TSTP Solution File: SEU247+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU247+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:18:43 EDT 2023
% Result : Theorem 3.08s 3.14s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU247+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
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 19:07:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 2.97/3.10 %-------------------------------------------
% 2.97/3.10 % File :CSE---1.6
% 2.97/3.10 % Problem :theBenchmark
% 2.97/3.10 % Transform :cnf
% 2.97/3.10 % Format :tptp:raw
% 2.97/3.10 % Command :java -jar mcs_scs.jar %d %s
% 2.97/3.10
% 2.97/3.10 % Result :Theorem 2.190000s
% 2.97/3.10 % Output :CNFRefutation 2.190000s
% 2.97/3.10 %-------------------------------------------
% 2.97/3.10 %------------------------------------------------------------------------------
% 2.97/3.10 % File : SEU247+2 : TPTP v8.1.2. Released v3.3.0.
% 2.97/3.10 % Domain : Set theory
% 2.97/3.10 % Problem : MPTP chainy problem t18_wellord1
% 2.97/3.10 % Version : [Urb07] axioms : Especial.
% 2.97/3.10 % English :
% 2.97/3.10
% 2.97/3.10 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 2.97/3.10 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 2.97/3.10 % Source : [Urb07]
% 2.97/3.10 % Names : chainy-t18_wellord1 [Urb07]
% 2.97/3.10
% 2.97/3.10 % Status : Theorem
% 2.97/3.10 % Rating : 0.31 v8.1.0, 0.28 v7.5.0, 0.31 v7.4.0, 0.23 v7.3.0, 0.24 v7.1.0, 0.30 v7.0.0, 0.33 v6.4.0, 0.38 v6.3.0, 0.33 v6.2.0, 0.36 v6.1.0, 0.50 v6.0.0, 0.43 v5.5.0, 0.44 v5.4.0, 0.57 v5.3.0, 0.56 v5.2.0, 0.45 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.52 v4.0.0, 0.54 v3.7.0, 0.50 v3.5.0, 0.58 v3.3.0
% 2.97/3.10 % Syntax : Number of formulae : 305 ( 58 unt; 0 def)
% 2.97/3.10 % Number of atoms : 952 ( 172 equ)
% 2.97/3.10 % Maximal formula atoms : 15 ( 3 avg)
% 2.97/3.10 % Number of connectives : 755 ( 108 ~; 8 |; 257 &)
% 2.97/3.10 % ( 113 <=>; 269 =>; 0 <=; 0 <~>)
% 2.97/3.10 % Maximal formula depth : 14 ( 5 avg)
% 2.97/3.11 % Maximal term depth : 4 ( 1 avg)
% 2.97/3.11 % Number of predicates : 30 ( 28 usr; 1 prp; 0-2 aty)
% 2.97/3.11 % Number of functors : 33 ( 33 usr; 1 con; 0-3 aty)
% 2.97/3.11 % Number of variables : 645 ( 613 !; 32 ?)
% 2.97/3.11 % SPC : FOF_THM_RFO_SEQ
% 2.97/3.11
% 2.97/3.11 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 2.97/3.11 % library, www.mizar.org
% 2.97/3.11 %------------------------------------------------------------------------------
% 2.97/3.11 fof(antisymmetry_r2_hidden,axiom,
% 2.97/3.11 ! [A,B] :
% 2.97/3.11 ( in(A,B)
% 2.97/3.11 => ~ in(B,A) ) ).
% 2.97/3.11
% 2.97/3.11 fof(antisymmetry_r2_xboole_0,axiom,
% 2.97/3.11 ! [A,B] :
% 2.97/3.11 ( proper_subset(A,B)
% 2.97/3.11 => ~ proper_subset(B,A) ) ).
% 2.97/3.11
% 2.97/3.11 fof(cc1_funct_1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( empty(A)
% 2.97/3.11 => function(A) ) ).
% 2.97/3.11
% 2.97/3.11 fof(cc1_ordinal1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( ordinal(A)
% 2.97/3.11 => ( epsilon_transitive(A)
% 2.97/3.11 & epsilon_connected(A) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(cc1_relat_1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( empty(A)
% 2.97/3.11 => relation(A) ) ).
% 2.97/3.11
% 2.97/3.11 fof(cc2_funct_1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( ( relation(A)
% 2.97/3.11 & empty(A)
% 2.97/3.11 & function(A) )
% 2.97/3.11 => ( relation(A)
% 2.97/3.11 & function(A)
% 2.97/3.11 & one_to_one(A) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(cc2_ordinal1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( ( epsilon_transitive(A)
% 2.97/3.11 & epsilon_connected(A) )
% 2.97/3.11 => ordinal(A) ) ).
% 2.97/3.11
% 2.97/3.11 fof(cc3_ordinal1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( empty(A)
% 2.97/3.11 => ( epsilon_transitive(A)
% 2.97/3.11 & epsilon_connected(A)
% 2.97/3.11 & ordinal(A) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(commutativity_k2_tarski,axiom,
% 2.97/3.11 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 2.97/3.11
% 2.97/3.11 fof(commutativity_k2_xboole_0,axiom,
% 2.97/3.11 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 2.97/3.11
% 2.97/3.11 fof(commutativity_k3_xboole_0,axiom,
% 2.97/3.11 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 2.97/3.11
% 2.97/3.11 fof(connectedness_r1_ordinal1,axiom,
% 2.97/3.11 ! [A,B] :
% 2.97/3.11 ( ( ordinal(A)
% 2.97/3.11 & ordinal(B) )
% 2.97/3.11 => ( ordinal_subset(A,B)
% 2.97/3.11 | ordinal_subset(B,A) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(d10_relat_1,axiom,
% 2.97/3.11 ! [A,B] :
% 2.97/3.11 ( relation(B)
% 2.97/3.11 => ( B = identity_relation(A)
% 2.97/3.11 <=> ! [C,D] :
% 2.97/3.11 ( in(ordered_pair(C,D),B)
% 2.97/3.11 <=> ( in(C,A)
% 2.97/3.11 & C = D ) ) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(d10_xboole_0,axiom,
% 2.97/3.11 ! [A,B] :
% 2.97/3.11 ( A = B
% 2.97/3.11 <=> ( subset(A,B)
% 2.97/3.11 & subset(B,A) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(d11_relat_1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( relation(A)
% 2.97/3.11 => ! [B,C] :
% 2.97/3.11 ( relation(C)
% 2.97/3.11 => ( C = relation_dom_restriction(A,B)
% 2.97/3.11 <=> ! [D,E] :
% 2.97/3.11 ( in(ordered_pair(D,E),C)
% 2.97/3.11 <=> ( in(D,B)
% 2.97/3.11 & in(ordered_pair(D,E),A) ) ) ) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(d12_funct_1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( ( relation(A)
% 2.97/3.11 & function(A) )
% 2.97/3.11 => ! [B,C] :
% 2.97/3.11 ( C = relation_image(A,B)
% 2.97/3.11 <=> ! [D] :
% 2.97/3.11 ( in(D,C)
% 2.97/3.11 <=> ? [E] :
% 2.97/3.11 ( in(E,relation_dom(A))
% 2.97/3.11 & in(E,B)
% 2.97/3.11 & D = apply(A,E) ) ) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(d12_relat_1,axiom,
% 2.97/3.11 ! [A,B] :
% 2.97/3.11 ( relation(B)
% 2.97/3.11 => ! [C] :
% 2.97/3.11 ( relation(C)
% 2.97/3.11 => ( C = relation_rng_restriction(A,B)
% 2.97/3.11 <=> ! [D,E] :
% 2.97/3.11 ( in(ordered_pair(D,E),C)
% 2.97/3.11 <=> ( in(E,A)
% 2.97/3.11 & in(ordered_pair(D,E),B) ) ) ) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(d12_relat_2,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( relation(A)
% 2.97/3.11 => ( antisymmetric(A)
% 2.97/3.11 <=> is_antisymmetric_in(A,relation_field(A)) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(d13_funct_1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( ( relation(A)
% 2.97/3.11 & function(A) )
% 2.97/3.11 => ! [B,C] :
% 2.97/3.11 ( C = relation_inverse_image(A,B)
% 2.97/3.11 <=> ! [D] :
% 2.97/3.11 ( in(D,C)
% 2.97/3.11 <=> ( in(D,relation_dom(A))
% 2.97/3.11 & in(apply(A,D),B) ) ) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(d13_relat_1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( relation(A)
% 2.97/3.11 => ! [B,C] :
% 2.97/3.11 ( C = relation_image(A,B)
% 2.97/3.11 <=> ! [D] :
% 2.97/3.11 ( in(D,C)
% 2.97/3.11 <=> ? [E] :
% 2.97/3.11 ( in(ordered_pair(E,D),A)
% 2.97/3.11 & in(E,B) ) ) ) ) ).
% 2.97/3.11
% 2.97/3.11 fof(d14_relat_1,axiom,
% 2.97/3.11 ! [A] :
% 2.97/3.11 ( relation(A)
% 2.97/3.11 => ! [B,C] :
% 2.97/3.11 ( C = relation_inverse_image(A,B)
% 2.97/3.11 <=> ! [D] :
% 2.97/3.11 ( in(D,C)
% 2.97/3.11 <=> ? [E] :
% 2.97/3.11 ( in(ordered_pair(D,E),A)
% 2.97/3.11 & in(E,B) ) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d14_relat_2,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ( connected(A)
% 2.97/3.12 <=> is_connected_in(A,relation_field(A)) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d16_relat_2,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ( transitive(A)
% 2.97/3.12 <=> is_transitive_in(A,relation_field(A)) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d1_enumset1,axiom,
% 2.97/3.12 ! [A,B,C,D] :
% 2.97/3.12 ( D = unordered_triple(A,B,C)
% 2.97/3.12 <=> ! [E] :
% 2.97/3.12 ( in(E,D)
% 2.97/3.12 <=> ~ ( E != A
% 2.97/3.12 & E != B
% 2.97/3.12 & E != C ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d1_ordinal1,axiom,
% 2.97/3.12 ! [A] : succ(A) = set_union2(A,singleton(A)) ).
% 2.97/3.12
% 2.97/3.12 fof(d1_relat_1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 <=> ! [B] :
% 2.97/3.12 ~ ( in(B,A)
% 2.97/3.12 & ! [C,D] : B != ordered_pair(C,D) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d1_relat_2,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ! [B] :
% 2.97/3.12 ( is_reflexive_in(A,B)
% 2.97/3.12 <=> ! [C] :
% 2.97/3.12 ( in(C,B)
% 2.97/3.12 => in(ordered_pair(C,C),A) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d1_setfam_1,axiom,
% 2.97/3.12 ! [A,B] :
% 2.97/3.12 ( ( A != empty_set
% 2.97/3.12 => ( B = set_meet(A)
% 2.97/3.12 <=> ! [C] :
% 2.97/3.12 ( in(C,B)
% 2.97/3.12 <=> ! [D] :
% 2.97/3.12 ( in(D,A)
% 2.97/3.12 => in(C,D) ) ) ) )
% 2.97/3.12 & ( A = empty_set
% 2.97/3.12 => ( B = set_meet(A)
% 2.97/3.12 <=> B = empty_set ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d1_tarski,axiom,
% 2.97/3.12 ! [A,B] :
% 2.97/3.12 ( B = singleton(A)
% 2.97/3.12 <=> ! [C] :
% 2.97/3.12 ( in(C,B)
% 2.97/3.12 <=> C = A ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d1_xboole_0,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( A = empty_set
% 2.97/3.12 <=> ! [B] : ~ in(B,A) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d1_zfmisc_1,axiom,
% 2.97/3.12 ! [A,B] :
% 2.97/3.12 ( B = powerset(A)
% 2.97/3.12 <=> ! [C] :
% 2.97/3.12 ( in(C,B)
% 2.97/3.12 <=> subset(C,A) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d2_ordinal1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( epsilon_transitive(A)
% 2.97/3.12 <=> ! [B] :
% 2.97/3.12 ( in(B,A)
% 2.97/3.12 => subset(B,A) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d2_relat_1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ! [B] :
% 2.97/3.12 ( relation(B)
% 2.97/3.12 => ( A = B
% 2.97/3.12 <=> ! [C,D] :
% 2.97/3.12 ( in(ordered_pair(C,D),A)
% 2.97/3.12 <=> in(ordered_pair(C,D),B) ) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d2_subset_1,axiom,
% 2.97/3.12 ! [A,B] :
% 2.97/3.12 ( ( ~ empty(A)
% 2.97/3.12 => ( element(B,A)
% 2.97/3.12 <=> in(B,A) ) )
% 2.97/3.12 & ( empty(A)
% 2.97/3.12 => ( element(B,A)
% 2.97/3.12 <=> empty(B) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d2_tarski,axiom,
% 2.97/3.12 ! [A,B,C] :
% 2.97/3.12 ( C = unordered_pair(A,B)
% 2.97/3.12 <=> ! [D] :
% 2.97/3.12 ( in(D,C)
% 2.97/3.12 <=> ( D = A
% 2.97/3.12 | D = B ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d2_wellord1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ( well_founded_relation(A)
% 2.97/3.12 <=> ! [B] :
% 2.97/3.12 ~ ( subset(B,relation_field(A))
% 2.97/3.12 & B != empty_set
% 2.97/3.12 & ! [C] :
% 2.97/3.12 ~ ( in(C,B)
% 2.97/3.12 & disjoint(fiber(A,C),B) ) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d2_xboole_0,axiom,
% 2.97/3.12 ! [A,B,C] :
% 2.97/3.12 ( C = set_union2(A,B)
% 2.97/3.12 <=> ! [D] :
% 2.97/3.12 ( in(D,C)
% 2.97/3.12 <=> ( in(D,A)
% 2.97/3.12 | in(D,B) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d2_zfmisc_1,axiom,
% 2.97/3.12 ! [A,B,C] :
% 2.97/3.12 ( C = cartesian_product2(A,B)
% 2.97/3.12 <=> ! [D] :
% 2.97/3.12 ( in(D,C)
% 2.97/3.12 <=> ? [E,F] :
% 2.97/3.12 ( in(E,A)
% 2.97/3.12 & in(F,B)
% 2.97/3.12 & D = ordered_pair(E,F) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d3_ordinal1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( epsilon_connected(A)
% 2.97/3.12 <=> ! [B,C] :
% 2.97/3.12 ~ ( in(B,A)
% 2.97/3.12 & in(C,A)
% 2.97/3.12 & ~ in(B,C)
% 2.97/3.12 & B != C
% 2.97/3.12 & ~ in(C,B) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d3_relat_1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ! [B] :
% 2.97/3.12 ( relation(B)
% 2.97/3.12 => ( subset(A,B)
% 2.97/3.12 <=> ! [C,D] :
% 2.97/3.12 ( in(ordered_pair(C,D),A)
% 2.97/3.12 => in(ordered_pair(C,D),B) ) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d3_tarski,axiom,
% 2.97/3.12 ! [A,B] :
% 2.97/3.12 ( subset(A,B)
% 2.97/3.12 <=> ! [C] :
% 2.97/3.12 ( in(C,A)
% 2.97/3.12 => in(C,B) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d3_wellord1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ! [B] :
% 2.97/3.12 ( is_well_founded_in(A,B)
% 2.97/3.12 <=> ! [C] :
% 2.97/3.12 ~ ( subset(C,B)
% 2.97/3.12 & C != empty_set
% 2.97/3.12 & ! [D] :
% 2.97/3.12 ~ ( in(D,C)
% 2.97/3.12 & disjoint(fiber(A,D),C) ) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d3_xboole_0,axiom,
% 2.97/3.12 ! [A,B,C] :
% 2.97/3.12 ( C = set_intersection2(A,B)
% 2.97/3.12 <=> ! [D] :
% 2.97/3.12 ( in(D,C)
% 2.97/3.12 <=> ( in(D,A)
% 2.97/3.12 & in(D,B) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d4_funct_1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( ( relation(A)
% 2.97/3.12 & function(A) )
% 2.97/3.12 => ! [B,C] :
% 2.97/3.12 ( ( in(B,relation_dom(A))
% 2.97/3.12 => ( C = apply(A,B)
% 2.97/3.12 <=> in(ordered_pair(B,C),A) ) )
% 2.97/3.12 & ( ~ in(B,relation_dom(A))
% 2.97/3.12 => ( C = apply(A,B)
% 2.97/3.12 <=> C = empty_set ) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d4_ordinal1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( ordinal(A)
% 2.97/3.12 <=> ( epsilon_transitive(A)
% 2.97/3.12 & epsilon_connected(A) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d4_relat_1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ! [B] :
% 2.97/3.12 ( B = relation_dom(A)
% 2.97/3.12 <=> ! [C] :
% 2.97/3.12 ( in(C,B)
% 2.97/3.12 <=> ? [D] : in(ordered_pair(C,D),A) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d4_relat_2,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ! [B] :
% 2.97/3.12 ( is_antisymmetric_in(A,B)
% 2.97/3.12 <=> ! [C,D] :
% 2.97/3.12 ( ( in(C,B)
% 2.97/3.12 & in(D,B)
% 2.97/3.12 & in(ordered_pair(C,D),A)
% 2.97/3.12 & in(ordered_pair(D,C),A) )
% 2.97/3.12 => C = D ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d4_subset_1,axiom,
% 2.97/3.12 ! [A] : cast_to_subset(A) = A ).
% 2.97/3.12
% 2.97/3.12 fof(d4_tarski,axiom,
% 2.97/3.12 ! [A,B] :
% 2.97/3.12 ( B = union(A)
% 2.97/3.12 <=> ! [C] :
% 2.97/3.12 ( in(C,B)
% 2.97/3.12 <=> ? [D] :
% 2.97/3.12 ( in(C,D)
% 2.97/3.12 & in(D,A) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d4_wellord1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( relation(A)
% 2.97/3.12 => ( well_ordering(A)
% 2.97/3.12 <=> ( reflexive(A)
% 2.97/3.12 & transitive(A)
% 2.97/3.12 & antisymmetric(A)
% 2.97/3.12 & connected(A)
% 2.97/3.12 & well_founded_relation(A) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d4_xboole_0,axiom,
% 2.97/3.12 ! [A,B,C] :
% 2.97/3.12 ( C = set_difference(A,B)
% 2.97/3.12 <=> ! [D] :
% 2.97/3.12 ( in(D,C)
% 2.97/3.12 <=> ( in(D,A)
% 2.97/3.12 & ~ in(D,B) ) ) ) ).
% 2.97/3.12
% 2.97/3.12 fof(d5_funct_1,axiom,
% 2.97/3.12 ! [A] :
% 2.97/3.12 ( ( relation(A)
% 2.97/3.12 & function(A) )
% 2.97/3.12 => ! [B] :
% 2.97/3.12 ( B = relation_rng(A)
% 2.97/3.12 <=> ! [C] :
% 2.97/3.12 ( in(C,B)
% 2.97/3.12 <=> ? [D] :
% 2.97/3.12 ( in(D,relation_dom(A))
% 2.97/3.13 & C = apply(A,D) ) ) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d5_relat_1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => ! [B] :
% 2.97/3.13 ( B = relation_rng(A)
% 2.97/3.13 <=> ! [C] :
% 2.97/3.13 ( in(C,B)
% 2.97/3.13 <=> ? [D] : in(ordered_pair(D,C),A) ) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d5_subset_1,axiom,
% 2.97/3.13 ! [A,B] :
% 2.97/3.13 ( element(B,powerset(A))
% 2.97/3.13 => subset_complement(A,B) = set_difference(A,B) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d5_tarski,axiom,
% 2.97/3.13 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 2.97/3.13
% 2.97/3.13 fof(d5_wellord1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => ! [B] :
% 2.97/3.13 ( well_orders(A,B)
% 2.97/3.13 <=> ( is_reflexive_in(A,B)
% 2.97/3.13 & is_transitive_in(A,B)
% 2.97/3.13 & is_antisymmetric_in(A,B)
% 2.97/3.13 & is_connected_in(A,B)
% 2.97/3.13 & is_well_founded_in(A,B) ) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d6_ordinal1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( being_limit_ordinal(A)
% 2.97/3.13 <=> A = union(A) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d6_relat_1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d6_relat_2,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => ! [B] :
% 2.97/3.13 ( is_connected_in(A,B)
% 2.97/3.13 <=> ! [C,D] :
% 2.97/3.13 ~ ( in(C,B)
% 2.97/3.13 & in(D,B)
% 2.97/3.13 & C != D
% 2.97/3.13 & ~ in(ordered_pair(C,D),A)
% 2.97/3.13 & ~ in(ordered_pair(D,C),A) ) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d6_wellord1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => ! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d7_relat_1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => ! [B] :
% 2.97/3.13 ( relation(B)
% 2.97/3.13 => ( B = relation_inverse(A)
% 2.97/3.13 <=> ! [C,D] :
% 2.97/3.13 ( in(ordered_pair(C,D),B)
% 2.97/3.13 <=> in(ordered_pair(D,C),A) ) ) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d7_xboole_0,axiom,
% 2.97/3.13 ! [A,B] :
% 2.97/3.13 ( disjoint(A,B)
% 2.97/3.13 <=> set_intersection2(A,B) = empty_set ) ).
% 2.97/3.13
% 2.97/3.13 fof(d8_funct_1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( ( relation(A)
% 2.97/3.13 & function(A) )
% 2.97/3.13 => ( one_to_one(A)
% 2.97/3.13 <=> ! [B,C] :
% 2.97/3.13 ( ( in(B,relation_dom(A))
% 2.97/3.13 & in(C,relation_dom(A))
% 2.97/3.13 & apply(A,B) = apply(A,C) )
% 2.97/3.13 => B = C ) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d8_relat_1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => ! [B] :
% 2.97/3.13 ( relation(B)
% 2.97/3.13 => ! [C] :
% 2.97/3.13 ( relation(C)
% 2.97/3.13 => ( C = relation_composition(A,B)
% 2.97/3.13 <=> ! [D,E] :
% 2.97/3.13 ( in(ordered_pair(D,E),C)
% 2.97/3.13 <=> ? [F] :
% 2.97/3.13 ( in(ordered_pair(D,F),A)
% 2.97/3.13 & in(ordered_pair(F,E),B) ) ) ) ) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d8_relat_2,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => ! [B] :
% 2.97/3.13 ( is_transitive_in(A,B)
% 2.97/3.13 <=> ! [C,D,E] :
% 2.97/3.13 ( ( in(C,B)
% 2.97/3.13 & in(D,B)
% 2.97/3.13 & in(E,B)
% 2.97/3.13 & in(ordered_pair(C,D),A)
% 2.97/3.13 & in(ordered_pair(D,E),A) )
% 2.97/3.13 => in(ordered_pair(C,E),A) ) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d8_setfam_1,axiom,
% 2.97/3.13 ! [A,B] :
% 2.97/3.13 ( element(B,powerset(powerset(A)))
% 2.97/3.13 => ! [C] :
% 2.97/3.13 ( element(C,powerset(powerset(A)))
% 2.97/3.13 => ( C = complements_of_subsets(A,B)
% 2.97/3.13 <=> ! [D] :
% 2.97/3.13 ( element(D,powerset(A))
% 2.97/3.13 => ( in(D,C)
% 2.97/3.13 <=> in(subset_complement(A,D),B) ) ) ) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d8_xboole_0,axiom,
% 2.97/3.13 ! [A,B] :
% 2.97/3.13 ( proper_subset(A,B)
% 2.97/3.13 <=> ( subset(A,B)
% 2.97/3.13 & A != B ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d9_funct_1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( ( relation(A)
% 2.97/3.13 & function(A) )
% 2.97/3.13 => ( one_to_one(A)
% 2.97/3.13 => function_inverse(A) = relation_inverse(A) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(d9_relat_2,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => ( reflexive(A)
% 2.97/3.13 <=> is_reflexive_in(A,relation_field(A)) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k10_relat_1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k1_enumset1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k1_funct_1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k1_ordinal1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k1_relat_1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k1_setfam_1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k1_tarski,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k1_wellord1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k1_xboole_0,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k1_zfmisc_1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k2_funct_1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( ( relation(A)
% 2.97/3.13 & function(A) )
% 2.97/3.13 => ( relation(function_inverse(A))
% 2.97/3.13 & function(function_inverse(A)) ) ) ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k2_relat_1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k2_subset_1,axiom,
% 2.97/3.13 ! [A] : element(cast_to_subset(A),powerset(A)) ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k2_tarski,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k2_wellord1,axiom,
% 2.97/3.13 ! [A,B] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => relation(relation_restriction(A,B)) ) ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k2_xboole_0,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k2_zfmisc_1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k3_relat_1,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k3_subset_1,axiom,
% 2.97/3.13 ! [A,B] :
% 2.97/3.13 ( element(B,powerset(A))
% 2.97/3.13 => element(subset_complement(A,B),powerset(A)) ) ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k3_tarski,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k3_xboole_0,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k4_relat_1,axiom,
% 2.97/3.13 ! [A] :
% 2.97/3.13 ( relation(A)
% 2.97/3.13 => relation(relation_inverse(A)) ) ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k4_tarski,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k4_xboole_0,axiom,
% 2.97/3.13 $true ).
