(A),singleton(B))
% 4.67/4.86 => A = B ) ).
% 4.67/4.86
% 4.67/4.86 fof(t70_funct_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( relation(C)
% 4.67/4.86 & function(C) )
% 4.67/4.86 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 4.67/4.86 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t71_relat_1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation_dom(identity_relation(A)) = A
% 4.67/4.86 & relation_rng(identity_relation(A)) = A ) ).
% 4.67/4.86
% 4.67/4.86 fof(t72_funct_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( relation(C)
% 4.67/4.86 & function(C) )
% 4.67/4.86 => ( in(B,A)
% 4.67/4.86 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t74_relat_1,lemma,
% 4.67/4.86 ! [A,B,C,D] :
% 4.67/4.86 ( relation(D)
% 4.67/4.86 => ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))
% 4.67/4.86 <=> ( in(A,C)
% 4.67/4.86 & in(ordered_pair(A,B),D) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t7_boole,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ~ ( in(A,B)
% 4.67/4.86 & empty(B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t7_tarski,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ~ ( in(A,B)
% 4.67/4.86 & ! [C] :
% 4.67/4.86 ~ ( in(C,B)
% 4.67/4.86 & ! [D] :
% 4.67/4.86 ~ ( in(D,B)
% 4.67/4.86 & in(D,C) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t7_xboole_1,lemma,
% 4.67/4.86 ! [A,B] : subset(A,set_union2(A,B)) ).
% 4.67/4.86
% 4.67/4.86 fof(t83_xboole_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( disjoint(A,B)
% 4.67/4.86 <=> set_difference(A,B) = A ) ).
% 4.67/4.86
% 4.67/4.86 fof(t86_relat_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( relation(C)
% 4.67/4.86 => ( in(A,relation_dom(relation_dom_restriction(C,B)))
% 4.67/4.86 <=> ( in(A,B)
% 4.67/4.86 & in(A,relation_dom(C)) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t88_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_dom_restriction(B,A),B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t8_boole,axiom,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ~ ( empty(A)
% 4.67/4.86 & A != B
% 4.67/4.86 & empty(B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t8_funct_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( relation(C)
% 4.67/4.86 & function(C) )
% 4.67/4.86 => ( in(ordered_pair(A,B),C)
% 4.67/4.86 <=> ( in(A,relation_dom(C))
% 4.67/4.86 & B = apply(C,A) ) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t8_wellord1,lemma,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ( relation(A)
% 4.67/4.86 => ( well_orders(A,relation_field(A))
% 4.67/4.86 <=> well_ordering(A) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t8_xboole_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( ( subset(A,B)
% 4.67/4.86 & subset(C,B) )
% 4.67/4.86 => subset(set_union2(A,C),B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t8_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( singleton(A) = unordered_pair(B,C)
% 4.67/4.86 => A = B ) ).
% 4.67/4.86
% 4.67/4.86 fof(t90_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => relation_dom(relation_dom_restriction(B,A)) = set_intersection2(relation_dom(B),A) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t92_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( in(A,B)
% 4.67/4.86 => subset(A,union(B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t94_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => relation_dom_restriction(B,A) = relation_composition(identity_relation(A),B) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t99_relat_1,lemma,
% 4.67/4.86 ! [A,B] :
% 4.67/4.86 ( relation(B)
% 4.67/4.86 => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t99_zfmisc_1,lemma,
% 4.67/4.86 ! [A] : union(powerset(A)) = A ).
% 4.67/4.86
% 4.67/4.86 fof(t9_tarski,axiom,
% 4.67/4.86 ! [A] :
% 4.67/4.86 ? [B] :
% 4.67/4.86 ( in(A,B)
% 4.67/4.86 & ! [C,D] :
% 4.67/4.86 ( ( in(C,B)
% 4.67/4.86 & subset(D,C) )
% 4.67/4.86 => in(D,B) )
% 4.67/4.86 & ! [C] :
% 4.67/4.86 ~ ( in(C,B)
% 4.67/4.86 & ! [D] :
% 4.67/4.86 ~ ( in(D,B)
% 4.67/4.86 & ! [E] :
% 4.67/4.86 ( subset(E,C)
% 4.67/4.86 => in(E,D) ) ) )
% 4.67/4.86 & ! [C] :
% 4.67/4.86 ~ ( subset(C,B)
% 4.67/4.86 & ~ are_equipotent(C,B)
% 4.67/4.86 & ~ in(C,B) ) ) ).
% 4.67/4.86
% 4.67/4.86 fof(t9_zfmisc_1,lemma,
% 4.67/4.86 ! [A,B,C] :
% 4.67/4.86 ( singleton(A) = unordered_pair(B,C)
% 4.67/4.86 => B = C ) ).
% 4.67/4.86
% 4.67/4.86 %------------------------------------------------------------------------------
% 4.67/4.86 %-------------------------------------------
% 4.67/4.86 % Proof found
% 4.67/4.86 % SZS status Theorem for theBenchmark
% 4.67/4.86 % SZS output start Proof
% 4.67/4.87 %ClaNum:976(EqnAxiom:332)
% 4.67/4.87 %VarNum:4531(SingletonVarNum:1307)
% 4.67/4.87 %MaxLitNum:11
% 4.67/4.87 %MaxfuncDepth:4
% 4.67/4.87 %SharedTerms:67
% 4.67/4.87 %goalClause: 372 376 417
% 4.67/4.87 %singleGoalClaCount:3
% 4.67/4.87 [338]P1(a1)
% 4.67/4.87 [339]P1(a6)
% 4.67/4.87 [340]P1(a120)
% 4.67/4.87 [341]P1(a122)
% 4.67/4.87 [342]P1(a123)
% 4.67/4.87 [343]P8(a1)
% 4.67/4.87 [344]P8(a7)
% 4.67/4.87 [345]P8(a122)
% 4.67/4.87 [346]P8(a123)
% 4.67/4.87 [347]P8(a124)
% 4.67/4.87 [348]P8(a8)
% 4.67/4.87 [349]P11(a1)
% 4.67/4.87 [350]P11(a118)
% 4.67/4.87 [351]P11(a123)
% 4.67/4.87 [352]P11(a128)
% 4.67/4.87 [353]P9(a1)
% 4.67/4.87 [354]P9(a118)
% 4.67/4.87 [355]P9(a123)
% 4.67/4.87 [356]P9(a128)
% 4.67/4.87 [357]P10(a1)
% 4.67/4.87 [358]P10(a118)
% 4.67/4.87 [359]P10(a123)
% 4.67/4.87 [360]P10(a128)
% 4.67/4.87 [363]P19(a1)
% 4.67/4.87 [364]P19(a7)
% 4.67/4.87 [365]P19(a6)
% 4.67/4.87 [366]P19(a122)
% 4.67/4.87 [367]P19(a123)
% 4.67/4.87 [368]P19(a125)
% 4.67/4.87 [369]P19(a124)
% 4.67/4.87 [370]P19(a9)
% 4.67/4.87 [371]P19(a8)
% 4.67/4.87 [372]P19(a10)
% 4.67/4.87 [373]P12(a1)
% 4.67/4.87 [374]P12(a123)
% 4.67/4.87 [375]P12(a124)
% 4.67/4.87 [376]P23(a10)
% 4.67/4.87 [378]P24(a1)
% 4.67/4.87 [379]P24(a9)
% 4.67/4.87 [380]P24(a8)
% 4.67/4.87 [411]~P1(a125)
% 4.67/4.87 [412]~P1(a127)
% 4.67/4.87 [413]~P1(a128)
% 4.67/4.87 [333]E(f5(a1),a1)
% 4.67/4.87 [334]E(f136(a1),a1)
% 4.67/4.87 [392]E(f150(a1,a1),f133(a1))
% 4.67/4.87 [417]~P23(f137(a10,a12))
% 4.67/4.87 [389]P25(a1,x3891)
% 4.67/4.87 [393]P25(x3931,x3931)
% 4.67/4.87 [416]~P20(x4161,x4161)
% 4.67/4.87 [381]P1(f126(x3811))
% 4.67/4.87 [382]P8(f129(x3821))
% 4.67/4.87 [384]P19(f129(x3841))
% 4.67/4.87 [388]E(f144(a1,x3881),a1)
% 4.67/4.87 [390]E(f146(x3901,a1),x3901)
% 4.67/4.87 [391]E(f144(x3911,a1),x3911)
% 4.67/4.87 [394]E(f146(x3941,x3941),x3941)
% 4.67/4.87 [395]P13(x3951,f11(x3951))
% 4.67/4.87 [396]P13(x3961,f18(x3961))
% 4.67/4.87 [397]P2(x3971,f133(x3971))
% 4.67/4.87 [398]P2(f34(x3981),x3981)
% 4.67/4.87 [399]P2(f126(x3991),f133(x3991))
% 4.67/4.87 [414]~P1(f133(x4141))
% 4.67/4.87 [415]~E(f150(x4151,x4151),a1)
% 4.67/4.87 [385]E(f5(f129(x3851)),x3851)
% 4.67/4.87 [386]E(f143(f133(x3861)),x3861)
% 4.67/4.87 [387]E(f136(f129(x3871)),x3871)
% 4.67/4.87 [402]E(f144(x4021,f144(x4021,a1)),a1)
% 4.67/4.87 [405]E(f144(x4051,f144(x4051,x4051)),x4051)
% 4.67/4.87 [409]P13(x4091,f146(x4091,f150(x4091,x4091)))
% 4.67/4.87 [420]~P1(f146(x4201,f150(x4201,x4201)))
% 4.67/4.87 [400]E(f150(x4001,x4002),f150(x4002,x4001))
% 4.67/4.87 [401]E(f146(x4011,x4012),f146(x4012,x4011))
% 4.67/4.87 [403]P25(x4031,f146(x4031,x4032))
% 4.67/4.87 [404]P25(f144(x4041,x4042),x4041)
% 4.67/4.87 [418]~P1(f150(x4181,x4182))
% 4.67/4.87 [406]E(f146(x4061,f144(x4062,x4061)),f146(x4061,x4062))
% 4.67/4.87 [407]E(f144(f146(x4071,x4072),x4072),f144(x4071,x4072))
% 4.67/4.87 [408]E(f144(x4081,f144(x4081,x4082)),f144(x4082,f144(x4082,x4081)))
% 4.67/4.87 [422]~P1(x4221)+E(x4221,a1)
% 4.67/4.87 [424]~P1(x4241)+P8(x4241)
% 4.67/4.87 [425]~P1(x4251)+P11(x4251)
% 4.67/4.87 [426]~P1(x4261)+P9(x4261)
% 4.67/4.87 [428]~P11(x4281)+P9(x4281)
% 4.67/4.87 [429]~P1(x4291)+P10(x4291)
% 4.67/4.87 [431]~P11(x4311)+P10(x4311)
% 4.67/4.87 [432]~P1(x4321)+P19(x4321)
% 4.67/4.87 [466]~P25(x4661,a1)+E(x4661,a1)
% 4.67/4.87 [434]~P3(x4341)+E(f143(x4341),x4341)
% 4.67/4.87 [435]P3(x4351)+~E(f143(x4351),x4351)
% 4.67/4.87 [439]P10(x4391)+~E(f35(x4391),f36(x4391))
% 4.67/4.87 [440]~P1(x4401)+P1(f5(x4401))
% 4.67/4.87 [441]~P1(x4411)+P1(f136(x4411))
% 4.67/4.87 [442]~P1(x4421)+P1(f138(x4421))
% 4.67/4.87 [443]~P11(x4431)+P11(f143(x4431))
% 4.67/4.87 [444]~P11(x4441)+P9(f143(x4441))
% 4.67/4.87 [445]~P11(x4451)+P10(f143(x4451))
% 4.67/4.87 [446]~P1(x4461)+P19(f5(x4461))
% 4.67/4.87 [447]~P1(x4471)+P19(f136(x4471))
% 4.67/4.87 [448]~P1(x4481)+P19(f138(x4481))
% 4.67/4.87 [449]~P19(x4491)+P19(f138(x4491))
% 4.67/4.87 [463]P1(x4631)+~P1(f121(x4631))
% 4.67/4.87 [467]P13(f38(x4671),x4671)+E(x4671,a1)
% 4.67/4.87 [474]P11(x4741)+P13(f13(x4741),x4741)
% 4.67/4.87 [475]P9(x4751)+P13(f56(x4751),x4751)
% 4.67/4.87 [476]P10(x4761)+P13(f36(x4761),x4761)
% 4.67/4.87 [477]P10(x4771)+P13(f35(x4771),x4771)
% 4.67/4.87 [478]P19(x4781)+P13(f39(x4781),x4781)
% 4.67/4.87 [489]P1(x4891)+P2(f121(x4891),f133(x4891))
% 4.67/4.87 [506]P9(x5061)+~P25(f56(x5061),x5061)
% 4.67/4.87 [579]P10(x5791)+~P13(f36(x5791),f35(x5791))
% 4.67/4.87 [580]P10(x5801)+~P13(f35(x5801),f36(x5801))
% 4.67/4.87 [452]~P19(x4521)+E(f138(f138(x4521)),x4521)
% 4.67/4.87 [464]~P19(x4641)+E(f136(f138(x4641)),f5(x4641))
% 4.67/4.87 [465]~P19(x4651)+E(f5(f138(x4651)),f136(x4651))
% 4.67/4.87 [490]~P19(x4901)+E(f139(x4901,f5(x4901)),f136(x4901))
% 4.67/4.87 [517]~P19(x5171)+E(f146(f5(x5171),f136(x5171)),f140(x5171))
% 4.67/4.87 [663]~P19(x6631)+P25(x6631,f3(f5(x6631),f136(x6631)))
% 4.67/4.87 [707]~P11(x7071)+P11(f146(x7071,f150(x7071,x7071)))
% 4.67/4.87 [708]~P11(x7081)+P9(f146(x7081,f150(x7081,x7081)))
% 4.67/4.87 [709]~P11(x7091)+P10(f146(x7091,f150(x7091,x7091)))
% 4.67/4.87 [451]~E(x4511,x4512)+P25(x4511,x4512)
% 4.67/4.87 [479]~P13(x4792,x4791)+~E(x4791,a1)
% 4.67/4.87 [481]~P20(x4811,x4812)+~E(x4811,x4812)
% 4.67/4.87 [488]~P1(x4881)+~P13(x4882,x4881)
% 4.67/4.87 [511]~P20(x5111,x5112)+P25(x5111,x5112)
% 4.67/4.87 [512]~P13(x5121,x5122)+P2(x5121,x5122)
% 4.67/4.87 [513]~P7(x5132,x5131)+P7(x5131,x5132)
% 4.67/4.87 [571]~P13(x5712,x5711)+~P13(x5711,x5712)
% 4.67/4.87 [572]~P20(x5722,x5721)+~P20(x5721,x5722)
% 4.67/4.87 [573]~P25(x5732,x5731)+~P20(x5731,x5732)
% 4.67/4.87 [508]~P25(x5081,x5082)+E(f144(x5081,x5082),a1)
% 4.67/4.87 [510]P25(x5101,x5102)+~E(f144(x5101,x5102),a1)
% 4.67/4.87 [514]~P19(x5141)+P19(f141(x5141,x5142))
% 4.67/4.87 [515]~P19(x5152)+P19(f145(x5151,x5152))
% 4.67/4.87 [516]~P19(x5161)+P19(f137(x5161,x5162))
% 4.67/4.87 [518]~P25(x5181,x5182)+E(f146(x5181,x5182),x5182)
% 4.67/4.87 [519]~P7(x5191,x5192)+E(f144(x5191,x5192),x5191)
% 4.67/4.87 [520]P7(x5201,x5202)+~E(f144(x5201,x5202),x5201)
% 4.67/4.87 [534]~E(x5341,a1)+P25(x5341,f150(x5342,x5342))
% 4.67/4.87 [536]~P13(x5361,x5362)+P25(x5361,f143(x5362))
% 4.67/4.87 [537]~P25(x5371,x5372)+P2(x5371,f133(x5372))
% 4.67/4.87 [583]P25(x5831,x5832)+~P2(x5831,f133(x5832))
% 4.67/4.87 [584]~P19(x5841)+P25(f141(x5841,x5842),x5841)
% 4.67/4.87 [585]~P19(x5852)+P25(f145(x5851,x5852),x5852)
% 4.67/4.87 [594]P1(x5941)+~P1(f146(x5942,x5941))
% 4.67/4.87 [595]P1(x5951)+~P1(f146(x5951,x5952))
% 4.67/4.87 [598]~P19(x5981)+P25(f139(x5981,x5982),f136(x5981))
% 4.67/4.87 [599]~P19(x5991)+P25(f142(x5991,x5992),f5(x5991))
% 4.67/4.87 [601]P13(x6011,x6012)+P7(f150(x6011,x6011),x6012)
% 4.67/4.87 [602]P25(x6021,x6022)+P13(f72(x6021,x6022),x6021)
% 4.67/4.87 [603]P7(x6031,x6032)+P13(f20(x6031,x6032),x6032)
% 4.67/4.87 [604]P7(x6041,x6042)+P13(f20(x6041,x6042),x6041)
% 4.67/4.87 [608]P13(f133(x6081),f11(x6082))+~P13(x6081,f11(x6082))
% 4.67/4.87 [616]~P2(x6162,f133(x6161))+E(f148(x6161,x6162),f144(x6161,x6162))
% 4.67/4.87 [618]P13(f117(x6181,x6182),x6181)+P2(x6181,f133(x6182))
% 4.67/4.87 [636]~P13(x6361,x6362)+P13(f24(x6361,x6362),x6362)
% 4.67/4.87 [638]~P13(x6381,x6382)+P25(f150(x6381,x6381),x6382)
% 4.67/4.87 [677]P25(x6771,x6772)+~P13(f72(x6771,x6772),x6772)
% 4.67/4.87 [678]~P13(x6782,f18(x6781))+P13(f40(x6781,x6782),f18(x6781))
% 4.67/4.87 [679]~P2(x6792,f133(x6791))+P2(f148(x6791,x6792),f133(x6791))
% 4.67/4.87 [688]~P13(f117(x6881,x6882),x6882)+P2(x6881,f133(x6882))
% 4.67/4.87 [698]~P13(x6981,x6982)+~P7(f150(x6981,x6981),x6982)
% 4.67/4.87 [732]E(x7321,x7322)+~P25(f150(x7321,x7321),f150(x7322,x7322))
% 4.67/4.87 [526]~P19(x5262)+E(f135(f129(x5261),x5262),f141(x5262,x5261))
% 4.67/4.87 [539]~P13(x5392,x5391)+E(f2(f129(x5391),x5392),x5392)
% 4.67/4.87 [605]P13(x6052,x6051)+E(f144(x6051,f150(x6052,x6052)),x6051)
% 4.67/4.87 [622]~P19(x6222)+E(f145(x6221,f141(x6222,x6221)),f137(x6222,x6221))
% 4.67/4.87 [623]~P19(x6232)+E(f141(f145(x6231,x6232),x6231),f137(x6232,x6231))
% 4.67/4.87 [635]~P7(x6351,x6352)+E(f144(x6351,f144(x6351,x6352)),a1)
% 4.67/4.87 [642]~P25(x6421,x6422)+E(f146(x6421,f144(x6422,x6421)),x6422)
% 4.67/4.87 [643]~P25(x6431,x6432)+E(f144(x6431,f144(x6431,x6432)),x6431)
% 4.67/4.87 [645]~P13(x6451,x6452)+E(f146(f150(x6451,x6451),x6452),x6452)
% 4.67/4.87 [658]E(f151(x6581,x6582),f143(x6582))+~P2(x6582,f133(f133(x6581)))
% 4.67/4.87 [659]E(f134(x6591,x6592),f147(x6592))+~P2(x6592,f133(f133(x6591)))
% 4.67/4.87 [664]~P2(x6642,f133(x6641))+E(f148(x6641,f148(x6641,x6642)),x6642)
% 4.67/4.87 [672]P7(x6721,x6722)+~E(f144(x6721,f144(x6721,x6722)),a1)
% 4.67/4.87 [680]~P19(x6801)+P25(f140(f137(x6801,x6802)),x6802)
% 4.67/4.87 [681]~P19(x6812)+P25(f136(f145(x6811,x6812)),x6811)
% 4.67/4.87 [690]~P19(x6902)+P25(f5(f145(x6901,x6902)),f5(x6902))
% 4.67/4.87 [691]~P19(x6911)+P25(f140(f137(x6911,x6912)),f140(x6911))
% 4.67/4.87 [692]~P19(x6921)+P25(f136(f141(x6921,x6922)),f136(x6921))
% 4.67/4.87 [693]~P19(x6932)+P25(f136(f145(x6931,x6932)),f136(x6932))
% 4.67/4.87 [701]~P13(x7012,x7011)+~E(f144(x7011,f150(x7012,x7012)),x7011)
% 4.67/4.87 [713]~P2(x7132,f133(f133(x7131)))+E(f4(x7131,f4(x7131,x7132)),x7132)
% 4.67/4.87 [722]P2(f151(x7221,x7222),f133(x7221))+~P2(x7222,f133(f133(x7221)))
% 4.67/4.87 [723]P2(f134(x7231,x7232),f133(x7231))+~P2(x7232,f133(f133(x7231)))
% 4.67/4.87 [738]~P2(x7382,f133(f133(x7381)))+P2(f4(x7381,x7382),f133(f133(x7381)))
