TSTP Solution File: SEU248+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU248+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 : n023.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 16:18:43 EDT 2023
% Result : Theorem 4.73s 4.88s
% Output : CNFRefutation 4.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU248+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 18:23:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 4.73/4.84 %-------------------------------------------
% 4.73/4.84 % File :CSE---1.6
% 4.73/4.84 % Problem :theBenchmark
% 4.73/4.84 % Transform :cnf
% 4.73/4.84 % Format :tptp:raw
% 4.73/4.84 % Command :java -jar mcs_scs.jar %d %s
% 4.73/4.84
% 4.73/4.84 % Result :Theorem 3.910000s
% 4.73/4.84 % Output :CNFRefutation 3.910000s
% 4.73/4.84 %-------------------------------------------
% 4.73/4.85 %------------------------------------------------------------------------------
% 4.73/4.85 % File : SEU248+2 : TPTP v8.1.2. Released v3.3.0.
% 4.73/4.85 % Domain : Set theory
% 4.73/4.85 % Problem : MPTP chainy problem l29_wellord1
% 4.73/4.85 % Version : [Urb07] axioms : Especial.
% 4.73/4.85 % English :
% 4.73/4.85
% 4.73/4.85 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 4.73/4.85 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 4.73/4.85 % Source : [Urb07]
% 4.73/4.85 % Names : chainy-l29_wellord1 [Urb07]
% 4.73/4.85
% 4.73/4.85 % Status : Theorem
% 4.73/4.85 % Rating : 0.19 v8.1.0, 0.25 v7.5.0, 0.22 v7.4.0, 0.20 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.37 v6.0.0, 0.39 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.44 v5.2.0, 0.30 v5.1.0, 0.33 v5.0.0, 0.38 v4.1.0, 0.43 v4.0.1, 0.48 v4.0.0, 0.50 v3.7.0, 0.55 v3.5.0, 0.58 v3.3.0
% 4.73/4.85 % Syntax : Number of formulae : 306 ( 58 unt; 0 def)
% 4.73/4.85 % Number of atoms : 954 ( 172 equ)
% 4.73/4.85 % Maximal formula atoms : 15 ( 3 avg)
% 4.73/4.85 % Number of connectives : 756 ( 108 ~; 8 |; 257 &)
% 4.73/4.85 % ( 113 <=>; 270 =>; 0 <=; 0 <~>)
% 4.73/4.85 % Maximal formula depth : 14 ( 5 avg)
% 4.73/4.85 % Maximal term depth : 4 ( 1 avg)
% 4.73/4.85 % Number of predicates : 30 ( 28 usr; 1 prp; 0-2 aty)
% 4.73/4.85 % Number of functors : 33 ( 33 usr; 1 con; 0-3 aty)
% 4.73/4.85 % Number of variables : 647 ( 615 !; 32 ?)
% 4.73/4.85 % SPC : FOF_THM_RFO_SEQ
% 4.73/4.85
% 4.73/4.85 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 4.73/4.85 % library, www.mizar.org
% 4.73/4.85 %------------------------------------------------------------------------------
% 4.73/4.85 fof(antisymmetry_r2_hidden,axiom,
% 4.73/4.85 ! [A,B] :
% 4.73/4.85 ( in(A,B)
% 4.73/4.85 => ~ in(B,A) ) ).
% 4.73/4.85
% 4.73/4.85 fof(antisymmetry_r2_xboole_0,axiom,
% 4.73/4.85 ! [A,B] :
% 4.73/4.85 ( proper_subset(A,B)
% 4.73/4.85 => ~ proper_subset(B,A) ) ).
% 4.73/4.85
% 4.73/4.85 fof(cc1_funct_1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( empty(A)
% 4.73/4.85 => function(A) ) ).
% 4.73/4.85
% 4.73/4.85 fof(cc1_ordinal1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( ordinal(A)
% 4.73/4.85 => ( epsilon_transitive(A)
% 4.73/4.85 & epsilon_connected(A) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(cc1_relat_1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( empty(A)
% 4.73/4.85 => relation(A) ) ).
% 4.73/4.85
% 4.73/4.85 fof(cc2_funct_1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( ( relation(A)
% 4.73/4.85 & empty(A)
% 4.73/4.85 & function(A) )
% 4.73/4.85 => ( relation(A)
% 4.73/4.85 & function(A)
% 4.73/4.85 & one_to_one(A) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(cc2_ordinal1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( ( epsilon_transitive(A)
% 4.73/4.85 & epsilon_connected(A) )
% 4.73/4.85 => ordinal(A) ) ).
% 4.73/4.85
% 4.73/4.85 fof(cc3_ordinal1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( empty(A)
% 4.73/4.85 => ( epsilon_transitive(A)
% 4.73/4.85 & epsilon_connected(A)
% 4.73/4.85 & ordinal(A) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(commutativity_k2_tarski,axiom,
% 4.73/4.85 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 4.73/4.85
% 4.73/4.85 fof(commutativity_k2_xboole_0,axiom,
% 4.73/4.85 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 4.73/4.85
% 4.73/4.85 fof(commutativity_k3_xboole_0,axiom,
% 4.73/4.85 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 4.73/4.85
% 4.73/4.85 fof(connectedness_r1_ordinal1,axiom,
% 4.73/4.85 ! [A,B] :
% 4.73/4.85 ( ( ordinal(A)
% 4.73/4.85 & ordinal(B) )
% 4.73/4.85 => ( ordinal_subset(A,B)
% 4.73/4.85 | ordinal_subset(B,A) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d10_relat_1,axiom,
% 4.73/4.85 ! [A,B] :
% 4.73/4.85 ( relation(B)
% 4.73/4.85 => ( B = identity_relation(A)
% 4.73/4.85 <=> ! [C,D] :
% 4.73/4.85 ( in(ordered_pair(C,D),B)
% 4.73/4.85 <=> ( in(C,A)
% 4.73/4.85 & C = D ) ) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d10_xboole_0,axiom,
% 4.73/4.85 ! [A,B] :
% 4.73/4.85 ( A = B
% 4.73/4.85 <=> ( subset(A,B)
% 4.73/4.85 & subset(B,A) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d11_relat_1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( relation(A)
% 4.73/4.85 => ! [B,C] :
% 4.73/4.85 ( relation(C)
% 4.73/4.85 => ( C = relation_dom_restriction(A,B)
% 4.73/4.85 <=> ! [D,E] :
% 4.73/4.85 ( in(ordered_pair(D,E),C)
% 4.73/4.85 <=> ( in(D,B)
% 4.73/4.85 & in(ordered_pair(D,E),A) ) ) ) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d12_funct_1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( ( relation(A)
% 4.73/4.85 & function(A) )
% 4.73/4.85 => ! [B,C] :
% 4.73/4.85 ( C = relation_image(A,B)
% 4.73/4.85 <=> ! [D] :
% 4.73/4.85 ( in(D,C)
% 4.73/4.85 <=> ? [E] :
% 4.73/4.85 ( in(E,relation_dom(A))
% 4.73/4.85 & in(E,B)
% 4.73/4.85 & D = apply(A,E) ) ) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d12_relat_1,axiom,
% 4.73/4.85 ! [A,B] :
% 4.73/4.85 ( relation(B)
% 4.73/4.85 => ! [C] :
% 4.73/4.85 ( relation(C)
% 4.73/4.85 => ( C = relation_rng_restriction(A,B)
% 4.73/4.85 <=> ! [D,E] :
% 4.73/4.85 ( in(ordered_pair(D,E),C)
% 4.73/4.85 <=> ( in(E,A)
% 4.73/4.85 & in(ordered_pair(D,E),B) ) ) ) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d12_relat_2,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( relation(A)
% 4.73/4.85 => ( antisymmetric(A)
% 4.73/4.85 <=> is_antisymmetric_in(A,relation_field(A)) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d13_funct_1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( ( relation(A)
% 4.73/4.85 & function(A) )
% 4.73/4.85 => ! [B,C] :
% 4.73/4.85 ( C = relation_inverse_image(A,B)
% 4.73/4.85 <=> ! [D] :
% 4.73/4.85 ( in(D,C)
% 4.73/4.85 <=> ( in(D,relation_dom(A))
% 4.73/4.85 & in(apply(A,D),B) ) ) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d13_relat_1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( relation(A)
% 4.73/4.85 => ! [B,C] :
% 4.73/4.85 ( C = relation_image(A,B)
% 4.73/4.85 <=> ! [D] :
% 4.73/4.85 ( in(D,C)
% 4.73/4.85 <=> ? [E] :
% 4.73/4.85 ( in(ordered_pair(E,D),A)
% 4.73/4.85 & in(E,B) ) ) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d14_relat_1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( relation(A)
% 4.73/4.85 => ! [B,C] :
% 4.73/4.85 ( C = relation_inverse_image(A,B)
% 4.73/4.85 <=> ! [D] :
% 4.73/4.85 ( in(D,C)
% 4.73/4.85 <=> ? [E] :
% 4.73/4.85 ( in(ordered_pair(D,E),A)
% 4.73/4.85 & in(E,B) ) ) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d14_relat_2,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( relation(A)
% 4.73/4.85 => ( connected(A)
% 4.73/4.85 <=> is_connected_in(A,relation_field(A)) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d16_relat_2,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( relation(A)
% 4.73/4.85 => ( transitive(A)
% 4.73/4.85 <=> is_transitive_in(A,relation_field(A)) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d1_enumset1,axiom,
% 4.73/4.85 ! [A,B,C,D] :
% 4.73/4.85 ( D = unordered_triple(A,B,C)
% 4.73/4.85 <=> ! [E] :
% 4.73/4.85 ( in(E,D)
% 4.73/4.85 <=> ~ ( E != A
% 4.73/4.85 & E != B
% 4.73/4.85 & E != C ) ) ) ).
% 4.73/4.85
% 4.73/4.85 fof(d1_ordinal1,axiom,
% 4.73/4.85 ! [A] : succ(A) = set_union2(A,singleton(A)) ).
% 4.73/4.85
% 4.73/4.85 fof(d1_relat_1,axiom,
% 4.73/4.85 ! [A] :
% 4.73/4.85 ( relation(A)
% 4.73/4.85 <=> ! [B] :
% 4.73/4.85 ~ ( in(B,A)
% 4.73/4.86 & ! [C,D] : B != ordered_pair(C,D) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d1_relat_2,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( is_reflexive_in(A,B)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ( in(C,B)
% 4.73/4.86 => in(ordered_pair(C,C),A) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d1_setfam_1,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( ( A != empty_set
% 4.73/4.86 => ( B = set_meet(A)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ( in(C,B)
% 4.73/4.86 <=> ! [D] :
% 4.73/4.86 ( in(D,A)
% 4.73/4.86 => in(C,D) ) ) ) )
% 4.73/4.86 & ( A = empty_set
% 4.73/4.86 => ( B = set_meet(A)
% 4.73/4.86 <=> B = empty_set ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d1_tarski,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( B = singleton(A)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ( in(C,B)
% 4.73/4.86 <=> C = A ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d1_xboole_0,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( A = empty_set
% 4.73/4.86 <=> ! [B] : ~ in(B,A) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d1_zfmisc_1,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( B = powerset(A)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ( in(C,B)
% 4.73/4.86 <=> subset(C,A) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d2_ordinal1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( epsilon_transitive(A)
% 4.73/4.86 <=> ! [B] :
% 4.73/4.86 ( in(B,A)
% 4.73/4.86 => subset(B,A) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d2_relat_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( relation(B)
% 4.73/4.86 => ( A = B
% 4.73/4.86 <=> ! [C,D] :
% 4.73/4.86 ( in(ordered_pair(C,D),A)
% 4.73/4.86 <=> in(ordered_pair(C,D),B) ) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d2_subset_1,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( ( ~ empty(A)
% 4.73/4.86 => ( element(B,A)
% 4.73/4.86 <=> in(B,A) ) )
% 4.73/4.86 & ( empty(A)
% 4.73/4.86 => ( element(B,A)
% 4.73/4.86 <=> empty(B) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d2_tarski,axiom,
% 4.73/4.86 ! [A,B,C] :
% 4.73/4.86 ( C = unordered_pair(A,B)
% 4.73/4.86 <=> ! [D] :
% 4.73/4.86 ( in(D,C)
% 4.73/4.86 <=> ( D = A
% 4.73/4.86 | D = B ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d2_wellord1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ( well_founded_relation(A)
% 4.73/4.86 <=> ! [B] :
% 4.73/4.86 ~ ( subset(B,relation_field(A))
% 4.73/4.86 & B != empty_set
% 4.73/4.86 & ! [C] :
% 4.73/4.86 ~ ( in(C,B)
% 4.73/4.86 & disjoint(fiber(A,C),B) ) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d2_xboole_0,axiom,
% 4.73/4.86 ! [A,B,C] :
% 4.73/4.86 ( C = set_union2(A,B)
% 4.73/4.86 <=> ! [D] :
% 4.73/4.86 ( in(D,C)
% 4.73/4.86 <=> ( in(D,A)
% 4.73/4.86 | in(D,B) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d2_zfmisc_1,axiom,
% 4.73/4.86 ! [A,B,C] :
% 4.73/4.86 ( C = cartesian_product2(A,B)
% 4.73/4.86 <=> ! [D] :
% 4.73/4.86 ( in(D,C)
% 4.73/4.86 <=> ? [E,F] :
% 4.73/4.86 ( in(E,A)
% 4.73/4.86 & in(F,B)
% 4.73/4.86 & D = ordered_pair(E,F) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d3_ordinal1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( epsilon_connected(A)
% 4.73/4.86 <=> ! [B,C] :
% 4.73/4.86 ~ ( in(B,A)
% 4.73/4.86 & in(C,A)
% 4.73/4.86 & ~ in(B,C)
% 4.73/4.86 & B != C
% 4.73/4.86 & ~ in(C,B) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d3_relat_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( relation(B)
% 4.73/4.86 => ( subset(A,B)
% 4.73/4.86 <=> ! [C,D] :
% 4.73/4.86 ( in(ordered_pair(C,D),A)
% 4.73/4.86 => in(ordered_pair(C,D),B) ) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d3_tarski,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( subset(A,B)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ( in(C,A)
% 4.73/4.86 => in(C,B) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d3_wellord1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( is_well_founded_in(A,B)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ~ ( subset(C,B)
% 4.73/4.86 & C != empty_set
% 4.73/4.86 & ! [D] :
% 4.73/4.86 ~ ( in(D,C)
% 4.73/4.86 & disjoint(fiber(A,D),C) ) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d3_xboole_0,axiom,
% 4.73/4.86 ! [A,B,C] :
% 4.73/4.86 ( C = set_intersection2(A,B)
% 4.73/4.86 <=> ! [D] :
% 4.73/4.86 ( in(D,C)
% 4.73/4.86 <=> ( in(D,A)
% 4.73/4.86 & in(D,B) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d4_funct_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( ( relation(A)
% 4.73/4.86 & function(A) )
% 4.73/4.86 => ! [B,C] :
% 4.73/4.86 ( ( in(B,relation_dom(A))
% 4.73/4.86 => ( C = apply(A,B)
% 4.73/4.86 <=> in(ordered_pair(B,C),A) ) )
% 4.73/4.86 & ( ~ in(B,relation_dom(A))
% 4.73/4.86 => ( C = apply(A,B)
% 4.73/4.86 <=> C = empty_set ) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d4_ordinal1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( ordinal(A)
% 4.73/4.86 <=> ( epsilon_transitive(A)
% 4.73/4.86 & epsilon_connected(A) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d4_relat_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( B = relation_dom(A)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ( in(C,B)
% 4.73/4.86 <=> ? [D] : in(ordered_pair(C,D),A) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d4_relat_2,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( is_antisymmetric_in(A,B)
% 4.73/4.86 <=> ! [C,D] :
% 4.73/4.86 ( ( in(C,B)
% 4.73/4.86 & in(D,B)
% 4.73/4.86 & in(ordered_pair(C,D),A)
% 4.73/4.86 & in(ordered_pair(D,C),A) )
% 4.73/4.86 => C = D ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d4_subset_1,axiom,
% 4.73/4.86 ! [A] : cast_to_subset(A) = A ).
% 4.73/4.86
% 4.73/4.86 fof(d4_tarski,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( B = union(A)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ( in(C,B)
% 4.73/4.86 <=> ? [D] :
% 4.73/4.86 ( in(C,D)
% 4.73/4.86 & in(D,A) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d4_wellord1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ( well_ordering(A)
% 4.73/4.86 <=> ( reflexive(A)
% 4.73/4.86 & transitive(A)
% 4.73/4.86 & antisymmetric(A)
% 4.73/4.86 & connected(A)
% 4.73/4.86 & well_founded_relation(A) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d4_xboole_0,axiom,
% 4.73/4.86 ! [A,B,C] :
% 4.73/4.86 ( C = set_difference(A,B)
% 4.73/4.86 <=> ! [D] :
% 4.73/4.86 ( in(D,C)
% 4.73/4.86 <=> ( in(D,A)
% 4.73/4.86 & ~ in(D,B) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d5_funct_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( ( relation(A)
% 4.73/4.86 & function(A) )
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( B = relation_rng(A)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ( in(C,B)
% 4.73/4.86 <=> ? [D] :
% 4.73/4.86 ( in(D,relation_dom(A))
% 4.73/4.86 & C = apply(A,D) ) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d5_relat_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( B = relation_rng(A)
% 4.73/4.86 <=> ! [C] :
% 4.73/4.86 ( in(C,B)
% 4.73/4.86 <=> ? [D] : in(ordered_pair(D,C),A) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d5_subset_1,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( element(B,powerset(A))
% 4.73/4.86 => subset_complement(A,B) = set_difference(A,B) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d5_tarski,axiom,
% 4.73/4.86 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 4.73/4.86
% 4.73/4.86 fof(d5_wellord1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( well_orders(A,B)
% 4.73/4.86 <=> ( is_reflexive_in(A,B)
% 4.73/4.86 & is_transitive_in(A,B)
% 4.73/4.86 & is_antisymmetric_in(A,B)
% 4.73/4.86 & is_connected_in(A,B)
% 4.73/4.86 & is_well_founded_in(A,B) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d6_ordinal1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( being_limit_ordinal(A)
% 4.73/4.86 <=> A = union(A) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d6_relat_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d6_relat_2,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( is_connected_in(A,B)
% 4.73/4.86 <=> ! [C,D] :
% 4.73/4.86 ~ ( in(C,B)
% 4.73/4.86 & in(D,B)
% 4.73/4.86 & C != D
% 4.73/4.86 & ~ in(ordered_pair(C,D),A)
% 4.73/4.86 & ~ in(ordered_pair(D,C),A) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d6_wellord1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d7_relat_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( relation(B)
% 4.73/4.86 => ( B = relation_inverse(A)
% 4.73/4.86 <=> ! [C,D] :
% 4.73/4.86 ( in(ordered_pair(C,D),B)
% 4.73/4.86 <=> in(ordered_pair(D,C),A) ) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d7_xboole_0,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( disjoint(A,B)
% 4.73/4.86 <=> set_intersection2(A,B) = empty_set ) ).
% 4.73/4.86
% 4.73/4.86 fof(d8_funct_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( ( relation(A)
% 4.73/4.86 & function(A) )
% 4.73/4.86 => ( one_to_one(A)
% 4.73/4.86 <=> ! [B,C] :
% 4.73/4.86 ( ( in(B,relation_dom(A))
% 4.73/4.86 & in(C,relation_dom(A))
% 4.73/4.86 & apply(A,B) = apply(A,C) )
% 4.73/4.86 => B = C ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d8_relat_1,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( relation(B)
% 4.73/4.86 => ! [C] :
% 4.73/4.86 ( relation(C)
% 4.73/4.86 => ( C = relation_composition(A,B)
% 4.73/4.86 <=> ! [D,E] :
% 4.73/4.86 ( in(ordered_pair(D,E),C)
% 4.73/4.86 <=> ? [F] :
% 4.73/4.86 ( in(ordered_pair(D,F),A)
% 4.73/4.86 & in(ordered_pair(F,E),B) ) ) ) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d8_relat_2,axiom,
% 4.73/4.86 ! [A] :
% 4.73/4.86 ( relation(A)
% 4.73/4.86 => ! [B] :
% 4.73/4.86 ( is_transitive_in(A,B)
% 4.73/4.86 <=> ! [C,D,E] :
% 4.73/4.86 ( ( in(C,B)
% 4.73/4.86 & in(D,B)
% 4.73/4.86 & in(E,B)
% 4.73/4.86 & in(ordered_pair(C,D),A)
% 4.73/4.86 & in(ordered_pair(D,E),A) )
% 4.73/4.86 => in(ordered_pair(C,E),A) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d8_setfam_1,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( element(B,powerset(powerset(A)))
% 4.73/4.86 => ! [C] :
% 4.73/4.86 ( element(C,powerset(powerset(A)))
% 4.73/4.86 => ( C = complements_of_subsets(A,B)
% 4.73/4.86 <=> ! [D] :
% 4.73/4.86 ( element(D,powerset(A))
% 4.73/4.86 => ( in(D,C)
% 4.73/4.86 <=> in(subset_complement(A,D),B) ) ) ) ) ) ).
% 4.73/4.86
% 4.73/4.86 fof(d8_xboole_0,axiom,
% 4.73/4.86 ! [A,B] :
% 4.73/4.86 ( proper_subset(A,B)
% 4.73/4.86 <=> ( subset(A,B)
% 4.73/4.86 & A != B ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(d9_funct_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & function(A) )
% 4.73/4.87 => ( one_to_one(A)
% 4.73/4.87 => function_inverse(A) = relation_inverse(A) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(d9_relat_2,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => ( reflexive(A)
% 4.73/4.87 <=> is_reflexive_in(A,relation_field(A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k10_relat_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k1_enumset1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k1_funct_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k1_ordinal1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k1_relat_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k1_setfam_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k1_tarski,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k1_wellord1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k1_xboole_0,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k1_zfmisc_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k2_funct_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & function(A) )
% 4.73/4.87 => ( relation(function_inverse(A))
% 4.73/4.87 & function(function_inverse(A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k2_relat_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k2_subset_1,axiom,
% 4.73/4.87 ! [A] : element(cast_to_subset(A),powerset(A)) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k2_tarski,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k2_wellord1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => relation(relation_restriction(A,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k2_xboole_0,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k2_zfmisc_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k3_relat_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k3_subset_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( element(B,powerset(A))
% 4.73/4.87 => element(subset_complement(A,B),powerset(A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k3_tarski,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k3_xboole_0,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k4_relat_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => relation(relation_inverse(A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k4_tarski,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k4_xboole_0,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k5_relat_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & relation(B) )
% 4.73/4.87 => relation(relation_composition(A,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k5_setfam_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( element(B,powerset(powerset(A)))
% 4.73/4.87 => element(union_of_subsets(A,B),powerset(A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k6_relat_1,axiom,
% 4.73/4.87 ! [A] : relation(identity_relation(A)) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k6_setfam_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( element(B,powerset(powerset(A)))
% 4.73/4.87 => element(meet_of_subsets(A,B),powerset(A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k6_subset_1,axiom,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( ( element(B,powerset(A))
% 4.73/4.87 & element(C,powerset(A)) )
% 4.73/4.87 => element(subset_difference(A,B,C),powerset(A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k7_relat_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => relation(relation_dom_restriction(A,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k7_setfam_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( element(B,powerset(powerset(A)))
% 4.73/4.87 => element(complements_of_subsets(A,B),powerset(powerset(A))) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k8_relat_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => relation(relation_rng_restriction(A,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(dt_k9_relat_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(dt_m1_subset_1,axiom,
% 4.73/4.87 $true ).
% 4.73/4.87
% 4.73/4.87 fof(existence_m1_subset_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ? [B] : element(B,A) ).
% 4.73/4.87
% 4.73/4.87 fof(fc10_relat_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( empty(A)
% 4.73/4.87 & relation(B) )
% 4.73/4.87 => ( empty(relation_composition(B,A))
% 4.73/4.87 & relation(relation_composition(B,A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc11_relat_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( empty(A)
% 4.73/4.87 => ( empty(relation_inverse(A))
% 4.73/4.87 & relation(relation_inverse(A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc12_relat_1,axiom,
% 4.73/4.87 ( empty(empty_set)
% 4.73/4.87 & relation(empty_set)
% 4.73/4.87 & relation_empty_yielding(empty_set) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc13_relat_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & relation_empty_yielding(A) )
% 4.73/4.87 => ( relation(relation_dom_restriction(A,B))
% 4.73/4.87 & relation_empty_yielding(relation_dom_restriction(A,B)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc1_funct_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & function(A)
% 4.73/4.87 & relation(B)
% 4.73/4.87 & function(B) )
% 4.73/4.87 => ( relation(relation_composition(A,B))
% 4.73/4.87 & function(relation_composition(A,B)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc1_ordinal1,axiom,
% 4.73/4.87 ! [A] : ~ empty(succ(A)) ).
% 4.73/4.87
% 4.73/4.87 fof(fc1_relat_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & relation(B) )
% 4.73/4.87 => relation(set_intersection2(A,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc1_subset_1,axiom,
% 4.73/4.87 ! [A] : ~ empty(powerset(A)) ).
% 4.73/4.87
% 4.73/4.87 fof(fc1_xboole_0,axiom,
% 4.73/4.87 empty(empty_set) ).
% 4.73/4.87
% 4.73/4.87 fof(fc1_zfmisc_1,axiom,
% 4.73/4.87 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 4.73/4.87
% 4.73/4.87 fof(fc2_funct_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(identity_relation(A))
% 4.73/4.87 & function(identity_relation(A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc2_ordinal1,axiom,
% 4.73/4.87 ( relation(empty_set)
% 4.73/4.87 & relation_empty_yielding(empty_set)
% 4.73/4.87 & function(empty_set)
% 4.73/4.87 & one_to_one(empty_set)
% 4.73/4.87 & empty(empty_set)
% 4.73/4.87 & epsilon_transitive(empty_set)
% 4.73/4.87 & epsilon_connected(empty_set)
% 4.73/4.87 & ordinal(empty_set) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc2_relat_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & relation(B) )
% 4.73/4.87 => relation(set_union2(A,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc2_subset_1,axiom,
% 4.73/4.87 ! [A] : ~ empty(singleton(A)) ).
% 4.73/4.87
% 4.73/4.87 fof(fc2_xboole_0,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ~ empty(A)
% 4.73/4.87 => ~ empty(set_union2(A,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc3_funct_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & function(A)
% 4.73/4.87 & one_to_one(A) )
% 4.73/4.87 => ( relation(relation_inverse(A))
% 4.73/4.87 & function(relation_inverse(A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc3_ordinal1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( ordinal(A)
% 4.73/4.87 => ( ~ empty(succ(A))
% 4.73/4.87 & epsilon_transitive(succ(A))
% 4.73/4.87 & epsilon_connected(succ(A))
% 4.73/4.87 & ordinal(succ(A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc3_relat_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & relation(B) )
% 4.73/4.87 => relation(set_difference(A,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc3_subset_1,axiom,
% 4.73/4.87 ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 4.73/4.87
% 4.73/4.87 fof(fc3_xboole_0,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ~ empty(A)
% 4.73/4.87 => ~ empty(set_union2(B,A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc4_funct_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(A)
% 4.73/4.87 & function(A) )
% 4.73/4.87 => ( relation(relation_dom_restriction(A,B))
% 4.73/4.87 & function(relation_dom_restriction(A,B)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc4_ordinal1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( ordinal(A)
% 4.73/4.87 => ( epsilon_transitive(union(A))
% 4.73/4.87 & epsilon_connected(union(A))
% 4.73/4.87 & ordinal(union(A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc4_relat_1,axiom,
% 4.73/4.87 ( empty(empty_set)
% 4.73/4.87 & relation(empty_set) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc4_subset_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( ~ empty(A)
% 4.73/4.87 & ~ empty(B) )
% 4.73/4.87 => ~ empty(cartesian_product2(A,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc5_funct_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(B)
% 4.73/4.87 & function(B) )
% 4.73/4.87 => ( relation(relation_rng_restriction(A,B))
% 4.73/4.87 & function(relation_rng_restriction(A,B)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc5_relat_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( ( ~ empty(A)
% 4.73/4.87 & relation(A) )
% 4.73/4.87 => ~ empty(relation_dom(A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc6_relat_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( ( ~ empty(A)
% 4.73/4.87 & relation(A) )
% 4.73/4.87 => ~ empty(relation_rng(A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc7_relat_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( empty(A)
% 4.73/4.87 => ( empty(relation_dom(A))
% 4.73/4.87 & relation(relation_dom(A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc8_relat_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( empty(A)
% 4.73/4.87 => ( empty(relation_rng(A))
% 4.73/4.87 & relation(relation_rng(A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(fc9_relat_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( empty(A)
% 4.73/4.87 & relation(B) )
% 4.73/4.87 => ( empty(relation_composition(A,B))
% 4.73/4.87 & relation(relation_composition(A,B)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(idempotence_k2_xboole_0,axiom,
% 4.73/4.87 ! [A,B] : set_union2(A,A) = A ).
% 4.73/4.87
% 4.73/4.87 fof(idempotence_k3_xboole_0,axiom,
% 4.73/4.87 ! [A,B] : set_intersection2(A,A) = A ).
% 4.73/4.87
% 4.73/4.87 fof(involutiveness_k3_subset_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( element(B,powerset(A))
% 4.73/4.87 => subset_complement(A,subset_complement(A,B)) = B ) ).
% 4.73/4.87
% 4.73/4.87 fof(involutiveness_k4_relat_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => relation_inverse(relation_inverse(A)) = A ) ).
% 4.73/4.87
% 4.73/4.87 fof(involutiveness_k7_setfam_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( element(B,powerset(powerset(A)))
% 4.73/4.87 => complements_of_subsets(A,complements_of_subsets(A,B)) = B ) ).
% 4.73/4.87
% 4.73/4.87 fof(irreflexivity_r2_xboole_0,axiom,
% 4.73/4.87 ! [A,B] : ~ proper_subset(A,A) ).
% 4.73/4.87
% 4.73/4.87 fof(l1_wellord1,lemma,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => ( reflexive(A)
% 4.73/4.87 <=> ! [B] :
% 4.73/4.87 ( in(B,relation_field(A))
% 4.73/4.87 => in(ordered_pair(B,B),A) ) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l1_zfmisc_1,lemma,
% 4.73/4.87 ! [A] : singleton(A) != empty_set ).
% 4.73/4.87
% 4.73/4.87 fof(l23_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( in(A,B)
% 4.73/4.87 => set_union2(singleton(A),B) = B ) ).
% 4.73/4.87
% 4.73/4.87 fof(l25_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ~ ( disjoint(singleton(A),B)
% 4.73/4.87 & in(A,B) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l28_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ~ in(A,B)
% 4.73/4.87 => disjoint(singleton(A),B) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l29_wellord1,conjecture,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l2_wellord1,lemma,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => ( transitive(A)
% 4.73/4.87 <=> ! [B,C,D] :
% 4.73/4.87 ( ( in(ordered_pair(B,C),A)
% 4.73/4.87 & in(ordered_pair(C,D),A) )
% 4.73/4.87 => in(ordered_pair(B,D),A) ) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l2_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( subset(singleton(A),B)
% 4.73/4.87 <=> in(A,B) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l32_xboole_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( set_difference(A,B) = empty_set
% 4.73/4.87 <=> subset(A,B) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l3_subset_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( element(B,powerset(A))
% 4.73/4.87 => ! [C] :
% 4.73/4.87 ( in(C,B)
% 4.73/4.87 => in(C,A) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l3_wellord1,lemma,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => ( antisymmetric(A)
% 4.73/4.87 <=> ! [B,C] :
% 4.73/4.87 ( ( in(ordered_pair(B,C),A)
% 4.73/4.87 & in(ordered_pair(C,B),A) )
% 4.73/4.87 => B = C ) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l3_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( subset(A,B)
% 4.73/4.87 => ( in(C,A)
% 4.73/4.87 | subset(A,set_difference(B,singleton(C))) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l4_wellord1,lemma,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => ( connected(A)
% 4.73/4.87 <=> ! [B,C] :
% 4.73/4.87 ~ ( in(B,relation_field(A))
% 4.73/4.87 & in(C,relation_field(A))
% 4.73/4.87 & B != C
% 4.73/4.87 & ~ in(ordered_pair(B,C),A)
% 4.73/4.87 & ~ in(ordered_pair(C,B),A) ) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l4_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( subset(A,singleton(B))
% 4.73/4.87 <=> ( A = empty_set
% 4.73/4.87 | A = singleton(B) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l50_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( in(A,B)
% 4.73/4.87 => subset(A,union(B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l55_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B,C,D] :
% 4.73/4.87 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 4.73/4.87 <=> ( in(A,C)
% 4.73/4.87 & in(B,D) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l71_subset_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ! [C] :
% 4.73/4.87 ( in(C,A)
% 4.73/4.87 => in(C,B) )
% 4.73/4.87 => element(A,powerset(B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(l82_funct_1,lemma,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( ( relation(C)
% 4.73/4.87 & function(C) )
% 4.73/4.87 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 4.73/4.87 <=> ( in(B,relation_dom(C))
% 4.73/4.87 & in(B,A) ) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc1_funct_1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 & function(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc1_ordinal1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( epsilon_transitive(A)
% 4.73/4.87 & epsilon_connected(A)
% 4.73/4.87 & ordinal(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc1_relat_1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( empty(A)
% 4.73/4.87 & relation(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc1_subset_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( ~ empty(A)
% 4.73/4.87 => ? [B] :
% 4.73/4.87 ( element(B,powerset(A))
% 4.73/4.87 & ~ empty(B) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc1_xboole_0,axiom,
% 4.73/4.87 ? [A] : empty(A) ).