% 2.97/3.13
% 2.97/3.13 fof(dt_k5_relat_1,axiom,
% 2.97/3.13 ! [A,B] :
% 2.97/3.13 ( ( relation(A)
% 2.97/3.13 & relation(B) )
% 3.08/3.13 => relation(relation_composition(A,B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(dt_k5_setfam_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( element(B,powerset(powerset(A)))
% 3.08/3.13 => element(union_of_subsets(A,B),powerset(A)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(dt_k6_relat_1,axiom,
% 3.08/3.13 ! [A] : relation(identity_relation(A)) ).
% 3.08/3.13
% 3.08/3.13 fof(dt_k6_setfam_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( element(B,powerset(powerset(A)))
% 3.08/3.13 => element(meet_of_subsets(A,B),powerset(A)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(dt_k6_subset_1,axiom,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( ( element(B,powerset(A))
% 3.08/3.13 & element(C,powerset(A)) )
% 3.08/3.13 => element(subset_difference(A,B,C),powerset(A)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(dt_k7_relat_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 => relation(relation_dom_restriction(A,B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(dt_k7_setfam_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( element(B,powerset(powerset(A)))
% 3.08/3.13 => element(complements_of_subsets(A,B),powerset(powerset(A))) ) ).
% 3.08/3.13
% 3.08/3.13 fof(dt_k8_relat_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => relation(relation_rng_restriction(A,B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(dt_k9_relat_1,axiom,
% 3.08/3.13 $true ).
% 3.08/3.13
% 3.08/3.13 fof(dt_m1_subset_1,axiom,
% 3.08/3.13 $true ).
% 3.08/3.13
% 3.08/3.13 fof(existence_m1_subset_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ? [B] : element(B,A) ).
% 3.08/3.13
% 3.08/3.13 fof(fc10_relat_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( empty(A)
% 3.08/3.13 & relation(B) )
% 3.08/3.13 => ( empty(relation_composition(B,A))
% 3.08/3.13 & relation(relation_composition(B,A)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc11_relat_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( empty(A)
% 3.08/3.13 => ( empty(relation_inverse(A))
% 3.08/3.13 & relation(relation_inverse(A)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc12_relat_1,axiom,
% 3.08/3.13 ( empty(empty_set)
% 3.08/3.13 & relation(empty_set)
% 3.08/3.13 & relation_empty_yielding(empty_set) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc13_relat_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(A)
% 3.08/3.13 & relation_empty_yielding(A) )
% 3.08/3.13 => ( relation(relation_dom_restriction(A,B))
% 3.08/3.13 & relation_empty_yielding(relation_dom_restriction(A,B)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc1_funct_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(A)
% 3.08/3.13 & function(A)
% 3.08/3.13 & relation(B)
% 3.08/3.13 & function(B) )
% 3.08/3.13 => ( relation(relation_composition(A,B))
% 3.08/3.13 & function(relation_composition(A,B)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc1_ordinal1,axiom,
% 3.08/3.13 ! [A] : ~ empty(succ(A)) ).
% 3.08/3.13
% 3.08/3.13 fof(fc1_relat_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(A)
% 3.08/3.13 & relation(B) )
% 3.08/3.13 => relation(set_intersection2(A,B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc1_subset_1,axiom,
% 3.08/3.13 ! [A] : ~ empty(powerset(A)) ).
% 3.08/3.13
% 3.08/3.13 fof(fc1_xboole_0,axiom,
% 3.08/3.13 empty(empty_set) ).
% 3.08/3.13
% 3.08/3.13 fof(fc1_zfmisc_1,axiom,
% 3.08/3.13 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 3.08/3.13
% 3.08/3.13 fof(fc2_funct_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( relation(identity_relation(A))
% 3.08/3.13 & function(identity_relation(A)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc2_ordinal1,axiom,
% 3.08/3.13 ( relation(empty_set)
% 3.08/3.13 & relation_empty_yielding(empty_set)
% 3.08/3.13 & function(empty_set)
% 3.08/3.13 & one_to_one(empty_set)
% 3.08/3.13 & empty(empty_set)
% 3.08/3.13 & epsilon_transitive(empty_set)
% 3.08/3.13 & epsilon_connected(empty_set)
% 3.08/3.13 & ordinal(empty_set) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc2_relat_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(A)
% 3.08/3.13 & relation(B) )
% 3.08/3.13 => relation(set_union2(A,B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc2_subset_1,axiom,
% 3.08/3.13 ! [A] : ~ empty(singleton(A)) ).
% 3.08/3.13
% 3.08/3.13 fof(fc2_xboole_0,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ~ empty(A)
% 3.08/3.13 => ~ empty(set_union2(A,B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc3_funct_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( ( relation(A)
% 3.08/3.13 & function(A)
% 3.08/3.13 & one_to_one(A) )
% 3.08/3.13 => ( relation(relation_inverse(A))
% 3.08/3.13 & function(relation_inverse(A)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc3_ordinal1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( ordinal(A)
% 3.08/3.13 => ( ~ empty(succ(A))
% 3.08/3.13 & epsilon_transitive(succ(A))
% 3.08/3.13 & epsilon_connected(succ(A))
% 3.08/3.13 & ordinal(succ(A)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc3_relat_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(A)
% 3.08/3.13 & relation(B) )
% 3.08/3.13 => relation(set_difference(A,B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc3_subset_1,axiom,
% 3.08/3.13 ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 3.08/3.13
% 3.08/3.13 fof(fc3_xboole_0,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ~ empty(A)
% 3.08/3.13 => ~ empty(set_union2(B,A)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc4_funct_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(A)
% 3.08/3.13 & function(A) )
% 3.08/3.13 => ( relation(relation_dom_restriction(A,B))
% 3.08/3.13 & function(relation_dom_restriction(A,B)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc4_ordinal1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( ordinal(A)
% 3.08/3.13 => ( epsilon_transitive(union(A))
% 3.08/3.13 & epsilon_connected(union(A))
% 3.08/3.13 & ordinal(union(A)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc4_relat_1,axiom,
% 3.08/3.13 ( empty(empty_set)
% 3.08/3.13 & relation(empty_set) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc4_subset_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( ~ empty(A)
% 3.08/3.13 & ~ empty(B) )
% 3.08/3.13 => ~ empty(cartesian_product2(A,B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc5_funct_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(B)
% 3.08/3.13 & function(B) )
% 3.08/3.13 => ( relation(relation_rng_restriction(A,B))
% 3.08/3.13 & function(relation_rng_restriction(A,B)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc5_relat_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( ( ~ empty(A)
% 3.08/3.13 & relation(A) )
% 3.08/3.13 => ~ empty(relation_dom(A)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc6_relat_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( ( ~ empty(A)
% 3.08/3.13 & relation(A) )
% 3.08/3.13 => ~ empty(relation_rng(A)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc7_relat_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( empty(A)
% 3.08/3.13 => ( empty(relation_dom(A))
% 3.08/3.13 & relation(relation_dom(A)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc8_relat_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( empty(A)
% 3.08/3.13 => ( empty(relation_rng(A))
% 3.08/3.13 & relation(relation_rng(A)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(fc9_relat_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( empty(A)
% 3.08/3.13 & relation(B) )
% 3.08/3.13 => ( empty(relation_composition(A,B))
% 3.08/3.13 & relation(relation_composition(A,B)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(idempotence_k2_xboole_0,axiom,
% 3.08/3.13 ! [A,B] : set_union2(A,A) = A ).
% 3.08/3.13
% 3.08/3.13 fof(idempotence_k3_xboole_0,axiom,
% 3.08/3.13 ! [A,B] : set_intersection2(A,A) = A ).
% 3.08/3.13
% 3.08/3.13 fof(involutiveness_k3_subset_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( element(B,powerset(A))
% 3.08/3.13 => subset_complement(A,subset_complement(A,B)) = B ) ).
% 3.08/3.13
% 3.08/3.13 fof(involutiveness_k4_relat_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 => relation_inverse(relation_inverse(A)) = A ) ).
% 3.08/3.13
% 3.08/3.13 fof(involutiveness_k7_setfam_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( element(B,powerset(powerset(A)))
% 3.08/3.13 => complements_of_subsets(A,complements_of_subsets(A,B)) = B ) ).
% 3.08/3.13
% 3.08/3.13 fof(irreflexivity_r2_xboole_0,axiom,
% 3.08/3.13 ! [A,B] : ~ proper_subset(A,A) ).
% 3.08/3.13
% 3.08/3.13 fof(l1_wellord1,lemma,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 => ( reflexive(A)
% 3.08/3.13 <=> ! [B] :
% 3.08/3.13 ( in(B,relation_field(A))
% 3.08/3.13 => in(ordered_pair(B,B),A) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l1_zfmisc_1,lemma,
% 3.08/3.13 ! [A] : singleton(A) != empty_set ).
% 3.08/3.13
% 3.08/3.13 fof(l23_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( in(A,B)
% 3.08/3.13 => set_union2(singleton(A),B) = B ) ).
% 3.08/3.13
% 3.08/3.13 fof(l25_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ~ ( disjoint(singleton(A),B)
% 3.08/3.13 & in(A,B) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l28_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ~ in(A,B)
% 3.08/3.13 => disjoint(singleton(A),B) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l2_wellord1,lemma,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 => ( transitive(A)
% 3.08/3.13 <=> ! [B,C,D] :
% 3.08/3.13 ( ( in(ordered_pair(B,C),A)
% 3.08/3.13 & in(ordered_pair(C,D),A) )
% 3.08/3.13 => in(ordered_pair(B,D),A) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l2_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( subset(singleton(A),B)
% 3.08/3.13 <=> in(A,B) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l32_xboole_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( set_difference(A,B) = empty_set
% 3.08/3.13 <=> subset(A,B) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l3_subset_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( element(B,powerset(A))
% 3.08/3.13 => ! [C] :
% 3.08/3.13 ( in(C,B)
% 3.08/3.13 => in(C,A) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l3_wellord1,lemma,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 => ( antisymmetric(A)
% 3.08/3.13 <=> ! [B,C] :
% 3.08/3.13 ( ( in(ordered_pair(B,C),A)
% 3.08/3.13 & in(ordered_pair(C,B),A) )
% 3.08/3.13 => B = C ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l3_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( subset(A,B)
% 3.08/3.13 => ( in(C,A)
% 3.08/3.13 | subset(A,set_difference(B,singleton(C))) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l4_wellord1,lemma,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 => ( connected(A)
% 3.08/3.13 <=> ! [B,C] :
% 3.08/3.13 ~ ( in(B,relation_field(A))
% 3.08/3.13 & in(C,relation_field(A))
% 3.08/3.13 & B != C
% 3.08/3.13 & ~ in(ordered_pair(B,C),A)
% 3.08/3.13 & ~ in(ordered_pair(C,B),A) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l4_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( subset(A,singleton(B))
% 3.08/3.13 <=> ( A = empty_set
% 3.08/3.13 | A = singleton(B) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l50_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( in(A,B)
% 3.08/3.13 => subset(A,union(B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l55_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B,C,D] :
% 3.08/3.13 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 3.08/3.13 <=> ( in(A,C)
% 3.08/3.13 & in(B,D) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l71_subset_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ! [C] :
% 3.08/3.13 ( in(C,A)
% 3.08/3.13 => in(C,B) )
% 3.08/3.13 => element(A,powerset(B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(l82_funct_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( ( relation(C)
% 3.08/3.13 & function(C) )
% 3.08/3.13 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 3.08/3.13 <=> ( in(B,relation_dom(C))
% 3.08/3.13 & in(B,A) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc1_funct_1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 & function(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc1_ordinal1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( epsilon_transitive(A)
% 3.08/3.13 & epsilon_connected(A)
% 3.08/3.13 & ordinal(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc1_relat_1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( empty(A)
% 3.08/3.13 & relation(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc1_subset_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( ~ empty(A)
% 3.08/3.13 => ? [B] :
% 3.08/3.13 ( element(B,powerset(A))
% 3.08/3.13 & ~ empty(B) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc1_xboole_0,axiom,
% 3.08/3.13 ? [A] : empty(A) ).
% 3.08/3.13
% 3.08/3.13 fof(rc2_funct_1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 & empty(A)
% 3.08/3.13 & function(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc2_ordinal1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 & function(A)
% 3.08/3.13 & one_to_one(A)
% 3.08/3.13 & empty(A)
% 3.08/3.13 & epsilon_transitive(A)
% 3.08/3.13 & epsilon_connected(A)
% 3.08/3.13 & ordinal(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc2_relat_1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( ~ empty(A)
% 3.08/3.13 & relation(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc2_subset_1,axiom,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ? [B] :
% 3.08/3.13 ( element(B,powerset(A))
% 3.08/3.13 & empty(B) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc2_xboole_0,axiom,
% 3.08/3.13 ? [A] : ~ empty(A) ).
% 3.08/3.13
% 3.08/3.13 fof(rc3_funct_1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 & function(A)
% 3.08/3.13 & one_to_one(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc3_ordinal1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( ~ empty(A)
% 3.08/3.13 & epsilon_transitive(A)
% 3.08/3.13 & epsilon_connected(A)
% 3.08/3.13 & ordinal(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc3_relat_1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 & relation_empty_yielding(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(rc4_funct_1,axiom,
% 3.08/3.13 ? [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 & relation_empty_yielding(A)
% 3.08/3.13 & function(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(redefinition_k5_setfam_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( element(B,powerset(powerset(A)))
% 3.08/3.13 => union_of_subsets(A,B) = union(B) ) ).
% 3.08/3.13
% 3.08/3.13 fof(redefinition_k6_setfam_1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( element(B,powerset(powerset(A)))
% 3.08/3.13 => meet_of_subsets(A,B) = set_meet(B) ) ).
% 3.08/3.13
% 3.08/3.13 fof(redefinition_k6_subset_1,axiom,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( ( element(B,powerset(A))
% 3.08/3.13 & element(C,powerset(A)) )
% 3.08/3.13 => subset_difference(A,B,C) = set_difference(B,C) ) ).
% 3.08/3.13
% 3.08/3.13 fof(redefinition_r1_ordinal1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( ordinal(A)
% 3.08/3.13 & ordinal(B) )
% 3.08/3.13 => ( ordinal_subset(A,B)
% 3.08/3.13 <=> subset(A,B) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(reflexivity_r1_ordinal1,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( ordinal(A)
% 3.08/3.13 & ordinal(B) )
% 3.08/3.13 => ordinal_subset(A,A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(reflexivity_r1_tarski,axiom,
% 3.08/3.13 ! [A,B] : subset(A,A) ).
% 3.08/3.13
% 3.08/3.13 fof(symmetry_r1_xboole_0,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( disjoint(A,B)
% 3.08/3.13 => disjoint(B,A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t106_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B,C,D] :
% 3.08/3.13 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 3.08/3.13 <=> ( in(A,C)
% 3.08/3.13 & in(B,D) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t10_ordinal1,lemma,
% 3.08/3.13 ! [A] : in(A,succ(A)) ).
% 3.08/3.13
% 3.08/3.13 fof(t10_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B,C,D] :
% 3.08/3.13 ~ ( unordered_pair(A,B) = unordered_pair(C,D)
% 3.08/3.13 & A != C
% 3.08/3.13 & A != D ) ).
% 3.08/3.13
% 3.08/3.13 fof(t115_relat_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( relation(C)
% 3.08/3.13 => ( in(A,relation_rng(relation_rng_restriction(B,C)))
% 3.08/3.13 <=> ( in(A,B)
% 3.08/3.13 & in(A,relation_rng(C)) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t116_relat_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => subset(relation_rng(relation_rng_restriction(A,B)),A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t117_relat_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => subset(relation_rng_restriction(A,B),B) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t118_relat_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t118_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( subset(A,B)
% 3.08/3.13 => ( subset(cartesian_product2(A,C),cartesian_product2(B,C))
% 3.08/3.13 & subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t119_relat_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => relation_rng(relation_rng_restriction(A,B)) = set_intersection2(relation_rng(B),A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t119_zfmisc_1,lemma,
% 3.08/3.13 ! [A,B,C,D] :
% 3.08/3.13 ( ( subset(A,B)
% 3.08/3.13 & subset(C,D) )
% 3.08/3.13 => subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t12_xboole_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( subset(A,B)
% 3.08/3.13 => set_union2(A,B) = B ) ).
% 3.08/3.13
% 3.08/3.13 fof(t136_zfmisc_1,lemma,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ? [B] :
% 3.08/3.13 ( in(A,B)
% 3.08/3.13 & ! [C,D] :
% 3.08/3.13 ( ( in(C,B)
% 3.08/3.13 & subset(D,C) )
% 3.08/3.13 => in(D,B) )
% 3.08/3.13 & ! [C] :
% 3.08/3.13 ( in(C,B)
% 3.08/3.13 => in(powerset(C),B) )
% 3.08/3.13 & ! [C] :
% 3.08/3.13 ~ ( subset(C,B)
% 3.08/3.13 & ~ are_equipotent(C,B)
% 3.08/3.13 & ~ in(C,B) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t140_relat_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( relation(C)
% 3.08/3.13 => relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t143_relat_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( relation(C)
% 3.08/3.13 => ( in(A,relation_image(C,B))
% 3.08/3.13 <=> ? [D] :
% 3.08/3.13 ( in(D,relation_dom(C))
% 3.08/3.13 & in(ordered_pair(D,A),C)
% 3.08/3.13 & in(D,B) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t144_relat_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => subset(relation_image(B,A),relation_rng(B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t145_funct_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(B)
% 3.08/3.13 & function(B) )
% 3.08/3.13 => subset(relation_image(B,relation_inverse_image(B,A)),A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t145_relat_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => relation_image(B,A) = relation_image(B,set_intersection2(relation_dom(B),A)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t146_funct_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => ( subset(A,relation_dom(B))
% 3.08/3.13 => subset(A,relation_inverse_image(B,relation_image(B,A))) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t146_relat_1,lemma,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 => relation_image(A,relation_dom(A)) = relation_rng(A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t147_funct_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(B)
% 3.08/3.13 & function(B) )
% 3.08/3.13 => ( subset(A,relation_rng(B))
% 3.08/3.13 => relation_image(B,relation_inverse_image(B,A)) = A ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t160_relat_1,lemma,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 => ! [B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => relation_rng(relation_composition(A,B)) = relation_image(B,relation_rng(A)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t166_relat_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( relation(C)
% 3.08/3.13 => ( in(A,relation_inverse_image(C,B))
% 3.08/3.13 <=> ? [D] :
% 3.08/3.13 ( in(D,relation_rng(C))
% 3.08/3.13 & in(ordered_pair(A,D),C)
% 3.08/3.13 & in(D,B) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t167_relat_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => subset(relation_inverse_image(B,A),relation_dom(B)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t16_wellord1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( relation(C)
% 3.08/3.13 => ( in(A,relation_restriction(C,B))
% 3.08/3.13 <=> ( in(A,C)
% 3.08/3.13 & in(A,cartesian_product2(B,B)) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t174_relat_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => ~ ( A != empty_set
% 3.08/3.13 & subset(A,relation_rng(B))
% 3.08/3.13 & relation_inverse_image(B,A) = empty_set ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t178_relat_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( relation(C)
% 3.08/3.13 => ( subset(A,B)
% 3.08/3.13 => subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t17_wellord1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t17_xboole_1,lemma,
% 3.08/3.13 ! [A,B] : subset(set_intersection2(A,B),A) ).
% 3.08/3.13
% 3.08/3.13 fof(t18_wellord1,conjecture,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( relation(B)
% 3.08/3.13 => relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t19_xboole_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( ( subset(A,B)
% 3.08/3.13 & subset(A,C) )
% 3.08/3.13 => subset(A,set_intersection2(B,C)) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t1_boole,axiom,
% 3.08/3.13 ! [A] : set_union2(A,empty_set) = A ).
% 3.08/3.13
% 3.08/3.13 fof(t1_subset,axiom,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( in(A,B)
% 3.08/3.13 => element(A,B) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t1_xboole_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( ( subset(A,B)
% 3.08/3.13 & subset(B,C) )
% 3.08/3.13 => subset(A,C) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t1_zfmisc_1,lemma,
% 3.08/3.13 powerset(empty_set) = singleton(empty_set) ).
% 3.08/3.13
% 3.08/3.13 fof(t20_relat_1,lemma,
% 3.08/3.13 ! [A,B,C] :
% 3.08/3.13 ( relation(C)
% 3.08/3.13 => ( in(ordered_pair(A,B),C)
% 3.08/3.13 => ( in(A,relation_dom(C))
% 3.08/3.13 & in(B,relation_rng(C)) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t21_funct_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(B)
% 3.08/3.13 & function(B) )
% 3.08/3.13 => ! [C] :
% 3.08/3.13 ( ( relation(C)
% 3.08/3.13 & function(C) )
% 3.08/3.13 => ( in(A,relation_dom(relation_composition(C,B)))
% 3.08/3.13 <=> ( in(A,relation_dom(C))
% 3.08/3.13 & in(apply(C,A),relation_dom(B)) ) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t21_ordinal1,lemma,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( epsilon_transitive(A)
% 3.08/3.13 => ! [B] :
% 3.08/3.13 ( ordinal(B)
% 3.08/3.13 => ( proper_subset(A,B)
% 3.08/3.13 => in(A,B) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t21_relat_1,lemma,
% 3.08/3.13 ! [A] :
% 3.08/3.13 ( relation(A)
% 3.08/3.13 => subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t22_funct_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(B)
% 3.08/3.13 & function(B) )
% 3.08/3.13 => ! [C] :
% 3.08/3.13 ( ( relation(C)
% 3.08/3.13 & function(C) )
% 3.08/3.13 => ( in(A,relation_dom(relation_composition(C,B)))
% 3.08/3.13 => apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ) ).