% 4.67/4.87 [767]P7(x7671,x7672)+P13(f25(x7671,x7672),f144(x7671,f144(x7671,x7672)))
% 4.67/4.87 [718]~P19(x7181)+E(f144(f5(x7181),f144(f5(x7181),x7182)),f5(f141(x7181,x7182)))
% 4.67/4.87 [719]~P19(x7191)+E(f144(f136(x7191),f144(f136(x7191),x7192)),f136(f145(x7192,x7191)))
% 4.67/4.87 [745]~P19(x7451)+E(f144(x7451,f144(x7451,f3(x7452,x7452))),f137(x7451,x7452))
% 4.67/4.87 [792]~P19(x7921)+E(f139(x7921,f144(f5(x7921),f144(f5(x7921),x7922))),f139(x7921,x7922))
% 4.67/4.87 [581]E(x5811,x5812)+~E(f150(x5813,x5813),f150(x5811,x5812))
% 4.67/4.87 [582]E(x5821,x5822)+~E(f150(x5821,x5821),f150(x5822,x5823))
% 4.67/4.87 [673]P13(x6731,x6732)+~P25(f150(x6733,x6731),x6732)
% 4.67/4.87 [674]P13(x6741,x6742)+~P25(f150(x6741,x6743),x6742)
% 4.67/4.87 [704]~P25(x7041,x7043)+P25(f3(x7041,x7042),f3(x7043,x7042))
% 4.67/4.87 [705]~P25(x7052,x7053)+P25(f3(x7051,x7052),f3(x7051,x7053))
% 4.67/4.87 [706]~P25(x7061,x7063)+P25(f144(x7061,x7062),f144(x7063,x7062))
% 4.67/4.87 [700]~P19(x7002)+E(f145(x7001,f141(x7002,x7003)),f141(f145(x7001,x7002),x7003))
% 4.67/4.87 [749]P19(x7491)+~E(f39(x7491),f150(f150(x7492,x7493),f150(x7492,x7492)))
% 4.67/4.87 [759]~P19(x7591)+P25(f131(f137(x7591,x7592),x7593),f131(x7591,x7593))
% 4.67/4.87 [802]~P7(x8021,x8022)+~P13(x8023,f144(x8021,f144(x8021,x8022)))
% 4.67/4.87 [818]~P25(x8181,x8183)+P25(f144(x8181,f144(x8181,x8182)),f144(x8183,f144(x8183,x8182)))
% 4.67/4.87 [824]E(x8241,x8242)+~E(f150(f150(x8243,x8241),f150(x8243,x8243)),f150(f150(x8244,x8242),f150(x8244,x8244)))
% 4.67/4.87 [825]E(x8251,x8252)+~E(f150(f150(x8251,x8253),f150(x8251,x8251)),f150(f150(x8252,x8254),f150(x8252,x8252)))
% 4.67/4.87 [870]P13(x8701,x8702)+~P13(f150(f150(x8703,x8701),f150(x8703,x8703)),f3(x8704,x8702))
% 4.67/4.87 [872]P13(x8721,x8722)+~P13(f150(f150(x8721,x8723),f150(x8721,x8721)),f3(x8722,x8724))
% 4.67/4.87 [457]~P9(x4571)+~P10(x4571)+P11(x4571)
% 4.67/4.87 [458]~P19(x4581)+~P23(x4581)+P4(x4581)
% 4.67/4.87 [459]~P19(x4591)+~P23(x4591)+P6(x4591)
% 4.67/4.87 [460]~P19(x4601)+~P23(x4601)+P27(x4601)
% 4.67/4.87 [461]~P19(x4611)+~P23(x4611)+P26(x4611)
% 4.67/4.87 [462]~P19(x4621)+~P23(x4621)+P22(x4621)
% 4.67/4.87 [436]~P19(x4361)+E(x4361,a1)+~E(f5(x4361),a1)
% 4.67/4.87 [437]~P19(x4371)+E(x4371,a1)+~E(f136(x4371),a1)
% 4.67/4.87 [453]~P19(x4531)+~E(f136(x4531),a1)+E(f5(x4531),a1)
% 4.67/4.87 [454]~P19(x4541)+~E(f5(x4541),a1)+E(f136(x4541),a1)
% 4.67/4.87 [455]~P19(x4551)+P26(x4551)+~E(f37(x4551),a1)
% 4.67/4.87 [468]~P11(x4681)+P3(x4681)+P11(f19(x4681))
% 4.67/4.87 [469]~P11(x4691)+P3(x4691)+P11(f23(x4691))
% 4.67/4.87 [470]~P19(x4701)+P4(x4701)+~E(f108(x4701),f109(x4701))
% 4.67/4.87 [471]~P19(x4711)+P6(x4711)+~E(f115(x4711),f116(x4711))
% 4.67/4.87 [472]~P8(x4721)+~P19(x4721)+P8(f130(x4721))
% 4.67/4.87 [473]~P8(x4731)+~P19(x4731)+P19(f130(x4731))
% 4.67/4.87 [483]~P19(x4831)+P1(x4831)+~P1(f5(x4831))
% 4.67/4.87 [484]~P19(x4841)+P1(x4841)+~P1(f136(x4841))
% 4.67/4.87 [495]~P11(x4951)+P3(x4951)+P13(f19(x4951),x4951)
% 4.67/4.87 [498]~P19(x4981)+~P4(x4981)+P14(x4981,f140(x4981))
% 4.67/4.87 [499]~P19(x4991)+~P6(x4991)+P15(x4991,f140(x4991))
% 4.67/4.87 [500]~P19(x5001)+~P27(x5001)+P16(x5001,f140(x5001))
% 4.67/4.87 [501]~P19(x5011)+~P22(x5011)+P17(x5011,f140(x5011))
% 4.67/4.87 [502]~P19(x5021)+~P26(x5021)+P18(x5021,f140(x5021))
% 4.67/4.87 [503]~P19(x5031)+~P23(x5031)+P28(x5031,f140(x5031))
% 4.67/4.87 [521]~P19(x5211)+P6(x5211)+P13(f116(x5211),f140(x5211))
% 4.67/4.87 [522]~P19(x5221)+P6(x5221)+P13(f115(x5221),f140(x5221))
% 4.67/4.87 [523]~P19(x5231)+P26(x5231)+P25(f37(x5231),f140(x5231))
% 4.67/4.87 [524]~P19(x5241)+P22(x5241)+P13(f110(x5241),f140(x5241))
% 4.67/4.87 [540]~P19(x5401)+P4(x5401)+~P14(x5401,f140(x5401))
% 4.67/4.87 [541]~P19(x5411)+P6(x5411)+~P15(x5411,f140(x5411))
% 4.67/4.87 [542]~P19(x5421)+P27(x5421)+~P16(x5421,f140(x5421))
% 4.67/4.87 [543]~P19(x5431)+P26(x5431)+~P18(x5431,f140(x5431))
% 4.67/4.87 [544]~P19(x5441)+P23(x5441)+~P28(x5441,f140(x5441))
% 4.67/4.87 [545]~P19(x5451)+P22(x5451)+~P17(x5451,f140(x5451))
% 4.67/4.87 [600]P11(x6001)+~P25(f13(x6001),x6001)+~P11(f13(x6001))
% 4.67/4.87 [686]P3(x6861)+~P11(x6861)+E(f146(f23(x6861),f150(f23(x6861),f23(x6861))),x6861)
% 4.67/4.87 [838]~P19(x8381)+E(x8381,a1)+P13(f150(f150(f30(x8381),f31(x8381)),f150(f30(x8381),f30(x8381))),x8381)
% 4.67/4.87 [839]~P11(x8391)+P3(x8391)+~P13(f146(f19(x8391),f150(f19(x8391),f19(x8391))),x8391)
% 4.67/4.87 [840]~P19(x8401)+P4(x8401)+P13(f150(f150(f109(x8401),f108(x8401)),f150(f109(x8401),f109(x8401))),x8401)
% 4.67/4.87 [841]~P19(x8411)+P4(x8411)+P13(f150(f150(f108(x8411),f109(x8411)),f150(f108(x8411),f108(x8411))),x8411)
% 4.67/4.87 [842]~P19(x8421)+P27(x8421)+P13(f150(f150(f111(x8421),f113(x8421)),f150(f111(x8421),f111(x8421))),x8421)
% 4.67/4.87 [843]~P19(x8431)+P27(x8431)+P13(f150(f150(f113(x8431),f114(x8431)),f150(f113(x8431),f113(x8431))),x8431)
% 4.67/4.87 [892]~P19(x8921)+P6(x8921)+~P13(f150(f150(f116(x8921),f115(x8921)),f150(f116(x8921),f116(x8921))),x8921)
% 4.67/4.87 [893]~P19(x8931)+P6(x8931)+~P13(f150(f150(f115(x8931),f116(x8931)),f150(f115(x8931),f115(x8931))),x8931)
% 4.67/4.87 [894]~P19(x8941)+P27(x8941)+~P13(f150(f150(f111(x8941),f114(x8941)),f150(f111(x8941),f111(x8941))),x8941)
% 4.67/4.87 [895]~P19(x8951)+P22(x8951)+~P13(f150(f150(f110(x8951),f110(x8951)),f150(f110(x8951),f110(x8951))),x8951)
% 4.67/4.87 [438]~P1(x4382)+~P1(x4381)+E(x4381,x4382)
% 4.67/4.87 [485]~P11(x4851)+P21(x4851,x4851)+~P11(x4852)
% 4.67/4.87 [486]~P1(x4862)+~P1(x4861)+P2(x4861,x4862)
% 4.67/4.87 [496]~P2(x4961,x4962)+P1(x4961)+~P1(x4962)
% 4.67/4.87 [497]~P13(x4971,x4972)+P11(x4971)+~P11(x4972)
% 4.67/4.87 [525]P20(x5251,x5252)+~P25(x5251,x5252)+E(x5251,x5252)
% 4.67/4.87 [528]~P2(x5282,x5281)+P1(x5281)+P13(x5282,x5281)
% 4.67/4.87 [547]~P9(x5472)+~P13(x5471,x5472)+P25(x5471,x5472)
% 4.67/4.87 [548]~P19(x5481)+~P28(x5481,x5482)+P14(x5481,x5482)
% 4.67/4.87 [549]~P19(x5491)+~P28(x5491,x5492)+P15(x5491,x5492)
% 4.67/4.87 [550]~P19(x5501)+~P28(x5501,x5502)+P16(x5501,x5502)
% 4.67/4.87 [551]~P19(x5511)+~P28(x5511,x5512)+P17(x5511,x5512)
% 4.67/4.87 [552]~P19(x5521)+~P28(x5521,x5522)+P18(x5521,x5522)
% 4.67/4.87 [587]~P25(x5872,x5871)+~P25(x5871,x5872)+E(x5871,x5872)
% 4.67/4.87 [423]~E(x4232,a1)+~E(x4231,a1)+E(x4231,f147(x4232))
% 4.67/4.87 [433]~E(x4331,f147(x4332))+E(x4331,a1)+~E(x4332,a1)
% 4.67/4.87 [546]~P19(x5461)+P18(x5461,x5462)+~E(f71(x5461,x5462),a1)
% 4.67/4.87 [553]~P1(x5532)+~P19(x5531)+P1(f135(x5531,x5532))
% 4.67/4.87 [554]~P1(x5541)+~P19(x5542)+P1(f135(x5541,x5542))
% 4.67/4.87 [555]~P8(x5551)+~P19(x5551)+P8(f141(x5551,x5552))
% 4.67/4.87 [556]~P8(x5562)+~P19(x5562)+P8(f145(x5561,x5562))
% 4.67/4.87 [557]~P19(x5572)+~P19(x5571)+P19(f146(x5571,x5572))
% 4.67/4.87 [561]~P19(x5612)+~P19(x5611)+P19(f144(x5611,x5612))
% 4.67/4.87 [562]~P1(x5622)+~P19(x5621)+P19(f135(x5621,x5622))
% 4.67/4.87 [563]~P1(x5631)+~P19(x5632)+P19(f135(x5631,x5632))
% 4.67/4.87 [564]~P19(x5642)+~P19(x5641)+P19(f135(x5641,x5642))
% 4.67/4.87 [565]~P19(x5651)+~P4(x5651)+P4(f137(x5651,x5652))
% 4.67/4.87 [566]~P19(x5661)+~P6(x5661)+P6(f137(x5661,x5662))
% 4.67/4.87 [567]~P19(x5671)+~P27(x5671)+P27(f137(x5671,x5672))
% 4.67/4.87 [568]~P19(x5681)+~P26(x5681)+P26(f137(x5681,x5682))
% 4.67/4.87 [569]~P19(x5691)+~P22(x5691)+P22(f137(x5691,x5692))
% 4.67/4.87 [570]~P19(x5701)+~P24(x5701)+P24(f141(x5701,x5702))
% 4.67/4.87 [606]P1(x6061)+P1(x6062)+~P1(f3(x6062,x6061))
% 4.67/4.87 [625]~P19(x6251)+P14(x6251,x6252)+P13(f76(x6251,x6252),x6252)
% 4.67/4.87 [626]~P19(x6261)+P14(x6261,x6262)+P13(f82(x6261,x6262),x6262)
% 4.67/4.87 [627]~P19(x6271)+P15(x6271,x6272)+P13(f83(x6271,x6272),x6272)
% 4.67/4.87 [628]~P19(x6281)+P15(x6281,x6282)+P13(f95(x6281,x6282),x6282)
% 4.67/4.87 [629]~P19(x6291)+P16(x6291,x6292)+P13(f99(x6291,x6292),x6292)
% 4.67/4.87 [630]~P19(x6301)+P16(x6301,x6302)+P13(f105(x6301,x6302),x6302)
% 4.67/4.87 [631]~P19(x6311)+P16(x6311,x6312)+P13(f106(x6311,x6312),x6312)
% 4.67/4.87 [632]~P19(x6321)+P17(x6321,x6322)+P13(f50(x6321,x6322),x6322)
% 4.67/4.87 [633]~P19(x6331)+P18(x6331,x6332)+P25(f71(x6331,x6332),x6332)
% 4.67/4.87 [649]~P19(x6491)+P14(x6491,x6492)+~E(f82(x6491,x6492),f76(x6491,x6492))
% 4.67/4.87 [650]~P19(x6501)+P15(x6501,x6502)+~E(f95(x6501,x6502),f83(x6501,x6502))
% 4.67/4.87 [661]E(f51(x6612,x6611),x6612)+P13(f51(x6612,x6611),x6611)+E(x6611,f150(x6612,x6612))
% 4.67/4.87 [665]P13(x6651,f11(x6652))+P5(x6651,f11(x6652))+~P25(x6651,f11(x6652))
% 4.67/4.87 [666]P13(x6661,f18(x6662))+P5(x6661,f18(x6662))+~P25(x6661,f18(x6662))
% 4.67/4.87 [683]E(x6831,f150(x6832,x6832))+~P25(x6831,f150(x6832,x6832))+E(x6831,a1)
% 4.67/4.87 [685]E(x6851,x6852)+P13(f14(x6851,x6852),x6852)+P13(f14(x6851,x6852),x6851)
% 4.67/4.87 [696]P13(f57(x6962,x6961),x6961)+P25(f57(x6962,x6961),x6962)+E(x6961,f133(x6962))
% 4.67/4.87 [697]P13(f84(x6972,x6971),x6971)+P13(f86(x6972,x6971),x6972)+E(x6971,f143(x6972))
% 4.67/4.87 [728]~E(f51(x7282,x7281),x7282)+~P13(f51(x7282,x7281),x7281)+E(x7281,f150(x7282,x7282))
% 4.67/4.87 [744]P13(f84(x7442,x7441),x7441)+P13(f84(x7442,x7441),f86(x7442,x7441))+E(x7441,f143(x7442))
% 4.67/4.87 [761]E(x7611,x7612)+~P13(f14(x7611,x7612),x7612)+~P13(f14(x7611,x7612),x7611)
% 4.67/4.87 [766]~P13(f57(x7662,x7661),x7661)+~P25(f57(x7662,x7661),x7662)+E(x7661,f133(x7662))
% 4.67/4.87 [648]~P19(x6482)+~P19(x6481)+E(f136(f135(x6481,x6482)),f139(x6482,f136(x6481)))
% 4.67/4.87 [671]E(x6711,a1)+~P2(x6711,f133(f133(x6712)))+~E(f4(x6712,x6711),a1)
% 4.67/4.87 [714]~P19(x7142)+~P19(x7141)+P25(f5(f135(x7141,x7142)),f5(x7141))
% 4.67/4.87 [715]~P19(x7152)+~P19(x7151)+P25(f136(f135(x7151,x7152)),f136(x7152))
% 4.67/4.87 [721]~P19(x7212)+~P19(x7211)+P19(f144(x7211,f144(x7211,x7212)))
% 4.67/4.87 [733]~P8(x7331)+~P19(x7331)+P25(f139(x7331,f142(x7331,x7332)),x7332)
% 4.67/4.87 [764]~P19(x7642)+~P25(x7641,f5(x7642))+P25(x7641,f142(x7642,f139(x7642,x7641)))
% 4.67/4.87 [804]E(x8041,a1)+~P2(x8041,f133(f133(x8042)))+E(f149(x8042,x8042,f134(x8042,x8041)),f151(x8042,f4(x8042,x8041)))
% 4.67/4.87 [805]E(x8051,a1)+~P2(x8051,f133(f133(x8052)))+E(f149(x8052,x8052,f151(x8052,x8051)),f134(x8052,f4(x8052,x8051)))
% 4.67/4.87 [880]~P19(x8801)+~P13(x8802,x8801)+E(f150(f150(f46(x8801,x8802),f48(x8801,x8802)),f150(f46(x8801,x8802),f46(x8801,x8802))),x8802)
% 4.67/4.87 [922]~P19(x9221)+P14(x9221,x9222)+P13(f150(f150(f76(x9221,x9222),f82(x9221,x9222)),f150(f76(x9221,x9222),f76(x9221,x9222))),x9221)
% 4.67/4.87 [923]~P19(x9231)+P14(x9231,x9232)+P13(f150(f150(f82(x9231,x9232),f76(x9231,x9232)),f150(f82(x9231,x9232),f82(x9231,x9232))),x9231)
% 4.67/4.87 [924]~P19(x9241)+P16(x9241,x9242)+P13(f150(f150(f99(x9241,x9242),f105(x9241,x9242)),f150(f99(x9241,x9242),f99(x9241,x9242))),x9241)
% 4.67/4.87 [925]~P19(x9251)+P16(x9251,x9252)+P13(f150(f150(f105(x9251,x9252),f106(x9251,x9252)),f150(f105(x9251,x9252),f105(x9251,x9252))),x9251)
% 4.67/4.87 [940]~P19(x9401)+P15(x9401,x9402)+~P13(f150(f150(f83(x9401,x9402),f95(x9401,x9402)),f150(f83(x9401,x9402),f83(x9401,x9402))),x9401)
% 4.67/4.87 [941]~P19(x9411)+P15(x9411,x9412)+~P13(f150(f150(f95(x9411,x9412),f83(x9411,x9412)),f150(f95(x9411,x9412),f95(x9411,x9412))),x9411)
% 4.67/4.87 [942]~P19(x9421)+P16(x9421,x9422)+~P13(f150(f150(f99(x9421,x9422),f106(x9421,x9422)),f150(f99(x9421,x9422),f99(x9421,x9422))),x9421)
% 4.67/4.87 [943]~P19(x9431)+P17(x9431,x9432)+~P13(f150(f150(f50(x9431,x9432),f50(x9431,x9432)),f150(f50(x9431,x9432),f50(x9431,x9432))),x9431)
% 4.67/4.87 [612]~P25(x6123,x6122)+P13(x6121,x6122)+~P13(x6121,x6123)
% 4.67/4.87 [613]~P25(x6131,x6133)+P25(x6131,x6132)+~P25(x6133,x6132)
% 4.67/4.87 [614]~P7(x6143,x6142)+P7(x6141,x6142)+~P25(x6141,x6143)
% 4.67/4.87 [651]~P13(x6512,x6513)+~P13(x6511,x6512)+~P13(x6513,x6511)
% 4.67/4.87 [652]~P7(x6523,x6522)+~P13(x6521,x6522)+~P13(x6521,x6523)
% 4.67/4.87 [574]~P25(x5741,x5743)+P13(x5741,x5742)+~E(x5742,f133(x5743))
% 4.67/4.87 [575]~P13(x5751,x5753)+P25(x5751,x5752)+~E(x5753,f133(x5752))
% 4.67/4.87 [589]~P13(x5891,x5893)+E(x5891,x5892)+~E(x5893,f150(x5892,x5892))
% 4.67/4.87 [634]~P1(x6341)+~P13(x6342,x6343)+~P2(x6343,f133(x6341))
% 4.67/4.87 [656]P13(x6561,x6562)+~P13(x6561,x6563)+~P2(x6563,f133(x6562))
% 4.67/4.87 [657]P2(x6571,x6572)+~P13(x6571,x6573)+~P2(x6573,f133(x6572))
% 4.67/4.87 [667]~P25(x6671,x6673)+P13(x6671,f11(x6672))+~P13(x6673,f11(x6672))
% 4.67/4.87 [668]~P25(x6681,x6683)+P13(x6681,f18(x6682))+~P13(x6683,f18(x6682))
% 4.67/4.87 [689]~P19(x6892)+P13(x6891,x6892)+~P13(x6891,f137(x6892,x6893))
% 4.67/4.87 [694]~P13(x6942,x6943)+~P13(x6941,x6943)+P25(f150(x6941,x6942),x6943)
% 4.67/4.87 [695]~P25(x6952,x6953)+~P25(x6951,x6953)+P25(f146(x6951,x6952),x6953)
% 4.67/4.87 [717]~P25(x7171,x7173)+~P13(x7173,f18(x7172))+P13(x7171,f40(x7172,x7173))
% 4.67/4.87 [720]~P19(x7201)+~P25(x7202,x7203)+P25(f142(x7201,x7202),f142(x7201,x7203))
% 4.67/4.87 [737]~P13(x7371,x7372)+~P13(x7373,x7372)+~P13(x7373,f24(x7371,x7372))
% 4.67/4.87 [741]~P19(x7413)+~P13(x7411,f137(x7413,x7412))+P13(x7411,f3(x7412,x7412))
% 4.67/4.87 [755]~P13(x7551,x7552)+~P13(x7551,f148(x7553,x7552))+~P2(x7552,f133(x7553))
% 4.67/4.87 [769]~P2(x7693,f133(x7691))+~P2(x7692,f133(x7691))+E(f149(x7691,x7692,x7693),f144(x7692,x7693))
% 4.67/4.87 [793]~P13(x7931,x7933)+~E(x7933,f143(x7932))+P13(x7931,f85(x7932,x7933,x7931))
% 4.67/4.87 [794]~P13(x7943,x7942)+~E(x7942,f143(x7941))+P13(f85(x7941,x7942,x7943),x7941)
% 4.67/4.87 [815]~P19(x8153)+~P13(x8151,f139(x8153,x8152))+P13(f15(x8151,x8152,x8153),x8152)
% 4.67/4.87 [816]~P19(x8163)+~P13(x8161,f142(x8163,x8162))+P13(f16(x8161,x8162,x8163),x8162)
% 4.67/4.87 [817]~P2(x8173,f133(x8171))+~P2(x8172,f133(x8171))+P2(f149(x8171,x8172,x8173),f133(x8171))
% 4.67/4.87 [820]~P19(x8203)+~P13(x8201,f139(x8203,x8202))+P13(f15(x8201,x8202,x8203),f5(x8203))
% 4.67/4.87 [821]~P19(x8213)+~P13(x8211,f142(x8213,x8212))+P13(f16(x8211,x8212,x8213),f136(x8213))
% 4.67/4.87 [852]P13(f63(x8522,x8523,x8521),x8521)+P13(f67(x8522,x8523,x8521),x8522)+E(x8521,f3(x8522,x8523))
% 4.67/4.87 [853]P13(f63(x8532,x8533,x8531),x8531)+P13(f68(x8532,x8533,x8531),x8533)+E(x8531,f3(x8532,x8533))
