TSTP Solution File: SEU223+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU223+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:18:32 EDT 2023
% Result : Theorem 4.14s 4.18s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU223+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35 % Computer : n016.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Wed Aug 23 15:49:37 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.54 start to proof:theBenchmark
% 4.01/4.15 %-------------------------------------------
% 4.01/4.15 % File :CSE---1.6
% 4.01/4.15 % Problem :theBenchmark
% 4.01/4.15 % Transform :cnf
% 4.01/4.15 % Format :tptp:raw
% 4.01/4.15 % Command :java -jar mcs_scs.jar %d %s
% 4.01/4.15
% 4.01/4.15 % Result :Theorem 3.400000s
% 4.01/4.15 % Output :CNFRefutation 3.400000s
% 4.01/4.15 %-------------------------------------------
% 4.01/4.15 %------------------------------------------------------------------------------
% 4.01/4.15 % File : SEU223+2 : TPTP v8.1.2. Released v3.3.0.
% 4.01/4.15 % Domain : Set theory
% 4.01/4.15 % Problem : MPTP chainy problem t70_funct_1
% 4.01/4.15 % Version : [Urb07] axioms : Especial.
% 4.01/4.15 % English :
% 4.01/4.15
% 4.01/4.15 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 4.01/4.15 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 4.01/4.15 % Source : [Urb07]
% 4.01/4.15 % Names : chainy-t70_funct_1 [Urb07]
% 4.01/4.15
% 4.01/4.15 % Status : Theorem
% 4.01/4.15 % Rating : 0.28 v8.1.0, 0.22 v7.4.0, 0.20 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.17 v6.2.0, 0.28 v6.1.0, 0.43 v5.5.0, 0.48 v5.4.0, 0.54 v5.3.0, 0.59 v5.2.0, 0.40 v5.1.0, 0.43 v5.0.0, 0.42 v4.1.0, 0.39 v4.0.1, 0.43 v4.0.0, 0.46 v3.7.0, 0.50 v3.5.0, 0.53 v3.3.0
% 4.01/4.15 % Syntax : Number of formulae : 238 ( 52 unt; 0 def)
% 4.01/4.15 % Number of atoms : 677 ( 145 equ)
% 4.01/4.15 % Maximal formula atoms : 15 ( 2 avg)
% 4.01/4.15 % Number of connectives : 507 ( 68 ~; 7 |; 156 &)
% 4.01/4.15 % ( 78 <=>; 198 =>; 0 <=; 0 <~>)
% 4.01/4.15 % Maximal formula depth : 14 ( 5 avg)
% 4.01/4.15 % Maximal term depth : 4 ( 1 avg)
% 4.01/4.15 % Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% 4.01/4.15 % Number of functors : 29 ( 29 usr; 1 con; 0-3 aty)
% 4.01/4.15 % Number of variables : 505 ( 480 !; 25 ?)
% 4.01/4.15 % SPC : FOF_THM_RFO_SEQ
% 4.01/4.15
% 4.01/4.15 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 4.01/4.15 % library, www.mizar.org
% 4.01/4.15 %------------------------------------------------------------------------------
% 4.01/4.15 fof(antisymmetry_r2_hidden,axiom,
% 4.01/4.15 ! [A,B] :
% 4.01/4.15 ( in(A,B)
% 4.01/4.15 => ~ in(B,A) ) ).
% 4.01/4.15
% 4.01/4.15 fof(antisymmetry_r2_xboole_0,axiom,
% 4.01/4.15 ! [A,B] :
% 4.01/4.15 ( proper_subset(A,B)
% 4.01/4.15 => ~ proper_subset(B,A) ) ).
% 4.01/4.15
% 4.01/4.15 fof(cc1_funct_1,axiom,
% 4.01/4.15 ! [A] :
% 4.01/4.15 ( empty(A)
% 4.01/4.15 => function(A) ) ).
% 4.01/4.15
% 4.01/4.15 fof(cc1_relat_1,axiom,
% 4.01/4.15 ! [A] :
% 4.01/4.15 ( empty(A)
% 4.01/4.15 => relation(A) ) ).
% 4.01/4.15
% 4.01/4.15 fof(cc2_funct_1,axiom,
% 4.01/4.15 ! [A] :
% 4.01/4.15 ( ( relation(A)
% 4.01/4.15 & empty(A)
% 4.01/4.15 & function(A) )
% 4.01/4.15 => ( relation(A)
% 4.01/4.15 & function(A)
% 4.01/4.15 & one_to_one(A) ) ) ).
% 4.01/4.15
% 4.01/4.15 fof(commutativity_k2_tarski,axiom,
% 4.01/4.15 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 4.01/4.15
% 4.01/4.15 fof(commutativity_k2_xboole_0,axiom,
% 4.01/4.15 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 4.01/4.15
% 4.01/4.15 fof(commutativity_k3_xboole_0,axiom,
% 4.01/4.15 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 4.01/4.15
% 4.01/4.15 fof(d10_relat_1,axiom,
% 4.01/4.15 ! [A,B] :
% 4.01/4.15 ( relation(B)
% 4.01/4.15 => ( B = identity_relation(A)
% 4.01/4.15 <=> ! [C,D] :
% 4.01/4.15 ( in(ordered_pair(C,D),B)
% 4.01/4.15 <=> ( in(C,A)
% 4.01/4.15 & C = D ) ) ) ) ).
% 4.01/4.15
% 4.01/4.15 fof(d10_xboole_0,axiom,
% 4.01/4.15 ! [A,B] :
% 4.01/4.15 ( A = B
% 4.01/4.15 <=> ( subset(A,B)
% 4.01/4.15 & subset(B,A) ) ) ).
% 4.01/4.15
% 4.01/4.15 fof(d11_relat_1,axiom,
% 4.01/4.15 ! [A] :
% 4.01/4.16 ( relation(A)
% 4.01/4.16 => ! [B,C] :
% 4.01/4.16 ( relation(C)
% 4.01/4.16 => ( C = relation_dom_restriction(A,B)
% 4.01/4.16 <=> ! [D,E] :
% 4.01/4.16 ( in(ordered_pair(D,E),C)
% 4.01/4.16 <=> ( in(D,B)
% 4.01/4.16 & in(ordered_pair(D,E),A) ) ) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d12_relat_1,axiom,
% 4.01/4.16 ! [A,B] :
% 4.01/4.16 ( relation(B)
% 4.01/4.16 => ! [C] :
% 4.01/4.16 ( relation(C)
% 4.01/4.16 => ( C = relation_rng_restriction(A,B)
% 4.01/4.16 <=> ! [D,E] :
% 4.01/4.16 ( in(ordered_pair(D,E),C)
% 4.01/4.16 <=> ( in(E,A)
% 4.01/4.16 & in(ordered_pair(D,E),B) ) ) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d13_relat_1,axiom,
% 4.01/4.16 ! [A] :
% 4.01/4.16 ( relation(A)
% 4.01/4.16 => ! [B,C] :
% 4.01/4.16 ( C = relation_image(A,B)
% 4.01/4.16 <=> ! [D] :
% 4.01/4.16 ( in(D,C)
% 4.01/4.16 <=> ? [E] :
% 4.01/4.16 ( in(ordered_pair(E,D),A)
% 4.01/4.16 & in(E,B) ) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d14_relat_1,axiom,
% 4.01/4.16 ! [A] :
% 4.01/4.16 ( relation(A)
% 4.01/4.16 => ! [B,C] :
% 4.01/4.16 ( C = relation_inverse_image(A,B)
% 4.01/4.16 <=> ! [D] :
% 4.01/4.16 ( in(D,C)
% 4.01/4.16 <=> ? [E] :
% 4.01/4.16 ( in(ordered_pair(D,E),A)
% 4.01/4.16 & in(E,B) ) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d1_relat_1,axiom,
% 4.01/4.16 ! [A] :
% 4.01/4.16 ( relation(A)
% 4.01/4.16 <=> ! [B] :
% 4.01/4.16 ~ ( in(B,A)
% 4.01/4.16 & ! [C,D] : B != ordered_pair(C,D) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d1_setfam_1,axiom,
% 4.01/4.16 ! [A,B] :
% 4.01/4.16 ( ( A != empty_set
% 4.01/4.16 => ( B = set_meet(A)
% 4.01/4.16 <=> ! [C] :
% 4.01/4.16 ( in(C,B)
% 4.01/4.16 <=> ! [D] :
% 4.01/4.16 ( in(D,A)
% 4.01/4.16 => in(C,D) ) ) ) )
% 4.01/4.16 & ( A = empty_set
% 4.01/4.16 => ( B = set_meet(A)
% 4.01/4.16 <=> B = empty_set ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d1_tarski,axiom,
% 4.01/4.16 ! [A,B] :
% 4.01/4.16 ( B = singleton(A)
% 4.01/4.16 <=> ! [C] :
% 4.01/4.16 ( in(C,B)
% 4.01/4.16 <=> C = A ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d1_xboole_0,axiom,
% 4.01/4.16 ! [A] :
% 4.01/4.16 ( A = empty_set
% 4.01/4.16 <=> ! [B] : ~ in(B,A) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d1_zfmisc_1,axiom,
% 4.01/4.16 ! [A,B] :
% 4.01/4.16 ( B = powerset(A)
% 4.01/4.16 <=> ! [C] :
% 4.01/4.16 ( in(C,B)
% 4.01/4.16 <=> subset(C,A) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d2_relat_1,axiom,
% 4.01/4.16 ! [A] :
% 4.01/4.16 ( relation(A)
% 4.01/4.16 => ! [B] :
% 4.01/4.16 ( relation(B)
% 4.01/4.16 => ( A = B
% 4.01/4.16 <=> ! [C,D] :
% 4.01/4.16 ( in(ordered_pair(C,D),A)
% 4.01/4.16 <=> in(ordered_pair(C,D),B) ) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d2_subset_1,axiom,
% 4.01/4.16 ! [A,B] :
% 4.01/4.16 ( ( ~ empty(A)
% 4.01/4.16 => ( element(B,A)
% 4.01/4.16 <=> in(B,A) ) )
% 4.01/4.16 & ( empty(A)
% 4.01/4.16 => ( element(B,A)
% 4.01/4.16 <=> empty(B) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d2_tarski,axiom,
% 4.01/4.16 ! [A,B,C] :
% 4.01/4.16 ( C = unordered_pair(A,B)
% 4.01/4.16 <=> ! [D] :
% 4.01/4.16 ( in(D,C)
% 4.01/4.16 <=> ( D = A
% 4.01/4.16 | D = B ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d2_xboole_0,axiom,
% 4.01/4.16 ! [A,B,C] :
% 4.01/4.16 ( C = set_union2(A,B)
% 4.01/4.16 <=> ! [D] :
% 4.01/4.16 ( in(D,C)
% 4.01/4.16 <=> ( in(D,A)
% 4.01/4.16 | in(D,B) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d2_zfmisc_1,axiom,
% 4.01/4.16 ! [A,B,C] :
% 4.01/4.16 ( C = cartesian_product2(A,B)
% 4.01/4.16 <=> ! [D] :
% 4.01/4.16 ( in(D,C)
% 4.01/4.16 <=> ? [E,F] :
% 4.01/4.16 ( in(E,A)
% 4.01/4.16 & in(F,B)
% 4.01/4.16 & D = ordered_pair(E,F) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d3_relat_1,axiom,
% 4.01/4.16 ! [A] :
% 4.01/4.16 ( relation(A)
% 4.01/4.16 => ! [B] :
% 4.01/4.16 ( relation(B)
% 4.01/4.16 => ( subset(A,B)
% 4.01/4.16 <=> ! [C,D] :
% 4.01/4.16 ( in(ordered_pair(C,D),A)
% 4.01/4.16 => in(ordered_pair(C,D),B) ) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d3_tarski,axiom,
% 4.01/4.16 ! [A,B] :
% 4.01/4.16 ( subset(A,B)
% 4.01/4.16 <=> ! [C] :
% 4.01/4.16 ( in(C,A)
% 4.01/4.16 => in(C,B) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d3_xboole_0,axiom,
% 4.01/4.16 ! [A,B,C] :
% 4.01/4.16 ( C = set_intersection2(A,B)
% 4.01/4.16 <=> ! [D] :
% 4.01/4.16 ( in(D,C)
% 4.01/4.16 <=> ( in(D,A)
% 4.01/4.16 & in(D,B) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d4_funct_1,axiom,
% 4.01/4.16 ! [A] :
% 4.01/4.16 ( ( relation(A)
% 4.01/4.16 & function(A) )
% 4.01/4.16 => ! [B,C] :
% 4.01/4.16 ( ( in(B,relation_dom(A))
% 4.01/4.16 => ( C = apply(A,B)
% 4.01/4.16 <=> in(ordered_pair(B,C),A) ) )
% 4.01/4.16 & ( ~ in(B,relation_dom(A))
% 4.01/4.16 => ( C = apply(A,B)
% 4.01/4.16 <=> C = empty_set ) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d4_relat_1,axiom,
% 4.01/4.16 ! [A] :
% 4.01/4.16 ( relation(A)
% 4.01/4.16 => ! [B] :
% 4.01/4.16 ( B = relation_dom(A)
% 4.01/4.16 <=> ! [C] :
% 4.01/4.16 ( in(C,B)
% 4.01/4.16 <=> ? [D] : in(ordered_pair(C,D),A) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d4_subset_1,axiom,
% 4.01/4.16 ! [A] : cast_to_subset(A) = A ).
% 4.01/4.16
% 4.01/4.16 fof(d4_tarski,axiom,
% 4.01/4.16 ! [A,B] :
% 4.01/4.16 ( B = union(A)
% 4.01/4.16 <=> ! [C] :
% 4.01/4.16 ( in(C,B)
% 4.01/4.16 <=> ? [D] :
% 4.01/4.16 ( in(C,D)
% 4.01/4.16 & in(D,A) ) ) ) ).
% 4.01/4.16
% 4.01/4.16 fof(d4_xboole_0,axiom,
% 4.01/4.16 ! [A,B,C] :
% 4.01/4.16 ( C = set_difference(A,B)
% 4.01/4.16 <=> ! [D] :
% 4.01/4.16 ( in(D,C)
% 4.09/4.16 <=> ( in(D,A)
% 4.09/4.16 & ~ in(D,B) ) ) ) ).
% 4.09/4.16
% 4.09/4.16 fof(d5_relat_1,axiom,
% 4.09/4.16 ! [A] :
% 4.09/4.16 ( relation(A)
% 4.09/4.16 => ! [B] :
% 4.09/4.16 ( B = relation_rng(A)
% 4.09/4.16 <=> ! [C] :
% 4.09/4.16 ( in(C,B)
% 4.09/4.16 <=> ? [D] : in(ordered_pair(D,C),A) ) ) ) ).
% 4.09/4.16
% 4.09/4.16 fof(d5_subset_1,axiom,
% 4.09/4.16 ! [A,B] :
% 4.09/4.16 ( element(B,powerset(A))
% 4.09/4.16 => subset_complement(A,B) = set_difference(A,B) ) ).
% 4.09/4.16
% 4.09/4.16 fof(d5_tarski,axiom,
% 4.09/4.16 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 4.09/4.16
% 4.09/4.16 fof(d6_relat_1,axiom,
% 4.09/4.16 ! [A] :
% 4.09/4.16 ( relation(A)
% 4.09/4.16 => relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ) ).
% 4.09/4.16
% 4.09/4.16 fof(d7_relat_1,axiom,
% 4.09/4.16 ! [A] :
% 4.09/4.16 ( relation(A)
% 4.09/4.16 => ! [B] :
% 4.09/4.16 ( relation(B)
% 4.09/4.16 => ( B = relation_inverse(A)
% 4.09/4.16 <=> ! [C,D] :
% 4.09/4.16 ( in(ordered_pair(C,D),B)
% 4.09/4.16 <=> in(ordered_pair(D,C),A) ) ) ) ) ).
% 4.09/4.16
% 4.09/4.16 fof(d7_xboole_0,axiom,
% 4.09/4.16 ! [A,B] :
% 4.09/4.16 ( disjoint(A,B)
% 4.09/4.16 <=> set_intersection2(A,B) = empty_set ) ).
% 4.09/4.16
% 4.09/4.16 fof(d8_funct_1,axiom,
% 4.09/4.16 ! [A] :
% 4.09/4.16 ( ( relation(A)
% 4.09/4.16 & function(A) )
% 4.09/4.16 => ( one_to_one(A)
% 4.09/4.16 <=> ! [B,C] :
% 4.09/4.16 ( ( in(B,relation_dom(A))
% 4.09/4.16 & in(C,relation_dom(A))
% 4.09/4.16 & apply(A,B) = apply(A,C) )
% 4.09/4.16 => B = C ) ) ) ).
% 4.09/4.16
% 4.09/4.16 fof(d8_relat_1,axiom,
% 4.09/4.16 ! [A] :
% 4.09/4.16 ( relation(A)
% 4.09/4.16 => ! [B] :
% 4.09/4.16 ( relation(B)
% 4.09/4.16 => ! [C] :
% 4.09/4.16 ( relation(C)
% 4.09/4.16 => ( C = relation_composition(A,B)
% 4.09/4.16 <=> ! [D,E] :
% 4.09/4.16 ( in(ordered_pair(D,E),C)
% 4.09/4.16 <=> ? [F] :
% 4.09/4.16 ( in(ordered_pair(D,F),A)
% 4.09/4.16 & in(ordered_pair(F,E),B) ) ) ) ) ) ) ).
% 4.09/4.16
% 4.09/4.16 fof(d8_setfam_1,axiom,
% 4.09/4.16 ! [A,B] :
% 4.09/4.16 ( element(B,powerset(powerset(A)))
% 4.09/4.16 => ! [C] :
% 4.09/4.16 ( element(C,powerset(powerset(A)))
% 4.09/4.16 => ( C = complements_of_subsets(A,B)
% 4.09/4.16 <=> ! [D] :
% 4.09/4.16 ( element(D,powerset(A))
% 4.09/4.16 => ( in(D,C)
% 4.09/4.16 <=> in(subset_complement(A,D),B) ) ) ) ) ) ).
% 4.09/4.16
% 4.09/4.16 fof(d8_xboole_0,axiom,
% 4.09/4.16 ! [A,B] :
% 4.09/4.16 ( proper_subset(A,B)
% 4.09/4.16 <=> ( subset(A,B)
% 4.09/4.16 & A != B ) ) ).
% 4.09/4.16
% 4.09/4.16 fof(d9_funct_1,axiom,
% 4.09/4.16 ! [A] :
% 4.09/4.16 ( ( relation(A)
% 4.09/4.16 & function(A) )
% 4.09/4.16 => ( one_to_one(A)
% 4.09/4.16 => function_inverse(A) = relation_inverse(A) ) ) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k10_relat_1,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k1_funct_1,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k1_relat_1,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k1_setfam_1,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k1_tarski,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k1_xboole_0,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k1_zfmisc_1,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k2_funct_1,axiom,
% 4.09/4.16 ! [A] :
% 4.09/4.16 ( ( relation(A)
% 4.09/4.16 & function(A) )
% 4.09/4.16 => ( relation(function_inverse(A))
% 4.09/4.16 & function(function_inverse(A)) ) ) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k2_relat_1,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k2_subset_1,axiom,
% 4.09/4.16 ! [A] : element(cast_to_subset(A),powerset(A)) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k2_tarski,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k2_xboole_0,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k2_zfmisc_1,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k3_relat_1,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k3_subset_1,axiom,
% 4.09/4.16 ! [A,B] :
% 4.09/4.16 ( element(B,powerset(A))
% 4.09/4.16 => element(subset_complement(A,B),powerset(A)) ) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k3_tarski,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k3_xboole_0,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k4_relat_1,axiom,
% 4.09/4.16 ! [A] :
% 4.09/4.16 ( relation(A)
% 4.09/4.16 => relation(relation_inverse(A)) ) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k4_tarski,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k4_xboole_0,axiom,
% 4.09/4.16 $true ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k5_relat_1,axiom,
% 4.09/4.16 ! [A,B] :
% 4.09/4.16 ( ( relation(A)
% 4.09/4.16 & relation(B) )
% 4.09/4.16 => relation(relation_composition(A,B)) ) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k5_setfam_1,axiom,
% 4.09/4.16 ! [A,B] :
% 4.09/4.16 ( element(B,powerset(powerset(A)))
% 4.09/4.16 => element(union_of_subsets(A,B),powerset(A)) ) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k6_relat_1,axiom,
% 4.09/4.16 ! [A] : relation(identity_relation(A)) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k6_setfam_1,axiom,
% 4.09/4.16 ! [A,B] :
% 4.09/4.16 ( element(B,powerset(powerset(A)))
% 4.09/4.16 => element(meet_of_subsets(A,B),powerset(A)) ) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k6_subset_1,axiom,
% 4.09/4.16 ! [A,B,C] :
% 4.09/4.16 ( ( element(B,powerset(A))
% 4.09/4.16 & element(C,powerset(A)) )
% 4.09/4.16 => element(subset_difference(A,B,C),powerset(A)) ) ).
% 4.09/4.16
% 4.09/4.16 fof(dt_k7_relat_1,axiom,
% 4.09/4.16 ! [A,B] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => relation(relation_dom_restriction(A,B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(dt_k7_setfam_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(powerset(A)))
% 4.09/4.17 => element(complements_of_subsets(A,B),powerset(powerset(A))) ) ).
% 4.09/4.17
% 4.09/4.17 fof(dt_k8_relat_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => relation(relation_rng_restriction(A,B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(dt_k9_relat_1,axiom,
% 4.09/4.17 $true ).
% 4.09/4.17
% 4.09/4.17 fof(dt_m1_subset_1,axiom,
% 4.09/4.17 $true ).
% 4.09/4.17
% 4.09/4.17 fof(existence_m1_subset_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ? [B] : element(B,A) ).
% 4.09/4.17
% 4.09/4.17 fof(fc10_relat_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( empty(A)
% 4.09/4.17 & relation(B) )
% 4.09/4.17 => ( empty(relation_composition(B,A))
% 4.09/4.17 & relation(relation_composition(B,A)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc11_relat_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( empty(A)
% 4.09/4.17 => ( empty(relation_inverse(A))
% 4.09/4.17 & relation(relation_inverse(A)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc12_relat_1,axiom,
% 4.09/4.17 ( empty(empty_set)
% 4.09/4.17 & relation(empty_set)
% 4.09/4.17 & relation_empty_yielding(empty_set) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc13_relat_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(A)
% 4.09/4.17 & relation_empty_yielding(A) )
% 4.09/4.17 => ( relation(relation_dom_restriction(A,B))
% 4.09/4.17 & relation_empty_yielding(relation_dom_restriction(A,B)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc1_funct_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(A)
% 4.09/4.17 & function(A)
% 4.09/4.17 & relation(B)
% 4.09/4.17 & function(B) )
% 4.09/4.17 => ( relation(relation_composition(A,B))
% 4.09/4.17 & function(relation_composition(A,B)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc1_relat_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(A)
% 4.09/4.17 & relation(B) )
% 4.09/4.17 => relation(set_intersection2(A,B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc1_subset_1,axiom,
% 4.09/4.17 ! [A] : ~ empty(powerset(A)) ).
% 4.09/4.17
% 4.09/4.17 fof(fc1_xboole_0,axiom,
% 4.09/4.17 empty(empty_set) ).
% 4.09/4.17
% 4.09/4.17 fof(fc1_zfmisc_1,axiom,
% 4.09/4.17 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 4.09/4.17
% 4.09/4.17 fof(fc2_funct_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(identity_relation(A))
% 4.09/4.17 & function(identity_relation(A)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc2_relat_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(A)
% 4.09/4.17 & relation(B) )
% 4.09/4.17 => relation(set_union2(A,B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc2_subset_1,axiom,
% 4.09/4.17 ! [A] : ~ empty(singleton(A)) ).
% 4.09/4.17
% 4.09/4.17 fof(fc2_xboole_0,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ~ empty(A)
% 4.09/4.17 => ~ empty(set_union2(A,B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc3_funct_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( ( relation(A)
% 4.09/4.17 & function(A)
% 4.09/4.17 & one_to_one(A) )
% 4.09/4.17 => ( relation(relation_inverse(A))
% 4.09/4.17 & function(relation_inverse(A)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc3_subset_1,axiom,
% 4.09/4.17 ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 4.09/4.17
% 4.09/4.17 fof(fc3_xboole_0,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ~ empty(A)
% 4.09/4.17 => ~ empty(set_union2(B,A)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc4_funct_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(A)
% 4.09/4.17 & function(A) )
% 4.09/4.17 => ( relation(relation_dom_restriction(A,B))
% 4.09/4.17 & function(relation_dom_restriction(A,B)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc4_relat_1,axiom,
% 4.09/4.17 ( empty(empty_set)
% 4.09/4.17 & relation(empty_set) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc4_subset_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( ~ empty(A)
% 4.09/4.17 & ~ empty(B) )
% 4.09/4.17 => ~ empty(cartesian_product2(A,B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc5_relat_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( ( ~ empty(A)
% 4.09/4.17 & relation(A) )
% 4.09/4.17 => ~ empty(relation_dom(A)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc6_relat_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( ( ~ empty(A)
% 4.09/4.17 & relation(A) )
% 4.09/4.17 => ~ empty(relation_rng(A)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc7_relat_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( empty(A)
% 4.09/4.17 => ( empty(relation_dom(A))
% 4.09/4.17 & relation(relation_dom(A)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc8_relat_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( empty(A)
% 4.09/4.17 => ( empty(relation_rng(A))
% 4.09/4.17 & relation(relation_rng(A)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(fc9_relat_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( empty(A)
% 4.09/4.17 & relation(B) )
% 4.09/4.17 => ( empty(relation_composition(A,B))
% 4.09/4.17 & relation(relation_composition(A,B)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(idempotence_k2_xboole_0,axiom,
% 4.09/4.17 ! [A,B] : set_union2(A,A) = A ).