% 3.08/3.13
% 3.08/3.13 fof(t23_funct_1,lemma,
% 3.08/3.13 ! [A,B] :
% 3.08/3.13 ( ( relation(B)
% 3.08/3.13 & function(B) )
% 3.08/3.13 => ! [C] :
% 3.08/3.14 ( ( relation(C)
% 3.08/3.14 & function(C) )
% 3.08/3.14 => ( in(A,relation_dom(B))
% 3.08/3.14 => apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t23_ordinal1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( ordinal(B)
% 3.08/3.14 => ( in(A,B)
% 3.08/3.14 => ordinal(A) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t24_ordinal1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( ordinal(A)
% 3.08/3.14 => ! [B] :
% 3.08/3.14 ( ordinal(B)
% 3.08/3.14 => ~ ( ~ in(A,B)
% 3.08/3.14 & A != B
% 3.08/3.14 & ~ in(B,A) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t25_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ! [B] :
% 3.08/3.14 ( relation(B)
% 3.08/3.14 => ( subset(A,B)
% 3.08/3.14 => ( subset(relation_dom(A),relation_dom(B))
% 3.08/3.14 & subset(relation_rng(A),relation_rng(B)) ) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t26_xboole_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( subset(A,B)
% 3.08/3.14 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t28_xboole_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( subset(A,B)
% 3.08/3.14 => set_intersection2(A,B) = A ) ).
% 3.08/3.14
% 3.08/3.14 fof(t2_boole,axiom,
% 3.08/3.14 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 3.08/3.14
% 3.08/3.14 fof(t2_subset,axiom,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( element(A,B)
% 3.08/3.14 => ( empty(B)
% 3.08/3.14 | in(A,B) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t2_tarski,axiom,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( ! [C] :
% 3.08/3.14 ( in(C,A)
% 3.08/3.14 <=> in(C,B) )
% 3.08/3.14 => A = B ) ).
% 3.08/3.14
% 3.08/3.14 fof(t2_xboole_1,lemma,
% 3.08/3.14 ! [A] : subset(empty_set,A) ).
% 3.08/3.14
% 3.08/3.14 fof(t30_relat_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( relation(C)
% 3.08/3.14 => ( in(ordered_pair(A,B),C)
% 3.08/3.14 => ( in(A,relation_field(C))
% 3.08/3.14 & in(B,relation_field(C)) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t31_ordinal1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( ! [B] :
% 3.08/3.14 ( in(B,A)
% 3.08/3.14 => ( ordinal(B)
% 3.08/3.14 & subset(B,A) ) )
% 3.08/3.14 => ordinal(A) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t32_ordinal1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( ordinal(B)
% 3.08/3.14 => ~ ( subset(A,B)
% 3.08/3.14 & A != empty_set
% 3.08/3.14 & ! [C] :
% 3.08/3.14 ( ordinal(C)
% 3.08/3.14 => ~ ( in(C,A)
% 3.08/3.14 & ! [D] :
% 3.08/3.14 ( ordinal(D)
% 3.08/3.14 => ( in(D,A)
% 3.08/3.14 => ordinal_subset(C,D) ) ) ) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t33_ordinal1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( ordinal(A)
% 3.08/3.14 => ! [B] :
% 3.08/3.14 ( ordinal(B)
% 3.08/3.14 => ( in(A,B)
% 3.08/3.14 <=> ordinal_subset(succ(A),B) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t33_xboole_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( subset(A,B)
% 3.08/3.14 => subset(set_difference(A,C),set_difference(B,C)) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t33_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B,C,D] :
% 3.08/3.14 ( ordered_pair(A,B) = ordered_pair(C,D)
% 3.08/3.14 => ( A = C
% 3.08/3.14 & B = D ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t34_funct_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( ( relation(B)
% 3.08/3.14 & function(B) )
% 3.08/3.14 => ( B = identity_relation(A)
% 3.08/3.14 <=> ( relation_dom(B) = A
% 3.08/3.14 & ! [C] :
% 3.08/3.14 ( in(C,A)
% 3.08/3.14 => apply(B,C) = C ) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t35_funct_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( in(B,A)
% 3.08/3.14 => apply(identity_relation(A),B) = B ) ).
% 3.08/3.14
% 3.08/3.14 fof(t36_xboole_1,lemma,
% 3.08/3.14 ! [A,B] : subset(set_difference(A,B),A) ).
% 3.08/3.14
% 3.08/3.14 fof(t37_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ( relation_rng(A) = relation_dom(relation_inverse(A))
% 3.08/3.14 & relation_dom(A) = relation_rng(relation_inverse(A)) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t37_xboole_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( set_difference(A,B) = empty_set
% 3.08/3.14 <=> subset(A,B) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t37_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( subset(singleton(A),B)
% 3.08/3.14 <=> in(A,B) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t38_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( subset(unordered_pair(A,B),C)
% 3.08/3.14 <=> ( in(A,C)
% 3.08/3.14 & in(B,C) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t39_xboole_1,lemma,
% 3.08/3.14 ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
% 3.08/3.14
% 3.08/3.14 fof(t39_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( subset(A,singleton(B))
% 3.08/3.14 <=> ( A = empty_set
% 3.08/3.14 | A = singleton(B) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t3_boole,axiom,
% 3.08/3.14 ! [A] : set_difference(A,empty_set) = A ).
% 3.08/3.14
% 3.08/3.14 fof(t3_ordinal1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ~ ( in(A,B)
% 3.08/3.14 & in(B,C)
% 3.08/3.14 & in(C,A) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t3_subset,axiom,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( element(A,powerset(B))
% 3.08/3.14 <=> subset(A,B) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t3_xboole_0,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( ~ ( ~ disjoint(A,B)
% 3.08/3.14 & ! [C] :
% 3.08/3.14 ~ ( in(C,A)
% 3.08/3.14 & in(C,B) ) )
% 3.08/3.14 & ~ ( ? [C] :
% 3.08/3.14 ( in(C,A)
% 3.08/3.14 & in(C,B) )
% 3.08/3.14 & disjoint(A,B) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t3_xboole_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( subset(A,empty_set)
% 3.08/3.14 => A = empty_set ) ).
% 3.08/3.14
% 3.08/3.14 fof(t40_xboole_1,lemma,
% 3.08/3.14 ! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
% 3.08/3.14
% 3.08/3.14 fof(t41_ordinal1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( ordinal(A)
% 3.08/3.14 => ( being_limit_ordinal(A)
% 3.08/3.14 <=> ! [B] :
% 3.08/3.14 ( ordinal(B)
% 3.08/3.14 => ( in(B,A)
% 3.08/3.14 => in(succ(B),A) ) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t42_ordinal1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( ordinal(A)
% 3.08/3.14 => ( ~ ( ~ being_limit_ordinal(A)
% 3.08/3.14 & ! [B] :
% 3.08/3.14 ( ordinal(B)
% 3.08/3.14 => A != succ(B) ) )
% 3.08/3.14 & ~ ( ? [B] :
% 3.08/3.14 ( ordinal(B)
% 3.08/3.14 & A = succ(B) )
% 3.08/3.14 & being_limit_ordinal(A) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t43_subset_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( element(B,powerset(A))
% 3.08/3.14 => ! [C] :
% 3.08/3.14 ( element(C,powerset(A))
% 3.08/3.14 => ( disjoint(B,C)
% 3.08/3.14 <=> subset(B,subset_complement(A,C)) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t44_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ! [B] :
% 3.08/3.14 ( relation(B)
% 3.08/3.14 => subset(relation_dom(relation_composition(A,B)),relation_dom(A)) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t45_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ! [B] :
% 3.08/3.14 ( relation(B)
% 3.08/3.14 => subset(relation_rng(relation_composition(A,B)),relation_rng(B)) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t45_xboole_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( subset(A,B)
% 3.08/3.14 => B = set_union2(A,set_difference(B,A)) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t46_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ! [B] :
% 3.08/3.14 ( relation(B)
% 3.08/3.14 => ( subset(relation_rng(A),relation_dom(B))
% 3.08/3.14 => relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t46_setfam_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( element(B,powerset(powerset(A)))
% 3.08/3.14 => ~ ( B != empty_set
% 3.08/3.14 & complements_of_subsets(A,B) = empty_set ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t46_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( in(A,B)
% 3.08/3.14 => set_union2(singleton(A),B) = B ) ).
% 3.08/3.14
% 3.08/3.14 fof(t47_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ! [B] :
% 3.08/3.14 ( relation(B)
% 3.08/3.14 => ( subset(relation_dom(A),relation_rng(B))
% 3.08/3.14 => relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t47_setfam_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( element(B,powerset(powerset(A)))
% 3.08/3.14 => ( B != empty_set
% 3.08/3.14 => subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B)) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t48_setfam_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( element(B,powerset(powerset(A)))
% 3.08/3.14 => ( B != empty_set
% 3.08/3.14 => union_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t48_xboole_1,lemma,
% 3.08/3.14 ! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
% 3.08/3.14
% 3.08/3.14 fof(t4_boole,axiom,
% 3.08/3.14 ! [A] : set_difference(empty_set,A) = empty_set ).
% 3.08/3.14
% 3.08/3.14 fof(t4_subset,axiom,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( ( in(A,B)
% 3.08/3.14 & element(B,powerset(C)) )
% 3.08/3.14 => element(A,C) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t4_xboole_0,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( ~ ( ~ disjoint(A,B)
% 3.08/3.14 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 3.08/3.14 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 3.08/3.14 & disjoint(A,B) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t50_subset_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( A != empty_set
% 3.08/3.14 => ! [B] :
% 3.08/3.14 ( element(B,powerset(A))
% 3.08/3.14 => ! [C] :
% 3.08/3.14 ( element(C,A)
% 3.08/3.14 => ( ~ in(C,B)
% 3.08/3.14 => in(C,subset_complement(A,B)) ) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t54_funct_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( ( relation(A)
% 3.08/3.14 & function(A) )
% 3.08/3.14 => ( one_to_one(A)
% 3.08/3.14 => ! [B] :
% 3.08/3.14 ( ( relation(B)
% 3.08/3.14 & function(B) )
% 3.08/3.14 => ( B = function_inverse(A)
% 3.08/3.14 <=> ( relation_dom(B) = relation_rng(A)
% 3.08/3.14 & ! [C,D] :
% 3.08/3.14 ( ( ( in(C,relation_rng(A))
% 3.08/3.14 & D = apply(B,C) )
% 3.08/3.14 => ( in(D,relation_dom(A))
% 3.08/3.14 & C = apply(A,D) ) )
% 3.08/3.14 & ( ( in(D,relation_dom(A))
% 3.08/3.14 & C = apply(A,D) )
% 3.08/3.14 => ( in(C,relation_rng(A))
% 3.08/3.14 & D = apply(B,C) ) ) ) ) ) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t54_subset_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( element(C,powerset(A))
% 3.08/3.14 => ~ ( in(B,subset_complement(A,C))
% 3.08/3.14 & in(B,C) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t55_funct_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( ( relation(A)
% 3.08/3.14 & function(A) )
% 3.08/3.14 => ( one_to_one(A)
% 3.08/3.14 => ( relation_rng(A) = relation_dom(function_inverse(A))
% 3.08/3.14 & relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t56_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ( ! [B,C] : ~ in(ordered_pair(B,C),A)
% 3.08/3.14 => A = empty_set ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t57_funct_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( ( relation(B)
% 3.08/3.14 & function(B) )
% 3.08/3.14 => ( ( one_to_one(B)
% 3.08/3.14 & in(A,relation_rng(B)) )
% 3.08/3.14 => ( A = apply(B,apply(function_inverse(B),A))
% 3.08/3.14 & A = apply(relation_composition(function_inverse(B),B),A) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t5_subset,axiom,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ~ ( in(A,B)
% 3.08/3.14 & element(B,powerset(C))
% 3.08/3.14 & empty(C) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t5_wellord1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ( well_founded_relation(A)
% 3.08/3.14 <=> is_well_founded_in(A,relation_field(A)) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t60_relat_1,lemma,
% 3.08/3.14 ( relation_dom(empty_set) = empty_set
% 3.08/3.14 & relation_rng(empty_set) = empty_set ) ).
% 3.08/3.14
% 3.08/3.14 fof(t60_xboole_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ~ ( subset(A,B)
% 3.08/3.14 & proper_subset(B,A) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t62_funct_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( ( relation(A)
% 3.08/3.14 & function(A) )
% 3.08/3.14 => ( one_to_one(A)
% 3.08/3.14 => one_to_one(function_inverse(A)) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t63_xboole_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( ( subset(A,B)
% 3.08/3.14 & disjoint(B,C) )
% 3.08/3.14 => disjoint(A,C) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t64_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ( ( relation_dom(A) = empty_set
% 3.08/3.14 | relation_rng(A) = empty_set )
% 3.08/3.14 => A = empty_set ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t65_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ( relation_dom(A) = empty_set
% 3.08/3.14 <=> relation_rng(A) = empty_set ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t65_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( set_difference(A,singleton(B)) = A
% 3.08/3.14 <=> ~ in(B,A) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t68_funct_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( ( relation(B)
% 3.08/3.14 & function(B) )
% 3.08/3.14 => ! [C] :
% 3.08/3.14 ( ( relation(C)
% 3.08/3.14 & function(C) )
% 3.08/3.14 => ( B = relation_dom_restriction(C,A)
% 3.08/3.14 <=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)
% 3.08/3.14 & ! [D] :
% 3.08/3.14 ( in(D,relation_dom(B))
% 3.08/3.14 => apply(B,D) = apply(C,D) ) ) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t69_enumset1,lemma,
% 3.08/3.14 ! [A] : unordered_pair(A,A) = singleton(A) ).
% 3.08/3.14
% 3.08/3.14 fof(t6_boole,axiom,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( empty(A)
% 3.08/3.14 => A = empty_set ) ).
% 3.08/3.14
% 3.08/3.14 fof(t6_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( subset(singleton(A),singleton(B))
% 3.08/3.14 => A = B ) ).
% 3.08/3.14
% 3.08/3.14 fof(t70_funct_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( ( relation(C)
% 3.08/3.14 & function(C) )
% 3.08/3.14 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 3.08/3.14 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t71_relat_1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation_dom(identity_relation(A)) = A
% 3.08/3.14 & relation_rng(identity_relation(A)) = A ) ).
% 3.08/3.14
% 3.08/3.14 fof(t72_funct_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( ( relation(C)
% 3.08/3.14 & function(C) )
% 3.08/3.14 => ( in(B,A)
% 3.08/3.14 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t74_relat_1,lemma,
% 3.08/3.14 ! [A,B,C,D] :
% 3.08/3.14 ( relation(D)
% 3.08/3.14 => ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))
% 3.08/3.14 <=> ( in(A,C)
% 3.08/3.14 & in(ordered_pair(A,B),D) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t7_boole,axiom,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ~ ( in(A,B)
% 3.08/3.14 & empty(B) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t7_tarski,axiom,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ~ ( in(A,B)
% 3.08/3.14 & ! [C] :
% 3.08/3.14 ~ ( in(C,B)
% 3.08/3.14 & ! [D] :
% 3.08/3.14 ~ ( in(D,B)
% 3.08/3.14 & in(D,C) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t7_xboole_1,lemma,
% 3.08/3.14 ! [A,B] : subset(A,set_union2(A,B)) ).
% 3.08/3.14
% 3.08/3.14 fof(t83_xboole_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( disjoint(A,B)
% 3.08/3.14 <=> set_difference(A,B) = A ) ).
% 3.08/3.14
% 3.08/3.14 fof(t86_relat_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( relation(C)
% 3.08/3.14 => ( in(A,relation_dom(relation_dom_restriction(C,B)))
% 3.08/3.14 <=> ( in(A,B)
% 3.08/3.14 & in(A,relation_dom(C)) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t88_relat_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( relation(B)
% 3.08/3.14 => subset(relation_dom_restriction(B,A),B) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t8_boole,axiom,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ~ ( empty(A)
% 3.08/3.14 & A != B
% 3.08/3.14 & empty(B) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t8_funct_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( ( relation(C)
% 3.08/3.14 & function(C) )
% 3.08/3.14 => ( in(ordered_pair(A,B),C)
% 3.08/3.14 <=> ( in(A,relation_dom(C))
% 3.08/3.14 & B = apply(C,A) ) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t8_wellord1,lemma,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ( relation(A)
% 3.08/3.14 => ( well_orders(A,relation_field(A))
% 3.08/3.14 <=> well_ordering(A) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t8_xboole_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( ( subset(A,B)
% 3.08/3.14 & subset(C,B) )
% 3.08/3.14 => subset(set_union2(A,C),B) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t8_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( singleton(A) = unordered_pair(B,C)
% 3.08/3.14 => A = B ) ).
% 3.08/3.14
% 3.08/3.14 fof(t90_relat_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( relation(B)
% 3.08/3.14 => relation_dom(relation_dom_restriction(B,A)) = set_intersection2(relation_dom(B),A) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t92_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( in(A,B)
% 3.08/3.14 => subset(A,union(B)) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t94_relat_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( relation(B)
% 3.08/3.14 => relation_dom_restriction(B,A) = relation_composition(identity_relation(A),B) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t99_relat_1,lemma,
% 3.08/3.14 ! [A,B] :
% 3.08/3.14 ( relation(B)
% 3.08/3.14 => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t99_zfmisc_1,lemma,
% 3.08/3.14 ! [A] : union(powerset(A)) = A ).
% 3.08/3.14
% 3.08/3.14 fof(t9_tarski,axiom,
% 3.08/3.14 ! [A] :
% 3.08/3.14 ? [B] :
% 3.08/3.14 ( in(A,B)
% 3.08/3.14 & ! [C,D] :
% 3.08/3.14 ( ( in(C,B)
% 3.08/3.14 & subset(D,C) )
% 3.08/3.14 => in(D,B) )
% 3.08/3.14 & ! [C] :
% 3.08/3.14 ~ ( in(C,B)
% 3.08/3.14 & ! [D] :
% 3.08/3.14 ~ ( in(D,B)
% 3.08/3.14 & ! [E] :
% 3.08/3.14 ( subset(E,C)
% 3.08/3.14 => in(E,D) ) ) )
% 3.08/3.14 & ! [C] :
% 3.08/3.14 ~ ( subset(C,B)
% 3.08/3.14 & ~ are_equipotent(C,B)
% 3.08/3.14 & ~ in(C,B) ) ) ).
% 3.08/3.14
% 3.08/3.14 fof(t9_zfmisc_1,lemma,
% 3.08/3.14 ! [A,B,C] :
% 3.08/3.14 ( singleton(A) = unordered_pair(B,C)
% 3.08/3.14 => B = C ) ).