% 4.67/4.87 [854]P13(f89(x8542,x8543,x8541),x8541)+P13(f89(x8542,x8543,x8541),x8542)+E(x8541,f144(x8542,x8543))
% 4.67/4.87 [876]~E(f59(x8762,x8763,x8761),x8763)+~P13(f59(x8762,x8763,x8761),x8761)+E(x8761,f150(x8762,x8763))
% 4.67/4.87 [877]~E(f59(x8772,x8773,x8771),x8772)+~P13(f59(x8772,x8773,x8771),x8771)+E(x8771,f150(x8772,x8773))
% 4.67/4.87 [884]P13(f89(x8842,x8843,x8841),x8841)+~P13(f89(x8842,x8843,x8841),x8843)+E(x8841,f144(x8842,x8843))
% 4.67/4.87 [898]~P13(f64(x8982,x8983,x8981),x8981)+~P13(f64(x8982,x8983,x8981),x8983)+E(x8981,f146(x8982,x8983))
% 4.67/4.87 [899]~P13(f64(x8992,x8993,x8991),x8991)+~P13(f64(x8992,x8993,x8991),x8992)+E(x8991,f146(x8992,x8993))
% 4.67/4.87 [763]~P25(x7632,x7633)+P13(x7631,x7632)+P25(x7632,f144(x7633,f150(x7631,x7631)))
% 4.67/4.87 [773]P13(x7731,x7732)+~P19(x7733)+~P13(x7731,f5(f141(x7733,x7732)))
% 4.67/4.87 [774]P13(x7741,x7742)+~P19(x7743)+~P13(x7741,f140(f137(x7743,x7742)))
% 4.67/4.87 [775]P13(x7751,x7752)+~P19(x7753)+~P13(x7751,f136(f145(x7752,x7753)))
% 4.67/4.87 [779]~P25(x7791,x7793)+~P25(x7791,x7792)+P25(x7791,f144(x7792,f144(x7792,x7793)))
% 4.67/4.87 [782]~P19(x7822)+P13(x7821,f5(x7822))+~P13(x7821,f5(f141(x7822,x7823)))
% 4.67/4.87 [783]~P19(x7832)+P13(x7831,f140(x7832))+~P13(x7831,f140(f137(x7832,x7833)))
% 4.67/4.87 [784]~P19(x7842)+P13(x7841,f136(x7842))+~P13(x7841,f136(f145(x7843,x7842)))
% 4.67/4.87 [844]~P19(x8442)+P13(x8441,f5(x8442))+~P13(f150(f150(x8441,x8443),f150(x8441,x8441)),x8442)
% 4.67/4.87 [845]~P19(x8452)+P13(x8451,f140(x8452))+~P13(f150(f150(x8453,x8451),f150(x8453,x8453)),x8452)
% 4.67/4.87 [846]~P19(x8462)+P13(x8461,f140(x8462))+~P13(f150(f150(x8461,x8463),f150(x8461,x8461)),x8462)
% 4.67/4.87 [847]~P19(x8472)+P13(x8471,f136(x8472))+~P13(f150(f150(x8473,x8471),f150(x8473,x8473)),x8472)
% 4.67/4.87 [873]P13(f77(x8732,x8733,x8731),x8731)+P13(f77(x8732,x8733,x8731),x8733)+E(x8731,f144(x8732,f144(x8732,x8733)))
% 4.67/4.87 [874]P13(f77(x8742,x8743,x8741),x8741)+P13(f77(x8742,x8743,x8741),x8742)+E(x8741,f144(x8742,f144(x8742,x8743)))
% 4.67/4.87 [934]~P19(x9343)+~P13(x9341,f142(x9343,x9342))+P13(f150(f150(x9341,f16(x9341,x9342,x9343)),f150(x9341,x9341)),x9343)
% 4.67/4.87 [946]P13(f63(x9462,x9463,x9461),x9461)+E(x9461,f3(x9462,x9463))+E(f150(f150(f67(x9462,x9463,x9461),f68(x9462,x9463,x9461)),f150(f67(x9462,x9463,x9461),f67(x9462,x9463,x9461))),f63(x9462,x9463,x9461))
% 4.67/4.87 [955]~P19(x9553)+~P13(x9551,f139(x9553,x9552))+P13(f150(f150(f15(x9551,x9552,x9553),x9551),f150(f15(x9551,x9552,x9553),f15(x9551,x9552,x9553))),x9553)
% 4.67/4.87 [530]P13(x5301,x5302)+~E(x5301,x5303)+~E(x5302,f150(x5304,x5303))
% 4.67/4.87 [531]P13(x5311,x5312)+~E(x5311,x5313)+~E(x5312,f150(x5313,x5314))
% 4.67/4.87 [588]E(x5881,x5882)+E(x5881,x5883)+~E(f150(x5881,x5884),f150(x5883,x5882))
% 4.67/4.87 [619]~P13(x6191,x6194)+P13(x6191,x6192)+~E(x6192,f146(x6193,x6194))
% 4.67/4.87 [620]~P13(x6201,x6203)+P13(x6201,x6202)+~E(x6202,f146(x6203,x6204))
% 4.67/4.87 [621]~P13(x6211,x6213)+P13(x6211,x6212)+~E(x6213,f144(x6212,x6214))
% 4.67/4.87 [655]~P13(x6554,x6553)+~P13(x6554,x6551)+~E(x6551,f144(x6552,x6553))
% 4.67/4.87 [743]~P25(x7432,x7434)+~P25(x7431,x7433)+P25(f3(x7431,x7432),f3(x7433,x7434))
% 4.67/4.87 [915]~P13(x9154,x9153)+~E(x9153,f3(x9151,x9152))+P13(f65(x9151,x9152,x9153,x9154),x9151)
% 4.67/4.87 [916]~P13(x9164,x9163)+~E(x9163,f3(x9161,x9162))+P13(f66(x9161,x9162,x9163,x9164),x9162)
% 4.67/4.87 [950]~E(f47(x9502,x9503,x9504,x9501),x9504)+~P13(f47(x9502,x9503,x9504,x9501),x9501)+E(x9501,f152(x9502,x9503,x9504))
% 4.67/4.87 [951]~E(f47(x9512,x9513,x9514,x9511),x9513)+~P13(f47(x9512,x9513,x9514,x9511),x9511)+E(x9511,f152(x9512,x9513,x9514))
% 4.67/4.87 [952]~E(f47(x9522,x9523,x9524,x9521),x9522)+~P13(f47(x9522,x9523,x9524,x9521),x9521)+E(x9521,f152(x9522,x9523,x9524))
% 4.67/4.87 [726]~P13(x7261,x7263)+P13(x7261,x7262)+~E(x7263,f144(x7264,f144(x7264,x7262)))
% 4.67/4.87 [830]~P13(x8302,x8304)+~P13(x8301,x8303)+P13(f150(f150(x8301,x8302),f150(x8301,x8301)),f3(x8303,x8304))
% 4.67/4.87 [881]P13(x8811,x8812)+~P19(x8813)+~P13(f150(f150(x8811,x8814),f150(x8811,x8811)),f135(f129(x8812),x8813))
% 4.67/4.87 [906]~P19(x9063)+P13(f150(f150(x9061,x9062),f150(x9061,x9061)),x9063)+~P13(f150(f150(x9061,x9062),f150(x9061,x9061)),f135(f129(x9064),x9063))
% 4.67/4.87 [970]~P13(x9704,x9703)+~E(x9703,f3(x9701,x9702))+E(f150(f150(f65(x9701,x9702,x9703,x9704),f66(x9701,x9702,x9703,x9704)),f150(f65(x9701,x9702,x9703,x9704),f65(x9701,x9702,x9703,x9704))),x9704)
% 4.67/4.87 [729]P13(x7291,x7292)+~E(x7291,x7293)+~E(x7292,f152(x7294,x7295,x7293))
% 4.67/4.87 [730]P13(x7301,x7302)+~E(x7301,x7303)+~E(x7302,f152(x7304,x7303,x7305))
% 4.67/4.87 [731]P13(x7311,x7312)+~E(x7311,x7313)+~E(x7312,f152(x7313,x7314,x7315))
% 4.67/4.87 [480]~P1(x4801)+~P8(x4801)+~P19(x4801)+P12(x4801)
% 4.67/4.87 [487]~P8(x4871)+~P19(x4871)+~P12(x4871)+E(f130(x4871),f138(x4871))
% 4.67/4.87 [491]~P8(x4911)+~P19(x4911)+P12(x4911)+~E(f70(x4911),f98(x4911))
% 4.67/4.87 [492]~P8(x4921)+~P19(x4921)+~P12(x4921)+P8(f138(x4921))
% 4.67/4.87 [494]~P8(x4941)+~P19(x4941)+~P12(x4941)+P12(f130(x4941))
% 4.67/4.87 [576]~P8(x5761)+~P19(x5761)+P12(x5761)+P13(f70(x5761),f5(x5761))
% 4.67/4.87 [577]~P8(x5771)+~P19(x5771)+P12(x5771)+P13(f98(x5771),f5(x5771))
% 4.67/4.87 [504]~P8(x5041)+~P19(x5041)+~P12(x5041)+E(f136(f130(x5041)),f5(x5041))
% 4.67/4.87 [505]~P8(x5051)+~P19(x5051)+~P12(x5051)+E(f5(f130(x5051)),f136(x5051))
% 4.67/4.87 [611]P12(x6111)+~P8(x6111)+~P19(x6111)+E(f2(x6111,f70(x6111)),f2(x6111,f98(x6111)))
% 4.67/4.87 [538]P21(x5382,x5381)+~P11(x5381)+~P11(x5382)+P21(x5381,x5382)
% 4.67/4.87 [591]~P11(x5912)+~P9(x5911)+~P20(x5911,x5912)+P13(x5911,x5912)
% 4.67/4.87 [592]~P11(x5922)+~P11(x5921)+~P25(x5921,x5922)+P21(x5921,x5922)
% 4.67/4.87 [593]~P11(x5932)+~P11(x5931)+~P21(x5931,x5932)+P25(x5931,x5932)
% 4.67/4.87 [482]~P8(x4821)+~P19(x4821)+~E(x4821,f129(x4822))+E(f5(x4821),x4822)
% 4.67/4.87 [624]~P11(x6242)+~P25(x6241,x6242)+E(x6241,a1)+P11(f17(x6241,x6242))
% 4.67/4.87 [639]~P19(x6392)+~P25(x6391,f136(x6392))+E(x6391,a1)+~E(f142(x6392,x6391),a1)
% 4.67/4.87 [640]~P19(x6402)+~P19(x6401)+~P25(x6401,x6402)+P25(f5(x6401),f5(x6402))
% 4.67/4.87 [641]~P19(x6412)+~P19(x6411)+~P25(x6411,x6412)+P25(f136(x6411),f136(x6412))
% 4.67/4.87 [662]~P11(x6622)+~P25(x6621,x6622)+P13(f17(x6621,x6622),x6621)+E(x6621,a1)
% 4.67/4.87 [740]P13(f54(x7401,x7402),x7401)+~P13(f52(x7401,x7402),x7402)+E(x7401,a1)+E(x7402,f147(x7401))
% 4.67/4.87 [754]~P19(x7541)+P26(x7541)+~P7(f131(x7541,x7542),f37(x7541))+~P13(x7542,f37(x7541))
% 4.67/4.87 [807]~P13(f52(x8071,x8072),x8072)+~P13(f52(x8071,x8072),f54(x8071,x8072))+E(x8071,a1)+E(x8072,f147(x8071))
% 4.67/4.87 [699]~P11(x6991)+~P11(x6992)+~P3(x6991)+~E(x6991,f146(x6992,f150(x6992,x6992)))
% 4.67/4.87 [702]~P8(x7021)+~P19(x7021)+~P25(x7022,f136(x7021))+E(f139(x7021,f142(x7021,x7022)),x7022)
% 4.67/4.87 [710]~P19(x7102)+~P19(x7101)+~P25(f136(x7101),f5(x7102))+E(f5(f135(x7101,x7102)),f5(x7101))
% 4.67/4.87 [711]~P19(x7111)+~P19(x7112)+~P25(f5(x7112),f136(x7111))+E(f136(f135(x7111,x7112)),f136(x7112))
% 4.67/4.87 [762]~P11(x7622)+~P11(x7621)+~P13(x7621,x7622)+P21(f146(x7621,f150(x7621,x7621)),x7622)
% 4.67/4.87 [806]~P11(x8062)+~P11(x8061)+P13(x8061,x8062)+~P21(f146(x8061,f150(x8061,x8061)),x8062)
% 4.67/4.87 [814]~P19(x8142)+~P22(x8142)+~P13(x8141,f140(x8142))+P13(f150(f150(x8141,x8141),f150(x8141,x8141)),x8142)
% 4.67/4.87 [926]~P19(x9262)+~P19(x9261)+P25(x9261,x9262)+P13(f150(f150(f73(x9261,x9262),f74(x9261,x9262)),f150(f73(x9261,x9262),f73(x9261,x9262))),x9261)
% 4.67/4.87 [927]~P19(x9271)+E(f49(x9272,x9271),f60(x9272,x9271))+E(x9271,f129(x9272))+P13(f150(f150(f49(x9272,x9271),f60(x9272,x9271)),f150(f49(x9272,x9271),f49(x9272,x9271))),x9271)
% 4.67/4.87 [930]~P19(x9301)+P13(f49(x9302,x9301),x9302)+E(x9301,f129(x9302))+P13(f150(f150(f49(x9302,x9301),f60(x9302,x9301)),f150(f49(x9302,x9301),f49(x9302,x9301))),x9301)
% 4.67/4.87 [931]~P19(x9312)+P13(f79(x9312,x9311),x9311)+E(x9311,f5(x9312))+P13(f150(f150(f79(x9312,x9311),f81(x9312,x9311)),f150(f79(x9312,x9311),f79(x9312,x9311))),x9312)
% 4.67/4.87 [932]~P19(x9322)+P13(f92(x9322,x9321),x9321)+E(x9321,f136(x9322))+P13(f150(f150(f94(x9322,x9321),f92(x9322,x9321)),f150(f94(x9322,x9321),f94(x9322,x9321))),x9322)
% 4.67/4.87 [944]~P19(x9442)+~P19(x9441)+P25(x9441,x9442)+~P13(f150(f150(f73(x9441,x9442),f74(x9441,x9442)),f150(f73(x9441,x9442),f73(x9441,x9442))),x9442)
% 4.67/4.87 [760]~P7(x7601,x7603)+~P2(x7603,f133(x7602))+~P2(x7601,f133(x7602))+P25(x7601,f148(x7602,x7603))
% 4.67/4.87 [770]~P19(x7702)+~P13(x7701,x7702)+~P13(x7701,f3(x7703,x7703))+P13(x7701,f137(x7702,x7703))
% 4.67/4.87 [787]P7(x7871,x7872)+~P25(x7871,f148(x7873,x7872))+~P2(x7872,f133(x7873))+~P2(x7871,f133(x7873))
% 4.67/4.87 [788]P13(x7882,x7883)+P13(f53(x7881,x7883,x7882),x7881)+~E(x7883,f147(x7881))+E(x7881,a1)
% 4.67/4.87 [795]~P13(x7953,x7952)+~P13(f84(x7952,x7951),x7953)+~P13(f84(x7952,x7951),x7951)+E(x7951,f143(x7952))
% 4.67/4.87 [812]~P19(x8121)+P18(x8121,x8122)+~P7(f131(x8121,x8123),f71(x8121,x8122))+~P13(x8123,f71(x8121,x8122))
% 4.67/4.87 [828]P13(x8282,x8283)+~E(x8283,f147(x8281))+~P13(x8282,f53(x8281,x8283,x8282))+E(x8281,a1)
% 4.67/4.87 [833]~P19(x8332)+P13(f55(x8332,x8333,x8331),x8331)+~E(f55(x8332,x8333,x8331),x8333)+E(x8331,f131(x8332,x8333))
% 4.67/4.87 [837]E(f59(x8372,x8373,x8371),x8373)+E(f59(x8372,x8373,x8371),x8372)+P13(f59(x8372,x8373,x8371),x8371)+E(x8371,f150(x8372,x8373))
% 4.67/4.87 [858]~P19(x8582)+P13(f41(x8582,x8583,x8581),x8581)+P13(f42(x8582,x8583,x8581),x8583)+E(x8581,f139(x8582,x8583))
% 4.67/4.87 [859]~P19(x8592)+P13(f43(x8592,x8593,x8591),x8591)+P13(f45(x8592,x8593,x8591),x8593)+E(x8591,f142(x8592,x8593))
% 4.67/4.87 [890]P13(f64(x8902,x8903,x8901),x8901)+P13(f64(x8902,x8903,x8901),x8903)+P13(f64(x8902,x8903,x8901),x8902)+E(x8901,f146(x8902,x8903))
% 4.67/4.87 [912]P13(f89(x9122,x9123,x9121),x9123)+~P13(f89(x9122,x9123,x9121),x9121)+~P13(f89(x9122,x9123,x9121),x9122)+E(x9121,f144(x9122,x9123))
% 4.67/4.87 [712]~P8(x7121)+~P19(x7121)+~P13(x7123,x7122)+E(f2(f141(x7121,x7122),x7123),f2(x7121,x7123))
% 4.67/4.87 [771]~P19(x7712)+~P13(x7711,x7713)+~P13(x7711,f5(x7712))+P13(x7711,f5(f141(x7712,x7713)))
% 4.67/4.87 [772]~P19(x7723)+~P13(x7721,x7722)+~P13(x7721,f136(x7723))+P13(x7721,f136(f145(x7722,x7723)))
% 4.67/4.87 [809]~P8(x8091)+~P19(x8091)+E(f2(f141(x8091,x8092),x8093),f2(x8091,x8093))+~P13(x8093,f5(f141(x8091,x8092)))
% 4.67/4.87 [819]~P19(x8192)+~P17(x8192,x8193)+~P13(x8191,x8193)+P13(f150(f150(x8191,x8191),f150(x8191,x8191)),x8192)
% 4.67/4.87 [836]P2(f107(x8362,x8363,x8361),f133(x8362))+E(x8361,f4(x8362,x8363))+~P2(x8361,f133(f133(x8362)))+~P2(x8363,f133(f133(x8362)))
% 4.67/4.87 [848]~P8(x8482)+~P19(x8482)+E(x8481,f2(x8482,x8483))+~P13(f150(f150(x8483,x8481),f150(x8483,x8483)),x8482)
% 4.67/4.87 [909]~P19(x9092)+~P13(f92(x9092,x9091),x9091)+E(x9091,f136(x9092))+~P13(f150(f150(x9093,f92(x9092,x9091)),f150(x9093,x9093)),x9092)
% 4.67/4.87 [928]~P19(x9282)+~P13(x9281,x9283)+~E(x9283,f5(x9282))+P13(f150(f150(x9281,f78(x9282,x9283,x9281)),f150(x9281,x9281)),x9282)
% 4.67/4.87 [933]~P13(f77(x9332,x9333,x9331),x9331)+~P13(f77(x9332,x9333,x9331),x9333)+~P13(f77(x9332,x9333,x9331),x9332)+E(x9331,f144(x9332,f144(x9332,x9333)))
% 4.67/4.87 [938]~P19(x9382)+~P13(f79(x9382,x9381),x9381)+E(x9381,f5(x9382))+~P13(f150(f150(f79(x9382,x9381),x9383),f150(f79(x9382,x9381),f79(x9382,x9381))),x9382)
% 4.67/4.87 [954]~P19(x9541)+~P13(x9543,x9542)+~E(x9542,f136(x9541))+P13(f150(f150(f93(x9541,x9542,x9543),x9543),f150(f93(x9541,x9542,x9543),f93(x9541,x9542,x9543))),x9541)
% 4.67/4.87 [956]~P19(x9562)+P13(f55(x9562,x9563,x9561),x9561)+E(x9561,f131(x9562,x9563))+P13(f150(f150(f55(x9562,x9563,x9561),x9563),f150(f55(x9562,x9563,x9561),f55(x9562,x9563,x9561))),x9562)
% 4.67/4.87 [959]~P19(x9592)+P13(f41(x9592,x9593,x9591),x9591)+E(x9591,f139(x9592,x9593))+P13(f150(f150(f42(x9592,x9593,x9591),f41(x9592,x9593,x9591)),f150(f42(x9592,x9593,x9591),f42(x9592,x9593,x9591))),x9592)
% 4.67/4.87 [960]~P19(x9602)+P13(f43(x9602,x9603,x9601),x9601)+E(x9601,f142(x9602,x9603))+P13(f150(f150(f43(x9602,x9603,x9601),f45(x9602,x9603,x9601)),f150(f43(x9602,x9603,x9601),f43(x9602,x9603,x9601))),x9602)
% 4.67/4.87 [590]~P13(x5901,x5904)+E(x5901,x5902)+E(x5901,x5903)+~E(x5904,f150(x5903,x5902))
% 4.67/4.87 [607]~P19(x6074)+~P13(x6071,x6073)+~E(x6071,x6072)+~E(x6073,f131(x6074,x6072))
% 4.67/4.87 [653]~P13(x6531,x6534)+P13(x6531,x6532)+~P13(x6534,x6533)+~E(x6532,f143(x6533))
% 4.67/4.87 [669]~P13(x6691,x6694)+P13(x6691,x6692)+P13(x6691,x6693)+~E(x6692,f144(x6694,x6693))
% 4.67/4.87 [670]~P13(x6701,x6704)+P13(x6701,x6702)+P13(x6701,x6703)+~E(x6704,f146(x6703,x6702))
% 4.67/4.87 [917]~P19(x9171)+~P13(x9174,x9173)+~E(x9173,f139(x9171,x9172))+P13(f32(x9171,x9172,x9173,x9174),x9172)
% 4.67/4.87 [918]~P19(x9181)+~P13(x9184,x9183)+~E(x9183,f142(x9181,x9182))+P13(f44(x9181,x9182,x9183,x9184),x9182)
% 4.67/4.87 [758]~P13(x7581,x7584)+~P13(x7581,x7583)+P13(x7581,x7582)+~E(x7582,f144(x7583,f144(x7583,x7584)))
% 4.67/4.87 [822]~P19(x8223)+~P13(x8221,x8224)+~E(x8224,f131(x8223,x8222))+P13(f150(f150(x8221,x8222),f150(x8221,x8221)),x8223)
% 4.67/4.87 [835]~P19(x8353)+E(x8351,x8352)+~E(x8353,f129(x8354))+~P13(f150(f150(x8351,x8352),f150(x8351,x8351)),x8353)
% 4.67/4.87 [849]~P19(x8493)+P13(x8491,x8492)+~E(x8492,f136(x8493))+~P13(f150(f150(x8494,x8491),f150(x8494,x8494)),x8493)
% 4.67/4.87 [850]~P19(x8503)+P13(x8501,x8502)+~E(x8502,f5(x8503))+~P13(f150(f150(x8501,x8504),f150(x8501,x8501)),x8503)
% 4.67/4.87 [851]~P19(x8513)+P13(x8511,x8512)+~E(x8513,f129(x8512))+~P13(f150(f150(x8511,x8514),f150(x8511,x8511)),x8513)
% 4.67/4.87 [907]~P19(x9074)+~P13(x9071,x9073)+~P13(f150(f150(x9071,x9072),f150(x9071,x9071)),x9074)+P13(f150(f150(x9071,x9072),f150(x9071,x9071)),f135(f129(x9073),x9074))
% 4.67/4.87 [963]~P19(x9632)+~P13(x9631,x9634)+~E(x9634,f142(x9632,x9633))+P13(f150(f150(x9631,f44(x9632,x9633,x9634,x9631)),f150(x9631,x9631)),x9632)