% 4.73/4.87
% 4.73/4.87 fof(rc2_funct_1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 & empty(A)
% 4.73/4.87 & function(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc2_ordinal1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 & function(A)
% 4.73/4.87 & one_to_one(A)
% 4.73/4.87 & empty(A)
% 4.73/4.87 & epsilon_transitive(A)
% 4.73/4.87 & epsilon_connected(A)
% 4.73/4.87 & ordinal(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc2_relat_1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( ~ empty(A)
% 4.73/4.87 & relation(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc2_subset_1,axiom,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ? [B] :
% 4.73/4.87 ( element(B,powerset(A))
% 4.73/4.87 & empty(B) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc2_xboole_0,axiom,
% 4.73/4.87 ? [A] : ~ empty(A) ).
% 4.73/4.87
% 4.73/4.87 fof(rc3_funct_1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 & function(A)
% 4.73/4.87 & one_to_one(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc3_ordinal1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( ~ empty(A)
% 4.73/4.87 & epsilon_transitive(A)
% 4.73/4.87 & epsilon_connected(A)
% 4.73/4.87 & ordinal(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc3_relat_1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 & relation_empty_yielding(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(rc4_funct_1,axiom,
% 4.73/4.87 ? [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 & relation_empty_yielding(A)
% 4.73/4.87 & function(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(redefinition_k5_setfam_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( element(B,powerset(powerset(A)))
% 4.73/4.87 => union_of_subsets(A,B) = union(B) ) ).
% 4.73/4.87
% 4.73/4.87 fof(redefinition_k6_setfam_1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( element(B,powerset(powerset(A)))
% 4.73/4.87 => meet_of_subsets(A,B) = set_meet(B) ) ).
% 4.73/4.87
% 4.73/4.87 fof(redefinition_k6_subset_1,axiom,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( ( element(B,powerset(A))
% 4.73/4.87 & element(C,powerset(A)) )
% 4.73/4.87 => subset_difference(A,B,C) = set_difference(B,C) ) ).
% 4.73/4.87
% 4.73/4.87 fof(redefinition_r1_ordinal1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( ordinal(A)
% 4.73/4.87 & ordinal(B) )
% 4.73/4.87 => ( ordinal_subset(A,B)
% 4.73/4.87 <=> subset(A,B) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(reflexivity_r1_ordinal1,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( ordinal(A)
% 4.73/4.87 & ordinal(B) )
% 4.73/4.87 => ordinal_subset(A,A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(reflexivity_r1_tarski,axiom,
% 4.73/4.87 ! [A,B] : subset(A,A) ).
% 4.73/4.87
% 4.73/4.87 fof(symmetry_r1_xboole_0,axiom,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( disjoint(A,B)
% 4.73/4.87 => disjoint(B,A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t106_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B,C,D] :
% 4.73/4.87 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 4.73/4.87 <=> ( in(A,C)
% 4.73/4.87 & in(B,D) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t10_ordinal1,lemma,
% 4.73/4.87 ! [A] : in(A,succ(A)) ).
% 4.73/4.87
% 4.73/4.87 fof(t10_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B,C,D] :
% 4.73/4.87 ~ ( unordered_pair(A,B) = unordered_pair(C,D)
% 4.73/4.87 & A != C
% 4.73/4.87 & A != D ) ).
% 4.73/4.87
% 4.73/4.87 fof(t115_relat_1,lemma,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( relation(C)
% 4.73/4.87 => ( in(A,relation_rng(relation_rng_restriction(B,C)))
% 4.73/4.87 <=> ( in(A,B)
% 4.73/4.87 & in(A,relation_rng(C)) ) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t116_relat_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => subset(relation_rng(relation_rng_restriction(A,B)),A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t117_relat_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => subset(relation_rng_restriction(A,B),B) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t118_relat_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t118_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( subset(A,B)
% 4.73/4.87 => ( subset(cartesian_product2(A,C),cartesian_product2(B,C))
% 4.73/4.87 & subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t119_relat_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => relation_rng(relation_rng_restriction(A,B)) = set_intersection2(relation_rng(B),A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t119_zfmisc_1,lemma,
% 4.73/4.87 ! [A,B,C,D] :
% 4.73/4.87 ( ( subset(A,B)
% 4.73/4.87 & subset(C,D) )
% 4.73/4.87 => subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t12_xboole_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( subset(A,B)
% 4.73/4.87 => set_union2(A,B) = B ) ).
% 4.73/4.87
% 4.73/4.87 fof(t136_zfmisc_1,lemma,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ? [B] :
% 4.73/4.87 ( in(A,B)
% 4.73/4.87 & ! [C,D] :
% 4.73/4.87 ( ( in(C,B)
% 4.73/4.87 & subset(D,C) )
% 4.73/4.87 => in(D,B) )
% 4.73/4.87 & ! [C] :
% 4.73/4.87 ( in(C,B)
% 4.73/4.87 => in(powerset(C),B) )
% 4.73/4.87 & ! [C] :
% 4.73/4.87 ~ ( subset(C,B)
% 4.73/4.87 & ~ are_equipotent(C,B)
% 4.73/4.87 & ~ in(C,B) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t140_relat_1,lemma,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( relation(C)
% 4.73/4.87 => relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t143_relat_1,lemma,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( relation(C)
% 4.73/4.87 => ( in(A,relation_image(C,B))
% 4.73/4.87 <=> ? [D] :
% 4.73/4.87 ( in(D,relation_dom(C))
% 4.73/4.87 & in(ordered_pair(D,A),C)
% 4.73/4.87 & in(D,B) ) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t144_relat_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => subset(relation_image(B,A),relation_rng(B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t145_funct_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(B)
% 4.73/4.87 & function(B) )
% 4.73/4.87 => subset(relation_image(B,relation_inverse_image(B,A)),A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t145_relat_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => relation_image(B,A) = relation_image(B,set_intersection2(relation_dom(B),A)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t146_funct_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => ( subset(A,relation_dom(B))
% 4.73/4.87 => subset(A,relation_inverse_image(B,relation_image(B,A))) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t146_relat_1,lemma,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => relation_image(A,relation_dom(A)) = relation_rng(A) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t147_funct_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( ( relation(B)
% 4.73/4.87 & function(B) )
% 4.73/4.87 => ( subset(A,relation_rng(B))
% 4.73/4.87 => relation_image(B,relation_inverse_image(B,A)) = A ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t160_relat_1,lemma,
% 4.73/4.87 ! [A] :
% 4.73/4.87 ( relation(A)
% 4.73/4.87 => ! [B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => relation_rng(relation_composition(A,B)) = relation_image(B,relation_rng(A)) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t166_relat_1,lemma,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( relation(C)
% 4.73/4.87 => ( in(A,relation_inverse_image(C,B))
% 4.73/4.87 <=> ? [D] :
% 4.73/4.87 ( in(D,relation_rng(C))
% 4.73/4.87 & in(ordered_pair(A,D),C)
% 4.73/4.87 & in(D,B) ) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t167_relat_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => subset(relation_inverse_image(B,A),relation_dom(B)) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t16_wellord1,lemma,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( relation(C)
% 4.73/4.87 => ( in(A,relation_restriction(C,B))
% 4.73/4.87 <=> ( in(A,C)
% 4.73/4.87 & in(A,cartesian_product2(B,B)) ) ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t174_relat_1,lemma,
% 4.73/4.87 ! [A,B] :
% 4.73/4.87 ( relation(B)
% 4.73/4.87 => ~ ( A != empty_set
% 4.73/4.87 & subset(A,relation_rng(B))
% 4.73/4.87 & relation_inverse_image(B,A) = empty_set ) ) ).
% 4.73/4.87
% 4.73/4.87 fof(t178_relat_1,lemma,
% 4.73/4.87 ! [A,B,C] :
% 4.73/4.87 ( relation(C)
% 4.73/4.87 => ( subset(A,B)
% 4.73/4.88 => subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t17_wellord1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t17_xboole_1,lemma,
% 4.73/4.88 ! [A,B] : subset(set_intersection2(A,B),A) ).
% 4.73/4.88
% 4.73/4.88 fof(t18_wellord1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t19_xboole_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( ( subset(A,B)
% 4.73/4.88 & subset(A,C) )
% 4.73/4.88 => subset(A,set_intersection2(B,C)) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t1_boole,axiom,
% 4.73/4.88 ! [A] : set_union2(A,empty_set) = A ).
% 4.73/4.88
% 4.73/4.88 fof(t1_subset,axiom,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( in(A,B)
% 4.73/4.88 => element(A,B) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t1_xboole_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( ( subset(A,B)
% 4.73/4.88 & subset(B,C) )
% 4.73/4.88 => subset(A,C) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t1_zfmisc_1,lemma,
% 4.73/4.88 powerset(empty_set) = singleton(empty_set) ).
% 4.73/4.88
% 4.73/4.88 fof(t20_relat_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( relation(C)
% 4.73/4.88 => ( in(ordered_pair(A,B),C)
% 4.73/4.88 => ( in(A,relation_dom(C))
% 4.73/4.88 & in(B,relation_rng(C)) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t21_funct_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ( relation(B)
% 4.73/4.88 & function(B) )
% 4.73/4.88 => ! [C] :
% 4.73/4.88 ( ( relation(C)
% 4.73/4.88 & function(C) )
% 4.73/4.88 => ( in(A,relation_dom(relation_composition(C,B)))
% 4.73/4.88 <=> ( in(A,relation_dom(C))
% 4.73/4.88 & in(apply(C,A),relation_dom(B)) ) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t21_ordinal1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( epsilon_transitive(A)
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( ordinal(B)
% 4.73/4.88 => ( proper_subset(A,B)
% 4.73/4.88 => in(A,B) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t21_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t22_funct_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ( relation(B)
% 4.73/4.88 & function(B) )
% 4.73/4.88 => ! [C] :
% 4.73/4.88 ( ( relation(C)
% 4.73/4.88 & function(C) )
% 4.73/4.88 => ( in(A,relation_dom(relation_composition(C,B)))
% 4.73/4.88 => apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t23_funct_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ( relation(B)
% 4.73/4.88 & function(B) )
% 4.73/4.88 => ! [C] :
% 4.73/4.88 ( ( relation(C)
% 4.73/4.88 & function(C) )
% 4.73/4.88 => ( in(A,relation_dom(B))
% 4.73/4.88 => apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t23_ordinal1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ordinal(B)
% 4.73/4.88 => ( in(A,B)
% 4.73/4.88 => ordinal(A) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t24_ordinal1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( ordinal(A)
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( ordinal(B)
% 4.73/4.88 => ~ ( ~ in(A,B)
% 4.73/4.88 & A != B
% 4.73/4.88 & ~ in(B,A) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t25_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => ( subset(A,B)
% 4.73/4.88 => ( subset(relation_dom(A),relation_dom(B))
% 4.73/4.88 & subset(relation_rng(A),relation_rng(B)) ) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t26_xboole_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( subset(A,B)
% 4.73/4.88 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t28_xboole_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( subset(A,B)
% 4.73/4.88 => set_intersection2(A,B) = A ) ).
% 4.73/4.88
% 4.73/4.88 fof(t2_boole,axiom,
% 4.73/4.88 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 4.73/4.88
% 4.73/4.88 fof(t2_subset,axiom,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( element(A,B)
% 4.73/4.88 => ( empty(B)
% 4.73/4.88 | in(A,B) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t2_tarski,axiom,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ! [C] :
% 4.73/4.88 ( in(C,A)
% 4.73/4.88 <=> in(C,B) )
% 4.73/4.88 => A = B ) ).
% 4.73/4.88
% 4.73/4.88 fof(t2_xboole_1,lemma,
% 4.73/4.88 ! [A] : subset(empty_set,A) ).
% 4.73/4.88
% 4.73/4.88 fof(t30_relat_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( relation(C)
% 4.73/4.88 => ( in(ordered_pair(A,B),C)
% 4.73/4.88 => ( in(A,relation_field(C))
% 4.73/4.88 & in(B,relation_field(C)) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t31_ordinal1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( ! [B] :
% 4.73/4.88 ( in(B,A)
% 4.73/4.88 => ( ordinal(B)
% 4.73/4.88 & subset(B,A) ) )
% 4.73/4.88 => ordinal(A) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t32_ordinal1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ordinal(B)
% 4.73/4.88 => ~ ( subset(A,B)
% 4.73/4.88 & A != empty_set
% 4.73/4.88 & ! [C] :
% 4.73/4.88 ( ordinal(C)
% 4.73/4.88 => ~ ( in(C,A)
% 4.73/4.88 & ! [D] :
% 4.73/4.88 ( ordinal(D)
% 4.73/4.88 => ( in(D,A)
% 4.73/4.88 => ordinal_subset(C,D) ) ) ) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t33_ordinal1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( ordinal(A)
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( ordinal(B)
% 4.73/4.88 => ( in(A,B)
% 4.73/4.88 <=> ordinal_subset(succ(A),B) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t33_xboole_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( subset(A,B)
% 4.73/4.88 => subset(set_difference(A,C),set_difference(B,C)) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t33_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B,C,D] :
% 4.73/4.88 ( ordered_pair(A,B) = ordered_pair(C,D)
% 4.73/4.88 => ( A = C
% 4.73/4.88 & B = D ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t34_funct_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ( relation(B)
% 4.73/4.88 & function(B) )
% 4.73/4.88 => ( B = identity_relation(A)
% 4.73/4.88 <=> ( relation_dom(B) = A
% 4.73/4.88 & ! [C] :
% 4.73/4.88 ( in(C,A)
% 4.73/4.88 => apply(B,C) = C ) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t35_funct_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( in(B,A)
% 4.73/4.88 => apply(identity_relation(A),B) = B ) ).
% 4.73/4.88
% 4.73/4.88 fof(t36_xboole_1,lemma,
% 4.73/4.88 ! [A,B] : subset(set_difference(A,B),A) ).
% 4.73/4.88
% 4.73/4.88 fof(t37_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ( relation_rng(A) = relation_dom(relation_inverse(A))
% 4.73/4.88 & relation_dom(A) = relation_rng(relation_inverse(A)) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t37_xboole_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( set_difference(A,B) = empty_set
% 4.73/4.88 <=> subset(A,B) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t37_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( subset(singleton(A),B)
% 4.73/4.88 <=> in(A,B) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t38_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( subset(unordered_pair(A,B),C)
% 4.73/4.88 <=> ( in(A,C)
% 4.73/4.88 & in(B,C) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t39_xboole_1,lemma,
% 4.73/4.88 ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
% 4.73/4.88
% 4.73/4.88 fof(t39_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( subset(A,singleton(B))
% 4.73/4.88 <=> ( A = empty_set
% 4.73/4.88 | A = singleton(B) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t3_boole,axiom,
% 4.73/4.88 ! [A] : set_difference(A,empty_set) = A ).
% 4.73/4.88
% 4.73/4.88 fof(t3_ordinal1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ~ ( in(A,B)
% 4.73/4.88 & in(B,C)
% 4.73/4.88 & in(C,A) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t3_subset,axiom,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( element(A,powerset(B))
% 4.73/4.88 <=> subset(A,B) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t3_xboole_0,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ~ ( ~ disjoint(A,B)
% 4.73/4.88 & ! [C] :
% 4.73/4.88 ~ ( in(C,A)
% 4.73/4.88 & in(C,B) ) )
% 4.73/4.88 & ~ ( ? [C] :
% 4.73/4.88 ( in(C,A)
% 4.73/4.88 & in(C,B) )
% 4.73/4.88 & disjoint(A,B) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t3_xboole_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( subset(A,empty_set)
% 4.73/4.88 => A = empty_set ) ).
% 4.73/4.88
% 4.73/4.88 fof(t40_xboole_1,lemma,
% 4.73/4.88 ! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
% 4.73/4.88
% 4.73/4.88 fof(t41_ordinal1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( ordinal(A)
% 4.73/4.88 => ( being_limit_ordinal(A)
% 4.73/4.88 <=> ! [B] :
% 4.73/4.88 ( ordinal(B)
% 4.73/4.88 => ( in(B,A)
% 4.73/4.88 => in(succ(B),A) ) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t42_ordinal1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( ordinal(A)
% 4.73/4.88 => ( ~ ( ~ being_limit_ordinal(A)
% 4.73/4.88 & ! [B] :
% 4.73/4.88 ( ordinal(B)
% 4.73/4.88 => A != succ(B) ) )
% 4.73/4.88 & ~ ( ? [B] :
% 4.73/4.88 ( ordinal(B)
% 4.73/4.88 & A = succ(B) )
% 4.73/4.88 & being_limit_ordinal(A) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t43_subset_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( element(B,powerset(A))
% 4.73/4.88 => ! [C] :
% 4.73/4.88 ( element(C,powerset(A))
% 4.73/4.88 => ( disjoint(B,C)
% 4.73/4.88 <=> subset(B,subset_complement(A,C)) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t44_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => subset(relation_dom(relation_composition(A,B)),relation_dom(A)) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t45_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => subset(relation_rng(relation_composition(A,B)),relation_rng(B)) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t45_xboole_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( subset(A,B)
% 4.73/4.88 => B = set_union2(A,set_difference(B,A)) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t46_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => ( subset(relation_rng(A),relation_dom(B))
% 4.73/4.88 => relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t46_setfam_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( element(B,powerset(powerset(A)))
% 4.73/4.88 => ~ ( B != empty_set
% 4.73/4.88 & complements_of_subsets(A,B) = empty_set ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t46_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( in(A,B)
% 4.73/4.88 => set_union2(singleton(A),B) = B ) ).
% 4.73/4.88
% 4.73/4.88 fof(t47_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => ( subset(relation_dom(A),relation_rng(B))
% 4.73/4.88 => relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t47_setfam_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( element(B,powerset(powerset(A)))
% 4.73/4.88 => ( B != empty_set
% 4.73/4.88 => subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B)) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t48_setfam_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( element(B,powerset(powerset(A)))
% 4.73/4.88 => ( B != empty_set
% 4.73/4.88 => union_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t48_xboole_1,lemma,
% 4.73/4.88 ! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
% 4.73/4.88
% 4.73/4.88 fof(t4_boole,axiom,
% 4.73/4.88 ! [A] : set_difference(empty_set,A) = empty_set ).
% 4.73/4.88
% 4.73/4.88 fof(t4_subset,axiom,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( ( in(A,B)
% 4.73/4.88 & element(B,powerset(C)) )
% 4.73/4.88 => element(A,C) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t4_xboole_0,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ~ ( ~ disjoint(A,B)
% 4.73/4.88 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 4.73/4.88 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 4.73/4.88 & disjoint(A,B) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t50_subset_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( A != empty_set
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( element(B,powerset(A))
% 4.73/4.88 => ! [C] :
% 4.73/4.88 ( element(C,A)
% 4.73/4.88 => ( ~ in(C,B)
% 4.73/4.88 => in(C,subset_complement(A,B)) ) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t54_funct_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( ( relation(A)
% 4.73/4.88 & function(A) )
% 4.73/4.88 => ( one_to_one(A)
% 4.73/4.88 => ! [B] :
% 4.73/4.88 ( ( relation(B)
% 4.73/4.88 & function(B) )
% 4.73/4.88 => ( B = function_inverse(A)
% 4.73/4.88 <=> ( relation_dom(B) = relation_rng(A)
% 4.73/4.88 & ! [C,D] :
% 4.73/4.88 ( ( ( in(C,relation_rng(A))
% 4.73/4.88 & D = apply(B,C) )
% 4.73/4.88 => ( in(D,relation_dom(A))
% 4.73/4.88 & C = apply(A,D) ) )
% 4.73/4.88 & ( ( in(D,relation_dom(A))
% 4.73/4.88 & C = apply(A,D) )
% 4.73/4.88 => ( in(C,relation_rng(A))
% 4.73/4.88 & D = apply(B,C) ) ) ) ) ) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t54_subset_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( element(C,powerset(A))
% 4.73/4.88 => ~ ( in(B,subset_complement(A,C))
% 4.73/4.88 & in(B,C) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t55_funct_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( ( relation(A)
% 4.73/4.88 & function(A) )
% 4.73/4.88 => ( one_to_one(A)
% 4.73/4.88 => ( relation_rng(A) = relation_dom(function_inverse(A))
% 4.73/4.88 & relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t56_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ( ! [B,C] : ~ in(ordered_pair(B,C),A)
% 4.73/4.88 => A = empty_set ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t57_funct_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ( relation(B)
% 4.73/4.88 & function(B) )
% 4.73/4.88 => ( ( one_to_one(B)
% 4.73/4.88 & in(A,relation_rng(B)) )
% 4.73/4.88 => ( A = apply(B,apply(function_inverse(B),A))
% 4.73/4.88 & A = apply(relation_composition(function_inverse(B),B),A) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t5_subset,axiom,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ~ ( in(A,B)
% 4.73/4.88 & element(B,powerset(C))
% 4.73/4.88 & empty(C) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t5_wellord1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ( well_founded_relation(A)
% 4.73/4.88 <=> is_well_founded_in(A,relation_field(A)) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t60_relat_1,lemma,
% 4.73/4.88 ( relation_dom(empty_set) = empty_set
% 4.73/4.88 & relation_rng(empty_set) = empty_set ) ).
% 4.73/4.88
% 4.73/4.88 fof(t60_xboole_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ~ ( subset(A,B)
% 4.73/4.88 & proper_subset(B,A) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t62_funct_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( ( relation(A)
% 4.73/4.88 & function(A) )
% 4.73/4.88 => ( one_to_one(A)
% 4.73/4.88 => one_to_one(function_inverse(A)) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t63_xboole_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( ( subset(A,B)
% 4.73/4.88 & disjoint(B,C) )
% 4.73/4.88 => disjoint(A,C) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t64_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ( ( relation_dom(A) = empty_set
% 4.73/4.88 | relation_rng(A) = empty_set )
% 4.73/4.88 => A = empty_set ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t65_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ( relation_dom(A) = empty_set
% 4.73/4.88 <=> relation_rng(A) = empty_set ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t65_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( set_difference(A,singleton(B)) = A
% 4.73/4.88 <=> ~ in(B,A) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t68_funct_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( ( relation(B)
% 4.73/4.88 & function(B) )
% 4.73/4.88 => ! [C] :
% 4.73/4.88 ( ( relation(C)
% 4.73/4.88 & function(C) )
% 4.73/4.88 => ( B = relation_dom_restriction(C,A)
% 4.73/4.88 <=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)
% 4.73/4.88 & ! [D] :
% 4.73/4.88 ( in(D,relation_dom(B))
% 4.73/4.88 => apply(B,D) = apply(C,D) ) ) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t69_enumset1,lemma,
% 4.73/4.88 ! [A] : unordered_pair(A,A) = singleton(A) ).
% 4.73/4.88
% 4.73/4.88 fof(t6_boole,axiom,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( empty(A)
% 4.73/4.88 => A = empty_set ) ).
% 4.73/4.88
% 4.73/4.88 fof(t6_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( subset(singleton(A),singleton(B))
% 4.73/4.88 => A = B ) ).
% 4.73/4.88
% 4.73/4.88 fof(t70_funct_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( ( relation(C)
% 4.73/4.88 & function(C) )
% 4.73/4.88 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 4.73/4.88 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t71_relat_1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation_dom(identity_relation(A)) = A
% 4.73/4.88 & relation_rng(identity_relation(A)) = A ) ).
% 4.73/4.88
% 4.73/4.88 fof(t72_funct_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( ( relation(C)
% 4.73/4.88 & function(C) )
% 4.73/4.88 => ( in(B,A)
% 4.73/4.88 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t74_relat_1,lemma,
% 4.73/4.88 ! [A,B,C,D] :
% 4.73/4.88 ( relation(D)
% 4.73/4.88 => ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))
% 4.73/4.88 <=> ( in(A,C)
% 4.73/4.88 & in(ordered_pair(A,B),D) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t7_boole,axiom,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ~ ( in(A,B)
% 4.73/4.88 & empty(B) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t7_tarski,axiom,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ~ ( in(A,B)
% 4.73/4.88 & ! [C] :
% 4.73/4.88 ~ ( in(C,B)
% 4.73/4.88 & ! [D] :
% 4.73/4.88 ~ ( in(D,B)
% 4.73/4.88 & in(D,C) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t7_xboole_1,lemma,
% 4.73/4.88 ! [A,B] : subset(A,set_union2(A,B)) ).
% 4.73/4.88
% 4.73/4.88 fof(t83_xboole_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( disjoint(A,B)
% 4.73/4.88 <=> set_difference(A,B) = A ) ).
% 4.73/4.88
% 4.73/4.88 fof(t86_relat_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( relation(C)
% 4.73/4.88 => ( in(A,relation_dom(relation_dom_restriction(C,B)))
% 4.73/4.88 <=> ( in(A,B)
% 4.73/4.88 & in(A,relation_dom(C)) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t88_relat_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => subset(relation_dom_restriction(B,A),B) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t8_boole,axiom,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ~ ( empty(A)
% 4.73/4.88 & A != B
% 4.73/4.88 & empty(B) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t8_funct_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( ( relation(C)
% 4.73/4.88 & function(C) )
% 4.73/4.88 => ( in(ordered_pair(A,B),C)
% 4.73/4.88 <=> ( in(A,relation_dom(C))
% 4.73/4.88 & B = apply(C,A) ) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t8_wellord1,lemma,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ( relation(A)
% 4.73/4.88 => ( well_orders(A,relation_field(A))
% 4.73/4.88 <=> well_ordering(A) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t8_xboole_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( ( subset(A,B)
% 4.73/4.88 & subset(C,B) )
% 4.73/4.88 => subset(set_union2(A,C),B) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t8_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( singleton(A) = unordered_pair(B,C)
% 4.73/4.88 => A = B ) ).
% 4.73/4.88
% 4.73/4.88 fof(t90_relat_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => relation_dom(relation_dom_restriction(B,A)) = set_intersection2(relation_dom(B),A) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t92_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( in(A,B)
% 4.73/4.88 => subset(A,union(B)) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t94_relat_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => relation_dom_restriction(B,A) = relation_composition(identity_relation(A),B) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t99_relat_1,lemma,
% 4.73/4.88 ! [A,B] :
% 4.73/4.88 ( relation(B)
% 4.73/4.88 => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t99_zfmisc_1,lemma,
% 4.73/4.88 ! [A] : union(powerset(A)) = A ).
% 4.73/4.88
% 4.73/4.88 fof(t9_tarski,axiom,
% 4.73/4.88 ! [A] :
% 4.73/4.88 ? [B] :
% 4.73/4.88 ( in(A,B)
% 4.73/4.88 & ! [C,D] :
% 4.73/4.88 ( ( in(C,B)
% 4.73/4.88 & subset(D,C) )
% 4.73/4.88 => in(D,B) )
% 4.73/4.88 & ! [C] :
% 4.73/4.88 ~ ( in(C,B)
% 4.73/4.88 & ! [D] :
% 4.73/4.88 ~ ( in(D,B)
% 4.73/4.88 & ! [E] :
% 4.73/4.88 ( subset(E,C)
% 4.73/4.88 => in(E,D) ) ) )
% 4.73/4.88 & ! [C] :
% 4.73/4.88 ~ ( subset(C,B)
% 4.73/4.88 & ~ are_equipotent(C,B)
% 4.73/4.88 & ~ in(C,B) ) ) ).
% 4.73/4.88
% 4.73/4.88 fof(t9_zfmisc_1,lemma,
% 4.73/4.88 ! [A,B,C] :
% 4.73/4.88 ( singleton(A) = unordered_pair(B,C)
% 4.73/4.88 => B = C ) ).