% 3.08/3.14
% 3.08/3.14 %------------------------------------------------------------------------------
% 3.08/3.14 %-------------------------------------------
% 3.08/3.14 % Proof found
% 3.08/3.14 % SZS status Theorem for theBenchmark
% 3.08/3.14 % SZS output start Proof
% 3.08/3.14 %ClaNum:954(EqnAxiom:329)
% 3.08/3.14 %VarNum:4389(SingletonVarNum:1259)
% 3.08/3.14 %MaxLitNum:11
% 3.08/3.14 %MaxfuncDepth:4
% 3.08/3.14 %SharedTerms:68
% 3.08/3.14 %goalClause: 369 415
% 3.08/3.14 %singleGoalClaCount:2
% 3.08/3.14 [335]P1(a1)
% 3.08/3.14 [336]P1(a6)
% 3.08/3.14 [337]P1(a117)
% 3.08/3.14 [338]P1(a120)
% 3.08/3.14 [339]P1(a121)
% 3.08/3.14 [340]P8(a1)
% 3.08/3.14 [341]P8(a7)
% 3.08/3.14 [342]P8(a120)
% 3.08/3.14 [343]P8(a121)
% 3.08/3.14 [344]P8(a122)
% 3.08/3.14 [345]P8(a8)
% 3.08/3.14 [346]P11(a1)
% 3.08/3.14 [347]P11(a116)
% 3.08/3.14 [348]P11(a121)
% 3.08/3.14 [349]P11(a126)
% 3.08/3.14 [350]P9(a1)
% 3.08/3.14 [351]P9(a116)
% 3.08/3.14 [352]P9(a121)
% 3.08/3.14 [353]P9(a126)
% 3.08/3.14 [354]P10(a1)
% 3.08/3.14 [355]P10(a116)
% 3.08/3.14 [356]P10(a121)
% 3.08/3.14 [357]P10(a126)
% 3.08/3.14 [360]P19(a1)
% 3.08/3.14 [361]P19(a7)
% 3.08/3.14 [362]P19(a6)
% 3.08/3.14 [363]P19(a120)
% 3.08/3.14 [364]P19(a121)
% 3.08/3.14 [365]P19(a123)
% 3.08/3.14 [366]P19(a122)
% 3.08/3.14 [367]P19(a127)
% 3.08/3.14 [368]P19(a8)
% 3.08/3.14 [369]P19(a9)
% 3.08/3.14 [370]P12(a1)
% 3.08/3.14 [371]P12(a121)
% 3.08/3.14 [372]P12(a122)
% 3.08/3.14 [374]P23(a1)
% 3.08/3.14 [375]P23(a127)
% 3.08/3.14 [376]P23(a8)
% 3.08/3.14 [407]~P1(a123)
% 3.08/3.14 [408]~P1(a125)
% 3.08/3.14 [409]~P1(a126)
% 3.08/3.14 [330]E(f5(a1),a1)
% 3.08/3.14 [331]E(f135(a1),a1)
% 3.08/3.14 [388]E(f149(a1,a1),f132(a1))
% 3.08/3.14 [415]~E(f144(a11,f136(a9,a11)),f137(a9,a11))
% 3.08/3.14 [385]P24(a1,x3851)
% 3.08/3.14 [389]P24(x3891,x3891)
% 3.08/3.14 [412]~P20(x4121,x4121)
% 3.08/3.14 [377]P1(f124(x3771))
% 3.08/3.14 [378]P8(f128(x3781))
% 3.08/3.14 [380]P19(f128(x3801))
% 3.08/3.14 [384]E(f143(a1,x3841),a1)
% 3.08/3.14 [386]E(f145(x3861,a1),x3861)
% 3.08/3.14 [387]E(f143(x3871,a1),x3871)
% 3.08/3.14 [390]E(f145(x3901,x3901),x3901)
% 3.08/3.14 [391]P13(x3911,f10(x3911))
% 3.08/3.14 [392]P13(x3921,f14(x3921))
% 3.08/3.14 [393]P2(x3931,f132(x3931))
% 3.08/3.14 [394]P2(f33(x3941),x3941)
% 3.08/3.14 [395]P2(f124(x3951),f132(x3951))
% 3.08/3.14 [410]~P1(f132(x4101))
% 3.08/3.14 [411]~E(f149(x4111,x4111),a1)
% 3.08/3.14 [381]E(f5(f128(x3811)),x3811)
% 3.08/3.14 [382]E(f142(f132(x3821)),x3821)
% 3.08/3.14 [383]E(f135(f128(x3831)),x3831)
% 3.08/3.14 [398]E(f143(x3981,f143(x3981,a1)),a1)
% 3.08/3.14 [401]E(f143(x4011,f143(x4011,x4011)),x4011)
% 3.08/3.14 [405]P13(x4051,f145(x4051,f149(x4051,x4051)))
% 3.08/3.14 [416]~P1(f145(x4161,f149(x4161,x4161)))
% 3.08/3.14 [396]E(f149(x3961,x3962),f149(x3962,x3961))
% 3.08/3.14 [397]E(f145(x3971,x3972),f145(x3972,x3971))
% 3.08/3.14 [399]P24(x3991,f145(x3991,x3992))
% 3.08/3.14 [400]P24(f143(x4001,x4002),x4001)
% 3.08/3.14 [413]~P1(f149(x4131,x4132))
% 3.08/3.14 [402]E(f145(x4021,f143(x4022,x4021)),f145(x4021,x4022))
% 3.08/3.14 [403]E(f143(f145(x4031,x4032),x4032),f143(x4031,x4032))
% 3.08/3.14 [404]E(f143(x4041,f143(x4041,x4042)),f143(x4042,f143(x4042,x4041)))
% 3.08/3.14 [418]~P1(x4181)+E(x4181,a1)
% 3.08/3.14 [420]~P1(x4201)+P8(x4201)
% 3.08/3.14 [421]~P1(x4211)+P11(x4211)
% 3.08/3.14 [422]~P1(x4221)+P9(x4221)
% 3.08/3.14 [424]~P11(x4241)+P9(x4241)
% 3.08/3.14 [425]~P1(x4251)+P10(x4251)
% 3.08/3.14 [427]~P11(x4271)+P10(x4271)
% 3.08/3.14 [428]~P1(x4281)+P19(x4281)
% 3.08/3.14 [462]~P24(x4621,a1)+E(x4621,a1)
% 3.08/3.14 [430]~P3(x4301)+E(f142(x4301),x4301)
% 3.08/3.14 [431]P3(x4311)+~E(f142(x4311),x4311)
% 3.08/3.14 [435]P10(x4351)+~E(f34(x4351),f35(x4351))
% 3.08/3.14 [436]~P1(x4361)+P1(f5(x4361))
% 3.08/3.14 [437]~P1(x4371)+P1(f135(x4371))
% 3.08/3.14 [438]~P1(x4381)+P1(f138(x4381))
% 3.08/3.14 [439]~P11(x4391)+P11(f142(x4391))
% 3.08/3.14 [440]~P11(x4401)+P9(f142(x4401))
% 3.08/3.14 [441]~P11(x4411)+P10(f142(x4411))
% 3.08/3.14 [442]~P1(x4421)+P19(f5(x4421))
% 3.08/3.14 [443]~P1(x4431)+P19(f135(x4431))
% 3.08/3.14 [444]~P1(x4441)+P19(f138(x4441))
% 3.08/3.14 [445]~P19(x4451)+P19(f138(x4451))
% 3.08/3.14 [459]P1(x4591)+~P1(f118(x4591))
% 3.08/3.14 [463]P13(f37(x4631),x4631)+E(x4631,a1)
% 3.08/3.14 [470]P11(x4701)+P13(f16(x4701),x4701)
% 3.08/3.14 [471]P9(x4711)+P13(f54(x4711),x4711)
% 3.08/3.14 [472]P10(x4721)+P13(f35(x4721),x4721)
% 3.08/3.14 [473]P10(x4731)+P13(f34(x4731),x4731)
% 3.08/3.14 [474]P19(x4741)+P13(f38(x4741),x4741)
% 3.08/3.14 [485]P1(x4851)+P2(f118(x4851),f132(x4851))
% 3.08/3.14 [502]P9(x5021)+~P24(f54(x5021),x5021)
% 3.08/3.14 [570]P10(x5701)+~P13(f35(x5701),f34(x5701))
% 3.08/3.14 [571]P10(x5711)+~P13(f34(x5711),f35(x5711))
% 3.08/3.14 [448]~P19(x4481)+E(f138(f138(x4481)),x4481)
% 3.08/3.14 [460]~P19(x4601)+E(f135(f138(x4601)),f5(x4601))
% 3.08/3.14 [461]~P19(x4611)+E(f5(f138(x4611)),f135(x4611))
% 3.08/3.14 [486]~P19(x4861)+E(f139(x4861,f5(x4861)),f135(x4861))
% 3.08/3.14 [513]~P19(x5131)+E(f145(f5(x5131),f135(x5131)),f140(x5131))
% 3.08/3.14 [652]~P19(x6521)+P24(x6521,f3(f5(x6521),f135(x6521)))
% 3.08/3.14 [693]~P11(x6931)+P11(f145(x6931,f149(x6931,x6931)))
% 3.08/3.14 [694]~P11(x6941)+P9(f145(x6941,f149(x6941,x6941)))
% 3.08/3.14 [695]~P11(x6951)+P10(f145(x6951,f149(x6951,x6951)))
% 3.08/3.14 [447]~E(x4471,x4472)+P24(x4471,x4472)
% 3.08/3.14 [475]~P13(x4752,x4751)+~E(x4751,a1)
% 3.08/3.14 [477]~P20(x4771,x4772)+~E(x4771,x4772)
% 3.08/3.14 [484]~P1(x4841)+~P13(x4842,x4841)
% 3.08/3.14 [507]~P20(x5071,x5072)+P24(x5071,x5072)
% 3.08/3.14 [508]~P13(x5081,x5082)+P2(x5081,x5082)
% 3.08/3.14 [509]~P7(x5092,x5091)+P7(x5091,x5092)
% 3.08/3.14 [562]~P13(x5622,x5621)+~P13(x5621,x5622)
% 3.08/3.14 [563]~P20(x5632,x5631)+~P20(x5631,x5632)
% 3.08/3.14 [564]~P24(x5642,x5641)+~P20(x5641,x5642)
% 3.08/3.14 [504]~P24(x5041,x5042)+E(f143(x5041,x5042),a1)
% 3.08/3.14 [506]P24(x5061,x5062)+~E(f143(x5061,x5062),a1)
% 3.08/3.14 [510]~P19(x5101)+P19(f136(x5101,x5102))
% 3.08/3.14 [511]~P19(x5112)+P19(f144(x5111,x5112))
% 3.08/3.14 [512]~P19(x5121)+P19(f137(x5121,x5122))
% 3.08/3.14 [514]~P24(x5141,x5142)+E(f145(x5141,x5142),x5142)
% 3.08/3.14 [515]~P7(x5151,x5152)+E(f143(x5151,x5152),x5151)
% 3.08/3.14 [516]P7(x5161,x5162)+~E(f143(x5161,x5162),x5161)
% 3.08/3.14 [530]~E(x5301,a1)+P24(x5301,f149(x5302,x5302))
% 3.08/3.14 [532]~P13(x5321,x5322)+P24(x5321,f142(x5322))
% 3.08/3.14 [533]~P24(x5331,x5332)+P2(x5331,f132(x5332))
% 3.08/3.14 [574]P24(x5741,x5742)+~P2(x5741,f132(x5742))
% 3.08/3.14 [575]~P19(x5751)+P24(f136(x5751,x5752),x5751)
% 3.08/3.14 [576]~P19(x5762)+P24(f144(x5761,x5762),x5762)
% 3.08/3.14 [585]P1(x5851)+~P1(f145(x5852,x5851))
% 3.08/3.14 [586]P1(x5861)+~P1(f145(x5861,x5862))
% 3.08/3.14 [589]~P19(x5891)+P24(f139(x5891,x5892),f135(x5891))
% 3.08/3.14 [590]~P19(x5901)+P24(f141(x5901,x5902),f5(x5901))
% 3.08/3.14 [592]P13(x5921,x5922)+P7(f149(x5921,x5921),x5922)
% 3.08/3.14 [593]P24(x5931,x5932)+P13(f70(x5931,x5932),x5931)
% 3.08/3.14 [594]P7(x5941,x5942)+P13(f18(x5941,x5942),x5942)
% 3.08/3.14 [595]P7(x5951,x5952)+P13(f18(x5951,x5952),x5951)
% 3.08/3.14 [598]P13(f132(x5981),f10(x5982))+~P13(x5981,f10(x5982))
% 3.08/3.14 [606]~P2(x6062,f132(x6061))+E(f147(x6061,x6062),f143(x6061,x6062))
% 3.08/3.14 [608]P13(f115(x6081,x6082),x6081)+P2(x6081,f132(x6082))
% 3.08/3.14 [625]~P13(x6251,x6252)+P13(f23(x6251,x6252),x6252)
% 3.08/3.14 [627]~P13(x6271,x6272)+P24(f149(x6271,x6271),x6272)
% 3.08/3.14 [666]P24(x6661,x6662)+~P13(f70(x6661,x6662),x6662)
% 3.08/3.14 [667]~P13(x6672,f14(x6671))+P13(f39(x6671,x6672),f14(x6671))
% 3.08/3.14 [668]~P2(x6682,f132(x6681))+P2(f147(x6681,x6682),f132(x6681))
% 3.08/3.14 [676]~P13(f115(x6761,x6762),x6762)+P2(x6761,f132(x6762))
% 3.08/3.14 [684]~P13(x6841,x6842)+~P7(f149(x6841,x6841),x6842)
% 3.08/3.14 [718]E(x7181,x7182)+~P24(f149(x7181,x7181),f149(x7182,x7182))
% 3.08/3.14 [522]~P19(x5222)+E(f134(f128(x5221),x5222),f136(x5222,x5221))
% 3.08/3.14 [535]~P13(x5352,x5351)+E(f2(f128(x5351),x5352),x5352)
% 3.08/3.14 [596]P13(x5962,x5961)+E(f143(x5961,f149(x5962,x5962)),x5961)
% 3.08/3.14 [612]~P19(x6122)+E(f136(f144(x6121,x6122),x6121),f137(x6122,x6121))
% 3.08/3.14 [624]~P7(x6241,x6242)+E(f143(x6241,f143(x6241,x6242)),a1)
% 3.08/3.14 [631]~P24(x6311,x6312)+E(f145(x6311,f143(x6312,x6311)),x6312)
% 3.08/3.14 [632]~P24(x6321,x6322)+E(f143(x6321,f143(x6321,x6322)),x6321)
% 3.08/3.14 [634]~P13(x6341,x6342)+E(f145(f149(x6341,x6341),x6342),x6342)
% 3.08/3.14 [647]E(f150(x6471,x6472),f142(x6472))+~P2(x6472,f132(f132(x6471)))
% 3.08/3.14 [648]E(f133(x6481,x6482),f146(x6482))+~P2(x6482,f132(f132(x6481)))
% 3.08/3.14 [653]~P2(x6532,f132(x6531))+E(f147(x6531,f147(x6531,x6532)),x6532)
% 3.08/3.14 [661]P7(x6611,x6612)+~E(f143(x6611,f143(x6611,x6612)),a1)
% 3.08/3.14 [669]~P19(x6692)+P24(f135(f144(x6691,x6692)),x6691)
% 3.08/3.14 [678]~P19(x6781)+P24(f135(f136(x6781,x6782)),f135(x6781))
% 3.08/3.14 [679]~P19(x6792)+P24(f135(f144(x6791,x6792)),f135(x6792))
% 3.08/3.14 [687]~P13(x6872,x6871)+~E(f143(x6871,f149(x6872,x6872)),x6871)
% 3.08/3.14 [699]~P2(x6992,f132(f132(x6991)))+E(f4(x6991,f4(x6991,x6992)),x6992)
% 3.08/3.14 [708]P2(f150(x7081,x7082),f132(x7081))+~P2(x7082,f132(f132(x7081)))
% 3.08/3.14 [709]P2(f133(x7091,x7092),f132(x7091))+~P2(x7092,f132(f132(x7091)))
% 3.08/3.14 [724]~P2(x7242,f132(f132(x7241)))+P2(f4(x7241,x7242),f132(f132(x7241)))
% 3.08/3.14 [752]P7(x7521,x7522)+P13(f24(x7521,x7522),f143(x7521,f143(x7521,x7522)))
% 3.08/3.14 [704]~P19(x7041)+E(f143(f5(x7041),f143(f5(x7041),x7042)),f5(f136(x7041,x7042)))
% 3.08/3.14 [705]~P19(x7051)+E(f143(f135(x7051),f143(f135(x7051),x7052)),f135(f144(x7052,x7051)))
% 3.08/3.14 [731]~P19(x7311)+E(f143(x7311,f143(x7311,f3(x7312,x7312))),f137(x7311,x7312))
% 3.08/3.14 [775]~P19(x7751)+E(f139(x7751,f143(f5(x7751),f143(f5(x7751),x7752))),f139(x7751,x7752))
% 3.08/3.14 [572]E(x5721,x5722)+~E(f149(x5723,x5723),f149(x5721,x5722))
% 3.08/3.14 [573]E(x5731,x5732)+~E(f149(x5731,x5731),f149(x5732,x5733))
% 3.08/3.14 [662]P13(x6621,x6622)+~P24(f149(x6623,x6621),x6622)
% 3.08/3.14 [663]P13(x6631,x6632)+~P24(f149(x6631,x6633),x6632)
% 3.08/3.14 [690]~P24(x6901,x6903)+P24(f3(x6901,x6902),f3(x6903,x6902))
% 3.08/3.14 [691]~P24(x6912,x6913)+P24(f3(x6911,x6912),f3(x6911,x6913))
% 3.08/3.14 [692]~P24(x6921,x6923)+P24(f143(x6921,x6922),f143(x6923,x6922))
% 3.08/3.14 [686]~P19(x6862)+E(f144(x6861,f136(x6862,x6863)),f136(f144(x6861,x6862),x6863))
% 3.08/3.14 [735]P19(x7351)+~E(f38(x7351),f149(f149(x7352,x7353),f149(x7352,x7352)))
% 3.08/3.14 [785]~P7(x7851,x7852)+~P13(x7853,f143(x7851,f143(x7851,x7852)))
% 3.08/3.14 [801]~P24(x8011,x8013)+P24(f143(x8011,f143(x8011,x8012)),f143(x8013,f143(x8013,x8012)))
% 3.08/3.14 [806]E(x8061,x8062)+~E(f149(f149(x8063,x8061),f149(x8063,x8063)),f149(f149(x8064,x8062),f149(x8064,x8064)))
% 3.08/3.14 [807]E(x8071,x8072)+~E(f149(f149(x8071,x8073),f149(x8071,x8071)),f149(f149(x8072,x8074),f149(x8072,x8072)))
% 3.08/3.14 [850]P13(x8501,x8502)+~P13(f149(f149(x8503,x8501),f149(x8503,x8503)),f3(x8504,x8502))
% 3.08/3.14 [852]P13(x8521,x8522)+~P13(f149(f149(x8521,x8523),f149(x8521,x8521)),f3(x8522,x8524))
% 3.08/3.14 [453]~P9(x4531)+~P10(x4531)+P11(x4531)
% 3.08/3.14 [454]~P19(x4541)+~P27(x4541)+P4(x4541)
% 3.08/3.14 [455]~P19(x4551)+~P27(x4551)+P6(x4551)
% 3.08/3.14 [456]~P19(x4561)+~P27(x4561)+P26(x4561)
% 3.08/3.14 [457]~P19(x4571)+~P27(x4571)+P25(x4571)
% 3.08/3.14 [458]~P19(x4581)+~P27(x4581)+P22(x4581)
% 3.08/3.14 [432]~P19(x4321)+E(x4321,a1)+~E(f5(x4321),a1)
% 3.08/3.14 [433]~P19(x4331)+E(x4331,a1)+~E(f135(x4331),a1)
% 3.08/3.14 [449]~P19(x4491)+~E(f135(x4491),a1)+E(f5(x4491),a1)
% 3.08/3.14 [450]~P19(x4501)+~E(f5(x4501),a1)+E(f135(x4501),a1)
% 3.08/3.14 [451]~P19(x4511)+P25(x4511)+~E(f36(x4511),a1)
% 3.08/3.14 [464]~P11(x4641)+P3(x4641)+P11(f15(x4641))
% 3.08/3.14 [465]~P11(x4651)+P3(x4651)+P11(f22(x4651))
% 3.08/3.14 [466]~P19(x4661)+P4(x4661)+~E(f106(x4661),f107(x4661))
% 3.08/3.14 [467]~P19(x4671)+P6(x4671)+~E(f113(x4671),f114(x4671))
% 3.08/3.14 [468]~P8(x4681)+~P19(x4681)+P8(f129(x4681))
% 3.08/3.14 [469]~P8(x4691)+~P19(x4691)+P19(f129(x4691))
% 3.08/3.14 [479]~P19(x4791)+P1(x4791)+~P1(f5(x4791))
% 3.08/3.14 [480]~P19(x4801)+P1(x4801)+~P1(f135(x4801))
% 3.08/3.14 [491]~P11(x4911)+P3(x4911)+P13(f15(x4911),x4911)
% 3.08/3.14 [494]~P19(x4941)+~P4(x4941)+P14(x4941,f140(x4941))
% 3.08/3.14 [495]~P19(x4951)+~P6(x4951)+P15(x4951,f140(x4951))
% 3.08/3.14 [496]~P19(x4961)+~P26(x4961)+P16(x4961,f140(x4961))
% 3.08/3.14 [497]~P19(x4971)+~P22(x4971)+P17(x4971,f140(x4971))
% 3.08/3.14 [498]~P19(x4981)+~P25(x4981)+P18(x4981,f140(x4981))
% 3.08/3.14 [499]~P19(x4991)+~P27(x4991)+P28(x4991,f140(x4991))
% 3.08/3.14 [517]~P19(x5171)+P6(x5171)+P13(f114(x5171),f140(x5171))
% 3.08/3.14 [518]~P19(x5181)+P6(x5181)+P13(f113(x5181),f140(x5181))
% 3.08/3.14 [519]~P19(x5191)+P25(x5191)+P24(f36(x5191),f140(x5191))
% 3.08/3.14 [520]~P19(x5201)+P22(x5201)+P13(f108(x5201),f140(x5201))
% 3.08/3.14 [536]~P19(x5361)+P4(x5361)+~P14(x5361,f140(x5361))
% 3.08/3.14 [537]~P19(x5371)+P6(x5371)+~P15(x5371,f140(x5371))
% 3.08/3.14 [538]~P19(x5381)+P26(x5381)+~P16(x5381,f140(x5381))
% 3.08/3.14 [539]~P19(x5391)+P25(x5391)+~P18(x5391,f140(x5391))
% 3.08/3.14 [540]~P19(x5401)+P27(x5401)+~P28(x5401,f140(x5401))
% 3.08/3.14 [541]~P19(x5411)+P22(x5411)+~P17(x5411,f140(x5411))
% 3.08/3.14 [591]P11(x5911)+~P24(f16(x5911),x5911)+~P11(f16(x5911))
% 3.08/3.14 [674]P3(x6741)+~P11(x6741)+E(f145(f22(x6741),f149(f22(x6741),f22(x6741))),x6741)
% 3.08/3.14 [819]~P19(x8191)+E(x8191,a1)+P13(f149(f149(f29(x8191),f30(x8191)),f149(f29(x8191),f29(x8191))),x8191)
% 3.08/3.14 [820]~P11(x8201)+P3(x8201)+~P13(f145(f15(x8201),f149(f15(x8201),f15(x8201))),x8201)
% 3.08/3.14 [821]~P19(x8211)+P4(x8211)+P13(f149(f149(f107(x8211),f106(x8211)),f149(f107(x8211),f107(x8211))),x8211)
% 3.08/3.14 [822]~P19(x8221)+P4(x8221)+P13(f149(f149(f106(x8221),f107(x8221)),f149(f106(x8221),f106(x8221))),x8221)
% 3.08/3.14 [823]~P19(x8231)+P26(x8231)+P13(f149(f149(f109(x8231),f110(x8231)),f149(f109(x8231),f109(x8231))),x8231)
% 3.08/3.14 [824]~P19(x8241)+P26(x8241)+P13(f149(f149(f110(x8241),f112(x8241)),f149(f110(x8241),f110(x8241))),x8241)