% 4.67/4.87 [974]~P19(x9741)+~P13(x9744,x9743)+~E(x9743,f139(x9741,x9742))+P13(f150(f150(f32(x9741,x9742,x9743,x9744),x9744),f150(f32(x9741,x9742,x9743,x9744),f32(x9741,x9742,x9743,x9744))),x9741)
% 4.67/4.87 [578]P13(x5782,x5781)+P13(x5781,x5782)+~P11(x5782)+~P11(x5781)+E(x5781,x5782)
% 4.67/4.87 [609]~P8(x6092)+~P8(x6091)+~P19(x6092)+~P19(x6091)+P8(f135(x6091,x6092))
% 4.67/4.87 [654]~P8(x6541)+~P19(x6541)+P13(f21(x6542,x6541),x6542)+~E(f5(x6541),x6542)+E(x6541,f129(x6542))
% 4.67/4.87 [703]~P19(x7032)+~P26(x7032)+~P25(x7031,f140(x7032))+P13(f58(x7032,x7031),x7031)+E(x7031,a1)
% 4.67/4.87 [734]~P8(x7342)+~P19(x7342)+P13(f87(x7342,x7341),x7341)+P13(f90(x7342,x7341),f5(x7342))+E(x7341,f136(x7342))
% 4.67/4.87 [746]~P8(x7461)+~P19(x7461)+~E(f5(x7461),x7462)+E(x7461,f129(x7462))+~E(f2(x7461,f21(x7462,x7461)),f21(x7462,x7461))
% 4.67/4.87 [748]~P8(x7482)+~P19(x7482)+P13(f87(x7482,x7481),x7481)+E(x7481,f136(x7482))+E(f2(x7482,f90(x7482,x7481)),f87(x7482,x7481))
% 4.67/4.87 [777]~P11(x7771)+~P11(x7772)+~P3(x7772)+~P13(x7771,x7772)+P13(f146(x7771,f150(x7771,x7771)),x7772)
% 4.67/4.87 [780]~P19(x7802)+~P26(x7802)+~P25(x7801,f140(x7802))+E(x7801,a1)+P7(f131(x7802,f58(x7802,x7801)),x7801)
% 4.67/4.87 [735]~P8(x7351)+~P19(x7351)+~P12(x7351)+~P13(x7352,f136(x7351))+E(f2(x7351,f2(f130(x7351),x7352)),x7352)
% 4.67/4.87 [736]~P8(x7361)+~P19(x7361)+~P12(x7361)+~P13(x7362,f136(x7361))+E(f2(f135(f130(x7361),x7361),x7362),x7362)
% 4.67/4.87 [945]~P19(x9451)+~E(f49(x9452,x9451),f60(x9452,x9451))+~P13(f49(x9452,x9451),x9452)+E(x9451,f129(x9452))+~P13(f150(f150(f49(x9452,x9451),f60(x9452,x9451)),f150(f49(x9452,x9451),f49(x9452,x9451))),x9451)
% 4.67/4.87 [948]~P19(x9482)+~P19(x9481)+E(x9481,x9482)+P13(f150(f150(f61(x9481,x9482),f62(x9481,x9482)),f150(f61(x9481,x9482),f61(x9481,x9482))),x9482)+P13(f150(f150(f61(x9481,x9482),f62(x9481,x9482)),f150(f61(x9481,x9482),f61(x9481,x9482))),x9481)
% 4.67/4.87 [949]~P19(x9491)+~P19(x9492)+E(x9491,f138(x9492))+P13(f150(f150(f96(x9492,x9491),f97(x9492,x9491)),f150(f96(x9492,x9491),f96(x9492,x9491))),x9491)+P13(f150(f150(f97(x9492,x9491),f96(x9492,x9491)),f150(f97(x9492,x9491),f97(x9492,x9491))),x9492)
% 4.67/4.87 [957]~P19(x9572)+~P19(x9571)+E(x9571,x9572)+~P13(f150(f150(f61(x9571,x9572),f62(x9571,x9572)),f150(f61(x9571,x9572),f61(x9571,x9572))),x9572)+~P13(f150(f150(f61(x9571,x9572),f62(x9571,x9572)),f150(f61(x9571,x9572),f61(x9571,x9572))),x9571)
% 4.67/4.87 [958]~P19(x9581)+~P19(x9582)+E(x9581,f138(x9582))+~P13(f150(f150(f96(x9582,x9581),f97(x9582,x9581)),f150(f96(x9582,x9581),f96(x9582,x9581))),x9581)+~P13(f150(f150(f97(x9582,x9581),f96(x9582,x9581)),f150(f97(x9582,x9581),f97(x9582,x9581))),x9582)
% 4.67/4.87 [596]~P8(x5962)+~P19(x5962)+P13(x5963,f5(x5962))+~E(x5961,a1)+E(x5961,f2(x5962,x5963))
% 4.67/4.87 [615]~P8(x6153)+~P19(x6153)+~E(x6151,f2(x6153,x6152))+E(x6151,a1)+P13(x6152,f5(x6153))
% 4.67/4.87 [617]~P8(x6171)+~P19(x6171)+~P13(x6172,x6173)+E(f2(x6171,x6172),x6172)+~E(x6171,f129(x6173))
% 4.67/4.87 [739]~P13(x7393,x7391)+P13(f52(x7391,x7392),x7392)+E(x7391,a1)+E(x7392,f147(x7391))+P13(f52(x7391,x7392),x7393)
% 4.67/4.87 [742]~P2(x7422,x7421)+P13(x7422,x7423)+P13(x7422,f148(x7421,x7423))+~P2(x7423,f133(x7421))+E(x7421,a1)
% 4.67/4.87 [803]~P8(x8031)+~P19(x8031)+~P13(x8033,x8032)+~E(x8032,f136(x8031))+P13(f88(x8031,x8032,x8033),f5(x8031))
% 4.67/4.87 [808]~P19(x8082)+~P25(x8081,x8083)+~P18(x8082,x8083)+P13(f75(x8082,x8083,x8081),x8081)+E(x8081,a1)
% 4.67/4.87 [863]~P8(x8632)+~P19(x8632)+P13(f100(x8632,x8633,x8631),x8631)+P13(f112(x8632,x8633,x8631),x8633)+E(x8631,f139(x8632,x8633))
% 4.67/4.87 [865]~P8(x8652)+~P19(x8652)+P13(f100(x8652,x8653,x8651),x8651)+P13(f112(x8652,x8653,x8651),f5(x8652))+E(x8651,f139(x8652,x8653))
% 4.67/4.87 [866]~P8(x8662)+~P19(x8662)+P13(f22(x8662,x8663,x8661),x8661)+P13(f22(x8662,x8663,x8661),f5(x8662))+E(x8661,f142(x8662,x8663))
% 4.67/4.87 [801]~P8(x8011)+~P19(x8011)+~P13(x8013,x8012)+~E(x8012,f136(x8011))+E(f2(x8011,f88(x8011,x8012,x8013)),x8013)
% 4.67/4.87 [827]~P8(x8273)+~P19(x8273)+~E(x8272,f2(x8273,x8271))+~P13(x8271,f5(x8273))+P13(f150(f150(x8271,x8272),f150(x8271,x8271)),x8273)
% 4.67/4.87 [882]~P19(x8822)+~P25(x8821,x8823)+~P18(x8822,x8823)+E(x8821,a1)+P7(f131(x8822,f75(x8822,x8823,x8821)),x8821)
% 4.67/4.87 [883]~P8(x8832)+~P19(x8832)+P13(f100(x8832,x8833,x8831),x8831)+E(x8831,f139(x8832,x8833))+E(f2(x8832,f112(x8832,x8833,x8831)),f100(x8832,x8833,x8831))
% 4.67/4.87 [900]~P8(x9002)+~P19(x9002)+P13(f22(x9002,x9003,x9001),x9001)+E(x9001,f142(x9002,x9003))+P13(f2(x9002,f22(x9002,x9003,x9001)),x9003)
% 4.67/4.87 [910]~P4(x9103)+E(x9101,x9102)+~P19(x9103)+~P13(f150(f150(x9102,x9101),f150(x9102,x9102)),x9103)+~P13(f150(f150(x9101,x9102),f150(x9101,x9101)),x9103)
% 4.67/4.87 [911]P13(f107(x9112,x9113,x9111),x9111)+E(x9111,f4(x9112,x9113))+P13(f148(x9112,f107(x9112,x9113,x9111)),x9113)+~P2(x9111,f133(f133(x9112)))+~P2(x9113,f133(f133(x9112)))
% 4.67/4.87 [937]~P13(f107(x9372,x9373,x9371),x9371)+E(x9371,f4(x9372,x9373))+~P2(x9371,f133(f133(x9372)))+~P2(x9373,f133(f133(x9372)))+~P13(f148(x9372,f107(x9372,x9373,x9371)),x9373)
% 4.67/4.87 [961]~P19(x9611)+~P19(x9612)+P13(f69(x9612,x9613,x9611),x9613)+E(x9611,f141(x9612,x9613))+P13(f150(f150(f69(x9612,x9613,x9611),f80(x9612,x9613,x9611)),f150(f69(x9612,x9613,x9611),f69(x9612,x9613,x9611))),x9611)
% 4.67/4.87 [962]~P19(x9621)+~P19(x9623)+P13(f132(x9622,x9623,x9621),x9622)+E(x9621,f145(x9622,x9623))+P13(f150(f150(f119(x9622,x9623,x9621),f132(x9622,x9623,x9621)),f150(f119(x9622,x9623,x9621),f119(x9622,x9623,x9621))),x9621)
% 4.67/4.87 [965]~P19(x9652)+E(f55(x9652,x9653,x9651),x9653)+~P13(f55(x9652,x9653,x9651),x9651)+E(x9651,f131(x9652,x9653))+~P13(f150(f150(f55(x9652,x9653,x9651),x9653),f150(f55(x9652,x9653,x9651),f55(x9652,x9653,x9651))),x9652)
% 4.67/4.87 [966]~P19(x9661)+~P19(x9662)+E(x9661,f141(x9662,x9663))+P13(f150(f150(f69(x9662,x9663,x9661),f80(x9662,x9663,x9661)),f150(f69(x9662,x9663,x9661),f69(x9662,x9663,x9661))),x9661)+P13(f150(f150(f69(x9662,x9663,x9661),f80(x9662,x9663,x9661)),f150(f69(x9662,x9663,x9661),f69(x9662,x9663,x9661))),x9662)
% 4.67/4.87 [967]~P19(x9671)+~P19(x9673)+E(x9671,f145(x9672,x9673))+P13(f150(f150(f119(x9672,x9673,x9671),f132(x9672,x9673,x9671)),f150(f119(x9672,x9673,x9671),f119(x9672,x9673,x9671))),x9671)+P13(f150(f150(f119(x9672,x9673,x9671),f132(x9672,x9673,x9671)),f150(f119(x9672,x9673,x9671),f119(x9672,x9673,x9671))),x9673)
% 4.67/4.87 [660]~P13(x6603,x6601)+~P13(x6602,x6604)+P13(x6602,x6603)+E(x6601,a1)+~E(x6604,f147(x6601))
% 4.67/4.87 [684]~P8(x6842)+~P19(x6842)+~P13(x6841,x6843)+P13(x6841,f5(x6842))+~E(x6843,f142(x6842,x6844))
% 4.67/4.87 [724]~P8(x7241)+~P19(x7241)+~P13(x7242,x7244)+P13(f2(x7241,x7242),x7243)+~E(x7244,f142(x7241,x7243))
% 4.67/4.87 [919]~P8(x9191)+~P19(x9191)+~P13(x9194,x9193)+~E(x9193,f139(x9191,x9192))+P13(f91(x9191,x9192,x9193,x9194),x9192)
% 4.67/4.87 [921]~P8(x9211)+~P19(x9211)+~P13(x9214,x9213)+~E(x9213,f139(x9211,x9212))+P13(f91(x9211,x9212,x9213,x9214),f5(x9211))
% 4.67/4.87 [953]E(f47(x9532,x9533,x9534,x9531),x9534)+E(f47(x9532,x9533,x9534,x9531),x9533)+E(f47(x9532,x9533,x9534,x9531),x9532)+P13(f47(x9532,x9533,x9534,x9531),x9531)+E(x9531,f152(x9532,x9533,x9534))
% 4.67/4.87 [810]~E(x8101,x8102)+~P19(x8103)+~P13(x8101,x8104)+~E(x8103,f129(x8104))+P13(f150(f150(x8101,x8102),f150(x8101,x8101)),x8103)
% 4.67/4.87 [864]~P19(x8644)+E(x8641,x8642)+P13(x8641,x8643)+~E(x8643,f131(x8644,x8642))+~P13(f150(f150(x8641,x8642),f150(x8641,x8641)),x8644)
% 4.67/4.87 [885]~P19(x8852)+~P13(x8854,x8853)+~P13(x8854,f5(x8852))+P13(x8851,f139(x8852,x8853))+~P13(f150(f150(x8854,x8851),f150(x8854,x8854)),x8852)
% 4.67/4.87 [886]~P19(x8862)+~P13(x8864,x8863)+~P13(x8864,f136(x8862))+P13(x8861,f142(x8862,x8863))+~P13(f150(f150(x8861,x8864),f150(x8861,x8861)),x8862)
% 4.67/4.87 [896]~P19(x8963)+~P19(x8964)+~E(x8963,f138(x8964))+~P13(f150(f150(x8962,x8961),f150(x8962,x8962)),x8964)+P13(f150(f150(x8961,x8962),f150(x8961,x8961)),x8963)
% 4.67/4.87 [897]~P19(x8973)+~P19(x8974)+~E(x8974,f138(x8973))+~P13(f150(f150(x8972,x8971),f150(x8972,x8972)),x8974)+P13(f150(f150(x8971,x8972),f150(x8971,x8971)),x8973)
% 4.67/4.87 [920]~P8(x9201)+~P19(x9201)+~P13(x9204,x9203)+~E(x9203,f139(x9201,x9202))+E(f2(x9201,f91(x9201,x9202,x9203,x9204)),x9204)
% 4.67/4.87 [929]~P19(x9293)+~P27(x9293)+~P13(f150(f150(x9291,x9294),f150(x9291,x9291)),x9293)+P13(f150(f150(x9291,x9292),f150(x9291,x9291)),x9293)+~P13(f150(f150(x9294,x9292),f150(x9294,x9294)),x9293)
% 4.67/4.87 [947]~P19(x9472)+~P13(x9474,x9473)+~P13(f41(x9472,x9473,x9471),x9471)+E(x9471,f139(x9472,x9473))+~P13(f150(f150(x9474,f41(x9472,x9473,x9471)),f150(x9474,x9474)),x9472)
% 4.67/4.87 [964]~P19(x9642)+~P13(x9644,x9643)+~P13(f43(x9642,x9643,x9641),x9641)+E(x9641,f142(x9642,x9643))+~P13(f150(f150(f43(x9642,x9643,x9641),x9644),f150(f43(x9642,x9643,x9641),f43(x9642,x9643,x9641))),x9642)
% 4.67/4.87 [753]~P13(x7531,x7535)+E(x7531,x7532)+E(x7531,x7533)+E(x7531,x7534)+~E(x7535,f152(x7534,x7533,x7532))
% 4.67/4.87 [867]~P19(x8674)+~P19(x8673)+P13(x8671,x8672)+~E(x8673,f141(x8674,x8672))+~P13(f150(f150(x8671,x8675),f150(x8671,x8671)),x8673)
% 4.67/4.87 [868]~P19(x8684)+~P19(x8683)+P13(x8681,x8682)+~E(x8683,f145(x8682,x8684))+~P13(f150(f150(x8685,x8681),f150(x8685,x8685)),x8683)
% 4.67/4.87 [878]~P19(x8783)+P13(x8781,x8782)+~P13(x8785,x8784)+~E(x8782,f139(x8783,x8784))+~P13(f150(f150(x8785,x8781),f150(x8785,x8785)),x8783)
% 4.67/4.87 [879]~P19(x8793)+P13(x8791,x8792)+~P13(x8795,x8794)+~E(x8792,f142(x8793,x8794))+~P13(f150(f150(x8791,x8795),f150(x8791,x8791)),x8793)
% 4.67/4.87 [902]~P19(x9024)+~P19(x9023)+~E(x9024,f141(x9023,x9025))+~P13(f150(f150(x9021,x9022),f150(x9021,x9021)),x9024)+P13(f150(f150(x9021,x9022),f150(x9021,x9021)),x9023)
% 4.67/4.87 [903]~P19(x9034)+~P19(x9033)+~E(x9034,f145(x9035,x9033))+~P13(f150(f150(x9031,x9032),f150(x9031,x9031)),x9034)+P13(f150(f150(x9031,x9032),f150(x9031,x9031)),x9033)
% 4.67/4.87 [908]~P13(x9085,x9083)+~P13(x9084,x9082)+~P13(f63(x9082,x9083,x9081),x9081)+E(x9081,f3(x9082,x9083))+~E(f63(x9082,x9083,x9081),f150(f150(x9084,x9085),f150(x9084,x9084)))
% 4.67/4.87 [813]~P13(x8136,x8134)+~P13(x8135,x8133)+P13(x8131,x8132)+~E(x8132,f3(x8133,x8134))+~E(x8131,f150(f150(x8135,x8136),f150(x8135,x8135)))
% 4.67/4.87 [687]P13(x6872,x6871)+P13(x6871,x6872)+~P13(x6872,x6873)+~P13(x6871,x6873)+E(x6871,x6872)+~P10(x6873)
% 4.67/4.87 [725]~P11(x7252)+~P11(x7253)+~P13(x7253,x7251)+~P25(x7251,x7252)+E(x7251,a1)+P21(f17(x7251,x7252),x7253)
% 4.67/4.87 [798]~P8(x7982)+~P19(x7982)+~P13(x7983,f5(x7982))+~P13(f87(x7982,x7981),x7981)+~E(f87(x7982,x7981),f2(x7982,x7983))+E(x7981,f136(x7982))
% 4.67/4.87 [781]~P8(x7812)+~P8(x7811)+~P19(x7812)+~P19(x7811)+~P13(x7813,f5(x7811))+E(f2(f135(x7811,x7812),x7813),f2(x7812,f2(x7811,x7813)))
% 4.67/4.87 [800]~P8(x8002)+~P19(x8003)+~P19(x8002)+~P8(x8003)+P13(x8001,f5(x8002))+~P13(x8001,f5(f135(x8002,x8003)))
% 4.67/4.87 [811]~P8(x8113)+~P8(x8111)+~P19(x8113)+~P19(x8111)+P13(f2(x8111,x8112),f5(x8113))+~P13(x8112,f5(f135(x8111,x8113)))
% 4.67/4.87 [832]~P8(x8321)+~P8(x8322)+~P19(x8321)+~P19(x8322)+E(f2(f135(x8321,x8322),x8323),f2(x8322,f2(x8321,x8323)))+~P13(x8323,f5(f135(x8321,x8322)))
% 4.67/4.87 [939]~P8(x9392)+~P19(x9392)+~P13(f22(x9392,x9393,x9391),x9391)+~P13(f22(x9392,x9393,x9391),f5(x9392))+E(x9391,f142(x9392,x9393))+~P13(f2(x9392,f22(x9392,x9393,x9391)),x9393)
% 4.67/4.87 [750]~P8(x7502)+~P8(x7501)+~P19(x7502)+~P19(x7501)+~E(x7501,f141(x7502,x7503))+E(f5(x7501),f144(f5(x7502),f144(f5(x7502),x7503)))
% 4.67/4.87 [968]~P19(x9681)+~P19(x9683)+~P19(x9682)+E(x9681,f135(x9682,x9683))+P13(f150(f150(f101(x9682,x9683,x9681),f103(x9682,x9683,x9681)),f150(f101(x9682,x9683,x9681),f101(x9682,x9683,x9681))),x9681)+P13(f150(f150(f101(x9682,x9683,x9681),f104(x9682,x9683,x9681)),f150(f101(x9682,x9683,x9681),f101(x9682,x9683,x9681))),x9682)
% 4.67/4.87 [969]~P19(x9691)+~P19(x9693)+~P19(x9692)+E(x9691,f135(x9692,x9693))+P13(f150(f150(f101(x9692,x9693,x9691),f103(x9692,x9693,x9691)),f150(f101(x9692,x9693,x9691),f101(x9692,x9693,x9691))),x9691)+P13(f150(f150(f104(x9692,x9693,x9691),f103(x9692,x9693,x9691)),f150(f104(x9692,x9693,x9691),f104(x9692,x9693,x9691))),x9693)
% 4.67/4.87 [971]~P19(x9711)+~P19(x9712)+~P13(f69(x9712,x9713,x9711),x9713)+E(x9711,f141(x9712,x9713))+~P13(f150(f150(f69(x9712,x9713,x9711),f80(x9712,x9713,x9711)),f150(f69(x9712,x9713,x9711),f69(x9712,x9713,x9711))),x9711)+~P13(f150(f150(f69(x9712,x9713,x9711),f80(x9712,x9713,x9711)),f150(f69(x9712,x9713,x9711),f69(x9712,x9713,x9711))),x9712)
% 4.67/4.87 [972]~P19(x9721)+~P19(x9723)+~P13(f132(x9722,x9723,x9721),x9722)+E(x9721,f145(x9722,x9723))+~P13(f150(f150(f119(x9722,x9723,x9721),f132(x9722,x9723,x9721)),f150(f119(x9722,x9723,x9721),f119(x9722,x9723,x9721))),x9721)+~P13(f150(f150(f119(x9722,x9723,x9721),f132(x9722,x9723,x9721)),f150(f119(x9722,x9723,x9721),f119(x9722,x9723,x9721))),x9723)
% 4.67/4.87 [716]~P8(x7163)+~P19(x7163)+P13(x7161,x7162)+~P13(x7164,f5(x7163))+~E(x7161,f2(x7163,x7164))+~E(x7162,f136(x7163))
% 4.67/4.87 [790]~P8(x7903)+~P19(x7903)+P13(x7901,x7902)+~P13(x7901,f5(x7903))+~P13(f2(x7903,x7901),x7904)+~E(x7902,f142(x7903,x7904))
% 4.67/4.87 [831]~P13(x8312,x8314)+~P2(x8312,f133(x8311))+P13(f148(x8311,x8312),x8313)+~E(x8314,f4(x8311,x8313))+~P2(x8313,f133(f133(x8311)))+~P2(x8314,f133(f133(x8311)))
% 4.67/4.87 [834]P13(x8341,x8342)+~P2(x8341,f133(x8343))+~P13(f148(x8343,x8341),x8344)+~E(x8342,f4(x8343,x8344))+~P2(x8342,f133(f133(x8343)))+~P2(x8344,f133(f133(x8343)))
% 4.67/4.87 [904]~P19(x9043)+~P19(x9045)+~P13(x9042,x9044)+~E(x9043,f145(x9044,x9045))+~P13(f150(f150(x9041,x9042),f150(x9041,x9041)),x9045)+P13(f150(f150(x9041,x9042),f150(x9041,x9041)),x9043)
% 4.67/4.87 [905]~P19(x9053)+~P19(x9054)+~P13(x9051,x9055)+~E(x9053,f141(x9054,x9055))+~P13(f150(f150(x9051,x9052),f150(x9051,x9051)),x9054)+P13(f150(f150(x9051,x9052),f150(x9051,x9051)),x9053)
% 4.67/4.87 [975]~P19(x9754)+~P19(x9753)+~P19(x9752)+~E(x9754,f135(x9752,x9753))+~P13(f150(f150(x9751,x9755),f150(x9751,x9751)),x9754)+P13(f150(f150(x9751,f102(x9752,x9753,x9754,x9751,x9755)),f150(x9751,x9751)),x9752)