% 4.09/4.17
% 4.09/4.17 fof(idempotence_k3_xboole_0,axiom,
% 4.09/4.17 ! [A,B] : set_intersection2(A,A) = A ).
% 4.09/4.17
% 4.09/4.17 fof(involutiveness_k3_subset_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(A))
% 4.09/4.17 => subset_complement(A,subset_complement(A,B)) = B ) ).
% 4.09/4.17
% 4.09/4.17 fof(involutiveness_k4_relat_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => relation_inverse(relation_inverse(A)) = A ) ).
% 4.09/4.17
% 4.09/4.17 fof(involutiveness_k7_setfam_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(powerset(A)))
% 4.09/4.17 => complements_of_subsets(A,complements_of_subsets(A,B)) = B ) ).
% 4.09/4.17
% 4.09/4.17 fof(irreflexivity_r2_xboole_0,axiom,
% 4.09/4.17 ! [A,B] : ~ proper_subset(A,A) ).
% 4.09/4.17
% 4.09/4.17 fof(l1_zfmisc_1,lemma,
% 4.09/4.17 ! [A] : singleton(A) != empty_set ).
% 4.09/4.17
% 4.09/4.17 fof(l23_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( in(A,B)
% 4.09/4.17 => set_union2(singleton(A),B) = B ) ).
% 4.09/4.17
% 4.09/4.17 fof(l25_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ~ ( disjoint(singleton(A),B)
% 4.09/4.17 & in(A,B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(l28_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ~ in(A,B)
% 4.09/4.17 => disjoint(singleton(A),B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(l2_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( subset(singleton(A),B)
% 4.09/4.17 <=> in(A,B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(l32_xboole_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( set_difference(A,B) = empty_set
% 4.09/4.17 <=> subset(A,B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(l3_subset_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(A))
% 4.09/4.17 => ! [C] :
% 4.09/4.17 ( in(C,B)
% 4.09/4.17 => in(C,A) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(l3_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( subset(A,B)
% 4.09/4.17 => ( in(C,A)
% 4.09/4.17 | subset(A,set_difference(B,singleton(C))) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(l4_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( subset(A,singleton(B))
% 4.09/4.17 <=> ( A = empty_set
% 4.09/4.17 | A = singleton(B) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(l50_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( in(A,B)
% 4.09/4.17 => subset(A,union(B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(l55_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B,C,D] :
% 4.09/4.17 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 4.09/4.17 <=> ( in(A,C)
% 4.09/4.17 & in(B,D) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(l71_subset_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ! [C] :
% 4.09/4.17 ( in(C,A)
% 4.09/4.17 => in(C,B) )
% 4.09/4.17 => element(A,powerset(B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(rc1_funct_1,axiom,
% 4.09/4.17 ? [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 & function(A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(rc1_relat_1,axiom,
% 4.09/4.17 ? [A] :
% 4.09/4.17 ( empty(A)
% 4.09/4.17 & relation(A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(rc1_subset_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( ~ empty(A)
% 4.09/4.17 => ? [B] :
% 4.09/4.17 ( element(B,powerset(A))
% 4.09/4.17 & ~ empty(B) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(rc1_xboole_0,axiom,
% 4.09/4.17 ? [A] : empty(A) ).
% 4.09/4.17
% 4.09/4.17 fof(rc2_funct_1,axiom,
% 4.09/4.17 ? [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 & empty(A)
% 4.09/4.17 & function(A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(rc2_relat_1,axiom,
% 4.09/4.17 ? [A] :
% 4.09/4.17 ( ~ empty(A)
% 4.09/4.17 & relation(A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(rc2_subset_1,axiom,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ? [B] :
% 4.09/4.17 ( element(B,powerset(A))
% 4.09/4.17 & empty(B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(rc2_xboole_0,axiom,
% 4.09/4.17 ? [A] : ~ empty(A) ).
% 4.09/4.17
% 4.09/4.17 fof(rc3_funct_1,axiom,
% 4.09/4.17 ? [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 & function(A)
% 4.09/4.17 & one_to_one(A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(rc3_relat_1,axiom,
% 4.09/4.17 ? [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 & relation_empty_yielding(A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(redefinition_k5_setfam_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(powerset(A)))
% 4.09/4.17 => union_of_subsets(A,B) = union(B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(redefinition_k6_setfam_1,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(powerset(A)))
% 4.09/4.17 => meet_of_subsets(A,B) = set_meet(B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(redefinition_k6_subset_1,axiom,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( ( element(B,powerset(A))
% 4.09/4.17 & element(C,powerset(A)) )
% 4.09/4.17 => subset_difference(A,B,C) = set_difference(B,C) ) ).
% 4.09/4.17
% 4.09/4.17 fof(reflexivity_r1_tarski,axiom,
% 4.09/4.17 ! [A,B] : subset(A,A) ).
% 4.09/4.17
% 4.09/4.17 fof(symmetry_r1_xboole_0,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( disjoint(A,B)
% 4.09/4.17 => disjoint(B,A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t106_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B,C,D] :
% 4.09/4.17 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 4.09/4.17 <=> ( in(A,C)
% 4.09/4.17 & in(B,D) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t10_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B,C,D] :
% 4.09/4.17 ~ ( unordered_pair(A,B) = unordered_pair(C,D)
% 4.09/4.17 & A != C
% 4.09/4.17 & A != D ) ).
% 4.09/4.17
% 4.09/4.17 fof(t115_relat_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( relation(C)
% 4.09/4.17 => ( in(A,relation_rng(relation_rng_restriction(B,C)))
% 4.09/4.17 <=> ( in(A,B)
% 4.09/4.17 & in(A,relation_rng(C)) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t116_relat_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => subset(relation_rng(relation_rng_restriction(A,B)),A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t117_relat_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => subset(relation_rng_restriction(A,B),B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t118_relat_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t118_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( subset(A,B)
% 4.09/4.17 => ( subset(cartesian_product2(A,C),cartesian_product2(B,C))
% 4.09/4.17 & subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t119_relat_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => relation_rng(relation_rng_restriction(A,B)) = set_intersection2(relation_rng(B),A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t119_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B,C,D] :
% 4.09/4.17 ( ( subset(A,B)
% 4.09/4.17 & subset(C,D) )
% 4.09/4.17 => subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t12_xboole_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( subset(A,B)
% 4.09/4.17 => set_union2(A,B) = B ) ).
% 4.09/4.17
% 4.09/4.17 fof(t136_zfmisc_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ? [B] :
% 4.09/4.17 ( in(A,B)
% 4.09/4.17 & ! [C,D] :
% 4.09/4.17 ( ( in(C,B)
% 4.09/4.17 & subset(D,C) )
% 4.09/4.17 => in(D,B) )
% 4.09/4.17 & ! [C] :
% 4.09/4.17 ( in(C,B)
% 4.09/4.17 => in(powerset(C),B) )
% 4.09/4.17 & ! [C] :
% 4.09/4.17 ~ ( subset(C,B)
% 4.09/4.17 & ~ are_equipotent(C,B)
% 4.09/4.17 & ~ in(C,B) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t140_relat_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( relation(C)
% 4.09/4.17 => relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t143_relat_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( relation(C)
% 4.09/4.17 => ( in(A,relation_image(C,B))
% 4.09/4.17 <=> ? [D] :
% 4.09/4.17 ( in(D,relation_dom(C))
% 4.09/4.17 & in(ordered_pair(D,A),C)
% 4.09/4.17 & in(D,B) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t144_relat_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => subset(relation_image(B,A),relation_rng(B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t145_relat_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => relation_image(B,A) = relation_image(B,set_intersection2(relation_dom(B),A)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t146_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => relation_image(A,relation_dom(A)) = relation_rng(A) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t160_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => ! [B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => relation_rng(relation_composition(A,B)) = relation_image(B,relation_rng(A)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t166_relat_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( relation(C)
% 4.09/4.17 => ( in(A,relation_inverse_image(C,B))
% 4.09/4.17 <=> ? [D] :
% 4.09/4.17 ( in(D,relation_rng(C))
% 4.09/4.17 & in(ordered_pair(A,D),C)
% 4.09/4.17 & in(D,B) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t167_relat_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => subset(relation_inverse_image(B,A),relation_dom(B)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t174_relat_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => ~ ( A != empty_set
% 4.09/4.17 & subset(A,relation_rng(B))
% 4.09/4.17 & relation_inverse_image(B,A) = empty_set ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t178_relat_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( relation(C)
% 4.09/4.17 => ( subset(A,B)
% 4.09/4.17 => subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t17_xboole_1,lemma,
% 4.09/4.17 ! [A,B] : subset(set_intersection2(A,B),A) ).
% 4.09/4.17
% 4.09/4.17 fof(t19_xboole_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( ( subset(A,B)
% 4.09/4.17 & subset(A,C) )
% 4.09/4.17 => subset(A,set_intersection2(B,C)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t1_boole,axiom,
% 4.09/4.17 ! [A] : set_union2(A,empty_set) = A ).
% 4.09/4.17
% 4.09/4.17 fof(t1_subset,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( in(A,B)
% 4.09/4.17 => element(A,B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t1_xboole_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( ( subset(A,B)
% 4.09/4.17 & subset(B,C) )
% 4.09/4.17 => subset(A,C) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t1_zfmisc_1,lemma,
% 4.09/4.17 powerset(empty_set) = singleton(empty_set) ).
% 4.09/4.17
% 4.09/4.17 fof(t20_relat_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( relation(C)
% 4.09/4.17 => ( in(ordered_pair(A,B),C)
% 4.09/4.17 => ( in(A,relation_dom(C))
% 4.09/4.17 & in(B,relation_rng(C)) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t21_funct_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(B)
% 4.09/4.17 & function(B) )
% 4.09/4.17 => ! [C] :
% 4.09/4.17 ( ( relation(C)
% 4.09/4.17 & function(C) )
% 4.09/4.17 => ( in(A,relation_dom(relation_composition(C,B)))
% 4.09/4.17 <=> ( in(A,relation_dom(C))
% 4.09/4.17 & in(apply(C,A),relation_dom(B)) ) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t21_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t22_funct_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(B)
% 4.09/4.17 & function(B) )
% 4.09/4.17 => ! [C] :
% 4.09/4.17 ( ( relation(C)
% 4.09/4.17 & function(C) )
% 4.09/4.17 => ( in(A,relation_dom(relation_composition(C,B)))
% 4.09/4.17 => apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t23_funct_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(B)
% 4.09/4.17 & function(B) )
% 4.09/4.17 => ! [C] :
% 4.09/4.17 ( ( relation(C)
% 4.09/4.17 & function(C) )
% 4.09/4.17 => ( in(A,relation_dom(B))
% 4.09/4.17 => apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t25_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => ! [B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => ( subset(A,B)
% 4.09/4.17 => ( subset(relation_dom(A),relation_dom(B))
% 4.09/4.17 & subset(relation_rng(A),relation_rng(B)) ) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t26_xboole_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( subset(A,B)
% 4.09/4.17 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t28_xboole_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( subset(A,B)
% 4.09/4.17 => set_intersection2(A,B) = A ) ).
% 4.09/4.17
% 4.09/4.17 fof(t2_boole,axiom,
% 4.09/4.17 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 4.09/4.17
% 4.09/4.17 fof(t2_subset,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(A,B)
% 4.09/4.17 => ( empty(B)
% 4.09/4.17 | in(A,B) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t2_tarski,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ! [C] :
% 4.09/4.17 ( in(C,A)
% 4.09/4.17 <=> in(C,B) )
% 4.09/4.17 => A = B ) ).
% 4.09/4.17
% 4.09/4.17 fof(t2_xboole_1,lemma,
% 4.09/4.17 ! [A] : subset(empty_set,A) ).
% 4.09/4.17
% 4.09/4.17 fof(t30_relat_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( relation(C)
% 4.09/4.17 => ( in(ordered_pair(A,B),C)
% 4.09/4.17 => ( in(A,relation_field(C))
% 4.09/4.17 & in(B,relation_field(C)) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t33_xboole_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( subset(A,B)
% 4.09/4.17 => subset(set_difference(A,C),set_difference(B,C)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t33_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B,C,D] :
% 4.09/4.17 ( ordered_pair(A,B) = ordered_pair(C,D)
% 4.09/4.17 => ( A = C
% 4.09/4.17 & B = D ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t34_funct_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(B)
% 4.09/4.17 & function(B) )
% 4.09/4.17 => ( B = identity_relation(A)
% 4.09/4.17 <=> ( relation_dom(B) = A
% 4.09/4.17 & ! [C] :
% 4.09/4.17 ( in(C,A)
% 4.09/4.17 => apply(B,C) = C ) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t35_funct_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( in(B,A)
% 4.09/4.17 => apply(identity_relation(A),B) = B ) ).
% 4.09/4.17
% 4.09/4.17 fof(t36_xboole_1,lemma,
% 4.09/4.17 ! [A,B] : subset(set_difference(A,B),A) ).
% 4.09/4.17
% 4.09/4.17 fof(t37_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => ( relation_rng(A) = relation_dom(relation_inverse(A))
% 4.09/4.17 & relation_dom(A) = relation_rng(relation_inverse(A)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t37_xboole_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( set_difference(A,B) = empty_set
% 4.09/4.17 <=> subset(A,B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t37_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( subset(singleton(A),B)
% 4.09/4.17 <=> in(A,B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t38_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( subset(unordered_pair(A,B),C)
% 4.09/4.17 <=> ( in(A,C)
% 4.09/4.17 & in(B,C) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t39_xboole_1,lemma,
% 4.09/4.17 ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
% 4.09/4.17
% 4.09/4.17 fof(t39_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( subset(A,singleton(B))
% 4.09/4.17 <=> ( A = empty_set
% 4.09/4.17 | A = singleton(B) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t3_boole,axiom,
% 4.09/4.17 ! [A] : set_difference(A,empty_set) = A ).
% 4.09/4.17
% 4.09/4.17 fof(t3_subset,axiom,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(A,powerset(B))
% 4.09/4.17 <=> subset(A,B) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t3_xboole_0,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ~ ( ~ disjoint(A,B)
% 4.09/4.17 & ! [C] :
% 4.09/4.17 ~ ( in(C,A)
% 4.09/4.17 & in(C,B) ) )
% 4.09/4.17 & ~ ( ? [C] :
% 4.09/4.17 ( in(C,A)
% 4.09/4.17 & in(C,B) )
% 4.09/4.17 & disjoint(A,B) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t3_xboole_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( subset(A,empty_set)
% 4.09/4.17 => A = empty_set ) ).
% 4.09/4.17
% 4.09/4.17 fof(t40_xboole_1,lemma,
% 4.09/4.17 ! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
% 4.09/4.17
% 4.09/4.17 fof(t43_subset_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(A))
% 4.09/4.17 => ! [C] :
% 4.09/4.17 ( element(C,powerset(A))
% 4.09/4.17 => ( disjoint(B,C)
% 4.09/4.17 <=> subset(B,subset_complement(A,C)) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t44_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => ! [B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => subset(relation_dom(relation_composition(A,B)),relation_dom(A)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t45_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => ! [B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => subset(relation_rng(relation_composition(A,B)),relation_rng(B)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t45_xboole_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( subset(A,B)
% 4.09/4.17 => B = set_union2(A,set_difference(B,A)) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t46_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => ! [B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => ( subset(relation_rng(A),relation_dom(B))
% 4.09/4.17 => relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t46_setfam_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(powerset(A)))
% 4.09/4.17 => ~ ( B != empty_set
% 4.09/4.17 & complements_of_subsets(A,B) = empty_set ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t46_zfmisc_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( in(A,B)
% 4.09/4.17 => set_union2(singleton(A),B) = B ) ).
% 4.09/4.17
% 4.09/4.17 fof(t47_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => ! [B] :
% 4.09/4.17 ( relation(B)
% 4.09/4.17 => ( subset(relation_dom(A),relation_rng(B))
% 4.09/4.17 => relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t47_setfam_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(powerset(A)))
% 4.09/4.17 => ( B != empty_set
% 4.09/4.17 => subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t48_setfam_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( element(B,powerset(powerset(A)))
% 4.09/4.17 => ( B != empty_set
% 4.09/4.17 => union_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t48_xboole_1,lemma,
% 4.09/4.17 ! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
% 4.09/4.17
% 4.09/4.17 fof(t4_boole,axiom,
% 4.09/4.17 ! [A] : set_difference(empty_set,A) = empty_set ).
% 4.09/4.17
% 4.09/4.17 fof(t4_subset,axiom,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( ( in(A,B)
% 4.09/4.17 & element(B,powerset(C)) )
% 4.09/4.17 => element(A,C) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t4_xboole_0,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ~ ( ~ disjoint(A,B)
% 4.09/4.17 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 4.09/4.17 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 4.09/4.17 & disjoint(A,B) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t50_subset_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( A != empty_set
% 4.09/4.17 => ! [B] :
% 4.09/4.17 ( element(B,powerset(A))
% 4.09/4.17 => ! [C] :
% 4.09/4.17 ( element(C,A)
% 4.09/4.17 => ( ~ in(C,B)
% 4.09/4.17 => in(C,subset_complement(A,B)) ) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t54_funct_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( ( relation(A)
% 4.09/4.17 & function(A) )
% 4.09/4.17 => ( one_to_one(A)
% 4.09/4.17 => ! [B] :
% 4.09/4.17 ( ( relation(B)
% 4.09/4.17 & function(B) )
% 4.09/4.17 => ( B = function_inverse(A)
% 4.09/4.17 <=> ( relation_dom(B) = relation_rng(A)
% 4.09/4.17 & ! [C,D] :
% 4.09/4.17 ( ( ( in(C,relation_rng(A))
% 4.09/4.17 & D = apply(B,C) )
% 4.09/4.17 => ( in(D,relation_dom(A))
% 4.09/4.17 & C = apply(A,D) ) )
% 4.09/4.17 & ( ( in(D,relation_dom(A))
% 4.09/4.17 & C = apply(A,D) )
% 4.09/4.17 => ( in(C,relation_rng(A))
% 4.09/4.17 & D = apply(B,C) ) ) ) ) ) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t54_subset_1,lemma,
% 4.09/4.17 ! [A,B,C] :
% 4.09/4.17 ( element(C,powerset(A))
% 4.09/4.17 => ~ ( in(B,subset_complement(A,C))
% 4.09/4.17 & in(B,C) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t55_funct_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( ( relation(A)
% 4.09/4.17 & function(A) )
% 4.09/4.17 => ( one_to_one(A)
% 4.09/4.17 => ( relation_rng(A) = relation_dom(function_inverse(A))
% 4.09/4.17 & relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t56_relat_1,lemma,
% 4.09/4.17 ! [A] :
% 4.09/4.17 ( relation(A)
% 4.09/4.17 => ( ! [B,C] : ~ in(ordered_pair(B,C),A)
% 4.09/4.17 => A = empty_set ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t57_funct_1,lemma,
% 4.09/4.17 ! [A,B] :
% 4.09/4.17 ( ( relation(B)
% 4.09/4.17 & function(B) )
% 4.09/4.17 => ( ( one_to_one(B)
% 4.09/4.17 & in(A,relation_rng(B)) )
% 4.09/4.17 => ( A = apply(B,apply(function_inverse(B),A))
% 4.09/4.17 & A = apply(relation_composition(function_inverse(B),B),A) ) ) ) ).
% 4.09/4.17
% 4.09/4.17 fof(t5_subset,axiom,
% 4.09/4.17 ! [A,B,C] :
% 4.14/4.17 ~ ( in(A,B)
% 4.14/4.17 & element(B,powerset(C))
% 4.14/4.17 & empty(C) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t60_relat_1,lemma,
% 4.14/4.17 ( relation_dom(empty_set) = empty_set
% 4.14/4.17 & relation_rng(empty_set) = empty_set ) ).
% 4.14/4.17
% 4.14/4.17 fof(t60_xboole_1,lemma,
% 4.14/4.17 ! [A,B] :
% 4.14/4.17 ~ ( subset(A,B)
% 4.14/4.17 & proper_subset(B,A) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t62_funct_1,lemma,
% 4.14/4.17 ! [A] :
% 4.14/4.17 ( ( relation(A)
% 4.14/4.17 & function(A) )
% 4.14/4.17 => ( one_to_one(A)
% 4.14/4.17 => one_to_one(function_inverse(A)) ) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t63_xboole_1,lemma,
% 4.14/4.17 ! [A,B,C] :
% 4.14/4.17 ( ( subset(A,B)
% 4.14/4.17 & disjoint(B,C) )
% 4.14/4.17 => disjoint(A,C) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t64_relat_1,lemma,
% 4.14/4.17 ! [A] :
% 4.14/4.17 ( relation(A)
% 4.14/4.17 => ( ( relation_dom(A) = empty_set
% 4.14/4.17 | relation_rng(A) = empty_set )
% 4.14/4.17 => A = empty_set ) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t65_relat_1,lemma,
% 4.14/4.17 ! [A] :
% 4.14/4.17 ( relation(A)
% 4.14/4.17 => ( relation_dom(A) = empty_set
% 4.14/4.17 <=> relation_rng(A) = empty_set ) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t65_zfmisc_1,lemma,
% 4.14/4.17 ! [A,B] :
% 4.14/4.17 ( set_difference(A,singleton(B)) = A
% 4.14/4.17 <=> ~ in(B,A) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t68_funct_1,lemma,
% 4.14/4.17 ! [A,B] :
% 4.14/4.17 ( ( relation(B)
% 4.14/4.17 & function(B) )
% 4.14/4.17 => ! [C] :
% 4.14/4.17 ( ( relation(C)
% 4.14/4.17 & function(C) )
% 4.14/4.17 => ( B = relation_dom_restriction(C,A)
% 4.14/4.17 <=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)
% 4.14/4.17 & ! [D] :
% 4.14/4.17 ( in(D,relation_dom(B))
% 4.14/4.17 => apply(B,D) = apply(C,D) ) ) ) ) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t69_enumset1,lemma,
% 4.14/4.17 ! [A] : unordered_pair(A,A) = singleton(A) ).
% 4.14/4.17
% 4.14/4.17 fof(t6_boole,axiom,
% 4.14/4.17 ! [A] :
% 4.14/4.17 ( empty(A)
% 4.14/4.17 => A = empty_set ) ).
% 4.14/4.17
% 4.14/4.17 fof(t6_zfmisc_1,lemma,
% 4.14/4.17 ! [A,B] :
% 4.14/4.17 ( subset(singleton(A),singleton(B))
% 4.14/4.17 => A = B ) ).
% 4.14/4.17
% 4.14/4.17 fof(t70_funct_1,conjecture,
% 4.14/4.17 ! [A,B,C] :
% 4.14/4.17 ( ( relation(C)
% 4.14/4.17 & function(C) )
% 4.14/4.17 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 4.14/4.17 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t71_relat_1,lemma,
% 4.14/4.17 ! [A] :
% 4.14/4.17 ( relation_dom(identity_relation(A)) = A
% 4.14/4.17 & relation_rng(identity_relation(A)) = A ) ).
% 4.14/4.17
% 4.14/4.17 fof(t74_relat_1,lemma,
% 4.14/4.17 ! [A,B,C,D] :
% 4.14/4.17 ( relation(D)
% 4.14/4.17 => ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))
% 4.14/4.17 <=> ( in(A,C)
% 4.14/4.17 & in(ordered_pair(A,B),D) ) ) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t7_boole,axiom,
% 4.14/4.17 ! [A,B] :
% 4.14/4.17 ~ ( in(A,B)
% 4.14/4.17 & empty(B) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t7_xboole_1,lemma,
% 4.14/4.17 ! [A,B] : subset(A,set_union2(A,B)) ).
% 4.14/4.17
% 4.14/4.17 fof(t83_xboole_1,lemma,
% 4.14/4.17 ! [A,B] :
% 4.14/4.17 ( disjoint(A,B)
% 4.14/4.17 <=> set_difference(A,B) = A ) ).
% 4.14/4.17
% 4.14/4.17 fof(t86_relat_1,lemma,
% 4.14/4.17 ! [A,B,C] :
% 4.14/4.17 ( relation(C)
% 4.14/4.17 => ( in(A,relation_dom(relation_dom_restriction(C,B)))
% 4.14/4.17 <=> ( in(A,B)
% 4.14/4.17 & in(A,relation_dom(C)) ) ) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t88_relat_1,lemma,
% 4.14/4.17 ! [A,B] :
% 4.14/4.17 ( relation(B)
% 4.14/4.17 => subset(relation_dom_restriction(B,A),B) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t8_boole,axiom,
% 4.14/4.17 ! [A,B] :
% 4.14/4.17 ~ ( empty(A)
% 4.14/4.17 & A != B
% 4.14/4.17 & empty(B) ) ).
% 4.14/4.17
% 4.14/4.17 fof(t8_funct_1,lemma,
% 4.14/4.17 ! [A,B,C] :
% 4.14/4.17 ( ( relation(C)
% 4.14/4.18 & function(C) )
% 4.14/4.18 => ( in(ordered_pair(A,B),C)
% 4.14/4.18 <=> ( in(A,relation_dom(C))
% 4.14/4.18 & B = apply(C,A) ) ) ) ).