% 3.08/3.14 [872]~P19(x8721)+P6(x8721)+~P13(f149(f149(f114(x8721),f113(x8721)),f149(f114(x8721),f114(x8721))),x8721)
% 3.08/3.14 [873]~P19(x8731)+P6(x8731)+~P13(f149(f149(f113(x8731),f114(x8731)),f149(f113(x8731),f113(x8731))),x8731)
% 3.08/3.14 [874]~P19(x8741)+P26(x8741)+~P13(f149(f149(f109(x8741),f112(x8741)),f149(f109(x8741),f109(x8741))),x8741)
% 3.08/3.14 [875]~P19(x8751)+P22(x8751)+~P13(f149(f149(f108(x8751),f108(x8751)),f149(f108(x8751),f108(x8751))),x8751)
% 3.08/3.14 [434]~P1(x4342)+~P1(x4341)+E(x4341,x4342)
% 3.08/3.14 [481]~P11(x4811)+P21(x4811,x4811)+~P11(x4812)
% 3.08/3.14 [482]~P1(x4822)+~P1(x4821)+P2(x4821,x4822)
% 3.08/3.14 [492]~P2(x4921,x4922)+P1(x4921)+~P1(x4922)
% 3.08/3.14 [493]~P13(x4931,x4932)+P11(x4931)+~P11(x4932)
% 3.08/3.14 [521]P20(x5211,x5212)+~P24(x5211,x5212)+E(x5211,x5212)
% 3.08/3.14 [524]~P2(x5242,x5241)+P1(x5241)+P13(x5242,x5241)
% 3.08/3.14 [543]~P9(x5432)+~P13(x5431,x5432)+P24(x5431,x5432)
% 3.08/3.14 [544]~P19(x5441)+~P28(x5441,x5442)+P14(x5441,x5442)
% 3.08/3.14 [545]~P19(x5451)+~P28(x5451,x5452)+P15(x5451,x5452)
% 3.08/3.14 [546]~P19(x5461)+~P28(x5461,x5462)+P16(x5461,x5462)
% 3.08/3.14 [547]~P19(x5471)+~P28(x5471,x5472)+P17(x5471,x5472)
% 3.08/3.14 [548]~P19(x5481)+~P28(x5481,x5482)+P18(x5481,x5482)
% 3.08/3.14 [578]~P24(x5782,x5781)+~P24(x5781,x5782)+E(x5781,x5782)
% 3.08/3.14 [419]~E(x4192,a1)+~E(x4191,a1)+E(x4191,f146(x4192))
% 3.08/3.14 [429]~E(x4291,f146(x4292))+E(x4291,a1)+~E(x4292,a1)
% 3.08/3.14 [542]~P19(x5421)+P18(x5421,x5422)+~E(f69(x5421,x5422),a1)
% 3.08/3.14 [549]~P1(x5492)+~P19(x5491)+P1(f134(x5491,x5492))
% 3.08/3.14 [550]~P1(x5501)+~P19(x5502)+P1(f134(x5501,x5502))
% 3.08/3.14 [551]~P8(x5511)+~P19(x5511)+P8(f136(x5511,x5512))
% 3.08/3.14 [552]~P8(x5522)+~P19(x5522)+P8(f144(x5521,x5522))
% 3.08/3.14 [553]~P19(x5532)+~P19(x5531)+P19(f145(x5531,x5532))
% 3.08/3.14 [557]~P19(x5572)+~P19(x5571)+P19(f143(x5571,x5572))
% 3.08/3.14 [558]~P1(x5582)+~P19(x5581)+P19(f134(x5581,x5582))
% 3.08/3.14 [559]~P1(x5591)+~P19(x5592)+P19(f134(x5591,x5592))
% 3.08/3.14 [560]~P19(x5602)+~P19(x5601)+P19(f134(x5601,x5602))
% 3.08/3.14 [561]~P19(x5611)+~P23(x5611)+P23(f136(x5611,x5612))
% 3.08/3.14 [597]P1(x5971)+P1(x5972)+~P1(f3(x5972,x5971))
% 3.08/3.14 [614]~P19(x6141)+P14(x6141,x6142)+P13(f74(x6141,x6142),x6142)
% 3.08/3.14 [615]~P19(x6151)+P14(x6151,x6152)+P13(f80(x6151,x6152),x6152)
% 3.08/3.14 [616]~P19(x6161)+P15(x6161,x6162)+P13(f81(x6161,x6162),x6162)
% 3.08/3.14 [617]~P19(x6171)+P15(x6171,x6172)+P13(f93(x6171,x6172),x6172)
% 3.08/3.14 [618]~P19(x6181)+P16(x6181,x6182)+P13(f97(x6181,x6182),x6182)
% 3.08/3.14 [619]~P19(x6191)+P16(x6191,x6192)+P13(f103(x6191,x6192),x6192)
% 3.08/3.14 [620]~P19(x6201)+P16(x6201,x6202)+P13(f104(x6201,x6202),x6202)
% 3.08/3.14 [621]~P19(x6211)+P17(x6211,x6212)+P13(f49(x6211,x6212),x6212)
% 3.08/3.14 [622]~P19(x6221)+P18(x6221,x6222)+P24(f69(x6221,x6222),x6222)
% 3.08/3.14 [638]~P19(x6381)+P14(x6381,x6382)+~E(f80(x6381,x6382),f74(x6381,x6382))
% 3.08/3.14 [639]~P19(x6391)+P15(x6391,x6392)+~E(f93(x6391,x6392),f81(x6391,x6392))
% 3.08/3.14 [650]E(f50(x6502,x6501),x6502)+P13(f50(x6502,x6501),x6501)+E(x6501,f149(x6502,x6502))
% 3.08/3.14 [654]P13(x6541,f10(x6542))+P5(x6541,f10(x6542))+~P24(x6541,f10(x6542))
% 3.08/3.14 [655]P13(x6551,f14(x6552))+P5(x6551,f14(x6552))+~P24(x6551,f14(x6552))
% 3.08/3.14 [671]E(x6711,f149(x6712,x6712))+~P24(x6711,f149(x6712,x6712))+E(x6711,a1)
% 3.08/3.14 [673]E(x6731,x6732)+P13(f17(x6731,x6732),x6732)+P13(f17(x6731,x6732),x6731)
% 3.08/3.14 [682]P13(f55(x6822,x6821),x6821)+P24(f55(x6822,x6821),x6822)+E(x6821,f132(x6822))
% 3.08/3.14 [683]P13(f82(x6832,x6831),x6831)+P13(f84(x6832,x6831),x6832)+E(x6831,f142(x6832))
% 3.08/3.14 [714]~E(f50(x7142,x7141),x7142)+~P13(f50(x7142,x7141),x7141)+E(x7141,f149(x7142,x7142))
% 3.08/3.14 [730]P13(f82(x7302,x7301),x7301)+P13(f82(x7302,x7301),f84(x7302,x7301))+E(x7301,f142(x7302))
% 3.08/3.14 [746]E(x7461,x7462)+~P13(f17(x7461,x7462),x7462)+~P13(f17(x7461,x7462),x7461)
% 3.08/3.14 [751]~P13(f55(x7512,x7511),x7511)+~P24(f55(x7512,x7511),x7512)+E(x7511,f132(x7512))
% 3.08/3.14 [637]~P19(x6372)+~P19(x6371)+E(f135(f134(x6371,x6372)),f139(x6372,f135(x6371)))
% 3.08/3.14 [660]E(x6601,a1)+~P2(x6601,f132(f132(x6602)))+~E(f4(x6602,x6601),a1)
% 3.08/3.14 [700]~P19(x7002)+~P19(x7001)+P24(f5(f134(x7001,x7002)),f5(x7001))
% 3.08/3.14 [701]~P19(x7012)+~P19(x7011)+P24(f135(f134(x7011,x7012)),f135(x7012))
% 3.08/3.14 [707]~P19(x7072)+~P19(x7071)+P19(f143(x7071,f143(x7071,x7072)))
% 3.08/3.14 [719]~P8(x7191)+~P19(x7191)+P24(f139(x7191,f141(x7191,x7192)),x7192)
% 3.08/3.14 [749]~P19(x7492)+~P24(x7491,f5(x7492))+P24(x7491,f141(x7492,f139(x7492,x7491)))
% 3.08/3.14 [787]E(x7871,a1)+~P2(x7871,f132(f132(x7872)))+E(f148(x7872,x7872,f133(x7872,x7871)),f150(x7872,f4(x7872,x7871)))
% 3.08/3.14 [788]E(x7881,a1)+~P2(x7881,f132(f132(x7882)))+E(f148(x7882,x7882,f150(x7882,x7881)),f133(x7882,f4(x7882,x7881)))
% 3.08/3.14 [860]~P19(x8601)+~P13(x8602,x8601)+E(f149(f149(f45(x8601,x8602),f47(x8601,x8602)),f149(f45(x8601,x8602),f45(x8601,x8602))),x8602)
% 3.08/3.14 [902]~P19(x9021)+P14(x9021,x9022)+P13(f149(f149(f74(x9021,x9022),f80(x9021,x9022)),f149(f74(x9021,x9022),f74(x9021,x9022))),x9021)
% 3.08/3.14 [903]~P19(x9031)+P14(x9031,x9032)+P13(f149(f149(f80(x9031,x9032),f74(x9031,x9032)),f149(f80(x9031,x9032),f80(x9031,x9032))),x9031)
% 3.08/3.14 [904]~P19(x9041)+P16(x9041,x9042)+P13(f149(f149(f97(x9041,x9042),f103(x9041,x9042)),f149(f97(x9041,x9042),f97(x9041,x9042))),x9041)
% 3.08/3.14 [905]~P19(x9051)+P16(x9051,x9052)+P13(f149(f149(f103(x9051,x9052),f104(x9051,x9052)),f149(f103(x9051,x9052),f103(x9051,x9052))),x9051)
% 3.08/3.14 [920]~P19(x9201)+P15(x9201,x9202)+~P13(f149(f149(f81(x9201,x9202),f93(x9201,x9202)),f149(f81(x9201,x9202),f81(x9201,x9202))),x9201)
% 3.08/3.14 [921]~P19(x9211)+P15(x9211,x9212)+~P13(f149(f149(f93(x9211,x9212),f81(x9211,x9212)),f149(f93(x9211,x9212),f93(x9211,x9212))),x9211)
% 3.08/3.14 [922]~P19(x9221)+P16(x9221,x9222)+~P13(f149(f149(f97(x9221,x9222),f104(x9221,x9222)),f149(f97(x9221,x9222),f97(x9221,x9222))),x9221)
% 3.08/3.14 [923]~P19(x9231)+P17(x9231,x9232)+~P13(f149(f149(f49(x9231,x9232),f49(x9231,x9232)),f149(f49(x9231,x9232),f49(x9231,x9232))),x9231)
% 3.08/3.14 [602]~P24(x6023,x6022)+P13(x6021,x6022)+~P13(x6021,x6023)
% 3.08/3.14 [603]~P24(x6031,x6033)+P24(x6031,x6032)+~P24(x6033,x6032)
% 3.08/3.14 [604]~P7(x6043,x6042)+P7(x6041,x6042)+~P24(x6041,x6043)
% 3.08/3.14 [640]~P13(x6402,x6403)+~P13(x6401,x6402)+~P13(x6403,x6401)
% 3.08/3.14 [641]~P7(x6413,x6412)+~P13(x6411,x6412)+~P13(x6411,x6413)
% 3.08/3.14 [565]~P24(x5651,x5653)+P13(x5651,x5652)+~E(x5652,f132(x5653))
% 3.08/3.14 [566]~P13(x5661,x5663)+P24(x5661,x5662)+~E(x5663,f132(x5662))
% 3.08/3.14 [580]~P13(x5801,x5803)+E(x5801,x5802)+~E(x5803,f149(x5802,x5802))
% 3.08/3.14 [623]~P1(x6231)+~P13(x6232,x6233)+~P2(x6233,f132(x6231))
% 3.08/3.14 [645]P13(x6451,x6452)+~P13(x6451,x6453)+~P2(x6453,f132(x6452))
% 3.08/3.14 [646]P2(x6461,x6462)+~P13(x6461,x6463)+~P2(x6463,f132(x6462))
% 3.08/3.14 [656]~P24(x6561,x6563)+P13(x6561,f10(x6562))+~P13(x6563,f10(x6562))
% 3.08/3.14 [657]~P24(x6571,x6573)+P13(x6571,f14(x6572))+~P13(x6573,f14(x6572))
% 3.08/3.14 [677]~P19(x6772)+P13(x6771,x6772)+~P13(x6771,f137(x6772,x6773))
% 3.08/3.14 [680]~P13(x6802,x6803)+~P13(x6801,x6803)+P24(f149(x6801,x6802),x6803)
% 3.08/3.14 [681]~P24(x6812,x6813)+~P24(x6811,x6813)+P24(f145(x6811,x6812),x6813)
% 3.08/3.14 [703]~P24(x7031,x7033)+~P13(x7033,f14(x7032))+P13(x7031,f39(x7032,x7033))
% 3.08/3.14 [706]~P19(x7061)+~P24(x7062,x7063)+P24(f141(x7061,x7062),f141(x7061,x7063))
% 3.08/3.14 [723]~P13(x7231,x7232)+~P13(x7233,x7232)+~P13(x7233,f23(x7231,x7232))
% 3.08/3.14 [727]~P19(x7273)+~P13(x7271,f137(x7273,x7272))+P13(x7271,f3(x7272,x7272))
% 3.08/3.14 [741]~P13(x7411,x7412)+~P13(x7411,f147(x7413,x7412))+~P2(x7412,f132(x7413))
% 3.08/3.14 [754]~P2(x7543,f132(x7541))+~P2(x7542,f132(x7541))+E(f148(x7541,x7542,x7543),f143(x7542,x7543))
% 3.08/3.14 [776]~P13(x7761,x7763)+~E(x7763,f142(x7762))+P13(x7761,f83(x7762,x7763,x7761))
% 3.08/3.14 [777]~P13(x7773,x7772)+~E(x7772,f142(x7771))+P13(f83(x7771,x7772,x7773),x7771)
% 3.08/3.14 [798]~P19(x7983)+~P13(x7981,f139(x7983,x7982))+P13(f12(x7981,x7982,x7983),x7982)
% 3.08/3.14 [799]~P19(x7993)+~P13(x7991,f141(x7993,x7992))+P13(f13(x7991,x7992,x7993),x7992)
% 3.08/3.14 [800]~P2(x8003,f132(x8001))+~P2(x8002,f132(x8001))+P2(f148(x8001,x8002,x8003),f132(x8001))
% 3.08/3.14 [803]~P19(x8033)+~P13(x8031,f139(x8033,x8032))+P13(f12(x8031,x8032,x8033),f5(x8033))
% 3.08/3.14 [804]~P19(x8043)+~P13(x8041,f141(x8043,x8042))+P13(f13(x8041,x8042,x8043),f135(x8043))
% 3.08/3.14 [833]P13(f61(x8332,x8333,x8331),x8331)+P13(f65(x8332,x8333,x8331),x8332)+E(x8331,f3(x8332,x8333))
% 3.08/3.14 [834]P13(f61(x8342,x8343,x8341),x8341)+P13(f66(x8342,x8343,x8341),x8343)+E(x8341,f3(x8342,x8343))
% 3.08/3.14 [835]P13(f87(x8352,x8353,x8351),x8351)+P13(f87(x8352,x8353,x8351),x8352)+E(x8351,f143(x8352,x8353))
% 3.08/3.14 [856]~E(f57(x8562,x8563,x8561),x8563)+~P13(f57(x8562,x8563,x8561),x8561)+E(x8561,f149(x8562,x8563))
% 3.08/3.14 [857]~E(f57(x8572,x8573,x8571),x8572)+~P13(f57(x8572,x8573,x8571),x8571)+E(x8571,f149(x8572,x8573))
% 3.08/3.14 [864]P13(f87(x8642,x8643,x8641),x8641)+~P13(f87(x8642,x8643,x8641),x8643)+E(x8641,f143(x8642,x8643))
% 3.08/3.14 [878]~P13(f62(x8782,x8783,x8781),x8781)+~P13(f62(x8782,x8783,x8781),x8783)+E(x8781,f145(x8782,x8783))
% 3.08/3.14 [879]~P13(f62(x8792,x8793,x8791),x8791)+~P13(f62(x8792,x8793,x8791),x8792)+E(x8791,f145(x8792,x8793))
% 3.08/3.14 [748]~P24(x7482,x7483)+P13(x7481,x7482)+P24(x7482,f143(x7483,f149(x7481,x7481)))
% 3.08/3.14 [758]P13(x7581,x7582)+~P19(x7583)+~P13(x7581,f5(f136(x7583,x7582)))
% 3.08/3.14 [759]P13(x7591,x7592)+~P19(x7593)+~P13(x7591,f135(f144(x7592,x7593)))
% 3.08/3.14 [763]~P24(x7631,x7633)+~P24(x7631,x7632)+P24(x7631,f143(x7632,f143(x7632,x7633)))
% 3.08/3.14 [766]~P19(x7662)+P13(x7661,f5(x7662))+~P13(x7661,f5(f136(x7662,x7663)))
% 3.08/3.14 [767]~P19(x7672)+P13(x7671,f135(x7672))+~P13(x7671,f135(f144(x7673,x7672)))
% 3.08/3.14 [825]~P19(x8252)+P13(x8251,f5(x8252))+~P13(f149(f149(x8251,x8253),f149(x8251,x8251)),x8252)
% 3.08/3.14 [826]~P19(x8262)+P13(x8261,f140(x8262))+~P13(f149(f149(x8263,x8261),f149(x8263,x8263)),x8262)
% 3.08/3.14 [827]~P19(x8272)+P13(x8271,f140(x8272))+~P13(f149(f149(x8271,x8273),f149(x8271,x8271)),x8272)
% 3.08/3.14 [828]~P19(x8282)+P13(x8281,f135(x8282))+~P13(f149(f149(x8283,x8281),f149(x8283,x8283)),x8282)
% 3.08/3.14 [853]P13(f75(x8532,x8533,x8531),x8531)+P13(f75(x8532,x8533,x8531),x8533)+E(x8531,f143(x8532,f143(x8532,x8533)))
% 3.08/3.14 [854]P13(f75(x8542,x8543,x8541),x8541)+P13(f75(x8542,x8543,x8541),x8542)+E(x8541,f143(x8542,f143(x8542,x8543)))
% 3.08/3.14 [914]~P19(x9143)+~P13(x9141,f141(x9143,x9142))+P13(f149(f149(x9141,f13(x9141,x9142,x9143)),f149(x9141,x9141)),x9143)
% 3.08/3.14 [926]P13(f61(x9262,x9263,x9261),x9261)+E(x9261,f3(x9262,x9263))+E(f149(f149(f65(x9262,x9263,x9261),f66(x9262,x9263,x9261)),f149(f65(x9262,x9263,x9261),f65(x9262,x9263,x9261))),f61(x9262,x9263,x9261))
% 3.08/3.14 [935]~P19(x9353)+~P13(x9351,f139(x9353,x9352))+P13(f149(f149(f12(x9351,x9352,x9353),x9351),f149(f12(x9351,x9352,x9353),f12(x9351,x9352,x9353))),x9353)
% 3.08/3.14 [526]P13(x5261,x5262)+~E(x5261,x5263)+~E(x5262,f149(x5264,x5263))
% 3.08/3.14 [527]P13(x5271,x5272)+~E(x5271,x5273)+~E(x5272,f149(x5273,x5274))
% 3.08/3.14 [579]E(x5791,x5792)+E(x5791,x5793)+~E(f149(x5791,x5794),f149(x5793,x5792))
% 3.08/3.14 [609]~P13(x6091,x6094)+P13(x6091,x6092)+~E(x6092,f145(x6093,x6094))
% 3.08/3.14 [610]~P13(x6101,x6103)+P13(x6101,x6102)+~E(x6102,f145(x6103,x6104))
% 3.08/3.14 [611]~P13(x6111,x6113)+P13(x6111,x6112)+~E(x6113,f143(x6112,x6114))
% 3.08/3.14 [644]~P13(x6444,x6443)+~P13(x6444,x6441)+~E(x6441,f143(x6442,x6443))
% 3.08/3.14 [729]~P24(x7292,x7294)+~P24(x7291,x7293)+P24(f3(x7291,x7292),f3(x7293,x7294))
% 3.08/3.14 [895]~P13(x8954,x8953)+~E(x8953,f3(x8951,x8952))+P13(f63(x8951,x8952,x8953,x8954),x8951)
% 3.08/3.14 [896]~P13(x8964,x8963)+~E(x8963,f3(x8961,x8962))+P13(f64(x8961,x8962,x8963,x8964),x8962)
% 3.08/3.14 [930]~E(f46(x9302,x9303,x9304,x9301),x9304)+~P13(f46(x9302,x9303,x9304,x9301),x9301)+E(x9301,f151(x9302,x9303,x9304))
% 3.08/3.14 [931]~E(f46(x9312,x9313,x9314,x9311),x9313)+~P13(f46(x9312,x9313,x9314,x9311),x9311)+E(x9311,f151(x9312,x9313,x9314))
% 3.08/3.14 [932]~E(f46(x9322,x9323,x9324,x9321),x9322)+~P13(f46(x9322,x9323,x9324,x9321),x9321)+E(x9321,f151(x9322,x9323,x9324))
% 3.08/3.14 [712]~P13(x7121,x7123)+P13(x7121,x7122)+~E(x7123,f143(x7124,f143(x7124,x7122)))
% 3.08/3.14 [812]~P13(x8122,x8124)+~P13(x8121,x8123)+P13(f149(f149(x8121,x8122),f149(x8121,x8121)),f3(x8123,x8124))
% 3.08/3.14 [861]P13(x8611,x8612)+~P19(x8613)+~P13(f149(f149(x8611,x8614),f149(x8611,x8611)),f134(f128(x8612),x8613))
% 3.08/3.14 [886]~P19(x8863)+P13(f149(f149(x8861,x8862),f149(x8861,x8861)),x8863)+~P13(f149(f149(x8861,x8862),f149(x8861,x8861)),f134(f128(x8864),x8863))
% 3.08/3.14 [948]~P13(x9484,x9483)+~E(x9483,f3(x9481,x9482))+E(f149(f149(f63(x9481,x9482,x9483,x9484),f64(x9481,x9482,x9483,x9484)),f149(f63(x9481,x9482,x9483,x9484),f63(x9481,x9482,x9483,x9484))),x9484)
% 3.08/3.14 [715]P13(x7151,x7152)+~E(x7151,x7153)+~E(x7152,f151(x7154,x7155,x7153))
% 3.08/3.14 [716]P13(x7161,x7162)+~E(x7161,x7163)+~E(x7162,f151(x7164,x7163,x7165))
% 3.08/3.14 [717]P13(x7171,x7172)+~E(x7171,x7173)+~E(x7172,f151(x7173,x7174,x7175))
% 3.08/3.14 [476]~P1(x4761)+~P8(x4761)+~P19(x4761)+P12(x4761)
% 3.08/3.14 [483]~P8(x4831)+~P19(x4831)+~P12(x4831)+E(f129(x4831),f138(x4831))
% 3.08/3.14 [487]~P8(x4871)+~P19(x4871)+P12(x4871)+~E(f68(x4871),f96(x4871))
% 3.08/3.14 [488]~P8(x4881)+~P19(x4881)+~P12(x4881)+P8(f138(x4881))
% 3.08/3.14 [490]~P8(x4901)+~P19(x4901)+~P12(x4901)+P12(f129(x4901))
% 3.08/3.14 [567]~P8(x5671)+~P19(x5671)+P12(x5671)+P13(f68(x5671),f5(x5671))
% 3.08/3.14 [568]~P8(x5681)+~P19(x5681)+P12(x5681)+P13(f96(x5681),f5(x5681))
% 3.08/3.14 [500]~P8(x5001)+~P19(x5001)+~P12(x5001)+E(f135(f129(x5001)),f5(x5001))
% 3.08/3.14 [501]~P8(x5011)+~P19(x5011)+~P12(x5011)+E(f5(f129(x5011)),f135(x5011))
% 3.08/3.14 [601]P12(x6011)+~P8(x6011)+~P19(x6011)+E(f2(x6011,f68(x6011)),f2(x6011,f96(x6011)))