% 4.67/4.87 [976]~P19(x9763)+~P19(x9762)+~P19(x9761)+~E(x9763,f135(x9761,x9762))+~P13(f150(f150(x9764,x9765),f150(x9764,x9764)),x9763)+P13(f150(f150(f102(x9761,x9762,x9763,x9764,x9765),x9765),f150(f102(x9761,x9762,x9763,x9764,x9765),f102(x9761,x9762,x9763,x9764,x9765))),x9762)
% 4.67/4.87 [586]~P19(x5861)+~P4(x5861)+~P6(x5861)+~P27(x5861)+~P26(x5861)+~P22(x5861)+P23(x5861)
% 4.67/4.87 [776]~P19(x7761)+~P14(x7761,x7762)+~P15(x7761,x7762)+~P16(x7761,x7762)+~P17(x7761,x7762)+~P18(x7761,x7762)+P28(x7761,x7762)
% 4.67/4.87 [597]~P8(x5971)+~P8(x5972)+~P19(x5971)+~P19(x5972)+~P12(x5971)+~E(x5972,f130(x5971))+E(f136(x5971),f5(x5972))
% 4.67/4.87 [768]~P8(x7683)+~P19(x7683)+~P12(x7683)+E(x7681,x7682)+~P13(x7682,f5(x7683))+~P13(x7681,f5(x7683))+~E(f2(x7683,x7681),f2(x7683,x7682))
% 4.67/4.87 [823]~P8(x8233)+~P8(x8232)+~P19(x8233)+~P19(x8232)+~P13(x8231,f5(x8232))+~P13(f2(x8232,x8231),f5(x8233))+P13(x8231,f5(f135(x8232,x8233)))
% 4.67/4.87 [888]~P19(x8883)+~P6(x8883)+E(x8881,x8882)+~P13(x8882,f140(x8883))+~P13(x8881,f140(x8883))+P13(f150(f150(x8881,x8882),f150(x8881,x8881)),x8883)+P13(f150(f150(x8882,x8881),f150(x8882,x8882)),x8883)
% 4.67/4.87 [862]~P8(x8622)+~P8(x8621)+~P19(x8622)+~P19(x8621)+P13(f33(x8623,x8621,x8622),f5(x8621))+E(x8621,f141(x8622,x8623))+~E(f5(x8621),f144(f5(x8622),f144(f5(x8622),x8623)))
% 4.67/4.87 [913]~P8(x9132)+~P8(x9131)+~P19(x9132)+~P19(x9131)+E(x9131,f141(x9132,x9133))+~E(f2(x9131,f33(x9133,x9131,x9132)),f2(x9132,f33(x9133,x9131,x9132)))+~E(f5(x9131),f144(f5(x9132),f144(f5(x9132),x9133)))
% 4.67/4.87 [747]~P8(x7473)+~P8(x7471)+~P19(x7473)+~P19(x7471)+~P13(x7472,f5(x7471))+E(f2(x7471,x7472),f2(x7473,x7472))+~E(x7471,f141(x7473,x7474))
% 4.67/4.87 [891]~P8(x8912)+~P19(x8912)+~P13(x8914,x8913)+~P13(x8914,f5(x8912))+~P13(f100(x8912,x8913,x8911),x8911)+~E(f100(x8912,x8913,x8911),f2(x8912,x8914))+E(x8911,f139(x8912,x8913))
% 4.67/4.87 [887]~P19(x8873)+~P13(x8871,x8874)+~P15(x8873,x8874)+E(x8871,x8872)+~P13(x8872,x8874)+P13(f150(f150(x8871,x8872),f150(x8871,x8871)),x8873)+P13(f150(f150(x8872,x8871),f150(x8872,x8872)),x8873)
% 4.67/4.87 [914]~P13(x9141,x9144)+~P14(x9143,x9144)+E(x9141,x9142)+~P13(x9142,x9144)+~P19(x9143)+~P13(f150(f150(x9142,x9141),f150(x9142,x9142)),x9143)+~P13(f150(f150(x9141,x9142),f150(x9141,x9141)),x9143)
% 4.67/4.87 [973]~P19(x9731)+~P19(x9733)+~P19(x9732)+E(x9731,f135(x9732,x9733))+~P13(f150(f150(x9734,f103(x9732,x9733,x9731)),f150(x9734,x9734)),x9733)+~P13(f150(f150(f101(x9732,x9733,x9731),x9734),f150(f101(x9732,x9733,x9731),f101(x9732,x9733,x9731))),x9732)+~P13(f150(f150(f101(x9732,x9733,x9731),f103(x9732,x9733,x9731)),f150(f101(x9732,x9733,x9731),f101(x9732,x9733,x9731))),x9731)
% 4.67/4.87 [765]~P8(x7653)+~P19(x7653)+~P13(x7655,x7654)+P13(x7651,x7652)+~P13(x7655,f5(x7653))+~E(x7652,f139(x7653,x7654))+~E(x7651,f2(x7653,x7655))
% 4.67/4.87 [935]~P19(x9353)+~P19(x9355)+~P19(x9354)+~E(x9353,f135(x9354,x9355))+~P13(f150(f150(x9351,x9356),f150(x9351,x9351)),x9354)+P13(f150(f150(x9351,x9352),f150(x9351,x9351)),x9353)+~P13(f150(f150(x9356,x9352),f150(x9356,x9356)),x9355)
% 4.67/4.87 [936]~P19(x9363)+~P13(x9361,x9364)+~P16(x9363,x9364)+~P13(x9362,x9364)+~P13(x9365,x9364)+~P13(f150(f150(x9365,x9362),f150(x9365,x9365)),x9363)+~P13(f150(f150(x9361,x9365),f150(x9361,x9361)),x9363)+P13(f150(f150(x9361,x9362),f150(x9361,x9361)),x9363)
% 4.67/4.87 [789]~P8(x7891)+~P8(x7892)+~P19(x7891)+~P19(x7892)+~P12(x7892)+P13(f26(x7892,x7891),f136(x7892))+P13(f27(x7892,x7891),f5(x7892))+~E(f136(x7892),f5(x7891))+E(x7891,f130(x7892))
% 4.67/4.87 [796]~P8(x7961)+~P8(x7962)+~P19(x7961)+~P19(x7962)+~P12(x7962)+P13(f27(x7962,x7961),f5(x7962))+~E(f136(x7962),f5(x7961))+E(x7961,f130(x7962))+E(f2(x7961,f26(x7962,x7961)),f28(x7962,x7961))
% 4.67/4.87 [797]~P8(x7971)+~P8(x7972)+~P19(x7971)+~P19(x7972)+~P12(x7972)+P13(f26(x7972,x7971),f136(x7972))+~E(f136(x7972),f5(x7971))+E(x7971,f130(x7972))+E(f2(x7972,f27(x7972,x7971)),f29(x7972,x7971))
% 4.67/4.87 [799]~P8(x7991)+~P8(x7992)+~P19(x7991)+~P19(x7992)+~P12(x7992)+~E(f136(x7992),f5(x7991))+E(x7991,f130(x7992))+E(f2(x7991,f26(x7992,x7991)),f28(x7992,x7991))+E(f2(x7992,f27(x7992,x7991)),f29(x7992,x7991))
% 4.67/4.87 [751]~P8(x7514)+~P8(x7512)+~P19(x7514)+~P19(x7512)+~P12(x7512)+~E(x7513,f2(x7514,x7511))+~P13(x7511,f136(x7512))+E(x7511,f2(x7512,x7513))+~E(x7514,f130(x7512))
% 4.67/4.87 [752]~P8(x7524)+~P8(x7522)+~P19(x7524)+~P19(x7522)+~P12(x7524)+~E(x7523,f2(x7524,x7521))+~P13(x7521,f5(x7524))+E(x7521,f2(x7522,x7523))+~E(x7522,f130(x7524))
% 4.67/4.87 [756]~P8(x7563)+~P8(x7562)+~P19(x7563)+~P19(x7562)+~P12(x7562)+~P13(x7564,f136(x7562))+P13(x7561,f5(x7562))+~E(x7561,f2(x7563,x7564))+~E(x7563,f130(x7562))
% 4.67/4.87 [757]~P8(x7573)+~P8(x7572)+~P19(x7573)+~P19(x7572)+~P12(x7572)+~P13(x7574,f5(x7572))+P13(x7571,f136(x7572))+~E(x7571,f2(x7572,x7574))+~E(x7573,f130(x7572))
% 4.67/4.87 [855]~P8(x8551)+~P8(x8552)+~P19(x8551)+~P19(x8552)+~P12(x8552)+P13(f26(x8552,x8551),f136(x8552))+~E(f136(x8552),f5(x8551))+~P13(f29(x8552,x8551),f136(x8552))+E(x8551,f130(x8552))+~E(f2(x8551,f29(x8552,x8551)),f27(x8552,x8551))
% 4.67/4.87 [856]~P8(x8561)+~P8(x8562)+~P19(x8561)+~P19(x8562)+~P12(x8562)+P13(f27(x8562,x8561),f5(x8562))+~E(f136(x8562),f5(x8561))+~P13(f28(x8562,x8561),f5(x8562))+E(x8561,f130(x8562))+~E(f2(x8562,f28(x8562,x8561)),f26(x8562,x8561))
% 4.67/4.87 [860]~P8(x8601)+~P8(x8602)+~P19(x8601)+~P19(x8602)+~P12(x8602)+~E(f136(x8602),f5(x8601))+~P13(f29(x8602,x8601),f136(x8602))+E(x8601,f130(x8602))+E(f2(x8601,f26(x8602,x8601)),f28(x8602,x8601))+~E(f2(x8601,f29(x8602,x8601)),f27(x8602,x8601))
% 4.67/4.87 [861]~P8(x8611)+~P8(x8612)+~P19(x8611)+~P19(x8612)+~P12(x8612)+~E(f136(x8612),f5(x8611))+~P13(f28(x8612,x8611),f5(x8612))+E(x8611,f130(x8612))+E(f2(x8612,f27(x8612,x8611)),f29(x8612,x8611))+~E(f2(x8612,f28(x8612,x8611)),f26(x8612,x8611))
% 4.67/4.87 [889]~P8(x8891)+~P8(x8892)+~P19(x8891)+~P19(x8892)+~P12(x8892)+~E(f136(x8892),f5(x8891))+~P13(f28(x8892,x8891),f5(x8892))+~P13(f29(x8892,x8891),f136(x8892))+E(x8891,f130(x8892))+~E(f2(x8892,f28(x8892,x8891)),f26(x8892,x8891))+~E(f2(x8891,f29(x8892,x8891)),f27(x8892,x8891))
% 4.67/4.87 %EqnAxiom
% 4.67/4.87 [1]E(x11,x11)
% 4.67/4.87 [2]E(x22,x21)+~E(x21,x22)
% 4.67/4.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.67/4.87 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 4.67/4.87 [5]~E(x51,x52)+E(f136(x51),f136(x52))
% 4.67/4.87 [6]~E(x61,x62)+E(f126(x61),f126(x62))
% 4.67/4.87 [7]~E(x71,x72)+E(f129(x71),f129(x72))
% 4.67/4.87 [8]~E(x81,x82)+E(f45(x81,x83,x84),f45(x82,x83,x84))
% 4.67/4.87 [9]~E(x91,x92)+E(f45(x93,x91,x94),f45(x93,x92,x94))
% 4.67/4.87 [10]~E(x101,x102)+E(f45(x103,x104,x101),f45(x103,x104,x102))
% 4.67/4.87 [11]~E(x111,x112)+E(f43(x111,x113,x114),f43(x112,x113,x114))
% 4.67/4.87 [12]~E(x121,x122)+E(f43(x123,x121,x124),f43(x123,x122,x124))
% 4.67/4.87 [13]~E(x131,x132)+E(f43(x133,x134,x131),f43(x133,x134,x132))
% 4.67/4.87 [14]~E(x141,x142)+E(f150(x141,x143),f150(x142,x143))
% 4.67/4.87 [15]~E(x151,x152)+E(f150(x153,x151),f150(x153,x152))
% 4.67/4.87 [16]~E(x161,x162)+E(f61(x161,x163),f61(x162,x163))
% 4.67/4.87 [17]~E(x171,x172)+E(f61(x173,x171),f61(x173,x172))
% 4.67/4.87 [18]~E(x181,x182)+E(f133(x181),f133(x182))
% 4.67/4.87 [19]~E(x191,x192)+E(f143(x191),f143(x192))
% 4.67/4.87 [20]~E(x201,x202)+E(f142(x201,x203),f142(x202,x203))
% 4.67/4.87 [21]~E(x211,x212)+E(f142(x213,x211),f142(x213,x212))
% 4.67/4.87 [22]~E(x221,x222)+E(f100(x221,x223,x224),f100(x222,x223,x224))
% 4.67/4.87 [23]~E(x231,x232)+E(f100(x233,x231,x234),f100(x233,x232,x234))
% 4.67/4.87 [24]~E(x241,x242)+E(f100(x243,x244,x241),f100(x243,x244,x242))
% 4.67/4.87 [25]~E(x251,x252)+E(f144(x251,x253),f144(x252,x253))
% 4.67/4.87 [26]~E(x261,x262)+E(f144(x263,x261),f144(x263,x262))
% 4.67/4.87 [27]~E(x271,x272)+E(f146(x271,x273),f146(x272,x273))
% 4.67/4.87 [28]~E(x281,x282)+E(f146(x283,x281),f146(x283,x282))
% 4.67/4.87 [29]~E(x291,x292)+E(f28(x291,x293),f28(x292,x293))
% 4.67/4.87 [30]~E(x301,x302)+E(f28(x303,x301),f28(x303,x302))
% 4.67/4.87 [31]~E(x311,x312)+E(f62(x311,x313),f62(x312,x313))
% 4.67/4.87 [32]~E(x321,x322)+E(f62(x323,x321),f62(x323,x322))
% 4.67/4.87 [33]~E(x331,x332)+E(f139(x331,x333),f139(x332,x333))
% 4.67/4.87 [34]~E(x341,x342)+E(f139(x343,x341),f139(x343,x342))
% 4.67/4.87 [35]~E(x351,x352)+E(f109(x351),f109(x352))
% 4.67/4.87 [36]~E(x361,x362)+E(f11(x361),f11(x362))
% 4.67/4.87 [37]~E(x371,x372)+E(f18(x371),f18(x372))
% 4.67/4.87 [38]~E(x381,x382)+E(f101(x381,x383,x384),f101(x382,x383,x384))
% 4.67/4.87 [39]~E(x391,x392)+E(f101(x393,x391,x394),f101(x393,x392,x394))
% 4.67/4.87 [40]~E(x401,x402)+E(f101(x403,x404,x401),f101(x403,x404,x402))
% 4.67/4.87 [41]~E(x411,x412)+E(f34(x411),f34(x412))
% 4.67/4.87 [42]~E(x421,x422)+E(f66(x421,x423,x424,x425),f66(x422,x423,x424,x425))
% 4.67/4.87 [43]~E(x431,x432)+E(f66(x433,x431,x434,x435),f66(x433,x432,x434,x435))
% 4.67/4.87 [44]~E(x441,x442)+E(f66(x443,x444,x441,x445),f66(x443,x444,x442,x445))
% 4.67/4.87 [45]~E(x451,x452)+E(f66(x453,x454,x455,x451),f66(x453,x454,x455,x452))
% 4.67/4.87 [46]~E(x461,x462)+E(f27(x461,x463),f27(x462,x463))
% 4.67/4.87 [47]~E(x471,x472)+E(f27(x473,x471),f27(x473,x472))
% 4.67/4.87 [48]~E(x481,x482)+E(f2(x481,x483),f2(x482,x483))
% 4.67/4.87 [49]~E(x491,x492)+E(f2(x493,x491),f2(x493,x492))
% 4.67/4.87 [50]~E(x501,x502)+E(f112(x501,x503,x504),f112(x502,x503,x504))
% 4.67/4.87 [51]~E(x511,x512)+E(f112(x513,x511,x514),f112(x513,x512,x514))
% 4.67/4.87 [52]~E(x521,x522)+E(f112(x523,x524,x521),f112(x523,x524,x522))
% 4.67/4.87 [53]~E(x531,x532)+E(f33(x531,x533,x534),f33(x532,x533,x534))
% 4.67/4.87 [54]~E(x541,x542)+E(f33(x543,x541,x544),f33(x543,x542,x544))
% 4.67/4.87 [55]~E(x551,x552)+E(f33(x553,x554,x551),f33(x553,x554,x552))
% 4.67/4.87 [56]~E(x561,x562)+E(f108(x561),f108(x562))
% 4.67/4.87 [57]~E(x571,x572)+E(f103(x571,x573,x574),f103(x572,x573,x574))
% 4.67/4.87 [58]~E(x581,x582)+E(f103(x583,x581,x584),f103(x583,x582,x584))
% 4.67/4.87 [59]~E(x591,x592)+E(f103(x593,x594,x591),f103(x593,x594,x592))
% 4.67/4.88 [60]~E(x601,x602)+E(f69(x601,x603,x604),f69(x602,x603,x604))
% 4.67/4.88 [61]~E(x611,x612)+E(f69(x613,x611,x614),f69(x613,x612,x614))
% 4.67/4.88 [62]~E(x621,x622)+E(f69(x623,x624,x621),f69(x623,x624,x622))
% 4.67/4.88 [63]~E(x631,x632)+E(f149(x631,x633,x634),f149(x632,x633,x634))
% 4.67/4.88 [64]~E(x641,x642)+E(f149(x643,x641,x644),f149(x643,x642,x644))
% 4.67/4.88 [65]~E(x651,x652)+E(f149(x653,x654,x651),f149(x653,x654,x652))
% 4.67/4.88 [66]~E(x661,x662)+E(f64(x661,x663,x664),f64(x662,x663,x664))
% 4.67/4.88 [67]~E(x671,x672)+E(f64(x673,x671,x674),f64(x673,x672,x674))
% 4.67/4.88 [68]~E(x681,x682)+E(f64(x683,x684,x681),f64(x683,x684,x682))
% 4.67/4.88 [69]~E(x691,x692)+E(f49(x691,x693),f49(x692,x693))
% 4.67/4.88 [70]~E(x701,x702)+E(f49(x703,x701),f49(x703,x702))
% 4.67/4.88 [71]~E(x711,x712)+E(f130(x711),f130(x712))
% 4.67/4.88 [72]~E(x721,x722)+E(f79(x721,x723),f79(x722,x723))
% 4.67/4.88 [73]~E(x731,x732)+E(f79(x733,x731),f79(x733,x732))
% 4.67/4.88 [74]~E(x741,x742)+E(f41(x741,x743,x744),f41(x742,x743,x744))
% 4.67/4.88 [75]~E(x751,x752)+E(f41(x753,x751,x754),f41(x753,x752,x754))
% 4.67/4.88 [76]~E(x761,x762)+E(f41(x763,x764,x761),f41(x763,x764,x762))
% 4.67/4.88 [77]~E(x771,x772)+E(f19(x771),f19(x772))
% 4.67/4.88 [78]~E(x781,x782)+E(f111(x781),f111(x782))
% 4.67/4.88 [79]~E(x791,x792)+E(f29(x791,x793),f29(x792,x793))
% 4.67/4.88 [80]~E(x801,x802)+E(f29(x803,x801),f29(x803,x802))
% 4.67/4.88 [81]~E(x811,x812)+E(f16(x811,x813,x814),f16(x812,x813,x814))
% 4.67/4.88 [82]~E(x821,x822)+E(f16(x823,x821,x824),f16(x823,x822,x824))
% 4.67/4.88 [83]~E(x831,x832)+E(f16(x833,x834,x831),f16(x833,x834,x832))
% 4.67/4.88 [84]~E(x841,x842)+E(f15(x841,x843,x844),f15(x842,x843,x844))
% 4.67/4.88 [85]~E(x851,x852)+E(f15(x853,x851,x854),f15(x853,x852,x854))
% 4.67/4.88 [86]~E(x861,x862)+E(f15(x863,x864,x861),f15(x863,x864,x862))
% 4.67/4.88 [87]~E(x871,x872)+E(f137(x871,x873),f137(x872,x873))
% 4.67/4.88 [88]~E(x881,x882)+E(f137(x883,x881),f137(x883,x882))
% 4.67/4.88 [89]~E(x891,x892)+E(f104(x891,x893,x894),f104(x892,x893,x894))
% 4.67/4.88 [90]~E(x901,x902)+E(f104(x903,x901,x904),f104(x903,x902,x904))
% 4.67/4.88 [91]~E(x911,x912)+E(f104(x913,x914,x911),f104(x913,x914,x912))
% 4.67/4.88 [92]~E(x921,x922)+E(f119(x921,x923,x924),f119(x922,x923,x924))
% 4.67/4.88 [93]~E(x931,x932)+E(f119(x933,x931,x934),f119(x933,x932,x934))
% 4.67/4.88 [94]~E(x941,x942)+E(f119(x943,x944,x941),f119(x943,x944,x942))
% 4.67/4.88 [95]~E(x951,x952)+E(f138(x951),f138(x952))
% 4.67/4.88 [96]~E(x961,x962)+E(f58(x961,x963),f58(x962,x963))
% 4.67/4.88 [97]~E(x971,x972)+E(f58(x973,x971),f58(x973,x972))
% 4.67/4.88 [98]~E(x981,x982)+E(f65(x981,x983,x984,x985),f65(x982,x983,x984,x985))
% 4.67/4.88 [99]~E(x991,x992)+E(f65(x993,x991,x994,x995),f65(x993,x992,x994,x995))
% 4.67/4.88 [100]~E(x1001,x1002)+E(f65(x1003,x1004,x1001,x1005),f65(x1003,x1004,x1002,x1005))
% 4.67/4.88 [101]~E(x1011,x1012)+E(f65(x1013,x1014,x1015,x1011),f65(x1013,x1014,x1015,x1012))
% 4.67/4.88 [102]~E(x1021,x1022)+E(f26(x1021,x1023),f26(x1022,x1023))
% 4.67/4.88 [103]~E(x1031,x1032)+E(f26(x1033,x1031),f26(x1033,x1032))
% 4.67/4.88 [104]~E(x1041,x1042)+E(f46(x1041,x1043),f46(x1042,x1043))
% 4.67/4.88 [105]~E(x1051,x1052)+E(f46(x1053,x1051),f46(x1053,x1052))
% 4.67/4.88 [106]~E(x1061,x1062)+E(f140(x1061),f140(x1062))
% 4.67/4.88 [107]~E(x1071,x1072)+E(f88(x1071,x1073,x1074),f88(x1072,x1073,x1074))
% 4.67/4.88 [108]~E(x1081,x1082)+E(f88(x1083,x1081,x1084),f88(x1083,x1082,x1084))
% 4.67/4.88 [109]~E(x1091,x1092)+E(f88(x1093,x1094,x1091),f88(x1093,x1094,x1092))
% 4.67/4.88 [110]~E(x1101,x1102)+E(f55(x1101,x1103,x1104),f55(x1102,x1103,x1104))
% 4.67/4.88 [111]~E(x1111,x1112)+E(f55(x1113,x1111,x1114),f55(x1113,x1112,x1114))
% 4.67/4.88 [112]~E(x1121,x1122)+E(f55(x1123,x1124,x1121),f55(x1123,x1124,x1122))
% 4.67/4.88 [113]~E(x1131,x1132)+E(f52(x1131,x1133),f52(x1132,x1133))
% 4.67/4.88 [114]~E(x1141,x1142)+E(f52(x1143,x1141),f52(x1143,x1142))
% 4.67/4.88 [115]~E(x1151,x1152)+E(f54(x1151,x1153),f54(x1152,x1153))