% 4.73/4.88
% 4.73/4.88 %------------------------------------------------------------------------------
% 4.73/4.88 %-------------------------------------------
% 4.73/4.88 % Proof found
% 4.73/4.88 % SZS status Theorem for theBenchmark
% 4.73/4.88 % SZS output start Proof
% 4.73/4.88 %ClaNum:955(EqnAxiom:329)
% 4.73/4.88 %VarNum:4395(SingletonVarNum:1261)
% 4.73/4.88 %MaxLitNum:11
% 4.73/4.88 %MaxfuncDepth:4
% 4.73/4.88 %SharedTerms:67
% 4.73/4.88 %goalClause: 361 415
% 4.73/4.88 %singleGoalClaCount:2
% 4.73/4.88 [335]P1(a1)
% 4.73/4.88 [336]P1(a6)
% 4.73/4.88 [337]P1(a120)
% 4.73/4.88 [338]P1(a122)
% 4.73/4.88 [339]P1(a123)
% 4.73/4.88 [340]P8(a1)
% 4.73/4.88 [341]P8(a7)
% 4.73/4.88 [342]P8(a122)
% 4.73/4.88 [343]P8(a123)
% 4.73/4.88 [344]P8(a124)
% 4.73/4.88 [345]P8(a8)
% 4.73/4.88 [346]P11(a1)
% 4.73/4.88 [347]P11(a118)
% 4.73/4.88 [348]P11(a123)
% 4.73/4.88 [349]P11(a9)
% 4.73/4.88 [350]P9(a1)
% 4.73/4.88 [351]P9(a118)
% 4.73/4.88 [352]P9(a123)
% 4.73/4.88 [353]P9(a9)
% 4.73/4.88 [354]P10(a1)
% 4.73/4.88 [355]P10(a118)
% 4.73/4.88 [356]P10(a123)
% 4.73/4.88 [357]P10(a9)
% 4.73/4.88 [360]P19(a1)
% 4.73/4.88 [361]P19(a11)
% 4.73/4.88 [362]P19(a7)
% 4.73/4.88 [363]P19(a6)
% 4.73/4.88 [364]P19(a122)
% 4.73/4.88 [365]P19(a123)
% 4.73/4.88 [366]P19(a125)
% 4.73/4.88 [367]P19(a124)
% 4.73/4.88 [368]P19(a10)
% 4.73/4.88 [369]P19(a8)
% 4.73/4.88 [370]P12(a1)
% 4.73/4.88 [371]P12(a123)
% 4.73/4.88 [372]P12(a124)
% 4.73/4.88 [374]P23(a1)
% 4.73/4.88 [375]P23(a10)
% 4.73/4.88 [376]P23(a8)
% 4.73/4.88 [407]~P1(a125)
% 4.73/4.88 [408]~P1(a127)
% 4.73/4.88 [409]~P1(a9)
% 4.73/4.88 [330]E(f5(a1),a1)
% 4.73/4.88 [331]E(f135(a1),a1)
% 4.73/4.88 [388]E(f149(a1,a1),f132(a1))
% 4.73/4.88 [415]~P24(f5(f144(a107,a11)),f5(a11))
% 4.73/4.88 [385]P24(a1,x3851)
% 4.73/4.88 [389]P24(x3891,x3891)
% 4.73/4.88 [412]~P20(x4121,x4121)
% 4.73/4.88 [377]P1(f126(x3771))
% 4.73/4.88 [378]P8(f128(x3781))
% 4.73/4.88 [380]P19(f128(x3801))
% 4.73/4.88 [384]E(f143(a1,x3841),a1)
% 4.73/4.88 [386]E(f145(x3861,a1),x3861)
% 4.73/4.88 [387]E(f143(x3871,a1),x3871)
% 4.73/4.88 [390]E(f145(x3901,x3901),x3901)
% 4.73/4.88 [391]P13(x3911,f12(x3911))
% 4.73/4.88 [392]P13(x3921,f13(x3921))
% 4.73/4.88 [393]P2(x3931,f132(x3931))
% 4.73/4.88 [394]P2(f34(x3941),x3941)
% 4.73/4.88 [395]P2(f126(x3951),f132(x3951))
% 4.73/4.88 [410]~P1(f132(x4101))
% 4.73/4.88 [411]~E(f149(x4111,x4111),a1)
% 4.73/4.88 [381]E(f5(f128(x3811)),x3811)
% 4.73/4.88 [382]E(f142(f132(x3821)),x3821)
% 4.73/4.88 [383]E(f135(f128(x3831)),x3831)
% 4.73/4.88 [398]E(f143(x3981,f143(x3981,a1)),a1)
% 4.73/4.88 [401]E(f143(x4011,f143(x4011,x4011)),x4011)
% 4.73/4.88 [405]P13(x4051,f145(x4051,f149(x4051,x4051)))
% 4.73/4.88 [416]~P1(f145(x4161,f149(x4161,x4161)))
% 4.73/4.88 [396]E(f149(x3961,x3962),f149(x3962,x3961))
% 4.73/4.88 [397]E(f145(x3971,x3972),f145(x3972,x3971))
% 4.73/4.88 [399]P24(x3991,f145(x3991,x3992))
% 4.73/4.88 [400]P24(f143(x4001,x4002),x4001)
% 4.73/4.88 [413]~P1(f149(x4131,x4132))
% 4.73/4.88 [402]E(f145(x4021,f143(x4022,x4021)),f145(x4021,x4022))
% 4.73/4.88 [403]E(f143(f145(x4031,x4032),x4032),f143(x4031,x4032))
% 4.73/4.88 [404]E(f143(x4041,f143(x4041,x4042)),f143(x4042,f143(x4042,x4041)))
% 4.73/4.88 [418]~P1(x4181)+E(x4181,a1)
% 4.73/4.88 [420]~P1(x4201)+P8(x4201)
% 4.73/4.88 [421]~P1(x4211)+P11(x4211)
% 4.73/4.88 [422]~P1(x4221)+P9(x4221)
% 4.73/4.88 [424]~P11(x4241)+P9(x4241)
% 4.73/4.88 [425]~P1(x4251)+P10(x4251)
% 4.73/4.88 [427]~P11(x4271)+P10(x4271)
% 4.73/4.88 [428]~P1(x4281)+P19(x4281)
% 4.73/4.88 [462]~P24(x4621,a1)+E(x4621,a1)
% 4.73/4.88 [430]~P3(x4301)+E(f142(x4301),x4301)
% 4.73/4.88 [431]P3(x4311)+~E(f142(x4311),x4311)
% 4.73/4.88 [435]P10(x4351)+~E(f35(x4351),f36(x4351))
% 4.73/4.88 [436]~P1(x4361)+P1(f5(x4361))
% 4.73/4.88 [437]~P1(x4371)+P1(f135(x4371))
% 4.73/4.88 [438]~P1(x4381)+P1(f136(x4381))
% 4.73/4.88 [439]~P11(x4391)+P11(f142(x4391))
% 4.73/4.88 [440]~P11(x4401)+P9(f142(x4401))
% 4.73/4.88 [441]~P11(x4411)+P10(f142(x4411))
% 4.73/4.88 [442]~P1(x4421)+P19(f5(x4421))
% 4.73/4.88 [443]~P1(x4431)+P19(f135(x4431))
% 4.73/4.88 [444]~P1(x4441)+P19(f136(x4441))
% 4.73/4.88 [445]~P19(x4451)+P19(f136(x4451))
% 4.73/4.88 [459]P1(x4591)+~P1(f121(x4591))
% 4.73/4.88 [463]P13(f38(x4631),x4631)+E(x4631,a1)
% 4.73/4.88 [470]P11(x4701)+P13(f15(x4701),x4701)
% 4.73/4.88 [471]P9(x4711)+P13(f55(x4711),x4711)
% 4.73/4.88 [472]P10(x4721)+P13(f36(x4721),x4721)
% 4.73/4.88 [473]P10(x4731)+P13(f35(x4731),x4731)
% 4.73/4.88 [474]P19(x4741)+P13(f39(x4741),x4741)
% 4.73/4.88 [485]P1(x4851)+P2(f121(x4851),f132(x4851))
% 4.73/4.88 [502]P9(x5021)+~P24(f55(x5021),x5021)
% 4.73/4.88 [570]P10(x5701)+~P13(f36(x5701),f35(x5701))
% 4.73/4.88 [571]P10(x5711)+~P13(f35(x5711),f36(x5711))
% 4.73/4.88 [448]~P19(x4481)+E(f136(f136(x4481)),x4481)
% 4.73/4.88 [460]~P19(x4601)+E(f135(f136(x4601)),f5(x4601))
% 4.73/4.88 [461]~P19(x4611)+E(f5(f136(x4611)),f135(x4611))
% 4.73/4.88 [486]~P19(x4861)+E(f137(x4861,f5(x4861)),f135(x4861))
% 4.73/4.88 [513]~P19(x5131)+E(f145(f5(x5131),f135(x5131)),f138(x5131))
% 4.73/4.88 [653]~P19(x6531)+P24(x6531,f3(f5(x6531),f135(x6531)))
% 4.73/4.88 [694]~P11(x6941)+P11(f145(x6941,f149(x6941,x6941)))
% 4.73/4.88 [695]~P11(x6951)+P9(f145(x6951,f149(x6951,x6951)))
% 4.73/4.88 [696]~P11(x6961)+P10(f145(x6961,f149(x6961,x6961)))
% 4.73/4.88 [447]~E(x4471,x4472)+P24(x4471,x4472)
% 4.73/4.88 [475]~P13(x4752,x4751)+~E(x4751,a1)
% 4.73/4.88 [477]~P20(x4771,x4772)+~E(x4771,x4772)
% 4.73/4.88 [484]~P1(x4841)+~P13(x4842,x4841)
% 4.73/4.88 [507]~P20(x5071,x5072)+P24(x5071,x5072)
% 4.73/4.88 [508]~P13(x5081,x5082)+P2(x5081,x5082)
% 4.73/4.88 [509]~P7(x5092,x5091)+P7(x5091,x5092)
% 4.73/4.88 [562]~P13(x5622,x5621)+~P13(x5621,x5622)
% 4.73/4.88 [563]~P20(x5632,x5631)+~P20(x5631,x5632)
% 4.73/4.88 [564]~P24(x5642,x5641)+~P20(x5641,x5642)
% 4.73/4.88 [504]~P24(x5041,x5042)+E(f143(x5041,x5042),a1)
% 4.73/4.88 [506]P24(x5061,x5062)+~E(f143(x5061,x5062),a1)
% 4.73/4.88 [510]~P19(x5101)+P19(f139(x5101,x5102))
% 4.73/4.88 [511]~P19(x5112)+P19(f144(x5111,x5112))
% 4.73/4.88 [512]~P19(x5121)+P19(f140(x5121,x5122))
% 4.73/4.88 [514]~P24(x5141,x5142)+E(f145(x5141,x5142),x5142)
% 4.73/4.88 [515]~P7(x5151,x5152)+E(f143(x5151,x5152),x5151)
% 4.73/4.88 [516]P7(x5161,x5162)+~E(f143(x5161,x5162),x5161)
% 4.73/4.88 [530]~E(x5301,a1)+P24(x5301,f149(x5302,x5302))
% 4.73/4.88 [532]~P13(x5321,x5322)+P24(x5321,f142(x5322))
% 4.73/4.88 [533]~P24(x5331,x5332)+P2(x5331,f132(x5332))
% 4.73/4.88 [574]P24(x5741,x5742)+~P2(x5741,f132(x5742))
% 4.73/4.88 [575]~P19(x5751)+P24(f139(x5751,x5752),x5751)
% 4.73/4.88 [576]~P19(x5762)+P24(f144(x5761,x5762),x5762)
% 4.73/4.88 [585]P1(x5851)+~P1(f145(x5852,x5851))
% 4.73/4.88 [586]P1(x5861)+~P1(f145(x5861,x5862))
% 4.73/4.88 [589]~P19(x5891)+P24(f137(x5891,x5892),f135(x5891))
% 4.73/4.88 [590]~P19(x5901)+P24(f141(x5901,x5902),f5(x5901))
% 4.73/4.88 [592]P13(x5921,x5922)+P7(f149(x5921,x5921),x5922)
% 4.73/4.88 [593]P24(x5931,x5932)+P13(f71(x5931,x5932),x5931)
% 4.73/4.88 [594]P7(x5941,x5942)+P13(f19(x5941,x5942),x5942)
% 4.73/4.88 [595]P7(x5951,x5952)+P13(f19(x5951,x5952),x5951)
% 4.73/4.88 [598]P13(f132(x5981),f12(x5982))+~P13(x5981,f12(x5982))
% 4.73/4.88 [606]~P2(x6062,f132(x6061))+E(f147(x6061,x6062),f143(x6061,x6062))
% 4.73/4.88 [608]P13(f117(x6081,x6082),x6081)+P2(x6081,f132(x6082))
% 4.73/4.88 [626]~P13(x6261,x6262)+P13(f24(x6261,x6262),x6262)
% 4.73/4.88 [628]~P13(x6281,x6282)+P24(f149(x6281,x6281),x6282)
% 4.73/4.88 [667]P24(x6671,x6672)+~P13(f71(x6671,x6672),x6672)
% 4.73/4.88 [668]~P13(x6682,f13(x6681))+P13(f40(x6681,x6682),f13(x6681))
% 4.73/4.88 [669]~P2(x6692,f132(x6691))+P2(f147(x6691,x6692),f132(x6691))
% 4.73/4.88 [677]~P13(f117(x6771,x6772),x6772)+P2(x6771,f132(x6772))
% 4.73/4.88 [685]~P13(x6851,x6852)+~P7(f149(x6851,x6851),x6852)
% 4.73/4.88 [719]E(x7191,x7192)+~P24(f149(x7191,x7191),f149(x7192,x7192))
% 4.73/4.88 [522]~P19(x5222)+E(f134(f128(x5221),x5222),f139(x5222,x5221))
% 4.73/4.88 [535]~P13(x5352,x5351)+E(f2(f128(x5351),x5352),x5352)
% 4.73/4.88 [596]P13(x5962,x5961)+E(f143(x5961,f149(x5962,x5962)),x5961)
% 4.73/4.88 [612]~P19(x6122)+E(f144(x6121,f139(x6122,x6121)),f140(x6122,x6121))
% 4.73/4.88 [613]~P19(x6132)+E(f139(f144(x6131,x6132),x6131),f140(x6132,x6131))
% 4.73/4.88 [625]~P7(x6251,x6252)+E(f143(x6251,f143(x6251,x6252)),a1)
% 4.73/4.88 [632]~P24(x6321,x6322)+E(f145(x6321,f143(x6322,x6321)),x6322)
% 4.73/4.88 [633]~P24(x6331,x6332)+E(f143(x6331,f143(x6331,x6332)),x6331)
% 4.73/4.88 [635]~P13(x6351,x6352)+E(f145(f149(x6351,x6351),x6352),x6352)
% 4.73/4.88 [648]E(f150(x6481,x6482),f142(x6482))+~P2(x6482,f132(f132(x6481)))
% 4.73/4.88 [649]E(f133(x6491,x6492),f146(x6492))+~P2(x6492,f132(f132(x6491)))
% 4.73/4.88 [654]~P2(x6542,f132(x6541))+E(f147(x6541,f147(x6541,x6542)),x6542)
% 4.73/4.88 [662]P7(x6621,x6622)+~E(f143(x6621,f143(x6621,x6622)),a1)
% 4.73/4.88 [670]~P19(x6702)+P24(f135(f144(x6701,x6702)),x6701)
% 4.73/4.88 [679]~P19(x6791)+P24(f135(f139(x6791,x6792)),f135(x6791))
% 4.73/4.88 [680]~P19(x6802)+P24(f135(f144(x6801,x6802)),f135(x6802))
% 4.73/4.88 [688]~P13(x6882,x6881)+~E(f143(x6881,f149(x6882,x6882)),x6881)
% 4.73/4.88 [700]~P2(x7002,f132(f132(x7001)))+E(f4(x7001,f4(x7001,x7002)),x7002)
% 4.73/4.88 [709]P2(f150(x7091,x7092),f132(x7091))+~P2(x7092,f132(f132(x7091)))
% 4.73/4.88 [710]P2(f133(x7101,x7102),f132(x7101))+~P2(x7102,f132(f132(x7101)))
% 4.73/4.88 [725]~P2(x7252,f132(f132(x7251)))+P2(f4(x7251,x7252),f132(f132(x7251)))
% 4.73/4.88 [753]P7(x7531,x7532)+P13(f25(x7531,x7532),f143(x7531,f143(x7531,x7532)))
% 4.73/4.88 [705]~P19(x7051)+E(f143(f5(x7051),f143(f5(x7051),x7052)),f5(f139(x7051,x7052)))
% 4.73/4.88 [706]~P19(x7061)+E(f143(f135(x7061),f143(f135(x7061),x7062)),f135(f144(x7062,x7061)))
% 4.73/4.88 [732]~P19(x7321)+E(f143(x7321,f143(x7321,f3(x7322,x7322))),f140(x7321,x7322))
% 4.73/4.88 [776]~P19(x7761)+E(f137(x7761,f143(f5(x7761),f143(f5(x7761),x7762))),f137(x7761,x7762))
% 4.73/4.88 [572]E(x5721,x5722)+~E(f149(x5723,x5723),f149(x5721,x5722))
% 4.73/4.88 [573]E(x5731,x5732)+~E(f149(x5731,x5731),f149(x5732,x5733))
% 4.73/4.88 [663]P13(x6631,x6632)+~P24(f149(x6633,x6631),x6632)
% 4.73/4.88 [664]P13(x6641,x6642)+~P24(f149(x6641,x6643),x6642)
% 4.73/4.88 [691]~P24(x6911,x6913)+P24(f3(x6911,x6912),f3(x6913,x6912))
% 4.73/4.88 [692]~P24(x6922,x6923)+P24(f3(x6921,x6922),f3(x6921,x6923))
% 4.73/4.88 [693]~P24(x6931,x6933)+P24(f143(x6931,x6932),f143(x6933,x6932))
% 4.73/4.88 [687]~P19(x6872)+E(f144(x6871,f139(x6872,x6873)),f139(f144(x6871,x6872),x6873))
% 4.73/4.88 [736]P19(x7361)+~E(f39(x7361),f149(f149(x7362,x7363),f149(x7362,x7362)))
% 4.73/4.88 [786]~P7(x7861,x7862)+~P13(x7863,f143(x7861,f143(x7861,x7862)))
% 4.73/4.88 [802]~P24(x8021,x8023)+P24(f143(x8021,f143(x8021,x8022)),f143(x8023,f143(x8023,x8022)))
% 4.73/4.88 [807]E(x8071,x8072)+~E(f149(f149(x8073,x8071),f149(x8073,x8073)),f149(f149(x8074,x8072),f149(x8074,x8074)))
% 4.73/4.88 [808]E(x8081,x8082)+~E(f149(f149(x8081,x8083),f149(x8081,x8081)),f149(f149(x8082,x8084),f149(x8082,x8082)))
% 4.73/4.89 [851]P13(x8511,x8512)+~P13(f149(f149(x8513,x8511),f149(x8513,x8513)),f3(x8514,x8512))
% 4.73/4.89 [853]P13(x8531,x8532)+~P13(f149(f149(x8531,x8533),f149(x8531,x8531)),f3(x8532,x8534))
% 4.73/4.89 [453]~P9(x4531)+~P10(x4531)+P11(x4531)
% 4.73/4.89 [454]~P19(x4541)+~P27(x4541)+P4(x4541)
% 4.73/4.89 [455]~P19(x4551)+~P27(x4551)+P6(x4551)
% 4.73/4.89 [456]~P19(x4561)+~P27(x4561)+P26(x4561)
% 4.73/4.89 [457]~P19(x4571)+~P27(x4571)+P25(x4571)
% 4.73/4.89 [458]~P19(x4581)+~P27(x4581)+P22(x4581)
% 4.73/4.89 [432]~P19(x4321)+E(x4321,a1)+~E(f5(x4321),a1)
% 4.73/4.89 [433]~P19(x4331)+E(x4331,a1)+~E(f135(x4331),a1)
% 4.73/4.89 [449]~P19(x4491)+~E(f135(x4491),a1)+E(f5(x4491),a1)
% 4.73/4.89 [450]~P19(x4501)+~E(f5(x4501),a1)+E(f135(x4501),a1)
% 4.73/4.89 [451]~P19(x4511)+P25(x4511)+~E(f37(x4511),a1)
% 4.73/4.89 [464]~P11(x4641)+P3(x4641)+P11(f14(x4641))
% 4.73/4.89 [465]~P11(x4651)+P3(x4651)+P11(f23(x4651))
% 4.73/4.89 [466]~P19(x4661)+P4(x4661)+~E(f110(x4661),f111(x4661))
% 4.73/4.89 [467]~P19(x4671)+P6(x4671)+~E(f115(x4671),f116(x4671))
% 4.73/4.89 [468]~P8(x4681)+~P19(x4681)+P8(f129(x4681))
% 4.73/4.89 [469]~P8(x4691)+~P19(x4691)+P19(f129(x4691))
% 4.73/4.89 [479]~P19(x4791)+P1(x4791)+~P1(f5(x4791))
% 4.73/4.89 [480]~P19(x4801)+P1(x4801)+~P1(f135(x4801))
% 4.73/4.89 [491]~P11(x4911)+P3(x4911)+P13(f14(x4911),x4911)
% 4.73/4.89 [494]~P19(x4941)+~P4(x4941)+P14(x4941,f138(x4941))
% 4.73/4.89 [495]~P19(x4951)+~P6(x4951)+P15(x4951,f138(x4951))
% 4.73/4.89 [496]~P19(x4961)+~P26(x4961)+P16(x4961,f138(x4961))
% 4.73/4.89 [497]~P19(x4971)+~P22(x4971)+P17(x4971,f138(x4971))
% 4.73/4.89 [498]~P19(x4981)+~P25(x4981)+P18(x4981,f138(x4981))
% 4.73/4.89 [499]~P19(x4991)+~P27(x4991)+P28(x4991,f138(x4991))
% 4.73/4.89 [517]~P19(x5171)+P6(x5171)+P13(f116(x5171),f138(x5171))
% 4.73/4.89 [518]~P19(x5181)+P6(x5181)+P13(f115(x5181),f138(x5181))
% 4.73/4.89 [519]~P19(x5191)+P25(x5191)+P24(f37(x5191),f138(x5191))
% 4.73/4.89 [520]~P19(x5201)+P22(x5201)+P13(f108(x5201),f138(x5201))
% 4.73/4.89 [536]~P19(x5361)+P4(x5361)+~P14(x5361,f138(x5361))
% 4.73/4.89 [537]~P19(x5371)+P6(x5371)+~P15(x5371,f138(x5371))
% 4.73/4.89 [538]~P19(x5381)+P26(x5381)+~P16(x5381,f138(x5381))
% 4.73/4.89 [539]~P19(x5391)+P25(x5391)+~P18(x5391,f138(x5391))
% 4.73/4.89 [540]~P19(x5401)+P27(x5401)+~P28(x5401,f138(x5401))
% 4.73/4.89 [541]~P19(x5411)+P22(x5411)+~P17(x5411,f138(x5411))
% 4.73/4.89 [591]P11(x5911)+~P24(f15(x5911),x5911)+~P11(f15(x5911))
% 4.73/4.89 [675]P3(x6751)+~P11(x6751)+E(f145(f23(x6751),f149(f23(x6751),f23(x6751))),x6751)
% 4.73/4.89 [820]~P19(x8201)+E(x8201,a1)+P13(f149(f149(f30(x8201),f31(x8201)),f149(f30(x8201),f30(x8201))),x8201)
% 4.73/4.89 [821]~P11(x8211)+P3(x8211)+~P13(f145(f14(x8211),f149(f14(x8211),f14(x8211))),x8211)
% 4.73/4.89 [822]~P19(x8221)+P4(x8221)+P13(f149(f149(f111(x8221),f110(x8221)),f149(f111(x8221),f111(x8221))),x8221)
% 4.73/4.89 [823]~P19(x8231)+P4(x8231)+P13(f149(f149(f110(x8231),f111(x8231)),f149(f110(x8231),f110(x8231))),x8231)
% 4.73/4.89 [824]~P19(x8241)+P26(x8241)+P13(f149(f149(f112(x8241),f113(x8241)),f149(f112(x8241),f112(x8241))),x8241)
% 4.73/4.89 [825]~P19(x8251)+P26(x8251)+P13(f149(f149(f113(x8251),f114(x8251)),f149(f113(x8251),f113(x8251))),x8251)
% 4.73/4.89 [873]~P19(x8731)+P6(x8731)+~P13(f149(f149(f116(x8731),f115(x8731)),f149(f116(x8731),f116(x8731))),x8731)
% 4.73/4.89 [874]~P19(x8741)+P6(x8741)+~P13(f149(f149(f115(x8741),f116(x8741)),f149(f115(x8741),f115(x8741))),x8741)
% 4.73/4.89 [875]~P19(x8751)+P26(x8751)+~P13(f149(f149(f112(x8751),f114(x8751)),f149(f112(x8751),f112(x8751))),x8751)
% 4.73/4.89 [876]~P19(x8761)+P22(x8761)+~P13(f149(f149(f108(x8761),f108(x8761)),f149(f108(x8761),f108(x8761))),x8761)
% 4.73/4.89 [434]~P1(x4342)+~P1(x4341)+E(x4341,x4342)
% 4.73/4.89 [481]~P11(x4811)+P21(x4811,x4811)+~P11(x4812)
% 4.73/4.89 [482]~P1(x4822)+~P1(x4821)+P2(x4821,x4822)
% 4.73/4.89 [492]~P2(x4921,x4922)+P1(x4921)+~P1(x4922)
% 4.73/4.89 [493]~P13(x4931,x4932)+P11(x4931)+~P11(x4932)
% 4.73/4.89 [521]P20(x5211,x5212)+~P24(x5211,x5212)+E(x5211,x5212)
% 4.73/4.89 [524]~P2(x5242,x5241)+P1(x5241)+P13(x5242,x5241)
% 4.73/4.89 [543]~P9(x5432)+~P13(x5431,x5432)+P24(x5431,x5432)
% 4.73/4.89 [544]~P19(x5441)+~P28(x5441,x5442)+P14(x5441,x5442)
% 4.73/4.89 [545]~P19(x5451)+~P28(x5451,x5452)+P15(x5451,x5452)
% 4.73/4.89 [546]~P19(x5461)+~P28(x5461,x5462)+P16(x5461,x5462)
% 4.73/4.89 [547]~P19(x5471)+~P28(x5471,x5472)+P17(x5471,x5472)
% 4.73/4.89 [548]~P19(x5481)+~P28(x5481,x5482)+P18(x5481,x5482)
% 4.73/4.89 [578]~P24(x5782,x5781)+~P24(x5781,x5782)+E(x5781,x5782)
% 4.73/4.89 [419]~E(x4192,a1)+~E(x4191,a1)+E(x4191,f146(x4192))
% 4.73/4.89 [429]~E(x4291,f146(x4292))+E(x4291,a1)+~E(x4292,a1)
% 4.73/4.89 [542]~P19(x5421)+P18(x5421,x5422)+~E(f70(x5421,x5422),a1)
% 4.73/4.89 [549]~P1(x5492)+~P19(x5491)+P1(f134(x5491,x5492))
% 4.73/4.89 [550]~P1(x5501)+~P19(x5502)+P1(f134(x5501,x5502))
% 4.73/4.89 [551]~P8(x5511)+~P19(x5511)+P8(f139(x5511,x5512))
% 4.73/4.89 [552]~P8(x5522)+~P19(x5522)+P8(f144(x5521,x5522))
% 4.73/4.89 [553]~P19(x5532)+~P19(x5531)+P19(f145(x5531,x5532))
% 4.73/4.89 [557]~P19(x5572)+~P19(x5571)+P19(f143(x5571,x5572))
% 4.73/4.89 [558]~P1(x5582)+~P19(x5581)+P19(f134(x5581,x5582))
% 4.73/4.89 [559]~P1(x5591)+~P19(x5592)+P19(f134(x5591,x5592))
% 4.73/4.89 [560]~P19(x5602)+~P19(x5601)+P19(f134(x5601,x5602))
% 4.73/4.89 [561]~P19(x5611)+~P23(x5611)+P23(f139(x5611,x5612))
% 4.73/4.89 [597]P1(x5971)+P1(x5972)+~P1(f3(x5972,x5971))
% 4.73/4.89 [615]~P19(x6151)+P14(x6151,x6152)+P13(f75(x6151,x6152),x6152)
% 4.73/4.89 [616]~P19(x6161)+P14(x6161,x6162)+P13(f81(x6161,x6162),x6162)
% 4.73/4.89 [617]~P19(x6171)+P15(x6171,x6172)+P13(f82(x6171,x6172),x6172)
% 4.73/4.89 [618]~P19(x6181)+P15(x6181,x6182)+P13(f94(x6181,x6182),x6182)
% 4.73/4.89 [619]~P19(x6191)+P16(x6191,x6192)+P13(f98(x6191,x6192),x6192)
% 4.73/4.89 [620]~P19(x6201)+P16(x6201,x6202)+P13(f104(x6201,x6202),x6202)
% 4.73/4.89 [621]~P19(x6211)+P16(x6211,x6212)+P13(f105(x6211,x6212),x6212)
% 4.73/4.89 [622]~P19(x6221)+P17(x6221,x6222)+P13(f50(x6221,x6222),x6222)
% 4.73/4.89 [623]~P19(x6231)+P18(x6231,x6232)+P24(f70(x6231,x6232),x6232)
% 4.73/4.89 [639]~P19(x6391)+P14(x6391,x6392)+~E(f81(x6391,x6392),f75(x6391,x6392))
% 4.73/4.89 [640]~P19(x6401)+P15(x6401,x6402)+~E(f94(x6401,x6402),f82(x6401,x6402))
% 4.73/4.89 [651]E(f51(x6512,x6511),x6512)+P13(f51(x6512,x6511),x6511)+E(x6511,f149(x6512,x6512))
% 4.73/4.89 [655]P13(x6551,f12(x6552))+P5(x6551,f12(x6552))+~P24(x6551,f12(x6552))
% 4.73/4.89 [656]P13(x6561,f13(x6562))+P5(x6561,f13(x6562))+~P24(x6561,f13(x6562))
% 4.73/4.89 [672]E(x6721,f149(x6722,x6722))+~P24(x6721,f149(x6722,x6722))+E(x6721,a1)
% 4.73/4.89 [674]E(x6741,x6742)+P13(f16(x6741,x6742),x6742)+P13(f16(x6741,x6742),x6741)
% 4.73/4.89 [683]P13(f56(x6832,x6831),x6831)+P24(f56(x6832,x6831),x6832)+E(x6831,f132(x6832))
% 4.73/4.89 [684]P13(f83(x6842,x6841),x6841)+P13(f85(x6842,x6841),x6842)+E(x6841,f142(x6842))
% 4.73/4.89 [715]~E(f51(x7152,x7151),x7152)+~P13(f51(x7152,x7151),x7151)+E(x7151,f149(x7152,x7152))
% 4.73/4.89 [731]P13(f83(x7312,x7311),x7311)+P13(f83(x7312,x7311),f85(x7312,x7311))+E(x7311,f142(x7312))
% 4.73/4.89 [747]E(x7471,x7472)+~P13(f16(x7471,x7472),x7472)+~P13(f16(x7471,x7472),x7471)
% 4.73/4.89 [752]~P13(f56(x7522,x7521),x7521)+~P24(f56(x7522,x7521),x7522)+E(x7521,f132(x7522))
% 4.73/4.89 [638]~P19(x6382)+~P19(x6381)+E(f135(f134(x6381,x6382)),f137(x6382,f135(x6381)))
% 4.73/4.89 [661]E(x6611,a1)+~P2(x6611,f132(f132(x6612)))+~E(f4(x6612,x6611),a1)
% 4.73/4.89 [701]~P19(x7012)+~P19(x7011)+P24(f5(f134(x7011,x7012)),f5(x7011))
% 4.73/4.89 [702]~P19(x7022)+~P19(x7021)+P24(f135(f134(x7021,x7022)),f135(x7022))
% 4.73/4.89 [708]~P19(x7082)+~P19(x7081)+P19(f143(x7081,f143(x7081,x7082)))
% 4.73/4.89 [720]~P8(x7201)+~P19(x7201)+P24(f137(x7201,f141(x7201,x7202)),x7202)
% 4.73/4.89 [750]~P19(x7502)+~P24(x7501,f5(x7502))+P24(x7501,f141(x7502,f137(x7502,x7501)))
% 4.73/4.89 [788]E(x7881,a1)+~P2(x7881,f132(f132(x7882)))+E(f148(x7882,x7882,f133(x7882,x7881)),f150(x7882,f4(x7882,x7881)))
% 4.73/4.89 [789]E(x7891,a1)+~P2(x7891,f132(f132(x7892)))+E(f148(x7892,x7892,f150(x7892,x7891)),f133(x7892,f4(x7892,x7891)))
% 4.73/4.89 [861]~P19(x8611)+~P13(x8612,x8611)+E(f149(f149(f46(x8611,x8612),f48(x8611,x8612)),f149(f46(x8611,x8612),f46(x8611,x8612))),x8612)
% 4.73/4.89 [903]~P19(x9031)+P14(x9031,x9032)+P13(f149(f149(f75(x9031,x9032),f81(x9031,x9032)),f149(f75(x9031,x9032),f75(x9031,x9032))),x9031)
% 4.73/4.89 [904]~P19(x9041)+P14(x9041,x9042)+P13(f149(f149(f81(x9041,x9042),f75(x9041,x9042)),f149(f81(x9041,x9042),f81(x9041,x9042))),x9041)
% 4.73/4.89 [905]~P19(x9051)+P16(x9051,x9052)+P13(f149(f149(f98(x9051,x9052),f104(x9051,x9052)),f149(f98(x9051,x9052),f98(x9051,x9052))),x9051)
% 4.73/4.89 [906]~P19(x9061)+P16(x9061,x9062)+P13(f149(f149(f104(x9061,x9062),f105(x9061,x9062)),f149(f104(x9061,x9062),f104(x9061,x9062))),x9061)
% 4.73/4.89 [921]~P19(x9211)+P15(x9211,x9212)+~P13(f149(f149(f82(x9211,x9212),f94(x9211,x9212)),f149(f82(x9211,x9212),f82(x9211,x9212))),x9211)