% 3.08/3.14 [534]P21(x5342,x5341)+~P11(x5341)+~P11(x5342)+P21(x5341,x5342)
% 3.08/3.14 [582]~P11(x5822)+~P9(x5821)+~P20(x5821,x5822)+P13(x5821,x5822)
% 3.08/3.14 [583]~P11(x5832)+~P11(x5831)+~P24(x5831,x5832)+P21(x5831,x5832)
% 3.08/3.14 [584]~P11(x5842)+~P11(x5841)+~P21(x5841,x5842)+P24(x5841,x5842)
% 3.08/3.14 [478]~P8(x4781)+~P19(x4781)+~E(x4781,f128(x4782))+E(f5(x4781),x4782)
% 3.08/3.14 [613]~P11(x6132)+~P24(x6131,x6132)+E(x6131,a1)+P11(f19(x6131,x6132))
% 3.08/3.14 [628]~P19(x6282)+~P24(x6281,f135(x6282))+E(x6281,a1)+~E(f141(x6282,x6281),a1)
% 3.08/3.14 [629]~P19(x6292)+~P19(x6291)+~P24(x6291,x6292)+P24(f5(x6291),f5(x6292))
% 3.08/3.14 [630]~P19(x6302)+~P19(x6301)+~P24(x6301,x6302)+P24(f135(x6301),f135(x6302))
% 3.08/3.14 [651]~P11(x6512)+~P24(x6511,x6512)+P13(f19(x6511,x6512),x6511)+E(x6511,a1)
% 3.08/3.14 [726]P13(f53(x7261,x7262),x7261)+~P13(f51(x7261,x7262),x7262)+E(x7261,a1)+E(x7262,f146(x7261))
% 3.08/3.14 [740]~P19(x7401)+P25(x7401)+~P7(f130(x7401,x7402),f36(x7401))+~P13(x7402,f36(x7401))
% 3.08/3.14 [790]~P13(f51(x7901,x7902),x7902)+~P13(f51(x7901,x7902),f53(x7901,x7902))+E(x7901,a1)+E(x7902,f146(x7901))
% 3.08/3.14 [685]~P11(x6851)+~P11(x6852)+~P3(x6851)+~E(x6851,f145(x6852,f149(x6852,x6852)))
% 3.08/3.14 [688]~P8(x6881)+~P19(x6881)+~P24(x6882,f135(x6881))+E(f139(x6881,f141(x6881,x6882)),x6882)
% 3.08/3.14 [696]~P19(x6962)+~P19(x6961)+~P24(f135(x6961),f5(x6962))+E(f5(f134(x6961,x6962)),f5(x6961))
% 3.08/3.14 [697]~P19(x6971)+~P19(x6972)+~P24(f5(x6972),f135(x6971))+E(f135(f134(x6971,x6972)),f135(x6972))
% 3.08/3.14 [747]~P11(x7472)+~P11(x7471)+~P13(x7471,x7472)+P21(f145(x7471,f149(x7471,x7471)),x7472)
% 3.08/3.14 [789]~P11(x7892)+~P11(x7891)+P13(x7891,x7892)+~P21(f145(x7891,f149(x7891,x7891)),x7892)
% 3.08/3.15 [797]~P19(x7972)+~P22(x7972)+~P13(x7971,f140(x7972))+P13(f149(f149(x7971,x7971),f149(x7971,x7971)),x7972)
% 3.08/3.15 [906]~P19(x9062)+~P19(x9061)+P24(x9061,x9062)+P13(f149(f149(f71(x9061,x9062),f72(x9061,x9062)),f149(f71(x9061,x9062),f71(x9061,x9062))),x9061)
% 3.08/3.15 [907]~P19(x9071)+E(f48(x9072,x9071),f58(x9072,x9071))+E(x9071,f128(x9072))+P13(f149(f149(f48(x9072,x9071),f58(x9072,x9071)),f149(f48(x9072,x9071),f48(x9072,x9071))),x9071)
% 3.08/3.15 [910]~P19(x9101)+P13(f48(x9102,x9101),x9102)+E(x9101,f128(x9102))+P13(f149(f149(f48(x9102,x9101),f58(x9102,x9101)),f149(f48(x9102,x9101),f48(x9102,x9101))),x9101)
% 3.08/3.15 [911]~P19(x9112)+P13(f77(x9112,x9111),x9111)+E(x9111,f5(x9112))+P13(f149(f149(f77(x9112,x9111),f78(x9112,x9111)),f149(f77(x9112,x9111),f77(x9112,x9111))),x9112)
% 3.08/3.15 [912]~P19(x9122)+P13(f89(x9122,x9121),x9121)+E(x9121,f135(x9122))+P13(f149(f149(f92(x9122,x9121),f89(x9122,x9121)),f149(f92(x9122,x9121),f92(x9122,x9121))),x9122)
% 3.08/3.15 [924]~P19(x9242)+~P19(x9241)+P24(x9241,x9242)+~P13(f149(f149(f71(x9241,x9242),f72(x9241,x9242)),f149(f71(x9241,x9242),f71(x9241,x9242))),x9242)
% 3.08/3.15 [745]~P7(x7451,x7453)+~P2(x7453,f132(x7452))+~P2(x7451,f132(x7452))+P24(x7451,f147(x7452,x7453))
% 3.08/3.15 [755]~P19(x7552)+~P13(x7551,x7552)+~P13(x7551,f3(x7553,x7553))+P13(x7551,f137(x7552,x7553))
% 3.08/3.15 [770]P7(x7701,x7702)+~P24(x7701,f147(x7703,x7702))+~P2(x7702,f132(x7703))+~P2(x7701,f132(x7703))
% 3.08/3.15 [771]P13(x7712,x7713)+P13(f52(x7711,x7713,x7712),x7711)+~E(x7713,f146(x7711))+E(x7711,a1)
% 3.08/3.15 [778]~P13(x7783,x7782)+~P13(f82(x7782,x7781),x7783)+~P13(f82(x7782,x7781),x7781)+E(x7781,f142(x7782))
% 3.08/3.15 [795]~P19(x7951)+P18(x7951,x7952)+~P7(f130(x7951,x7953),f69(x7951,x7952))+~P13(x7953,f69(x7951,x7952))
% 3.08/3.15 [810]P13(x8102,x8103)+~E(x8103,f146(x8101))+~P13(x8102,f52(x8101,x8103,x8102))+E(x8101,a1)
% 3.08/3.15 [818]E(f57(x8182,x8183,x8181),x8183)+E(f57(x8182,x8183,x8181),x8182)+P13(f57(x8182,x8183,x8181),x8181)+E(x8181,f149(x8182,x8183))
% 3.08/3.15 [839]~P19(x8392)+P13(f40(x8392,x8393,x8391),x8391)+P13(f41(x8392,x8393,x8391),x8393)+E(x8391,f139(x8392,x8393))
% 3.08/3.15 [840]~P19(x8402)+P13(f42(x8402,x8403,x8401),x8401)+P13(f44(x8402,x8403,x8401),x8403)+E(x8401,f141(x8402,x8403))
% 3.08/3.15 [870]P13(f62(x8702,x8703,x8701),x8701)+P13(f62(x8702,x8703,x8701),x8703)+P13(f62(x8702,x8703,x8701),x8702)+E(x8701,f145(x8702,x8703))
% 3.08/3.15 [892]P13(f87(x8922,x8923,x8921),x8923)+~P13(f87(x8922,x8923,x8921),x8921)+~P13(f87(x8922,x8923,x8921),x8922)+E(x8921,f143(x8922,x8923))
% 3.08/3.15 [698]~P8(x6981)+~P19(x6981)+~P13(x6983,x6982)+E(f2(f136(x6981,x6982),x6983),f2(x6981,x6983))
% 3.08/3.15 [756]~P19(x7562)+~P13(x7561,x7563)+~P13(x7561,f5(x7562))+P13(x7561,f5(f136(x7562,x7563)))
% 3.08/3.15 [757]~P19(x7573)+~P13(x7571,x7572)+~P13(x7571,f135(x7573))+P13(x7571,f135(f144(x7572,x7573)))
% 3.08/3.15 [792]~P8(x7921)+~P19(x7921)+E(f2(f136(x7921,x7922),x7923),f2(x7921,x7923))+~P13(x7923,f5(f136(x7921,x7922)))
% 3.08/3.15 [802]~P19(x8022)+~P17(x8022,x8023)+~P13(x8021,x8023)+P13(f149(f149(x8021,x8021),f149(x8021,x8021)),x8022)
% 3.08/3.15 [817]P2(f105(x8172,x8173,x8171),f132(x8172))+E(x8171,f4(x8172,x8173))+~P2(x8171,f132(f132(x8172)))+~P2(x8173,f132(f132(x8172)))
% 3.08/3.15 [829]~P8(x8292)+~P19(x8292)+E(x8291,f2(x8292,x8293))+~P13(f149(f149(x8293,x8291),f149(x8293,x8293)),x8292)
% 3.08/3.15 [889]~P19(x8892)+~P13(f89(x8892,x8891),x8891)+E(x8891,f135(x8892))+~P13(f149(f149(x8893,f89(x8892,x8891)),f149(x8893,x8893)),x8892)
% 3.08/3.15 [908]~P19(x9082)+~P13(x9081,x9083)+~E(x9083,f5(x9082))+P13(f149(f149(x9081,f76(x9082,x9083,x9081)),f149(x9081,x9081)),x9082)
% 3.08/3.15 [913]~P13(f75(x9132,x9133,x9131),x9131)+~P13(f75(x9132,x9133,x9131),x9133)+~P13(f75(x9132,x9133,x9131),x9132)+E(x9131,f143(x9132,f143(x9132,x9133)))
% 3.08/3.15 [918]~P19(x9182)+~P13(f77(x9182,x9181),x9181)+E(x9181,f5(x9182))+~P13(f149(f149(f77(x9182,x9181),x9183),f149(f77(x9182,x9181),f77(x9182,x9181))),x9182)
% 3.08/3.15 [934]~P19(x9341)+~P13(x9343,x9342)+~E(x9342,f135(x9341))+P13(f149(f149(f91(x9341,x9342,x9343),x9343),f149(f91(x9341,x9342,x9343),f91(x9341,x9342,x9343))),x9341)
% 3.08/3.15 [938]~P19(x9382)+P13(f40(x9382,x9383,x9381),x9381)+E(x9381,f139(x9382,x9383))+P13(f149(f149(f41(x9382,x9383,x9381),f40(x9382,x9383,x9381)),f149(f41(x9382,x9383,x9381),f41(x9382,x9383,x9381))),x9382)
% 3.08/3.15 [939]~P19(x9392)+P13(f42(x9392,x9393,x9391),x9391)+E(x9391,f141(x9392,x9393))+P13(f149(f149(f42(x9392,x9393,x9391),f44(x9392,x9393,x9391)),f149(f42(x9392,x9393,x9391),f42(x9392,x9393,x9391))),x9392)
% 3.08/3.15 [581]~P13(x5811,x5814)+E(x5811,x5812)+E(x5811,x5813)+~E(x5814,f149(x5813,x5812))
% 3.08/3.15 [642]~P13(x6421,x6424)+P13(x6421,x6422)+~P13(x6424,x6423)+~E(x6422,f142(x6423))
% 3.08/3.15 [658]~P13(x6581,x6584)+P13(x6581,x6582)+P13(x6581,x6583)+~E(x6582,f143(x6584,x6583))
% 3.08/3.15 [659]~P13(x6591,x6594)+P13(x6591,x6592)+P13(x6591,x6593)+~E(x6594,f145(x6593,x6592))
% 3.08/3.15 [897]~P19(x8971)+~P13(x8974,x8973)+~E(x8973,f139(x8971,x8972))+P13(f32(x8971,x8972,x8973,x8974),x8972)
% 3.08/3.15 [898]~P19(x8981)+~P13(x8984,x8983)+~E(x8983,f141(x8981,x8982))+P13(f43(x8981,x8982,x8983,x8984),x8982)
% 3.08/3.15 [744]~P13(x7441,x7444)+~P13(x7441,x7443)+P13(x7441,x7442)+~E(x7442,f143(x7443,f143(x7443,x7444)))
% 3.08/3.15 [816]~P19(x8163)+E(x8161,x8162)+~E(x8163,f128(x8164))+~P13(f149(f149(x8161,x8162),f149(x8161,x8161)),x8163)
% 3.08/3.15 [830]~P19(x8303)+P13(x8301,x8302)+~E(x8302,f135(x8303))+~P13(f149(f149(x8304,x8301),f149(x8304,x8304)),x8303)
% 3.08/3.15 [831]~P19(x8313)+P13(x8311,x8312)+~E(x8312,f5(x8313))+~P13(f149(f149(x8311,x8314),f149(x8311,x8311)),x8313)
% 3.08/3.15 [832]~P19(x8323)+P13(x8321,x8322)+~E(x8323,f128(x8322))+~P13(f149(f149(x8321,x8324),f149(x8321,x8321)),x8323)
% 3.08/3.15 [887]~P19(x8874)+~P13(x8871,x8873)+~P13(f149(f149(x8871,x8872),f149(x8871,x8871)),x8874)+P13(f149(f149(x8871,x8872),f149(x8871,x8871)),f134(f128(x8873),x8874))
% 3.08/3.15 [942]~P19(x9422)+~P13(x9421,x9424)+~E(x9424,f141(x9422,x9423))+P13(f149(f149(x9421,f43(x9422,x9423,x9424,x9421)),f149(x9421,x9421)),x9422)
% 3.08/3.15 [952]~P19(x9521)+~P13(x9524,x9523)+~E(x9523,f139(x9521,x9522))+P13(f149(f149(f32(x9521,x9522,x9523,x9524),x9524),f149(f32(x9521,x9522,x9523,x9524),f32(x9521,x9522,x9523,x9524))),x9521)
% 3.08/3.15 [569]P13(x5692,x5691)+P13(x5691,x5692)+~P11(x5692)+~P11(x5691)+E(x5691,x5692)
% 3.08/3.15 [599]~P8(x5992)+~P8(x5991)+~P19(x5992)+~P19(x5991)+P8(f134(x5991,x5992))
% 3.08/3.15 [643]~P8(x6431)+~P19(x6431)+P13(f20(x6432,x6431),x6432)+~E(f5(x6431),x6432)+E(x6431,f128(x6432))
% 3.08/3.15 [689]~P19(x6892)+~P25(x6892)+~P24(x6891,f140(x6892))+P13(f56(x6892,x6891),x6891)+E(x6891,a1)
% 3.08/3.15 [720]~P8(x7202)+~P19(x7202)+P13(f85(x7202,x7201),x7201)+P13(f88(x7202,x7201),f5(x7202))+E(x7201,f135(x7202))
% 3.08/3.15 [732]~P8(x7321)+~P19(x7321)+~E(f5(x7321),x7322)+E(x7321,f128(x7322))+~E(f2(x7321,f20(x7322,x7321)),f20(x7322,x7321))
% 3.08/3.15 [734]~P8(x7342)+~P19(x7342)+P13(f85(x7342,x7341),x7341)+E(x7341,f135(x7342))+E(f2(x7342,f88(x7342,x7341)),f85(x7342,x7341))
% 3.08/3.15 [761]~P11(x7611)+~P11(x7612)+~P3(x7612)+~P13(x7611,x7612)+P13(f145(x7611,f149(x7611,x7611)),x7612)
% 3.08/3.15 [764]~P19(x7642)+~P25(x7642)+~P24(x7641,f140(x7642))+E(x7641,a1)+P7(f130(x7642,f56(x7642,x7641)),x7641)
% 3.08/3.15 [721]~P8(x7211)+~P19(x7211)+~P12(x7211)+~P13(x7212,f135(x7211))+E(f2(x7211,f2(f129(x7211),x7212)),x7212)
% 3.08/3.15 [722]~P8(x7221)+~P19(x7221)+~P12(x7221)+~P13(x7222,f135(x7221))+E(f2(f134(f129(x7221),x7221),x7222),x7222)
% 3.08/3.15 [925]~P19(x9251)+~E(f48(x9252,x9251),f58(x9252,x9251))+~P13(f48(x9252,x9251),x9252)+E(x9251,f128(x9252))+~P13(f149(f149(f48(x9252,x9251),f58(x9252,x9251)),f149(f48(x9252,x9251),f48(x9252,x9251))),x9251)
% 3.08/3.15 [928]~P19(x9282)+~P19(x9281)+E(x9281,x9282)+P13(f149(f149(f59(x9281,x9282),f60(x9281,x9282)),f149(f59(x9281,x9282),f59(x9281,x9282))),x9282)+P13(f149(f149(f59(x9281,x9282),f60(x9281,x9282)),f149(f59(x9281,x9282),f59(x9281,x9282))),x9281)
% 3.08/3.15 [929]~P19(x9291)+~P19(x9292)+E(x9291,f138(x9292))+P13(f149(f149(f94(x9292,x9291),f95(x9292,x9291)),f149(f94(x9292,x9291),f94(x9292,x9291))),x9291)+P13(f149(f149(f95(x9292,x9291),f94(x9292,x9291)),f149(f95(x9292,x9291),f95(x9292,x9291))),x9292)
% 3.08/3.15 [936]~P19(x9362)+~P19(x9361)+E(x9361,x9362)+~P13(f149(f149(f59(x9361,x9362),f60(x9361,x9362)),f149(f59(x9361,x9362),f59(x9361,x9362))),x9362)+~P13(f149(f149(f59(x9361,x9362),f60(x9361,x9362)),f149(f59(x9361,x9362),f59(x9361,x9362))),x9361)
% 3.08/3.15 [937]~P19(x9371)+~P19(x9372)+E(x9371,f138(x9372))+~P13(f149(f149(f94(x9372,x9371),f95(x9372,x9371)),f149(f94(x9372,x9371),f94(x9372,x9371))),x9371)+~P13(f149(f149(f95(x9372,x9371),f94(x9372,x9371)),f149(f95(x9372,x9371),f95(x9372,x9371))),x9372)
% 3.08/3.15 [587]~P8(x5872)+~P19(x5872)+P13(x5873,f5(x5872))+~E(x5871,a1)+E(x5871,f2(x5872,x5873))
% 3.08/3.15 [605]~P8(x6053)+~P19(x6053)+~E(x6051,f2(x6053,x6052))+E(x6051,a1)+P13(x6052,f5(x6053))
% 3.08/3.15 [607]~P8(x6071)+~P19(x6071)+~P13(x6072,x6073)+E(f2(x6071,x6072),x6072)+~E(x6071,f128(x6073))
% 3.08/3.15 [725]~P13(x7253,x7251)+P13(f51(x7251,x7252),x7252)+E(x7251,a1)+E(x7252,f146(x7251))+P13(f51(x7251,x7252),x7253)
% 3.08/3.15 [728]~P2(x7282,x7281)+P13(x7282,x7283)+P13(x7282,f147(x7281,x7283))+~P2(x7283,f132(x7281))+E(x7281,a1)
% 3.08/3.15 [786]~P8(x7861)+~P19(x7861)+~P13(x7863,x7862)+~E(x7862,f135(x7861))+P13(f86(x7861,x7862,x7863),f5(x7861))
% 3.08/3.15 [791]~P19(x7912)+~P24(x7911,x7913)+~P18(x7912,x7913)+P13(f73(x7912,x7913,x7911),x7911)+E(x7911,a1)
% 3.08/3.15 [844]~P8(x8442)+~P19(x8442)+P13(f98(x8442,x8443,x8441),x8441)+P13(f111(x8442,x8443,x8441),x8443)+E(x8441,f139(x8442,x8443))
% 3.08/3.15 [845]~P8(x8452)+~P19(x8452)+P13(f98(x8452,x8453,x8451),x8451)+P13(f111(x8452,x8453,x8451),f5(x8452))+E(x8451,f139(x8452,x8453))
% 3.08/3.15 [846]~P8(x8462)+~P19(x8462)+P13(f21(x8462,x8463,x8461),x8461)+P13(f21(x8462,x8463,x8461),f5(x8462))+E(x8461,f141(x8462,x8463))
% 3.08/3.15 [784]~P8(x7841)+~P19(x7841)+~P13(x7843,x7842)+~E(x7842,f135(x7841))+E(f2(x7841,f86(x7841,x7842,x7843)),x7843)
% 3.08/3.15 [809]~P8(x8093)+~P19(x8093)+~E(x8092,f2(x8093,x8091))+~P13(x8091,f5(x8093))+P13(f149(f149(x8091,x8092),f149(x8091,x8091)),x8093)
% 3.08/3.15 [862]~P19(x8622)+~P24(x8621,x8623)+~P18(x8622,x8623)+E(x8621,a1)+P7(f130(x8622,f73(x8622,x8623,x8621)),x8621)
% 3.08/3.15 [863]~P8(x8632)+~P19(x8632)+P13(f98(x8632,x8633,x8631),x8631)+E(x8631,f139(x8632,x8633))+E(f2(x8632,f111(x8632,x8633,x8631)),f98(x8632,x8633,x8631))
% 3.08/3.15 [880]~P8(x8802)+~P19(x8802)+P13(f21(x8802,x8803,x8801),x8801)+E(x8801,f141(x8802,x8803))+P13(f2(x8802,f21(x8802,x8803,x8801)),x8803)
% 3.08/3.15 [890]~P4(x8903)+E(x8901,x8902)+~P19(x8903)+~P13(f149(f149(x8902,x8901),f149(x8902,x8902)),x8903)+~P13(f149(f149(x8901,x8902),f149(x8901,x8901)),x8903)
% 3.08/3.15 [891]P13(f105(x8912,x8913,x8911),x8911)+E(x8911,f4(x8912,x8913))+P13(f147(x8912,f105(x8912,x8913,x8911)),x8913)+~P2(x8911,f132(f132(x8912)))+~P2(x8913,f132(f132(x8912)))
% 3.08/3.15 [917]~P13(f105(x9172,x9173,x9171),x9171)+E(x9171,f4(x9172,x9173))+~P2(x9171,f132(f132(x9172)))+~P2(x9173,f132(f132(x9172)))+~P13(f147(x9172,f105(x9172,x9173,x9171)),x9173)
% 3.08/3.15 [940]~P19(x9401)+~P19(x9402)+P13(f67(x9402,x9403,x9401),x9403)+E(x9401,f136(x9402,x9403))+P13(f149(f149(f67(x9402,x9403,x9401),f79(x9402,x9403,x9401)),f149(f67(x9402,x9403,x9401),f67(x9402,x9403,x9401))),x9401)
% 3.08/3.15 [941]~P19(x9411)+~P19(x9413)+P13(f131(x9412,x9413,x9411),x9412)+E(x9411,f144(x9412,x9413))+P13(f149(f149(f119(x9412,x9413,x9411),f131(x9412,x9413,x9411)),f149(f119(x9412,x9413,x9411),f119(x9412,x9413,x9411))),x9411)
% 3.08/3.15 [944]~P19(x9441)+~P19(x9442)+E(x9441,f136(x9442,x9443))+P13(f149(f149(f67(x9442,x9443,x9441),f79(x9442,x9443,x9441)),f149(f67(x9442,x9443,x9441),f67(x9442,x9443,x9441))),x9441)+P13(f149(f149(f67(x9442,x9443,x9441),f79(x9442,x9443,x9441)),f149(f67(x9442,x9443,x9441),f67(x9442,x9443,x9441))),x9442)
% 3.08/3.15 [945]~P19(x9451)+~P19(x9453)+E(x9451,f144(x9452,x9453))+P13(f149(f149(f119(x9452,x9453,x9451),f131(x9452,x9453,x9451)),f149(f119(x9452,x9453,x9451),f119(x9452,x9453,x9451))),x9451)+P13(f149(f149(f119(x9452,x9453,x9451),f131(x9452,x9453,x9451)),f149(f119(x9452,x9453,x9451),f119(x9452,x9453,x9451))),x9453)
% 3.08/3.15 [649]~P13(x6493,x6491)+~P13(x6492,x6494)+P13(x6492,x6493)+E(x6491,a1)+~E(x6494,f146(x6491))