% 4.67/4.88 [116]~E(x1161,x1162)+E(f54(x1163,x1161),f54(x1163,x1162))
% 4.67/4.88 [117]~E(x1171,x1172)+E(f3(x1171,x1173),f3(x1172,x1173))
% 4.67/4.88 [118]~E(x1181,x1182)+E(f3(x1183,x1181),f3(x1183,x1182))
% 4.67/4.88 [119]~E(x1191,x1192)+E(f147(x1191),f147(x1192))
% 4.67/4.88 [120]~E(x1201,x1202)+E(f131(x1201,x1203),f131(x1202,x1203))
% 4.67/4.88 [121]~E(x1211,x1212)+E(f131(x1213,x1211),f131(x1213,x1212))
% 4.67/4.88 [122]~E(x1221,x1222)+E(f60(x1221,x1223),f60(x1222,x1223))
% 4.67/4.88 [123]~E(x1231,x1232)+E(f60(x1233,x1231),f60(x1233,x1232))
% 4.67/4.88 [124]~E(x1241,x1242)+E(f110(x1241),f110(x1242))
% 4.67/4.88 [125]~E(x1251,x1252)+E(f135(x1251,x1253),f135(x1252,x1253))
% 4.67/4.88 [126]~E(x1261,x1262)+E(f135(x1263,x1261),f135(x1263,x1262))
% 4.67/4.88 [127]~E(x1271,x1272)+E(f151(x1271,x1273),f151(x1272,x1273))
% 4.67/4.88 [128]~E(x1281,x1282)+E(f151(x1283,x1281),f151(x1283,x1282))
% 4.67/4.88 [129]~E(x1291,x1292)+E(f132(x1291,x1293,x1294),f132(x1292,x1293,x1294))
% 4.67/4.88 [130]~E(x1301,x1302)+E(f132(x1303,x1301,x1304),f132(x1303,x1302,x1304))
% 4.67/4.88 [131]~E(x1311,x1312)+E(f132(x1313,x1314,x1311),f132(x1313,x1314,x1312))
% 4.67/4.88 [132]~E(x1321,x1322)+E(f141(x1321,x1323),f141(x1322,x1323))
% 4.67/4.88 [133]~E(x1331,x1332)+E(f141(x1333,x1331),f141(x1333,x1332))
% 4.67/4.88 [134]~E(x1341,x1342)+E(f77(x1341,x1343,x1344),f77(x1342,x1343,x1344))
% 4.67/4.88 [135]~E(x1351,x1352)+E(f77(x1353,x1351,x1354),f77(x1353,x1352,x1354))
% 4.67/4.88 [136]~E(x1361,x1362)+E(f77(x1363,x1364,x1361),f77(x1363,x1364,x1362))
% 4.67/4.88 [137]~E(x1371,x1372)+E(f35(x1371),f35(x1372))
% 4.67/4.88 [138]~E(x1381,x1382)+E(f36(x1381),f36(x1382))
% 4.67/4.88 [139]~E(x1391,x1392)+E(f89(x1391,x1393,x1394),f89(x1392,x1393,x1394))
% 4.67/4.88 [140]~E(x1401,x1402)+E(f89(x1403,x1401,x1404),f89(x1403,x1402,x1404))
% 4.67/4.88 [141]~E(x1411,x1412)+E(f89(x1413,x1414,x1411),f89(x1413,x1414,x1412))
% 4.67/4.88 [142]~E(x1421,x1422)+E(f14(x1421,x1423),f14(x1422,x1423))
% 4.67/4.88 [143]~E(x1431,x1432)+E(f14(x1433,x1431),f14(x1433,x1432))
% 4.67/4.88 [144]~E(x1441,x1442)+E(f92(x1441,x1443),f92(x1442,x1443))
% 4.67/4.88 [145]~E(x1451,x1452)+E(f92(x1453,x1451),f92(x1453,x1452))
% 4.67/4.88 [146]~E(x1461,x1462)+E(f97(x1461,x1463),f97(x1462,x1463))
% 4.67/4.88 [147]~E(x1471,x1472)+E(f97(x1473,x1471),f97(x1473,x1472))
% 4.67/4.88 [148]~E(x1481,x1482)+E(f115(x1481),f115(x1482))
% 4.67/4.88 [149]~E(x1491,x1492)+E(f107(x1491,x1493,x1494),f107(x1492,x1493,x1494))
% 4.67/4.88 [150]~E(x1501,x1502)+E(f107(x1503,x1501,x1504),f107(x1503,x1502,x1504))
% 4.67/4.88 [151]~E(x1511,x1512)+E(f107(x1513,x1514,x1511),f107(x1513,x1514,x1512))
% 4.67/4.88 [152]~E(x1521,x1522)+E(f40(x1521,x1523),f40(x1522,x1523))
% 4.67/4.88 [153]~E(x1531,x1532)+E(f40(x1533,x1531),f40(x1533,x1532))
% 4.67/4.88 [154]~E(x1541,x1542)+E(f96(x1541,x1543),f96(x1542,x1543))
% 4.67/4.88 [155]~E(x1551,x1552)+E(f96(x1553,x1551),f96(x1553,x1552))
% 4.67/4.88 [156]~E(x1561,x1562)+E(f145(x1561,x1563),f145(x1562,x1563))
% 4.67/4.88 [157]~E(x1571,x1572)+E(f145(x1573,x1571),f145(x1573,x1572))
% 4.67/4.88 [158]~E(x1581,x1582)+E(f72(x1581,x1583),f72(x1582,x1583))
% 4.67/4.88 [159]~E(x1591,x1592)+E(f72(x1593,x1591),f72(x1593,x1592))
% 4.67/4.88 [160]~E(x1601,x1602)+E(f134(x1601,x1603),f134(x1602,x1603))
% 4.67/4.88 [161]~E(x1611,x1612)+E(f134(x1613,x1611),f134(x1613,x1612))
% 4.67/4.88 [162]~E(x1621,x1622)+E(f85(x1621,x1623,x1624),f85(x1622,x1623,x1624))
% 4.67/4.88 [163]~E(x1631,x1632)+E(f85(x1633,x1631,x1634),f85(x1633,x1632,x1634))
% 4.67/4.88 [164]~E(x1641,x1642)+E(f85(x1643,x1644,x1641),f85(x1643,x1644,x1642))
% 4.67/4.88 [165]~E(x1651,x1652)+E(f148(x1651,x1653),f148(x1652,x1653))
% 4.67/4.88 [166]~E(x1661,x1662)+E(f148(x1663,x1661),f148(x1663,x1662))
% 4.67/4.88 [167]~E(x1671,x1672)+E(f93(x1671,x1673,x1674),f93(x1672,x1673,x1674))
% 4.67/4.88 [168]~E(x1681,x1682)+E(f93(x1683,x1681,x1684),f93(x1683,x1682,x1684))
% 4.67/4.88 [169]~E(x1691,x1692)+E(f93(x1693,x1694,x1691),f93(x1693,x1694,x1692))
% 4.67/4.88 [170]~E(x1701,x1702)+E(f99(x1701,x1703),f99(x1702,x1703))
% 4.67/4.88 [171]~E(x1711,x1712)+E(f99(x1713,x1711),f99(x1713,x1712))
% 4.67/4.88 [172]~E(x1721,x1722)+E(f68(x1721,x1723,x1724),f68(x1722,x1723,x1724))
% 4.67/4.88 [173]~E(x1731,x1732)+E(f68(x1733,x1731,x1734),f68(x1733,x1732,x1734))
% 4.67/4.88 [174]~E(x1741,x1742)+E(f68(x1743,x1744,x1741),f68(x1743,x1744,x1742))
% 4.67/4.88 [175]~E(x1751,x1752)+E(f37(x1751),f37(x1752))
% 4.67/4.88 [176]~E(x1761,x1762)+E(f121(x1761),f121(x1762))
% 4.67/4.88 [177]~E(x1771,x1772)+E(f152(x1771,x1773,x1774),f152(x1772,x1773,x1774))
% 4.67/4.88 [178]~E(x1781,x1782)+E(f152(x1783,x1781,x1784),f152(x1783,x1782,x1784))
% 4.67/4.88 [179]~E(x1791,x1792)+E(f152(x1793,x1794,x1791),f152(x1793,x1794,x1792))
% 4.67/4.88 [180]~E(x1801,x1802)+E(f22(x1801,x1803,x1804),f22(x1802,x1803,x1804))
% 4.67/4.88 [181]~E(x1811,x1812)+E(f22(x1813,x1811,x1814),f22(x1813,x1812,x1814))
% 4.67/4.88 [182]~E(x1821,x1822)+E(f22(x1823,x1824,x1821),f22(x1823,x1824,x1822))
% 4.67/4.88 [183]~E(x1831,x1832)+E(f102(x1831,x1833,x1834,x1835,x1836),f102(x1832,x1833,x1834,x1835,x1836))
% 4.67/4.88 [184]~E(x1841,x1842)+E(f102(x1843,x1841,x1844,x1845,x1846),f102(x1843,x1842,x1844,x1845,x1846))
% 4.67/4.88 [185]~E(x1851,x1852)+E(f102(x1853,x1854,x1851,x1855,x1856),f102(x1853,x1854,x1852,x1855,x1856))
% 4.67/4.88 [186]~E(x1861,x1862)+E(f102(x1863,x1864,x1865,x1861,x1866),f102(x1863,x1864,x1865,x1862,x1866))
% 4.67/4.88 [187]~E(x1871,x1872)+E(f102(x1873,x1874,x1875,x1876,x1871),f102(x1873,x1874,x1875,x1876,x1872))
% 4.67/4.88 [188]~E(x1881,x1882)+E(f44(x1881,x1883,x1884,x1885),f44(x1882,x1883,x1884,x1885))
% 4.67/4.88 [189]~E(x1891,x1892)+E(f44(x1893,x1891,x1894,x1895),f44(x1893,x1892,x1894,x1895))
% 4.67/4.88 [190]~E(x1901,x1902)+E(f44(x1903,x1904,x1901,x1905),f44(x1903,x1904,x1902,x1905))
% 4.67/4.88 [191]~E(x1911,x1912)+E(f44(x1913,x1914,x1915,x1911),f44(x1913,x1914,x1915,x1912))
% 4.67/4.88 [192]~E(x1921,x1922)+E(f57(x1921,x1923),f57(x1922,x1923))
% 4.67/4.88 [193]~E(x1931,x1932)+E(f57(x1933,x1931),f57(x1933,x1932))
% 4.67/4.88 [194]~E(x1941,x1942)+E(f50(x1941,x1943),f50(x1942,x1943))
% 4.67/4.88 [195]~E(x1951,x1952)+E(f50(x1953,x1951),f50(x1953,x1952))
% 4.67/4.88 [196]~E(x1961,x1962)+E(f38(x1961),f38(x1962))
% 4.67/4.88 [197]~E(x1971,x1972)+E(f114(x1971),f114(x1972))
% 4.67/4.88 [198]~E(x1981,x1982)+E(f23(x1981),f23(x1982))
% 4.67/4.88 [199]~E(x1991,x1992)+E(f81(x1991,x1993),f81(x1992,x1993))
% 4.67/4.88 [200]~E(x2001,x2002)+E(f81(x2003,x2001),f81(x2003,x2002))
% 4.67/4.88 [201]~E(x2011,x2012)+E(f82(x2011,x2013),f82(x2012,x2013))
% 4.67/4.88 [202]~E(x2021,x2022)+E(f82(x2023,x2021),f82(x2023,x2022))
% 4.67/4.88 [203]~E(x2031,x2032)+E(f83(x2031,x2033),f83(x2032,x2033))
% 4.67/4.88 [204]~E(x2041,x2042)+E(f83(x2043,x2041),f83(x2043,x2042))
% 4.67/4.88 [205]~E(x2051,x2052)+E(f116(x2051),f116(x2052))
% 4.67/4.88 [206]~E(x2061,x2062)+E(f94(x2061,x2063),f94(x2062,x2063))
% 4.67/4.88 [207]~E(x2071,x2072)+E(f94(x2073,x2071),f94(x2073,x2072))
% 4.67/4.88 [208]~E(x2081,x2082)+E(f76(x2081,x2083),f76(x2082,x2083))
% 4.67/4.88 [209]~E(x2091,x2092)+E(f76(x2093,x2091),f76(x2093,x2092))
% 4.67/4.88 [210]~E(x2101,x2102)+E(f13(x2101),f13(x2102))
% 4.67/4.88 [211]~E(x2111,x2112)+E(f56(x2111),f56(x2112))
% 4.67/4.88 [212]~E(x2121,x2122)+E(f73(x2121,x2123),f73(x2122,x2123))
% 4.67/4.88 [213]~E(x2131,x2132)+E(f73(x2133,x2131),f73(x2133,x2132))
% 4.67/4.88 [214]~E(x2141,x2142)+E(f117(x2141,x2143),f117(x2142,x2143))
% 4.67/4.88 [215]~E(x2151,x2152)+E(f117(x2153,x2151),f117(x2153,x2152))
% 4.67/4.88 [216]~E(x2161,x2162)+E(f39(x2161),f39(x2162))
% 4.67/4.88 [217]~E(x2171,x2172)+E(f47(x2171,x2173,x2174,x2175),f47(x2172,x2173,x2174,x2175))
% 4.67/4.88 [218]~E(x2181,x2182)+E(f47(x2183,x2181,x2184,x2185),f47(x2183,x2182,x2184,x2185))
% 4.67/4.88 [219]~E(x2191,x2192)+E(f47(x2193,x2194,x2191,x2195),f47(x2193,x2194,x2192,x2195))
% 4.67/4.88 [220]~E(x2201,x2202)+E(f47(x2203,x2204,x2205,x2201),f47(x2203,x2204,x2205,x2202))
% 4.67/4.88 [221]~E(x2211,x2212)+E(f87(x2211,x2213),f87(x2212,x2213))
% 4.67/4.88 [222]~E(x2221,x2222)+E(f87(x2223,x2221),f87(x2223,x2222))
% 4.67/4.88 [223]~E(x2231,x2232)+E(f71(x2231,x2233),f71(x2232,x2233))
% 4.67/4.88 [224]~E(x2241,x2242)+E(f71(x2243,x2241),f71(x2243,x2242))
% 4.67/4.88 [225]~E(x2251,x2252)+E(f105(x2251,x2253),f105(x2252,x2253))
% 4.67/4.88 [226]~E(x2261,x2262)+E(f105(x2263,x2261),f105(x2263,x2262))
% 4.67/4.88 [227]~E(x2271,x2272)+E(f113(x2271),f113(x2272))
% 4.67/4.88 [228]~E(x2281,x2282)+E(f95(x2281,x2283),f95(x2282,x2283))
% 4.67/4.88 [229]~E(x2291,x2292)+E(f95(x2293,x2291),f95(x2293,x2292))
% 4.67/4.88 [230]~E(x2301,x2302)+E(f32(x2301,x2303,x2304,x2305),f32(x2302,x2303,x2304,x2305))
% 4.67/4.88 [231]~E(x2311,x2312)+E(f32(x2313,x2311,x2314,x2315),f32(x2313,x2312,x2314,x2315))
% 4.67/4.88 [232]~E(x2321,x2322)+E(f32(x2323,x2324,x2321,x2325),f32(x2323,x2324,x2322,x2325))
% 4.67/4.88 [233]~E(x2331,x2332)+E(f32(x2333,x2334,x2335,x2331),f32(x2333,x2334,x2335,x2332))
% 4.67/4.88 [234]~E(x2341,x2342)+E(f51(x2341,x2343),f51(x2342,x2343))
% 4.67/4.88 [235]~E(x2351,x2352)+E(f51(x2353,x2351),f51(x2353,x2352))
% 4.67/4.88 [236]~E(x2361,x2362)+E(f4(x2361,x2363),f4(x2362,x2363))
% 4.67/4.88 [237]~E(x2371,x2372)+E(f4(x2373,x2371),f4(x2373,x2372))
% 4.67/4.88 [238]~E(x2381,x2382)+E(f106(x2381,x2383),f106(x2382,x2383))
% 4.67/4.88 [239]~E(x2391,x2392)+E(f106(x2393,x2391),f106(x2393,x2392))
% 4.67/4.88 [240]~E(x2401,x2402)+E(f53(x2401,x2403,x2404),f53(x2402,x2403,x2404))
% 4.67/4.88 [241]~E(x2411,x2412)+E(f53(x2413,x2411,x2414),f53(x2413,x2412,x2414))
% 4.67/4.88 [242]~E(x2421,x2422)+E(f53(x2423,x2424,x2421),f53(x2423,x2424,x2422))
% 4.67/4.88 [243]~E(x2431,x2432)+E(f70(x2431),f70(x2432))
% 4.67/4.88 [244]~E(x2441,x2442)+E(f98(x2441),f98(x2442))
% 4.67/4.88 [245]~E(x2451,x2452)+E(f86(x2451,x2453),f86(x2452,x2453))
% 4.67/4.88 [246]~E(x2461,x2462)+E(f86(x2463,x2461),f86(x2463,x2462))
% 4.67/4.88 [247]~E(x2471,x2472)+E(f59(x2471,x2473,x2474),f59(x2472,x2473,x2474))
% 4.67/4.88 [248]~E(x2481,x2482)+E(f59(x2483,x2481,x2484),f59(x2483,x2482,x2484))
% 4.67/4.88 [249]~E(x2491,x2492)+E(f59(x2493,x2494,x2491),f59(x2493,x2494,x2492))
% 4.67/4.88 [250]~E(x2501,x2502)+E(f24(x2501,x2503),f24(x2502,x2503))
% 4.67/4.88 [251]~E(x2511,x2512)+E(f24(x2513,x2511),f24(x2513,x2512))
% 4.67/4.88 [252]~E(x2521,x2522)+E(f84(x2521,x2523),f84(x2522,x2523))
% 4.67/4.88 [253]~E(x2531,x2532)+E(f84(x2533,x2531),f84(x2533,x2532))
% 4.67/4.88 [254]~E(x2541,x2542)+E(f91(x2541,x2543,x2544,x2545),f91(x2542,x2543,x2544,x2545))
% 4.67/4.88 [255]~E(x2551,x2552)+E(f91(x2553,x2551,x2554,x2555),f91(x2553,x2552,x2554,x2555))
% 4.67/4.88 [256]~E(x2561,x2562)+E(f91(x2563,x2564,x2561,x2565),f91(x2563,x2564,x2562,x2565))
% 4.67/4.88 [257]~E(x2571,x2572)+E(f91(x2573,x2574,x2575,x2571),f91(x2573,x2574,x2575,x2572))
% 4.67/4.88 [258]~E(x2581,x2582)+E(f20(x2581,x2583),f20(x2582,x2583))
% 4.67/4.88 [259]~E(x2591,x2592)+E(f20(x2593,x2591),f20(x2593,x2592))
% 4.67/4.88 [260]~E(x2601,x2602)+E(f30(x2601),f30(x2602))
% 4.67/4.88 [261]~E(x2611,x2612)+E(f25(x2611,x2613),f25(x2612,x2613))
% 4.67/4.88 [262]~E(x2621,x2622)+E(f25(x2623,x2621),f25(x2623,x2622))
% 4.67/4.88 [263]~E(x2631,x2632)+E(f90(x2631,x2633),f90(x2632,x2633))
% 4.67/4.88 [264]~E(x2641,x2642)+E(f90(x2643,x2641),f90(x2643,x2642))
% 4.67/4.88 [265]~E(x2651,x2652)+E(f31(x2651),f31(x2652))
% 4.67/4.88 [266]~E(x2661,x2662)+E(f63(x2661,x2663,x2664),f63(x2662,x2663,x2664))
% 4.67/4.88 [267]~E(x2671,x2672)+E(f63(x2673,x2671,x2674),f63(x2673,x2672,x2674))
% 4.67/4.88 [268]~E(x2681,x2682)+E(f63(x2683,x2684,x2681),f63(x2683,x2684,x2682))
% 4.67/4.88 [269]~E(x2691,x2692)+E(f74(x2691,x2693),f74(x2692,x2693))
% 4.67/4.88 [270]~E(x2701,x2702)+E(f74(x2703,x2701),f74(x2703,x2702))
% 4.67/4.88 [271]~E(x2711,x2712)+E(f17(x2711,x2713),f17(x2712,x2713))
% 4.67/4.88 [272]~E(x2721,x2722)+E(f17(x2723,x2721),f17(x2723,x2722))
% 4.67/4.88 [273]~E(x2731,x2732)+E(f75(x2731,x2733,x2734),f75(x2732,x2733,x2734))
% 4.67/4.88 [274]~E(x2741,x2742)+E(f75(x2743,x2741,x2744),f75(x2743,x2742,x2744))
% 4.67/4.88 [275]~E(x2751,x2752)+E(f75(x2753,x2754,x2751),f75(x2753,x2754,x2752))
% 4.67/4.88 [276]~E(x2761,x2762)+E(f80(x2761,x2763,x2764),f80(x2762,x2763,x2764))
% 4.67/4.88 [277]~E(x2771,x2772)+E(f80(x2773,x2771,x2774),f80(x2773,x2772,x2774))
% 4.67/4.88 [278]~E(x2781,x2782)+E(f80(x2783,x2784,x2781),f80(x2783,x2784,x2782))
% 4.67/4.88 [279]~E(x2791,x2792)+E(f42(x2791,x2793,x2794),f42(x2792,x2793,x2794))
% 4.67/4.88 [280]~E(x2801,x2802)+E(f42(x2803,x2801,x2804),f42(x2803,x2802,x2804))
% 4.67/4.88 [281]~E(x2811,x2812)+E(f42(x2813,x2814,x2811),f42(x2813,x2814,x2812))
% 4.67/4.88 [282]~E(x2821,x2822)+E(f21(x2821,x2823),f21(x2822,x2823))
% 4.67/4.88 [283]~E(x2831,x2832)+E(f21(x2833,x2831),f21(x2833,x2832))
% 4.67/4.88 [284]~E(x2841,x2842)+E(f67(x2841,x2843,x2844),f67(x2842,x2843,x2844))
% 4.67/4.88 [285]~E(x2851,x2852)+E(f67(x2853,x2851,x2854),f67(x2853,x2852,x2854))
% 4.67/4.88 [286]~E(x2861,x2862)+E(f67(x2863,x2864,x2861),f67(x2863,x2864,x2862))
% 4.67/4.88 [287]~E(x2871,x2872)+E(f48(x2871,x2873),f48(x2872,x2873))
% 4.67/4.88 [288]~E(x2881,x2882)+E(f48(x2883,x2881),f48(x2883,x2882))
% 4.67/4.88 [289]~E(x2891,x2892)+E(f78(x2891,x2893,x2894),f78(x2892,x2893,x2894))
% 4.67/4.88 [290]~E(x2901,x2902)+E(f78(x2903,x2901,x2904),f78(x2903,x2902,x2904))
% 4.67/4.88 [291]~E(x2911,x2912)+E(f78(x2913,x2914,x2911),f78(x2913,x2914,x2912))
% 4.67/4.88 [292]~P1(x2921)+P1(x2922)+~E(x2921,x2922)
% 4.67/4.88 [293]P13(x2932,x2933)+~E(x2931,x2932)+~P13(x2931,x2933)
% 4.67/4.88 [294]P13(x2943,x2942)+~E(x2941,x2942)+~P13(x2943,x2941)
% 4.67/4.88 [295]~P19(x2951)+P19(x2952)+~E(x2951,x2952)
% 4.67/4.88 [296]~P8(x2961)+P8(x2962)+~E(x2961,x2962)
% 4.67/4.88 [297]P14(x2972,x2973)+~E(x2971,x2972)+~P14(x2971,x2973)
% 4.67/4.88 [298]P14(x2983,x2982)+~E(x2981,x2982)+~P14(x2983,x2981)
% 4.67/4.88 [299]~P12(x2991)+P12(x2992)+~E(x2991,x2992)
% 4.67/4.88 [300]P15(x3002,x3003)+~E(x3001,x3002)+~P15(x3001,x3003)
% 4.67/4.88 [301]P15(x3013,x3012)+~E(x3011,x3012)+~P15(x3013,x3011)