% 4.73/4.89 [922]~P19(x9221)+P15(x9221,x9222)+~P13(f149(f149(f94(x9221,x9222),f82(x9221,x9222)),f149(f94(x9221,x9222),f94(x9221,x9222))),x9221)
% 4.73/4.89 [923]~P19(x9231)+P16(x9231,x9232)+~P13(f149(f149(f98(x9231,x9232),f105(x9231,x9232)),f149(f98(x9231,x9232),f98(x9231,x9232))),x9231)
% 4.73/4.89 [924]~P19(x9241)+P17(x9241,x9242)+~P13(f149(f149(f50(x9241,x9242),f50(x9241,x9242)),f149(f50(x9241,x9242),f50(x9241,x9242))),x9241)
% 4.73/4.89 [602]~P24(x6023,x6022)+P13(x6021,x6022)+~P13(x6021,x6023)
% 4.73/4.89 [603]~P24(x6031,x6033)+P24(x6031,x6032)+~P24(x6033,x6032)
% 4.73/4.89 [604]~P7(x6043,x6042)+P7(x6041,x6042)+~P24(x6041,x6043)
% 4.73/4.89 [641]~P13(x6412,x6413)+~P13(x6411,x6412)+~P13(x6413,x6411)
% 4.89/4.89 [642]~P7(x6423,x6422)+~P13(x6421,x6422)+~P13(x6421,x6423)
% 4.89/4.89 [565]~P24(x5651,x5653)+P13(x5651,x5652)+~E(x5652,f132(x5653))
% 4.89/4.89 [566]~P13(x5661,x5663)+P24(x5661,x5662)+~E(x5663,f132(x5662))
% 4.89/4.89 [580]~P13(x5801,x5803)+E(x5801,x5802)+~E(x5803,f149(x5802,x5802))
% 4.89/4.89 [624]~P1(x6241)+~P13(x6242,x6243)+~P2(x6243,f132(x6241))
% 4.89/4.89 [646]P13(x6461,x6462)+~P13(x6461,x6463)+~P2(x6463,f132(x6462))
% 4.89/4.89 [647]P2(x6471,x6472)+~P13(x6471,x6473)+~P2(x6473,f132(x6472))
% 4.89/4.89 [657]~P24(x6571,x6573)+P13(x6571,f12(x6572))+~P13(x6573,f12(x6572))
% 4.89/4.89 [658]~P24(x6581,x6583)+P13(x6581,f13(x6582))+~P13(x6583,f13(x6582))
% 4.89/4.89 [678]~P19(x6782)+P13(x6781,x6782)+~P13(x6781,f140(x6782,x6783))
% 4.89/4.89 [681]~P13(x6812,x6813)+~P13(x6811,x6813)+P24(f149(x6811,x6812),x6813)
% 4.89/4.89 [682]~P24(x6822,x6823)+~P24(x6821,x6823)+P24(f145(x6821,x6822),x6823)
% 4.89/4.89 [704]~P24(x7041,x7043)+~P13(x7043,f13(x7042))+P13(x7041,f40(x7042,x7043))
% 4.89/4.89 [707]~P19(x7071)+~P24(x7072,x7073)+P24(f141(x7071,x7072),f141(x7071,x7073))
% 4.89/4.89 [724]~P13(x7241,x7242)+~P13(x7243,x7242)+~P13(x7243,f24(x7241,x7242))
% 4.89/4.89 [728]~P19(x7283)+~P13(x7281,f140(x7283,x7282))+P13(x7281,f3(x7282,x7282))
% 4.89/4.89 [742]~P13(x7421,x7422)+~P13(x7421,f147(x7423,x7422))+~P2(x7422,f132(x7423))
% 4.89/4.89 [755]~P2(x7553,f132(x7551))+~P2(x7552,f132(x7551))+E(f148(x7551,x7552,x7553),f143(x7552,x7553))
% 4.89/4.89 [777]~P13(x7771,x7773)+~E(x7773,f142(x7772))+P13(x7771,f84(x7772,x7773,x7771))
% 4.89/4.89 [778]~P13(x7783,x7782)+~E(x7782,f142(x7781))+P13(f84(x7781,x7782,x7783),x7781)
% 4.89/4.89 [799]~P19(x7993)+~P13(x7991,f137(x7993,x7992))+P13(f17(x7991,x7992,x7993),x7992)
% 4.89/4.89 [800]~P19(x8003)+~P13(x8001,f141(x8003,x8002))+P13(f18(x8001,x8002,x8003),x8002)
% 4.89/4.89 [801]~P2(x8013,f132(x8011))+~P2(x8012,f132(x8011))+P2(f148(x8011,x8012,x8013),f132(x8011))
% 4.89/4.89 [804]~P19(x8043)+~P13(x8041,f137(x8043,x8042))+P13(f17(x8041,x8042,x8043),f5(x8043))
% 4.89/4.89 [805]~P19(x8053)+~P13(x8051,f141(x8053,x8052))+P13(f18(x8051,x8052,x8053),f135(x8053))
% 4.89/4.89 [834]P13(f62(x8342,x8343,x8341),x8341)+P13(f66(x8342,x8343,x8341),x8342)+E(x8341,f3(x8342,x8343))
% 4.89/4.89 [835]P13(f62(x8352,x8353,x8351),x8351)+P13(f67(x8352,x8353,x8351),x8353)+E(x8351,f3(x8352,x8353))
% 4.89/4.89 [836]P13(f88(x8362,x8363,x8361),x8361)+P13(f88(x8362,x8363,x8361),x8362)+E(x8361,f143(x8362,x8363))
% 4.89/4.89 [857]~E(f58(x8572,x8573,x8571),x8573)+~P13(f58(x8572,x8573,x8571),x8571)+E(x8571,f149(x8572,x8573))
% 4.89/4.89 [858]~E(f58(x8582,x8583,x8581),x8582)+~P13(f58(x8582,x8583,x8581),x8581)+E(x8581,f149(x8582,x8583))
% 4.89/4.89 [865]P13(f88(x8652,x8653,x8651),x8651)+~P13(f88(x8652,x8653,x8651),x8653)+E(x8651,f143(x8652,x8653))
% 4.89/4.89 [879]~P13(f63(x8792,x8793,x8791),x8791)+~P13(f63(x8792,x8793,x8791),x8793)+E(x8791,f145(x8792,x8793))
% 4.89/4.89 [880]~P13(f63(x8802,x8803,x8801),x8801)+~P13(f63(x8802,x8803,x8801),x8802)+E(x8801,f145(x8802,x8803))
% 4.89/4.89 [749]~P24(x7492,x7493)+P13(x7491,x7492)+P24(x7492,f143(x7493,f149(x7491,x7491)))
% 4.89/4.89 [759]P13(x7591,x7592)+~P19(x7593)+~P13(x7591,f5(f139(x7593,x7592)))
% 4.89/4.89 [760]P13(x7601,x7602)+~P19(x7603)+~P13(x7601,f135(f144(x7602,x7603)))
% 4.89/4.89 [764]~P24(x7641,x7643)+~P24(x7641,x7642)+P24(x7641,f143(x7642,f143(x7642,x7643)))
% 4.89/4.89 [767]~P19(x7672)+P13(x7671,f5(x7672))+~P13(x7671,f5(f139(x7672,x7673)))
% 4.89/4.89 [768]~P19(x7682)+P13(x7681,f135(x7682))+~P13(x7681,f135(f144(x7683,x7682)))
% 4.89/4.89 [826]~P19(x8262)+P13(x8261,f5(x8262))+~P13(f149(f149(x8261,x8263),f149(x8261,x8261)),x8262)
% 4.89/4.89 [827]~P19(x8272)+P13(x8271,f138(x8272))+~P13(f149(f149(x8273,x8271),f149(x8273,x8273)),x8272)
% 4.89/4.89 [828]~P19(x8282)+P13(x8281,f138(x8282))+~P13(f149(f149(x8281,x8283),f149(x8281,x8281)),x8282)
% 4.89/4.89 [829]~P19(x8292)+P13(x8291,f135(x8292))+~P13(f149(f149(x8293,x8291),f149(x8293,x8293)),x8292)
% 4.89/4.89 [854]P13(f76(x8542,x8543,x8541),x8541)+P13(f76(x8542,x8543,x8541),x8543)+E(x8541,f143(x8542,f143(x8542,x8543)))
% 4.89/4.89 [855]P13(f76(x8552,x8553,x8551),x8551)+P13(f76(x8552,x8553,x8551),x8552)+E(x8551,f143(x8552,f143(x8552,x8553)))
% 4.89/4.89 [915]~P19(x9153)+~P13(x9151,f141(x9153,x9152))+P13(f149(f149(x9151,f18(x9151,x9152,x9153)),f149(x9151,x9151)),x9153)
% 4.89/4.89 [927]P13(f62(x9272,x9273,x9271),x9271)+E(x9271,f3(x9272,x9273))+E(f149(f149(f66(x9272,x9273,x9271),f67(x9272,x9273,x9271)),f149(f66(x9272,x9273,x9271),f66(x9272,x9273,x9271))),f62(x9272,x9273,x9271))
% 4.89/4.89 [936]~P19(x9363)+~P13(x9361,f137(x9363,x9362))+P13(f149(f149(f17(x9361,x9362,x9363),x9361),f149(f17(x9361,x9362,x9363),f17(x9361,x9362,x9363))),x9363)
% 4.89/4.89 [526]P13(x5261,x5262)+~E(x5261,x5263)+~E(x5262,f149(x5264,x5263))
% 4.89/4.89 [527]P13(x5271,x5272)+~E(x5271,x5273)+~E(x5272,f149(x5273,x5274))
% 4.89/4.89 [579]E(x5791,x5792)+E(x5791,x5793)+~E(f149(x5791,x5794),f149(x5793,x5792))
% 4.89/4.89 [609]~P13(x6091,x6094)+P13(x6091,x6092)+~E(x6092,f145(x6093,x6094))
% 4.89/4.89 [610]~P13(x6101,x6103)+P13(x6101,x6102)+~E(x6102,f145(x6103,x6104))
% 4.89/4.89 [611]~P13(x6111,x6113)+P13(x6111,x6112)+~E(x6113,f143(x6112,x6114))
% 4.89/4.89 [645]~P13(x6454,x6453)+~P13(x6454,x6451)+~E(x6451,f143(x6452,x6453))
% 4.89/4.89 [730]~P24(x7302,x7304)+~P24(x7301,x7303)+P24(f3(x7301,x7302),f3(x7303,x7304))
% 4.89/4.89 [896]~P13(x8964,x8963)+~E(x8963,f3(x8961,x8962))+P13(f64(x8961,x8962,x8963,x8964),x8961)
% 4.89/4.89 [897]~P13(x8974,x8973)+~E(x8973,f3(x8971,x8972))+P13(f65(x8971,x8972,x8973,x8974),x8972)
% 4.89/4.89 [931]~E(f47(x9312,x9313,x9314,x9311),x9314)+~P13(f47(x9312,x9313,x9314,x9311),x9311)+E(x9311,f151(x9312,x9313,x9314))
% 4.89/4.89 [932]~E(f47(x9322,x9323,x9324,x9321),x9323)+~P13(f47(x9322,x9323,x9324,x9321),x9321)+E(x9321,f151(x9322,x9323,x9324))
% 4.89/4.89 [933]~E(f47(x9332,x9333,x9334,x9331),x9332)+~P13(f47(x9332,x9333,x9334,x9331),x9331)+E(x9331,f151(x9332,x9333,x9334))
% 4.89/4.89 [713]~P13(x7131,x7133)+P13(x7131,x7132)+~E(x7133,f143(x7134,f143(x7134,x7132)))
% 4.89/4.89 [813]~P13(x8132,x8134)+~P13(x8131,x8133)+P13(f149(f149(x8131,x8132),f149(x8131,x8131)),f3(x8133,x8134))
% 4.89/4.89 [862]P13(x8621,x8622)+~P19(x8623)+~P13(f149(f149(x8621,x8624),f149(x8621,x8621)),f134(f128(x8622),x8623))
% 4.89/4.89 [887]~P19(x8873)+P13(f149(f149(x8871,x8872),f149(x8871,x8871)),x8873)+~P13(f149(f149(x8871,x8872),f149(x8871,x8871)),f134(f128(x8874),x8873))
% 4.89/4.89 [949]~P13(x9494,x9493)+~E(x9493,f3(x9491,x9492))+E(f149(f149(f64(x9491,x9492,x9493,x9494),f65(x9491,x9492,x9493,x9494)),f149(f64(x9491,x9492,x9493,x9494),f64(x9491,x9492,x9493,x9494))),x9494)
% 4.89/4.89 [716]P13(x7161,x7162)+~E(x7161,x7163)+~E(x7162,f151(x7164,x7165,x7163))
% 4.89/4.89 [717]P13(x7171,x7172)+~E(x7171,x7173)+~E(x7172,f151(x7174,x7173,x7175))
% 4.89/4.89 [718]P13(x7181,x7182)+~E(x7181,x7183)+~E(x7182,f151(x7183,x7184,x7185))
% 4.89/4.89 [476]~P1(x4761)+~P8(x4761)+~P19(x4761)+P12(x4761)
% 4.89/4.89 [483]~P8(x4831)+~P19(x4831)+~P12(x4831)+E(f129(x4831),f136(x4831))
% 4.89/4.89 [487]~P8(x4871)+~P19(x4871)+P12(x4871)+~E(f69(x4871),f97(x4871))
% 4.89/4.89 [488]~P8(x4881)+~P19(x4881)+~P12(x4881)+P8(f136(x4881))
% 4.89/4.89 [490]~P8(x4901)+~P19(x4901)+~P12(x4901)+P12(f129(x4901))
% 4.89/4.89 [567]~P8(x5671)+~P19(x5671)+P12(x5671)+P13(f69(x5671),f5(x5671))
% 4.89/4.89 [568]~P8(x5681)+~P19(x5681)+P12(x5681)+P13(f97(x5681),f5(x5681))
% 4.89/4.89 [500]~P8(x5001)+~P19(x5001)+~P12(x5001)+E(f135(f129(x5001)),f5(x5001))
% 4.89/4.89 [501]~P8(x5011)+~P19(x5011)+~P12(x5011)+E(f5(f129(x5011)),f135(x5011))
% 4.89/4.89 [601]P12(x6011)+~P8(x6011)+~P19(x6011)+E(f2(x6011,f69(x6011)),f2(x6011,f97(x6011)))
% 4.89/4.89 [534]P21(x5342,x5341)+~P11(x5341)+~P11(x5342)+P21(x5341,x5342)
% 4.89/4.89 [582]~P11(x5822)+~P9(x5821)+~P20(x5821,x5822)+P13(x5821,x5822)
% 4.89/4.89 [583]~P11(x5832)+~P11(x5831)+~P24(x5831,x5832)+P21(x5831,x5832)
% 4.89/4.89 [584]~P11(x5842)+~P11(x5841)+~P21(x5841,x5842)+P24(x5841,x5842)
% 4.89/4.89 [478]~P8(x4781)+~P19(x4781)+~E(x4781,f128(x4782))+E(f5(x4781),x4782)
% 4.89/4.89 [614]~P11(x6142)+~P24(x6141,x6142)+E(x6141,a1)+P11(f20(x6141,x6142))
% 4.89/4.89 [629]~P19(x6292)+~P24(x6291,f135(x6292))+E(x6291,a1)+~E(f141(x6292,x6291),a1)
% 4.89/4.89 [630]~P19(x6302)+~P19(x6301)+~P24(x6301,x6302)+P24(f5(x6301),f5(x6302))
% 4.89/4.89 [631]~P19(x6312)+~P19(x6311)+~P24(x6311,x6312)+P24(f135(x6311),f135(x6312))
% 4.89/4.89 [652]~P11(x6522)+~P24(x6521,x6522)+P13(f20(x6521,x6522),x6521)+E(x6521,a1)
% 4.89/4.89 [727]P13(f54(x7271,x7272),x7271)+~P13(f52(x7271,x7272),x7272)+E(x7271,a1)+E(x7272,f146(x7271))
% 4.89/4.89 [741]~P19(x7411)+P25(x7411)+~P7(f130(x7411,x7412),f37(x7411))+~P13(x7412,f37(x7411))
% 4.89/4.89 [791]~P13(f52(x7911,x7912),x7912)+~P13(f52(x7911,x7912),f54(x7911,x7912))+E(x7911,a1)+E(x7912,f146(x7911))
% 4.89/4.89 [686]~P11(x6861)+~P11(x6862)+~P3(x6861)+~E(x6861,f145(x6862,f149(x6862,x6862)))
% 4.89/4.89 [689]~P8(x6891)+~P19(x6891)+~P24(x6892,f135(x6891))+E(f137(x6891,f141(x6891,x6892)),x6892)
% 4.89/4.89 [697]~P19(x6972)+~P19(x6971)+~P24(f135(x6971),f5(x6972))+E(f5(f134(x6971,x6972)),f5(x6971))
% 4.89/4.89 [698]~P19(x6981)+~P19(x6982)+~P24(f5(x6982),f135(x6981))+E(f135(f134(x6981,x6982)),f135(x6982))
% 4.89/4.89 [748]~P11(x7482)+~P11(x7481)+~P13(x7481,x7482)+P21(f145(x7481,f149(x7481,x7481)),x7482)
% 4.89/4.89 [790]~P11(x7902)+~P11(x7901)+P13(x7901,x7902)+~P21(f145(x7901,f149(x7901,x7901)),x7902)
% 4.89/4.89 [798]~P19(x7982)+~P22(x7982)+~P13(x7981,f138(x7982))+P13(f149(f149(x7981,x7981),f149(x7981,x7981)),x7982)
% 4.89/4.89 [907]~P19(x9072)+~P19(x9071)+P24(x9071,x9072)+P13(f149(f149(f72(x9071,x9072),f73(x9071,x9072)),f149(f72(x9071,x9072),f72(x9071,x9072))),x9071)
% 4.89/4.89 [908]~P19(x9081)+E(f49(x9082,x9081),f59(x9082,x9081))+E(x9081,f128(x9082))+P13(f149(f149(f49(x9082,x9081),f59(x9082,x9081)),f149(f49(x9082,x9081),f49(x9082,x9081))),x9081)
% 4.89/4.89 [911]~P19(x9111)+P13(f49(x9112,x9111),x9112)+E(x9111,f128(x9112))+P13(f149(f149(f49(x9112,x9111),f59(x9112,x9111)),f149(f49(x9112,x9111),f49(x9112,x9111))),x9111)
% 4.89/4.89 [912]~P19(x9122)+P13(f78(x9122,x9121),x9121)+E(x9121,f5(x9122))+P13(f149(f149(f78(x9122,x9121),f79(x9122,x9121)),f149(f78(x9122,x9121),f78(x9122,x9121))),x9122)
% 4.89/4.89 [913]~P19(x9132)+P13(f90(x9132,x9131),x9131)+E(x9131,f135(x9132))+P13(f149(f149(f93(x9132,x9131),f90(x9132,x9131)),f149(f93(x9132,x9131),f93(x9132,x9131))),x9132)
% 4.89/4.89 [925]~P19(x9252)+~P19(x9251)+P24(x9251,x9252)+~P13(f149(f149(f72(x9251,x9252),f73(x9251,x9252)),f149(f72(x9251,x9252),f72(x9251,x9252))),x9252)
% 4.89/4.89 [746]~P7(x7461,x7463)+~P2(x7463,f132(x7462))+~P2(x7461,f132(x7462))+P24(x7461,f147(x7462,x7463))
% 4.89/4.89 [756]~P19(x7562)+~P13(x7561,x7562)+~P13(x7561,f3(x7563,x7563))+P13(x7561,f140(x7562,x7563))
% 4.89/4.89 [771]P7(x7711,x7712)+~P24(x7711,f147(x7713,x7712))+~P2(x7712,f132(x7713))+~P2(x7711,f132(x7713))
% 4.89/4.89 [772]P13(x7722,x7723)+P13(f53(x7721,x7723,x7722),x7721)+~E(x7723,f146(x7721))+E(x7721,a1)
% 4.89/4.89 [779]~P13(x7793,x7792)+~P13(f83(x7792,x7791),x7793)+~P13(f83(x7792,x7791),x7791)+E(x7791,f142(x7792))
% 4.89/4.89 [796]~P19(x7961)+P18(x7961,x7962)+~P7(f130(x7961,x7963),f70(x7961,x7962))+~P13(x7963,f70(x7961,x7962))
% 4.89/4.89 [811]P13(x8112,x8113)+~E(x8113,f146(x8111))+~P13(x8112,f53(x8111,x8113,x8112))+E(x8111,a1)
% 4.89/4.89 [819]E(f58(x8192,x8193,x8191),x8193)+E(f58(x8192,x8193,x8191),x8192)+P13(f58(x8192,x8193,x8191),x8191)+E(x8191,f149(x8192,x8193))
% 4.89/4.89 [840]~P19(x8402)+P13(f41(x8402,x8403,x8401),x8401)+P13(f42(x8402,x8403,x8401),x8403)+E(x8401,f137(x8402,x8403))
% 4.89/4.89 [841]~P19(x8412)+P13(f43(x8412,x8413,x8411),x8411)+P13(f45(x8412,x8413,x8411),x8413)+E(x8411,f141(x8412,x8413))
% 4.89/4.89 [871]P13(f63(x8712,x8713,x8711),x8711)+P13(f63(x8712,x8713,x8711),x8713)+P13(f63(x8712,x8713,x8711),x8712)+E(x8711,f145(x8712,x8713))
% 4.89/4.89 [893]P13(f88(x8932,x8933,x8931),x8933)+~P13(f88(x8932,x8933,x8931),x8931)+~P13(f88(x8932,x8933,x8931),x8932)+E(x8931,f143(x8932,x8933))
% 4.89/4.89 [699]~P8(x6991)+~P19(x6991)+~P13(x6993,x6992)+E(f2(f139(x6991,x6992),x6993),f2(x6991,x6993))
% 4.89/4.89 [757]~P19(x7572)+~P13(x7571,x7573)+~P13(x7571,f5(x7572))+P13(x7571,f5(f139(x7572,x7573)))
% 4.89/4.89 [758]~P19(x7583)+~P13(x7581,x7582)+~P13(x7581,f135(x7583))+P13(x7581,f135(f144(x7582,x7583)))
% 4.89/4.89 [793]~P8(x7931)+~P19(x7931)+E(f2(f139(x7931,x7932),x7933),f2(x7931,x7933))+~P13(x7933,f5(f139(x7931,x7932)))
% 4.89/4.89 [803]~P19(x8032)+~P17(x8032,x8033)+~P13(x8031,x8033)+P13(f149(f149(x8031,x8031),f149(x8031,x8031)),x8032)
% 4.89/4.89 [818]P2(f106(x8182,x8183,x8181),f132(x8182))+E(x8181,f4(x8182,x8183))+~P2(x8181,f132(f132(x8182)))+~P2(x8183,f132(f132(x8182)))
% 4.89/4.89 [830]~P8(x8302)+~P19(x8302)+E(x8301,f2(x8302,x8303))+~P13(f149(f149(x8303,x8301),f149(x8303,x8303)),x8302)
% 4.89/4.89 [890]~P19(x8902)+~P13(f90(x8902,x8901),x8901)+E(x8901,f135(x8902))+~P13(f149(f149(x8903,f90(x8902,x8901)),f149(x8903,x8903)),x8902)
% 4.89/4.89 [909]~P19(x9092)+~P13(x9091,x9093)+~E(x9093,f5(x9092))+P13(f149(f149(x9091,f77(x9092,x9093,x9091)),f149(x9091,x9091)),x9092)
% 4.89/4.89 [914]~P13(f76(x9142,x9143,x9141),x9141)+~P13(f76(x9142,x9143,x9141),x9143)+~P13(f76(x9142,x9143,x9141),x9142)+E(x9141,f143(x9142,f143(x9142,x9143)))
% 4.89/4.89 [919]~P19(x9192)+~P13(f78(x9192,x9191),x9191)+E(x9191,f5(x9192))+~P13(f149(f149(f78(x9192,x9191),x9193),f149(f78(x9192,x9191),f78(x9192,x9191))),x9192)
% 4.89/4.89 [935]~P19(x9351)+~P13(x9353,x9352)+~E(x9352,f135(x9351))+P13(f149(f149(f92(x9351,x9352,x9353),x9353),f149(f92(x9351,x9352,x9353),f92(x9351,x9352,x9353))),x9351)
% 4.89/4.89 [939]~P19(x9392)+P13(f41(x9392,x9393,x9391),x9391)+E(x9391,f137(x9392,x9393))+P13(f149(f149(f42(x9392,x9393,x9391),f41(x9392,x9393,x9391)),f149(f42(x9392,x9393,x9391),f42(x9392,x9393,x9391))),x9392)
% 4.89/4.89 [940]~P19(x9402)+P13(f43(x9402,x9403,x9401),x9401)+E(x9401,f141(x9402,x9403))+P13(f149(f149(f43(x9402,x9403,x9401),f45(x9402,x9403,x9401)),f149(f43(x9402,x9403,x9401),f43(x9402,x9403,x9401))),x9402)
% 4.89/4.89 [581]~P13(x5811,x5814)+E(x5811,x5812)+E(x5811,x5813)+~E(x5814,f149(x5813,x5812))
% 4.89/4.89 [643]~P13(x6431,x6434)+P13(x6431,x6432)+~P13(x6434,x6433)+~E(x6432,f142(x6433))
% 4.89/4.89 [659]~P13(x6591,x6594)+P13(x6591,x6592)+P13(x6591,x6593)+~E(x6592,f143(x6594,x6593))
% 4.89/4.89 [660]~P13(x6601,x6604)+P13(x6601,x6602)+P13(x6601,x6603)+~E(x6604,f145(x6603,x6602))
% 4.89/4.89 [898]~P19(x8981)+~P13(x8984,x8983)+~E(x8983,f137(x8981,x8982))+P13(f33(x8981,x8982,x8983,x8984),x8982)
% 4.89/4.89 [899]~P19(x8991)+~P13(x8994,x8993)+~E(x8993,f141(x8991,x8992))+P13(f44(x8991,x8992,x8993,x8994),x8992)
% 4.89/4.89 [745]~P13(x7451,x7454)+~P13(x7451,x7453)+P13(x7451,x7452)+~E(x7452,f143(x7453,f143(x7453,x7454)))
% 4.89/4.89 [817]~P19(x8173)+E(x8171,x8172)+~E(x8173,f128(x8174))+~P13(f149(f149(x8171,x8172),f149(x8171,x8171)),x8173)
% 4.89/4.89 [831]~P19(x8313)+P13(x8311,x8312)+~E(x8312,f135(x8313))+~P13(f149(f149(x8314,x8311),f149(x8314,x8314)),x8313)
% 4.89/4.89 [832]~P19(x8323)+P13(x8321,x8322)+~E(x8322,f5(x8323))+~P13(f149(f149(x8321,x8324),f149(x8321,x8321)),x8323)
% 4.89/4.89 [833]~P19(x8333)+P13(x8331,x8332)+~E(x8333,f128(x8332))+~P13(f149(f149(x8331,x8334),f149(x8331,x8331)),x8333)
% 4.89/4.89 [888]~P19(x8884)+~P13(x8881,x8883)+~P13(f149(f149(x8881,x8882),f149(x8881,x8881)),x8884)+P13(f149(f149(x8881,x8882),f149(x8881,x8881)),f134(f128(x8883),x8884))
% 4.89/4.89 [943]~P19(x9432)+~P13(x9431,x9434)+~E(x9434,f141(x9432,x9433))+P13(f149(f149(x9431,f44(x9432,x9433,x9434,x9431)),f149(x9431,x9431)),x9432)
% 4.89/4.89 [953]~P19(x9531)+~P13(x9534,x9533)+~E(x9533,f137(x9531,x9532))+P13(f149(f149(f33(x9531,x9532,x9533,x9534),x9534),f149(f33(x9531,x9532,x9533,x9534),f33(x9531,x9532,x9533,x9534))),x9531)
% 4.89/4.89 [569]P13(x5692,x5691)+P13(x5691,x5692)+~P11(x5692)+~P11(x5691)+E(x5691,x5692)
% 4.89/4.89 [599]~P8(x5992)+~P8(x5991)+~P19(x5992)+~P19(x5991)+P8(f134(x5991,x5992))
% 4.89/4.89 [644]~P8(x6441)+~P19(x6441)+P13(f21(x6442,x6441),x6442)+~E(f5(x6441),x6442)+E(x6441,f128(x6442))
% 4.89/4.89 [690]~P19(x6902)+~P25(x6902)+~P24(x6901,f138(x6902))+P13(f57(x6902,x6901),x6901)+E(x6901,a1)
% 4.89/4.89 [721]~P8(x7212)+~P19(x7212)+P13(f86(x7212,x7211),x7211)+P13(f89(x7212,x7211),f5(x7212))+E(x7211,f135(x7212))
% 4.89/4.89 [733]~P8(x7331)+~P19(x7331)+~E(f5(x7331),x7332)+E(x7331,f128(x7332))+~E(f2(x7331,f21(x7332,x7331)),f21(x7332,x7331))
% 4.89/4.89 [735]~P8(x7352)+~P19(x7352)+P13(f86(x7352,x7351),x7351)+E(x7351,f135(x7352))+E(f2(x7352,f89(x7352,x7351)),f86(x7352,x7351))
% 4.89/4.89 [762]~P11(x7621)+~P11(x7622)+~P3(x7622)+~P13(x7621,x7622)+P13(f145(x7621,f149(x7621,x7621)),x7622)
% 4.89/4.89 [765]~P19(x7652)+~P25(x7652)+~P24(x7651,f138(x7652))+E(x7651,a1)+P7(f130(x7652,f57(x7652,x7651)),x7651)
% 4.89/4.89 [722]~P8(x7221)+~P19(x7221)+~P12(x7221)+~P13(x7222,f135(x7221))+E(f2(x7221,f2(f129(x7221),x7222)),x7222)
% 4.89/4.89 [723]~P8(x7231)+~P19(x7231)+~P12(x7231)+~P13(x7232,f135(x7231))+E(f2(f134(f129(x7231),x7231),x7232),x7232)
% 4.89/4.89 [926]~P19(x9261)+~E(f49(x9262,x9261),f59(x9262,x9261))+~P13(f49(x9262,x9261),x9262)+E(x9261,f128(x9262))+~P13(f149(f149(f49(x9262,x9261),f59(x9262,x9261)),f149(f49(x9262,x9261),f49(x9262,x9261))),x9261)
% 4.89/4.89 [929]~P19(x9292)+~P19(x9291)+E(x9291,x9292)+P13(f149(f149(f60(x9291,x9292),f61(x9291,x9292)),f149(f60(x9291,x9292),f60(x9291,x9292))),x9292)+P13(f149(f149(f60(x9291,x9292),f61(x9291,x9292)),f149(f60(x9291,x9292),f60(x9291,x9292))),x9291)
% 4.89/4.89 [930]~P19(x9301)+~P19(x9302)+E(x9301,f136(x9302))+P13(f149(f149(f95(x9302,x9301),f96(x9302,x9301)),f149(f95(x9302,x9301),f95(x9302,x9301))),x9301)+P13(f149(f149(f96(x9302,x9301),f95(x9302,x9301)),f149(f96(x9302,x9301),f96(x9302,x9301))),x9302)
% 4.89/4.89 [937]~P19(x9372)+~P19(x9371)+E(x9371,x9372)+~P13(f149(f149(f60(x9371,x9372),f61(x9371,x9372)),f149(f60(x9371,x9372),f60(x9371,x9372))),x9372)+~P13(f149(f149(f60(x9371,x9372),f61(x9371,x9372)),f149(f60(x9371,x9372),f60(x9371,x9372))),x9371)
% 4.89/4.89 [938]~P19(x9381)+~P19(x9382)+E(x9381,f136(x9382))+~P13(f149(f149(f95(x9382,x9381),f96(x9382,x9381)),f149(f95(x9382,x9381),f95(x9382,x9381))),x9381)+~P13(f149(f149(f96(x9382,x9381),f95(x9382,x9381)),f149(f96(x9382,x9381),f96(x9382,x9381))),x9382)
% 4.89/4.89 [587]~P8(x5872)+~P19(x5872)+P13(x5873,f5(x5872))+~E(x5871,a1)+E(x5871,f2(x5872,x5873))
% 4.89/4.89 [605]~P8(x6053)+~P19(x6053)+~E(x6051,f2(x6053,x6052))+E(x6051,a1)+P13(x6052,f5(x6053))
% 4.89/4.89 [607]~P8(x6071)+~P19(x6071)+~P13(x6072,x6073)+E(f2(x6071,x6072),x6072)+~E(x6071,f128(x6073))
% 4.89/4.89 [726]~P13(x7263,x7261)+P13(f52(x7261,x7262),x7262)+E(x7261,a1)+E(x7262,f146(x7261))+P13(f52(x7261,x7262),x7263)
% 4.89/4.89 [729]~P2(x7292,x7291)+P13(x7292,x7293)+P13(x7292,f147(x7291,x7293))+~P2(x7293,f132(x7291))+E(x7291,a1)
% 4.89/4.89 [787]~P8(x7871)+~P19(x7871)+~P13(x7873,x7872)+~E(x7872,f135(x7871))+P13(f87(x7871,x7872,x7873),f5(x7871))
% 4.89/4.89 [792]~P19(x7922)+~P24(x7921,x7923)+~P18(x7922,x7923)+P13(f74(x7922,x7923,x7921),x7921)+E(x7921,a1)
% 4.89/4.89 [845]~P8(x8452)+~P19(x8452)+P13(f99(x8452,x8453,x8451),x8451)+P13(f109(x8452,x8453,x8451),x8453)+E(x8451,f137(x8452,x8453))
% 4.89/4.89 [846]~P8(x8462)+~P19(x8462)+P13(f99(x8462,x8463,x8461),x8461)+P13(f109(x8462,x8463,x8461),f5(x8462))+E(x8461,f137(x8462,x8463))