% 4.14/4.18
% 4.14/4.18 fof(t8_xboole_1,lemma,
% 4.14/4.18 ! [A,B,C] :
% 4.14/4.18 ( ( subset(A,B)
% 4.14/4.18 & subset(C,B) )
% 4.14/4.18 => subset(set_union2(A,C),B) ) ).
% 4.14/4.18
% 4.14/4.18 fof(t8_zfmisc_1,lemma,
% 4.14/4.18 ! [A,B,C] :
% 4.14/4.18 ( singleton(A) = unordered_pair(B,C)
% 4.14/4.18 => A = B ) ).
% 4.14/4.18
% 4.14/4.18 fof(t90_relat_1,lemma,
% 4.14/4.18 ! [A,B] :
% 4.14/4.18 ( relation(B)
% 4.14/4.18 => relation_dom(relation_dom_restriction(B,A)) = set_intersection2(relation_dom(B),A) ) ).
% 4.14/4.18
% 4.14/4.18 fof(t92_zfmisc_1,lemma,
% 4.14/4.18 ! [A,B] :
% 4.14/4.18 ( in(A,B)
% 4.14/4.18 => subset(A,union(B)) ) ).
% 4.14/4.18
% 4.14/4.18 fof(t94_relat_1,lemma,
% 4.14/4.18 ! [A,B] :
% 4.14/4.18 ( relation(B)
% 4.14/4.18 => relation_dom_restriction(B,A) = relation_composition(identity_relation(A),B) ) ).
% 4.14/4.18
% 4.14/4.18 fof(t99_relat_1,lemma,
% 4.14/4.18 ! [A,B] :
% 4.14/4.18 ( relation(B)
% 4.14/4.18 => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ).
% 4.14/4.18
% 4.14/4.18 fof(t99_zfmisc_1,lemma,
% 4.14/4.18 ! [A] : union(powerset(A)) = A ).
% 4.14/4.18
% 4.14/4.18 fof(t9_tarski,axiom,
% 4.14/4.18 ! [A] :
% 4.14/4.18 ? [B] :
% 4.14/4.18 ( in(A,B)
% 4.14/4.18 & ! [C,D] :
% 4.14/4.18 ( ( in(C,B)
% 4.14/4.18 & subset(D,C) )
% 4.14/4.18 => in(D,B) )
% 4.14/4.18 & ! [C] :
% 4.14/4.18 ~ ( in(C,B)
% 4.14/4.18 & ! [D] :
% 4.14/4.18 ~ ( in(D,B)
% 4.14/4.18 & ! [E] :
% 4.14/4.18 ( subset(E,C)
% 4.14/4.18 => in(E,D) ) ) )
% 4.14/4.18 & ! [C] :
% 4.14/4.18 ~ ( subset(C,B)
% 4.14/4.18 & ~ are_equipotent(C,B)
% 4.14/4.18 & ~ in(C,B) ) ) ).
% 4.14/4.18
% 4.14/4.18 fof(t9_zfmisc_1,lemma,
% 4.14/4.18 ! [A,B,C] :
% 4.14/4.18 ( singleton(A) = unordered_pair(B,C)
% 4.14/4.18 => B = C ) ).
% 4.14/4.18
% 4.14/4.18 %------------------------------------------------------------------------------
% 4.14/4.18 %-------------------------------------------
% 4.14/4.18 % Proof found
% 4.14/4.18 % SZS status Theorem for theBenchmark
% 4.14/4.18 % SZS output start Proof
% 4.14/4.18 %ClaNum:663(EqnAxiom:232)
% 4.14/4.18 %VarNum:3179(SingletonVarNum:924)
% 4.14/4.18 %MaxLitNum:11
% 4.14/4.18 %MaxfuncDepth:4
% 4.14/4.18 %SharedTerms:46
% 4.14/4.18 %goalClause: 244 253 284 294
% 4.14/4.18 %singleGoalClaCount:4
% 4.14/4.18 [237]P1(a1)
% 4.14/4.18 [238]P1(a6)
% 4.14/4.18 [239]P1(a58)
% 4.14/4.18 [240]P1(a60)
% 4.14/4.18 [241]P5(a7)
% 4.14/4.18 [242]P5(a60)
% 4.14/4.18 [243]P5(a62)
% 4.14/4.18 [244]P5(a66)
% 4.14/4.18 [246]P6(a1)
% 4.14/4.18 [247]P6(a7)
% 4.14/4.18 [248]P6(a6)
% 4.14/4.18 [249]P6(a60)
% 4.14/4.18 [250]P6(a63)
% 4.14/4.18 [251]P6(a62)
% 4.14/4.18 [252]P6(a67)
% 4.14/4.18 [253]P6(a66)
% 4.14/4.18 [254]P7(a62)
% 4.14/4.18 [255]P10(a1)
% 4.14/4.18 [256]P10(a67)
% 4.14/4.18 [287]~P1(a63)
% 4.14/4.18 [288]~P1(a65)
% 4.14/4.18 [233]E(f5(a1),a1)
% 4.14/4.18 [234]E(f95(a1),a1)
% 4.14/4.18 [268]E(f108(a1,a1),f92(a1))
% 4.14/4.18 [284]P8(a69,f5(f96(a66,a70)))
% 4.14/4.18 [294]~E(f2(f96(a66,a70),a69),f2(a66,a69))
% 4.14/4.18 [265]P11(a1,x2651)
% 4.14/4.18 [269]P11(x2691,x2691)
% 4.14/4.18 [291]~P9(x2911,x2911)
% 4.14/4.18 [257]P1(f64(x2571))
% 4.14/4.18 [258]P5(f86(x2581))
% 4.14/4.18 [260]P6(f86(x2601))
% 4.14/4.18 [264]E(f102(a1,x2641),a1)
% 4.14/4.18 [266]E(f104(x2661,a1),x2661)
% 4.14/4.18 [267]E(f102(x2671,a1),x2671)
% 4.14/4.18 [270]E(f104(x2701,x2701),x2701)
% 4.14/4.18 [271]P8(x2711,f68(x2711))
% 4.14/4.18 [272]P8(x2721,f87(x2721))
% 4.14/4.18 [273]P2(x2731,f92(x2731))
% 4.14/4.18 [274]P2(f8(x2741),x2741)
% 4.14/4.18 [275]P2(f64(x2751),f92(x2751))
% 4.14/4.18 [289]~P1(f92(x2891))
% 4.14/4.18 [290]~E(f108(x2901,x2901),a1)
% 4.14/4.18 [261]E(f5(f86(x2611)),x2611)
% 4.14/4.18 [262]E(f101(f92(x2621)),x2621)
% 4.14/4.18 [263]E(f95(f86(x2631)),x2631)
% 4.14/4.18 [278]E(f102(x2781,f102(x2781,a1)),a1)
% 4.14/4.18 [281]E(f102(x2811,f102(x2811,x2811)),x2811)
% 4.14/4.18 [276]E(f108(x2761,x2762),f108(x2762,x2761))
% 4.14/4.18 [277]E(f104(x2771,x2772),f104(x2772,x2771))
% 4.14/4.18 [279]P11(x2791,f104(x2791,x2792))
% 4.14/4.18 [280]P11(f102(x2801,x2802),x2801)
% 4.14/4.18 [292]~P1(f108(x2921,x2922))
% 4.14/4.18 [282]E(f104(x2821,f102(x2822,x2821)),f104(x2821,x2822))
% 4.14/4.18 [283]E(f102(f104(x2831,x2832),x2832),f102(x2831,x2832))
% 4.14/4.18 [285]E(f102(x2851,f102(x2851,x2852)),f102(x2852,f102(x2852,x2851)))
% 4.14/4.18 [296]~P1(x2961)+E(x2961,a1)
% 4.14/4.18 [298]~P1(x2981)+P5(x2981)
% 4.14/4.18 [299]~P1(x2991)+P6(x2991)
% 4.14/4.18 [319]~P11(x3191,a1)+E(x3191,a1)
% 4.14/4.18 [304]~P1(x3041)+P1(f5(x3041))
% 4.14/4.18 [305]~P1(x3051)+P1(f95(x3051))
% 4.14/4.18 [306]~P1(x3061)+P1(f97(x3061))
% 4.14/4.18 [307]~P1(x3071)+P6(f5(x3071))
% 4.14/4.18 [308]~P1(x3081)+P6(f95(x3081))
% 4.14/4.18 [309]~P1(x3091)+P6(f97(x3091))
% 4.14/4.18 [310]~P6(x3101)+P6(f97(x3101))
% 4.14/4.18 [316]P1(x3161)+~P1(f59(x3161))
% 4.14/4.18 [320]P8(f9(x3201),x3201)+E(x3201,a1)
% 4.14/4.18 [323]P6(x3231)+P8(f10(x3231),x3231)
% 4.14/4.18 [333]P1(x3331)+P2(f59(x3331),f92(x3331))
% 4.14/4.18 [313]~P6(x3131)+E(f97(f97(x3131)),x3131)
% 4.14/4.18 [317]~P6(x3171)+E(f95(f97(x3171)),f5(x3171))
% 4.14/4.18 [318]~P6(x3181)+E(f5(f97(x3181)),f95(x3181))
% 4.14/4.18 [334]~P6(x3341)+E(f98(x3341,f5(x3341)),f95(x3341))
% 4.14/4.18 [351]~P6(x3511)+E(f104(f5(x3511),f95(x3511)),f99(x3511))
% 4.14/4.18 [445]~P6(x4451)+P11(x4451,f3(f5(x4451),f95(x4451)))
% 4.14/4.18 [312]~E(x3121,x3122)+P11(x3121,x3122)
% 4.14/4.18 [324]~P8(x3242,x3241)+~E(x3241,a1)
% 4.14/4.18 [326]~P9(x3261,x3262)+~E(x3261,x3262)
% 4.14/4.18 [332]~P1(x3321)+~P8(x3322,x3321)
% 4.14/4.18 [346]~P9(x3461,x3462)+P11(x3461,x3462)
% 4.14/4.18 [347]~P8(x3471,x3472)+P2(x3471,x3472)
% 4.14/4.18 [348]~P3(x3482,x3481)+P3(x3481,x3482)
% 4.14/4.18 [379]~P8(x3792,x3791)+~P8(x3791,x3792)
% 4.14/4.18 [380]~P9(x3802,x3801)+~P9(x3801,x3802)
% 4.14/4.18 [381]~P11(x3812,x3811)+~P9(x3811,x3812)
% 4.14/4.18 [343]~P11(x3431,x3432)+E(f102(x3431,x3432),a1)
% 4.14/4.18 [345]P11(x3451,x3452)+~E(f102(x3451,x3452),a1)
% 4.14/4.18 [349]~P6(x3491)+P6(f96(x3491,x3492))
% 4.14/4.18 [350]~P6(x3502)+P6(f103(x3501,x3502))
% 4.14/4.18 [352]~P11(x3521,x3522)+E(f104(x3521,x3522),x3522)
% 4.14/4.18 [353]~P3(x3531,x3532)+E(f102(x3531,x3532),x3531)
% 4.14/4.18 [354]P3(x3541,x3542)+~E(f102(x3541,x3542),x3541)
% 4.14/4.18 [364]~E(x3641,a1)+P11(x3641,f108(x3642,x3642))
% 4.14/4.18 [366]~P8(x3661,x3662)+P11(x3661,f101(x3662))
% 4.14/4.18 [367]~P11(x3671,x3672)+P2(x3671,f92(x3672))
% 4.14/4.18 [388]P11(x3881,x3882)+~P2(x3881,f92(x3882))
% 4.14/4.18 [389]~P6(x3891)+P11(f96(x3891,x3892),x3891)
% 4.14/4.18 [390]~P6(x3902)+P11(f103(x3901,x3902),x3902)
% 4.14/4.18 [395]P1(x3951)+~P1(f104(x3952,x3951))
% 4.14/4.18 [396]P1(x3961)+~P1(f104(x3961,x3962))
% 4.14/4.18 [399]~P6(x3991)+P11(f98(x3991,x3992),f95(x3991))
% 4.14/4.18 [400]~P6(x4001)+P11(f100(x4001,x4002),f5(x4001))
% 4.14/4.18 [401]P8(x4011,x4012)+P3(f108(x4011,x4011),x4012)
% 4.14/4.18 [402]P11(x4021,x4022)+P8(f22(x4021,x4022),x4021)
% 4.14/4.18 [403]P3(x4031,x4032)+P8(f71(x4031,x4032),x4032)
% 4.14/4.18 [404]P3(x4041,x4042)+P8(f71(x4041,x4042),x4041)
% 4.14/4.18 [407]P8(f92(x4071),f68(x4072))+~P8(x4071,f68(x4072))
% 4.14/4.18 [415]~P2(x4152,f92(x4151))+E(f106(x4151,x4152),f102(x4151,x4152))
% 4.14/4.18 [417]P8(f57(x4171,x4172),x4171)+P2(x4171,f92(x4172))
% 4.14/4.18 [424]~P8(x4241,x4242)+P11(f108(x4241,x4241),x4242)
% 4.14/4.18 [459]P11(x4591,x4592)+~P8(f22(x4591,x4592),x4592)
% 4.14/4.18 [460]~P8(x4602,f87(x4601))+P8(f89(x4601,x4602),f87(x4601))
% 4.14/4.18 [461]~P2(x4612,f92(x4611))+P2(f106(x4611,x4612),f92(x4611))
% 4.14/4.18 [466]~P8(f57(x4661,x4662),x4662)+P2(x4661,f92(x4662))
% 4.14/4.18 [473]~P8(x4731,x4732)+~P3(f108(x4731,x4731),x4732)
% 4.14/4.18 [494]E(x4941,x4942)+~P11(f108(x4941,x4941),f108(x4942,x4942))
% 4.14/4.18 [356]~P6(x3562)+E(f94(f86(x3561),x3562),f96(x3562,x3561))
% 4.14/4.18 [368]~P8(x3682,x3681)+E(f2(f86(x3681),x3682),x3682)
% 4.14/4.18 [405]P8(x4052,x4051)+E(f102(x4051,f108(x4052,x4052)),x4051)
% 4.14/4.18 [422]~P3(x4221,x4222)+E(f102(x4221,f102(x4221,x4222)),a1)
% 4.14/4.18 [428]~P11(x4281,x4282)+E(f104(x4281,f102(x4282,x4281)),x4282)
% 4.14/4.18 [429]~P11(x4291,x4292)+E(f102(x4291,f102(x4291,x4292)),x4291)
% 4.14/4.18 [431]~P8(x4311,x4312)+E(f104(f108(x4311,x4311),x4312),x4312)
% 4.14/4.18 [441]E(f109(x4411,x4412),f101(x4412))+~P2(x4412,f92(f92(x4411)))
% 4.14/4.18 [442]E(f93(x4421,x4422),f105(x4422))+~P2(x4422,f92(f92(x4421)))
% 4.14/4.18 [446]~P2(x4462,f92(x4461))+E(f106(x4461,f106(x4461,x4462)),x4462)
% 4.14/4.18 [454]P3(x4541,x4542)+~E(f102(x4541,f102(x4541,x4542)),a1)
% 4.14/4.18 [462]~P6(x4622)+P11(f95(f103(x4621,x4622)),x4621)
% 4.14/4.18 [467]~P6(x4671)+P11(f95(f96(x4671,x4672)),f95(x4671))
% 4.14/4.18 [468]~P6(x4682)+P11(f95(f103(x4681,x4682)),f95(x4682))
% 4.14/4.18 [475]~P8(x4752,x4751)+~E(f102(x4751,f108(x4752,x4752)),x4751)
% 4.14/4.18 [481]~P2(x4812,f92(f92(x4811)))+E(f4(x4811,f4(x4811,x4812)),x4812)
% 4.14/4.18 [489]P2(f109(x4891,x4892),f92(x4891))+~P2(x4892,f92(f92(x4891)))
% 4.14/4.18 [490]P2(f93(x4901,x4902),f92(x4901))+~P2(x4902,f92(f92(x4901)))
% 4.14/4.18 [497]~P2(x4972,f92(f92(x4971)))+P2(f4(x4971,x4972),f92(f92(x4971)))
% 4.14/4.18 [517]P3(x5171,x5172)+P8(f77(x5171,x5172),f102(x5171,f102(x5171,x5172)))
% 4.14/4.18 [485]~P6(x4851)+E(f102(f5(x4851),f102(f5(x4851),x4852)),f5(f96(x4851,x4852)))
% 4.14/4.18 [486]~P6(x4861)+E(f102(f95(x4861),f102(f95(x4861),x4862)),f95(f103(x4862,x4861)))
% 4.14/4.18 [531]~P6(x5311)+E(f98(x5311,f102(f5(x5311),f102(f5(x5311),x5312))),f98(x5311,x5312))
% 4.14/4.18 [386]E(x3861,x3862)+~E(f108(x3863,x3863),f108(x3861,x3862))
% 4.14/4.18 [387]E(x3871,x3872)+~E(f108(x3871,x3871),f108(x3872,x3873))
% 4.14/4.18 [455]P8(x4551,x4552)+~P11(f108(x4553,x4551),x4552)
% 4.14/4.18 [456]P8(x4561,x4562)+~P11(f108(x4561,x4563),x4562)
% 4.14/4.18 [476]~P11(x4761,x4763)+P11(f3(x4761,x4762),f3(x4763,x4762))
% 4.14/4.18 [477]~P11(x4772,x4773)+P11(f3(x4771,x4772),f3(x4771,x4773))
% 4.14/4.18 [478]~P11(x4781,x4783)+P11(f102(x4781,x4782),f102(x4783,x4782))
% 4.14/4.18 [474]~P6(x4742)+E(f103(x4741,f96(x4742,x4743)),f96(f103(x4741,x4742),x4743))
% 4.14/4.18 [505]P6(x5051)+~E(f10(x5051),f108(f108(x5052,x5053),f108(x5052,x5052)))
% 4.14/4.18 [539]~P3(x5391,x5392)+~P8(x5393,f102(x5391,f102(x5391,x5392)))
% 4.14/4.18 [549]~P11(x5491,x5493)+P11(f102(x5491,f102(x5491,x5492)),f102(x5493,f102(x5493,x5492)))
% 4.14/4.18 [553]E(x5531,x5532)+~E(f108(f108(x5533,x5531),f108(x5533,x5533)),f108(f108(x5534,x5532),f108(x5534,x5534)))
% 4.14/4.18 [554]E(x5541,x5542)+~E(f108(f108(x5541,x5543),f108(x5541,x5541)),f108(f108(x5542,x5544),f108(x5542,x5542)))
% 4.14/4.18 [589]P8(x5891,x5892)+~P8(f108(f108(x5893,x5891),f108(x5893,x5893)),f3(x5894,x5892))
% 4.14/4.18 [591]P8(x5911,x5912)+~P8(f108(f108(x5911,x5913),f108(x5911,x5911)),f3(x5912,x5914))
% 4.14/4.18 [301]~P6(x3011)+E(x3011,a1)+~E(f5(x3011),a1)
% 4.14/4.18 [302]~P6(x3021)+E(x3021,a1)+~E(f95(x3021),a1)
% 4.14/4.18 [314]~P6(x3141)+~E(f95(x3141),a1)+E(f5(x3141),a1)
% 4.14/4.18 [315]~P6(x3151)+~E(f5(x3151),a1)+E(f95(x3151),a1)
% 4.14/4.18 [321]~P5(x3211)+~P6(x3211)+P5(f88(x3211))
% 4.14/4.18 [322]~P5(x3221)+~P6(x3221)+P6(f88(x3221))
% 4.14/4.18 [328]~P6(x3281)+P1(x3281)+~P1(f5(x3281))
% 4.14/4.18 [329]~P6(x3291)+P1(x3291)+~P1(f95(x3291))
% 4.14/4.18 [566]~P6(x5661)+E(x5661,a1)+P8(f108(f108(f82(x5661),f83(x5661)),f108(f82(x5661),f82(x5661))),x5661)
% 4.14/4.18 [303]~P1(x3032)+~P1(x3031)+E(x3031,x3032)
% 4.14/4.18 [330]~P1(x3302)+~P1(x3301)+P2(x3301,x3302)
% 4.14/4.18 [339]~P2(x3391,x3392)+P1(x3391)+~P1(x3392)
% 4.14/4.18 [355]P9(x3551,x3552)+~P11(x3551,x3552)+E(x3551,x3552)
% 4.14/4.18 [358]~P2(x3582,x3581)+P1(x3581)+P8(x3582,x3581)
% 4.14/4.18 [391]~P11(x3912,x3911)+~P11(x3911,x3912)+E(x3911,x3912)
% 4.14/4.18 [297]~E(x2972,a1)+~E(x2971,a1)+E(x2971,f105(x2972))
% 4.14/4.18 [300]~E(x3001,f105(x3002))+E(x3001,a1)+~E(x3002,a1)
% 4.14/4.18 [369]~P1(x3692)+~P6(x3691)+P1(f94(x3691,x3692))
% 4.14/4.18 [370]~P1(x3701)+~P6(x3702)+P1(f94(x3701,x3702))
% 4.14/4.18 [371]~P5(x3711)+~P6(x3711)+P5(f96(x3711,x3712))
% 4.14/4.18 [372]~P6(x3722)+~P6(x3721)+P6(f104(x3721,x3722))
% 4.14/4.18 [375]~P1(x3752)+~P6(x3751)+P6(f94(x3751,x3752))
% 4.14/4.18 [376]~P1(x3761)+~P6(x3762)+P6(f94(x3761,x3762))
% 4.14/4.18 [377]~P6(x3772)+~P6(x3771)+P6(f94(x3771,x3772))
% 4.14/4.18 [378]~P6(x3781)+~P10(x3781)+P10(f96(x3781,x3782))
% 4.14/4.18 [406]P1(x4061)+P1(x4062)+~P1(f3(x4062,x4061))
% 4.14/4.18 [444]E(f16(x4442,x4441),x4442)+P8(f16(x4442,x4441),x4441)+E(x4441,f108(x4442,x4442))
% 4.14/4.18 [447]P8(x4471,f68(x4472))+P4(x4471,f68(x4472))+~P11(x4471,f68(x4472))
% 4.14/4.18 [448]P8(x4481,f87(x4482))+P4(x4481,f87(x4482))+~P11(x4481,f87(x4482))
% 4.14/4.18 [464]E(x4641,f108(x4642,x4642))+~P11(x4641,f108(x4642,x4642))+E(x4641,a1)
% 4.14/4.18 [465]E(x4651,x4652)+P8(f73(x4651,x4652),x4652)+P8(f73(x4651,x4652),x4651)
% 4.14/4.18 [471]P8(f23(x4712,x4711),x4711)+P11(f23(x4712,x4711),x4712)+E(x4711,f92(x4712))
% 4.14/4.18 [472]P8(f36(x4722,x4721),x4721)+P8(f42(x4722,x4721),x4722)+E(x4721,f101(x4722))
% 4.14/4.18 [493]~E(f16(x4932,x4931),x4932)+~P8(f16(x4932,x4931),x4931)+E(x4931,f108(x4932,x4932))
% 4.14/4.18 [502]P8(f36(x5022,x5021),x5021)+P8(f36(x5022,x5021),f42(x5022,x5021))+E(x5021,f101(x5022))
% 4.14/4.18 [514]E(x5141,x5142)+~P8(f73(x5141,x5142),x5142)+~P8(f73(x5141,x5142),x5141)
% 4.14/4.18 [516]~P8(f23(x5162,x5161),x5161)+~P11(f23(x5162,x5161),x5162)+E(x5161,f92(x5162))
% 4.14/4.18 [434]~P6(x4342)+~P6(x4341)+E(f95(f94(x4341,x4342)),f98(x4342,f95(x4341)))
% 4.14/4.18 [453]E(x4531,a1)+~P2(x4531,f92(f92(x4532)))+~E(f4(x4532,x4531),a1)
% 4.14/4.18 [482]~P6(x4822)+~P6(x4821)+P11(f5(f94(x4821,x4822)),f5(x4821))
% 4.14/4.18 [483]~P6(x4832)+~P6(x4831)+P11(f95(f94(x4831,x4832)),f95(x4832))
% 4.14/4.18 [488]~P6(x4882)+~P6(x4881)+P6(f102(x4881,f102(x4881,x4882)))
% 4.14/4.18 [540]E(x5401,a1)+~P2(x5401,f92(f92(x5402)))+E(f107(x5402,x5402,f93(x5402,x5401)),f109(x5402,f4(x5402,x5401)))
% 4.14/4.18 [541]E(x5411,a1)+~P2(x5411,f92(f92(x5412)))+E(f107(x5412,x5412,f109(x5412,x5411)),f93(x5412,f4(x5412,x5411)))
% 4.14/4.18 [599]~P6(x5991)+~P8(x5992,x5991)+E(f108(f108(f14(x5991,x5992),f15(x5991,x5992)),f108(f14(x5991,x5992),f14(x5991,x5992))),x5992)
% 4.14/4.18 [411]~P11(x4113,x4112)+P8(x4111,x4112)+~P8(x4111,x4113)
% 4.14/4.18 [412]~P11(x4121,x4123)+P11(x4121,x4122)+~P11(x4123,x4122)
% 4.14/4.18 [413]~P3(x4133,x4132)+P3(x4131,x4132)+~P11(x4131,x4133)
% 4.14/4.18 [435]~P3(x4353,x4352)+~P8(x4351,x4352)+~P8(x4351,x4353)
% 4.14/4.18 [382]~P11(x3821,x3823)+P8(x3821,x3822)+~E(x3822,f92(x3823))
% 4.14/4.18 [383]~P8(x3831,x3833)+P11(x3831,x3832)+~E(x3833,f92(x3832))
% 4.14/4.18 [393]~P8(x3931,x3933)+E(x3931,x3932)+~E(x3933,f108(x3932,x3932))
% 4.14/4.18 [421]~P1(x4211)+~P8(x4212,x4213)+~P2(x4213,f92(x4211))