% 4.67/4.88 [302]P25(x3022,x3023)+~E(x3021,x3022)+~P25(x3021,x3023)
% 4.67/4.88 [303]P25(x3033,x3032)+~E(x3031,x3032)+~P25(x3033,x3031)
% 4.67/4.88 [304]P7(x3042,x3043)+~E(x3041,x3042)+~P7(x3041,x3043)
% 4.67/4.88 [305]P7(x3053,x3052)+~E(x3051,x3052)+~P7(x3053,x3051)
% 4.67/4.88 [306]P16(x3062,x3063)+~E(x3061,x3062)+~P16(x3061,x3063)
% 4.67/4.88 [307]P16(x3073,x3072)+~E(x3071,x3072)+~P16(x3073,x3071)
% 4.67/4.88 [308]~P11(x3081)+P11(x3082)+~E(x3081,x3082)
% 4.67/4.88 [309]~P10(x3091)+P10(x3092)+~E(x3091,x3092)
% 4.67/4.88 [310]~P6(x3101)+P6(x3102)+~E(x3101,x3102)
% 4.67/4.88 [311]P2(x3112,x3113)+~E(x3111,x3112)+~P2(x3111,x3113)
% 4.67/4.88 [312]P2(x3123,x3122)+~E(x3121,x3122)+~P2(x3123,x3121)
% 4.67/4.88 [313]~P26(x3131)+P26(x3132)+~E(x3131,x3132)
% 4.67/4.88 [314]P20(x3142,x3143)+~E(x3141,x3142)+~P20(x3141,x3143)
% 4.67/4.88 [315]P20(x3153,x3152)+~E(x3151,x3152)+~P20(x3153,x3151)
% 4.67/4.88 [316]~P4(x3161)+P4(x3162)+~E(x3161,x3162)
% 4.67/4.88 [317]~P27(x3171)+P27(x3172)+~E(x3171,x3172)
% 4.67/4.88 [318]~P9(x3181)+P9(x3182)+~E(x3181,x3182)
% 4.67/4.88 [319]P18(x3192,x3193)+~E(x3191,x3192)+~P18(x3191,x3193)
% 4.67/4.88 [320]P18(x3203,x3202)+~E(x3201,x3202)+~P18(x3203,x3201)
% 4.67/4.88 [321]P28(x3212,x3213)+~E(x3211,x3212)+~P28(x3211,x3213)
% 4.67/4.88 [322]P28(x3223,x3222)+~E(x3221,x3222)+~P28(x3223,x3221)
% 4.67/4.88 [323]~P22(x3231)+P22(x3232)+~E(x3231,x3232)
% 4.67/4.88 [324]P17(x3242,x3243)+~E(x3241,x3242)+~P17(x3241,x3243)
% 4.67/4.88 [325]P17(x3253,x3252)+~E(x3251,x3252)+~P17(x3253,x3251)
% 4.67/4.88 [326]~P3(x3261)+P3(x3262)+~E(x3261,x3262)
% 4.67/4.88 [327]P21(x3272,x3273)+~E(x3271,x3272)+~P21(x3271,x3273)
% 4.67/4.88 [328]P21(x3283,x3282)+~E(x3281,x3282)+~P21(x3283,x3281)
% 4.67/4.88 [329]~P23(x3291)+P23(x3292)+~E(x3291,x3292)
% 4.67/4.88 [330]P5(x3302,x3303)+~E(x3301,x3302)+~P5(x3301,x3303)
% 4.67/4.88 [331]P5(x3313,x3312)+~E(x3311,x3312)+~P5(x3313,x3311)
% 4.67/4.88 [332]~P24(x3321)+P24(x3322)+~E(x3321,x3322)
% 4.67/4.88
% 4.67/4.88 %-------------------------------------------
% 4.67/4.89 cnf(977,plain,
% 4.67/4.89 (E(a1,f5(a1))),
% 4.67/4.89 inference(scs_inference,[],[333,2])).
% 4.67/4.89 cnf(978,plain,
% 4.67/4.89 (~P13(f11(x9781),x9781)),
% 4.67/4.89 inference(scs_inference,[],[333,395,2,571])).
% 4.67/4.89 cnf(980,plain,
% 4.67/4.89 (~P13(x9801,a1)),
% 4.67/4.89 inference(scs_inference,[],[338,333,395,2,571,488])).
% 4.67/4.89 cnf(984,plain,
% 4.67/4.89 (~P13(x9841,f5(a1))),
% 4.67/4.89 inference(scs_inference,[],[338,333,395,2,571,488,481,479])).
% 4.67/4.89 cnf(989,plain,
% 4.67/4.89 (P25(x9891,x9891)),
% 4.67/4.89 inference(rename_variables,[],[393])).
% 4.67/4.89 cnf(992,plain,
% 4.67/4.89 (P25(x9921,x9921)),
% 4.67/4.89 inference(rename_variables,[],[393])).
% 4.67/4.89 cnf(995,plain,
% 4.67/4.89 (P2(f34(x9951),x9951)),
% 4.67/4.89 inference(rename_variables,[],[398])).
% 4.67/4.89 cnf(997,plain,
% 4.67/4.89 (P19(f5(a1))),
% 4.67/4.89 inference(scs_inference,[],[393,989,338,333,395,398,415,2,571,488,481,479,466,674,673,583,478])).
% 4.67/4.89 cnf(1008,plain,
% 4.67/4.89 (P2(x10081,f133(x10081))),
% 4.67/4.89 inference(rename_variables,[],[397])).
% 4.67/4.89 cnf(1011,plain,
% 4.67/4.89 (P2(x10111,f133(x10111))),
% 4.67/4.89 inference(rename_variables,[],[397])).
% 4.67/4.89 cnf(1013,plain,
% 4.67/4.89 (E(f134(x10131,f133(x10131)),f147(f133(x10131)))),
% 4.67/4.89 inference(scs_inference,[],[393,989,338,333,395,397,1008,1011,398,391,415,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659])).
% 4.67/4.89 cnf(1014,plain,
% 4.67/4.89 (P2(x10141,f133(x10141))),
% 4.67/4.89 inference(rename_variables,[],[397])).
% 4.67/4.89 cnf(1017,plain,
% 4.67/4.89 (P2(x10171,f133(x10171))),
% 4.67/4.89 inference(rename_variables,[],[397])).
% 4.67/4.89 cnf(1021,plain,
% 4.67/4.89 (E(f146(x10211,x10211),x10211)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1024,plain,
% 4.67/4.89 (P2(f34(x10241),x10241)),
% 4.67/4.89 inference(rename_variables,[],[398])).
% 4.67/4.89 cnf(1026,plain,
% 4.67/4.89 (P2(x10261,f133(x10261))),
% 4.67/4.89 inference(rename_variables,[],[397])).
% 4.67/4.89 cnf(1028,plain,
% 4.67/4.89 (P11(f5(a1))),
% 4.67/4.89 inference(scs_inference,[],[393,989,338,349,353,357,378,333,417,394,395,397,1008,1011,1014,1017,398,995,391,415,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308])).
% 4.67/4.89 cnf(1032,plain,
% 4.67/4.89 (P25(x10321,f146(x10321,x10322))),
% 4.67/4.89 inference(rename_variables,[],[403])).
% 4.67/4.89 cnf(1033,plain,
% 4.67/4.89 (~E(a1,f150(x10331,x10331))),
% 4.67/4.89 inference(scs_inference,[],[393,989,992,338,349,353,357,378,333,417,394,395,397,1008,1011,1014,1017,398,995,403,391,415,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302])).
% 4.67/4.89 cnf(1034,plain,
% 4.67/4.89 (P25(x10341,x10341)),
% 4.67/4.89 inference(rename_variables,[],[393])).
% 4.67/4.89 cnf(1038,plain,
% 4.67/4.89 (P13(x10381,f11(x10381))),
% 4.67/4.89 inference(rename_variables,[],[395])).
% 4.67/4.89 cnf(1039,plain,
% 4.67/4.89 (P13(a1,f11(f5(a1)))),
% 4.67/4.89 inference(scs_inference,[],[393,989,992,338,343,349,353,357,373,378,333,417,394,395,1038,397,1008,1011,1014,1017,398,995,403,391,415,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293])).
% 4.67/4.89 cnf(1040,plain,
% 4.67/4.89 (P13(x10401,f11(x10401))),
% 4.67/4.89 inference(rename_variables,[],[395])).
% 4.67/4.89 cnf(1042,plain,
% 4.67/4.89 (E(f146(x10421,x10421),x10421)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1045,plain,
% 4.67/4.89 (P13(x10451,f11(x10451))),
% 4.67/4.89 inference(rename_variables,[],[395])).
% 4.67/4.89 cnf(1047,plain,
% 4.67/4.89 (P7(f144(a1,x10471),x10472)),
% 4.67/4.89 inference(scs_inference,[],[393,989,992,338,343,349,353,357,373,378,411,333,417,394,1021,395,1038,1040,396,397,1008,1011,1014,1017,398,995,403,404,391,415,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614])).
% 4.67/4.89 cnf(1048,plain,
% 4.67/4.89 (P25(f144(x10481,x10482),x10481)),
% 4.67/4.89 inference(rename_variables,[],[404])).
% 4.67/4.89 cnf(1051,plain,
% 4.67/4.89 (P25(a1,x10511)),
% 4.67/4.89 inference(rename_variables,[],[389])).
% 4.67/4.89 cnf(1053,plain,
% 4.67/4.89 (~P2(f11(f18(a125)),a125)),
% 4.67/4.89 inference(scs_inference,[],[393,989,992,389,338,343,349,353,357,373,378,411,333,417,394,1021,395,1038,1040,396,397,1008,1011,1014,1017,398,995,403,404,391,415,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528])).
% 4.67/4.89 cnf(1056,plain,
% 4.67/4.89 (P25(a1,x10561)),
% 4.67/4.89 inference(rename_variables,[],[389])).
% 4.67/4.89 cnf(1058,plain,
% 4.67/4.89 (~P2(a125,a1)),
% 4.67/4.89 inference(scs_inference,[],[393,989,992,389,1051,338,343,349,353,357,373,378,411,333,417,394,1021,395,1038,1040,396,397,1008,1011,1014,1017,398,995,403,404,391,415,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496])).
% 4.67/4.89 cnf(1073,plain,
% 4.67/4.89 (E(f146(x10731,x10731),x10731)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1076,plain,
% 4.67/4.89 (E(f146(x10761,x10761),x10761)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1079,plain,
% 4.67/4.89 (E(f146(x10791,x10791),x10791)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1082,plain,
% 4.67/4.89 (E(f146(x10821,a1),x10821)),
% 4.67/4.89 inference(rename_variables,[],[390])).
% 4.67/4.89 cnf(1089,plain,
% 4.67/4.89 (E(f146(x10891,x10891),x10891)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1091,plain,
% 4.67/4.89 (~P13(x10911,f134(a1,f133(a1)))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,389,1051,376,338,343,349,353,357,373,378,411,333,417,394,1021,1042,1073,1076,1079,395,1038,1040,1045,396,397,1008,1011,1014,1017,398,995,1024,403,404,390,391,415,399,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634])).
% 4.67/4.89 cnf(1094,plain,
% 4.67/4.89 (E(f146(x10941,x10941),x10941)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1097,plain,
% 4.67/4.89 (E(f146(x10971,x10971),x10971)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1100,plain,
% 4.67/4.89 (E(f146(x11001,x11001),x11001)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1103,plain,
% 4.67/4.89 (E(f146(x11031,x11031),x11031)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1106,plain,
% 4.67/4.89 (E(f146(x11061,x11061),x11061)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1109,plain,
% 4.67/4.89 (E(f146(x11091,x11091),x11091)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1112,plain,
% 4.67/4.89 (E(f146(x11121,x11121),x11121)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1117,plain,
% 4.67/4.89 (E(f146(x11171,a1),x11171)),
% 4.67/4.89 inference(rename_variables,[],[390])).
% 4.67/4.89 cnf(1121,plain,
% 4.67/4.89 (P19(f129(x11211))),
% 4.67/4.89 inference(rename_variables,[],[384])).
% 4.67/4.89 cnf(1123,plain,
% 4.67/4.89 (P17(a10,f134(a1,f133(a1)))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,376,338,343,349,353,357,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,395,1038,1040,1045,396,397,1008,1011,1014,1017,398,995,1024,403,404,390,1082,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632])).
% 4.67/4.89 cnf(1125,plain,
% 4.67/4.89 (~P13(x11251,f148(f11(x11251),f11(x11251)))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,376,338,343,349,353,357,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,395,1038,1040,1045,396,397,1008,1011,1014,1017,1026,398,995,1024,403,404,390,1082,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755])).
% 4.67/4.89 cnf(1127,plain,
% 4.67/4.89 (P21(a1,a1)),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,376,338,343,349,353,357,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,395,1038,1040,1045,396,397,1008,1011,1014,1017,1026,398,995,1024,403,404,390,1082,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592])).
% 4.67/4.89 cnf(1134,plain,
% 4.67/4.89 (E(f146(x11341,a1),x11341)),
% 4.67/4.89 inference(rename_variables,[],[390])).
% 4.67/4.89 cnf(1137,plain,
% 4.67/4.89 (E(f146(x11371,a1),x11371)),
% 4.67/4.89 inference(rename_variables,[],[390])).
% 4.67/4.89 cnf(1138,plain,
% 4.67/4.89 (P13(x11381,f11(x11381))),
% 4.67/4.89 inference(rename_variables,[],[395])).
% 4.67/4.89 cnf(1141,plain,
% 4.67/4.89 (E(f146(x11411,x11411),x11411)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1147,plain,
% 4.67/4.89 (E(f146(x11471,a1),x11471)),
% 4.67/4.89 inference(rename_variables,[],[390])).
% 4.67/4.89 cnf(1150,plain,
% 4.67/4.89 (E(f146(x11501,a1),x11501)),
% 4.67/4.89 inference(rename_variables,[],[390])).
% 4.67/4.89 cnf(1153,plain,
% 4.67/4.89 (E(f146(x11531,x11531),x11531)),
% 4.67/4.89 inference(rename_variables,[],[394])).
% 4.67/4.89 cnf(1163,plain,
% 4.67/4.89 (P7(x11631,f144(a1,x11632))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513])).
% 4.67/4.89 cnf(1177,plain,
% 4.67/4.89 (P8(a6)),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424])).
% 4.67/4.89 cnf(1183,plain,
% 4.67/4.89 (P25(f136(f145(x11831,a10)),x11831)),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681])).
% 4.67/4.89 cnf(1199,plain,
% 4.67/4.89 (P19(f137(a10,x11991))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516])).
% 4.67/4.89 cnf(1432,plain,
% 4.67/4.89 (E(f137(x14321,f5(a1)),f137(x14321,a1))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88])).
% 4.67/4.89 cnf(1500,plain,
% 4.67/4.89 (E(f142(f5(a1),x15001),f142(a1,x15001))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20])).
% 4.67/4.89 cnf(1531,plain,
% 4.67/4.89 (~P7(f150(x15311,x15311),f11(x15311))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698])).
% 4.67/4.89 cnf(1589,plain,
% 4.67/4.89 (P9(f146(a1,f150(a1,a1)))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708])).
% 4.67/4.89 cnf(1591,plain,
% 4.67/4.89 (P11(f146(a1,f150(a1,a1)))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707])).
% 4.67/4.89 cnf(1593,plain,
% 4.67/4.89 (~E(f144(f11(x15931),f150(x15931,x15931)),f11(x15931))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701])).
% 4.67/4.89 cnf(1595,plain,
% 4.67/4.89 (~E(f144(f150(x15951,x15951),f144(f150(x15951,x15951),f11(x15951))),a1)),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672])).
% 4.67/4.89 cnf(1605,plain,
% 4.67/4.89 (P2(f144(a1,f144(a1,x16051)),f133(x16052))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618])).
% 4.67/4.89 cnf(1607,plain,
% 4.67/4.89 (P13(f133(x16071),f11(x16071))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608])).
% 4.67/4.89 cnf(1625,plain,
% 4.67/4.89 (~P25(f150(f150(x16251,x16251),f150(x16251,x16251)),f150(a1,a1))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732])).
% 4.67/4.89 cnf(1629,plain,
% 4.67/4.89 (P2(f148(a125,f34(f133(a125))),f133(a125))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679])).
% 4.67/4.89 cnf(1632,plain,
% 4.67/4.89 (P13(x16321,f18(x16321))),
% 4.67/4.89 inference(rename_variables,[],[396])).
% 4.67/4.89 cnf(1644,plain,
% 4.67/4.89 (~P13(x16441,f144(a1,x16442))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652])).
% 4.67/4.89 cnf(1669,plain,
% 4.67/4.89 (P25(f144(x16691,x16692),x16691)),
% 4.67/4.89 inference(rename_variables,[],[404])).
% 4.67/4.89 cnf(1672,plain,
% 4.67/4.89 (P25(f144(x16721,x16722),x16721)),
% 4.67/4.89 inference(rename_variables,[],[404])).
% 4.67/4.89 cnf(1678,plain,
% 4.67/4.89 (P22(f137(a10,x16781))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569])).
% 4.67/4.89 cnf(1680,plain,
% 4.67/4.89 (P26(f137(a10,x16801))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568])).
% 4.67/4.89 cnf(1682,plain,
% 4.67/4.89 (P27(f137(a10,x16821))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567])).
% 4.67/4.89 cnf(1684,plain,
% 4.67/4.89 (P6(f137(a10,x16841))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566])).
% 4.67/4.89 cnf(1686,plain,
% 4.67/4.89 (P4(f137(a10,x16861))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566,565])).
% 4.67/4.89 cnf(1724,plain,
% 4.67/4.89 (P19(f130(a1))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,368,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566,565,564,563,562,561,557,556,555,554,553,544,503,502,501,500,499,498,484,483,473])).