% 4.89/4.89 [847]~P8(x8472)+~P19(x8472)+P13(f22(x8472,x8473,x8471),x8471)+P13(f22(x8472,x8473,x8471),f5(x8472))+E(x8471,f141(x8472,x8473))
% 4.89/4.89 [785]~P8(x7851)+~P19(x7851)+~P13(x7853,x7852)+~E(x7852,f135(x7851))+E(f2(x7851,f87(x7851,x7852,x7853)),x7853)
% 4.89/4.89 [810]~P8(x8103)+~P19(x8103)+~E(x8102,f2(x8103,x8101))+~P13(x8101,f5(x8103))+P13(f149(f149(x8101,x8102),f149(x8101,x8101)),x8103)
% 4.89/4.89 [863]~P19(x8632)+~P24(x8631,x8633)+~P18(x8632,x8633)+E(x8631,a1)+P7(f130(x8632,f74(x8632,x8633,x8631)),x8631)
% 4.89/4.89 [864]~P8(x8642)+~P19(x8642)+P13(f99(x8642,x8643,x8641),x8641)+E(x8641,f137(x8642,x8643))+E(f2(x8642,f109(x8642,x8643,x8641)),f99(x8642,x8643,x8641))
% 4.89/4.89 [881]~P8(x8812)+~P19(x8812)+P13(f22(x8812,x8813,x8811),x8811)+E(x8811,f141(x8812,x8813))+P13(f2(x8812,f22(x8812,x8813,x8811)),x8813)
% 4.89/4.89 [891]~P4(x8913)+E(x8911,x8912)+~P19(x8913)+~P13(f149(f149(x8912,x8911),f149(x8912,x8912)),x8913)+~P13(f149(f149(x8911,x8912),f149(x8911,x8911)),x8913)
% 4.89/4.89 [892]P13(f106(x8922,x8923,x8921),x8921)+E(x8921,f4(x8922,x8923))+P13(f147(x8922,f106(x8922,x8923,x8921)),x8923)+~P2(x8921,f132(f132(x8922)))+~P2(x8923,f132(f132(x8922)))
% 4.89/4.89 [918]~P13(f106(x9182,x9183,x9181),x9181)+E(x9181,f4(x9182,x9183))+~P2(x9181,f132(f132(x9182)))+~P2(x9183,f132(f132(x9182)))+~P13(f147(x9182,f106(x9182,x9183,x9181)),x9183)
% 4.89/4.89 [941]~P19(x9411)+~P19(x9412)+P13(f68(x9412,x9413,x9411),x9413)+E(x9411,f139(x9412,x9413))+P13(f149(f149(f68(x9412,x9413,x9411),f80(x9412,x9413,x9411)),f149(f68(x9412,x9413,x9411),f68(x9412,x9413,x9411))),x9411)
% 4.89/4.89 [942]~P19(x9421)+~P19(x9423)+P13(f131(x9422,x9423,x9421),x9422)+E(x9421,f144(x9422,x9423))+P13(f149(f149(f119(x9422,x9423,x9421),f131(x9422,x9423,x9421)),f149(f119(x9422,x9423,x9421),f119(x9422,x9423,x9421))),x9421)
% 4.89/4.89 [945]~P19(x9451)+~P19(x9452)+E(x9451,f139(x9452,x9453))+P13(f149(f149(f68(x9452,x9453,x9451),f80(x9452,x9453,x9451)),f149(f68(x9452,x9453,x9451),f68(x9452,x9453,x9451))),x9451)+P13(f149(f149(f68(x9452,x9453,x9451),f80(x9452,x9453,x9451)),f149(f68(x9452,x9453,x9451),f68(x9452,x9453,x9451))),x9452)
% 4.89/4.89 [946]~P19(x9461)+~P19(x9463)+E(x9461,f144(x9462,x9463))+P13(f149(f149(f119(x9462,x9463,x9461),f131(x9462,x9463,x9461)),f149(f119(x9462,x9463,x9461),f119(x9462,x9463,x9461))),x9461)+P13(f149(f149(f119(x9462,x9463,x9461),f131(x9462,x9463,x9461)),f149(f119(x9462,x9463,x9461),f119(x9462,x9463,x9461))),x9463)
% 4.89/4.89 [650]~P13(x6503,x6501)+~P13(x6502,x6504)+P13(x6502,x6503)+E(x6501,a1)+~E(x6504,f146(x6501))
% 4.89/4.89 [673]~P8(x6732)+~P19(x6732)+~P13(x6731,x6733)+P13(x6731,f5(x6732))+~E(x6733,f141(x6732,x6734))
% 4.89/4.89 [711]~P8(x7111)+~P19(x7111)+~P13(x7112,x7114)+P13(f2(x7111,x7112),x7113)+~E(x7114,f141(x7111,x7113))
% 4.89/4.89 [900]~P8(x9001)+~P19(x9001)+~P13(x9004,x9003)+~E(x9003,f137(x9001,x9002))+P13(f91(x9001,x9002,x9003,x9004),x9002)
% 4.89/4.89 [902]~P8(x9021)+~P19(x9021)+~P13(x9024,x9023)+~E(x9023,f137(x9021,x9022))+P13(f91(x9021,x9022,x9023,x9024),f5(x9021))
% 4.89/4.89 [934]E(f47(x9342,x9343,x9344,x9341),x9344)+E(f47(x9342,x9343,x9344,x9341),x9343)+E(f47(x9342,x9343,x9344,x9341),x9342)+P13(f47(x9342,x9343,x9344,x9341),x9341)+E(x9341,f151(x9342,x9343,x9344))
% 4.89/4.89 [794]~E(x7941,x7942)+~P19(x7943)+~P13(x7941,x7944)+~E(x7943,f128(x7944))+P13(f149(f149(x7941,x7942),f149(x7941,x7941)),x7943)
% 4.89/4.89 [866]~P19(x8662)+~P13(x8664,x8663)+~P13(x8664,f5(x8662))+P13(x8661,f137(x8662,x8663))+~P13(f149(f149(x8664,x8661),f149(x8664,x8664)),x8662)
% 4.89/4.89 [867]~P19(x8672)+~P13(x8674,x8673)+~P13(x8674,f135(x8672))+P13(x8671,f141(x8672,x8673))+~P13(f149(f149(x8671,x8674),f149(x8671,x8671)),x8672)
% 4.89/4.89 [877]~P19(x8773)+~P19(x8774)+~E(x8773,f136(x8774))+~P13(f149(f149(x8772,x8771),f149(x8772,x8772)),x8774)+P13(f149(f149(x8771,x8772),f149(x8771,x8771)),x8773)
% 4.89/4.89 [878]~P19(x8783)+~P19(x8784)+~E(x8784,f136(x8783))+~P13(f149(f149(x8782,x8781),f149(x8782,x8782)),x8784)+P13(f149(f149(x8781,x8782),f149(x8781,x8781)),x8783)
% 4.89/4.89 [901]~P8(x9011)+~P19(x9011)+~P13(x9014,x9013)+~E(x9013,f137(x9011,x9012))+E(f2(x9011,f91(x9011,x9012,x9013,x9014)),x9014)
% 4.89/4.89 [910]~P19(x9103)+~P26(x9103)+~P13(f149(f149(x9101,x9104),f149(x9101,x9101)),x9103)+P13(f149(f149(x9101,x9102),f149(x9101,x9101)),x9103)+~P13(f149(f149(x9104,x9102),f149(x9104,x9104)),x9103)
% 4.89/4.89 [928]~P19(x9282)+~P13(x9284,x9283)+~P13(f41(x9282,x9283,x9281),x9281)+E(x9281,f137(x9282,x9283))+~P13(f149(f149(x9284,f41(x9282,x9283,x9281)),f149(x9284,x9284)),x9282)
% 4.89/4.89 [944]~P19(x9442)+~P13(x9444,x9443)+~P13(f43(x9442,x9443,x9441),x9441)+E(x9441,f141(x9442,x9443))+~P13(f149(f149(f43(x9442,x9443,x9441),x9444),f149(f43(x9442,x9443,x9441),f43(x9442,x9443,x9441))),x9442)
% 4.89/4.89 [740]~P13(x7401,x7405)+E(x7401,x7402)+E(x7401,x7403)+E(x7401,x7404)+~E(x7405,f151(x7404,x7403,x7402))
% 4.89/4.89 [848]~P19(x8484)+~P19(x8483)+P13(x8481,x8482)+~E(x8483,f139(x8484,x8482))+~P13(f149(f149(x8481,x8485),f149(x8481,x8481)),x8483)
% 4.89/4.89 [849]~P19(x8494)+~P19(x8493)+P13(x8491,x8492)+~E(x8493,f144(x8492,x8494))+~P13(f149(f149(x8495,x8491),f149(x8495,x8495)),x8493)
% 4.89/4.89 [859]~P19(x8593)+P13(x8591,x8592)+~P13(x8595,x8594)+~E(x8592,f137(x8593,x8594))+~P13(f149(f149(x8595,x8591),f149(x8595,x8595)),x8593)
% 4.89/4.89 [860]~P19(x8603)+P13(x8601,x8602)+~P13(x8605,x8604)+~E(x8602,f141(x8603,x8604))+~P13(f149(f149(x8601,x8605),f149(x8601,x8601)),x8603)
% 4.89/4.89 [883]~P19(x8834)+~P19(x8833)+~E(x8834,f139(x8833,x8835))+~P13(f149(f149(x8831,x8832),f149(x8831,x8831)),x8834)+P13(f149(f149(x8831,x8832),f149(x8831,x8831)),x8833)
% 4.89/4.89 [884]~P19(x8844)+~P19(x8843)+~E(x8844,f144(x8845,x8843))+~P13(f149(f149(x8841,x8842),f149(x8841,x8841)),x8844)+P13(f149(f149(x8841,x8842),f149(x8841,x8841)),x8843)
% 4.89/4.89 [889]~P13(x8895,x8893)+~P13(x8894,x8892)+~P13(f62(x8892,x8893,x8891),x8891)+E(x8891,f3(x8892,x8893))+~E(f62(x8892,x8893,x8891),f149(f149(x8894,x8895),f149(x8894,x8894)))
% 4.89/4.89 [797]~P13(x7976,x7974)+~P13(x7975,x7973)+P13(x7971,x7972)+~E(x7972,f3(x7973,x7974))+~E(x7971,f149(f149(x7975,x7976),f149(x7975,x7975)))
% 4.89/4.89 [676]P13(x6762,x6761)+P13(x6761,x6762)+~P13(x6762,x6763)+~P13(x6761,x6763)+E(x6761,x6762)+~P10(x6763)
% 4.89/4.89 [712]~P11(x7122)+~P11(x7123)+~P13(x7123,x7121)+~P24(x7121,x7122)+E(x7121,a1)+P21(f20(x7121,x7122),x7123)
% 4.89/4.89 [782]~P8(x7822)+~P19(x7822)+~P13(x7823,f5(x7822))+~P13(f86(x7822,x7821),x7821)+~E(f86(x7822,x7821),f2(x7822,x7823))+E(x7821,f135(x7822))
% 4.89/4.89 [766]~P8(x7662)+~P8(x7661)+~P19(x7662)+~P19(x7661)+~P13(x7663,f5(x7661))+E(f2(f134(x7661,x7662),x7663),f2(x7662,f2(x7661,x7663)))
% 4.89/4.89 [784]~P8(x7842)+~P19(x7843)+~P19(x7842)+~P8(x7843)+P13(x7841,f5(x7842))+~P13(x7841,f5(f134(x7842,x7843)))
% 4.89/4.89 [795]~P8(x7953)+~P8(x7951)+~P19(x7953)+~P19(x7951)+P13(f2(x7951,x7952),f5(x7953))+~P13(x7952,f5(f134(x7951,x7953)))
% 4.89/4.89 [815]~P8(x8151)+~P8(x8152)+~P19(x8151)+~P19(x8152)+E(f2(f134(x8151,x8152),x8153),f2(x8152,f2(x8151,x8153)))+~P13(x8153,f5(f134(x8151,x8152)))
% 4.89/4.89 [920]~P8(x9202)+~P19(x9202)+~P13(f22(x9202,x9203,x9201),x9201)+~P13(f22(x9202,x9203,x9201),f5(x9202))+E(x9201,f141(x9202,x9203))+~P13(f2(x9202,f22(x9202,x9203,x9201)),x9203)
% 4.89/4.89 [737]~P8(x7372)+~P8(x7371)+~P19(x7372)+~P19(x7371)+~E(x7371,f139(x7372,x7373))+E(f5(x7371),f143(f5(x7372),f143(f5(x7372),x7373)))
% 4.89/4.89 [947]~P19(x9471)+~P19(x9473)+~P19(x9472)+E(x9471,f134(x9472,x9473))+P13(f149(f149(f101(x9472,x9473,x9471),f102(x9472,x9473,x9471)),f149(f101(x9472,x9473,x9471),f101(x9472,x9473,x9471))),x9471)+P13(f149(f149(f101(x9472,x9473,x9471),f103(x9472,x9473,x9471)),f149(f101(x9472,x9473,x9471),f101(x9472,x9473,x9471))),x9472)
% 4.89/4.89 [948]~P19(x9481)+~P19(x9483)+~P19(x9482)+E(x9481,f134(x9482,x9483))+P13(f149(f149(f101(x9482,x9483,x9481),f102(x9482,x9483,x9481)),f149(f101(x9482,x9483,x9481),f101(x9482,x9483,x9481))),x9481)+P13(f149(f149(f103(x9482,x9483,x9481),f102(x9482,x9483,x9481)),f149(f103(x9482,x9483,x9481),f103(x9482,x9483,x9481))),x9483)
% 4.89/4.89 [950]~P19(x9501)+~P19(x9502)+~P13(f68(x9502,x9503,x9501),x9503)+E(x9501,f139(x9502,x9503))+~P13(f149(f149(f68(x9502,x9503,x9501),f80(x9502,x9503,x9501)),f149(f68(x9502,x9503,x9501),f68(x9502,x9503,x9501))),x9501)+~P13(f149(f149(f68(x9502,x9503,x9501),f80(x9502,x9503,x9501)),f149(f68(x9502,x9503,x9501),f68(x9502,x9503,x9501))),x9502)
% 4.89/4.89 [951]~P19(x9511)+~P19(x9513)+~P13(f131(x9512,x9513,x9511),x9512)+E(x9511,f144(x9512,x9513))+~P13(f149(f149(f119(x9512,x9513,x9511),f131(x9512,x9513,x9511)),f149(f119(x9512,x9513,x9511),f119(x9512,x9513,x9511))),x9511)+~P13(f149(f149(f119(x9512,x9513,x9511),f131(x9512,x9513,x9511)),f149(f119(x9512,x9513,x9511),f119(x9512,x9513,x9511))),x9513)
% 4.89/4.89 [703]~P8(x7033)+~P19(x7033)+P13(x7031,x7032)+~P13(x7034,f5(x7033))+~E(x7031,f2(x7033,x7034))+~E(x7032,f135(x7033))
% 4.89/4.89 [774]~P8(x7743)+~P19(x7743)+P13(x7741,x7742)+~P13(x7741,f5(x7743))+~P13(f2(x7743,x7741),x7744)+~E(x7742,f141(x7743,x7744))
% 4.89/4.89 [814]~P13(x8142,x8144)+~P2(x8142,f132(x8141))+P13(f147(x8141,x8142),x8143)+~E(x8144,f4(x8141,x8143))+~P2(x8143,f132(f132(x8141)))+~P2(x8144,f132(f132(x8141)))
% 4.89/4.89 [816]P13(x8161,x8162)+~P2(x8161,f132(x8163))+~P13(f147(x8163,x8161),x8164)+~E(x8162,f4(x8163,x8164))+~P2(x8162,f132(f132(x8163)))+~P2(x8164,f132(f132(x8163)))
% 4.89/4.89 [885]~P19(x8853)+~P19(x8855)+~P13(x8852,x8854)+~E(x8853,f144(x8854,x8855))+~P13(f149(f149(x8851,x8852),f149(x8851,x8851)),x8855)+P13(f149(f149(x8851,x8852),f149(x8851,x8851)),x8853)
% 4.89/4.89 [886]~P19(x8863)+~P19(x8864)+~P13(x8861,x8865)+~E(x8863,f139(x8864,x8865))+~P13(f149(f149(x8861,x8862),f149(x8861,x8861)),x8864)+P13(f149(f149(x8861,x8862),f149(x8861,x8861)),x8863)
% 4.89/4.89 [954]~P19(x9544)+~P19(x9543)+~P19(x9542)+~E(x9544,f134(x9542,x9543))+~P13(f149(f149(x9541,x9545),f149(x9541,x9541)),x9544)+P13(f149(f149(x9541,f100(x9542,x9543,x9544,x9541,x9545)),f149(x9541,x9541)),x9542)
% 4.89/4.89 [955]~P19(x9553)+~P19(x9552)+~P19(x9551)+~E(x9553,f134(x9551,x9552))+~P13(f149(f149(x9554,x9555),f149(x9554,x9554)),x9553)+P13(f149(f149(f100(x9551,x9552,x9553,x9554,x9555),x9555),f149(f100(x9551,x9552,x9553,x9554,x9555),f100(x9551,x9552,x9553,x9554,x9555))),x9552)
% 4.89/4.89 [577]~P19(x5771)+~P4(x5771)+~P6(x5771)+~P26(x5771)+~P25(x5771)+~P22(x5771)+P27(x5771)
% 4.89/4.89 [761]~P19(x7611)+~P14(x7611,x7612)+~P15(x7611,x7612)+~P16(x7611,x7612)+~P17(x7611,x7612)+~P18(x7611,x7612)+P28(x7611,x7612)
% 4.89/4.89 [588]~P8(x5881)+~P8(x5882)+~P19(x5881)+~P19(x5882)+~P12(x5881)+~E(x5882,f129(x5881))+E(f135(x5881),f5(x5882))
% 4.89/4.89 [754]~P8(x7543)+~P19(x7543)+~P12(x7543)+E(x7541,x7542)+~P13(x7542,f5(x7543))+~P13(x7541,f5(x7543))+~E(f2(x7543,x7541),f2(x7543,x7542))
% 4.89/4.89 [806]~P8(x8063)+~P8(x8062)+~P19(x8063)+~P19(x8062)+~P13(x8061,f5(x8062))+~P13(f2(x8062,x8061),f5(x8063))+P13(x8061,f5(f134(x8062,x8063)))
% 4.89/4.89 [869]~P19(x8693)+~P6(x8693)+E(x8691,x8692)+~P13(x8692,f138(x8693))+~P13(x8691,f138(x8693))+P13(f149(f149(x8691,x8692),f149(x8691,x8691)),x8693)+P13(f149(f149(x8692,x8691),f149(x8692,x8692)),x8693)
% 4.89/4.89 [844]~P8(x8442)+~P8(x8441)+~P19(x8442)+~P19(x8441)+P13(f32(x8443,x8441,x8442),f5(x8441))+E(x8441,f139(x8442,x8443))+~E(f5(x8441),f143(f5(x8442),f143(f5(x8442),x8443)))
% 4.89/4.89 [894]~P8(x8942)+~P8(x8941)+~P19(x8942)+~P19(x8941)+E(x8941,f139(x8942,x8943))+~E(f2(x8941,f32(x8943,x8941,x8942)),f2(x8942,f32(x8943,x8941,x8942)))+~E(f5(x8941),f143(f5(x8942),f143(f5(x8942),x8943)))
% 4.89/4.89 [734]~P8(x7343)+~P8(x7341)+~P19(x7343)+~P19(x7341)+~P13(x7342,f5(x7341))+E(f2(x7341,x7342),f2(x7343,x7342))+~E(x7341,f139(x7343,x7344))
% 4.89/4.89 [872]~P8(x8722)+~P19(x8722)+~P13(x8724,x8723)+~P13(x8724,f5(x8722))+~P13(f99(x8722,x8723,x8721),x8721)+~E(f99(x8722,x8723,x8721),f2(x8722,x8724))+E(x8721,f137(x8722,x8723))
% 4.89/4.89 [868]~P19(x8683)+~P13(x8681,x8684)+~P15(x8683,x8684)+E(x8681,x8682)+~P13(x8682,x8684)+P13(f149(f149(x8681,x8682),f149(x8681,x8681)),x8683)+P13(f149(f149(x8682,x8681),f149(x8682,x8682)),x8683)
% 4.89/4.89 [895]~P13(x8951,x8954)+~P14(x8953,x8954)+E(x8951,x8952)+~P13(x8952,x8954)+~P19(x8953)+~P13(f149(f149(x8952,x8951),f149(x8952,x8952)),x8953)+~P13(f149(f149(x8951,x8952),f149(x8951,x8951)),x8953)
% 4.89/4.89 [952]~P19(x9521)+~P19(x9523)+~P19(x9522)+E(x9521,f134(x9522,x9523))+~P13(f149(f149(x9524,f102(x9522,x9523,x9521)),f149(x9524,x9524)),x9523)+~P13(f149(f149(f101(x9522,x9523,x9521),x9524),f149(f101(x9522,x9523,x9521),f101(x9522,x9523,x9521))),x9522)+~P13(f149(f149(f101(x9522,x9523,x9521),f102(x9522,x9523,x9521)),f149(f101(x9522,x9523,x9521),f101(x9522,x9523,x9521))),x9521)
% 4.89/4.89 [751]~P8(x7513)+~P19(x7513)+~P13(x7515,x7514)+P13(x7511,x7512)+~P13(x7515,f5(x7513))+~E(x7512,f137(x7513,x7514))+~E(x7511,f2(x7513,x7515))
% 4.89/4.89 [916]~P19(x9163)+~P19(x9165)+~P19(x9164)+~E(x9163,f134(x9164,x9165))+~P13(f149(f149(x9161,x9166),f149(x9161,x9161)),x9164)+P13(f149(f149(x9161,x9162),f149(x9161,x9161)),x9163)+~P13(f149(f149(x9166,x9162),f149(x9166,x9166)),x9165)
% 4.89/4.89 [917]~P19(x9173)+~P13(x9171,x9174)+~P16(x9173,x9174)+~P13(x9172,x9174)+~P13(x9175,x9174)+~P13(f149(f149(x9175,x9172),f149(x9175,x9175)),x9173)+~P13(f149(f149(x9171,x9175),f149(x9171,x9171)),x9173)+P13(f149(f149(x9171,x9172),f149(x9171,x9171)),x9173)
% 4.89/4.89 [773]~P8(x7731)+~P8(x7732)+~P19(x7731)+~P19(x7732)+~P12(x7732)+P13(f26(x7732,x7731),f135(x7732))+P13(f27(x7732,x7731),f5(x7732))+~E(f135(x7732),f5(x7731))+E(x7731,f129(x7732))
% 4.89/4.89 [780]~P8(x7801)+~P8(x7802)+~P19(x7801)+~P19(x7802)+~P12(x7802)+P13(f27(x7802,x7801),f5(x7802))+~E(f135(x7802),f5(x7801))+E(x7801,f129(x7802))+E(f2(x7801,f26(x7802,x7801)),f28(x7802,x7801))
% 4.89/4.89 [781]~P8(x7811)+~P8(x7812)+~P19(x7811)+~P19(x7812)+~P12(x7812)+P13(f26(x7812,x7811),f135(x7812))+~E(f135(x7812),f5(x7811))+E(x7811,f129(x7812))+E(f2(x7812,f27(x7812,x7811)),f29(x7812,x7811))
% 4.89/4.89 [783]~P8(x7831)+~P8(x7832)+~P19(x7831)+~P19(x7832)+~P12(x7832)+~E(f135(x7832),f5(x7831))+E(x7831,f129(x7832))+E(f2(x7831,f26(x7832,x7831)),f28(x7832,x7831))+E(f2(x7832,f27(x7832,x7831)),f29(x7832,x7831))
% 4.89/4.89 [738]~P8(x7384)+~P8(x7382)+~P19(x7384)+~P19(x7382)+~P12(x7382)+~E(x7383,f2(x7384,x7381))+~P13(x7381,f135(x7382))+E(x7381,f2(x7382,x7383))+~E(x7384,f129(x7382))
% 4.89/4.89 [739]~P8(x7394)+~P8(x7392)+~P19(x7394)+~P19(x7392)+~P12(x7394)+~E(x7393,f2(x7394,x7391))+~P13(x7391,f5(x7394))+E(x7391,f2(x7392,x7393))+~E(x7392,f129(x7394))
% 4.89/4.89 [743]~P8(x7433)+~P8(x7432)+~P19(x7433)+~P19(x7432)+~P12(x7432)+~P13(x7434,f135(x7432))+P13(x7431,f5(x7432))+~E(x7431,f2(x7433,x7434))+~E(x7433,f129(x7432))
% 4.89/4.89 [744]~P8(x7443)+~P8(x7442)+~P19(x7443)+~P19(x7442)+~P12(x7442)+~P13(x7444,f5(x7442))+P13(x7441,f135(x7442))+~E(x7441,f2(x7442,x7444))+~E(x7443,f129(x7442))
% 4.89/4.89 [837]~P8(x8371)+~P8(x8372)+~P19(x8371)+~P19(x8372)+~P12(x8372)+P13(f26(x8372,x8371),f135(x8372))+~E(f135(x8372),f5(x8371))+~P13(f29(x8372,x8371),f135(x8372))+E(x8371,f129(x8372))+~E(f2(x8371,f29(x8372,x8371)),f27(x8372,x8371))
% 4.89/4.89 [838]~P8(x8381)+~P8(x8382)+~P19(x8381)+~P19(x8382)+~P12(x8382)+P13(f27(x8382,x8381),f5(x8382))+~E(f135(x8382),f5(x8381))+~P13(f28(x8382,x8381),f5(x8382))+E(x8381,f129(x8382))+~E(f2(x8382,f28(x8382,x8381)),f26(x8382,x8381))
% 4.89/4.89 [842]~P8(x8421)+~P8(x8422)+~P19(x8421)+~P19(x8422)+~P12(x8422)+~E(f135(x8422),f5(x8421))+~P13(f29(x8422,x8421),f135(x8422))+E(x8421,f129(x8422))+E(f2(x8421,f26(x8422,x8421)),f28(x8422,x8421))+~E(f2(x8421,f29(x8422,x8421)),f27(x8422,x8421))
% 4.89/4.89 [843]~P8(x8431)+~P8(x8432)+~P19(x8431)+~P19(x8432)+~P12(x8432)+~E(f135(x8432),f5(x8431))+~P13(f28(x8432,x8431),f5(x8432))+E(x8431,f129(x8432))+E(f2(x8432,f27(x8432,x8431)),f29(x8432,x8431))+~E(f2(x8432,f28(x8432,x8431)),f26(x8432,x8431))
% 4.89/4.89 [870]~P8(x8701)+~P8(x8702)+~P19(x8701)+~P19(x8702)+~P12(x8702)+~E(f135(x8702),f5(x8701))+~P13(f28(x8702,x8701),f5(x8702))+~P13(f29(x8702,x8701),f135(x8702))+E(x8701,f129(x8702))+~E(f2(x8702,f28(x8702,x8701)),f26(x8702,x8701))+~E(f2(x8701,f29(x8702,x8701)),f27(x8702,x8701))
% 4.89/4.89 %EqnAxiom
% 4.89/4.89 [1]E(x11,x11)
% 4.89/4.89 [2]E(x22,x21)+~E(x21,x22)
% 4.89/4.89 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.89/4.89 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 4.89/4.89 [5]~E(x51,x52)+E(f135(x51),f135(x52))
% 4.89/4.89 [6]~E(x61,x62)+E(f126(x61),f126(x62))
% 4.89/4.89 [7]~E(x71,x72)+E(f128(x71),f128(x72))
% 4.89/4.89 [8]~E(x81,x82)+E(f41(x81,x83,x84),f41(x82,x83,x84))
% 4.89/4.89 [9]~E(x91,x92)+E(f41(x93,x91,x94),f41(x93,x92,x94))
% 4.89/4.89 [10]~E(x101,x102)+E(f41(x103,x104,x101),f41(x103,x104,x102))
% 4.89/4.89 [11]~E(x111,x112)+E(f42(x111,x113,x114),f42(x112,x113,x114))
% 4.89/4.89 [12]~E(x121,x122)+E(f42(x123,x121,x124),f42(x123,x122,x124))
% 4.89/4.89 [13]~E(x131,x132)+E(f42(x133,x134,x131),f42(x133,x134,x132))
% 4.89/4.89 [14]~E(x141,x142)+E(f149(x141,x143),f149(x142,x143))
% 4.89/4.89 [15]~E(x151,x152)+E(f149(x153,x151),f149(x153,x152))
% 4.89/4.89 [16]~E(x161,x162)+E(f60(x161,x163),f60(x162,x163))
% 4.89/4.89 [17]~E(x171,x172)+E(f60(x173,x171),f60(x173,x172))
% 4.89/4.89 [18]~E(x181,x182)+E(f132(x181),f132(x182))
% 4.89/4.89 [19]~E(x191,x192)+E(f142(x191),f142(x192))
% 4.89/4.89 [20]~E(x201,x202)+E(f137(x201,x203),f137(x202,x203))
% 4.89/4.89 [21]~E(x211,x212)+E(f137(x213,x211),f137(x213,x212))
% 4.89/4.89 [22]~E(x221,x222)+E(f109(x221,x223,x224),f109(x222,x223,x224))
% 4.89/4.89 [23]~E(x231,x232)+E(f109(x233,x231,x234),f109(x233,x232,x234))
% 4.89/4.89 [24]~E(x241,x242)+E(f109(x243,x244,x241),f109(x243,x244,x242))
% 4.89/4.89 [25]~E(x251,x252)+E(f143(x251,x253),f143(x252,x253))
% 4.89/4.89 [26]~E(x261,x262)+E(f143(x263,x261),f143(x263,x262))
% 4.89/4.89 [27]~E(x271,x272)+E(f145(x271,x273),f145(x272,x273))
% 4.89/4.89 [28]~E(x281,x282)+E(f145(x283,x281),f145(x283,x282))
% 4.89/4.89 [29]~E(x291,x292)+E(f29(x291,x293),f29(x292,x293))
% 4.89/4.89 [30]~E(x301,x302)+E(f29(x303,x301),f29(x303,x302))
% 4.89/4.89 [31]~E(x311,x312)+E(f61(x311,x313),f61(x312,x313))
% 4.89/4.89 [32]~E(x321,x322)+E(f61(x323,x321),f61(x323,x322))
% 4.89/4.89 [33]~E(x331,x332)+E(f46(x331,x333),f46(x332,x333))
% 4.89/4.89 [34]~E(x341,x342)+E(f46(x343,x341),f46(x343,x342))
% 4.89/4.89 [35]~E(x351,x352)+E(f14(x351),f14(x352))
% 4.89/4.89 [36]~E(x361,x362)+E(f12(x361),f12(x362))
% 4.89/4.89 [37]~E(x371,x372)+E(f13(x371),f13(x372))
% 4.89/4.89 [38]~E(x381,x382)+E(f3(x381,x383),f3(x382,x383))
% 4.89/4.89 [39]~E(x391,x392)+E(f3(x393,x391),f3(x393,x392))
% 4.89/4.89 [40]~E(x401,x402)+E(f34(x401),f34(x402))
% 4.89/4.89 [41]~E(x411,x412)+E(f115(x411),f115(x412))
% 4.89/4.89 [42]~E(x421,x422)+E(f88(x421,x423,x424),f88(x422,x423,x424))
% 4.89/4.89 [43]~E(x431,x432)+E(f88(x433,x431,x434),f88(x433,x432,x434))
% 4.89/4.89 [44]~E(x441,x442)+E(f88(x443,x444,x441),f88(x443,x444,x442))
% 4.89/4.89 [45]~E(x451,x452)+E(f73(x451,x453),f73(x452,x453))
% 4.89/4.89 [46]~E(x461,x462)+E(f73(x463,x461),f73(x463,x462))
% 4.89/4.89 [47]~E(x471,x472)+E(f17(x471,x473,x474),f17(x472,x473,x474))
% 4.89/4.89 [48]~E(x481,x482)+E(f17(x483,x481,x484),f17(x483,x482,x484))
% 4.89/4.89 [49]~E(x491,x492)+E(f17(x493,x494,x491),f17(x493,x494,x492))
% 4.89/4.89 [50]~E(x501,x502)+E(f44(x501,x503,x504,x505),f44(x502,x503,x504,x505))
% 4.89/4.89 [51]~E(x511,x512)+E(f44(x513,x511,x514,x515),f44(x513,x512,x514,x515))
% 4.89/4.89 [52]~E(x521,x522)+E(f44(x523,x524,x521,x525),f44(x523,x524,x522,x525))
% 4.89/4.89 [53]~E(x531,x532)+E(f44(x533,x534,x535,x531),f44(x533,x534,x535,x532))
% 4.89/4.89 [54]~E(x541,x542)+E(f141(x541,x543),f141(x542,x543))
% 4.89/4.89 [55]~E(x551,x552)+E(f141(x553,x551),f141(x553,x552))
% 4.89/4.89 [56]~E(x561,x562)+E(f27(x561,x563),f27(x562,x563))
% 4.89/4.89 [57]~E(x571,x572)+E(f27(x573,x571),f27(x573,x572))
% 4.89/4.89 [58]~E(x581,x582)+E(f2(x581,x583),f2(x582,x583))
% 4.89/4.89 [59]~E(x591,x592)+E(f2(x593,x591),f2(x593,x592))
% 4.89/4.89 [60]~E(x601,x602)+E(f32(x601,x603,x604),f32(x602,x603,x604))