% 4.14/4.18 [439]P8(x4391,x4392)+~P8(x4391,x4393)+~P2(x4393,f92(x4392))
% 4.14/4.18 [440]P2(x4401,x4402)+~P8(x4401,x4403)+~P2(x4403,f92(x4402))
% 4.14/4.18 [449]~P11(x4491,x4493)+P8(x4491,f68(x4492))+~P8(x4493,f68(x4492))
% 4.14/4.18 [450]~P11(x4501,x4503)+P8(x4501,f87(x4502))+~P8(x4503,f87(x4502))
% 4.14/4.18 [469]~P8(x4692,x4693)+~P8(x4691,x4693)+P11(f108(x4691,x4692),x4693)
% 4.14/4.18 [470]~P11(x4702,x4703)+~P11(x4701,x4703)+P11(f104(x4701,x4702),x4703)
% 4.14/4.18 [484]~P11(x4841,x4843)+~P8(x4843,f87(x4842))+P8(x4841,f89(x4842,x4843))
% 4.14/4.18 [487]~P6(x4871)+~P11(x4872,x4873)+P11(f100(x4871,x4872),f100(x4871,x4873))
% 4.14/4.18 [509]~P8(x5091,x5092)+~P8(x5091,f106(x5093,x5092))+~P2(x5092,f92(x5093))
% 4.14/4.18 [519]~P2(x5193,f92(x5191))+~P2(x5192,f92(x5191))+E(f107(x5191,x5192,x5193),f102(x5192,x5193))
% 4.14/4.18 [532]~P8(x5321,x5323)+~E(x5323,f101(x5322))+P8(x5321,f37(x5322,x5323,x5321))
% 4.14/4.18 [533]~P8(x5333,x5332)+~E(x5332,f101(x5331))+P8(f37(x5331,x5332,x5333),x5331)
% 4.14/4.18 [546]~P6(x5463)+~P8(x5461,f98(x5463,x5462))+P8(f74(x5461,x5462,x5463),x5462)
% 4.14/4.18 [547]~P6(x5473)+~P8(x5471,f100(x5473,x5472))+P8(f75(x5471,x5472,x5473),x5472)
% 4.14/4.18 [548]~P2(x5483,f92(x5481))+~P2(x5482,f92(x5481))+P2(f107(x5481,x5482,x5483),f92(x5481))
% 4.14/4.18 [550]~P6(x5503)+~P8(x5501,f98(x5503,x5502))+P8(f74(x5501,x5502,x5503),f5(x5503))
% 4.14/4.18 [551]~P6(x5513)+~P8(x5511,f100(x5513,x5512))+P8(f75(x5511,x5512,x5513),f95(x5513))
% 4.14/4.18 [575]P8(f27(x5752,x5753,x5751),x5751)+P8(f31(x5752,x5753,x5751),x5752)+E(x5751,f3(x5752,x5753))
% 4.14/4.18 [576]P8(f27(x5762,x5763,x5761),x5761)+P8(f32(x5762,x5763,x5761),x5763)+E(x5761,f3(x5762,x5763))
% 4.14/4.18 [577]P8(f44(x5772,x5773,x5771),x5771)+P8(f44(x5772,x5773,x5771),x5772)+E(x5771,f102(x5772,x5773))
% 4.14/4.18 [595]~E(f24(x5952,x5953,x5951),x5953)+~P8(f24(x5952,x5953,x5951),x5951)+E(x5951,f108(x5952,x5953))
% 4.14/4.18 [596]~E(f24(x5962,x5963,x5961),x5962)+~P8(f24(x5962,x5963,x5961),x5961)+E(x5961,f108(x5962,x5963))
% 4.14/4.18 [601]P8(f44(x6012,x6013,x6011),x6011)+~P8(f44(x6012,x6013,x6011),x6013)+E(x6011,f102(x6012,x6013))
% 4.14/4.18 [608]~P8(f28(x6082,x6083,x6081),x6081)+~P8(f28(x6082,x6083,x6081),x6083)+E(x6081,f104(x6082,x6083))
% 4.14/4.18 [609]~P8(f28(x6092,x6093,x6091),x6091)+~P8(f28(x6092,x6093,x6091),x6092)+E(x6091,f104(x6092,x6093))
% 4.14/4.18 [515]~P11(x5152,x5153)+P8(x5151,x5152)+P11(x5152,f102(x5153,f108(x5151,x5151)))
% 4.14/4.18 [522]P8(x5221,x5222)+~P6(x5223)+~P8(x5221,f5(f96(x5223,x5222)))
% 4.14/4.18 [523]P8(x5231,x5232)+~P6(x5233)+~P8(x5231,f95(f103(x5232,x5233)))
% 4.14/4.18 [524]~P11(x5241,x5243)+~P11(x5241,x5242)+P11(x5241,f102(x5242,f102(x5242,x5243)))
% 4.14/4.18 [526]~P6(x5262)+P8(x5261,f5(x5262))+~P8(x5261,f5(f96(x5262,x5263)))
% 4.14/4.18 [527]~P6(x5272)+P8(x5271,f95(x5272))+~P8(x5271,f95(f103(x5273,x5272)))
% 4.14/4.18 [567]~P6(x5672)+P8(x5671,f5(x5672))+~P8(f108(f108(x5671,x5673),f108(x5671,x5671)),x5672)
% 4.14/4.18 [568]~P6(x5682)+P8(x5681,f95(x5682))+~P8(f108(f108(x5683,x5681),f108(x5683,x5683)),x5682)
% 4.14/4.18 [569]~P6(x5692)+P8(x5691,f99(x5692))+~P8(f108(f108(x5693,x5691),f108(x5693,x5693)),x5692)
% 4.14/4.18 [570]~P6(x5702)+P8(x5701,f99(x5702))+~P8(f108(f108(x5701,x5703),f108(x5701,x5701)),x5702)
% 4.14/4.18 [592]P8(f38(x5922,x5923,x5921),x5921)+P8(f38(x5922,x5923,x5921),x5923)+E(x5921,f102(x5922,f102(x5922,x5923)))
% 4.14/4.18 [593]P8(f38(x5932,x5933,x5931),x5931)+P8(f38(x5932,x5933,x5931),x5932)+E(x5931,f102(x5932,f102(x5932,x5933)))
% 4.14/4.18 [633]~P6(x6333)+~P8(x6331,f100(x6333,x6332))+P8(f108(f108(x6331,f75(x6331,x6332,x6333)),f108(x6331,x6331)),x6333)
% 4.14/4.18 [639]P8(f27(x6392,x6393,x6391),x6391)+E(x6391,f3(x6392,x6393))+E(f108(f108(f31(x6392,x6393,x6391),f32(x6392,x6393,x6391)),f108(f31(x6392,x6393,x6391),f31(x6392,x6393,x6391))),f27(x6392,x6393,x6391))
% 4.14/4.18 [644]~P6(x6443)+~P8(x6441,f98(x6443,x6442))+P8(f108(f108(f74(x6441,x6442,x6443),x6441),f108(f74(x6441,x6442,x6443),f74(x6441,x6442,x6443))),x6443)
% 4.14/4.18 [360]P8(x3601,x3602)+~E(x3601,x3603)+~E(x3602,f108(x3604,x3603))
% 4.14/4.18 [361]P8(x3611,x3612)+~E(x3611,x3613)+~E(x3612,f108(x3613,x3614))
% 4.14/4.18 [392]E(x3921,x3922)+E(x3921,x3923)+~E(f108(x3921,x3924),f108(x3923,x3922))
% 4.14/4.18 [418]~P8(x4181,x4184)+P8(x4181,x4182)+~E(x4182,f104(x4183,x4184))
% 4.14/4.18 [419]~P8(x4191,x4193)+P8(x4191,x4192)+~E(x4192,f104(x4193,x4194))
% 4.14/4.18 [420]~P8(x4201,x4203)+P8(x4201,x4202)+~E(x4203,f102(x4202,x4204))
% 4.14/4.18 [438]~P8(x4384,x4383)+~P8(x4384,x4381)+~E(x4381,f102(x4382,x4383))
% 4.14/4.18 [501]~P11(x5012,x5014)+~P11(x5011,x5013)+P11(f3(x5011,x5012),f3(x5013,x5014))
% 4.14/4.18 [622]~P8(x6224,x6223)+~E(x6223,f3(x6221,x6222))+P8(f29(x6221,x6222,x6223,x6224),x6221)
% 4.14/4.18 [623]~P8(x6234,x6233)+~E(x6233,f3(x6231,x6232))+P8(f30(x6231,x6232,x6233,x6234),x6232)
% 4.14/4.18 [491]~P8(x4911,x4913)+P8(x4911,x4912)+~E(x4913,f102(x4914,f102(x4914,x4912)))
% 4.14/4.18 [559]~P8(x5592,x5594)+~P8(x5591,x5593)+P8(f108(f108(x5591,x5592),f108(x5591,x5591)),f3(x5593,x5594))
% 4.14/4.18 [600]P8(x6001,x6002)+~P6(x6003)+~P8(f108(f108(x6001,x6004),f108(x6001,x6001)),f94(f86(x6002),x6003))
% 4.14/4.18 [615]~P6(x6153)+P8(f108(f108(x6151,x6152),f108(x6151,x6151)),x6153)+~P8(f108(f108(x6151,x6152),f108(x6151,x6151)),f94(f86(x6154),x6153))
% 4.14/4.18 [657]~P8(x6574,x6573)+~E(x6573,f3(x6571,x6572))+E(f108(f108(f29(x6571,x6572,x6573,x6574),f30(x6571,x6572,x6573,x6574)),f108(f29(x6571,x6572,x6573,x6574),f29(x6571,x6572,x6573,x6574))),x6574)
% 4.14/4.18 [325]~P1(x3251)+~P5(x3251)+~P6(x3251)+P7(x3251)
% 4.14/4.18 [331]~P5(x3311)+~P6(x3311)+~P7(x3311)+E(f88(x3311),f97(x3311))
% 4.14/4.18 [335]~P5(x3351)+~P6(x3351)+P7(x3351)+~E(f21(x3351),f50(x3351))
% 4.14/4.18 [336]~P5(x3361)+~P6(x3361)+~P7(x3361)+P5(f97(x3361))
% 4.14/4.18 [338]~P5(x3381)+~P6(x3381)+~P7(x3381)+P7(f88(x3381))
% 4.14/4.18 [384]~P5(x3841)+~P6(x3841)+P7(x3841)+P8(f21(x3841),f5(x3841))
% 4.14/4.18 [385]~P5(x3851)+~P6(x3851)+P7(x3851)+P8(f50(x3851),f5(x3851))
% 4.14/4.18 [340]~P5(x3401)+~P6(x3401)+~P7(x3401)+E(f95(f88(x3401)),f5(x3401))
% 4.14/4.18 [341]~P5(x3411)+~P6(x3411)+~P7(x3411)+E(f5(f88(x3411)),f95(x3411))
% 4.14/4.18 [410]P7(x4101)+~P5(x4101)+~P6(x4101)+E(f2(x4101,f21(x4101)),f2(x4101,f50(x4101)))
% 4.14/4.18 [327]~P5(x3271)+~P6(x3271)+~E(x3271,f86(x3272))+E(f5(x3271),x3272)
% 4.14/4.18 [425]~P6(x4252)+~P11(x4251,f95(x4252))+E(x4251,a1)+~E(f100(x4252,x4251),a1)
% 4.14/4.18 [426]~P6(x4262)+~P6(x4261)+~P11(x4261,x4262)+P11(f5(x4261),f5(x4262))
% 4.14/4.18 [427]~P6(x4272)+~P6(x4271)+~P11(x4271,x4272)+P11(f95(x4271),f95(x4272))
% 4.14/4.18 [499]P8(f19(x4991,x4992),x4991)+~P8(f17(x4991,x4992),x4992)+E(x4991,a1)+E(x4992,f105(x4991))
% 4.14/4.18 [542]~P8(f17(x5421,x5422),x5422)+~P8(f17(x5421,x5422),f19(x5421,x5422))+E(x5421,a1)+E(x5422,f105(x5421))
% 4.14/4.18 [479]~P6(x4792)+~P6(x4791)+~P11(f95(x4791),f5(x4792))+E(f5(f94(x4791,x4792)),f5(x4791))
% 4.14/4.18 [480]~P6(x4801)+~P6(x4802)+~P11(f5(x4802),f95(x4801))+E(f95(f94(x4801,x4802)),f95(x4802))
% 4.14/4.18 [626]~P6(x6262)+~P6(x6261)+P11(x6261,x6262)+P8(f108(f108(f34(x6261,x6262),f35(x6261,x6262)),f108(f34(x6261,x6262),f34(x6261,x6262))),x6261)
% 4.14/4.18 [627]~P6(x6271)+E(f20(x6272,x6271),f33(x6272,x6271))+E(x6271,f86(x6272))+P8(f108(f108(f20(x6272,x6271),f33(x6272,x6271)),f108(f20(x6272,x6271),f20(x6272,x6271))),x6271)
% 4.14/4.18 [629]~P6(x6291)+P8(f20(x6292,x6291),x6292)+E(x6291,f86(x6292))+P8(f108(f108(f20(x6292,x6291),f33(x6292,x6291)),f108(f20(x6292,x6291),f20(x6292,x6291))),x6291)
% 4.14/4.18 [630]~P6(x6302)+P8(f40(x6302,x6301),x6301)+E(x6301,f5(x6302))+P8(f108(f108(f40(x6302,x6301),f41(x6302,x6301)),f108(f40(x6302,x6301),f40(x6302,x6301))),x6302)
% 4.14/4.18 [631]~P6(x6312)+P8(f45(x6312,x6311),x6311)+E(x6311,f95(x6312))+P8(f108(f108(f47(x6312,x6311),f45(x6312,x6311)),f108(f47(x6312,x6311),f47(x6312,x6311))),x6312)
% 4.14/4.18 [637]~P6(x6372)+~P6(x6371)+P11(x6371,x6372)+~P8(f108(f108(f34(x6371,x6372),f35(x6371,x6372)),f108(f34(x6371,x6372),f34(x6371,x6372))),x6372)
% 4.14/4.18 [513]~P3(x5131,x5133)+~P2(x5133,f92(x5132))+~P2(x5131,f92(x5132))+P11(x5131,f106(x5132,x5133))
% 4.14/4.18 [528]P3(x5281,x5282)+~P11(x5281,f106(x5283,x5282))+~P2(x5282,f92(x5283))+~P2(x5281,f92(x5283))
% 4.14/4.18 [529]P8(x5292,x5293)+P8(f18(x5291,x5293,x5292),x5291)+~E(x5293,f105(x5291))+E(x5291,a1)
% 4.14/4.18 [534]~P8(x5343,x5342)+~P8(f36(x5342,x5341),x5343)+~P8(f36(x5342,x5341),x5341)+E(x5341,f101(x5342))
% 4.14/4.18 [557]P8(x5572,x5573)+~E(x5573,f105(x5571))+~P8(x5572,f18(x5571,x5573,x5572))+E(x5571,a1)
% 4.14/4.18 [565]E(f24(x5652,x5653,x5651),x5653)+E(f24(x5652,x5653,x5651),x5652)+P8(f24(x5652,x5653,x5651),x5651)+E(x5651,f108(x5652,x5653))
% 4.14/4.18 [581]~P6(x5812)+P8(f90(x5812,x5813,x5811),x5811)+P8(f91(x5812,x5813,x5811),x5813)+E(x5811,f98(x5812,x5813))
% 4.14/4.18 [582]~P6(x5822)+P8(f11(x5822,x5823,x5821),x5821)+P8(f13(x5822,x5823,x5821),x5823)+E(x5821,f100(x5822,x5823))
% 4.14/4.18 [605]P8(f28(x6052,x6053,x6051),x6051)+P8(f28(x6052,x6053,x6051),x6053)+P8(f28(x6052,x6053,x6051),x6052)+E(x6051,f104(x6052,x6053))
% 4.14/4.18 [620]P8(f44(x6202,x6203,x6201),x6203)+~P8(f44(x6202,x6203,x6201),x6201)+~P8(f44(x6202,x6203,x6201),x6202)+E(x6201,f102(x6202,x6203))
% 4.14/4.18 [520]~P6(x5202)+~P8(x5201,x5203)+~P8(x5201,f5(x5202))+P8(x5201,f5(f96(x5202,x5203)))
% 4.14/4.18 [521]~P6(x5213)+~P8(x5211,x5212)+~P8(x5211,f95(x5213))+P8(x5211,f95(f103(x5212,x5213)))
% 4.14/4.18 [564]P2(f51(x5642,x5643,x5641),f92(x5642))+E(x5641,f4(x5642,x5643))+~P2(x5641,f92(f92(x5642)))+~P2(x5643,f92(f92(x5642)))
% 4.14/4.18 [571]~P5(x5712)+~P6(x5712)+E(x5711,f2(x5712,x5713))+~P8(f108(f108(x5713,x5711),f108(x5713,x5713)),x5712)
% 4.14/4.18 [618]~P6(x6182)+~P8(f45(x6182,x6181),x6181)+E(x6181,f95(x6182))+~P8(f108(f108(x6183,f45(x6182,x6181)),f108(x6183,x6183)),x6182)
% 4.14/4.18 [628]~P6(x6282)+~P8(x6281,x6283)+~E(x6283,f5(x6282))+P8(f108(f108(x6281,f39(x6282,x6283,x6281)),f108(x6281,x6281)),x6282)
% 4.14/4.18 [632]~P8(f38(x6322,x6323,x6321),x6321)+~P8(f38(x6322,x6323,x6321),x6323)+~P8(f38(x6322,x6323,x6321),x6322)+E(x6321,f102(x6322,f102(x6322,x6323)))
% 4.14/4.18 [636]~P6(x6362)+~P8(f40(x6362,x6361),x6361)+E(x6361,f5(x6362))+~P8(f108(f108(f40(x6362,x6361),x6363),f108(f40(x6362,x6361),f40(x6362,x6361))),x6362)
% 4.14/4.18 [643]~P6(x6431)+~P8(x6433,x6432)+~E(x6432,f95(x6431))+P8(f108(f108(f46(x6431,x6432,x6433),x6433),f108(f46(x6431,x6432,x6433),f46(x6431,x6432,x6433))),x6431)
% 4.14/4.18 [647]~P6(x6472)+P8(f90(x6472,x6473,x6471),x6471)+E(x6471,f98(x6472,x6473))+P8(f108(f108(f91(x6472,x6473,x6471),f90(x6472,x6473,x6471)),f108(f91(x6472,x6473,x6471),f91(x6472,x6473,x6471))),x6472)
% 4.14/4.18 [648]~P6(x6482)+P8(f11(x6482,x6483,x6481),x6481)+E(x6481,f100(x6482,x6483))+P8(f108(f108(f11(x6482,x6483,x6481),f13(x6482,x6483,x6481)),f108(f11(x6482,x6483,x6481),f11(x6482,x6483,x6481))),x6482)
% 4.14/4.18 [394]~P8(x3941,x3944)+E(x3941,x3942)+E(x3941,x3943)+~E(x3944,f108(x3943,x3942))
% 4.14/4.18 [436]~P8(x4361,x4364)+P8(x4361,x4362)+~P8(x4364,x4363)+~E(x4362,f101(x4363))
% 4.14/4.18 [451]~P8(x4511,x4514)+P8(x4511,x4512)+P8(x4511,x4513)+~E(x4512,f102(x4514,x4513))
% 4.14/4.18 [452]~P8(x4521,x4524)+P8(x4521,x4522)+P8(x4521,x4523)+~E(x4524,f104(x4523,x4522))
% 4.14/4.18 [624]~P6(x6241)+~P8(x6244,x6243)+~E(x6243,f98(x6241,x6242))+P8(f85(x6241,x6242,x6243,x6244),x6242)
% 4.14/4.18 [625]~P6(x6251)+~P8(x6254,x6253)+~E(x6253,f100(x6251,x6252))+P8(f12(x6251,x6252,x6253,x6254),x6252)
% 4.14/4.18 [512]~P8(x5121,x5124)+~P8(x5121,x5123)+P8(x5121,x5122)+~E(x5122,f102(x5123,f102(x5123,x5124)))
% 4.14/4.18 [563]~P6(x5633)+E(x5631,x5632)+~E(x5633,f86(x5634))+~P8(f108(f108(x5631,x5632),f108(x5631,x5631)),x5633)
% 4.14/4.18 [572]~P6(x5723)+P8(x5721,x5722)+~E(x5722,f95(x5723))+~P8(f108(f108(x5724,x5721),f108(x5724,x5724)),x5723)
% 4.14/4.18 [573]~P6(x5733)+P8(x5731,x5732)+~E(x5732,f5(x5733))+~P8(f108(f108(x5731,x5734),f108(x5731,x5731)),x5733)
% 4.14/4.18 [574]~P6(x5743)+P8(x5741,x5742)+~E(x5743,f86(x5742))+~P8(f108(f108(x5741,x5744),f108(x5741,x5741)),x5743)
% 4.14/4.18 [616]~P6(x6164)+~P8(x6161,x6163)+~P8(f108(f108(x6161,x6162),f108(x6161,x6161)),x6164)+P8(f108(f108(x6161,x6162),f108(x6161,x6161)),f94(f86(x6163),x6164))
% 4.14/4.18 [651]~P6(x6512)+~P8(x6511,x6514)+~E(x6514,f100(x6512,x6513))+P8(f108(f108(x6511,f12(x6512,x6513,x6514,x6511)),f108(x6511,x6511)),x6512)
% 4.14/4.18 [661]~P6(x6611)+~P8(x6614,x6613)+~E(x6613,f98(x6611,x6612))+P8(f108(f108(f85(x6611,x6612,x6613,x6614),x6614),f108(f85(x6611,x6612,x6613,x6614),f85(x6611,x6612,x6613,x6614))),x6611)
% 4.14/4.18 [408]~P5(x4082)+~P5(x4081)+~P6(x4082)+~P6(x4081)+P5(f94(x4081,x4082))
% 4.14/4.18 [437]~P5(x4371)+~P6(x4371)+P8(f72(x4372,x4371),x4372)+~E(f5(x4371),x4372)+E(x4371,f86(x4372))
% 4.14/4.18 [503]~P5(x5031)+~P6(x5031)+~E(f5(x5031),x5032)+E(x5031,f86(x5032))+~E(f2(x5031,f72(x5032,x5031)),f72(x5032,x5031))
% 4.14/4.18 [495]~P5(x4951)+~P6(x4951)+~P7(x4951)+~P8(x4952,f95(x4951))+E(f2(x4951,f2(f88(x4951),x4952)),x4952)
% 4.14/4.18 [496]~P5(x4961)+~P6(x4961)+~P7(x4961)+~P8(x4962,f95(x4961))+E(f2(f94(f88(x4961),x4961),x4962),x4962)
% 4.14/4.18 [638]~P6(x6381)+~E(f20(x6382,x6381),f33(x6382,x6381))+~P8(f20(x6382,x6381),x6382)+E(x6381,f86(x6382))+~P8(f108(f108(f20(x6382,x6381),f33(x6382,x6381)),f108(f20(x6382,x6381),f20(x6382,x6381))),x6381)
% 4.14/4.18 [641]~P6(x6412)+~P6(x6411)+E(x6411,x6412)+P8(f108(f108(f25(x6411,x6412),f26(x6411,x6412)),f108(f25(x6411,x6412),f25(x6411,x6412))),x6412)+P8(f108(f108(f25(x6411,x6412),f26(x6411,x6412)),f108(f25(x6411,x6412),f25(x6411,x6412))),x6411)
% 4.14/4.18 [642]~P6(x6421)+~P6(x6422)+E(x6421,f97(x6422))+P8(f108(f108(f48(x6422,x6421),f49(x6422,x6421)),f108(f48(x6422,x6421),f48(x6422,x6421))),x6421)+P8(f108(f108(f49(x6422,x6421),f48(x6422,x6421)),f108(f49(x6422,x6421),f49(x6422,x6421))),x6422)
% 4.14/4.18 [645]~P6(x6452)+~P6(x6451)+E(x6451,x6452)+~P8(f108(f108(f25(x6451,x6452),f26(x6451,x6452)),f108(f25(x6451,x6452),f25(x6451,x6452))),x6452)+~P8(f108(f108(f25(x6451,x6452),f26(x6451,x6452)),f108(f25(x6451,x6452),f25(x6451,x6452))),x6451)
% 4.14/4.18 [646]~P6(x6461)+~P6(x6462)+E(x6461,f97(x6462))+~P8(f108(f108(f48(x6462,x6461),f49(x6462,x6461)),f108(f48(x6462,x6461),f48(x6462,x6461))),x6461)+~P8(f108(f108(f49(x6462,x6461),f48(x6462,x6461)),f108(f49(x6462,x6461),f49(x6462,x6461))),x6462)
% 4.14/4.18 [397]~P5(x3972)+~P6(x3972)+P8(x3973,f5(x3972))+~E(x3971,a1)+E(x3971,f2(x3972,x3973))
% 4.14/4.18 [414]~P5(x4143)+~P6(x4143)+~E(x4141,f2(x4143,x4142))+E(x4141,a1)+P8(x4142,f5(x4143))
% 4.14/4.18 [416]~P5(x4161)+~P6(x4161)+~P8(x4162,x4163)+E(f2(x4161,x4162),x4162)+~E(x4161,f86(x4163))