% 3.08/3.15 [672]~P8(x6722)+~P19(x6722)+~P13(x6721,x6723)+P13(x6721,f5(x6722))+~E(x6723,f141(x6722,x6724))
% 3.08/3.15 [710]~P8(x7101)+~P19(x7101)+~P13(x7102,x7104)+P13(f2(x7101,x7102),x7103)+~E(x7104,f141(x7101,x7103))
% 3.08/3.15 [899]~P8(x8991)+~P19(x8991)+~P13(x8994,x8993)+~E(x8993,f139(x8991,x8992))+P13(f90(x8991,x8992,x8993,x8994),x8992)
% 3.08/3.15 [901]~P8(x9011)+~P19(x9011)+~P13(x9014,x9013)+~E(x9013,f139(x9011,x9012))+P13(f90(x9011,x9012,x9013,x9014),f5(x9011))
% 3.08/3.15 [933]E(f46(x9332,x9333,x9334,x9331),x9334)+E(f46(x9332,x9333,x9334,x9331),x9333)+E(f46(x9332,x9333,x9334,x9331),x9332)+P13(f46(x9332,x9333,x9334,x9331),x9331)+E(x9331,f151(x9332,x9333,x9334))
% 3.08/3.15 [793]~E(x7931,x7932)+~P19(x7933)+~P13(x7931,x7934)+~E(x7933,f128(x7934))+P13(f149(f149(x7931,x7932),f149(x7931,x7931)),x7933)
% 3.08/3.15 [865]~P19(x8652)+~P13(x8654,x8653)+~P13(x8654,f5(x8652))+P13(x8651,f139(x8652,x8653))+~P13(f149(f149(x8654,x8651),f149(x8654,x8654)),x8652)
% 3.08/3.15 [866]~P19(x8662)+~P13(x8664,x8663)+~P13(x8664,f135(x8662))+P13(x8661,f141(x8662,x8663))+~P13(f149(f149(x8661,x8664),f149(x8661,x8661)),x8662)
% 3.08/3.15 [876]~P19(x8763)+~P19(x8764)+~E(x8763,f138(x8764))+~P13(f149(f149(x8762,x8761),f149(x8762,x8762)),x8764)+P13(f149(f149(x8761,x8762),f149(x8761,x8761)),x8763)
% 3.08/3.15 [877]~P19(x8773)+~P19(x8774)+~E(x8774,f138(x8773))+~P13(f149(f149(x8772,x8771),f149(x8772,x8772)),x8774)+P13(f149(f149(x8771,x8772),f149(x8771,x8771)),x8773)
% 3.08/3.15 [900]~P8(x9001)+~P19(x9001)+~P13(x9004,x9003)+~E(x9003,f139(x9001,x9002))+E(f2(x9001,f90(x9001,x9002,x9003,x9004)),x9004)
% 3.08/3.15 [909]~P19(x9093)+~P26(x9093)+~P13(f149(f149(x9091,x9094),f149(x9091,x9091)),x9093)+P13(f149(f149(x9091,x9092),f149(x9091,x9091)),x9093)+~P13(f149(f149(x9094,x9092),f149(x9094,x9094)),x9093)
% 3.08/3.15 [927]~P19(x9272)+~P13(x9274,x9273)+~P13(f40(x9272,x9273,x9271),x9271)+E(x9271,f139(x9272,x9273))+~P13(f149(f149(x9274,f40(x9272,x9273,x9271)),f149(x9274,x9274)),x9272)
% 3.08/3.15 [943]~P19(x9432)+~P13(x9434,x9433)+~P13(f42(x9432,x9433,x9431),x9431)+E(x9431,f141(x9432,x9433))+~P13(f149(f149(f42(x9432,x9433,x9431),x9434),f149(f42(x9432,x9433,x9431),f42(x9432,x9433,x9431))),x9432)
% 3.08/3.15 [739]~P13(x7391,x7395)+E(x7391,x7392)+E(x7391,x7393)+E(x7391,x7394)+~E(x7395,f151(x7394,x7393,x7392))
% 3.08/3.15 [847]~P19(x8474)+~P19(x8473)+P13(x8471,x8472)+~E(x8473,f136(x8474,x8472))+~P13(f149(f149(x8471,x8475),f149(x8471,x8471)),x8473)
% 3.08/3.15 [848]~P19(x8484)+~P19(x8483)+P13(x8481,x8482)+~E(x8483,f144(x8482,x8484))+~P13(f149(f149(x8485,x8481),f149(x8485,x8485)),x8483)
% 3.08/3.15 [858]~P19(x8583)+P13(x8581,x8582)+~P13(x8585,x8584)+~E(x8582,f139(x8583,x8584))+~P13(f149(f149(x8585,x8581),f149(x8585,x8585)),x8583)
% 3.08/3.15 [859]~P19(x8593)+P13(x8591,x8592)+~P13(x8595,x8594)+~E(x8592,f141(x8593,x8594))+~P13(f149(f149(x8591,x8595),f149(x8591,x8591)),x8593)
% 3.08/3.15 [882]~P19(x8824)+~P19(x8823)+~E(x8824,f136(x8823,x8825))+~P13(f149(f149(x8821,x8822),f149(x8821,x8821)),x8824)+P13(f149(f149(x8821,x8822),f149(x8821,x8821)),x8823)
% 3.08/3.15 [883]~P19(x8834)+~P19(x8833)+~E(x8834,f144(x8835,x8833))+~P13(f149(f149(x8831,x8832),f149(x8831,x8831)),x8834)+P13(f149(f149(x8831,x8832),f149(x8831,x8831)),x8833)
% 3.08/3.15 [888]~P13(x8885,x8883)+~P13(x8884,x8882)+~P13(f61(x8882,x8883,x8881),x8881)+E(x8881,f3(x8882,x8883))+~E(f61(x8882,x8883,x8881),f149(f149(x8884,x8885),f149(x8884,x8884)))
% 3.08/3.15 [796]~P13(x7966,x7964)+~P13(x7965,x7963)+P13(x7961,x7962)+~E(x7962,f3(x7963,x7964))+~E(x7961,f149(f149(x7965,x7966),f149(x7965,x7965)))
% 3.08/3.15 [675]P13(x6752,x6751)+P13(x6751,x6752)+~P13(x6752,x6753)+~P13(x6751,x6753)+E(x6751,x6752)+~P10(x6753)
% 3.08/3.15 [711]~P11(x7112)+~P11(x7113)+~P13(x7113,x7111)+~P24(x7111,x7112)+E(x7111,a1)+P21(f19(x7111,x7112),x7113)
% 3.08/3.15 [781]~P8(x7812)+~P19(x7812)+~P13(x7813,f5(x7812))+~P13(f85(x7812,x7811),x7811)+~E(f85(x7812,x7811),f2(x7812,x7813))+E(x7811,f135(x7812))
% 3.08/3.15 [765]~P8(x7652)+~P8(x7651)+~P19(x7652)+~P19(x7651)+~P13(x7653,f5(x7651))+E(f2(f134(x7651,x7652),x7653),f2(x7652,f2(x7651,x7653)))
% 3.08/3.15 [783]~P8(x7832)+~P19(x7833)+~P19(x7832)+~P8(x7833)+P13(x7831,f5(x7832))+~P13(x7831,f5(f134(x7832,x7833)))
% 3.08/3.15 [794]~P8(x7943)+~P8(x7941)+~P19(x7943)+~P19(x7941)+P13(f2(x7941,x7942),f5(x7943))+~P13(x7942,f5(f134(x7941,x7943)))
% 3.08/3.15 [814]~P8(x8141)+~P8(x8142)+~P19(x8141)+~P19(x8142)+E(f2(f134(x8141,x8142),x8143),f2(x8142,f2(x8141,x8143)))+~P13(x8143,f5(f134(x8141,x8142)))
% 3.08/3.15 [919]~P8(x9192)+~P19(x9192)+~P13(f21(x9192,x9193,x9191),x9191)+~P13(f21(x9192,x9193,x9191),f5(x9192))+E(x9191,f141(x9192,x9193))+~P13(f2(x9192,f21(x9192,x9193,x9191)),x9193)
% 3.08/3.15 [736]~P8(x7362)+~P8(x7361)+~P19(x7362)+~P19(x7361)+~E(x7361,f136(x7362,x7363))+E(f5(x7361),f143(f5(x7362),f143(f5(x7362),x7363)))
% 3.08/3.15 [946]~P19(x9461)+~P19(x9463)+~P19(x9462)+E(x9461,f134(x9462,x9463))+P13(f149(f149(f100(x9462,x9463,x9461),f101(x9462,x9463,x9461)),f149(f100(x9462,x9463,x9461),f100(x9462,x9463,x9461))),x9461)+P13(f149(f149(f100(x9462,x9463,x9461),f102(x9462,x9463,x9461)),f149(f100(x9462,x9463,x9461),f100(x9462,x9463,x9461))),x9462)
% 3.08/3.15 [947]~P19(x9471)+~P19(x9473)+~P19(x9472)+E(x9471,f134(x9472,x9473))+P13(f149(f149(f100(x9472,x9473,x9471),f101(x9472,x9473,x9471)),f149(f100(x9472,x9473,x9471),f100(x9472,x9473,x9471))),x9471)+P13(f149(f149(f102(x9472,x9473,x9471),f101(x9472,x9473,x9471)),f149(f102(x9472,x9473,x9471),f102(x9472,x9473,x9471))),x9473)
% 3.08/3.15 [949]~P19(x9491)+~P19(x9492)+~P13(f67(x9492,x9493,x9491),x9493)+E(x9491,f136(x9492,x9493))+~P13(f149(f149(f67(x9492,x9493,x9491),f79(x9492,x9493,x9491)),f149(f67(x9492,x9493,x9491),f67(x9492,x9493,x9491))),x9491)+~P13(f149(f149(f67(x9492,x9493,x9491),f79(x9492,x9493,x9491)),f149(f67(x9492,x9493,x9491),f67(x9492,x9493,x9491))),x9492)
% 3.08/3.15 [950]~P19(x9501)+~P19(x9503)+~P13(f131(x9502,x9503,x9501),x9502)+E(x9501,f144(x9502,x9503))+~P13(f149(f149(f119(x9502,x9503,x9501),f131(x9502,x9503,x9501)),f149(f119(x9502,x9503,x9501),f119(x9502,x9503,x9501))),x9501)+~P13(f149(f149(f119(x9502,x9503,x9501),f131(x9502,x9503,x9501)),f149(f119(x9502,x9503,x9501),f119(x9502,x9503,x9501))),x9503)
% 3.08/3.15 [702]~P8(x7023)+~P19(x7023)+P13(x7021,x7022)+~P13(x7024,f5(x7023))+~E(x7021,f2(x7023,x7024))+~E(x7022,f135(x7023))
% 3.08/3.15 [773]~P8(x7733)+~P19(x7733)+P13(x7731,x7732)+~P13(x7731,f5(x7733))+~P13(f2(x7733,x7731),x7734)+~E(x7732,f141(x7733,x7734))
% 3.08/3.15 [813]~P13(x8132,x8134)+~P2(x8132,f132(x8131))+P13(f147(x8131,x8132),x8133)+~E(x8134,f4(x8131,x8133))+~P2(x8133,f132(f132(x8131)))+~P2(x8134,f132(f132(x8131)))
% 3.08/3.15 [815]P13(x8151,x8152)+~P2(x8151,f132(x8153))+~P13(f147(x8153,x8151),x8154)+~E(x8152,f4(x8153,x8154))+~P2(x8152,f132(f132(x8153)))+~P2(x8154,f132(f132(x8153)))
% 3.08/3.15 [884]~P19(x8843)+~P19(x8845)+~P13(x8842,x8844)+~E(x8843,f144(x8844,x8845))+~P13(f149(f149(x8841,x8842),f149(x8841,x8841)),x8845)+P13(f149(f149(x8841,x8842),f149(x8841,x8841)),x8843)
% 3.08/3.15 [885]~P19(x8853)+~P19(x8854)+~P13(x8851,x8855)+~E(x8853,f136(x8854,x8855))+~P13(f149(f149(x8851,x8852),f149(x8851,x8851)),x8854)+P13(f149(f149(x8851,x8852),f149(x8851,x8851)),x8853)
% 3.08/3.15 [953]~P19(x9534)+~P19(x9533)+~P19(x9532)+~E(x9534,f134(x9532,x9533))+~P13(f149(f149(x9531,x9535),f149(x9531,x9531)),x9534)+P13(f149(f149(x9531,f99(x9532,x9533,x9534,x9531,x9535)),f149(x9531,x9531)),x9532)
% 3.08/3.15 [954]~P19(x9543)+~P19(x9542)+~P19(x9541)+~E(x9543,f134(x9541,x9542))+~P13(f149(f149(x9544,x9545),f149(x9544,x9544)),x9543)+P13(f149(f149(f99(x9541,x9542,x9543,x9544,x9545),x9545),f149(f99(x9541,x9542,x9543,x9544,x9545),f99(x9541,x9542,x9543,x9544,x9545))),x9542)
% 3.08/3.15 [577]~P19(x5771)+~P4(x5771)+~P6(x5771)+~P26(x5771)+~P25(x5771)+~P22(x5771)+P27(x5771)
% 3.08/3.15 [760]~P19(x7601)+~P14(x7601,x7602)+~P15(x7601,x7602)+~P16(x7601,x7602)+~P17(x7601,x7602)+~P18(x7601,x7602)+P28(x7601,x7602)
% 3.08/3.15 [588]~P8(x5881)+~P8(x5882)+~P19(x5881)+~P19(x5882)+~P12(x5881)+~E(x5882,f129(x5881))+E(f135(x5881),f5(x5882))
% 3.08/3.15 [753]~P8(x7533)+~P19(x7533)+~P12(x7533)+E(x7531,x7532)+~P13(x7532,f5(x7533))+~P13(x7531,f5(x7533))+~E(f2(x7533,x7531),f2(x7533,x7532))
% 3.08/3.15 [805]~P8(x8053)+~P8(x8052)+~P19(x8053)+~P19(x8052)+~P13(x8051,f5(x8052))+~P13(f2(x8052,x8051),f5(x8053))+P13(x8051,f5(f134(x8052,x8053)))
% 3.08/3.15 [868]~P19(x8683)+~P6(x8683)+E(x8681,x8682)+~P13(x8682,f140(x8683))+~P13(x8681,f140(x8683))+P13(f149(f149(x8681,x8682),f149(x8681,x8681)),x8683)+P13(f149(f149(x8682,x8681),f149(x8682,x8682)),x8683)
% 3.08/3.15 [843]~P8(x8432)+~P8(x8431)+~P19(x8432)+~P19(x8431)+P13(f31(x8433,x8431,x8432),f5(x8431))+E(x8431,f136(x8432,x8433))+~E(f5(x8431),f143(f5(x8432),f143(f5(x8432),x8433)))
% 3.08/3.15 [893]~P8(x8932)+~P8(x8931)+~P19(x8932)+~P19(x8931)+E(x8931,f136(x8932,x8933))+~E(f2(x8931,f31(x8933,x8931,x8932)),f2(x8932,f31(x8933,x8931,x8932)))+~E(f5(x8931),f143(f5(x8932),f143(f5(x8932),x8933)))
% 3.08/3.15 [733]~P8(x7333)+~P8(x7331)+~P19(x7333)+~P19(x7331)+~P13(x7332,f5(x7331))+E(f2(x7331,x7332),f2(x7333,x7332))+~E(x7331,f136(x7333,x7334))
% 3.08/3.15 [871]~P8(x8712)+~P19(x8712)+~P13(x8714,x8713)+~P13(x8714,f5(x8712))+~P13(f98(x8712,x8713,x8711),x8711)+~E(f98(x8712,x8713,x8711),f2(x8712,x8714))+E(x8711,f139(x8712,x8713))
% 3.08/3.15 [867]~P19(x8673)+~P13(x8671,x8674)+~P15(x8673,x8674)+E(x8671,x8672)+~P13(x8672,x8674)+P13(f149(f149(x8671,x8672),f149(x8671,x8671)),x8673)+P13(f149(f149(x8672,x8671),f149(x8672,x8672)),x8673)
% 3.08/3.15 [894]~P13(x8941,x8944)+~P14(x8943,x8944)+E(x8941,x8942)+~P13(x8942,x8944)+~P19(x8943)+~P13(f149(f149(x8942,x8941),f149(x8942,x8942)),x8943)+~P13(f149(f149(x8941,x8942),f149(x8941,x8941)),x8943)
% 3.08/3.15 [951]~P19(x9511)+~P19(x9513)+~P19(x9512)+E(x9511,f134(x9512,x9513))+~P13(f149(f149(x9514,f101(x9512,x9513,x9511)),f149(x9514,x9514)),x9513)+~P13(f149(f149(f100(x9512,x9513,x9511),x9514),f149(f100(x9512,x9513,x9511),f100(x9512,x9513,x9511))),x9512)+~P13(f149(f149(f100(x9512,x9513,x9511),f101(x9512,x9513,x9511)),f149(f100(x9512,x9513,x9511),f100(x9512,x9513,x9511))),x9511)
% 3.08/3.15 [750]~P8(x7503)+~P19(x7503)+~P13(x7505,x7504)+P13(x7501,x7502)+~P13(x7505,f5(x7503))+~E(x7502,f139(x7503,x7504))+~E(x7501,f2(x7503,x7505))
% 3.08/3.15 [915]~P19(x9153)+~P19(x9155)+~P19(x9154)+~E(x9153,f134(x9154,x9155))+~P13(f149(f149(x9151,x9156),f149(x9151,x9151)),x9154)+P13(f149(f149(x9151,x9152),f149(x9151,x9151)),x9153)+~P13(f149(f149(x9156,x9152),f149(x9156,x9156)),x9155)
% 3.08/3.15 [916]~P19(x9163)+~P13(x9161,x9164)+~P16(x9163,x9164)+~P13(x9162,x9164)+~P13(x9165,x9164)+~P13(f149(f149(x9165,x9162),f149(x9165,x9165)),x9163)+~P13(f149(f149(x9161,x9165),f149(x9161,x9161)),x9163)+P13(f149(f149(x9161,x9162),f149(x9161,x9161)),x9163)
% 3.08/3.15 [772]~P8(x7721)+~P8(x7722)+~P19(x7721)+~P19(x7722)+~P12(x7722)+P13(f25(x7722,x7721),f135(x7722))+P13(f26(x7722,x7721),f5(x7722))+~E(f135(x7722),f5(x7721))+E(x7721,f129(x7722))
% 3.08/3.15 [779]~P8(x7791)+~P8(x7792)+~P19(x7791)+~P19(x7792)+~P12(x7792)+P13(f26(x7792,x7791),f5(x7792))+~E(f135(x7792),f5(x7791))+E(x7791,f129(x7792))+E(f2(x7791,f25(x7792,x7791)),f27(x7792,x7791))
% 3.08/3.15 [780]~P8(x7801)+~P8(x7802)+~P19(x7801)+~P19(x7802)+~P12(x7802)+P13(f25(x7802,x7801),f135(x7802))+~E(f135(x7802),f5(x7801))+E(x7801,f129(x7802))+E(f2(x7802,f26(x7802,x7801)),f28(x7802,x7801))
% 3.08/3.15 [782]~P8(x7821)+~P8(x7822)+~P19(x7821)+~P19(x7822)+~P12(x7822)+~E(f135(x7822),f5(x7821))+E(x7821,f129(x7822))+E(f2(x7821,f25(x7822,x7821)),f27(x7822,x7821))+E(f2(x7822,f26(x7822,x7821)),f28(x7822,x7821))
% 3.08/3.15 [737]~P8(x7374)+~P8(x7372)+~P19(x7374)+~P19(x7372)+~P12(x7372)+~E(x7373,f2(x7374,x7371))+~P13(x7371,f135(x7372))+E(x7371,f2(x7372,x7373))+~E(x7374,f129(x7372))
% 3.08/3.15 [738]~P8(x7384)+~P8(x7382)+~P19(x7384)+~P19(x7382)+~P12(x7384)+~E(x7383,f2(x7384,x7381))+~P13(x7381,f5(x7384))+E(x7381,f2(x7382,x7383))+~E(x7382,f129(x7384))
% 3.08/3.15 [742]~P8(x7423)+~P8(x7422)+~P19(x7423)+~P19(x7422)+~P12(x7422)+~P13(x7424,f135(x7422))+P13(x7421,f5(x7422))+~E(x7421,f2(x7423,x7424))+~E(x7423,f129(x7422))
% 3.08/3.15 [743]~P8(x7433)+~P8(x7432)+~P19(x7433)+~P19(x7432)+~P12(x7432)+~P13(x7434,f5(x7432))+P13(x7431,f135(x7432))+~E(x7431,f2(x7432,x7434))+~E(x7433,f129(x7432))
% 3.08/3.15 [836]~P8(x8361)+~P8(x8362)+~P19(x8361)+~P19(x8362)+~P12(x8362)+P13(f25(x8362,x8361),f135(x8362))+~E(f135(x8362),f5(x8361))+~P13(f28(x8362,x8361),f135(x8362))+E(x8361,f129(x8362))+~E(f2(x8361,f28(x8362,x8361)),f26(x8362,x8361))
% 3.08/3.15 [837]~P8(x8371)+~P8(x8372)+~P19(x8371)+~P19(x8372)+~P12(x8372)+P13(f26(x8372,x8371),f5(x8372))+~E(f135(x8372),f5(x8371))+~P13(f27(x8372,x8371),f5(x8372))+E(x8371,f129(x8372))+~E(f2(x8372,f27(x8372,x8371)),f25(x8372,x8371))
% 3.08/3.15 [841]~P8(x8411)+~P8(x8412)+~P19(x8411)+~P19(x8412)+~P12(x8412)+~E(f135(x8412),f5(x8411))+~P13(f28(x8412,x8411),f135(x8412))+E(x8411,f129(x8412))+E(f2(x8411,f25(x8412,x8411)),f27(x8412,x8411))+~E(f2(x8411,f28(x8412,x8411)),f26(x8412,x8411))
% 3.08/3.15 [842]~P8(x8421)+~P8(x8422)+~P19(x8421)+~P19(x8422)+~P12(x8422)+~E(f135(x8422),f5(x8421))+~P13(f27(x8422,x8421),f5(x8422))+E(x8421,f129(x8422))+E(f2(x8422,f26(x8422,x8421)),f28(x8422,x8421))+~E(f2(x8422,f27(x8422,x8421)),f25(x8422,x8421))
% 3.08/3.15 [869]~P8(x8691)+~P8(x8692)+~P19(x8691)+~P19(x8692)+~P12(x8692)+~E(f135(x8692),f5(x8691))+~P13(f27(x8692,x8691),f5(x8692))+~P13(f28(x8692,x8691),f135(x8692))+E(x8691,f129(x8692))+~E(f2(x8692,f27(x8692,x8691)),f25(x8692,x8691))+~E(f2(x8691,f28(x8692,x8691)),f26(x8692,x8691))
% 3.08/3.15 %EqnAxiom
% 3.08/3.15 [1]E(x11,x11)
% 3.08/3.15 [2]E(x22,x21)+~E(x21,x22)
% 3.08/3.15 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.08/3.15 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 3.08/3.15 [5]~E(x51,x52)+E(f135(x51),f135(x52))
% 3.08/3.15 [6]~E(x61,x62)+E(f124(x61),f124(x62))
% 3.08/3.15 [7]~E(x71,x72)+E(f128(x71),f128(x72))
% 3.08/3.15 [8]~E(x81,x82)+E(f41(x81,x83,x84),f41(x82,x83,x84))
% 3.08/3.15 [9]~E(x91,x92)+E(f41(x93,x91,x94),f41(x93,x92,x94))
% 3.08/3.15 [10]~E(x101,x102)+E(f41(x103,x104,x101),f41(x103,x104,x102))
% 3.08/3.15 [11]~E(x111,x112)+E(f149(x111,x113),f149(x112,x113))