% 4.67/4.89 cnf(1734,plain,
% 4.67/4.89 (~P13(x17341,f24(x17341,f11(x17341)))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,368,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,1672,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566,565,564,563,562,561,557,556,555,554,553,544,503,502,501,500,499,498,484,483,473,472,847,779,763,737])).
% 4.67/4.89 cnf(1742,plain,
% 4.67/4.89 (P16(a10,f144(a1,x17421))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,368,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,1672,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566,565,564,563,562,561,557,556,555,554,553,544,503,502,501,500,499,498,484,483,473,472,847,779,763,737,721,715,714,631])).
% 4.67/4.89 cnf(1748,plain,
% 4.67/4.89 (P25(f139(a1,f142(a1,x17481)),x17481)),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,368,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,1672,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566,565,564,563,562,561,557,556,555,554,553,544,503,502,501,500,499,498,484,483,473,472,847,779,763,737,721,715,714,631,782,743,733])).
% 4.67/4.89 cnf(1751,plain,
% 4.67/4.89 (P13(x17511,f18(x17511))),
% 4.67/4.89 inference(rename_variables,[],[396])).
% 4.67/4.89 cnf(1752,plain,
% 4.67/4.89 (P25(x17521,x17521)),
% 4.67/4.89 inference(rename_variables,[],[393])).
% 4.67/4.89 cnf(1757,plain,
% 4.67/4.89 (~E(f150(x17571,x17571),a1)),
% 4.67/4.89 inference(rename_variables,[],[415])).
% 4.67/4.89 cnf(1776,plain,
% 4.67/4.89 (P12(f130(a1))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,1752,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,368,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,1751,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,1672,390,1082,1117,1134,1137,1147,1150,391,415,384,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566,565,564,563,562,561,557,556,555,554,553,544,503,502,501,500,499,498,484,483,473,472,847,779,763,737,721,715,714,631,782,743,733,717,648,588,881,830,764,817,769,653,641,640,494])).
% 4.67/4.89 cnf(1780,plain,
% 4.67/4.89 (~P13(f150(f150(f150(x17801,x17801),a1),f150(f150(x17801,x17801),f150(x17801,x17801))),f129(f5(a1)))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,1752,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,368,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,1751,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,1672,390,1082,1117,1134,1137,1147,1150,391,415,1757,384,1121,399,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566,565,564,563,562,561,557,556,555,554,553,544,503,502,501,500,499,498,484,483,473,472,847,779,763,737,721,715,714,631,782,743,733,717,648,588,881,830,764,817,769,653,641,640,494,492,835])).
% 4.67/4.89 cnf(1781,plain,
% 4.67/4.89 (P19(f129(x17811))),
% 4.67/4.89 inference(rename_variables,[],[384])).
% 4.67/4.89 cnf(1794,plain,
% 4.67/4.89 (E(f130(a1),f138(a1))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,1752,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,368,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,1751,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,1672,390,1082,1117,1134,1137,1147,1150,391,415,1757,382,384,1121,1781,399,409,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566,565,564,563,562,561,557,556,555,554,553,544,503,502,501,500,499,498,484,483,473,472,847,779,763,737,721,715,714,631,782,743,733,717,648,588,881,830,764,817,769,653,641,640,494,492,835,482,762,505,504,487])).
% 4.67/4.89 cnf(1798,plain,
% 4.67/4.89 (E(f5(a1),f2(a1,f39(f5(a1))))),
% 4.67/4.89 inference(scs_inference,[],[372,393,989,992,1034,1752,416,389,1051,1056,376,338,339,340,341,343,345,349,350,351,353,357,363,366,368,373,378,411,333,417,394,1021,1042,1073,1076,1079,1089,1094,1097,1100,1103,1106,1109,1112,1141,1153,395,1038,1040,1045,1138,396,1632,1751,397,1008,1011,1014,1017,1026,398,995,1024,403,1032,404,1048,1669,1672,390,1082,1117,1134,1137,1147,1150,391,415,1757,382,384,1121,1781,399,409,387,402,2,571,488,481,479,466,674,673,583,478,467,604,520,510,723,722,659,658,332,329,318,312,311,309,308,305,304,303,302,299,296,294,293,292,3,651,614,587,528,525,496,462,461,460,459,458,438,731,730,729,726,657,656,655,634,621,620,619,575,574,531,530,433,589,437,632,755,592,538,480,670,669,607,590,758,753,813,684,615,573,513,512,451,432,429,426,425,424,422,534,681,680,595,594,585,584,537,536,516,515,514,463,452,449,448,447,446,445,444,443,442,441,440,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,870,824,759,706,705,704,700,698,693,692,691,690,663,638,636,623,622,603,602,601,599,598,539,526,519,518,508,489,465,464,581,802,745,719,718,709,708,707,701,672,645,643,642,635,618,608,605,582,517,490,872,818,792,738,732,713,679,678,664,767,616,825,323,315,652,613,612,486,485,423,775,774,773,695,694,689,668,667,606,570,569,568,567,566,565,564,563,562,561,557,556,555,554,553,544,503,502,501,500,499,498,484,483,473,472,847,779,763,737,721,715,714,631,782,743,733,717,648,588,881,830,764,817,769,653,641,640,494,492,835,482,762,505,504,487,609,596])).
% 4.67/4.89 cnf(1817,plain,
% 4.67/4.89 (P21(x18171,x18171)+~P11(x18171)),
% 4.67/4.89 inference(scs_inference,[],[352,485])).
% 4.67/4.89 cnf(1821,plain,
% 4.67/4.89 (~P13(x18211,a1)),
% 4.67/4.89 inference(rename_variables,[],[980])).
% 4.67/4.89 cnf(1824,plain,
% 4.67/4.89 (~P13(f11(x18241),x18241)),
% 4.67/4.89 inference(rename_variables,[],[978])).
% 4.67/4.89 cnf(1827,plain,
% 4.67/4.89 (~P13(f11(x18271),x18271)),
% 4.67/4.89 inference(rename_variables,[],[978])).
% 4.67/4.89 cnf(1830,plain,
% 4.67/4.89 (~P13(f11(x18301),x18301)),
% 4.67/4.89 inference(rename_variables,[],[978])).
% 4.67/4.89 cnf(1833,plain,
% 4.67/4.89 (~P13(f11(x18331),x18331)),
% 4.67/4.89 inference(rename_variables,[],[978])).
% 4.67/4.89 cnf(1838,plain,
% 4.67/4.89 (P25(f144(x18381,x18382),x18381)),
% 4.67/4.89 inference(rename_variables,[],[404])).
% 4.67/4.89 cnf(1841,plain,
% 4.67/4.89 (~P13(x18411,f144(a1,x18412))),
% 4.67/4.89 inference(rename_variables,[],[1644])).
% 4.67/4.89 cnf(1844,plain,
% 4.67/4.89 (~P13(x18441,f144(a1,x18442))),
% 4.67/4.89 inference(rename_variables,[],[1644])).
% 4.67/4.89 cnf(1847,plain,
% 4.67/4.89 (~P13(x18471,f144(a1,x18472))),
% 4.67/4.89 inference(rename_variables,[],[1644])).
% 4.67/4.89 cnf(1850,plain,
% 4.67/4.89 (~P13(x18501,f144(a1,x18502))),
% 4.67/4.89 inference(rename_variables,[],[1644])).
% 4.67/4.89 cnf(1853,plain,
% 4.67/4.89 (~P13(x18531,f144(a1,x18532))),
% 4.67/4.89 inference(rename_variables,[],[1644])).
% 4.67/4.89 cnf(1856,plain,
% 4.67/4.89 (~P13(x18561,a1)),
% 4.67/4.89 inference(rename_variables,[],[980])).
% 4.67/4.89 cnf(1859,plain,
% 4.67/4.89 (~P13(x18591,f5(a1))),
% 4.67/4.89 inference(rename_variables,[],[984])).
% 4.67/4.89 cnf(1862,plain,
% 4.67/4.89 (~P13(x18621,a1)),
% 4.67/4.89 inference(rename_variables,[],[980])).
% 4.67/4.89 cnf(1865,plain,
% 4.67/4.89 (~P13(x18651,f5(a1))),
% 4.67/4.89 inference(rename_variables,[],[984])).
% 4.67/4.89 cnf(1868,plain,
% 4.67/4.89 (~P13(x18681,a1)),
% 4.67/4.89 inference(rename_variables,[],[980])).
% 4.67/4.89 cnf(1871,plain,
% 4.67/4.89 (~P13(x18711,f5(a1))),
% 4.67/4.89 inference(rename_variables,[],[984])).
% 4.67/4.89 cnf(1874,plain,
% 4.67/4.89 (~P13(x18741,a1)),
% 4.67/4.89 inference(rename_variables,[],[980])).
% 4.67/4.89 cnf(1879,plain,
% 4.67/4.89 (~P13(x18791,f144(a1,x18792))),
% 4.67/4.89 inference(rename_variables,[],[1644])).
% 4.67/4.89 cnf(1880,plain,
% 4.67/4.89 (~P13(x18801,f134(a1,f133(a1)))),
% 4.67/4.89 inference(rename_variables,[],[1091])).
% 4.67/4.89 cnf(1883,plain,
% 4.67/4.89 (~P13(x18831,a1)),
% 4.67/4.89 inference(rename_variables,[],[980])).
% 4.67/4.89 cnf(1888,plain,
% 4.67/4.89 (~P13(x18881,f144(a1,x18882))),
% 4.67/4.89 inference(rename_variables,[],[1644])).
% 4.67/4.89 cnf(1889,plain,
% 4.67/4.89 (~P13(x18891,f144(a1,x18892))),
% 4.67/4.89 inference(rename_variables,[],[1644])).
% 4.67/4.89 cnf(1892,plain,
% 4.67/4.90 (~P13(x18921,f144(a1,x18922))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1893,plain,
% 4.67/4.90 (~P13(x18931,f144(a1,x18932))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1896,plain,
% 4.67/4.90 (~P13(x18961,f144(a1,x18962))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1897,plain,
% 4.67/4.90 (~P13(x18971,f144(a1,x18972))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1901,plain,
% 4.67/4.90 (~P13(x19011,f144(a1,x19012))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1904,plain,
% 4.67/4.90 (~P13(x19041,f144(a1,x19042))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1905,plain,
% 4.67/4.90 (~P13(x19051,f144(a1,x19052))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1908,plain,
% 4.67/4.90 (~P13(x19081,f5(a1))),
% 4.67/4.90 inference(rename_variables,[],[984])).
% 4.67/4.90 cnf(1913,plain,
% 4.67/4.90 (~P13(x19131,a1)),
% 4.67/4.90 inference(rename_variables,[],[980])).
% 4.67/4.90 cnf(1917,plain,
% 4.67/4.90 (P13(x19171,f146(x19171,f150(x19171,x19171)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(1922,plain,
% 4.67/4.90 (P25(x19221,x19221)),
% 4.67/4.90 inference(rename_variables,[],[393])).
% 4.67/4.90 cnf(1923,plain,
% 4.67/4.90 (P2(f34(x19231),x19231)),
% 4.67/4.90 inference(rename_variables,[],[398])).
% 4.67/4.90 cnf(1926,plain,
% 4.67/4.90 (P2(f34(x19261),x19261)),
% 4.67/4.90 inference(rename_variables,[],[398])).
% 4.67/4.90 cnf(1928,plain,
% 4.67/4.90 (P2(x19281,f133(x19281))),
% 4.67/4.90 inference(rename_variables,[],[397])).
% 4.67/4.90 cnf(1931,plain,
% 4.67/4.90 (~P13(x19311,f144(a1,x19312))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1934,plain,
% 4.67/4.90 (~P13(x19341,f144(a1,x19342))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1937,plain,
% 4.67/4.90 (~P13(x19371,a1)),
% 4.67/4.90 inference(rename_variables,[],[980])).
% 4.67/4.90 cnf(1940,plain,
% 4.67/4.90 (~P13(x19401,a1)),
% 4.67/4.90 inference(rename_variables,[],[980])).
% 4.67/4.90 cnf(1943,plain,
% 4.67/4.90 (P25(x19431,x19431)),
% 4.67/4.90 inference(rename_variables,[],[393])).
% 4.67/4.90 cnf(1946,plain,
% 4.67/4.90 (~P13(x19461,a1)),
% 4.67/4.90 inference(rename_variables,[],[980])).
% 4.67/4.90 cnf(1949,plain,
% 4.67/4.90 (~P13(x19491,a1)),
% 4.67/4.90 inference(rename_variables,[],[980])).
% 4.67/4.90 cnf(1952,plain,
% 4.67/4.90 (~P13(x19521,f144(a1,x19522))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1953,plain,
% 4.67/4.90 (~P13(x19531,f144(a1,x19532))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1956,plain,
% 4.67/4.90 (~P13(x19561,f144(a1,x19562))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1961,plain,
% 4.67/4.90 (~P13(x19611,f144(a1,x19612))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1962,plain,
% 4.67/4.90 (~P13(x19621,f144(a1,x19622))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1969,plain,
% 4.67/4.90 (P26(f137(a10,x19691))),
% 4.67/4.90 inference(rename_variables,[],[1680])).
% 4.67/4.90 cnf(1972,plain,
% 4.67/4.90 (~P13(x19721,f144(a1,x19722))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1975,plain,
% 4.67/4.90 (~P13(x19751,f5(a1))),
% 4.67/4.90 inference(rename_variables,[],[984])).
% 4.67/4.90 cnf(1978,plain,
% 4.67/4.90 (~P13(x19781,f144(a1,x19782))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(1984,plain,
% 4.67/4.90 (~P13(x19841,f5(a1))),
% 4.67/4.90 inference(rename_variables,[],[984])).
% 4.67/4.90 cnf(1992,plain,
% 4.67/4.90 (P13(x19921,f146(x19921,f150(x19921,x19921)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(1995,plain,
% 4.67/4.90 (P25(f144(x19951,x19952),x19951)),
% 4.67/4.90 inference(rename_variables,[],[404])).
% 4.67/4.90 cnf(1998,plain,
% 4.67/4.90 (~P13(x19981,f148(f11(x19981),f11(x19981)))),
% 4.67/4.90 inference(rename_variables,[],[1125])).
% 4.67/4.90 cnf(2001,plain,
% 4.67/4.90 (~P13(x20011,f148(f11(x20011),f11(x20011)))),
% 4.67/4.90 inference(rename_variables,[],[1125])).
% 4.67/4.90 cnf(2004,plain,
% 4.67/4.90 (P13(x20041,f146(x20041,f150(x20041,x20041)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(2011,plain,
% 4.67/4.90 (~P13(f11(x20111),x20111)),
% 4.67/4.90 inference(rename_variables,[],[978])).
% 4.67/4.90 cnf(2020,plain,
% 4.67/4.90 (P19(f137(a10,x20201))),
% 4.67/4.90 inference(rename_variables,[],[1199])).
% 4.67/4.90 cnf(2023,plain,
% 4.67/4.90 (P19(f137(a10,x20231))),
% 4.67/4.90 inference(rename_variables,[],[1199])).
% 4.67/4.90 cnf(2026,plain,
% 4.67/4.90 (P19(f137(a10,x20261))),
% 4.67/4.90 inference(rename_variables,[],[1199])).
% 4.67/4.90 cnf(2037,plain,
% 4.67/4.90 (P19(f137(a10,x20371))),
% 4.67/4.90 inference(rename_variables,[],[1199])).
% 4.67/4.90 cnf(2042,plain,
% 4.67/4.90 (~P13(f11(x20421),x20421)),
% 4.67/4.90 inference(rename_variables,[],[978])).
% 4.67/4.90 cnf(2047,plain,
% 4.67/4.90 (P25(x20471,f146(x20471,x20472))),
% 4.67/4.90 inference(rename_variables,[],[403])).
% 4.67/4.90 cnf(2056,plain,
% 4.67/4.90 (~P13(x20561,f144(a1,x20562))),
% 4.67/4.90 inference(rename_variables,[],[1644])).
% 4.67/4.90 cnf(2067,plain,
% 4.67/4.90 (P25(x20671,x20671)),
% 4.67/4.90 inference(rename_variables,[],[393])).
% 4.67/4.90 cnf(2070,plain,
% 4.67/4.90 (~P13(x20701,f24(x20701,f11(x20701)))),
% 4.67/4.90 inference(rename_variables,[],[1734])).
% 4.67/4.90 cnf(2085,plain,
% 4.67/4.90 (P13(x20851,f146(x20851,f150(x20851,x20851)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(2097,plain,
% 4.67/4.90 (~P13(x20971,f24(x20971,f11(x20971)))),
% 4.67/4.90 inference(rename_variables,[],[1734])).
% 4.67/4.90 cnf(2113,plain,
% 4.67/4.90 (P13(x21131,f11(x21131))),
% 4.67/4.90 inference(rename_variables,[],[395])).
% 4.67/4.90 cnf(2120,plain,
% 4.67/4.90 (~P13(x21201,f148(f11(x21201),f11(x21201)))),
% 4.67/4.90 inference(rename_variables,[],[1125])).
% 4.67/4.90 cnf(2125,plain,
% 4.67/4.90 (~P13(x21251,f134(a1,f133(a1)))),
% 4.67/4.90 inference(rename_variables,[],[1091])).
% 4.67/4.90 cnf(2143,plain,
% 4.67/4.90 (E(f143(f133(x21431)),x21431)),
% 4.67/4.90 inference(rename_variables,[],[386])).
% 4.67/4.90 cnf(2145,plain,
% 4.67/4.90 (~P13(x21451,f148(f11(x21451),f11(x21451)))),
% 4.67/4.90 inference(rename_variables,[],[1125])).
% 4.67/4.90 cnf(2148,plain,
% 4.67/4.90 (~P13(f11(x21481),x21481)),
% 4.67/4.90 inference(rename_variables,[],[978])).
% 4.67/4.90 cnf(2153,plain,
% 4.67/4.90 (~P13(x21531,f148(f11(x21531),f11(x21531)))),
% 4.67/4.90 inference(rename_variables,[],[1125])).
% 4.67/4.90 cnf(2156,plain,
% 4.67/4.90 (P13(x21561,f146(x21561,f150(x21561,x21561)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(2161,plain,
% 4.67/4.90 (P13(x21611,f146(x21611,f150(x21611,x21611)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(2164,plain,
% 4.67/4.90 (P13(x21641,f146(x21641,f150(x21641,x21641)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(2167,plain,
% 4.67/4.90 (P13(x21671,f146(x21671,f150(x21671,x21671)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(2170,plain,
% 4.67/4.90 (P13(x21701,f11(x21701))),
% 4.67/4.90 inference(rename_variables,[],[395])).
% 4.67/4.90 cnf(2173,plain,
% 4.67/4.90 (~P13(x21731,f148(f11(x21731),f11(x21731)))),
% 4.67/4.90 inference(rename_variables,[],[1125])).
% 4.67/4.90 cnf(2176,plain,
% 4.67/4.90 (~P13(x21761,f148(f11(x21761),f11(x21761)))),
% 4.67/4.90 inference(rename_variables,[],[1125])).
% 4.67/4.90 cnf(2179,plain,
% 4.67/4.90 (E(f143(f133(x21791)),x21791)),
% 4.67/4.90 inference(rename_variables,[],[386])).
% 4.67/4.90 cnf(2194,plain,
% 4.67/4.90 (P19(f137(a10,x21941))),
% 4.67/4.90 inference(rename_variables,[],[1199])).
% 4.67/4.90 cnf(2197,plain,
% 4.67/4.90 (P19(f137(a10,x21971))),
% 4.67/4.90 inference(rename_variables,[],[1199])).
% 4.67/4.90 cnf(2202,plain,
% 4.67/4.90 (~P13(f11(x22021),x22021)),
% 4.67/4.90 inference(rename_variables,[],[978])).
% 4.67/4.90 cnf(2213,plain,
% 4.67/4.90 (P13(x22131,f146(x22131,f150(x22131,x22131)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(2224,plain,
% 4.67/4.90 (P13(x22241,f146(x22241,f150(x22241,x22241)))),
% 4.67/4.90 inference(rename_variables,[],[409])).
% 4.67/4.90 cnf(2229,plain,
% 4.67/4.90 (~P13(f11(x22291),x22291)),
% 4.67/4.90 inference(rename_variables,[],[978])).
% 4.67/4.90 cnf(2265,plain,
% 4.67/4.90 (~P6(f137(a10,a12))),
% 4.67/4.90 inference(scs_inference,[],[372,342,344,346,352,354,374,379,412,388,401,405,385,386,2143,2179,364,367,370,365,393,1922,1943,2067,389,397,1928,398,1923,1926,403,2047,404,1838,1995,384,409,1917,1992,2004,2085,2156,2161,2164,2167,2213,2224,395,2113,2170,396,416,417,339,349,343,415,363,1593,1013,1125,1998,2001,2120,2145,2153,2173,2176,1531,1734,2070,2097,978,1824,1827,1830,1833,2011,2042,2148,2202,2229,1607,1625,1127,1183,1591,1047,1163,1644,1841,1844,1847,1850,1853,1879,1889,1892,1896,1901,1905,1931,1934,1952,1956,1962,1972,1978,2056,1961,1904,1953,1888,1893,1897,1589,1780,1748,1605,1432,1500,1091,1880,2125,984,1859,1865,1871,1908,1975,1984,1199,2020,2023,2026,2037,2194,2197,1678,1680,1969,1682,1684,1686,1798,1629,1595,980,1821,1856,1862,1868,1874,1883,1913,1937,1940,1946,1949,997,1028,1033,1724,1776,1794,1123,1039,1053,1742,977,1058,1177,1817,495,845,784,783,741,720,683,794,916,915,816,815,843,842,841,840,685,820,934,906,697,661,955,854,853,852,874,873,591,699,806,822,712,787,760,918,917,928,963,702,954,974,859,858,890,897,703,919,866,911,811,677,295,571,651,525,731,729,621,574,775,689,668,667,570,569,568,566,565,556,554,553,499,472,847,779,763,737,715,714,632,743,733,717,648,764,758,494,422,583,604,423,694,589,500,473,538,480,670,669,508,587,614,513,488,479,466,674,673,467,603,602,328,325,318,312,311,307,306,300,299,294,612,528,496,730,726,657,655,620,619,575,531,530,433,774,773,695,606,567,555,502,501,498,782,881,817,769,592,607,492,505,504,487,753,609,684,615,800,638,520,510,315,304,486,634,564,563,562,561,557,721,590,586])).
% 4.67/4.90 cnf(2487,plain,
% 4.67/4.90 ($false),
% 4.67/4.90 inference(scs_inference,[],[2265,1684]),
% 4.67/4.90 ['proof']).
% 4.67/4.90 % SZS output end Proof
% 4.67/4.90 % Total time :3.910000s
%------------------------------------------------------------------------------