% 4.14/4.18 [498]~P8(x4983,x4981)+P8(f17(x4981,x4982),x4982)+E(x4981,a1)+E(x4982,f105(x4981))+P8(f17(x4981,x4982),x4983)
% 4.14/4.18 [500]~P2(x5002,x5001)+P8(x5002,x5003)+P8(x5002,f106(x5001,x5003))+~P2(x5003,f92(x5001))+E(x5001,a1)
% 4.14/4.18 [556]~P5(x5563)+~P6(x5563)+~E(x5562,f2(x5563,x5561))+~P8(x5561,f5(x5563))+P8(f108(f108(x5561,x5562),f108(x5561,x5561)),x5563)
% 4.14/4.18 [619]P8(f51(x6192,x6193,x6191),x6191)+E(x6191,f4(x6192,x6193))+P8(f106(x6192,f51(x6192,x6193,x6191)),x6193)+~P2(x6191,f92(f92(x6192)))+~P2(x6193,f92(f92(x6192)))
% 4.14/4.18 [635]~P8(f51(x6352,x6353,x6351),x6351)+E(x6351,f4(x6352,x6353))+~P2(x6351,f92(f92(x6352)))+~P2(x6353,f92(f92(x6352)))+~P8(f106(x6352,f51(x6352,x6353,x6351)),x6353)
% 4.14/4.18 [649]~P6(x6491)+~P6(x6492)+P8(f43(x6492,x6493,x6491),x6493)+E(x6491,f96(x6492,x6493))+P8(f108(f108(f43(x6492,x6493,x6491),f52(x6492,x6493,x6491)),f108(f43(x6492,x6493,x6491),f43(x6492,x6493,x6491))),x6491)
% 4.14/4.18 [650]~P6(x6501)+~P6(x6503)+P8(f76(x6502,x6503,x6501),x6502)+E(x6501,f103(x6502,x6503))+P8(f108(f108(f61(x6502,x6503,x6501),f76(x6502,x6503,x6501)),f108(f61(x6502,x6503,x6501),f61(x6502,x6503,x6501))),x6501)
% 4.14/4.18 [653]~P6(x6531)+~P6(x6532)+E(x6531,f96(x6532,x6533))+P8(f108(f108(f43(x6532,x6533,x6531),f52(x6532,x6533,x6531)),f108(f43(x6532,x6533,x6531),f43(x6532,x6533,x6531))),x6531)+P8(f108(f108(f43(x6532,x6533,x6531),f52(x6532,x6533,x6531)),f108(f43(x6532,x6533,x6531),f43(x6532,x6533,x6531))),x6532)
% 4.14/4.18 [654]~P6(x6541)+~P6(x6543)+E(x6541,f103(x6542,x6543))+P8(f108(f108(f61(x6542,x6543,x6541),f76(x6542,x6543,x6541)),f108(f61(x6542,x6543,x6541),f61(x6542,x6543,x6541))),x6541)+P8(f108(f108(f61(x6542,x6543,x6541),f76(x6542,x6543,x6541)),f108(f61(x6542,x6543,x6541),f61(x6542,x6543,x6541))),x6543)
% 4.14/4.18 [443]~P8(x4433,x4431)+~P8(x4432,x4434)+P8(x4432,x4433)+E(x4431,a1)+~E(x4434,f105(x4431))
% 4.14/4.18 [543]~E(x5431,x5432)+~P6(x5433)+~P8(x5431,x5434)+~E(x5433,f86(x5434))+P8(f108(f108(x5431,x5432),f108(x5431,x5431)),x5433)
% 4.14/4.18 [602]~P6(x6022)+~P8(x6024,x6023)+~P8(x6024,f5(x6022))+P8(x6021,f98(x6022,x6023))+~P8(f108(f108(x6024,x6021),f108(x6024,x6024)),x6022)
% 4.14/4.18 [603]~P6(x6032)+~P8(x6034,x6033)+~P8(x6034,f95(x6032))+P8(x6031,f100(x6032,x6033))+~P8(f108(f108(x6031,x6034),f108(x6031,x6031)),x6032)
% 4.14/4.18 [606]~P6(x6063)+~P6(x6064)+~E(x6063,f97(x6064))+~P8(f108(f108(x6062,x6061),f108(x6062,x6062)),x6064)+P8(f108(f108(x6061,x6062),f108(x6061,x6061)),x6063)
% 4.14/4.18 [607]~P6(x6073)+~P6(x6074)+~E(x6074,f97(x6073))+~P8(f108(f108(x6072,x6071),f108(x6072,x6072)),x6074)+P8(f108(f108(x6071,x6072),f108(x6071,x6071)),x6073)
% 4.14/4.18 [640]~P6(x6402)+~P8(x6404,x6403)+~P8(f90(x6402,x6403,x6401),x6401)+E(x6401,f98(x6402,x6403))+~P8(f108(f108(x6404,f90(x6402,x6403,x6401)),f108(x6404,x6404)),x6402)
% 4.14/4.18 [652]~P6(x6522)+~P8(x6524,x6523)+~P8(f11(x6522,x6523,x6521),x6521)+E(x6521,f100(x6522,x6523))+~P8(f108(f108(f11(x6522,x6523,x6521),x6524),f108(f11(x6522,x6523,x6521),f11(x6522,x6523,x6521))),x6522)
% 4.14/4.18 [586]~P6(x5864)+~P6(x5863)+P8(x5861,x5862)+~E(x5863,f96(x5864,x5862))+~P8(f108(f108(x5861,x5865),f108(x5861,x5861)),x5863)
% 4.14/4.18 [587]~P6(x5874)+~P6(x5873)+P8(x5871,x5872)+~E(x5873,f103(x5872,x5874))+~P8(f108(f108(x5875,x5871),f108(x5875,x5875)),x5873)
% 4.14/4.18 [597]~P6(x5973)+P8(x5971,x5972)+~P8(x5975,x5974)+~E(x5972,f98(x5973,x5974))+~P8(f108(f108(x5975,x5971),f108(x5975,x5975)),x5973)
% 4.14/4.18 [598]~P6(x5983)+P8(x5981,x5982)+~P8(x5985,x5984)+~E(x5982,f100(x5983,x5984))+~P8(f108(f108(x5981,x5985),f108(x5981,x5981)),x5983)
% 4.14/4.18 [611]~P6(x6114)+~P6(x6113)+~E(x6114,f96(x6113,x6115))+~P8(f108(f108(x6111,x6112),f108(x6111,x6111)),x6114)+P8(f108(f108(x6111,x6112),f108(x6111,x6111)),x6113)
% 4.14/4.18 [612]~P6(x6124)+~P6(x6123)+~E(x6124,f103(x6125,x6123))+~P8(f108(f108(x6121,x6122),f108(x6121,x6121)),x6124)+P8(f108(f108(x6121,x6122),f108(x6121,x6121)),x6123)
% 4.14/4.18 [617]~P8(x6175,x6173)+~P8(x6174,x6172)+~P8(f27(x6172,x6173,x6171),x6171)+E(x6171,f3(x6172,x6173))+~E(f27(x6172,x6173,x6171),f108(f108(x6174,x6175),f108(x6174,x6174)))
% 4.14/4.18 [545]~P8(x5456,x5454)+~P8(x5455,x5453)+P8(x5451,x5452)+~E(x5452,f3(x5453,x5454))+~E(x5451,f108(f108(x5455,x5456),f108(x5455,x5455)))
% 4.14/4.18 [525]~P5(x5252)+~P5(x5251)+~P6(x5252)+~P6(x5251)+~P8(x5253,f5(x5251))+E(f2(f94(x5251,x5252),x5253),f2(x5252,f2(x5251,x5253)))
% 4.14/4.18 [538]~P5(x5382)+~P6(x5383)+~P6(x5382)+~P5(x5383)+P8(x5381,f5(x5382))+~P8(x5381,f5(f94(x5382,x5383)))
% 4.14/4.18 [544]~P5(x5443)+~P5(x5441)+~P6(x5443)+~P6(x5441)+P8(f2(x5441,x5442),f5(x5443))+~P8(x5442,f5(f94(x5441,x5443)))
% 4.14/4.18 [561]~P5(x5611)+~P5(x5612)+~P6(x5611)+~P6(x5612)+E(f2(f94(x5611,x5612),x5613),f2(x5612,f2(x5611,x5613)))+~P8(x5613,f5(f94(x5611,x5612)))
% 4.14/4.18 [506]~P5(x5062)+~P5(x5061)+~P6(x5062)+~P6(x5061)+~E(x5061,f96(x5062,x5063))+E(f5(x5061),f102(f5(x5062),f102(f5(x5062),x5063)))
% 4.14/4.18 [655]~P6(x6551)+~P6(x6553)+~P6(x6552)+E(x6551,f94(x6552,x6553))+P8(f108(f108(f54(x6552,x6553,x6551),f55(x6552,x6553,x6551)),f108(f54(x6552,x6553,x6551),f54(x6552,x6553,x6551))),x6551)+P8(f108(f108(f54(x6552,x6553,x6551),f56(x6552,x6553,x6551)),f108(f54(x6552,x6553,x6551),f54(x6552,x6553,x6551))),x6552)
% 4.14/4.18 [656]~P6(x6561)+~P6(x6563)+~P6(x6562)+E(x6561,f94(x6562,x6563))+P8(f108(f108(f54(x6562,x6563,x6561),f55(x6562,x6563,x6561)),f108(f54(x6562,x6563,x6561),f54(x6562,x6563,x6561))),x6561)+P8(f108(f108(f56(x6562,x6563,x6561),f55(x6562,x6563,x6561)),f108(f56(x6562,x6563,x6561),f56(x6562,x6563,x6561))),x6563)
% 4.14/4.18 [658]~P6(x6581)+~P6(x6582)+~P8(f43(x6582,x6583,x6581),x6583)+E(x6581,f96(x6582,x6583))+~P8(f108(f108(f43(x6582,x6583,x6581),f52(x6582,x6583,x6581)),f108(f43(x6582,x6583,x6581),f43(x6582,x6583,x6581))),x6581)+~P8(f108(f108(f43(x6582,x6583,x6581),f52(x6582,x6583,x6581)),f108(f43(x6582,x6583,x6581),f43(x6582,x6583,x6581))),x6582)
% 4.14/4.18 [659]~P6(x6591)+~P6(x6593)+~P8(f76(x6592,x6593,x6591),x6592)+E(x6591,f103(x6592,x6593))+~P8(f108(f108(f61(x6592,x6593,x6591),f76(x6592,x6593,x6591)),f108(f61(x6592,x6593,x6591),f61(x6592,x6593,x6591))),x6591)+~P8(f108(f108(f61(x6592,x6593,x6591),f76(x6592,x6593,x6591)),f108(f61(x6592,x6593,x6591),f61(x6592,x6593,x6591))),x6593)
% 4.14/4.18 [560]~P8(x5602,x5604)+~P2(x5602,f92(x5601))+P8(f106(x5601,x5602),x5603)+~E(x5604,f4(x5601,x5603))+~P2(x5603,f92(f92(x5601)))+~P2(x5604,f92(f92(x5601)))
% 4.14/4.18 [562]P8(x5621,x5622)+~P2(x5621,f92(x5623))+~P8(f106(x5623,x5621),x5624)+~E(x5622,f4(x5623,x5624))+~P2(x5622,f92(f92(x5623)))+~P2(x5624,f92(f92(x5623)))
% 4.14/4.18 [613]~P6(x6133)+~P6(x6135)+~P8(x6132,x6134)+~E(x6133,f103(x6134,x6135))+~P8(f108(f108(x6131,x6132),f108(x6131,x6131)),x6135)+P8(f108(f108(x6131,x6132),f108(x6131,x6131)),x6133)
% 4.14/4.18 [614]~P6(x6143)+~P6(x6144)+~P8(x6141,x6145)+~E(x6143,f96(x6144,x6145))+~P8(f108(f108(x6141,x6142),f108(x6141,x6141)),x6144)+P8(f108(f108(x6141,x6142),f108(x6141,x6141)),x6143)
% 4.14/4.18 [662]~P6(x6624)+~P6(x6623)+~P6(x6622)+~E(x6624,f94(x6622,x6623))+~P8(f108(f108(x6621,x6625),f108(x6621,x6621)),x6624)+P8(f108(f108(x6621,f53(x6622,x6623,x6624,x6621,x6625)),f108(x6621,x6621)),x6622)
% 4.14/4.18 [663]~P6(x6633)+~P6(x6632)+~P6(x6631)+~E(x6633,f94(x6631,x6632))+~P8(f108(f108(x6634,x6635),f108(x6634,x6634)),x6633)+P8(f108(f108(f53(x6631,x6632,x6633,x6634,x6635),x6635),f108(f53(x6631,x6632,x6633,x6634,x6635),f53(x6631,x6632,x6633,x6634,x6635))),x6632)
% 4.14/4.18 [398]~P5(x3981)+~P5(x3982)+~P6(x3981)+~P6(x3982)+~P7(x3981)+~E(x3982,f88(x3981))+E(f95(x3981),f5(x3982))
% 4.14/4.18 [518]~P5(x5183)+~P6(x5183)+~P7(x5183)+E(x5181,x5182)+~P8(x5182,f5(x5183))+~P8(x5181,f5(x5183))+~E(f2(x5183,x5181),f2(x5183,x5182))
% 4.14/4.18 [552]~P5(x5523)+~P5(x5522)+~P6(x5523)+~P6(x5522)+~P8(x5521,f5(x5522))+~P8(f2(x5522,x5521),f5(x5523))+P8(x5521,f5(f94(x5522,x5523)))
% 4.14/4.18 [585]~P5(x5852)+~P5(x5851)+~P6(x5852)+~P6(x5851)+P8(f84(x5853,x5851,x5852),f5(x5851))+E(x5851,f96(x5852,x5853))+~E(f5(x5851),f102(f5(x5852),f102(f5(x5852),x5853)))
% 4.14/4.18 [621]~P5(x6212)+~P5(x6211)+~P6(x6212)+~P6(x6211)+E(x6211,f96(x6212,x6213))+~E(f2(x6211,f84(x6213,x6211,x6212)),f2(x6212,f84(x6213,x6211,x6212)))+~E(f5(x6211),f102(f5(x6212),f102(f5(x6212),x6213)))
% 4.14/4.18 [504]~P5(x5043)+~P5(x5041)+~P6(x5043)+~P6(x5041)+~P8(x5042,f5(x5041))+E(f2(x5041,x5042),f2(x5043,x5042))+~E(x5041,f96(x5043,x5044))
% 4.14/4.18 [660]~P6(x6601)+~P6(x6603)+~P6(x6602)+E(x6601,f94(x6602,x6603))+~P8(f108(f108(x6604,f55(x6602,x6603,x6601)),f108(x6604,x6604)),x6603)+~P8(f108(f108(f54(x6602,x6603,x6601),x6604),f108(f54(x6602,x6603,x6601),f54(x6602,x6603,x6601))),x6602)+~P8(f108(f108(f54(x6602,x6603,x6601),f55(x6602,x6603,x6601)),f108(f54(x6602,x6603,x6601),f54(x6602,x6603,x6601))),x6601)
% 4.14/4.18 [634]~P6(x6343)+~P6(x6345)+~P6(x6344)+~E(x6343,f94(x6344,x6345))+~P8(f108(f108(x6341,x6346),f108(x6341,x6341)),x6344)+P8(f108(f108(x6341,x6342),f108(x6341,x6341)),x6343)+~P8(f108(f108(x6346,x6342),f108(x6346,x6346)),x6345)
% 4.14/4.18 [530]~P5(x5301)+~P5(x5302)+~P6(x5301)+~P6(x5302)+~P7(x5302)+P8(f78(x5302,x5301),f95(x5302))+P8(f79(x5302,x5301),f5(x5302))+~E(f95(x5302),f5(x5301))+E(x5301,f88(x5302))
% 4.14/4.18 [535]~P5(x5351)+~P5(x5352)+~P6(x5351)+~P6(x5352)+~P7(x5352)+P8(f79(x5352,x5351),f5(x5352))+~E(f95(x5352),f5(x5351))+E(x5351,f88(x5352))+E(f2(x5351,f78(x5352,x5351)),f80(x5352,x5351))
% 4.14/4.18 [536]~P5(x5361)+~P5(x5362)+~P6(x5361)+~P6(x5362)+~P7(x5362)+P8(f78(x5362,x5361),f95(x5362))+~E(f95(x5362),f5(x5361))+E(x5361,f88(x5362))+E(f2(x5362,f79(x5362,x5361)),f81(x5362,x5361))
% 4.14/4.18 [537]~P5(x5371)+~P5(x5372)+~P6(x5371)+~P6(x5372)+~P7(x5372)+~E(f95(x5372),f5(x5371))+E(x5371,f88(x5372))+E(f2(x5371,f78(x5372,x5371)),f80(x5372,x5371))+E(f2(x5372,f79(x5372,x5371)),f81(x5372,x5371))
% 4.14/4.18 [507]~P5(x5074)+~P5(x5072)+~P6(x5074)+~P6(x5072)+~P7(x5072)+~E(x5073,f2(x5074,x5071))+~P8(x5071,f95(x5072))+E(x5071,f2(x5072,x5073))+~E(x5074,f88(x5072))
% 4.14/4.18 [508]~P5(x5084)+~P5(x5082)+~P6(x5084)+~P6(x5082)+~P7(x5084)+~E(x5083,f2(x5084,x5081))+~P8(x5081,f5(x5084))+E(x5081,f2(x5082,x5083))+~E(x5082,f88(x5084))
% 4.14/4.18 [510]~P5(x5103)+~P5(x5102)+~P6(x5103)+~P6(x5102)+~P7(x5102)+~P8(x5104,f95(x5102))+P8(x5101,f5(x5102))+~E(x5101,f2(x5103,x5104))+~E(x5103,f88(x5102))
% 4.14/4.18 [511]~P5(x5113)+~P5(x5112)+~P6(x5113)+~P6(x5112)+~P7(x5112)+~P8(x5114,f5(x5112))+P8(x5111,f95(x5112))+~E(x5111,f2(x5112,x5114))+~E(x5113,f88(x5112))
% 4.14/4.18 [578]~P5(x5781)+~P5(x5782)+~P6(x5781)+~P6(x5782)+~P7(x5782)+P8(f78(x5782,x5781),f95(x5782))+~E(f95(x5782),f5(x5781))+~P8(f81(x5782,x5781),f95(x5782))+E(x5781,f88(x5782))+~E(f2(x5781,f81(x5782,x5781)),f79(x5782,x5781))
% 4.14/4.18 [579]~P5(x5791)+~P5(x5792)+~P6(x5791)+~P6(x5792)+~P7(x5792)+P8(f79(x5792,x5791),f5(x5792))+~E(f95(x5792),f5(x5791))+~P8(f80(x5792,x5791),f5(x5792))+E(x5791,f88(x5792))+~E(f2(x5792,f80(x5792,x5791)),f78(x5792,x5791))
% 4.14/4.18 [583]~P5(x5831)+~P5(x5832)+~P6(x5831)+~P6(x5832)+~P7(x5832)+~E(f95(x5832),f5(x5831))+~P8(f81(x5832,x5831),f95(x5832))+E(x5831,f88(x5832))+E(f2(x5831,f78(x5832,x5831)),f80(x5832,x5831))+~E(f2(x5831,f81(x5832,x5831)),f79(x5832,x5831))
% 4.14/4.18 [584]~P5(x5841)+~P5(x5842)+~P6(x5841)+~P6(x5842)+~P7(x5842)+~E(f95(x5842),f5(x5841))+~P8(f80(x5842,x5841),f5(x5842))+E(x5841,f88(x5842))+E(f2(x5842,f79(x5842,x5841)),f81(x5842,x5841))+~E(f2(x5842,f80(x5842,x5841)),f78(x5842,x5841))
% 4.14/4.18 [604]~P5(x6041)+~P5(x6042)+~P6(x6041)+~P6(x6042)+~P7(x6042)+~E(f95(x6042),f5(x6041))+~P8(f80(x6042,x6041),f5(x6042))+~P8(f81(x6042,x6041),f95(x6042))+E(x6041,f88(x6042))+~E(f2(x6042,f80(x6042,x6041)),f78(x6042,x6041))+~E(f2(x6041,f81(x6042,x6041)),f79(x6042,x6041))
% 4.14/4.18 %EqnAxiom
% 4.14/4.18 [1]E(x11,x11)
% 4.14/4.18 [2]E(x22,x21)+~E(x21,x22)
% 4.14/4.18 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.14/4.18 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 4.14/4.18 [5]~E(x51,x52)+E(f95(x51),f95(x52))
% 4.14/4.18 [6]~E(x61,x62)+E(f64(x61),f64(x62))
% 4.14/4.18 [7]~E(x71,x72)+E(f86(x71),f86(x72))
% 4.14/4.18 [8]~E(x81,x82)+E(f76(x81,x83,x84),f76(x82,x83,x84))
% 4.14/4.18 [9]~E(x91,x92)+E(f76(x93,x91,x94),f76(x93,x92,x94))
% 4.14/4.18 [10]~E(x101,x102)+E(f76(x103,x104,x101),f76(x103,x104,x102))
% 4.14/4.18 [11]~E(x111,x112)+E(f61(x111,x113,x114),f61(x112,x113,x114))
% 4.14/4.18 [12]~E(x121,x122)+E(f61(x123,x121,x124),f61(x123,x122,x124))
% 4.14/4.18 [13]~E(x131,x132)+E(f61(x133,x134,x131),f61(x133,x134,x132))
% 4.14/4.18 [14]~E(x141,x142)+E(f11(x141,x143,x144),f11(x142,x143,x144))
% 4.14/4.18 [15]~E(x151,x152)+E(f11(x153,x151,x154),f11(x153,x152,x154))
% 4.14/4.18 [16]~E(x161,x162)+E(f11(x163,x164,x161),f11(x163,x164,x162))
% 4.14/4.18 [17]~E(x171,x172)+E(f108(x171,x173),f108(x172,x173))
% 4.14/4.18 [18]~E(x181,x182)+E(f108(x183,x181),f108(x183,x182))
% 4.14/4.18 [19]~E(x191,x192)+E(f92(x191),f92(x192))
% 4.14/4.18 [20]~E(x201,x202)+E(f101(x201),f101(x202))
% 4.14/4.18 [21]~E(x211,x212)+E(f103(x211,x213),f103(x212,x213))
% 4.14/4.18 [22]~E(x221,x222)+E(f103(x223,x221),f103(x223,x222))
% 4.14/4.18 [23]~E(x231,x232)+E(f54(x231,x233,x234),f54(x232,x233,x234))
% 4.14/4.18 [24]~E(x241,x242)+E(f54(x243,x241,x244),f54(x243,x242,x244))
% 4.14/4.18 [25]~E(x251,x252)+E(f54(x253,x254,x251),f54(x253,x254,x252))
% 4.14/4.18 [26]~E(x261,x262)+E(f102(x261,x263),f102(x262,x263))
% 4.14/4.18 [27]~E(x271,x272)+E(f102(x273,x271),f102(x273,x272))
% 4.14/4.18 [28]~E(x281,x282)+E(f104(x281,x283),f104(x282,x283))
% 4.14/4.18 [29]~E(x291,x292)+E(f104(x293,x291),f104(x293,x292))
% 4.14/4.18 [30]~E(x301,x302)+E(f83(x301),f83(x302))
% 4.14/4.18 [31]~E(x311,x312)+E(f25(x311,x313),f25(x312,x313))
% 4.14/4.18 [32]~E(x321,x322)+E(f25(x323,x321),f25(x323,x322))
% 4.14/4.18 [33]~E(x331,x332)+E(f3(x331,x333),f3(x332,x333))
% 4.14/4.18 [34]~E(x341,x342)+E(f3(x343,x341),f3(x343,x342))
% 4.14/4.18 [35]~E(x351,x352)+E(f98(x351,x353),f98(x352,x353))
% 4.14/4.18 [36]~E(x361,x362)+E(f98(x363,x361),f98(x363,x362))
% 4.14/4.18 [37]~E(x371,x372)+E(f68(x371),f68(x372))
% 4.14/4.18 [38]~E(x381,x382)+E(f87(x381),f87(x382))
% 4.14/4.18 [39]~E(x391,x392)+E(f93(x391,x393),f93(x392,x393))
% 4.14/4.18 [40]~E(x401,x402)+E(f93(x403,x401),f93(x403,x402))
% 4.14/4.18 [41]~E(x411,x412)+E(f8(x411),f8(x412))
% 4.14/4.18 [42]~E(x421,x422)+E(f2(x421,x423),f2(x422,x423))
% 4.14/4.18 [43]~E(x431,x432)+E(f2(x433,x431),f2(x433,x432))
% 4.14/4.18 [44]~E(x441,x442)+E(f4(x441,x443),f4(x442,x443))
% 4.14/4.18 [45]~E(x451,x452)+E(f4(x453,x451),f4(x453,x452))
% 4.14/4.18 [46]~E(x461,x462)+E(f26(x461,x463),f26(x462,x463))
% 4.14/4.18 [47]~E(x471,x472)+E(f26(x473,x471),f26(x473,x472))
% 4.14/4.18 [48]~E(x481,x482)+E(f43(x481,x483,x484),f43(x482,x483,x484))
% 4.14/4.18 [49]~E(x491,x492)+E(f43(x493,x491,x494),f43(x493,x492,x494))