% 4.89/4.89 [61]~E(x611,x612)+E(f32(x613,x611,x614),f32(x613,x612,x614))
% 4.89/4.89 [62]~E(x621,x622)+E(f32(x623,x624,x621),f32(x623,x624,x622))
% 4.89/4.89 [63]~E(x631,x632)+E(f4(x631,x633),f4(x632,x633))
% 4.89/4.89 [64]~E(x641,x642)+E(f4(x643,x641),f4(x643,x642))
% 4.89/4.89 [65]~E(x651,x652)+E(f103(x651,x653,x654),f103(x652,x653,x654))
% 4.89/4.89 [66]~E(x661,x662)+E(f103(x663,x661,x664),f103(x663,x662,x664))
% 4.89/4.89 [67]~E(x671,x672)+E(f103(x673,x674,x671),f103(x673,x674,x672))
% 4.89/4.89 [68]~E(x681,x682)+E(f108(x681),f108(x682))
% 4.89/4.89 [69]~E(x691,x692)+E(f136(x691),f136(x692))
% 4.89/4.89 [70]~E(x701,x702)+E(f148(x701,x703,x704),f148(x702,x703,x704))
% 4.89/4.89 [71]~E(x711,x712)+E(f148(x713,x711,x714),f148(x713,x712,x714))
% 4.89/4.89 [72]~E(x721,x722)+E(f148(x723,x724,x721),f148(x723,x724,x722))
% 4.89/4.89 [73]~E(x731,x732)+E(f30(x731),f30(x732))
% 4.89/4.89 [74]~E(x741,x742)+E(f134(x741,x743),f134(x742,x743))
% 4.89/4.89 [75]~E(x751,x752)+E(f134(x753,x751),f134(x753,x752))
% 4.89/4.89 [76]~E(x761,x762)+E(f26(x761,x763),f26(x762,x763))
% 4.89/4.89 [77]~E(x771,x772)+E(f26(x773,x771),f26(x773,x772))
% 4.89/4.89 [78]~E(x781,x782)+E(f129(x781),f129(x782))
% 4.89/4.89 [79]~E(x791,x792)+E(f22(x791,x793,x794),f22(x792,x793,x794))
% 4.89/4.89 [80]~E(x801,x802)+E(f22(x803,x801,x804),f22(x803,x802,x804))
% 4.89/4.89 [81]~E(x811,x812)+E(f22(x813,x814,x811),f22(x813,x814,x812))
% 4.89/4.89 [82]~E(x821,x822)+E(f116(x821),f116(x822))
% 4.89/4.89 [83]~E(x831,x832)+E(f67(x831,x833,x834),f67(x832,x833,x834))
% 4.89/4.89 [84]~E(x841,x842)+E(f67(x843,x841,x844),f67(x843,x842,x844))
% 4.89/4.89 [85]~E(x851,x852)+E(f67(x853,x854,x851),f67(x853,x854,x852))
% 4.89/4.89 [86]~E(x861,x862)+E(f62(x861,x863,x864),f62(x862,x863,x864))
% 4.89/4.89 [87]~E(x871,x872)+E(f62(x873,x871,x874),f62(x873,x872,x874))
% 4.89/4.89 [88]~E(x881,x882)+E(f62(x883,x884,x881),f62(x883,x884,x882))
% 4.89/4.89 [89]~E(x891,x892)+E(f138(x891),f138(x892))
% 4.89/4.89 [90]~E(x901,x902)+E(f68(x901,x903,x904),f68(x902,x903,x904))
% 4.89/4.89 [91]~E(x911,x912)+E(f68(x913,x911,x914),f68(x913,x912,x914))
% 4.89/4.89 [92]~E(x921,x922)+E(f68(x923,x924,x921),f68(x923,x924,x922))
% 4.89/4.89 [93]~E(x931,x932)+E(f75(x931,x933),f75(x932,x933))
% 4.89/4.89 [94]~E(x941,x942)+E(f75(x943,x941),f75(x943,x942))
% 4.89/4.89 [95]~E(x951,x952)+E(f66(x951,x953,x954),f66(x952,x953,x954))
% 4.89/4.89 [96]~E(x961,x962)+E(f66(x963,x961,x964),f66(x963,x962,x964))
% 4.89/4.89 [97]~E(x971,x972)+E(f66(x973,x974,x971),f66(x973,x974,x972))
% 4.89/4.89 [98]~E(x981,x982)+E(f48(x981,x983),f48(x982,x983))
% 4.89/4.89 [99]~E(x991,x992)+E(f48(x993,x991),f48(x993,x992))
% 4.89/4.89 [100]~E(x1001,x1002)+E(f72(x1001,x1003),f72(x1002,x1003))
% 4.89/4.89 [101]~E(x1011,x1012)+E(f72(x1013,x1011),f72(x1013,x1012))
% 4.89/4.89 [102]~E(x1021,x1022)+E(f130(x1021,x1023),f130(x1022,x1023))
% 4.89/4.89 [103]~E(x1031,x1032)+E(f130(x1033,x1031),f130(x1033,x1032))
% 4.89/4.89 [104]~E(x1041,x1042)+E(f92(x1041,x1043,x1044),f92(x1042,x1043,x1044))
% 4.89/4.89 [105]~E(x1051,x1052)+E(f92(x1053,x1051,x1054),f92(x1053,x1052,x1054))
% 4.89/4.89 [106]~E(x1061,x1062)+E(f92(x1063,x1064,x1061),f92(x1063,x1064,x1062))
% 4.89/4.89 [107]~E(x1071,x1072)+E(f144(x1071,x1073),f144(x1072,x1073))
% 4.89/4.89 [108]~E(x1081,x1082)+E(f144(x1083,x1081),f144(x1083,x1082))
% 4.89/4.89 [109]~E(x1091,x1092)+E(f54(x1091,x1093),f54(x1092,x1093))
% 4.89/4.89 [110]~E(x1101,x1102)+E(f54(x1103,x1101),f54(x1103,x1102))
% 4.89/4.89 [111]~E(x1111,x1112)+E(f104(x1111,x1113),f104(x1112,x1113))
% 4.89/4.89 [112]~E(x1121,x1122)+E(f104(x1123,x1121),f104(x1123,x1122))
% 4.89/4.89 [113]~E(x1131,x1132)+E(f47(x1131,x1133,x1134,x1135),f47(x1132,x1133,x1134,x1135))
% 4.89/4.89 [114]~E(x1141,x1142)+E(f47(x1143,x1141,x1144,x1145),f47(x1143,x1142,x1144,x1145))
% 4.89/4.89 [115]~E(x1151,x1152)+E(f47(x1153,x1154,x1151,x1155),f47(x1153,x1154,x1152,x1155))
% 4.89/4.89 [116]~E(x1161,x1162)+E(f47(x1163,x1164,x1165,x1161),f47(x1163,x1164,x1165,x1162))
% 4.89/4.89 [117]~E(x1171,x1172)+E(f31(x1171),f31(x1172))
% 4.89/4.89 [118]~E(x1181,x1182)+E(f78(x1181,x1183),f78(x1182,x1183))
% 4.89/4.89 [119]~E(x1191,x1192)+E(f78(x1193,x1191),f78(x1193,x1192))
% 4.89/4.89 [120]~E(x1201,x1202)+E(f76(x1201,x1203,x1204),f76(x1202,x1203,x1204))
% 4.89/4.89 [121]~E(x1211,x1212)+E(f76(x1213,x1211,x1214),f76(x1213,x1212,x1214))
% 4.89/4.89 [122]~E(x1221,x1222)+E(f76(x1223,x1224,x1221),f76(x1223,x1224,x1222))
% 4.89/4.89 [123]~E(x1231,x1232)+E(f102(x1231,x1233,x1234),f102(x1232,x1233,x1234))
% 4.89/4.89 [124]~E(x1241,x1242)+E(f102(x1243,x1241,x1244),f102(x1243,x1242,x1244))
% 4.89/4.89 [125]~E(x1251,x1252)+E(f102(x1253,x1254,x1251),f102(x1253,x1254,x1252))
% 4.89/4.89 [126]~E(x1261,x1262)+E(f146(x1261),f146(x1262))
% 4.89/4.89 [127]~E(x1271,x1272)+E(f43(x1271,x1273,x1274),f43(x1272,x1273,x1274))
% 4.89/4.89 [128]~E(x1281,x1282)+E(f43(x1283,x1281,x1284),f43(x1283,x1282,x1284))
% 4.89/4.89 [129]~E(x1291,x1292)+E(f43(x1293,x1294,x1291),f43(x1293,x1294,x1292))
% 4.89/4.89 [130]~E(x1301,x1302)+E(f99(x1301,x1303,x1304),f99(x1302,x1303,x1304))
% 4.89/4.89 [131]~E(x1311,x1312)+E(f99(x1313,x1311,x1314),f99(x1313,x1312,x1314))
% 4.89/4.89 [132]~E(x1321,x1322)+E(f99(x1323,x1324,x1321),f99(x1323,x1324,x1322))
% 4.89/4.89 [133]~E(x1331,x1332)+E(f150(x1331,x1333),f150(x1332,x1333))
% 4.89/4.89 [134]~E(x1341,x1342)+E(f150(x1343,x1341),f150(x1343,x1342))
% 4.89/4.89 [135]~E(x1351,x1352)+E(f147(x1351,x1353),f147(x1352,x1353))
% 4.89/4.89 [136]~E(x1361,x1362)+E(f147(x1363,x1361),f147(x1363,x1362))
% 4.89/4.89 [137]~E(x1371,x1372)+E(f151(x1371,x1373,x1374),f151(x1372,x1373,x1374))
% 4.89/4.89 [138]~E(x1381,x1382)+E(f151(x1383,x1381,x1384),f151(x1383,x1382,x1384))
% 4.89/4.89 [139]~E(x1391,x1392)+E(f151(x1393,x1394,x1391),f151(x1393,x1394,x1392))
% 4.89/4.89 [140]~E(x1401,x1402)+E(f35(x1401),f35(x1402))
% 4.89/4.89 [141]~E(x1411,x1412)+E(f36(x1411),f36(x1412))
% 4.89/4.89 [142]~E(x1421,x1422)+E(f80(x1421,x1423,x1424),f80(x1422,x1423,x1424))
% 4.89/4.89 [143]~E(x1431,x1432)+E(f80(x1433,x1431,x1434),f80(x1433,x1432,x1434))
% 4.89/4.89 [144]~E(x1441,x1442)+E(f80(x1443,x1444,x1441),f80(x1443,x1444,x1442))
% 4.89/4.89 [145]~E(x1451,x1452)+E(f119(x1451,x1453,x1454),f119(x1452,x1453,x1454))
% 4.89/4.89 [146]~E(x1461,x1462)+E(f119(x1463,x1461,x1464),f119(x1463,x1462,x1464))
% 4.89/4.89 [147]~E(x1471,x1472)+E(f119(x1473,x1474,x1471),f119(x1473,x1474,x1472))
% 4.89/4.89 [148]~E(x1481,x1482)+E(f101(x1481,x1483,x1484),f101(x1482,x1483,x1484))
% 4.89/4.89 [149]~E(x1491,x1492)+E(f101(x1493,x1491,x1494),f101(x1493,x1492,x1494))
% 4.89/4.89 [150]~E(x1501,x1502)+E(f101(x1503,x1504,x1501),f101(x1503,x1504,x1502))
% 4.89/4.89 [151]~E(x1511,x1512)+E(f28(x1511,x1513),f28(x1512,x1513))
% 4.89/4.89 [152]~E(x1521,x1522)+E(f28(x1523,x1521),f28(x1523,x1522))
% 4.89/4.89 [153]~E(x1531,x1532)+E(f94(x1531,x1533),f94(x1532,x1533))
% 4.89/4.89 [154]~E(x1541,x1542)+E(f94(x1543,x1541),f94(x1543,x1542))
% 4.89/4.89 [155]~E(x1551,x1552)+E(f140(x1551,x1553),f140(x1552,x1553))
% 4.89/4.89 [156]~E(x1561,x1562)+E(f140(x1563,x1561),f140(x1563,x1562))
% 4.89/4.89 [157]~E(x1571,x1572)+E(f90(x1571,x1573),f90(x1572,x1573))
% 4.89/4.89 [158]~E(x1581,x1582)+E(f90(x1583,x1581),f90(x1583,x1582))
% 4.89/4.89 [159]~E(x1591,x1592)+E(f56(x1591,x1593),f56(x1592,x1593))
% 4.89/4.89 [160]~E(x1601,x1602)+E(f56(x1603,x1601),f56(x1603,x1602))
% 4.89/4.89 [161]~E(x1611,x1612)+E(f23(x1611),f23(x1612))
% 4.89/4.89 [162]~E(x1621,x1622)+E(f139(x1621,x1623),f139(x1622,x1623))
% 4.89/4.89 [163]~E(x1631,x1632)+E(f139(x1633,x1631),f139(x1633,x1632))
% 4.89/4.89 [164]~E(x1641,x1642)+E(f131(x1641,x1643,x1644),f131(x1642,x1643,x1644))
% 4.89/4.89 [165]~E(x1651,x1652)+E(f131(x1653,x1651,x1654),f131(x1653,x1652,x1654))
% 4.89/4.89 [166]~E(x1661,x1662)+E(f131(x1663,x1664,x1661),f131(x1663,x1664,x1662))
% 4.89/4.89 [167]~E(x1671,x1672)+E(f40(x1671,x1673),f40(x1672,x1673))
% 4.89/4.89 [168]~E(x1681,x1682)+E(f40(x1683,x1681),f40(x1683,x1682))
% 4.89/4.89 [169]~E(x1691,x1692)+E(f100(x1691,x1693,x1694,x1695,x1696),f100(x1692,x1693,x1694,x1695,x1696))
% 4.89/4.89 [170]~E(x1701,x1702)+E(f100(x1703,x1701,x1704,x1705,x1706),f100(x1703,x1702,x1704,x1705,x1706))
% 4.89/4.89 [171]~E(x1711,x1712)+E(f100(x1713,x1714,x1711,x1715,x1716),f100(x1713,x1714,x1712,x1715,x1716))
% 4.89/4.89 [172]~E(x1721,x1722)+E(f100(x1723,x1724,x1725,x1721,x1726),f100(x1723,x1724,x1725,x1722,x1726))
% 4.89/4.89 [173]~E(x1731,x1732)+E(f100(x1733,x1734,x1735,x1736,x1731),f100(x1733,x1734,x1735,x1736,x1732))
% 4.89/4.89 [174]~E(x1741,x1742)+E(f57(x1741,x1743),f57(x1742,x1743))
% 4.89/4.89 [175]~E(x1751,x1752)+E(f57(x1753,x1751),f57(x1753,x1752))
% 4.89/4.89 [176]~E(x1761,x1762)+E(f65(x1761,x1763,x1764,x1765),f65(x1762,x1763,x1764,x1765))
% 4.89/4.89 [177]~E(x1771,x1772)+E(f65(x1773,x1771,x1774,x1775),f65(x1773,x1772,x1774,x1775))
% 4.89/4.89 [178]~E(x1781,x1782)+E(f65(x1783,x1784,x1781,x1785),f65(x1783,x1784,x1782,x1785))
% 4.89/4.89 [179]~E(x1791,x1792)+E(f65(x1793,x1794,x1795,x1791),f65(x1793,x1794,x1795,x1792))
% 4.89/4.89 [180]~E(x1801,x1802)+E(f64(x1801,x1803,x1804,x1805),f64(x1802,x1803,x1804,x1805))
% 4.89/4.89 [181]~E(x1811,x1812)+E(f64(x1813,x1811,x1814,x1815),f64(x1813,x1812,x1814,x1815))
% 4.89/4.89 [182]~E(x1821,x1822)+E(f64(x1823,x1824,x1821,x1825),f64(x1823,x1824,x1822,x1825))
% 4.89/4.89 [183]~E(x1831,x1832)+E(f64(x1833,x1834,x1835,x1831),f64(x1833,x1834,x1835,x1832))
% 4.89/4.89 [184]~E(x1841,x1842)+E(f37(x1841),f37(x1842))
% 4.89/4.89 [185]~E(x1851,x1852)+E(f121(x1851),f121(x1852))
% 4.89/4.89 [186]~E(x1861,x1862)+E(f71(x1861,x1863),f71(x1862,x1863))
% 4.89/4.89 [187]~E(x1871,x1872)+E(f71(x1873,x1871),f71(x1873,x1872))
% 4.89/4.89 [188]~E(x1881,x1882)+E(f49(x1881,x1883),f49(x1882,x1883))
% 4.89/4.89 [189]~E(x1891,x1892)+E(f49(x1893,x1891),f49(x1893,x1892))
% 4.89/4.89 [190]~E(x1901,x1902)+E(f95(x1901,x1903),f95(x1902,x1903))
% 4.89/4.89 [191]~E(x1911,x1912)+E(f95(x1913,x1911),f95(x1913,x1912))
% 4.89/4.89 [192]~E(x1921,x1922)+E(f18(x1921,x1923,x1924),f18(x1922,x1923,x1924))
% 4.89/4.89 [193]~E(x1931,x1932)+E(f18(x1933,x1931,x1934),f18(x1933,x1932,x1934))
% 4.89/4.89 [194]~E(x1941,x1942)+E(f18(x1943,x1944,x1941),f18(x1943,x1944,x1942))
% 4.89/4.89 [195]~E(x1951,x1952)+E(f59(x1951,x1953),f59(x1952,x1953))
% 4.89/4.89 [196]~E(x1961,x1962)+E(f59(x1963,x1961),f59(x1963,x1962))
% 4.89/4.89 [197]~E(x1971,x1972)+E(f96(x1971,x1973),f96(x1972,x1973))
% 4.89/4.89 [198]~E(x1981,x1982)+E(f96(x1983,x1981),f96(x1983,x1982))
% 4.89/4.89 [199]~E(x1991,x1992)+E(f38(x1991),f38(x1992))
% 4.89/4.89 [200]~E(x2001,x2002)+E(f98(x2001,x2003),f98(x2002,x2003))
% 4.89/4.89 [201]~E(x2011,x2012)+E(f98(x2013,x2011),f98(x2013,x2012))
% 4.89/4.89 [202]~E(x2021,x2022)+E(f106(x2021,x2023,x2024),f106(x2022,x2023,x2024))
% 4.89/4.89 [203]~E(x2031,x2032)+E(f106(x2033,x2031,x2034),f106(x2033,x2032,x2034))
% 4.89/4.89 [204]~E(x2041,x2042)+E(f106(x2043,x2044,x2041),f106(x2043,x2044,x2042))
% 4.89/4.89 [205]~E(x2051,x2052)+E(f110(x2051),f110(x2052))
% 4.89/4.89 [206]~E(x2061,x2062)+E(f111(x2061),f111(x2062))
% 4.89/4.89 [207]~E(x2071,x2072)+E(f97(x2071),f97(x2072))
% 4.89/4.89 [208]~E(x2081,x2082)+E(f93(x2081,x2083),f93(x2082,x2083))
% 4.89/4.89 [209]~E(x2091,x2092)+E(f93(x2093,x2091),f93(x2093,x2092))
% 4.89/4.89 [210]~E(x2101,x2102)+E(f112(x2101),f112(x2102))
% 4.89/4.89 [211]~E(x2111,x2112)+E(f50(x2111,x2113),f50(x2112,x2113))
% 4.89/4.89 [212]~E(x2121,x2122)+E(f50(x2123,x2121),f50(x2123,x2122))
% 4.89/4.89 [213]~E(x2131,x2132)+E(f15(x2131),f15(x2132))
% 4.89/4.89 [214]~E(x2141,x2142)+E(f55(x2141),f55(x2142))
% 4.89/4.89 [215]~E(x2151,x2152)+E(f87(x2151,x2153,x2154),f87(x2152,x2153,x2154))
% 4.89/4.89 [216]~E(x2161,x2162)+E(f87(x2163,x2161,x2164),f87(x2163,x2162,x2164))
% 4.89/4.89 [217]~E(x2171,x2172)+E(f87(x2173,x2174,x2171),f87(x2173,x2174,x2172))
% 4.89/4.89 [218]~E(x2181,x2182)+E(f20(x2181,x2183),f20(x2182,x2183))
% 4.89/4.89 [219]~E(x2191,x2192)+E(f20(x2193,x2191),f20(x2193,x2192))
% 4.89/4.89 [220]~E(x2201,x2202)+E(f39(x2201),f39(x2202))
% 4.89/4.89 [221]~E(x2211,x2212)+E(f82(x2211,x2213),f82(x2212,x2213))
% 4.89/4.89 [222]~E(x2221,x2222)+E(f82(x2223,x2221),f82(x2223,x2222))
% 4.89/4.89 [223]~E(x2231,x2232)+E(f69(x2231),f69(x2232))
% 4.89/4.89 [224]~E(x2241,x2242)+E(f81(x2241,x2243),f81(x2242,x2243))
% 4.89/4.89 [225]~E(x2251,x2252)+E(f81(x2253,x2251),f81(x2253,x2252))
% 4.89/4.89 [226]~E(x2261,x2262)+E(f86(x2261,x2263),f86(x2262,x2263))
% 4.89/4.89 [227]~E(x2271,x2272)+E(f86(x2273,x2271),f86(x2273,x2272))
% 4.89/4.89 [228]~E(x2281,x2282)+E(f83(x2281,x2283),f83(x2282,x2283))
% 4.89/4.89 [229]~E(x2291,x2292)+E(f83(x2293,x2291),f83(x2293,x2292))
% 4.89/4.89 [230]~E(x2301,x2302)+E(f89(x2301,x2303),f89(x2302,x2303))
% 4.89/4.89 [231]~E(x2311,x2312)+E(f89(x2313,x2311),f89(x2313,x2312))
% 4.89/4.89 [232]~E(x2321,x2322)+E(f33(x2321,x2323,x2324,x2325),f33(x2322,x2323,x2324,x2325))
% 4.89/4.89 [233]~E(x2331,x2332)+E(f33(x2333,x2331,x2334,x2335),f33(x2333,x2332,x2334,x2335))
% 4.89/4.89 [234]~E(x2341,x2342)+E(f33(x2343,x2344,x2341,x2345),f33(x2343,x2344,x2342,x2345))
% 4.89/4.89 [235]~E(x2351,x2352)+E(f33(x2353,x2354,x2355,x2351),f33(x2353,x2354,x2355,x2352))
% 4.89/4.89 [236]~E(x2361,x2362)+E(f52(x2361,x2363),f52(x2362,x2363))
% 4.89/4.89 [237]~E(x2371,x2372)+E(f52(x2373,x2371),f52(x2373,x2372))
% 4.89/4.89 [238]~E(x2381,x2382)+E(f91(x2381,x2383,x2384,x2385),f91(x2382,x2383,x2384,x2385))
% 4.89/4.89 [239]~E(x2391,x2392)+E(f91(x2393,x2391,x2394,x2395),f91(x2393,x2392,x2394,x2395))
% 4.89/4.89 [240]~E(x2401,x2402)+E(f91(x2403,x2404,x2401,x2405),f91(x2403,x2404,x2402,x2405))
% 4.89/4.89 [241]~E(x2411,x2412)+E(f91(x2413,x2414,x2415,x2411),f91(x2413,x2414,x2415,x2412))
% 4.89/4.89 [242]~E(x2421,x2422)+E(f58(x2421,x2423,x2424),f58(x2422,x2423,x2424))
% 4.89/4.89 [243]~E(x2431,x2432)+E(f58(x2433,x2431,x2434),f58(x2433,x2432,x2434))
% 4.89/4.89 [244]~E(x2441,x2442)+E(f58(x2443,x2444,x2441),f58(x2443,x2444,x2442))
% 4.89/4.89 [245]~E(x2451,x2452)+E(f16(x2451,x2453),f16(x2452,x2453))
% 4.89/4.89 [246]~E(x2461,x2462)+E(f16(x2463,x2461),f16(x2463,x2462))
% 4.89/4.89 [247]~E(x2471,x2472)+E(f117(x2471,x2473),f117(x2472,x2473))
% 4.89/4.89 [248]~E(x2481,x2482)+E(f117(x2483,x2481),f117(x2483,x2482))
% 4.89/4.89 [249]~E(x2491,x2492)+E(f51(x2491,x2493),f51(x2492,x2493))
% 4.89/4.89 [250]~E(x2501,x2502)+E(f51(x2503,x2501),f51(x2503,x2502))
% 4.89/4.89 [251]~E(x2511,x2512)+E(f70(x2511,x2513),f70(x2512,x2513))
% 4.89/4.89 [252]~E(x2521,x2522)+E(f70(x2523,x2521),f70(x2523,x2522))
% 4.89/4.89 [253]~E(x2531,x2532)+E(f133(x2531,x2533),f133(x2532,x2533))
% 4.89/4.89 [254]~E(x2541,x2542)+E(f133(x2543,x2541),f133(x2543,x2542))
% 4.89/4.89 [255]~E(x2551,x2552)+E(f105(x2551,x2553),f105(x2552,x2553))
% 4.89/4.89 [256]~E(x2561,x2562)+E(f105(x2563,x2561),f105(x2563,x2562))
% 4.89/4.89 [257]~E(x2571,x2572)+E(f84(x2571,x2573,x2574),f84(x2572,x2573,x2574))
% 4.89/4.89 [258]~E(x2581,x2582)+E(f84(x2583,x2581,x2584),f84(x2583,x2582,x2584))
% 4.89/4.89 [259]~E(x2591,x2592)+E(f84(x2593,x2594,x2591),f84(x2593,x2594,x2592))
% 4.89/4.89 [260]~E(x2601,x2602)+E(f113(x2601),f113(x2602))
% 4.89/4.89 [261]~E(x2611,x2612)+E(f114(x2611),f114(x2612))
% 4.89/4.89 [262]~E(x2621,x2622)+E(f63(x2621,x2623,x2624),f63(x2622,x2623,x2624))
% 4.89/4.89 [263]~E(x2631,x2632)+E(f63(x2633,x2631,x2634),f63(x2633,x2632,x2634))
% 4.89/4.89 [264]~E(x2641,x2642)+E(f63(x2643,x2644,x2641),f63(x2643,x2644,x2642))
% 4.89/4.89 [265]~E(x2651,x2652)+E(f85(x2651,x2653),f85(x2652,x2653))
% 4.89/4.89 [266]~E(x2661,x2662)+E(f85(x2663,x2661),f85(x2663,x2662))
% 4.89/4.89 [267]~E(x2671,x2672)+E(f53(x2671,x2673,x2674),f53(x2672,x2673,x2674))
% 4.89/4.89 [268]~E(x2681,x2682)+E(f53(x2683,x2681,x2684),f53(x2683,x2682,x2684))
% 4.89/4.89 [269]~E(x2691,x2692)+E(f53(x2693,x2694,x2691),f53(x2693,x2694,x2692))
% 4.89/4.89 [270]~E(x2701,x2702)+E(f21(x2701,x2703),f21(x2702,x2703))
% 4.89/4.89 [271]~E(x2711,x2712)+E(f21(x2713,x2711),f21(x2713,x2712))
% 4.89/4.89 [272]~E(x2721,x2722)+E(f74(x2721,x2723,x2724),f74(x2722,x2723,x2724))
% 4.89/4.89 [273]~E(x2731,x2732)+E(f74(x2733,x2731,x2734),f74(x2733,x2732,x2734))
% 4.89/4.89 [274]~E(x2741,x2742)+E(f74(x2743,x2744,x2741),f74(x2743,x2744,x2742))
% 4.89/4.89 [275]~E(x2751,x2752)+E(f77(x2751,x2753,x2754),f77(x2752,x2753,x2754))
% 4.89/4.89 [276]~E(x2761,x2762)+E(f77(x2763,x2761,x2764),f77(x2763,x2762,x2764))
% 4.89/4.89 [277]~E(x2771,x2772)+E(f77(x2773,x2774,x2771),f77(x2773,x2774,x2772))
% 4.89/4.89 [278]~E(x2781,x2782)+E(f25(x2781,x2783),f25(x2782,x2783))
% 4.89/4.89 [279]~E(x2791,x2792)+E(f25(x2793,x2791),f25(x2793,x2792))
% 4.89/4.89 [280]~E(x2801,x2802)+E(f45(x2801,x2803,x2804),f45(x2802,x2803,x2804))
% 4.89/4.89 [281]~E(x2811,x2812)+E(f45(x2813,x2811,x2814),f45(x2813,x2812,x2814))
% 4.89/4.89 [282]~E(x2821,x2822)+E(f45(x2823,x2824,x2821),f45(x2823,x2824,x2822))
% 4.89/4.89 [283]~E(x2831,x2832)+E(f19(x2831,x2833),f19(x2832,x2833))
% 4.89/4.89 [284]~E(x2841,x2842)+E(f19(x2843,x2841),f19(x2843,x2842))
% 4.89/4.89 [285]~E(x2851,x2852)+E(f24(x2851,x2853),f24(x2852,x2853))
% 4.89/4.89 [286]~E(x2861,x2862)+E(f24(x2863,x2861),f24(x2863,x2862))
% 4.89/4.89 [287]~E(x2871,x2872)+E(f79(x2871,x2873),f79(x2872,x2873))
% 4.89/4.89 [288]~E(x2881,x2882)+E(f79(x2883,x2881),f79(x2883,x2882))
% 4.89/4.89 [289]~P1(x2891)+P1(x2892)+~E(x2891,x2892)
% 4.89/4.89 [290]P13(x2902,x2903)+~E(x2901,x2902)+~P13(x2901,x2903)
% 4.89/4.89 [291]P13(x2913,x2912)+~E(x2911,x2912)+~P13(x2913,x2911)
% 4.89/4.89 [292]~P19(x2921)+P19(x2922)+~E(x2921,x2922)
% 4.89/4.89 [293]~P8(x2931)+P8(x2932)+~E(x2931,x2932)
% 4.89/4.89 [294]P15(x2942,x2943)+~E(x2941,x2942)+~P15(x2941,x2943)
% 4.89/4.89 [295]P15(x2953,x2952)+~E(x2951,x2952)+~P15(x2953,x2951)
% 4.89/4.89 [296]~P12(x2961)+P12(x2962)+~E(x2961,x2962)
% 4.89/4.89 [297]~P6(x2971)+P6(x2972)+~E(x2971,x2972)
% 4.89/4.89 [298]P14(x2982,x2983)+~E(x2981,x2982)+~P14(x2981,x2983)
% 4.89/4.89 [299]P14(x2993,x2992)+~E(x2991,x2992)+~P14(x2993,x2991)
% 4.89/4.89 [300]P24(x3002,x3003)+~E(x3001,x3002)+~P24(x3001,x3003)
% 4.89/4.89 [301]P24(x3013,x3012)+~E(x3011,x3012)+~P24(x3013,x3011)
% 4.89/4.89 [302]P7(x3022,x3023)+~E(x3021,x3022)+~P7(x3021,x3023)
% 4.89/4.89 [303]P7(x3033,x3032)+~E(x3031,x3032)+~P7(x3033,x3031)
% 4.89/4.89 [304]~P10(x3041)+P10(x3042)+~E(x3041,x3042)
% 4.89/4.89 [305]~P25(x3051)+P25(x3052)+~E(x3051,x3052)
% 4.89/4.89 [306]P20(x3062,x3063)+~E(x3061,x3062)+~P20(x3061,x3063)
% 4.89/4.89 [307]P20(x3073,x3072)+~E(x3071,x3072)+~P20(x3073,x3071)
% 4.89/4.89 [308]P28(x3082,x3083)+~E(x3081,x3082)+~P28(x3081,x3083)
% 4.89/4.89 [309]P28(x3093,x3092)+~E(x3091,x3092)+~P28(x3093,x3091)
% 4.89/4.89 [310]~P11(x3101)+P11(x3102)+~E(x3101,x3102)
% 4.89/4.89 [311]P2(x3112,x3113)+~E(x3111,x3112)+~P2(x3111,x3113)
% 4.89/4.89 [312]P2(x3123,x3122)+~E(x3121,x3122)+~P2(x3123,x3121)
% 4.89/4.89 [313]~P22(x3131)+P22(x3132)+~E(x3131,x3132)
% 4.89/4.89 [314]P16(x3142,x3143)+~E(x3141,x3142)+~P16(x3141,x3143)
% 4.89/4.89 [315]P16(x3153,x3152)+~E(x3151,x3152)+~P16(x3153,x3151)
% 4.89/4.89 [316]~P9(x3161)+P9(x3162)+~E(x3161,x3162)
% 4.89/4.89 [317]P18(x3172,x3173)+~E(x3171,x3172)+~P18(x3171,x3173)
% 4.89/4.89 [318]P18(x3183,x3182)+~E(x3181,x3182)+~P18(x3183,x3181)
% 4.89/4.89 [319]~P27(x3191)+P27(x3192)+~E(x3191,x3192)
% 4.89/4.89 [320]~P3(x3201)+P3(x3202)+~E(x3201,x3202)
% 4.89/4.89 [321]P17(x3212,x3213)+~E(x3211,x3212)+~P17(x3211,x3213)
% 4.89/4.89 [322]P17(x3223,x3222)+~E(x3221,x3222)+~P17(x3223,x3221)
% 4.89/4.89 [323]~P4(x3231)+P4(x3232)+~E(x3231,x3232)
% 4.89/4.89 [324]P21(x3242,x3243)+~E(x3241,x3242)+~P21(x3241,x3243)
% 4.89/4.89 [325]P21(x3253,x3252)+~E(x3251,x3252)+~P21(x3253,x3251)
% 4.89/4.89 [326]P5(x3262,x3263)+~E(x3261,x3262)+~P5(x3261,x3263)
% 4.89/4.89 [327]P5(x3273,x3272)+~E(x3271,x3272)+~P5(x3273,x3271)
% 4.89/4.89 [328]~P26(x3281)+P26(x3282)+~E(x3281,x3282)
% 4.89/4.89 [329]~P23(x3291)+P23(x3292)+~E(x3291,x3292)
% 4.89/4.89
% 4.89/4.89 %-------------------------------------------
% 4.89/4.90 cnf(956,plain,
% 4.89/4.90 (E(a1,f5(a1))),
% 4.89/4.90 inference(scs_inference,[],[330,2])).