% 4.14/4.18 [50]~E(x501,x502)+E(f43(x503,x504,x501),f43(x503,x504,x502))
% 4.14/4.18 [51]~E(x511,x512)+E(f88(x511),f88(x512))
% 4.14/4.18 [52]~E(x521,x522)+E(f74(x521,x523,x524),f74(x522,x523,x524))
% 4.14/4.18 [53]~E(x531,x532)+E(f74(x533,x531,x534),f74(x533,x532,x534))
% 4.14/4.18 [54]~E(x541,x542)+E(f74(x543,x544,x541),f74(x543,x544,x542))
% 4.14/4.18 [55]~E(x551,x552)+E(f82(x551),f82(x552))
% 4.14/4.18 [56]~E(x561,x562)+E(f24(x561,x563,x564),f24(x562,x563,x564))
% 4.14/4.18 [57]~E(x571,x572)+E(f24(x573,x571,x574),f24(x573,x572,x574))
% 4.14/4.18 [58]~E(x581,x582)+E(f24(x583,x584,x581),f24(x583,x584,x582))
% 4.14/4.18 [59]~E(x591,x592)+E(f75(x591,x593,x594),f75(x592,x593,x594))
% 4.14/4.18 [60]~E(x601,x602)+E(f75(x603,x601,x604),f75(x603,x602,x604))
% 4.14/4.18 [61]~E(x611,x612)+E(f75(x613,x614,x611),f75(x613,x614,x612))
% 4.14/4.18 [62]~E(x621,x622)+E(f17(x621,x623),f17(x622,x623))
% 4.14/4.18 [63]~E(x631,x632)+E(f17(x633,x631),f17(x633,x632))
% 4.14/4.18 [64]~E(x641,x642)+E(f19(x641,x643),f19(x642,x643))
% 4.14/4.18 [65]~E(x651,x652)+E(f19(x653,x651),f19(x653,x652))
% 4.14/4.18 [66]~E(x661,x662)+E(f97(x661),f97(x662))
% 4.14/4.18 [67]~E(x671,x672)+E(f27(x671,x673,x674),f27(x672,x673,x674))
% 4.14/4.18 [68]~E(x681,x682)+E(f27(x683,x681,x684),f27(x683,x682,x684))
% 4.14/4.18 [69]~E(x691,x692)+E(f27(x693,x694,x691),f27(x693,x694,x692))
% 4.14/4.18 [70]~E(x701,x702)+E(f44(x701,x703,x704),f44(x702,x703,x704))
% 4.14/4.18 [71]~E(x711,x712)+E(f44(x713,x711,x714),f44(x713,x712,x714))
% 4.14/4.18 [72]~E(x721,x722)+E(f44(x723,x724,x721),f44(x723,x724,x722))
% 4.14/4.18 [73]~E(x731,x732)+E(f100(x731,x733),f100(x732,x733))
% 4.14/4.18 [74]~E(x741,x742)+E(f100(x743,x741),f100(x743,x742))
% 4.14/4.18 [75]~E(x751,x752)+E(f94(x751,x753),f94(x752,x753))
% 4.14/4.18 [76]~E(x761,x762)+E(f94(x763,x761),f94(x763,x762))
% 4.14/4.18 [77]~E(x771,x772)+E(f31(x771,x773,x774),f31(x772,x773,x774))
% 4.14/4.18 [78]~E(x781,x782)+E(f31(x783,x781,x784),f31(x783,x782,x784))
% 4.14/4.18 [79]~E(x791,x792)+E(f31(x793,x794,x791),f31(x793,x794,x792))
% 4.14/4.18 [80]~E(x801,x802)+E(f107(x801,x803,x804),f107(x802,x803,x804))
% 4.14/4.18 [81]~E(x811,x812)+E(f107(x813,x811,x814),f107(x813,x812,x814))
% 4.14/4.18 [82]~E(x821,x822)+E(f107(x823,x824,x821),f107(x823,x824,x822))
% 4.14/4.18 [83]~E(x831,x832)+E(f96(x831,x833),f96(x832,x833))
% 4.14/4.18 [84]~E(x841,x842)+E(f96(x843,x841),f96(x843,x842))
% 4.14/4.18 [85]~E(x851,x852)+E(f52(x851,x853,x854),f52(x852,x853,x854))
% 4.14/4.18 [86]~E(x861,x862)+E(f52(x863,x861,x864),f52(x863,x862,x864))
% 4.14/4.18 [87]~E(x871,x872)+E(f52(x873,x874,x871),f52(x873,x874,x872))
% 4.14/4.18 [88]~E(x881,x882)+E(f49(x881,x883),f49(x882,x883))
% 4.14/4.18 [89]~E(x891,x892)+E(f49(x893,x891),f49(x893,x892))
% 4.14/4.18 [90]~E(x901,x902)+E(f32(x901,x903,x904),f32(x902,x903,x904))
% 4.14/4.18 [91]~E(x911,x912)+E(f32(x913,x911,x914),f32(x913,x912,x914))
% 4.14/4.18 [92]~E(x921,x922)+E(f32(x923,x924,x921),f32(x923,x924,x922))
% 4.14/4.18 [93]~E(x931,x932)+E(f51(x931,x933,x934),f51(x932,x933,x934))
% 4.14/4.18 [94]~E(x941,x942)+E(f51(x943,x941,x944),f51(x943,x942,x944))
% 4.14/4.18 [95]~E(x951,x952)+E(f51(x953,x954,x951),f51(x953,x954,x952))
% 4.14/4.18 [96]~E(x961,x962)+E(f23(x961,x963),f23(x962,x963))
% 4.14/4.18 [97]~E(x971,x972)+E(f23(x973,x971),f23(x973,x972))
% 4.14/4.18 [98]~E(x981,x982)+E(f106(x981,x983),f106(x982,x983))
% 4.14/4.18 [99]~E(x991,x992)+E(f106(x993,x991),f106(x993,x992))
% 4.14/4.18 [100]~E(x1001,x1002)+E(f79(x1001,x1003),f79(x1002,x1003))
% 4.14/4.18 [101]~E(x1011,x1012)+E(f79(x1013,x1011),f79(x1013,x1012))
% 4.14/4.18 [102]~E(x1021,x1022)+E(f109(x1021,x1023),f109(x1022,x1023))
% 4.14/4.18 [103]~E(x1031,x1032)+E(f109(x1033,x1031),f109(x1033,x1032))
% 4.14/4.18 [104]~E(x1041,x1042)+E(f84(x1041,x1043,x1044),f84(x1042,x1043,x1044))
% 4.14/4.18 [105]~E(x1051,x1052)+E(f84(x1053,x1051,x1054),f84(x1053,x1052,x1054))
% 4.14/4.18 [106]~E(x1061,x1062)+E(f84(x1063,x1064,x1061),f84(x1063,x1064,x1062))
% 4.14/4.18 [107]~E(x1071,x1072)+E(f45(x1071,x1073),f45(x1072,x1073))
% 4.14/4.18 [108]~E(x1081,x1082)+E(f45(x1083,x1081),f45(x1083,x1082))
% 4.14/4.18 [109]~E(x1091,x1092)+E(f78(x1091,x1093),f78(x1092,x1093))
% 4.14/4.18 [110]~E(x1101,x1102)+E(f78(x1103,x1101),f78(x1103,x1102))
% 4.14/4.18 [111]~E(x1111,x1112)+E(f105(x1111),f105(x1112))
% 4.14/4.18 [112]~E(x1121,x1122)+E(f85(x1121,x1123,x1124,x1125),f85(x1122,x1123,x1124,x1125))
% 4.14/4.18 [113]~E(x1131,x1132)+E(f85(x1133,x1131,x1134,x1135),f85(x1133,x1132,x1134,x1135))
% 4.14/4.18 [114]~E(x1141,x1142)+E(f85(x1143,x1144,x1141,x1145),f85(x1143,x1144,x1142,x1145))
% 4.14/4.18 [115]~E(x1151,x1152)+E(f85(x1153,x1154,x1155,x1151),f85(x1153,x1154,x1155,x1152))
% 4.14/4.18 [116]~E(x1161,x1162)+E(f29(x1161,x1163,x1164,x1165),f29(x1162,x1163,x1164,x1165))
% 4.14/4.18 [117]~E(x1171,x1172)+E(f29(x1173,x1171,x1174,x1175),f29(x1173,x1172,x1174,x1175))
% 4.14/4.18 [118]~E(x1181,x1182)+E(f29(x1183,x1184,x1181,x1185),f29(x1183,x1184,x1182,x1185))
% 4.14/4.18 [119]~E(x1191,x1192)+E(f29(x1193,x1194,x1195,x1191),f29(x1193,x1194,x1195,x1192))
% 4.14/4.18 [120]~E(x1201,x1202)+E(f72(x1201,x1203),f72(x1202,x1203))
% 4.14/4.18 [121]~E(x1211,x1212)+E(f72(x1213,x1211),f72(x1213,x1212))
% 4.14/4.18 [122]~E(x1221,x1222)+E(f36(x1221,x1223),f36(x1222,x1223))
% 4.14/4.18 [123]~E(x1231,x1232)+E(f36(x1233,x1231),f36(x1233,x1232))
% 4.14/4.18 [124]~E(x1241,x1242)+E(f15(x1241,x1243),f15(x1242,x1243))
% 4.14/4.18 [125]~E(x1251,x1252)+E(f15(x1253,x1251),f15(x1253,x1252))
% 4.14/4.18 [126]~E(x1261,x1262)+E(f40(x1261,x1263),f40(x1262,x1263))
% 4.14/4.18 [127]~E(x1271,x1272)+E(f40(x1273,x1271),f40(x1273,x1272))
% 4.14/4.18 [128]~E(x1281,x1282)+E(f81(x1281,x1283),f81(x1282,x1283))
% 4.14/4.18 [129]~E(x1291,x1292)+E(f81(x1293,x1291),f81(x1293,x1292))
% 4.14/4.18 [130]~E(x1301,x1302)+E(f30(x1301,x1303,x1304,x1305),f30(x1302,x1303,x1304,x1305))
% 4.14/4.18 [131]~E(x1311,x1312)+E(f30(x1313,x1311,x1314,x1315),f30(x1313,x1312,x1314,x1315))
% 4.14/4.18 [132]~E(x1321,x1322)+E(f30(x1323,x1324,x1321,x1325),f30(x1323,x1324,x1322,x1325))
% 4.14/4.18 [133]~E(x1331,x1332)+E(f30(x1333,x1334,x1335,x1331),f30(x1333,x1334,x1335,x1332))
% 4.14/4.18 [134]~E(x1341,x1342)+E(f46(x1341,x1343,x1344),f46(x1342,x1343,x1344))
% 4.14/4.18 [135]~E(x1351,x1352)+E(f46(x1353,x1351,x1354),f46(x1353,x1352,x1354))
% 4.14/4.18 [136]~E(x1361,x1362)+E(f46(x1363,x1364,x1361),f46(x1363,x1364,x1362))
% 4.14/4.18 [137]~E(x1371,x1372)+E(f28(x1371,x1373,x1374),f28(x1372,x1373,x1374))
% 4.14/4.18 [138]~E(x1381,x1382)+E(f28(x1383,x1381,x1384),f28(x1383,x1382,x1384))
% 4.14/4.18 [139]~E(x1391,x1392)+E(f28(x1393,x1394,x1391),f28(x1393,x1394,x1392))
% 4.14/4.18 [140]~E(x1401,x1402)+E(f55(x1401,x1403,x1404),f55(x1402,x1403,x1404))
% 4.14/4.18 [141]~E(x1411,x1412)+E(f55(x1413,x1411,x1414),f55(x1413,x1412,x1414))
% 4.14/4.18 [142]~E(x1421,x1422)+E(f55(x1423,x1424,x1421),f55(x1423,x1424,x1422))
% 4.14/4.18 [143]~E(x1431,x1432)+E(f42(x1431,x1433),f42(x1432,x1433))
% 4.14/4.18 [144]~E(x1441,x1442)+E(f42(x1443,x1441),f42(x1443,x1442))
% 4.14/4.18 [145]~E(x1451,x1452)+E(f47(x1451,x1453),f47(x1452,x1453))
% 4.14/4.18 [146]~E(x1461,x1462)+E(f47(x1463,x1461),f47(x1463,x1462))
% 4.14/4.18 [147]~E(x1471,x1472)+E(f99(x1471),f99(x1472))
% 4.14/4.18 [148]~E(x1481,x1482)+E(f56(x1481,x1483,x1484),f56(x1482,x1483,x1484))
% 4.14/4.18 [149]~E(x1491,x1492)+E(f56(x1493,x1491,x1494),f56(x1493,x1492,x1494))
% 4.14/4.18 [150]~E(x1501,x1502)+E(f56(x1503,x1504,x1501),f56(x1503,x1504,x1502))
% 4.14/4.18 [151]~E(x1511,x1512)+E(f71(x1511,x1513),f71(x1512,x1513))
% 4.14/4.18 [152]~E(x1521,x1522)+E(f71(x1523,x1521),f71(x1523,x1522))
% 4.14/4.18 [153]~E(x1531,x1532)+E(f34(x1531,x1533),f34(x1532,x1533))
% 4.14/4.18 [154]~E(x1541,x1542)+E(f34(x1543,x1541),f34(x1543,x1542))
% 4.14/4.18 [155]~E(x1551,x1552)+E(f48(x1551,x1553),f48(x1552,x1553))
% 4.14/4.18 [156]~E(x1561,x1562)+E(f48(x1563,x1561),f48(x1563,x1562))
% 4.14/4.18 [157]~E(x1571,x1572)+E(f14(x1571,x1573),f14(x1572,x1573))
% 4.14/4.18 [158]~E(x1581,x1582)+E(f14(x1583,x1581),f14(x1583,x1582))
% 4.14/4.18 [159]~E(x1591,x1592)+E(f91(x1591,x1593,x1594),f91(x1592,x1593,x1594))
% 4.14/4.18 [160]~E(x1601,x1602)+E(f91(x1603,x1601,x1604),f91(x1603,x1602,x1604))
% 4.14/4.18 [161]~E(x1611,x1612)+E(f91(x1613,x1614,x1611),f91(x1613,x1614,x1612))
% 4.14/4.18 [162]~E(x1621,x1622)+E(f57(x1621,x1623),f57(x1622,x1623))
% 4.14/4.18 [163]~E(x1631,x1632)+E(f57(x1633,x1631),f57(x1633,x1632))
% 4.14/4.18 [164]~E(x1641,x1642)+E(f53(x1641,x1643,x1644,x1645,x1646),f53(x1642,x1643,x1644,x1645,x1646))
% 4.14/4.18 [165]~E(x1651,x1652)+E(f53(x1653,x1651,x1654,x1655,x1656),f53(x1653,x1652,x1654,x1655,x1656))
% 4.14/4.18 [166]~E(x1661,x1662)+E(f53(x1663,x1664,x1661,x1665,x1666),f53(x1663,x1664,x1662,x1665,x1666))
% 4.14/4.18 [167]~E(x1671,x1672)+E(f53(x1673,x1674,x1675,x1671,x1676),f53(x1673,x1674,x1675,x1672,x1676))
% 4.14/4.18 [168]~E(x1681,x1682)+E(f53(x1683,x1684,x1685,x1686,x1681),f53(x1683,x1684,x1685,x1686,x1682))
% 4.14/4.18 [169]~E(x1691,x1692)+E(f59(x1691),f59(x1692))
% 4.14/4.18 [170]~E(x1701,x1702)+E(f22(x1701,x1703),f22(x1702,x1703))
% 4.14/4.18 [171]~E(x1711,x1712)+E(f22(x1713,x1711),f22(x1713,x1712))
% 4.14/4.18 [172]~E(x1721,x1722)+E(f80(x1721,x1723),f80(x1722,x1723))
% 4.14/4.18 [173]~E(x1731,x1732)+E(f80(x1733,x1731),f80(x1733,x1732))
% 4.14/4.18 [174]~E(x1741,x1742)+E(f38(x1741,x1743,x1744),f38(x1742,x1743,x1744))
% 4.14/4.18 [175]~E(x1751,x1752)+E(f38(x1753,x1751,x1754),f38(x1753,x1752,x1754))
% 4.14/4.18 [176]~E(x1761,x1762)+E(f38(x1763,x1764,x1761),f38(x1763,x1764,x1762))
% 4.14/4.18 [177]~E(x1771,x1772)+E(f41(x1771,x1773),f41(x1772,x1773))
% 4.14/4.18 [178]~E(x1781,x1782)+E(f41(x1783,x1781),f41(x1783,x1782))
% 4.14/4.18 [179]~E(x1791,x1792)+E(f73(x1791,x1793),f73(x1792,x1793))
% 4.14/4.18 [180]~E(x1801,x1802)+E(f73(x1803,x1801),f73(x1803,x1802))
% 4.14/4.18 [181]~E(x1811,x1812)+E(f33(x1811,x1813),f33(x1812,x1813))
% 4.14/4.18 [182]~E(x1821,x1822)+E(f33(x1823,x1821),f33(x1823,x1822))
% 4.14/4.18 [183]~E(x1831,x1832)+E(f9(x1831),f9(x1832))
% 4.14/4.18 [184]~E(x1841,x1842)+E(f20(x1841,x1843),f20(x1842,x1843))
% 4.14/4.18 [185]~E(x1851,x1852)+E(f20(x1853,x1851),f20(x1853,x1852))
% 4.14/4.18 [186]~E(x1861,x1862)+E(f16(x1861,x1863),f16(x1862,x1863))
% 4.14/4.18 [187]~E(x1871,x1872)+E(f16(x1873,x1871),f16(x1873,x1872))
% 4.14/4.18 [188]~E(x1881,x1882)+E(f10(x1881),f10(x1882))
% 4.14/4.18 [189]~E(x1891,x1892)+E(f37(x1891,x1893,x1894),f37(x1892,x1893,x1894))
% 4.14/4.18 [190]~E(x1901,x1902)+E(f37(x1903,x1901,x1904),f37(x1903,x1902,x1904))
% 4.14/4.18 [191]~E(x1911,x1912)+E(f37(x1913,x1914,x1911),f37(x1913,x1914,x1912))
% 4.14/4.18 [192]~E(x1921,x1922)+E(f89(x1921,x1923),f89(x1922,x1923))
% 4.14/4.18 [193]~E(x1931,x1932)+E(f89(x1933,x1931),f89(x1933,x1932))
% 4.14/4.18 [194]~E(x1941,x1942)+E(f90(x1941,x1943,x1944),f90(x1942,x1943,x1944))
% 4.14/4.18 [195]~E(x1951,x1952)+E(f90(x1953,x1951,x1954),f90(x1953,x1952,x1954))
% 4.14/4.18 [196]~E(x1961,x1962)+E(f90(x1963,x1964,x1961),f90(x1963,x1964,x1962))
% 4.14/4.18 [197]~E(x1971,x1972)+E(f50(x1971),f50(x1972))
% 4.14/4.18 [198]~E(x1981,x1982)+E(f12(x1981,x1983,x1984,x1985),f12(x1982,x1983,x1984,x1985))
% 4.14/4.18 [199]~E(x1991,x1992)+E(f12(x1993,x1991,x1994,x1995),f12(x1993,x1992,x1994,x1995))
% 4.14/4.18 [200]~E(x2001,x2002)+E(f12(x2003,x2004,x2001,x2005),f12(x2003,x2004,x2002,x2005))
% 4.14/4.18 [201]~E(x2011,x2012)+E(f12(x2013,x2014,x2015,x2011),f12(x2013,x2014,x2015,x2012))
% 4.14/4.19 [202]~E(x2021,x2022)+E(f35(x2021,x2023),f35(x2022,x2023))
% 4.14/4.19 [203]~E(x2031,x2032)+E(f35(x2033,x2031),f35(x2033,x2032))
% 4.14/4.19 [204]~E(x2041,x2042)+E(f77(x2041,x2043),f77(x2042,x2043))
% 4.14/4.19 [205]~E(x2051,x2052)+E(f77(x2053,x2051),f77(x2053,x2052))
% 4.14/4.19 [206]~E(x2061,x2062)+E(f13(x2061,x2063,x2064),f13(x2062,x2063,x2064))
% 4.14/4.19 [207]~E(x2071,x2072)+E(f13(x2073,x2071,x2074),f13(x2073,x2072,x2074))
% 4.14/4.19 [208]~E(x2081,x2082)+E(f13(x2083,x2084,x2081),f13(x2083,x2084,x2082))
% 4.14/4.19 [209]~E(x2091,x2092)+E(f18(x2091,x2093,x2094),f18(x2092,x2093,x2094))
% 4.14/4.19 [210]~E(x2101,x2102)+E(f18(x2103,x2101,x2104),f18(x2103,x2102,x2104))
% 4.14/4.19 [211]~E(x2111,x2112)+E(f18(x2113,x2114,x2111),f18(x2113,x2114,x2112))
% 4.14/4.19 [212]~E(x2121,x2122)+E(f21(x2121),f21(x2122))
% 4.14/4.19 [213]~E(x2131,x2132)+E(f39(x2131,x2133,x2134),f39(x2132,x2133,x2134))
% 4.14/4.19 [214]~E(x2141,x2142)+E(f39(x2143,x2141,x2144),f39(x2143,x2142,x2144))
% 4.14/4.19 [215]~E(x2151,x2152)+E(f39(x2153,x2154,x2151),f39(x2153,x2154,x2152))
% 4.14/4.19 [216]~P1(x2161)+P1(x2162)+~E(x2161,x2162)
% 4.14/4.19 [217]P8(x2172,x2173)+~E(x2171,x2172)+~P8(x2171,x2173)
% 4.14/4.19 [218]P8(x2183,x2182)+~E(x2181,x2182)+~P8(x2183,x2181)
% 4.14/4.19 [219]~P6(x2191)+P6(x2192)+~E(x2191,x2192)
% 4.14/4.19 [220]~P5(x2201)+P5(x2202)+~E(x2201,x2202)
% 4.14/4.19 [221]P11(x2212,x2213)+~E(x2211,x2212)+~P11(x2211,x2213)
% 4.14/4.19 [222]P11(x2223,x2222)+~E(x2221,x2222)+~P11(x2223,x2221)
% 4.14/4.19 [223]~P7(x2231)+P7(x2232)+~E(x2231,x2232)
% 4.14/4.19 [224]P2(x2242,x2243)+~E(x2241,x2242)+~P2(x2241,x2243)
% 4.14/4.19 [225]P2(x2253,x2252)+~E(x2251,x2252)+~P2(x2253,x2251)
% 4.14/4.19 [226]P3(x2262,x2263)+~E(x2261,x2262)+~P3(x2261,x2263)
% 4.14/4.19 [227]P3(x2273,x2272)+~E(x2271,x2272)+~P3(x2273,x2271)
% 4.14/4.19 [228]P9(x2282,x2283)+~E(x2281,x2282)+~P9(x2281,x2283)
% 4.14/4.19 [229]P9(x2293,x2292)+~E(x2291,x2292)+~P9(x2293,x2291)
% 4.14/4.19 [230]~P10(x2301)+P10(x2302)+~E(x2301,x2302)
% 4.14/4.19 [231]P4(x2312,x2313)+~E(x2311,x2312)+~P4(x2311,x2313)
% 4.14/4.19 [232]P4(x2323,x2322)+~E(x2321,x2322)+~P4(x2323,x2321)
% 4.14/4.19
% 4.14/4.19 %-------------------------------------------
% 4.14/4.20 cnf(664,plain,
% 4.14/4.20 (E(a1,f5(a1))),
% 4.14/4.20 inference(scs_inference,[],[233,2])).
% 4.14/4.20 cnf(667,plain,
% 4.14/4.20 (~P8(x6671,a1)),
% 4.14/4.20 inference(scs_inference,[],[237,233,284,2,379,332])).
% 4.14/4.20 cnf(671,plain,
% 4.14/4.20 (~P8(x6711,f5(a1))),
% 4.14/4.20 inference(scs_inference,[],[237,233,284,2,379,332,326,324])).
% 4.14/4.20 cnf(673,plain,
% 4.14/4.20 (~P11(f108(x6731,x6731),a1)),
% 4.14/4.20 inference(scs_inference,[],[237,233,284,290,2,379,332,326,324,319])).
% 4.14/4.20 cnf(676,plain,
% 4.14/4.20 (P11(x6761,x6761)),
% 4.14/4.20 inference(rename_variables,[],[269])).
% 4.14/4.20 cnf(679,plain,
% 4.14/4.20 (P11(x6791,x6791)),
% 4.14/4.20 inference(rename_variables,[],[269])).
% 4.14/4.20 cnf(682,plain,
% 4.14/4.20 (P2(f8(x6821),x6821)),
% 4.14/4.20 inference(rename_variables,[],[274])).
% 4.14/4.20 cnf(684,plain,
% 4.14/4.20 (P6(f5(a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,237,233,284,274,290,2,379,332,326,324,319,456,455,388,323])).
% 4.14/4.20 cnf(686,plain,
% 4.14/4.20 (P8(f9(f108(x6861,x6861)),f108(x6861,x6861))),
% 4.14/4.20 inference(scs_inference,[],[269,676,237,233,284,274,290,2,379,332,326,324,319,456,455,388,323,320])).
% 4.14/4.20 cnf(688,plain,
% 4.14/4.20 (~E(f96(a66,a70),a66)),
% 4.14/4.20 inference(scs_inference,[],[269,676,237,233,284,294,274,290,2,379,332,326,324,319,456,455,388,323,320,42])).
% 4.14/4.20 cnf(696,plain,
% 4.14/4.20 (P2(x6961,f92(x6961))),
% 4.14/4.20 inference(rename_variables,[],[273])).
% 4.14/4.20 cnf(699,plain,
% 4.14/4.20 (P2(x6991,f92(x6991))),
% 4.14/4.20 inference(rename_variables,[],[273])).
% 4.14/4.20 cnf(702,plain,
% 4.14/4.20 (P2(x7021,f92(x7021))),
% 4.14/4.20 inference(rename_variables,[],[273])).
% 4.14/4.20 cnf(705,plain,
% 4.14/4.20 (P2(x7051,f92(x7051))),
% 4.14/4.20 inference(rename_variables,[],[273])).
% 4.14/4.20 cnf(708,plain,
% 4.14/4.20 (P3(x7081,f5(a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,237,255,233,284,294,273,696,699,702,274,267,290,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227])).
% 4.14/4.20 cnf(711,plain,
% 4.14/4.20 (P2(f8(x7111),x7111)),
% 4.14/4.20 inference(rename_variables,[],[274])).
% 4.14/4.20 cnf(713,plain,
% 4.14/4.20 (P2(x7131,f92(x7131))),
% 4.14/4.20 inference(rename_variables,[],[273])).
% 4.14/4.20 cnf(715,plain,
% 4.14/4.20 (P11(x7151,f104(x7151,x7152))),
% 4.14/4.20 inference(rename_variables,[],[279])).
% 4.14/4.20 cnf(716,plain,
% 4.14/4.20 (~E(a1,f108(x7161,x7161))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,237,255,233,284,294,273,696,699,702,705,274,682,279,267,290,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221])).
% 4.14/4.20 cnf(717,plain,
% 4.14/4.20 (P11(x7171,x7171)),
% 4.14/4.20 inference(rename_variables,[],[269])).
% 4.14/4.20 cnf(719,plain,
% 4.14/4.20 (P8(x7191,f68(x7191))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(721,plain,
% 4.14/4.20 (P8(x7211,f68(x7211))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(723,plain,
% 4.14/4.20 (E(f104(x7231,x7231),x7231)),
% 4.14/4.20 inference(rename_variables,[],[270])).
% 4.14/4.20 cnf(724,plain,
% 4.14/4.20 (~E(f108(x7241,x7241),f5(a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,237,255,287,233,284,294,270,271,719,273,696,699,702,705,274,682,279,267,290,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3])).
% 4.14/4.20 cnf(725,plain,
% 4.14/4.20 (P3(f102(a1,x7251),x7252)),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,237,255,287,233,284,294,270,271,719,273,696,699,702,705,274,682,279,280,267,290,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413])).
% 4.14/4.20 cnf(729,plain,
% 4.14/4.20 (P11(a1,x7291)),
% 4.14/4.20 inference(rename_variables,[],[265])).
% 4.14/4.20 cnf(734,plain,
% 4.14/4.20 (P11(a1,x7341)),
% 4.14/4.20 inference(rename_variables,[],[265])).
% 4.14/4.20 cnf(736,plain,
% 4.14/4.20 (~P2(a63,a1)),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,265,729,237,255,287,233,284,294,270,271,719,273,696,699,702,705,274,682,711,279,280,267,290,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339])).
% 4.14/4.20 cnf(738,plain,
% 4.14/4.20 (~P1(f104(f108(x7381,x7381),x7382))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,265,729,237,255,287,233,284,294,270,271,719,273,696,699,702,705,274,682,711,279,280,267,290,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303])).
% 4.14/4.20 cnf(741,plain,
% 4.14/4.20 (E(f104(x7411,x7411),x7411)),
% 4.14/4.20 inference(rename_variables,[],[270])).
% 4.14/4.20 cnf(744,plain,
% 4.14/4.20 (P2(f64(x7441),f92(x7441))),
% 4.14/4.20 inference(rename_variables,[],[275])).
% 4.14/4.20 cnf(747,plain,
% 4.14/4.20 (P2(f64(x7471),f92(x7471))),
% 4.14/4.20 inference(rename_variables,[],[275])).
% 4.14/4.20 cnf(750,plain,
% 4.14/4.20 (E(f104(x7501,a1),x7501)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(752,plain,
% 4.14/4.20 (~P8(x7521,f64(a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,265,729,237,255,287,233,284,294,270,723,271,719,273,696,699,702,705,274,682,711,279,280,266,267,290,275,744,747,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421])).
% 4.14/4.20 cnf(753,plain,
% 4.14/4.20 (P2(f64(x7531),f92(x7531))),
% 4.14/4.20 inference(rename_variables,[],[275])).
% 4.14/4.20 cnf(756,plain,
% 4.14/4.20 (E(f104(x7561,x7561),x7561)),
% 4.14/4.20 inference(rename_variables,[],[270])).
% 4.14/4.20 cnf(759,plain,
% 4.14/4.20 (E(f104(x7591,a1),x7591)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(762,plain,
% 4.14/4.20 (E(f104(x7621,a1),x7621)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(764,plain,
% 4.14/4.20 (~P8(f108(x7641,x7641),f104(f92(a1),f92(a1)))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,265,729,237,255,287,233,284,294,270,723,741,756,271,719,273,696,699,702,705,274,682,711,279,280,266,750,759,267,290,275,744,747,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383])).
% 4.14/4.20 cnf(765,plain,
% 4.14/4.20 (E(f104(x7651,x7651),x7651)),
% 4.14/4.20 inference(rename_variables,[],[270])).
% 4.14/4.20 cnf(768,plain,
% 4.14/4.20 (E(f104(x7681,x7681),x7681)),
% 4.14/4.20 inference(rename_variables,[],[270])).
% 4.14/4.20 cnf(771,plain,
% 4.14/4.20 (E(f104(x7711,x7711),x7711)),
% 4.14/4.20 inference(rename_variables,[],[270])).
% 4.14/4.20 cnf(774,plain,
% 4.14/4.20 (E(f104(x7741,x7741),x7741)),
% 4.14/4.20 inference(rename_variables,[],[270])).
% 4.14/4.20 cnf(780,plain,
% 4.14/4.20 (~P8(f2(f96(a66,a70),a69),f104(f108(f2(a66,a69),f2(a66,a69)),a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,253,237,255,287,233,284,294,270,723,741,756,765,768,771,271,719,273,696,699,702,705,274,682,711,279,280,266,750,759,762,267,290,275,744,747,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393])).
% 4.14/4.20 cnf(787,plain,
% 4.14/4.20 (P8(a69,f5(a66))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,253,237,255,287,233,284,294,270,723,741,756,765,768,771,271,719,273,696,699,702,705,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526])).
% 4.14/4.20 cnf(791,plain,
% 4.14/4.20 (~P8(x7911,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,253,237,255,287,233,284,294,270,723,741,756,765,768,771,774,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533])).
% 4.14/4.20 cnf(792,plain,
% 4.14/4.20 (E(f104(x7921,x7921),x7921)),
% 4.14/4.20 inference(rename_variables,[],[270])).
% 4.14/4.20 cnf(796,plain,
% 4.14/4.20 (P7(a60)),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,253,237,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325])).
% 4.14/4.20 cnf(799,plain,
% 4.14/4.20 (E(f104(x7991,x7991),x7991)),
% 4.14/4.20 inference(rename_variables,[],[270])).
% 4.14/4.20 cnf(804,plain,
% 4.14/4.20 (~P8(f5(f96(a66,a70)),f104(f105(f108(a69,a69)),f105(f108(a69,a69))))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,253,237,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443])).
% 4.14/4.20 cnf(805,plain,
% 4.14/4.20 (~E(f108(x8051,x8051),a1)),
% 4.14/4.20 inference(rename_variables,[],[290])).
% 4.14/4.20 cnf(810,plain,
% 4.14/4.20 (P3(x8101,f102(a1,x8102))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348])).
% 4.14/4.20 cnf(818,plain,
% 4.14/4.20 (P5(a1)),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298])).
% 4.14/4.20 cnf(822,plain,
% 4.14/4.20 (P11(f5(a1),f108(x8221,x8221))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364])).
% 4.14/4.20 cnf(824,plain,
% 4.14/4.20 (P11(f95(f103(x8241,a66)),x8241)),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462])).
% 4.14/4.20 cnf(834,plain,
% 4.14/4.20 (P2(a1,f92(x8341))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367])).
% 4.14/4.20 cnf(838,plain,
% 4.14/4.20 (P6(f103(x8381,a66))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350])).
% 4.14/4.20 cnf(840,plain,
% 4.14/4.20 (P6(f96(a66,x8401))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349])).
% 4.14/4.20 cnf(991,plain,
% 4.14/4.20 (E(f96(x9911,f5(a1)),f96(x9911,a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84])).
% 4.14/4.20 cnf(1054,plain,
% 4.14/4.20 (E(f101(f5(a1)),f101(a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20])).
% 4.14/4.20 cnf(1067,plain,
% 4.14/4.20 (E(f86(f5(a1)),f86(a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 4.14/4.20 cnf(1070,plain,
% 4.14/4.20 (E(f5(f5(a1)),f5(a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 4.14/4.20 cnf(1073,plain,
% 4.14/4.20 (~E(f108(f108(x10731,f2(f96(a66,a70),a69)),f108(x10731,x10731)),f108(f108(x10732,f2(a66,a69)),f108(x10732,x10732)))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553])).
% 4.14/4.20 cnf(1083,plain,
% 4.14/4.20 (~P3(f108(a69,a69),f5(f96(a66,a70)))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473])).
% 4.14/4.20 cnf(1121,plain,
% 4.14/4.20 (~P8(x11211,f102(a1,f102(a1,x11212)))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539])).
% 4.14/4.20 cnf(1127,plain,
% 4.14/4.20 (~E(f102(f5(f96(a66,a70)),f108(a69,a69)),f5(f96(a66,a70)))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475])).
% 4.14/4.20 cnf(1129,plain,
% 4.14/4.20 (~E(f102(f108(a69,a69),f102(f108(a69,a69),f5(f96(a66,a70)))),a1)),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454])).
% 4.14/4.20 cnf(1137,plain,
% 4.14/4.20 (E(f102(f108(f2(a66,a69),f2(a66,a69)),f102(f108(f2(a66,a69),f2(a66,a69)),f5(a1))),a1)),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422])).
% 4.14/4.20 cnf(1141,plain,
% 4.14/4.20 (P8(f92(x11411),f68(x11411))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,260,275,744,747,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407])).
% 4.14/4.20 cnf(1159,plain,
% 4.14/4.20 (~P11(f108(f2(f96(a66,a70),a69),f2(f96(a66,a70),a69)),f108(f2(a66,a69),f2(a66,a69)))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494])).
% 4.14/4.20 cnf(1163,plain,
% 4.14/4.20 (P2(f106(f5(f96(a66,a70)),f5(f96(a66,a70))),f92(f5(f96(a66,a70))))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,265,729,734,253,237,238,239,240,242,249,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494,481,461])).
% 4.14/4.20 cnf(1175,plain,
% 4.14/4.20 (P5(f5(a1))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,291,265,729,734,253,237,238,239,240,242,249,254,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,272,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,805,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494,481,461,460,446,415,554,229,223,220])).
% 4.14/4.20 cnf(1176,plain,
% 4.14/4.20 (~P8(a69,f102(a1,x11761))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,291,265,729,734,253,237,238,239,240,242,249,254,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,272,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,805,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494,481,461,460,446,415,554,229,223,220,435])).
% 4.14/4.20 cnf(1178,plain,
% 4.14/4.20 (~P11(f104(f108(a69,a69),x11781),a1)),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,291,265,729,734,253,237,238,239,240,242,249,254,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,272,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,805,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494,481,461,460,446,415,554,229,223,220,435,412])).
% 4.14/4.20 cnf(1184,plain,
% 4.14/4.20 (E(f5(a1),f105(f5(a1)))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,291,265,729,734,253,237,238,239,240,242,249,254,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,272,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,805,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494,481,461,460,446,415,554,229,223,220,435,412,411,330,297])).
% 4.14/4.20 cnf(1198,plain,
% 4.14/4.20 (P6(f94(a1,a66))),
% 4.14/4.20 inference(scs_inference,[],[269,676,679,717,291,265,729,734,253,237,238,239,240,242,246,249,254,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,272,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,805,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494,481,461,460,446,415,554,229,223,220,435,412,411,330,297,523,470,469,406,378,377,376])).
% 4.14/4.20 cnf(1204,plain,
% 4.14/4.20 (P5(f96(a66,x12041))),
% 4.14/4.20 inference(scs_inference,[],[244,269,676,679,717,291,265,729,734,253,237,238,239,240,242,246,249,254,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,272,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,805,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494,481,461,460,446,415,554,229,223,220,435,412,411,330,297,523,470,469,406,378,377,376,375,372,371])).
% 4.14/4.20 cnf(1218,plain,
% 4.14/4.20 (~P8(f108(f108(x12181,f5(f96(a66,a70))),f108(x12181,x12181)),f103(a69,a66))),
% 4.14/4.20 inference(scs_inference,[],[244,269,676,679,717,291,265,729,734,253,237,238,239,240,242,246,249,250,254,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,272,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,805,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494,481,461,460,446,415,554,229,223,220,435,412,411,330,297,523,470,469,406,378,377,376,375,372,371,370,369,329,328,322,321,568])).
% 4.14/4.20 cnf(1246,plain,
% 4.14/4.20 (~P8(x12461,f3(f102(a1,f102(a1,f5(f96(a66,a70)))),f5(a1)))),
% 4.14/4.20 inference(scs_inference,[],[244,269,676,679,717,291,265,729,734,253,237,238,239,240,242,246,249,250,254,255,287,233,284,294,270,723,741,756,765,768,771,774,792,799,271,719,721,272,273,696,699,702,705,713,274,682,711,279,715,280,266,750,759,762,267,290,805,260,275,744,747,753,263,278,2,379,332,326,324,319,456,455,388,323,320,42,404,354,345,490,489,442,441,230,227,226,225,224,222,221,218,217,216,3,413,391,358,355,339,303,491,440,439,438,421,420,419,418,383,382,361,360,300,522,393,302,526,509,533,547,325,452,394,443,381,348,347,312,299,298,296,364,462,396,395,390,389,367,366,350,349,316,313,310,309,308,307,306,305,304,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,589,553,478,477,476,474,473,468,467,445,424,403,402,401,400,399,368,356,353,352,343,333,318,317,386,539,486,485,475,454,431,429,428,422,417,407,405,387,351,334,591,549,531,497,494,481,461,460,446,415,554,229,223,220,435,412,411,330,297,523,470,469,406,378,377,376,375,372,371,370,369,329,328,322,321,568,524,515,488,483,482,527,501,484,434,392,600,559,622])).
% 4.14/4.20 cnf(1330,plain,
% 4.14/4.20 (~P8(x13301,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1333,plain,
% 4.14/4.20 (~P8(x13331,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1336,plain,
% 4.14/4.20 (~P8(x13361,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1338,plain,
% 4.14/4.20 (~P8(x13381,f98(a1,x13382))),
% 4.14/4.20 inference(scs_inference,[],[251,271,290,246,791,1330,671,667,623,546,465,550])).
% 4.14/4.20 cnf(1339,plain,
% 4.14/4.20 (~P8(x13391,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1342,plain,
% 4.14/4.20 (~P8(x13421,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1345,plain,
% 4.14/4.20 (~P8(x13451,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1348,plain,
% 4.14/4.20 (~P8(x13481,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1349,plain,
% 4.14/4.20 (~P8(x13491,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1352,plain,
% 4.14/4.20 (~P8(x13521,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1355,plain,
% 4.14/4.20 (P6(f103(x13551,a66))),
% 4.14/4.20 inference(rename_variables,[],[838])).
% 4.14/4.20 cnf(1356,plain,
% 4.14/4.20 (~P8(f108(f108(x13561,f5(f96(a66,a70))),f108(x13561,x13561)),f103(a69,a66))),
% 4.14/4.20 inference(rename_variables,[],[1218])).
% 4.14/4.20 cnf(1359,plain,
% 4.14/4.20 (~P8(x13591,f102(a1,f102(a1,x13592)))),
% 4.14/4.20 inference(rename_variables,[],[1121])).
% 4.14/4.20 cnf(1360,plain,
% 4.14/4.20 (~P8(x13601,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1363,plain,
% 4.14/4.20 (~P8(x13631,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1364,plain,
% 4.14/4.20 (~P8(x13641,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1367,plain,
% 4.14/4.20 (~P8(x13671,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1368,plain,
% 4.14/4.20 (~P8(x13681,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1371,plain,
% 4.14/4.20 (~P8(x13711,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1372,plain,
% 4.14/4.20 (~P8(x13721,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1375,plain,
% 4.14/4.20 (~P8(x13751,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1376,plain,
% 4.14/4.20 (~P8(x13761,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1379,plain,
% 4.14/4.20 (P6(f86(x13791))),
% 4.14/4.20 inference(rename_variables,[],[260])).
% 4.14/4.20 cnf(1382,plain,
% 4.14/4.20 (P2(x13821,f92(x13821))),
% 4.14/4.20 inference(rename_variables,[],[273])).
% 4.14/4.20 cnf(1383,plain,
% 4.14/4.20 (P3(f102(a1,x13831),x13832)),
% 4.14/4.20 inference(rename_variables,[],[725])).
% 4.14/4.20 cnf(1385,plain,
% 4.14/4.20 (~E(f68(x13851),f100(a62,f104(f101(f64(a1)),f101(f64(a1)))))),
% 4.14/4.20 inference(scs_inference,[],[251,271,273,260,290,246,791,1330,1333,1349,1360,1364,1368,1372,1376,725,1218,1121,671,1339,1348,1363,1367,1371,838,1067,667,1336,1342,1345,716,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625])).
% 4.14/4.20 cnf(1386,plain,
% 4.14/4.20 (~P8(x13861,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1388,plain,
% 4.14/4.20 (~E(f68(x13881),f98(a62,f104(f101(f64(a1)),f101(f64(a1)))))),
% 4.14/4.20 inference(scs_inference,[],[251,271,273,260,290,246,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,725,1218,1121,671,1339,1348,1363,1367,1371,838,1067,667,1336,1342,1345,716,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624])).
% 4.14/4.20 cnf(1389,plain,
% 4.14/4.20 (~P8(x13891,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1391,plain,
% 4.14/4.20 (~E(f68(x13911),f5(a1))),
% 4.14/4.20 inference(scs_inference,[],[251,271,273,260,290,246,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,725,1218,1121,671,1339,1348,1363,1367,1371,838,1067,667,1336,1342,1345,1352,716,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628])).
% 4.14/4.20 cnf(1392,plain,
% 4.14/4.20 (~P8(x13921,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1394,plain,
% 4.14/4.20 (~E(f68(x13941),f100(a1,x13942))),
% 4.14/4.20 inference(scs_inference,[],[251,271,273,260,290,246,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,725,1218,1121,671,1339,1348,1363,1367,1371,838,1067,667,1336,1342,1345,1352,1392,716,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651])).
% 4.14/4.20 cnf(1395,plain,
% 4.14/4.20 (~P8(x13951,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1397,plain,
% 4.14/4.20 (~E(f68(x13971),f95(a1))),
% 4.14/4.20 inference(scs_inference,[],[251,271,273,260,290,246,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,725,1218,1121,671,1339,1348,1363,1367,1371,838,1067,667,1336,1342,1345,1352,1392,1395,716,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643])).
% 4.14/4.20 cnf(1398,plain,
% 4.14/4.20 (~P8(x13981,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1400,plain,
% 4.14/4.20 (~E(f68(x14001),f98(a1,x14002))),
% 4.14/4.20 inference(scs_inference,[],[251,271,273,260,290,246,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,725,1218,1121,671,1339,1348,1363,1367,1371,838,1067,667,1336,1342,1345,1352,1392,1395,1398,716,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661])).
% 4.14/4.20 cnf(1401,plain,
% 4.14/4.20 (~P8(x14011,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1404,plain,
% 4.14/4.20 (~P8(x14041,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1405,plain,
% 4.14/4.20 (~P8(x14051,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1408,plain,
% 4.14/4.20 (~P8(x14081,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1409,plain,
% 4.14/4.20 (~P8(x14091,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1412,plain,
% 4.14/4.20 (~P8(x14121,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1413,plain,
% 4.14/4.20 (E(f108(x14131,x14132),f108(x14132,x14131))),
% 4.14/4.20 inference(rename_variables,[],[276])).
% 4.14/4.20 cnf(1416,plain,
% 4.14/4.20 (~P8(x14161,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1421,plain,
% 4.14/4.20 (~P8(x14211,f102(a1,x14212))),
% 4.14/4.20 inference(scs_inference,[],[276,251,271,273,260,290,246,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,725,810,1218,1121,671,1339,1348,1363,1367,1371,1375,1404,1408,838,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,684,716,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473])).
% 4.14/4.20 cnf(1427,plain,
% 4.14/4.20 (~P8(x14271,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1431,plain,
% 4.14/4.20 (~E(f68(x14311),f102(x14312,f68(x14311)))),
% 4.14/4.20 inference(scs_inference,[],[257,276,251,271,273,274,260,290,246,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,725,810,1218,1121,1359,671,1339,1348,1363,1367,1371,1375,1404,1408,838,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,684,716,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438])).
% 4.14/4.20 cnf(1434,plain,
% 4.14/4.20 (P8(x14341,f68(x14341))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(1440,plain,
% 4.14/4.20 (~P8(x14401,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1442,plain,
% 4.14/4.20 (~P8(x14421,f95(f103(f104(f101(f64(a1)),f101(f64(a1))),f86(x14422))))),
% 4.14/4.20 inference(scs_inference,[],[257,264,276,251,268,271,273,274,260,1379,290,246,686,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,725,810,1218,1121,1359,671,1339,1348,1363,1367,1371,1375,1404,1408,838,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,684,716,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523])).
% 4.14/4.20 cnf(1455,plain,
% 4.14/4.20 (P11(x14551,x14551)),
% 4.14/4.20 inference(rename_variables,[],[269])).
% 4.14/4.20 cnf(1460,plain,
% 4.14/4.20 (P11(f102(x14601,x14602),x14601)),
% 4.14/4.20 inference(rename_variables,[],[280])).
% 4.14/4.20 cnf(1465,plain,
% 4.14/4.20 (~P8(x14651,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1470,plain,
% 4.14/4.20 (P8(x14701,f68(x14701))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(1473,plain,
% 4.14/4.20 (P6(f86(x14731))),
% 4.14/4.20 inference(rename_variables,[],[260])).
% 4.14/4.20 cnf(1474,plain,
% 4.14/4.20 (P5(f86(x14741))),
% 4.14/4.20 inference(rename_variables,[],[258])).
% 4.14/4.20 cnf(1482,plain,
% 4.14/4.20 (~P8(x14821,f5(f94(a1,a66)))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,257,264,276,251,252,269,1455,265,254,268,271,1434,273,1382,274,280,260,1379,247,258,290,246,294,253,686,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1163,764,725,810,1218,1121,1359,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,838,787,1054,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,1401,684,716,1129,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538])).
% 4.14/4.20 cnf(1494,plain,
% 4.14/4.20 (~P2(f68(x14941),f92(f64(x14942)))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,257,264,276,251,252,269,1455,265,254,268,271,1434,1470,273,1382,274,280,260,1379,247,258,290,246,294,253,686,1159,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1163,764,725,810,1083,1218,1121,1359,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,838,787,1054,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,1401,684,716,1129,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421])).
% 4.14/4.20 cnf(1505,plain,
% 4.14/4.20 (P8(x15051,f68(x15051))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(1508,plain,
% 4.14/4.20 (P8(x15081,f68(x15081))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(1514,plain,
% 4.14/4.20 (~P3(f68(x15141),f68(x15141))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,257,264,276,251,252,269,1455,265,254,268,271,1434,1470,1505,1508,273,1382,274,280,260,1379,247,258,290,246,294,253,686,1159,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1163,764,725,1383,810,1083,1218,1121,1359,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,838,787,1054,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,1401,684,716,1129,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435])).
% 4.14/4.20 cnf(1516,plain,
% 4.14/4.20 (~P8(f68(x15161),x15161)),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,257,264,276,251,252,269,1455,265,254,268,271,1434,1470,1505,1508,273,1382,274,280,260,1379,247,258,290,246,294,253,686,1159,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1163,764,725,1383,810,1083,1218,1121,1359,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,838,787,1054,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,1401,684,716,1129,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379])).
% 4.14/4.20 cnf(1520,plain,
% 4.14/4.20 (~E(f68(x15201),a1)),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,257,264,276,251,252,269,1455,265,254,268,271,1434,1470,1505,1508,273,1382,274,280,260,1379,247,258,290,246,294,253,686,1159,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1163,764,725,1383,810,1083,1218,1121,1359,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,838,787,1054,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,1401,684,716,1129,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379,332,324])).