% 4.89/4.90 cnf(957,plain,
% 4.89/4.90 (~P13(f12(x9571),x9571)),
% 4.89/4.90 inference(scs_inference,[],[330,391,2,562])).
% 4.89/4.90 cnf(961,plain,
% 4.89/4.90 (~P13(x9611,a1)),
% 4.89/4.90 inference(scs_inference,[],[335,330,415,391,2,562,507,484])).
% 4.89/4.90 cnf(965,plain,
% 4.89/4.90 (~P13(x9651,f5(a1))),
% 4.89/4.90 inference(scs_inference,[],[335,330,415,391,2,562,507,484,477,475])).
% 4.89/4.90 cnf(972,plain,
% 4.89/4.90 (P24(x9721,x9721)),
% 4.89/4.90 inference(rename_variables,[],[389])).
% 4.89/4.90 cnf(975,plain,
% 4.89/4.90 (P24(x9751,x9751)),
% 4.89/4.90 inference(rename_variables,[],[389])).
% 4.89/4.90 cnf(978,plain,
% 4.89/4.90 (P2(f34(x9781),x9781)),
% 4.89/4.90 inference(rename_variables,[],[394])).
% 4.89/4.90 cnf(980,plain,
% 4.89/4.90 (P19(f5(a1))),
% 4.89/4.90 inference(scs_inference,[],[389,972,335,330,415,391,394,411,2,562,507,484,477,475,462,447,664,663,574,474])).
% 4.89/4.90 cnf(992,plain,
% 4.89/4.90 (P2(x9921,f132(x9921))),
% 4.89/4.90 inference(rename_variables,[],[393])).
% 4.89/4.90 cnf(995,plain,
% 4.89/4.90 (P2(x9951,f132(x9951))),
% 4.89/4.90 inference(rename_variables,[],[393])).
% 4.89/4.90 cnf(998,plain,
% 4.89/4.90 (P2(x9981,f132(x9981))),
% 4.89/4.90 inference(rename_variables,[],[393])).
% 4.89/4.90 cnf(1001,plain,
% 4.89/4.90 (P2(x10011,f132(x10011))),
% 4.89/4.90 inference(rename_variables,[],[393])).
% 4.89/4.90 cnf(1006,plain,
% 4.89/4.90 (P2(f34(x10061),x10061)),
% 4.89/4.90 inference(rename_variables,[],[394])).
% 4.89/4.90 cnf(1008,plain,
% 4.89/4.90 (P2(x10081,f132(x10081))),
% 4.89/4.90 inference(rename_variables,[],[393])).
% 4.89/4.90 cnf(1009,plain,
% 4.89/4.90 (P11(f5(a1))),
% 4.89/4.90 inference(scs_inference,[],[389,972,335,346,350,374,330,415,391,393,992,995,998,1001,394,978,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310])).
% 4.89/4.90 cnf(1014,plain,
% 4.89/4.90 (P24(x10141,f145(x10141,x10142))),
% 4.89/4.90 inference(rename_variables,[],[399])).
% 4.89/4.90 cnf(1016,plain,
% 4.89/4.90 (P24(x10161,x10161)),
% 4.89/4.90 inference(rename_variables,[],[389])).
% 4.89/4.90 cnf(1018,plain,
% 4.89/4.90 (P8(f5(a1))),
% 4.89/4.90 inference(scs_inference,[],[389,972,975,335,340,346,350,354,370,374,330,415,391,393,992,995,998,1001,394,978,399,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293])).
% 4.89/4.90 cnf(1019,plain,
% 4.89/4.90 (~E(f12(f19(a1,x10191)),a1)),
% 4.89/4.90 inference(scs_inference,[],[389,972,975,335,340,346,350,354,370,374,330,415,391,393,992,995,998,1001,394,978,399,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291])).
% 4.89/4.90 cnf(1020,plain,
% 4.89/4.90 (P13(x10201,f12(x10201))),
% 4.89/4.90 inference(rename_variables,[],[391])).
% 4.89/4.90 cnf(1022,plain,
% 4.89/4.90 (P13(x10221,f12(x10221))),
% 4.89/4.90 inference(rename_variables,[],[391])).
% 4.89/4.90 cnf(1024,plain,
% 4.89/4.90 (E(f145(x10241,x10241),x10241)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1026,plain,
% 4.89/4.90 (~P13(f12(f13(x10261)),x10261)),
% 4.89/4.90 inference(scs_inference,[],[389,972,975,335,340,346,350,354,370,374,407,330,415,390,391,1020,1022,392,393,992,995,998,1001,394,978,399,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641])).
% 4.89/4.90 cnf(1027,plain,
% 4.89/4.90 (P13(x10271,f12(x10271))),
% 4.89/4.90 inference(rename_variables,[],[391])).
% 4.89/4.90 cnf(1029,plain,
% 4.89/4.90 (P7(f143(a1,x10291),x10292)),
% 4.89/4.90 inference(scs_inference,[],[389,972,975,335,340,346,350,354,370,374,407,330,415,390,391,1020,1022,392,393,992,995,998,1001,394,978,399,400,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604])).
% 4.89/4.90 cnf(1032,plain,
% 4.89/4.90 (E(f34(f132(a1)),a1)),
% 4.89/4.90 inference(scs_inference,[],[389,972,975,385,335,340,346,350,354,370,374,407,330,415,390,391,1020,1022,392,393,992,995,998,1001,394,978,399,400,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578])).
% 4.89/4.90 cnf(1033,plain,
% 4.89/4.90 (P24(a1,x10331)),
% 4.89/4.90 inference(rename_variables,[],[385])).
% 4.89/4.90 cnf(1035,plain,
% 4.89/4.90 (~P2(f12(f13(a125)),a125)),
% 4.89/4.90 inference(scs_inference,[],[389,972,975,385,335,340,346,350,354,370,374,407,330,415,390,391,1020,1022,392,393,992,995,998,1001,394,978,399,400,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524])).
% 4.89/4.90 cnf(1037,plain,
% 4.89/4.90 (~P2(a125,a1)),
% 4.89/4.90 inference(scs_inference,[],[389,972,975,385,335,340,346,350,354,370,374,407,330,415,390,391,1020,1022,392,393,992,995,998,1001,394,978,399,400,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492])).
% 4.89/4.90 cnf(1042,plain,
% 4.89/4.90 (E(f145(x10421,x10421),x10421)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1045,plain,
% 4.89/4.90 (E(f145(x10451,x10451),x10451)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1048,plain,
% 4.89/4.90 (E(f145(x10481,x10481),x10481)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1051,plain,
% 4.89/4.90 (E(f145(x10511,a1),x10511)),
% 4.89/4.90 inference(rename_variables,[],[386])).
% 4.89/4.90 cnf(1054,plain,
% 4.89/4.90 (P2(f34(x10541),x10541)),
% 4.89/4.90 inference(rename_variables,[],[394])).
% 4.89/4.90 cnf(1057,plain,
% 4.89/4.90 (P2(f34(x10571),x10571)),
% 4.89/4.90 inference(rename_variables,[],[394])).
% 4.89/4.90 cnf(1059,plain,
% 4.89/4.90 (~P13(x10591,f145(f143(x10592,f12(x10591)),f143(x10592,f12(x10591))))),
% 4.89/4.90 inference(scs_inference,[],[389,972,975,385,335,340,346,350,354,370,374,407,330,415,390,1024,1042,1045,1048,391,1020,1022,1027,392,393,992,995,998,1001,394,978,1006,1054,399,400,386,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645])).
% 4.89/4.90 cnf(1060,plain,
% 4.89/4.90 (E(f145(x10601,x10601),x10601)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1062,plain,
% 4.89/4.90 (~P13(x10621,f34(f132(a1)))),
% 4.89/4.90 inference(scs_inference,[],[389,972,975,385,335,340,346,350,354,370,374,407,330,415,390,1024,1042,1045,1048,391,1020,1022,1027,392,393,992,995,998,1001,394,978,1006,1054,1057,399,400,386,387,411,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624])).
% 4.89/4.90 cnf(1065,plain,
% 4.89/4.90 (E(f145(x10651,x10651),x10651)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1068,plain,
% 4.89/4.90 (E(f145(x10681,x10681),x10681)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1071,plain,
% 4.89/4.90 (E(f145(x10711,x10711),x10711)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1074,plain,
% 4.89/4.90 (E(f145(x10741,x10741),x10741)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1077,plain,
% 4.89/4.90 (E(f145(x10771,x10771),x10771)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1080,plain,
% 4.89/4.90 (E(f145(x10801,x10801),x10801)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1083,plain,
% 4.89/4.90 (E(f145(x10831,x10831),x10831)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1088,plain,
% 4.89/4.90 (E(f145(x10881,a1),x10881)),
% 4.89/4.90 inference(rename_variables,[],[386])).
% 4.89/4.90 cnf(1094,plain,
% 4.89/4.90 (P17(a11,f34(f132(a1)))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,335,340,346,350,354,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,391,1020,1022,1027,392,393,992,995,998,1001,394,978,1006,1054,1057,399,400,386,1051,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622])).
% 4.89/4.90 cnf(1096,plain,
% 4.89/4.90 (~P13(x10961,f147(f12(x10961),f12(x10961)))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,335,340,346,350,354,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,391,1020,1022,1027,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742])).
% 4.89/4.90 cnf(1098,plain,
% 4.89/4.90 (P21(a1,a1)),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,335,340,346,350,354,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,391,1020,1022,1027,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583])).
% 4.89/4.90 cnf(1105,plain,
% 4.89/4.90 (E(f145(x11051,a1),x11051)),
% 4.89/4.90 inference(rename_variables,[],[386])).
% 4.89/4.90 cnf(1107,plain,
% 4.89/4.90 (P13(f12(f19(a1,x11071)),f143(f12(f12(f19(a1,x11071))),f19(a1,x11071)))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,335,338,340,342,346,347,350,354,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,391,1020,1022,1027,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659])).
% 4.89/4.90 cnf(1108,plain,
% 4.89/4.90 (E(f145(x11081,a1),x11081)),
% 4.89/4.90 inference(rename_variables,[],[386])).
% 4.89/4.90 cnf(1109,plain,
% 4.89/4.90 (P13(x11091,f12(x11091))),
% 4.89/4.90 inference(rename_variables,[],[391])).
% 4.89/4.90 cnf(1115,plain,
% 4.89/4.90 (E(f145(x11151,a1),x11151)),
% 4.89/4.90 inference(rename_variables,[],[386])).
% 4.89/4.90 cnf(1118,plain,
% 4.89/4.90 (E(f145(x11181,a1),x11181)),
% 4.89/4.90 inference(rename_variables,[],[386])).
% 4.89/4.90 cnf(1121,plain,
% 4.89/4.90 (E(f145(x11211,x11211),x11211)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1125,plain,
% 4.89/4.90 (E(f145(x11251,x11251),x11251)),
% 4.89/4.90 inference(rename_variables,[],[390])).
% 4.89/4.90 cnf(1131,plain,
% 4.89/4.90 (P7(x11311,f143(a1,x11312))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509])).
% 4.89/4.90 cnf(1143,plain,
% 4.89/4.90 (P8(a6)),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420])).
% 4.89/4.90 cnf(1145,plain,
% 4.89/4.90 (E(a6,a1)),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418])).
% 4.89/4.90 cnf(1149,plain,
% 4.89/4.90 (P24(f135(f144(x11491,a11)),x11491)),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670])).
% 4.89/4.90 cnf(1155,plain,
% 4.89/4.90 (P24(f144(x11551,a11),a11)),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576])).
% 4.89/4.90 cnf(1165,plain,
% 4.89/4.90 (P19(f144(x11651,a11))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511])).
% 4.89/4.90 cnf(1177,plain,
% 4.89/4.90 (P19(f135(a1))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443])).
% 4.89/4.90 cnf(1423,plain,
% 4.89/4.90 (E(f2(f5(a1),x14231),f2(a1,x14231))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58])).
% 4.89/4.90 cnf(1427,plain,
% 4.89/4.90 (E(f141(f5(a1),x14271),f141(a1,x14271))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54])).
% 4.89/4.90 cnf(1474,plain,
% 4.89/4.90 (E(f128(f5(a1)),f128(a1))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 4.89/4.90 cnf(1479,plain,
% 4.89/4.90 (~E(f149(f149(x14791,f149(x14792,x14792)),f149(x14791,x14791)),f149(f149(x14793,a1),f149(x14793,x14793)))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807])).
% 4.89/4.90 cnf(1489,plain,
% 4.89/4.90 (~P7(f149(x14891,x14891),f12(x14891))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685])).
% 4.89/4.90 cnf(1511,plain,
% 4.89/4.90 (P7(f149(f12(f19(a1,x15111)),f12(f19(a1,x15111))),f19(a1,x15111))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592])).
% 4.89/4.90 cnf(1543,plain,
% 4.89/4.90 (P10(f145(a1,f149(a1,a1)))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696])).
% 4.89/4.90 cnf(1545,plain,
% 4.89/4.90 (P9(f145(a1,f149(a1,a1)))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695])).
% 4.89/4.90 cnf(1547,plain,
% 4.89/4.90 (P11(f145(a1,f149(a1,a1)))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694])).
% 4.89/4.90 cnf(1549,plain,
% 4.89/4.90 (~E(f143(f12(x15491),f149(x15491,x15491)),f12(x15491))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688])).
% 4.89/4.90 cnf(1551,plain,
% 4.89/4.90 (~E(f143(f149(x15511,x15511),f143(f149(x15511,x15511),f12(x15511))),a1)),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688,662])).
% 4.89/4.90 cnf(1559,plain,
% 4.89/4.90 (E(f143(f149(a1,a1),f143(f149(a1,a1),f5(a1))),a1)),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688,662,635,633,632,625])).
% 4.89/4.90 cnf(1581,plain,
% 4.89/4.90 (~P24(f149(f149(x15811,x15811),f149(x15811,x15811)),f149(a1,a1))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,395,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688,662,635,633,632,625,608,598,596,573,513,486,853,802,776,725,719])).
% 4.89/4.90 cnf(1585,plain,
% 4.89/4.90 (P2(f147(a1,f34(f132(a1))),f132(a1))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,395,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688,662,635,633,632,625,608,598,596,573,513,486,853,802,776,725,719,700,669])).
% 4.89/4.90 cnf(1588,plain,
% 4.89/4.90 (P13(x15881,f13(x15881))),
% 4.89/4.90 inference(rename_variables,[],[392])).
% 4.89/4.90 cnf(1596,plain,
% 4.89/4.90 (~E(f149(f149(f149(x15961,x15961),x15962),f149(f149(x15961,x15961),f149(x15961,x15961))),f149(f149(a1,x15963),f149(a1,a1)))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,395,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688,662,635,633,632,625,608,598,596,573,513,486,853,802,776,725,719,700,669,668,654,753,606,808])).
% 4.89/4.90 cnf(1601,plain,
% 4.89/4.90 (~P13(x16011,f143(a1,x16012))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,412,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,1125,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,395,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688,662,635,633,632,625,608,598,596,573,513,486,853,802,776,725,719,700,669,668,654,753,606,808,307,306,292,642])).
% 4.89/4.90 cnf(1607,plain,
% 4.89/4.90 (P20(f144(a107,a11),a11)),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,412,385,1033,335,336,337,338,340,342,346,347,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,1125,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,395,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688,662,635,633,632,625,608,598,596,573,513,486,853,802,776,725,719,700,669,668,654,753,606,808,307,306,292,642,603,602,521])).
% 4.89/4.90 cnf(1613,plain,
% 4.89/4.90 (E(f5(a1),f146(f5(a1)))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,412,385,1033,335,336,337,338,340,342,346,347,348,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,1125,391,1020,1022,1027,1109,392,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,395,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688,662,635,633,632,625,608,598,596,573,513,486,853,802,776,725,719,700,669,668,654,753,606,808,307,306,292,642,603,602,521,482,481,419])).
% 4.89/4.90 cnf(1626,plain,
% 4.89/4.90 (P24(a1,x16261)),
% 4.89/4.90 inference(rename_variables,[],[385])).
% 4.89/4.90 cnf(1628,plain,
% 4.89/4.90 (P13(a1,f12(x16281))),
% 4.89/4.90 inference(scs_inference,[],[361,389,972,975,1016,412,385,1033,1626,335,336,337,338,340,342,346,347,348,350,354,360,364,370,374,407,330,415,390,1024,1042,1045,1048,1060,1065,1068,1071,1074,1077,1080,1083,1121,1125,391,1020,1022,1027,1109,392,1588,393,992,995,998,1001,1008,394,978,1006,1054,1057,399,1014,400,386,1051,1088,1105,1108,1115,1118,387,411,380,395,383,398,2,562,507,484,477,475,462,447,664,663,574,474,463,4,595,516,506,710,709,649,648,329,316,312,311,310,304,303,302,301,300,296,293,291,290,289,3,641,604,578,524,492,434,718,717,716,713,647,646,645,624,611,610,609,566,565,527,526,429,580,433,622,742,583,534,476,660,659,581,745,740,797,673,605,564,509,508,428,425,422,421,420,418,530,670,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,851,807,693,692,691,687,685,680,679,667,653,628,626,613,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,786,732,706,705,696,695,694,688,662,635,633,632,625,608,598,596,573,513,486,853,802,776,725,719,700,669,668,654,753,606,808,307,306,292,642,603,602,521,482,481,419,760,759,682,681,678,658,657])).
% 4.89/4.90 cnf(1751,plain,
% 4.89/4.90 (P21(x17511,x17511)+~P11(x17511)),
% 4.89/4.90 inference(scs_inference,[],[349,481])).
% 4.89/4.90 cnf(1755,plain,
% 4.89/4.90 (~P13(x17551,a1)),
% 4.89/4.90 inference(rename_variables,[],[961])).
% 4.89/4.90 cnf(1758,plain,
% 4.89/4.90 (~P13(f12(x17581),x17581)),
% 4.89/4.90 inference(rename_variables,[],[957])).
% 4.89/4.90 cnf(1759,plain,
% 4.89/4.90 (~P19(x17591)+~P13(f149(f149(x17592,x17593),f149(x17592,x17592)),x17591)+P13(x17593,f138(x17591))),
% 4.89/4.90 inference(rename_variables,[],[827])).
% 4.89/4.90 cnf(1761,plain,
% 4.89/4.90 (~P13(f12(x17611),x17611)),
% 4.89/4.90 inference(rename_variables,[],[957])).
% 4.89/4.90 cnf(1764,plain,
% 4.89/4.90 (~P13(f12(x17641),x17641)),
% 4.89/4.90 inference(rename_variables,[],[957])).
% 4.89/4.90 cnf(1769,plain,
% 4.89/4.90 (P24(f143(x17691,x17692),x17691)),
% 4.89/4.90 inference(rename_variables,[],[400])).
% 4.89/4.90 cnf(1773,plain,
% 4.89/4.90 (~E(f145(x17731,f149(x17731,x17731)),f142(f34(f132(a1))))),
% 4.89/4.90 inference(scs_inference,[],[361,349,385,400,405,346,1096,957,1758,1761,1062,1551,961,1751,491,827,768,728,707,672,862,778])).
% 4.89/4.90 cnf(1774,plain,
% 4.89/4.90 (~P13(x17741,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1776,plain,
% 4.89/4.90 (~E(f145(x17761,f149(x17761,x17761)),f3(x17762,f34(f132(a1))))),
% 4.89/4.90 inference(scs_inference,[],[361,349,385,400,405,346,1096,957,1758,1761,1062,1774,1551,961,1751,491,827,768,728,707,672,862,778,897])).
% 4.89/4.90 cnf(1777,plain,
% 4.89/4.90 (~P13(x17771,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1779,plain,
% 4.89/4.90 (~E(f145(x17791,f149(x17791,x17791)),f3(f34(f132(a1)),x17792))),
% 4.89/4.90 inference(scs_inference,[],[361,349,385,400,405,346,1096,957,1758,1761,1062,1774,1777,1551,961,1751,491,827,768,728,707,672,862,778,897,896])).
% 4.89/4.90 cnf(1780,plain,
% 4.89/4.90 (~P13(x17801,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1783,plain,
% 4.89/4.90 (~P13(x17831,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1786,plain,
% 4.89/4.90 (~P13(x17861,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1789,plain,
% 4.89/4.90 (~P13(x17891,a1)),
% 4.89/4.90 inference(rename_variables,[],[961])).
% 4.89/4.90 cnf(1791,plain,
% 4.89/4.90 (P26(f5(a1))),
% 4.89/4.90 inference(scs_inference,[],[361,349,385,400,405,346,360,1096,957,1758,1761,1062,1774,1777,1780,1783,965,1551,961,1755,980,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824])).
% 4.89/4.90 cnf(1792,plain,
% 4.89/4.90 (~P13(x17921,f5(a1))),
% 4.89/4.90 inference(rename_variables,[],[965])).
% 4.89/4.90 cnf(1795,plain,
% 4.89/4.90 (~P13(x17951,a1)),
% 4.89/4.90 inference(rename_variables,[],[961])).
% 4.89/4.90 cnf(1797,plain,
% 4.89/4.90 (P4(f5(a1))),
% 4.89/4.90 inference(scs_inference,[],[361,349,385,400,405,346,360,1096,957,1758,1761,1062,1774,1777,1780,1783,965,1792,1551,961,1755,1789,980,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822])).
% 4.89/4.90 cnf(1798,plain,
% 4.89/4.90 (~P13(x17981,f5(a1))),
% 4.89/4.90 inference(rename_variables,[],[965])).
% 4.89/4.90 cnf(1801,plain,
% 4.89/4.90 (~P13(x18011,a1)),
% 4.89/4.90 inference(rename_variables,[],[961])).
% 4.89/4.90 cnf(1804,plain,
% 4.89/4.90 (~P13(x18041,f5(a1))),
% 4.89/4.90 inference(rename_variables,[],[965])).
% 4.89/4.90 cnf(1807,plain,
% 4.89/4.90 (~P13(x18071,a1)),
% 4.89/4.90 inference(rename_variables,[],[961])).
% 4.89/4.90 cnf(1812,plain,
% 4.89/4.90 (~P13(x18121,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1813,plain,
% 4.89/4.90 (~P13(x18131,f143(a1,x18132))),
% 4.89/4.90 inference(rename_variables,[],[1601])).
% 4.89/4.90 cnf(1818,plain,
% 4.89/4.90 (~P13(x18181,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1819,plain,
% 4.89/4.90 (~P13(x18191,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1822,plain,
% 4.89/4.90 (~P13(x18221,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1823,plain,
% 4.89/4.90 (~P13(x18231,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1826,plain,
% 4.89/4.90 (~P13(x18261,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1830,plain,
% 4.89/4.90 (~P13(x18301,f143(a1,x18302))),
% 4.89/4.90 inference(rename_variables,[],[1601])).
% 4.89/4.90 cnf(1831,plain,
% 4.89/4.90 (~P13(x18311,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1833,plain,
% 4.89/4.90 (E(f34(f132(a1)),f143(x18331,f143(x18331,f34(f132(a1)))))),
% 4.89/4.90 inference(scs_inference,[],[361,349,385,400,405,346,411,360,1096,957,1758,1761,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1818,1823,1601,1813,965,1792,1798,1551,961,1755,1789,1795,1801,980,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854])).
% 4.89/4.90 cnf(1834,plain,
% 4.89/4.90 (~P13(x18341,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1835,plain,
% 4.89/4.90 (~P13(x18351,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1838,plain,
% 4.89/4.90 (~P13(x18381,f5(a1))),
% 4.89/4.90 inference(rename_variables,[],[965])).
% 4.89/4.90 cnf(1843,plain,
% 4.89/4.90 (~P13(x18431,a1)),
% 4.89/4.90 inference(rename_variables,[],[961])).
% 4.89/4.90 cnf(1848,plain,
% 4.89/4.90 (P24(x18481,x18481)),
% 4.89/4.90 inference(rename_variables,[],[389])).
% 4.89/4.90 cnf(1849,plain,
% 4.89/4.90 (P2(f34(x18491),x18491)),
% 4.89/4.90 inference(rename_variables,[],[394])).
% 4.89/4.90 cnf(1852,plain,
% 4.89/4.90 (P2(f34(x18521),x18521)),
% 4.89/4.90 inference(rename_variables,[],[394])).
% 4.89/4.90 cnf(1854,plain,
% 4.89/4.90 (P2(x18541,f132(x18541))),
% 4.89/4.90 inference(rename_variables,[],[393])).
% 4.89/4.90 cnf(1857,plain,
% 4.89/4.90 (~P13(x18571,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1860,plain,
% 4.89/4.90 (~P13(x18601,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1863,plain,
% 4.89/4.90 (~P13(x18631,a1)),
% 4.89/4.90 inference(rename_variables,[],[961])).
% 4.89/4.90 cnf(1866,plain,
% 4.89/4.90 (~P13(x18661,a1)),
% 4.89/4.90 inference(rename_variables,[],[961])).
% 4.89/4.90 cnf(1869,plain,
% 4.89/4.90 (P24(x18691,x18691)),
% 4.89/4.90 inference(rename_variables,[],[389])).
% 4.89/4.90 cnf(1871,plain,
% 4.89/4.90 (~E(f145(x18711,f149(x18711,x18711)),f135(a1))),
% 4.89/4.90 inference(scs_inference,[],[361,341,349,351,362,389,1848,385,393,394,1849,400,405,346,411,360,1096,957,1758,1761,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1818,1823,1131,1601,1813,965,1792,1798,1804,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,980,1009,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935])).
% 4.89/4.90 cnf(1872,plain,
% 4.89/4.90 (~P13(x18721,a1)),
% 4.89/4.90 inference(rename_variables,[],[961])).
% 4.89/4.90 cnf(1874,plain,
% 4.89/4.90 (~E(f145(x18741,f149(x18741,x18741)),f137(a1,x18742))),
% 4.89/4.90 inference(scs_inference,[],[361,341,349,351,362,389,1848,385,393,394,1849,400,405,346,411,360,1096,957,1758,1761,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1818,1823,1131,1601,1813,965,1792,1798,1804,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953])).
% 4.89/4.90 cnf(1878,plain,
% 4.89/4.90 (~P13(x18781,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1879,plain,
% 4.89/4.90 (~P13(x18791,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1882,plain,
% 4.89/4.90 (~P13(x18821,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1888,plain,
% 4.89/4.90 (~P13(x18881,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1891,plain,
% 4.89/4.90 (~P13(x18911,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1894,plain,
% 4.89/4.90 (~P13(x18941,f5(a1))),
% 4.89/4.90 inference(rename_variables,[],[965])).
% 4.89/4.90 cnf(1896,plain,
% 4.89/4.90 (~P13(x18961,f5(f134(a1,a1)))),
% 4.89/4.90 inference(scs_inference,[],[361,341,349,351,362,389,1848,385,393,394,1849,400,405,346,340,411,360,1096,957,1758,1761,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1834,1879,1818,1823,1131,1601,1813,965,1792,1798,1804,1838,1894,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795])).
% 4.89/4.90 cnf(1897,plain,
% 4.89/4.90 (~P13(x18971,f5(a1))),
% 4.89/4.90 inference(rename_variables,[],[965])).
% 4.89/4.90 cnf(1901,plain,
% 4.89/4.90 (~P13(f145(x19011,f149(x19011,x19011)),x19011)),
% 4.89/4.90 inference(scs_inference,[],[361,341,349,351,362,389,1848,385,393,394,1849,400,405,346,340,411,360,1096,957,1758,1761,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1834,1879,1818,1823,1131,1601,1813,965,1792,1798,1804,1838,1894,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562])).
% 4.89/4.90 cnf(1903,plain,
% 4.89/4.90 (~E(f145(x19031,f149(x19031,x19031)),a1)),
% 4.89/4.90 inference(scs_inference,[],[361,341,349,351,362,389,1848,385,393,394,1849,400,405,346,340,411,360,1096,957,1758,1761,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1834,1879,1818,1823,1131,1601,1813,965,1792,1798,1804,1838,1894,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475])).
% 4.89/4.90 cnf(1910,plain,
% 4.89/4.90 (~P13(x19101,f34(f132(a1)))),
% 4.89/4.90 inference(rename_variables,[],[1062])).
% 4.89/4.90 cnf(1913,plain,
% 4.89/4.90 (~P13(f12(x19131),x19131)),
% 4.89/4.90 inference(rename_variables,[],[957])).
% 4.89/4.90 cnf(1916,plain,
% 4.89/4.90 (~P13(x19161,f147(f12(x19161),f12(x19161)))),
% 4.89/4.90 inference(rename_variables,[],[1096])).
% 4.89/4.90 cnf(1919,plain,
% 4.89/4.90 (~P13(x19191,f147(f12(x19191),f12(x19191)))),
% 4.89/4.90 inference(rename_variables,[],[1096])).
% 4.89/4.90 cnf(1921,plain,
% 4.89/4.90 (~E(f145(x19211,f149(x19211,x19211)),f143(x19212,f145(x19211,f149(x19211,x19211))))),
% 4.89/4.90 inference(scs_inference,[],[361,341,349,351,408,384,362,389,1848,385,393,394,1849,400,405,346,340,411,360,1096,1916,957,1758,1761,1764,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1834,1879,1818,1823,1131,1601,1813,965,1792,1798,1804,1838,1894,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645])).