% 4.14/4.20 cnf(1527,plain,
% 4.14/4.20 (~P8(x15271,f64(a1))),
% 4.14/4.20 inference(rename_variables,[],[752])).
% 4.14/4.20 cnf(1540,plain,
% 4.14/4.20 (~P2(f102(a63,f102(a63,a63)),a1)),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,257,264,276,281,251,252,269,1455,265,254,268,271,1434,1470,1505,1508,273,1382,274,280,260,1379,247,258,290,246,294,253,686,1159,1073,824,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1246,1163,764,725,1383,810,1083,1218,1121,1359,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,752,1527,838,787,1054,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,1401,684,716,1129,736,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379,332,324,319,456,320,42,17,403,343,417,225,224])).
% 4.14/4.20 cnf(1543,plain,
% 4.14/4.20 (E(f5(f86(x15431)),x15431)),
% 4.14/4.20 inference(rename_variables,[],[261])).
% 4.14/4.20 cnf(1548,plain,
% 4.14/4.20 (E(f5(f86(x15481)),x15481)),
% 4.14/4.20 inference(rename_variables,[],[261])).
% 4.14/4.20 cnf(1553,plain,
% 4.14/4.20 (P11(f102(x15531,x15532),x15531)),
% 4.14/4.20 inference(rename_variables,[],[280])).
% 4.14/4.20 cnf(1558,plain,
% 4.14/4.20 (P8(x15581,f68(x15581))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(1559,plain,
% 4.14/4.20 (~P8(x15591,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1562,plain,
% 4.14/4.20 (P8(x15621,f68(x15621))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(1567,plain,
% 4.14/4.20 (~P8(x15671,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1570,plain,
% 4.14/4.20 (E(f5(f86(x15701)),x15701)),
% 4.14/4.20 inference(rename_variables,[],[261])).
% 4.14/4.20 cnf(1573,plain,
% 4.14/4.20 (P11(f102(x15731,x15732),x15731)),
% 4.14/4.20 inference(rename_variables,[],[280])).
% 4.14/4.20 cnf(1592,plain,
% 4.14/4.20 (~P8(x15921,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1600,plain,
% 4.14/4.20 (~E(f102(a1,x16001),f101(f68(f5(f96(a66,a70)))))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,288,257,264,276,1413,277,281,261,1543,1548,251,252,269,1455,265,254,268,271,1434,1470,1505,1508,1558,1562,273,1382,274,279,280,1460,1553,1573,260,1379,247,258,272,290,246,294,237,284,253,686,1141,738,1159,1073,824,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1559,1567,1246,1163,764,725,1383,810,1083,1218,1356,780,1121,1359,1127,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,752,1527,838,787,1054,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,1401,684,716,834,1178,1129,1176,664,736,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379,332,324,319,456,320,42,17,403,343,417,225,224,221,218,217,216,3,358,355,440,420,419,382,360,300,449,406,369,321,524,483,482,501,484,622,548,519,325,436])).
% 4.14/4.20 cnf(1601,plain,
% 4.14/4.20 (P8(x16011,f68(x16011))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(1617,plain,
% 4.14/4.20 (~E(f102(f108(a69,a69),f5(f96(a66,a70))),f108(a69,a69))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,288,257,264,276,1413,277,281,261,1543,1548,251,252,269,1455,265,254,268,271,1434,1470,1505,1508,1558,1562,273,1382,274,279,280,1460,1553,1573,260,1379,247,258,272,290,246,294,237,284,253,686,1141,738,1159,1073,824,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1559,1567,1246,1163,764,725,1383,810,1083,1218,1356,780,1121,1359,1127,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,752,1527,838,787,1054,1067,1184,667,1336,1342,1345,1352,1392,1395,1398,1401,684,716,834,1178,1129,1176,664,736,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379,332,324,319,456,320,42,17,403,343,417,225,224,221,218,217,216,3,358,355,440,420,419,382,360,300,449,406,369,321,524,483,482,501,484,622,548,519,325,436,338,341,331,408,525,381,296,354])).
% 4.14/4.20 cnf(1622,plain,
% 4.14/4.20 (~P8(x16221,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1625,plain,
% 4.14/4.20 (P8(x16251,f87(x16251))),
% 4.14/4.20 inference(rename_variables,[],[272])).
% 4.14/4.20 cnf(1637,plain,
% 4.14/4.20 (P6(f86(x16371))),
% 4.14/4.20 inference(rename_variables,[],[260])).
% 4.14/4.20 cnf(1641,plain,
% 4.14/4.20 (~E(f108(x16411,x16411),f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[724])).
% 4.14/4.20 cnf(1654,plain,
% 4.14/4.20 (~E(f108(x16541,x16541),a1)),
% 4.14/4.20 inference(rename_variables,[],[290])).
% 4.14/4.20 cnf(1658,plain,
% 4.14/4.20 (~P8(x16581,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1659,plain,
% 4.14/4.20 (~P8(x16591,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1662,plain,
% 4.14/4.20 (~P8(x16621,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1665,plain,
% 4.14/4.20 (~P8(x16651,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1668,plain,
% 4.14/4.20 (~P8(x16681,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1671,plain,
% 4.14/4.20 (~P8(x16711,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1674,plain,
% 4.14/4.20 (~P8(x16741,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1676,plain,
% 4.14/4.20 (~E(f108(x16761,x16761),f2(f86(f104(f92(a1),f92(a1))),f108(x16762,x16762)))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,288,257,264,276,1413,277,281,261,1543,1548,1570,251,252,269,1455,291,265,254,268,270,271,1434,1470,1505,1508,1558,1562,1601,273,1382,274,279,280,1460,1553,1573,260,1379,1473,1637,247,258,1474,272,1625,290,1654,246,294,237,284,253,686,1141,738,1159,1073,824,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1559,1567,1592,1622,1246,1163,764,725,1383,810,1083,1218,1356,780,1121,1359,1127,804,724,1641,822,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,752,1527,838,787,1054,1067,1184,673,667,1336,1342,1345,1352,1392,1395,1398,1401,1465,1658,1662,1665,1668,1671,684,716,834,1178,1129,1176,664,736,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379,332,324,319,456,320,42,17,403,343,417,225,224,221,218,217,216,3,358,355,440,420,419,382,360,300,449,406,369,321,524,483,482,501,484,622,548,519,325,436,338,341,331,408,525,381,296,354,330,439,469,393,376,375,372,301,222,391,2,29,229,226,227,466,566,529,629,631,630,565,648,647,414])).
% 4.14/4.20 cnf(1681,plain,
% 4.14/4.20 (~P8(x16811,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1684,plain,
% 4.14/4.20 (~P8(x16841,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1685,plain,
% 4.14/4.20 (~P8(x16851,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1688,plain,
% 4.14/4.20 (~P8(x16881,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1689,plain,
% 4.14/4.20 (~P8(x16891,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1692,plain,
% 4.14/4.20 (~P8(x16921,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1694,plain,
% 4.14/4.20 (E(a1,f96(a1,x16941))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,288,257,264,276,1413,277,281,261,1543,1548,1570,251,252,269,1455,291,265,254,268,270,271,1434,1470,1505,1508,1558,1562,1601,273,1382,274,279,280,1460,1553,1573,260,1379,1473,1637,247,258,1474,272,1625,290,1654,246,294,237,284,253,233,686,1141,738,1159,1073,824,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1559,1567,1592,1622,1659,1685,1246,1163,764,725,1383,810,1083,1218,1356,780,1121,1359,1127,804,724,1641,822,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,752,1527,838,787,1054,1067,1184,673,667,1336,1342,1345,1352,1392,1395,1398,1401,1465,1658,1662,1665,1668,1671,1674,1681,1684,1688,1692,684,716,834,1178,1129,1176,664,736,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379,332,324,319,456,320,42,17,403,343,417,225,224,221,218,217,216,3,358,355,440,420,419,382,360,300,449,406,369,321,524,483,482,501,484,622,548,519,325,436,338,341,331,408,525,381,296,354,330,439,469,393,376,375,372,301,222,391,2,29,229,226,227,466,566,529,629,631,630,565,648,647,414,437,650,649,654,653])).
% 4.14/4.20 cnf(1711,plain,
% 4.14/4.20 (P8(x17111,f68(x17111))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(1716,plain,
% 4.14/4.20 (~P8(f108(f108(x17161,x17162),f108(x17161,x17161)),f94(a1,a66))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,288,257,264,276,1413,277,281,261,1543,1548,1570,251,252,269,1455,291,265,254,268,270,271,1434,1470,1505,1508,1558,1562,1601,273,1382,274,279,280,1460,1553,1573,260,1379,1473,1637,247,258,1474,272,1625,290,1654,246,294,237,284,253,233,686,1141,738,1159,1073,824,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1559,1567,1592,1622,1659,1685,1246,1163,764,725,1383,810,1083,1218,1356,780,1121,1359,1127,804,991,724,1641,822,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,752,1527,838,1355,840,1204,787,1054,1067,1184,673,667,1336,1342,1345,1352,1392,1395,1398,1401,1465,1658,1662,1665,1668,1671,1674,1681,1684,1688,1692,684,716,834,1178,1198,1129,1176,664,736,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379,332,324,319,456,320,42,17,403,343,417,225,224,221,218,217,216,3,358,355,440,420,419,382,360,300,449,406,369,321,524,483,482,501,484,622,548,519,325,436,338,341,331,408,525,381,296,354,330,439,469,393,376,375,372,301,222,391,2,29,229,226,227,466,566,529,629,631,630,565,648,647,414,437,650,649,654,653,506,380,347,401,412,491,302,567])).
% 4.14/4.20 cnf(1722,plain,
% 4.14/4.20 (P8(x17221,f68(x17221))),
% 4.14/4.20 inference(rename_variables,[],[271])).
% 4.14/4.20 cnf(1724,plain,
% 4.14/4.20 (~E(f5(a1),f102(f68(x17241),f102(f68(x17241),f68(x17241))))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,288,257,264,276,1413,277,281,261,1543,1548,1570,251,252,269,1455,291,265,254,268,270,271,1434,1470,1505,1508,1558,1562,1601,1711,1722,273,1382,274,279,280,1460,1553,1573,260,1379,1473,1637,247,258,1474,272,1625,290,1654,246,294,237,284,253,233,686,1141,738,1159,1073,824,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1559,1567,1592,1622,1659,1685,1689,1246,1163,764,725,1383,810,1083,1218,1356,780,1121,1359,1127,804,991,724,1641,822,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,752,1527,838,1355,840,1204,787,1054,1067,1184,673,667,1336,1342,1345,1352,1392,1395,1398,1401,1465,1658,1662,1665,1668,1671,1674,1681,1684,1688,1692,684,716,834,1178,1198,1129,1176,664,736,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379,332,324,319,456,320,42,17,403,343,417,225,224,221,218,217,216,3,358,355,440,420,419,382,360,300,449,406,369,321,524,483,482,501,484,622,548,519,325,436,338,341,331,408,525,381,296,354,330,439,469,393,376,375,372,301,222,391,2,29,229,226,227,466,566,529,629,631,630,565,648,647,414,437,650,649,654,653,506,380,347,401,412,491,302,567,547,452,512])).
% 4.14/4.20 cnf(1725,plain,
% 4.14/4.20 (~P8(x17251,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1729,plain,
% 4.14/4.20 (~P11(f68(f108(x17291,x17291)),f64(x17292))),
% 4.14/4.20 inference(scs_inference,[],[244,241,243,256,288,257,264,276,1413,277,281,261,1543,1548,1570,251,252,269,1455,291,265,254,268,270,271,1434,1470,1505,1508,1558,1562,1601,1711,1722,273,1382,274,279,280,1460,1553,1573,260,1379,1473,1637,247,258,1474,272,1625,290,1654,246,294,237,284,253,233,686,1141,738,1159,1073,824,791,1330,1333,1349,1360,1364,1368,1372,1376,1386,1389,1405,1409,1412,1427,1440,1559,1567,1592,1622,1659,1685,1689,1246,1163,764,725,1383,810,1083,1218,1356,780,1121,1359,1127,804,991,724,1641,822,671,1339,1348,1363,1367,1371,1375,1404,1408,1416,1725,752,1527,838,1355,840,1204,787,1054,1067,1184,673,667,1336,1342,1345,1352,1392,1395,1398,1401,1465,1658,1662,1665,1668,1671,1674,1681,1684,1688,1692,684,716,834,1178,1198,1129,1176,664,736,818,623,546,465,550,633,615,472,444,644,577,576,575,593,592,563,513,625,624,628,651,643,661,582,581,545,544,219,455,473,402,411,339,438,418,383,361,523,522,470,378,371,370,515,526,464,434,533,336,520,327,528,340,571,538,312,388,424,404,345,421,297,377,322,488,451,394,413,348,435,379,332,324,319,456,320,42,17,403,343,417,225,224,221,218,217,216,3,358,355,440,420,419,382,360,300,449,406,369,321,524,483,482,501,484,622,548,519,325,436,338,341,331,408,525,381,296,354,330,439,469,393,376,375,372,301,222,391,2,29,229,226,227,466,566,529,629,631,630,565,648,647,414,437,650,649,654,653,506,380,347,401,412,491,302,567,547,452,512,397,367])).
% 4.14/4.20 cnf(1775,plain,
% 4.14/4.20 (~P8(x17751,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1778,plain,
% 4.14/4.20 (E(f104(x17781,a1),x17781)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1779,plain,
% 4.14/4.20 (~P8(f68(x17791),x17791)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1782,plain,
% 4.14/4.20 (P6(f86(x17821))),
% 4.14/4.20 inference(rename_variables,[],[260])).
% 4.14/4.20 cnf(1783,plain,
% 4.14/4.20 (~P8(f68(x17831),x17831)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1786,plain,
% 4.14/4.20 (~P8(f108(f108(x17861,x17862),f108(x17861,x17861)),f94(a1,a66))),
% 4.14/4.20 inference(rename_variables,[],[1716])).
% 4.14/4.20 cnf(1787,plain,
% 4.14/4.20 (P8(x17871,f87(x17871))),
% 4.14/4.20 inference(rename_variables,[],[272])).
% 4.14/4.20 cnf(1790,plain,
% 4.14/4.20 (~P8(x17901,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1792,plain,
% 4.14/4.20 (~P8(f68(x17921),x17921)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1797,plain,
% 4.14/4.20 (~P8(x17971,f5(f94(a1,a66)))),
% 4.14/4.20 inference(rename_variables,[],[1482])).
% 4.14/4.20 cnf(1798,plain,
% 4.14/4.20 (E(f104(x17981,a1),x17981)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1801,plain,
% 4.14/4.20 (~P8(x18011,f5(f94(a1,a66)))),
% 4.14/4.20 inference(rename_variables,[],[1482])).
% 4.14/4.20 cnf(1803,plain,
% 4.14/4.20 (~P8(x18031,f98(f94(a1,a66),x18032))),
% 4.14/4.20 inference(scs_inference,[],[253,282,266,1778,260,272,290,1516,1779,1783,1729,1716,1482,1797,1801,1724,671,667,1198,1067,834,601,572,574,543,500,459,623,546,550])).
% 4.14/4.20 cnf(1804,plain,
% 4.14/4.20 (~P8(x18041,f5(f94(a1,a66)))),
% 4.14/4.20 inference(rename_variables,[],[1482])).
% 4.14/4.20 cnf(1807,plain,
% 4.14/4.20 (~P8(f108(f108(x18071,x18072),f108(x18071,x18071)),f94(a1,a66))),
% 4.14/4.20 inference(rename_variables,[],[1716])).
% 4.14/4.20 cnf(1810,plain,
% 4.14/4.20 (~P8(x18101,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1813,plain,
% 4.14/4.20 (~P8(x18131,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1816,plain,
% 4.14/4.20 (~P8(x18161,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1819,plain,
% 4.14/4.20 (~P8(x18191,a1)),
% 4.14/4.20 inference(rename_variables,[],[667])).
% 4.14/4.20 cnf(1825,plain,
% 4.14/4.20 (~P8(f68(x18251),x18251)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1826,plain,
% 4.14/4.20 (E(f104(x18261,a1),x18261)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1829,plain,
% 4.14/4.20 (~P8(f68(x18291),x18291)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1832,plain,
% 4.14/4.20 (~P8(f68(x18321),x18321)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1837,plain,
% 4.14/4.20 (P11(x18371,f104(x18371,x18372))),
% 4.14/4.20 inference(rename_variables,[],[279])).
% 4.14/4.20 cnf(1857,plain,
% 4.14/4.20 (~P8(x18571,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1868,plain,
% 4.14/4.20 (~P8(x18681,f104(f101(f64(a1)),f101(f64(a1))))),
% 4.14/4.20 inference(rename_variables,[],[791])).
% 4.14/4.20 cnf(1874,plain,
% 4.14/4.20 (~P8(f108(f108(x18741,x18742),f108(x18741,x18741)),f94(a1,a66))),
% 4.14/4.20 inference(rename_variables,[],[1716])).
% 4.14/4.20 cnf(1877,plain,
% 4.14/4.20 (~P8(f68(x18771),x18771)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1880,plain,
% 4.14/4.20 (~P8(x18801,f5(a1))),
% 4.14/4.20 inference(rename_variables,[],[671])).
% 4.14/4.20 cnf(1883,plain,
% 4.14/4.20 (~P8(f68(x18831),x18831)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1888,plain,
% 4.14/4.20 (P8(x18881,f87(x18881))),
% 4.14/4.20 inference(rename_variables,[],[272])).
% 4.14/4.20 cnf(1891,plain,
% 4.14/4.20 (~P8(x18911,f5(f94(a1,a66)))),
% 4.14/4.20 inference(rename_variables,[],[1482])).
% 4.14/4.20 cnf(1900,plain,
% 4.14/4.20 (~P8(f68(x19001),x19001)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1912,plain,
% 4.14/4.20 (E(f104(x19121,a1),x19121)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1917,plain,
% 4.14/4.20 (~P8(f68(x19171),x19171)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1919,plain,
% 4.14/4.20 (P8(x19191,f87(x19191))),
% 4.14/4.20 inference(rename_variables,[],[272])).
% 4.14/4.20 cnf(1923,plain,
% 4.14/4.20 (~P8(f87(x19231),x19231)),
% 4.14/4.20 inference(scs_inference,[],[253,282,283,248,239,242,266,1778,1798,1826,275,249,273,274,279,1837,260,272,1787,1888,1919,290,251,246,1514,1516,1779,1783,1792,1825,1829,1832,1877,1883,1900,1729,1442,1716,1786,1807,1874,1482,1797,1801,1804,1388,1338,1394,1400,1421,1385,1600,1724,708,1391,1397,1070,1137,1694,796,791,1868,671,1775,1810,1857,1880,667,1790,1813,1816,1819,1198,1067,834,1175,684,818,601,572,574,543,500,459,623,546,550,633,577,631,630,648,647,545,527,450,347,455,473,402,339,438,522,600,472,593,336,327,513,340,582,581,629,414,437,538,506,424,404,401,345,421,568,465,615,644,394,388,451,413,379])).
% 4.14/4.20 cnf(1935,plain,
% 4.14/4.20 (P11(x19351,f104(x19351,x19352))),
% 4.14/4.20 inference(rename_variables,[],[279])).
% 4.14/4.20 cnf(1938,plain,
% 4.14/4.20 (P11(x19381,f104(x19381,x19382))),
% 4.14/4.20 inference(rename_variables,[],[279])).
% 4.14/4.20 cnf(1941,plain,
% 4.14/4.20 (P8(x19411,f87(x19411))),
% 4.14/4.20 inference(rename_variables,[],[272])).
% 4.14/4.20 cnf(1944,plain,
% 4.14/4.20 (P8(x19441,f87(x19441))),
% 4.14/4.20 inference(rename_variables,[],[272])).
% 4.14/4.20 cnf(1947,plain,
% 4.14/4.20 (~P8(f68(x19471),x19471)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1950,plain,
% 4.14/4.20 (~P8(f68(x19501),x19501)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1953,plain,
% 4.14/4.20 (E(f104(x19531,a1),x19531)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1956,plain,
% 4.14/4.20 (~P8(f68(x19561),x19561)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1957,plain,
% 4.14/4.20 (E(f104(x19571,a1),x19571)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1960,plain,
% 4.14/4.20 (E(f104(x19601,a1),x19601)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1963,plain,
% 4.14/4.20 (E(f104(x19631,a1),x19631)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1966,plain,
% 4.14/4.20 (~P8(f68(x19661),x19661)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1967,plain,
% 4.14/4.20 (P11(x19671,f104(x19671,x19672))),
% 4.14/4.20 inference(rename_variables,[],[279])).
% 4.14/4.20 cnf(1970,plain,
% 4.14/4.20 (~P8(f68(x19701),x19701)),
% 4.14/4.20 inference(rename_variables,[],[1516])).
% 4.14/4.20 cnf(1973,plain,
% 4.14/4.20 (P8(x19731,f87(x19731))),
% 4.14/4.20 inference(rename_variables,[],[272])).
% 4.14/4.20 cnf(1974,plain,
% 4.14/4.20 (E(f104(x19741,a1),x19741)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1981,plain,
% 4.14/4.20 (~P8(f108(f108(f108(x19811,x19811),f108(x19812,x19812)),f108(f108(x19811,x19811),f108(x19811,x19811))),f86(f104(f92(a1),f92(a1))))),
% 4.14/4.20 inference(scs_inference,[],[253,282,283,248,234,239,242,266,1778,1798,1826,1912,1953,1957,1960,1963,275,249,273,274,279,1837,1935,1938,260,1782,258,272,1787,1888,1919,1941,1944,1973,290,271,251,246,1514,1516,1779,1783,1792,1825,1829,1832,1877,1883,1900,1917,1947,1950,1956,1966,1970,1729,1494,1442,1716,1786,1807,1874,1482,1797,1801,1804,1891,1676,1388,1338,1394,1400,1421,1385,1600,1724,708,1391,1397,1070,1137,1694,796,791,1868,671,1775,1810,1857,1880,667,1790,1813,1816,1819,1198,1067,834,1175,684,818,601,572,574,543,500,459,623,546,550,633,577,631,630,648,647,545,527,450,347,455,473,402,339,438,522,600,472,593,336,327,513,340,582,581,629,414,437,538,506,424,404,401,345,421,568,465,615,644,394,388,451,413,379,332,324,343,417,412,411,491,440,419,418,383,382,361,360,449,526,436,452,338,571])).
% 4.14/4.20 cnf(1997,plain,
% 4.14/4.20 (E(f104(x19971,a1),x19971)),
% 4.14/4.20 inference(rename_variables,[],[266])).
% 4.14/4.20 cnf(1999,plain,
% 4.14/4.20 (P8(f108(f108(a69,f104(f2(f96(a66,a70),a69),a1)),f108(a69,a69)),f96(a66,a70))),
% 4.14/4.20 inference(scs_inference,[],[253,282,283,248,234,239,242,266,1778,1798,1826,1912,1953,1957,1960,1963,1974,1997,275,249,273,274,279,1837,1935,1938,1967,280,260,1782,258,241,272,1787,1888,1919,1941,1944,1973,247,290,271,237,284,251,246,1514,1516,1779,1783,1792,1825,1829,1832,1877,1883,1900,1917,1947,1950,1956,1966,1970,1431,1729,1494,1442,1617,1716,1786,1807,1874,1482,1797,1801,1804,1891,1676,1388,1338,1394,1400,1421,1385,1600,1724,708,1391,1397,1070,1520,1137,1540,1694,796,791,1868,671,1775,1810,1857,1880,840,1204,667,1790,1813,1816,1819,1198,1067,834,1175,684,818,601,572,574,543,500,459,623,546,550,633,577,631,630,648,647,545,527,450,347,455,473,402,339,438,522,600,472,593,336,327,513,340,582,581,629,414,437,538,506,424,404,401,345,421,568,465,615,644,394,388,451,413,379,332,324,343,417,412,411,491,440,419,418,383,382,361,360,449,526,436,452,338,571,408,397,330,464,367,320,393,556])).
% 4.14/4.20 cnf(2169,plain,
% 4.14/4.20 (~P8(x21691,f98(f94(a1,a66),x21692))),
% 4.14/4.20 inference(rename_variables,[],[1803])).
% 4.14/4.20 cnf(2173,plain,
% 4.14/4.20 (~P8(f87(x21731),x21731)),
% 4.14/4.20 inference(rename_variables,[],[1923])).
% 4.14/4.20 cnf(2174,plain,
% 4.14/4.20 (P6(f96(a66,x21741))),
% 4.14/4.20 inference(rename_variables,[],[840])).
% 4.14/4.20 cnf(2184,plain,
% 4.14/4.20 (P6(f96(a66,x21841))),
% 4.14/4.20 inference(rename_variables,[],[840])).
% 4.14/4.20 cnf(2194,plain,
% 4.14/4.20 (E(f108(x21941,x21942),f108(x21942,x21941))),
% 4.14/4.20 inference(rename_variables,[],[276])).
% 4.14/4.20 cnf(2200,plain,
% 4.14/4.20 ($false),
% 4.14/4.20 inference(scs_inference,[],[253,276,2194,260,272,294,271,284,1923,2173,1803,2169,1999,1981,688,991,1204,1520,840,2174,2184,787,244,605,586,498,504,570,602,543,84,7,392]),
% 4.14/4.20 ['proof']).
% 4.14/4.20 % SZS output end Proof
% 4.14/4.20 % Total time :3.400000s
%------------------------------------------------------------------------------