% 4.89/4.90 cnf(1924,plain,
% 4.89/4.90 (P13(x19241,f145(x19241,f149(x19241,x19241)))),
% 4.89/4.90 inference(rename_variables,[],[405])).
% 4.89/4.90 cnf(1927,plain,
% 4.89/4.90 (P13(x19271,f145(x19271,f149(x19271,x19271)))),
% 4.89/4.90 inference(rename_variables,[],[405])).
% 4.89/4.90 cnf(1930,plain,
% 4.89/4.90 (P13(x19301,f145(x19301,f149(x19301,x19301)))),
% 4.89/4.90 inference(rename_variables,[],[405])).
% 4.89/4.90 cnf(1933,plain,
% 4.89/4.90 (P13(x19331,f12(x19331))),
% 4.89/4.90 inference(rename_variables,[],[391])).
% 4.89/4.90 cnf(1936,plain,
% 4.89/4.90 (~P13(x19361,f147(f12(x19361),f12(x19361)))),
% 4.89/4.90 inference(rename_variables,[],[1096])).
% 4.89/4.90 cnf(1939,plain,
% 4.89/4.90 (E(f143(x19391,f143(x19391,x19391)),x19391)),
% 4.89/4.90 inference(rename_variables,[],[401])).
% 4.89/4.90 cnf(1943,plain,
% 4.89/4.90 (P13(a1,f13(x19431))),
% 4.89/4.90 inference(scs_inference,[],[361,341,349,351,408,384,401,362,389,1848,385,393,394,1849,400,405,1924,1927,391,392,415,346,340,411,360,1096,1916,1919,1936,957,1758,1761,1764,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1834,1879,1818,1823,1131,1601,1813,965,1792,1798,1804,1838,1894,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658])).
% 4.89/4.90 cnf(1950,plain,
% 4.89/4.90 (P24(x19501,x19501)),
% 4.89/4.90 inference(rename_variables,[],[389])).
% 4.89/4.90 cnf(1952,plain,
% 4.89/4.90 (~P13(x19521,f24(x19521,f145(x19521,f149(x19521,x19521))))),
% 4.89/4.90 inference(scs_inference,[],[361,341,349,351,375,408,384,401,362,368,389,1848,1869,385,393,394,1849,400,405,1924,1927,1930,391,392,415,346,340,411,360,1096,1916,1919,1936,957,1758,1761,1764,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1834,1879,1818,1823,1131,1601,1813,965,1792,1798,1804,1838,1894,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724])).
% 4.89/4.90 cnf(1957,plain,
% 4.89/4.90 (~P13(f12(x19571),x19571)),
% 4.89/4.90 inference(rename_variables,[],[957])).
% 4.89/4.90 cnf(1962,plain,
% 4.89/4.90 (P24(x19621,x19621)),
% 4.89/4.90 inference(rename_variables,[],[389])).
% 4.89/4.90 cnf(1966,plain,
% 4.89/4.90 (P12(f129(a123))),
% 4.89/4.90 inference(scs_inference,[],[361,341,343,349,351,371,375,408,384,401,362,365,368,389,1848,1869,1950,385,393,1854,394,1849,399,400,405,1924,1927,1930,391,392,415,346,340,411,360,1096,1916,1919,1936,957,1758,1761,1764,1913,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1834,1879,1818,1823,1131,1601,1813,965,1792,1798,1804,1838,1894,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490])).
% 4.89/4.90 cnf(1968,plain,
% 4.89/4.90 (~P13(f149(f149(f149(x19681,x19681),a1),f149(f149(x19681,x19681),f149(x19681,x19681))),f128(f5(a1)))),
% 4.89/4.90 inference(scs_inference,[],[361,341,343,349,351,371,375,408,384,401,362,365,368,389,1848,1869,1950,385,393,1854,394,1849,399,400,380,405,1924,1927,1930,391,392,415,346,340,411,360,1096,1916,1919,1936,957,1758,1761,1764,1913,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1834,1879,1818,1823,1131,1601,1813,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817])).
% 4.89/4.90 cnf(1969,plain,
% 4.89/4.90 (P19(f128(x19691))),
% 4.89/4.90 inference(rename_variables,[],[380])).
% 4.89/4.90 cnf(1976,plain,
% 4.89/4.90 (~P13(f12(x19761),x19761)),
% 4.89/4.90 inference(rename_variables,[],[957])).
% 4.89/4.90 cnf(1979,plain,
% 4.89/4.90 (~P13(f12(x19791),x19791)),
% 4.89/4.90 inference(rename_variables,[],[957])).
% 4.89/4.90 cnf(1985,plain,
% 4.89/4.90 (~P13(f149(x19851,x19851),f149(a1,a1))),
% 4.89/4.90 inference(scs_inference,[],[361,341,343,349,351,371,375,408,384,401,362,365,368,389,1848,1869,1950,385,393,1854,394,1849,399,400,380,405,1924,1927,1930,391,392,415,346,340,411,360,1096,1916,1919,1936,957,1758,1761,1764,1913,1957,1976,1581,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1834,1879,1818,1823,1131,1601,1813,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628])).
% 4.89/4.90 cnf(1987,plain,
% 4.89/4.90 (P13(f19(f149(x19871,x19871),f12(x19871)),f149(x19871,x19871))),
% 4.89/4.90 inference(scs_inference,[],[361,341,343,349,351,371,375,408,384,401,362,365,368,389,1848,1869,1950,385,393,1854,394,1849,399,400,380,405,1924,1927,1930,391,392,415,346,340,411,360,1096,1916,1919,1936,1489,957,1758,1761,1764,1913,1957,1976,1581,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1834,1879,1818,1823,1131,1601,1813,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595])).
% 4.89/4.90 cnf(1992,plain,
% 4.89/4.90 (P24(f143(x19921,x19922),x19921)),
% 4.89/4.90 inference(rename_variables,[],[400])).
% 4.89/4.90 cnf(1997,plain,
% 4.89/4.90 (~P13(x19971,f147(f12(x19971),f12(x19971)))),
% 4.89/4.90 inference(rename_variables,[],[1096])).
% 4.89/4.90 cnf(2014,plain,
% 4.89/4.90 (P13(x20141,f145(x20141,f149(x20141,x20141)))),
% 4.89/4.90 inference(rename_variables,[],[405])).
% 4.89/4.90 cnf(2017,plain,
% 4.89/4.90 (P13(x20171,f145(x20171,f149(x20171,x20171)))),
% 4.89/4.90 inference(rename_variables,[],[405])).
% 4.89/4.90 cnf(2019,plain,
% 4.89/4.90 (~P7(f12(x20191),f149(x20191,x20191))),
% 4.89/4.90 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,401,362,365,368,389,1848,1869,1950,385,393,1854,394,1849,399,400,1769,380,405,1924,1927,1930,2014,391,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,1489,957,1758,1761,1764,1913,1957,1976,1581,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1834,1879,1818,1823,1131,1601,1813,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515])).
% 4.89/4.90 cnf(2021,plain,
% 4.89/4.90 (~P7(f145(x20211,f149(x20211,x20211)),f145(x20211,f149(x20211,x20211)))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,401,362,365,368,389,1848,1869,1950,385,393,1854,394,1849,399,400,1769,380,405,1924,1927,1930,2014,2017,391,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,1489,957,1758,1761,1764,1913,1957,1976,1581,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1834,1879,1818,1823,1131,1601,1813,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642])).
% 4.89/4.91 cnf(2033,plain,
% 4.89/4.91 (~P13(x20331,f34(f132(a1)))),
% 4.89/4.91 inference(rename_variables,[],[1062])).
% 4.89/4.91 cnf(2037,plain,
% 4.89/4.91 (P11(f145(f149(a1,a1),a1))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,397,401,362,365,368,389,1848,1869,1950,385,393,1854,394,1849,399,400,1769,380,405,1924,1927,1930,2014,2017,391,1933,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,1489,957,1758,1761,1764,1913,1957,1976,1581,1098,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,1834,1879,1818,1823,1131,1601,1813,1545,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310])).
% 4.89/4.91 cnf(2038,plain,
% 4.89/4.91 (~P13(x20381,f143(f143(a1,x20382),f143(f143(a1,x20382),f143(a1,x20382))))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,397,401,1939,362,365,368,389,1848,1869,1950,385,393,1854,394,1849,399,400,1769,380,405,1924,1927,1930,2014,2017,391,1933,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,1489,957,1758,1761,1764,1913,1957,1976,1581,1098,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291])).
% 4.89/4.91 cnf(2039,plain,
% 4.89/4.91 (E(f143(x20391,f143(x20391,x20391)),x20391)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2041,plain,
% 4.89/4.91 (E(f143(x20411,f143(x20411,x20411)),x20411)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2043,plain,
% 4.89/4.91 (P13(x20431,f145(x20431,f149(x20431,x20431)))),
% 4.89/4.91 inference(rename_variables,[],[405])).
% 4.89/4.91 cnf(2045,plain,
% 4.89/4.91 (~P24(f145(x20451,f149(x20451,x20451)),f147(f12(x20451),f12(x20451)))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,397,401,1939,2039,362,365,368,389,1848,1869,1950,385,393,1854,394,1849,399,400,1769,380,405,1924,1927,1930,2014,2017,2043,391,1933,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,1489,957,1758,1761,1764,1913,1957,1976,1581,1098,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602])).
% 4.89/4.91 cnf(2046,plain,
% 4.89/4.91 (~P13(x20461,f147(f12(x20461),f12(x20461)))),
% 4.89/4.91 inference(rename_variables,[],[1096])).
% 4.89/4.91 cnf(2051,plain,
% 4.89/4.91 (~P13(x20511,f147(f12(x20511),f12(x20511)))),
% 4.89/4.91 inference(rename_variables,[],[1096])).
% 4.89/4.91 cnf(2054,plain,
% 4.89/4.91 (P13(x20541,f145(x20541,f149(x20541,x20541)))),
% 4.89/4.91 inference(rename_variables,[],[405])).
% 4.89/4.91 cnf(2061,plain,
% 4.89/4.91 (~P13(x20611,f147(f12(x20611),f12(x20611)))),
% 4.89/4.91 inference(rename_variables,[],[1096])).
% 4.89/4.91 cnf(2068,plain,
% 4.89/4.91 (~P13(f12(x20681),x20681)),
% 4.89/4.91 inference(rename_variables,[],[957])).
% 4.89/4.91 cnf(2070,plain,
% 4.89/4.91 (~P13(f145(f12(f12(x20701)),x20702),f12(x20701))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,397,401,1939,2039,362,365,368,389,1848,1869,1950,1962,385,393,1854,394,1849,1852,399,400,1769,380,405,1924,1927,1930,2014,2017,2043,2054,391,1933,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1581,1098,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1037,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657])).
% 4.89/4.91 cnf(2083,plain,
% 4.89/4.91 (~P13(f12(f13(x20831)),x20831)),
% 4.89/4.91 inference(rename_variables,[],[1026])).
% 4.89/4.91 cnf(2090,plain,
% 4.89/4.91 (~P13(x20901,f34(f132(a1)))),
% 4.89/4.91 inference(rename_variables,[],[1062])).
% 4.89/4.91 cnf(2100,plain,
% 4.89/4.91 (~P24(f145(a1,f149(a1,a1)),a1)),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,397,401,1939,2039,362,365,368,389,1848,1869,1950,1962,385,393,1854,394,1849,1852,399,400,1769,380,405,1924,1927,1930,2014,2017,2043,2054,391,1933,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1026,1581,1098,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,2033,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1037,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657,597,551,550,549,468,829,764,701,622,720,704,638,801,583])).
% 4.89/4.91 cnf(2103,plain,
% 4.89/4.91 (P13(x21031,f12(x21031))),
% 4.89/4.91 inference(rename_variables,[],[391])).
% 4.89/4.91 cnf(2104,plain,
% 4.89/4.91 (P13(x21041,f145(x21041,f149(x21041,x21041)))),
% 4.89/4.91 inference(rename_variables,[],[405])).
% 4.89/4.91 cnf(2105,plain,
% 4.89/4.91 (~P13(x21051,f147(f12(x21051),f12(x21051)))),
% 4.89/4.91 inference(rename_variables,[],[1096])).
% 4.89/4.91 cnf(2109,plain,
% 4.89/4.91 (E(f5(f128(f5(a1))),a1)),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,397,401,1939,2039,362,365,368,389,1848,1869,1950,1962,385,393,1854,394,1849,1852,399,400,1769,378,380,1969,405,1924,1927,1930,2014,2017,2043,2054,391,1933,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1026,1581,1098,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,2033,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1037,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657,597,551,550,549,468,829,764,701,622,720,704,638,801,583,745,488,478])).
% 4.89/4.91 cnf(2115,plain,
% 4.89/4.91 (E(f129(a123),f136(a123))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,397,401,1939,2039,362,365,368,389,1848,1869,1950,1962,385,393,1854,394,1849,1852,399,400,1769,378,380,1969,405,1924,1927,1930,2014,2017,2043,2054,391,1933,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1026,1581,1098,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,2033,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1037,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657,597,551,550,549,468,829,764,701,622,720,704,638,801,583,745,488,478,500,483])).
% 4.89/4.91 cnf(2118,plain,
% 4.89/4.91 (P13(x21181,f145(x21181,f149(x21181,x21181)))),
% 4.89/4.91 inference(rename_variables,[],[405])).
% 4.89/4.91 cnf(2121,plain,
% 4.89/4.91 (E(f143(x21211,f143(x21211,x21211)),x21211)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2127,plain,
% 4.89/4.91 (~P24(f145(f143(a1,x21271),f149(f143(a1,x21271),f143(a1,x21271))),a123)),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,396,397,401,1939,2039,2041,362,365,368,389,1848,1869,1950,1962,385,393,1854,394,1849,1852,399,400,1769,378,380,1969,405,1924,1927,1930,2014,2017,2043,2054,2104,391,1933,392,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1026,1581,1098,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,2033,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1897,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1037,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657,597,551,550,549,468,829,764,701,622,720,704,638,801,583,745,488,478,500,483,740,605,564,447,533])).
% 4.89/4.91 cnf(2132,plain,
% 4.89/4.91 (~P20(x21321,x21321)),
% 4.89/4.91 inference(rename_variables,[],[412])).
% 4.89/4.91 cnf(2153,plain,
% 4.89/4.91 (E(f5(f144(a1,a11)),a1)),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,396,397,401,1939,2039,2041,362,363,365,368,389,1848,1869,1950,1962,412,385,393,1854,394,1849,1852,399,400,1769,378,380,1969,405,1924,1927,1930,2014,2017,2043,2054,2104,2118,391,1933,2103,392,336,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,2105,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1026,1581,1098,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,2033,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1897,1165,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1037,1143,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657,597,551,550,549,468,829,764,701,622,720,704,638,801,583,745,488,478,500,483,740,605,564,447,533,516,306,681,580,558,553,534,476,659,504,662,449])).
% 4.89/4.91 cnf(2158,plain,
% 4.89/4.91 (~E(a1,f149(x21581,x21581))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,396,397,401,1939,2039,2041,362,363,365,368,389,1848,1869,1950,1962,412,385,393,1854,394,1849,1852,399,400,1769,1992,378,380,1969,405,1924,1927,1930,2014,2017,2043,2054,2104,2118,391,1933,2103,392,336,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,2105,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1026,1581,1098,1511,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,2033,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1897,1165,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,956,1607,1037,1143,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657,597,551,550,549,468,829,764,701,622,720,704,638,801,583,745,488,478,500,483,740,605,564,447,533,516,306,681,580,558,553,534,476,659,504,662,449,604,2])).
% 4.89/4.91 cnf(2184,plain,
% 4.89/4.91 (P16(a11,f34(f132(a1)))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,396,397,401,1939,2039,2041,2121,381,382,362,363,365,368,389,1848,1869,1950,1962,412,2132,385,390,393,1854,394,1849,1852,399,400,1769,1992,378,380,1969,405,1924,1927,1930,2014,2017,2043,2054,2104,2118,391,1933,2103,392,336,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,2105,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1026,2083,1581,1479,1098,1511,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,2033,2090,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1897,1165,1543,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1032,1035,1094,956,1607,1037,1143,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657,597,551,550,549,468,829,764,701,622,720,704,638,801,583,745,488,478,500,483,740,605,564,447,533,516,306,681,580,558,553,534,476,659,504,662,449,604,2,26,14,324,322,312,311,307,304,300,290,289,302,303,301,677,320,493,1759,620])).
% 4.89/4.91 cnf(2185,plain,
% 4.89/4.91 (~P13(x21851,f34(f132(a1)))),
% 4.89/4.91 inference(rename_variables,[],[1062])).
% 4.89/4.91 cnf(2188,plain,
% 4.89/4.91 (~P13(x21881,f143(a1,x21882))),
% 4.89/4.91 inference(rename_variables,[],[1601])).
% 4.89/4.91 cnf(2190,plain,
% 4.89/4.91 (P15(a11,f34(f132(a1)))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,396,397,401,1939,2039,2041,2121,381,382,362,363,365,368,389,1848,1869,1950,1962,412,2132,385,390,393,1854,394,1849,1852,399,400,1769,1992,378,380,1969,405,1924,1927,1930,2014,2017,2043,2054,2104,2118,391,1933,2103,392,336,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,2105,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1026,2083,1581,1479,1098,1511,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,2033,2090,2185,1834,1879,1818,1823,1131,1601,1813,1830,1545,1427,965,1792,1798,1804,1838,1894,1897,1165,1543,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1032,1035,1094,956,1607,1037,1143,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657,597,551,550,549,468,829,764,701,622,720,704,638,801,583,745,488,478,500,483,740,605,564,447,533,516,306,681,580,558,553,534,476,659,504,662,449,604,2,26,14,324,322,312,311,307,304,300,290,289,302,303,301,677,320,493,1759,620,619,618])).
% 4.89/4.91 cnf(2191,plain,
% 4.89/4.91 (~P13(x21911,f34(f132(a1)))),
% 4.89/4.91 inference(rename_variables,[],[1062])).
% 4.89/4.91 cnf(2196,plain,
% 4.89/4.91 (P14(a11,f34(f132(a1)))),
% 4.89/4.91 inference(scs_inference,[],[361,339,341,343,349,351,371,375,408,384,396,397,401,1939,2039,2041,2121,381,382,362,363,365,368,389,1848,1869,1950,1962,412,2132,385,390,393,1854,394,1849,1852,399,400,1769,1992,378,380,1969,405,1924,1927,1930,2014,2017,2043,2054,2104,2118,391,1933,2103,392,336,415,346,340,411,360,1549,1096,1916,1919,1936,1997,2046,2051,2061,2105,1489,957,1758,1761,1764,1913,1957,1976,1979,2068,1026,2083,1581,1479,1098,1511,1149,1547,1062,1774,1777,1780,1783,1786,1812,1819,1822,1826,1831,1835,1857,1860,1878,1882,1888,1891,1910,2033,2090,2185,2191,1834,1879,1818,1823,1131,1601,1813,1830,2188,1545,1427,965,1792,1798,1804,1838,1894,1897,1165,1543,1474,1585,1551,961,1755,1789,1795,1801,1807,1843,1863,1866,1872,980,1009,1032,1035,1094,956,1607,1037,1143,1145,1751,491,827,768,728,707,672,862,778,897,896,800,799,825,824,823,822,674,804,915,887,684,936,836,835,834,855,854,582,686,790,699,771,746,899,898,909,943,689,935,953,841,840,871,900,847,795,563,562,475,664,463,594,524,718,716,645,611,610,609,566,527,429,760,658,561,552,749,724,702,767,730,750,755,490,817,501,599,673,784,418,574,628,595,506,578,482,646,624,419,560,559,557,469,708,660,581,515,642,508,484,462,663,4,593,325,316,310,291,3,641,602,492,717,713,647,565,526,759,682,678,657,597,551,550,549,468,829,764,701,622,720,704,638,801,583,745,488,478,500,483,740,605,564,447,533,516,306,681,580,558,553,534,476,659,504,662,449,604,2,26,14,324,322,312,311,307,304,300,290,289,302,303,301,677,320,493,1759,620,619,618,617,616])).
% 4.89/4.91 cnf(2347,plain,
% 4.89/4.91 (~P13(x23471,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2350,plain,
% 4.89/4.91 (~P13(x23501,a1)),
% 4.89/4.91 inference(rename_variables,[],[961])).
% 4.89/4.91 cnf(2351,plain,
% 4.89/4.91 (P13(x23511,f12(x23511))),
% 4.89/4.91 inference(rename_variables,[],[391])).
% 4.89/4.91 cnf(2354,plain,
% 4.89/4.91 (~P13(x23541,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2357,plain,
% 4.89/4.91 (~P13(x23571,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2362,plain,
% 4.89/4.91 (~P13(x23621,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2365,plain,
% 4.89/4.91 (P19(f128(x23651))),
% 4.89/4.91 inference(rename_variables,[],[380])).
% 4.89/4.91 cnf(2370,plain,
% 4.89/4.91 (~P13(f145(x23701,f149(x23701,x23701)),x23701)),
% 4.89/4.91 inference(rename_variables,[],[1901])).
% 4.89/4.91 cnf(2373,plain,
% 4.89/4.91 (~P13(x23731,a1)),
% 4.89/4.91 inference(rename_variables,[],[961])).
% 4.89/4.91 cnf(2374,plain,
% 4.89/4.91 (E(f143(x23741,f143(x23741,x23741)),x23741)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2377,plain,
% 4.89/4.91 (~P13(x23771,a1)),
% 4.89/4.91 inference(rename_variables,[],[961])).
% 4.89/4.91 cnf(2378,plain,
% 4.89/4.91 (E(f143(x23781,f143(x23781,x23781)),x23781)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2381,plain,
% 4.89/4.91 (~P13(x23811,a1)),
% 4.89/4.91 inference(rename_variables,[],[961])).
% 4.89/4.91 cnf(2382,plain,
% 4.89/4.91 (E(f143(x23821,f143(x23821,x23821)),x23821)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2385,plain,
% 4.89/4.91 (~P13(x23851,f34(f132(a1)))),
% 4.89/4.91 inference(rename_variables,[],[1062])).
% 4.89/4.91 cnf(2388,plain,
% 4.89/4.91 (P2(x23881,f132(x23881))),
% 4.89/4.91 inference(rename_variables,[],[393])).
% 4.89/4.91 cnf(2391,plain,
% 4.89/4.91 (~P13(x23911,f143(f143(a1,x23912),f143(f143(a1,x23912),f143(a1,x23912))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2394,plain,
% 4.89/4.91 (P24(x23941,x23941)),
% 4.89/4.91 inference(rename_variables,[],[389])).
% 4.89/4.91 cnf(2397,plain,
% 4.89/4.91 (~P13(x23971,f143(f143(a1,x23972),f143(f143(a1,x23972),f143(a1,x23972))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2398,plain,
% 4.89/4.91 (~P13(x23981,f5(f134(a1,a1)))),
% 4.89/4.91 inference(rename_variables,[],[1896])).
% 4.89/4.91 cnf(2401,plain,
% 4.89/4.91 (~P13(x24011,f143(f143(a1,x24012),f143(f143(a1,x24012),f143(a1,x24012))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2404,plain,
% 4.89/4.91 (~P13(x24041,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2405,plain,
% 4.89/4.91 (~P13(x24051,f143(f143(a1,x24052),f143(f143(a1,x24052),f143(a1,x24052))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2408,plain,
% 4.89/4.91 (~P13(x24081,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2409,plain,
% 4.89/4.91 (~P13(x24091,f143(f143(a1,x24092),f143(f143(a1,x24092),f143(a1,x24092))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2412,plain,
% 4.89/4.91 (~P13(x24121,f143(f143(a1,x24122),f143(f143(a1,x24122),f143(a1,x24122))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2416,plain,
% 4.89/4.91 (~P13(x24161,f143(f143(a1,x24162),f143(f143(a1,x24162),f143(a1,x24162))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2417,plain,
% 4.89/4.91 (~P13(x24171,a1)),
% 4.89/4.91 inference(rename_variables,[],[961])).
% 4.89/4.91 cnf(2420,plain,
% 4.89/4.91 (~P13(x24201,f143(f143(a1,x24202),f143(f143(a1,x24202),f143(a1,x24202))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2425,plain,
% 4.89/4.91 (~P13(x24251,f5(f134(a1,a1)))),
% 4.89/4.91 inference(rename_variables,[],[1896])).
% 4.89/4.91 cnf(2426,plain,
% 4.89/4.91 (~P13(x24261,f143(f143(a1,x24262),f143(f143(a1,x24262),f143(a1,x24262))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2429,plain,
% 4.89/4.91 (~P13(x24291,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2432,plain,
% 4.89/4.91 (~P13(x24321,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2433,plain,
% 4.89/4.91 (E(f143(x24331,f143(x24331,x24331)),x24331)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2438,plain,
% 4.89/4.91 (P24(x24381,f145(x24381,x24382))),
% 4.89/4.91 inference(rename_variables,[],[399])).
% 4.89/4.91 cnf(2441,plain,
% 4.89/4.91 (~P13(x24411,f143(f143(a1,x24412),f143(f143(a1,x24412),f143(a1,x24412))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2447,plain,
% 4.89/4.91 (E(f143(x24471,f143(x24471,x24471)),x24471)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2452,plain,
% 4.89/4.91 (~P13(x24521,f24(x24521,f145(x24521,f149(x24521,x24521))))),
% 4.89/4.91 inference(rename_variables,[],[1952])).
% 4.89/4.91 cnf(2457,plain,
% 4.89/4.91 (E(f143(x24571,f143(x24571,x24571)),x24571)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2460,plain,
% 4.89/4.91 (~E(f149(x24601,x24601),a1)),
% 4.89/4.91 inference(rename_variables,[],[411])).
% 4.89/4.91 cnf(2464,plain,
% 4.89/4.91 (~P13(x24641,f143(f143(a1,x24642),f143(f143(a1,x24642),f143(a1,x24642))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2470,plain,
% 4.89/4.91 (~P13(x24701,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2473,plain,
% 4.89/4.91 (~P13(x24731,f143(f143(a1,x24732),f143(f143(a1,x24732),f143(a1,x24732))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2476,plain,
% 4.89/4.91 (~P13(x24761,f34(f132(a1)))),
% 4.89/4.91 inference(rename_variables,[],[1062])).
% 4.89/4.91 cnf(2490,plain,
% 4.89/4.91 (~P13(x24901,f143(f143(a1,x24902),f143(f143(a1,x24902),f143(a1,x24902))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2493,plain,
% 4.89/4.91 (~P13(x24931,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2494,plain,
% 4.89/4.91 (~P13(x24941,f143(f143(a1,x24942),f143(f143(a1,x24942),f143(a1,x24942))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2500,plain,
% 4.89/4.91 (~P13(x25001,f5(a1))),
% 4.89/4.91 inference(rename_variables,[],[965])).
% 4.89/4.91 cnf(2501,plain,
% 4.89/4.91 (~P13(x25011,f143(f143(a1,x25012),f143(f143(a1,x25012),f143(a1,x25012))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2505,plain,
% 4.89/4.91 (~P13(x25051,f143(f143(a1,x25052),f143(f143(a1,x25052),f143(a1,x25052))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2510,plain,
% 4.89/4.91 (P13(x25101,f12(x25101))),
% 4.89/4.91 inference(rename_variables,[],[391])).
% 4.89/4.91 cnf(2511,plain,
% 4.89/4.91 (~P13(f145(x25111,f149(x25111,x25111)),x25111)),
% 4.89/4.91 inference(rename_variables,[],[1901])).
% 4.89/4.91 cnf(2514,plain,
% 4.89/4.91 (~P13(x25141,f143(f143(a1,x25142),f143(f143(a1,x25142),f143(a1,x25142))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2524,plain,
% 4.89/4.91 (~P13(x25241,f143(f143(a1,x25242),f143(f143(a1,x25242),f143(a1,x25242))))),
% 4.89/4.91 inference(rename_variables,[],[2038])).
% 4.89/4.91 cnf(2529,plain,
% 4.89/4.91 (~P13(f145(x25291,f149(x25291,x25291)),x25291)),
% 4.89/4.91 inference(rename_variables,[],[1901])).
% 4.89/4.91 cnf(2547,plain,
% 4.89/4.91 (P13(x25471,f13(x25471))),
% 4.89/4.91 inference(rename_variables,[],[392])).
% 4.89/4.91 cnf(2552,plain,
% 4.89/4.91 (E(f143(x25521,f143(x25521,x25521)),x25521)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2555,plain,
% 4.89/4.91 (E(f143(x25551,f143(x25551,x25551)),x25551)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2560,plain,
% 4.89/4.91 (~P13(f145(x25601,f149(x25601,x25601)),x25601)),
% 4.89/4.91 inference(rename_variables,[],[1901])).
% 4.89/4.91 cnf(2576,plain,
% 4.89/4.91 (~P13(f145(x25761,f149(x25761,x25761)),x25761)),
% 4.89/4.91 inference(rename_variables,[],[1901])).
% 4.89/4.91 cnf(2579,plain,
% 4.89/4.91 (~P13(f145(x25791,f149(x25791,x25791)),x25791)),
% 4.89/4.91 inference(rename_variables,[],[1901])).
% 4.89/4.91 cnf(2595,plain,
% 4.89/4.91 (P13(x25951,f13(x25951))),
% 4.89/4.91 inference(rename_variables,[],[392])).
% 4.89/4.91 cnf(2600,plain,
% 4.89/4.91 (~P13(f145(x26001,f149(x26001,x26001)),x26001)),
% 4.89/4.91 inference(rename_variables,[],[1901])).
% 4.89/4.91 cnf(2606,plain,
% 4.89/4.91 (P13(x26061,f13(x26061))),
% 4.89/4.91 inference(rename_variables,[],[392])).
% 4.89/4.91 cnf(2609,plain,
% 4.89/4.91 (E(f143(x26091,f143(x26091,x26091)),x26091)),
% 4.89/4.91 inference(rename_variables,[],[401])).
% 4.89/4.91 cnf(2618,plain,
% 4.89/4.91 (P19(f144(x26181,a11))),
% 4.89/4.91 inference(rename_variables,[],[1165])).
% 4.89/4.91 cnf(2630,plain,
% 4.89/4.91 (~P13(x26301,f24(x26301,f145(x26301,f149(x26301,x26301))))),
% 4.89/4.91 inference(rename_variables,[],[1952])).
% 4.89/4.91 cnf(2645,plain,
% 4.89/4.91 ($false),
% 4.89/4.91 inference(scs_inference,[],[415,344,345,372,377,410,402,403,367,369,331,352,388,401,2374,2378,2382,2433,2447,2457,2552,2555,2609,382,389,2394,393,2388,394,400,380,2365,395,391,2351,2510,397,392,2547,2595,2606,399,2438,385,340,411,2460,360,2021,1952,2452,2630,1987,2045,1901,2370,2511,2529,2560,2576,2579,2600,1921,2019,1059,2070,1985,2184,2037,2190,2196,1776,1779,1596,2038,2391,2397,2401,2405,2409,2412,2416,2420,2426,2441,2464,2473,2490,2494,2501,2505,2514,2524,1773,1896,2398,2425,1107,1874,1029,1833,1968,1423,1871,2109,1177,1791,1797,1903,1943,1966,2115,2158,2100,2153,1559,2127,1062,2385,2476,965,2347,2354,2357,2362,2404,2408,2429,2432,2470,2493,2500,1165,2618,1613,961,2350,2373,2377,2381,2417,1018,1628,1155,1019,980,361,803,794,721,846,328,323,907,450,547,728,778,897,896,684,771,898,689,841,840,913,912,900,726,845,753,674,915,810,475,664,608,315,299,295,716,645,609,566,527,672,800,887,936,836,835,834,490,699,746,501,899,911,819,940,939,599,673,881,574,786,624,799,825,587,418,515,296,543,463,562,508,663,641,524,718,717,647,611,610,429,488,478,500,605,784,484,628,595,594,592,506,646,681,658,660,659,581,462,504,578,432,662,593,492,713,565,526,682,704,583,745,630]),
% 4.89/4.91 ['proof']).
% 4.89/4.91 % SZS output end Proof
% 4.89/4.91 % Total time :3.910000s
%------------------------------------------------------------------------------