% 3.08/3.15 [12]~E(x121,x122)+E(f149(x123,x121),f149(x123,x122))
% 3.08/3.15 [13]~E(x131,x132)+E(f40(x131,x133,x134),f40(x132,x133,x134))
% 3.08/3.15 [14]~E(x141,x142)+E(f40(x143,x141,x144),f40(x143,x142,x144))
% 3.08/3.15 [15]~E(x151,x152)+E(f40(x153,x154,x151),f40(x153,x154,x152))
% 3.08/3.15 [16]~E(x161,x162)+E(f59(x161,x163),f59(x162,x163))
% 3.08/3.15 [17]~E(x171,x172)+E(f59(x173,x171),f59(x173,x172))
% 3.08/3.15 [18]~E(x181,x182)+E(f132(x181),f132(x182))
% 3.08/3.15 [19]~E(x191,x192)+E(f142(x191),f142(x192))
% 3.08/3.15 [20]~E(x201,x202)+E(f94(x201,x203),f94(x202,x203))
% 3.08/3.15 [21]~E(x211,x212)+E(f94(x213,x211),f94(x213,x212))
% 3.08/3.15 [22]~E(x221,x222)+E(f100(x221,x223,x224),f100(x222,x223,x224))
% 3.08/3.15 [23]~E(x231,x232)+E(f100(x233,x231,x234),f100(x233,x232,x234))
% 3.08/3.15 [24]~E(x241,x242)+E(f100(x243,x244,x241),f100(x243,x244,x242))
% 3.08/3.15 [25]~E(x251,x252)+E(f143(x251,x253),f143(x252,x253))
% 3.08/3.15 [26]~E(x261,x262)+E(f143(x263,x261),f143(x263,x262))
% 3.08/3.15 [27]~E(x271,x272)+E(f145(x271,x273),f145(x272,x273))
% 3.08/3.15 [28]~E(x281,x282)+E(f145(x283,x281),f145(x283,x282))
% 3.08/3.15 [29]~E(x291,x292)+E(f2(x291,x293),f2(x292,x293))
% 3.08/3.15 [30]~E(x301,x302)+E(f2(x303,x301),f2(x303,x302))
% 3.08/3.15 [31]~E(x311,x312)+E(f98(x311,x313,x314),f98(x312,x313,x314))
% 3.08/3.15 [32]~E(x321,x322)+E(f98(x323,x321,x324),f98(x323,x322,x324))
% 3.08/3.15 [33]~E(x331,x332)+E(f98(x333,x334,x331),f98(x333,x334,x332))
% 3.08/3.15 [34]~E(x341,x342)+E(f140(x341),f140(x342))
% 3.08/3.15 [35]~E(x351,x352)+E(f31(x351,x353,x354),f31(x352,x353,x354))
% 3.08/3.15 [36]~E(x361,x362)+E(f31(x363,x361,x364),f31(x363,x362,x364))
% 3.08/3.15 [37]~E(x371,x372)+E(f31(x373,x374,x371),f31(x373,x374,x372))
% 3.08/3.15 [38]~E(x381,x382)+E(f10(x381),f10(x382))
% 3.08/3.15 [39]~E(x391,x392)+E(f14(x391),f14(x392))
% 3.08/3.15 [40]~E(x401,x402)+E(f129(x401),f129(x402))
% 3.08/3.15 [41]~E(x411,x412)+E(f33(x411),f33(x412))
% 3.08/3.15 [42]~E(x421,x422)+E(f138(x421),f138(x422))
% 3.08/3.15 [43]~E(x431,x432)+E(f45(x431,x433),f45(x432,x433))
% 3.08/3.15 [44]~E(x441,x442)+E(f45(x443,x441),f45(x443,x442))
% 3.08/3.15 [45]~E(x451,x452)+E(f60(x451,x453),f60(x452,x453))
% 3.08/3.15 [46]~E(x461,x462)+E(f60(x463,x461),f60(x463,x462))
% 3.08/3.15 [47]~E(x471,x472)+E(f111(x471,x473,x474),f111(x472,x473,x474))
% 3.08/3.15 [48]~E(x481,x482)+E(f111(x483,x481,x484),f111(x483,x482,x484))
% 3.08/3.15 [49]~E(x491,x492)+E(f111(x493,x494,x491),f111(x493,x494,x492))
% 3.08/3.15 [50]~E(x501,x502)+E(f107(x501),f107(x502))
% 3.08/3.15 [51]~E(x511,x512)+E(f131(x511,x513,x514),f131(x512,x513,x514))
% 3.08/3.15 [52]~E(x521,x522)+E(f131(x523,x521,x524),f131(x523,x522,x524))
% 3.08/3.15 [53]~E(x531,x532)+E(f131(x533,x534,x531),f131(x533,x534,x532))
% 3.08/3.15 [54]~E(x541,x542)+E(f27(x541,x543),f27(x542,x543))
% 3.08/3.15 [55]~E(x551,x552)+E(f27(x553,x551),f27(x553,x552))
% 3.08/3.15 [56]~E(x561,x562)+E(f102(x561,x563,x564),f102(x562,x563,x564))
% 3.08/3.15 [57]~E(x571,x572)+E(f102(x573,x571,x574),f102(x573,x572,x574))
% 3.08/3.15 [58]~E(x581,x582)+E(f102(x583,x584,x581),f102(x583,x584,x582))
% 3.08/3.15 [59]~E(x591,x592)+E(f139(x591,x593),f139(x592,x593))
% 3.08/3.15 [60]~E(x601,x602)+E(f139(x603,x601),f139(x603,x602))
% 3.08/3.15 [61]~E(x611,x612)+E(f62(x611,x613,x614),f62(x612,x613,x614))
% 3.08/3.15 [62]~E(x621,x622)+E(f62(x623,x621,x624),f62(x623,x622,x624))
% 3.08/3.15 [63]~E(x631,x632)+E(f62(x633,x634,x631),f62(x633,x634,x632))
% 3.08/3.15 [64]~E(x641,x642)+E(f83(x641,x643,x644),f83(x642,x643,x644))
% 3.08/3.15 [65]~E(x651,x652)+E(f83(x653,x651,x654),f83(x653,x652,x654))
% 3.08/3.15 [66]~E(x661,x662)+E(f83(x663,x664,x661),f83(x663,x664,x662))
% 3.08/3.15 [67]~E(x671,x672)+E(f26(x671,x673),f26(x672,x673))
% 3.08/3.15 [68]~E(x681,x682)+E(f26(x683,x681),f26(x683,x682))
% 3.08/3.15 [69]~E(x691,x692)+E(f71(x691,x693),f71(x692,x693))
% 3.08/3.15 [70]~E(x701,x702)+E(f71(x703,x701),f71(x703,x702))
% 3.08/3.15 [71]~E(x711,x712)+E(f106(x711),f106(x712))
% 3.08/3.15 [72]~E(x721,x722)+E(f25(x721,x723),f25(x722,x723))
% 3.08/3.15 [73]~E(x731,x732)+E(f25(x733,x731),f25(x733,x732))
% 3.08/3.15 [74]~E(x741,x742)+E(f134(x741,x743),f134(x742,x743))
% 3.08/3.15 [75]~E(x751,x752)+E(f134(x753,x751),f134(x753,x752))
% 3.08/3.15 [76]~E(x761,x762)+E(f15(x761),f15(x762))
% 3.08/3.15 [77]~E(x771,x772)+E(f28(x771,x773),f28(x772,x773))
% 3.08/3.15 [78]~E(x781,x782)+E(f28(x783,x781),f28(x783,x782))
% 3.08/3.15 [79]~E(x791,x792)+E(f119(x791,x793,x794),f119(x792,x793,x794))
% 3.08/3.15 [80]~E(x801,x802)+E(f119(x803,x801,x804),f119(x803,x802,x804))
% 3.08/3.15 [81]~E(x811,x812)+E(f119(x813,x814,x811),f119(x813,x814,x812))
% 3.08/3.15 [82]~E(x821,x822)+E(f12(x821,x823,x824),f12(x822,x823,x824))
% 3.08/3.15 [83]~E(x831,x832)+E(f12(x833,x831,x834),f12(x833,x832,x834))
% 3.08/3.15 [84]~E(x841,x842)+E(f12(x843,x844,x841),f12(x843,x844,x842))
% 3.08/3.15 [85]~E(x851,x852)+E(f147(x851,x853),f147(x852,x853))
% 3.08/3.15 [86]~E(x861,x862)+E(f147(x863,x861),f147(x863,x862))
% 3.08/3.15 [87]~E(x871,x872)+E(f136(x871,x873),f136(x872,x873))
% 3.08/3.15 [88]~E(x881,x882)+E(f136(x883,x881),f136(x883,x882))
% 3.08/3.15 [89]~E(x891,x892)+E(f78(x891,x893),f78(x892,x893))
% 3.08/3.15 [90]~E(x901,x902)+E(f78(x903,x901),f78(x903,x902))
% 3.08/3.15 [91]~E(x911,x912)+E(f17(x911,x913),f17(x912,x913))
% 3.08/3.15 [92]~E(x921,x922)+E(f17(x923,x921),f17(x923,x922))
% 3.08/3.15 [93]~E(x931,x932)+E(f63(x931,x933,x934,x935),f63(x932,x933,x934,x935))
% 3.08/3.15 [94]~E(x941,x942)+E(f63(x943,x941,x944,x945),f63(x943,x942,x944,x945))
% 3.08/3.15 [95]~E(x951,x952)+E(f63(x953,x954,x951,x955),f63(x953,x954,x952,x955))
% 3.08/3.15 [96]~E(x961,x962)+E(f63(x963,x964,x965,x961),f63(x963,x964,x965,x962))
% 3.08/3.15 [97]~E(x971,x972)+E(f67(x971,x973,x974),f67(x972,x973,x974))
% 3.08/3.15 [98]~E(x981,x982)+E(f67(x983,x981,x984),f67(x983,x982,x984))
% 3.08/3.15 [99]~E(x991,x992)+E(f67(x993,x994,x991),f67(x993,x994,x992))
% 3.08/3.15 [100]~E(x1001,x1002)+E(f85(x1001,x1003),f85(x1002,x1003))
% 3.08/3.15 [101]~E(x1011,x1012)+E(f85(x1013,x1011),f85(x1013,x1012))
% 3.08/3.15 [102]~E(x1021,x1022)+E(f88(x1021,x1023),f88(x1022,x1023))
% 3.08/3.15 [103]~E(x1031,x1032)+E(f88(x1033,x1031),f88(x1033,x1032))
% 3.08/3.15 [104]~E(x1041,x1042)+E(f141(x1041,x1043),f141(x1042,x1043))
% 3.08/3.15 [105]~E(x1051,x1052)+E(f141(x1053,x1051),f141(x1053,x1052))
% 3.08/3.15 [106]~E(x1061,x1062)+E(f130(x1061,x1063),f130(x1062,x1063))
% 3.08/3.15 [107]~E(x1071,x1072)+E(f130(x1073,x1071),f130(x1073,x1072))
% 3.08/3.15 [108]~E(x1081,x1082)+E(f50(x1081,x1083),f50(x1082,x1083))
% 3.08/3.15 [109]~E(x1091,x1092)+E(f50(x1093,x1091),f50(x1093,x1092))
% 3.08/3.15 [110]~E(x1101,x1102)+E(f144(x1101,x1103),f144(x1102,x1103))
% 3.08/3.15 [111]~E(x1111,x1112)+E(f144(x1113,x1111),f144(x1113,x1112))
% 3.08/3.15 [112]~E(x1121,x1122)+E(f137(x1121,x1123),f137(x1122,x1123))
% 3.08/3.15 [113]~E(x1131,x1132)+E(f137(x1133,x1131),f137(x1133,x1132))
% 3.08/3.15 [114]~E(x1141,x1142)+E(f109(x1141),f109(x1142))
% 3.08/3.15 [115]~E(x1151,x1152)+E(f146(x1151),f146(x1152))
% 3.08/3.15 [116]~E(x1161,x1162)+E(f74(x1161,x1163),f74(x1162,x1163))
% 3.08/3.15 [117]~E(x1171,x1172)+E(f74(x1173,x1171),f74(x1173,x1172))
% 3.08/3.15 [118]~E(x1181,x1182)+E(f133(x1181,x1183),f133(x1182,x1183))
% 3.08/3.15 [119]~E(x1191,x1192)+E(f133(x1193,x1191),f133(x1193,x1192))
% 3.08/3.15 [120]~E(x1201,x1202)+E(f80(x1201,x1203),f80(x1202,x1203))
% 3.08/3.15 [121]~E(x1211,x1212)+E(f80(x1213,x1211),f80(x1213,x1212))
% 3.08/3.15 [122]~E(x1221,x1222)+E(f81(x1221,x1223),f81(x1222,x1223))
% 3.08/3.15 [123]~E(x1231,x1232)+E(f81(x1233,x1231),f81(x1233,x1232))
% 3.08/3.15 [124]~E(x1241,x1242)+E(f93(x1241,x1243),f93(x1242,x1243))
% 3.08/3.15 [125]~E(x1251,x1252)+E(f93(x1253,x1251),f93(x1253,x1252))
% 3.08/3.15 [126]~E(x1261,x1262)+E(f108(x1261),f108(x1262))
% 3.08/3.15 [127]~E(x1271,x1272)+E(f103(x1271,x1273),f103(x1272,x1273))
% 3.08/3.15 [128]~E(x1281,x1282)+E(f103(x1283,x1281),f103(x1283,x1282))
% 3.08/3.15 [129]~E(x1291,x1292)+E(f91(x1291,x1293,x1294),f91(x1292,x1293,x1294))
% 3.08/3.15 [130]~E(x1301,x1302)+E(f91(x1303,x1301,x1304),f91(x1303,x1302,x1304))
% 3.08/3.15 [131]~E(x1311,x1312)+E(f91(x1313,x1314,x1311),f91(x1313,x1314,x1312))
% 3.08/3.15 [132]~E(x1321,x1322)+E(f23(x1321,x1323),f23(x1322,x1323))
% 3.08/3.15 [133]~E(x1331,x1332)+E(f23(x1333,x1331),f23(x1333,x1332))
% 3.08/3.15 [134]~E(x1341,x1342)+E(f34(x1341),f34(x1342))
% 3.08/3.15 [135]~E(x1351,x1352)+E(f35(x1351),f35(x1352))
% 3.08/3.15 [136]~E(x1361,x1362)+E(f13(x1361,x1363,x1364),f13(x1362,x1363,x1364))
% 3.08/3.15 [137]~E(x1371,x1372)+E(f13(x1373,x1371,x1374),f13(x1373,x1372,x1374))
% 3.08/3.15 [138]~E(x1381,x1382)+E(f13(x1383,x1384,x1381),f13(x1383,x1384,x1382))
% 3.08/3.15 [139]~E(x1391,x1392)+E(f87(x1391,x1393,x1394),f87(x1392,x1393,x1394))
% 3.08/3.15 [140]~E(x1401,x1402)+E(f87(x1403,x1401,x1404),f87(x1403,x1402,x1404))
% 3.08/3.15 [141]~E(x1411,x1412)+E(f87(x1413,x1414,x1411),f87(x1413,x1414,x1412))
% 3.08/3.15 [142]~E(x1421,x1422)+E(f86(x1421,x1423,x1424),f86(x1422,x1423,x1424))
% 3.08/3.15 [143]~E(x1431,x1432)+E(f86(x1433,x1431,x1434),f86(x1433,x1432,x1434))
% 3.08/3.15 [144]~E(x1441,x1442)+E(f86(x1443,x1444,x1441),f86(x1443,x1444,x1442))
% 3.08/3.15 [145]~E(x1451,x1452)+E(f110(x1451),f110(x1452))
% 3.08/3.15 [146]~E(x1461,x1462)+E(f21(x1461,x1463,x1464),f21(x1462,x1463,x1464))
% 3.08/3.15 [147]~E(x1471,x1472)+E(f21(x1473,x1471,x1474),f21(x1473,x1472,x1474))
% 3.08/3.15 [148]~E(x1481,x1482)+E(f21(x1483,x1484,x1481),f21(x1483,x1484,x1482))
% 3.08/3.15 [149]~E(x1491,x1492)+E(f51(x1491,x1493),f51(x1492,x1493))
% 3.08/3.15 [150]~E(x1501,x1502)+E(f51(x1503,x1501),f51(x1503,x1502))
% 3.08/3.15 [151]~E(x1511,x1512)+E(f4(x1511,x1513),f4(x1512,x1513))
% 3.08/3.15 [152]~E(x1521,x1522)+E(f4(x1523,x1521),f4(x1523,x1522))
% 3.08/3.15 [153]~E(x1531,x1532)+E(f46(x1531,x1533,x1534,x1535),f46(x1532,x1533,x1534,x1535))
% 3.08/3.15 [154]~E(x1541,x1542)+E(f46(x1543,x1541,x1544,x1545),f46(x1543,x1542,x1544,x1545))
% 3.08/3.15 [155]~E(x1551,x1552)+E(f46(x1553,x1554,x1551,x1555),f46(x1553,x1554,x1552,x1555))
% 3.08/3.15 [156]~E(x1561,x1562)+E(f46(x1563,x1564,x1565,x1561),f46(x1563,x1564,x1565,x1562))
% 3.08/3.15 [157]~E(x1571,x1572)+E(f48(x1571,x1573),f48(x1572,x1573))
% 3.08/3.15 [158]~E(x1581,x1582)+E(f48(x1583,x1581),f48(x1583,x1582))
% 3.08/3.15 [159]~E(x1591,x1592)+E(f3(x1591,x1593),f3(x1592,x1593))
% 3.08/3.15 [160]~E(x1601,x1602)+E(f3(x1603,x1601),f3(x1603,x1602))
% 3.08/3.15 [161]~E(x1611,x1612)+E(f151(x1611,x1613,x1614),f151(x1612,x1613,x1614))
% 3.08/3.15 [162]~E(x1621,x1622)+E(f151(x1623,x1621,x1624),f151(x1623,x1622,x1624))
% 3.08/3.15 [163]~E(x1631,x1632)+E(f151(x1633,x1634,x1631),f151(x1633,x1634,x1632))
% 3.08/3.15 [164]~E(x1641,x1642)+E(f97(x1641,x1643),f97(x1642,x1643))
% 3.08/3.15 [165]~E(x1651,x1652)+E(f97(x1653,x1651),f97(x1653,x1652))
% 3.08/3.15 [166]~E(x1661,x1662)+E(f73(x1661,x1663,x1664),f73(x1662,x1663,x1664))
% 3.08/3.15 [167]~E(x1671,x1672)+E(f73(x1673,x1671,x1674),f73(x1673,x1672,x1674))
% 3.08/3.15 [168]~E(x1681,x1682)+E(f73(x1683,x1684,x1681),f73(x1683,x1684,x1682))
% 3.08/3.15 [169]~E(x1691,x1692)+E(f56(x1691,x1693),f56(x1692,x1693))
% 3.08/3.15 [170]~E(x1701,x1702)+E(f56(x1703,x1701),f56(x1703,x1702))
% 3.08/3.15 [171]~E(x1711,x1712)+E(f79(x1711,x1713,x1714),f79(x1712,x1713,x1714))
% 3.08/3.15 [172]~E(x1721,x1722)+E(f79(x1723,x1721,x1724),f79(x1723,x1722,x1724))
% 3.08/3.15 [173]~E(x1731,x1732)+E(f79(x1733,x1734,x1731),f79(x1733,x1734,x1732))
% 3.08/3.15 [174]~E(x1741,x1742)+E(f92(x1741,x1743),f92(x1742,x1743))
% 3.08/3.15 [175]~E(x1751,x1752)+E(f92(x1753,x1751),f92(x1753,x1752))
% 3.08/3.15 [176]~E(x1761,x1762)+E(f36(x1761),f36(x1762))
% 3.08/3.15 [177]~E(x1771,x1772)+E(f118(x1771),f118(x1772))
% 3.08/3.15 [178]~E(x1781,x1782)+E(f39(x1781,x1783),f39(x1782,x1783))
% 3.08/3.15 [179]~E(x1791,x1792)+E(f39(x1793,x1791),f39(x1793,x1792))
% 3.08/3.15 [180]~E(x1801,x1802)+E(f113(x1801),f113(x1802))
% 3.08/3.15 [181]~E(x1811,x1812)+E(f99(x1811,x1813,x1814,x1815,x1816),f99(x1812,x1813,x1814,x1815,x1816))
% 3.08/3.15 [182]~E(x1821,x1822)+E(f99(x1823,x1821,x1824,x1825,x1826),f99(x1823,x1822,x1824,x1825,x1826))
% 3.08/3.15 [183]~E(x1831,x1832)+E(f99(x1833,x1834,x1831,x1835,x1836),f99(x1833,x1834,x1832,x1835,x1836))
% 3.08/3.15 [184]~E(x1841,x1842)+E(f99(x1843,x1844,x1845,x1841,x1846),f99(x1843,x1844,x1845,x1842,x1846))
% 3.08/3.15 [185]~E(x1851,x1852)+E(f99(x1853,x1854,x1855,x1856,x1851),f99(x1853,x1854,x1855,x1856,x1852))
% 3.08/3.15 [186]~E(x1861,x1862)+E(f58(x1861,x1863),f58(x1862,x1863))
% 3.08/3.15 [187]~E(x1871,x1872)+E(f58(x1873,x1871),f58(x1873,x1872))
% 3.08/3.15 [188]~E(x1881,x1882)+E(f19(x1881,x1883),f19(x1882,x1883))
% 3.08/3.15 [189]~E(x1891,x1892)+E(f19(x1893,x1891),f19(x1893,x1892))
% 3.08/3.15 [190]~E(x1901,x1902)+E(f52(x1901,x1903,x1904),f52(x1902,x1903,x1904))
% 3.08/3.15 [191]~E(x1911,x1912)+E(f52(x1913,x1911,x1914),f52(x1913,x1912,x1914))
% 3.08/3.15 [192]~E(x1921,x1922)+E(f52(x1923,x1924,x1921),f52(x1923,x1924,x1922))
% 3.08/3.15 [193]~E(x1931,x1932)+E(f37(x1931),f37(x1932))
% 3.08/3.15 [194]~E(x1941,x1942)+E(f32(x1941,x1943,x1944,x1945),f32(x1942,x1943,x1944,x1945))
% 3.08/3.15 [195]~E(x1951,x1952)+E(f32(x1953,x1951,x1954,x1955),f32(x1953,x1952,x1954,x1955))
% 3.08/3.15 [196]~E(x1961,x1962)+E(f32(x1963,x1964,x1961,x1965),f32(x1963,x1964,x1962,x1965))
% 3.08/3.15 [197]~E(x1971,x1972)+E(f32(x1973,x1974,x1975,x1971),f32(x1973,x1974,x1975,x1972))
% 3.08/3.15 [198]~E(x1981,x1982)+E(f22(x1981),f22(x1982))
% 3.08/3.15 [199]~E(x1991,x1992)+E(f105(x1991,x1993,x1994),f105(x1992,x1993,x1994))
% 3.08/3.15 [200]~E(x2001,x2002)+E(f105(x2003,x2001,x2004),f105(x2003,x2002,x2004))
% 3.08/3.15 [201]~E(x2011,x2012)+E(f105(x2013,x2014,x2011),f105(x2013,x2014,x2012))
% 3.08/3.15 [202]~E(x2021,x2022)+E(f57(x2021,x2023,x2024),f57(x2022,x2023,x2024))
% 3.08/3.15 [203]~E(x2031,x2032)+E(f57(x2033,x2031,x2034),f57(x2033,x2032,x2034))
% 3.08/3.15 [204]~E(x2041,x2042)+E(f57(x2043,x2044,x2041),f57(x2043,x2044,x2042))
% 3.08/3.15 [205]~E(x2051,x2052)+E(f104(x2051,x2053),f104(x2052,x2053))
% 3.08/3.15 [206]~E(x2061,x2062)+E(f104(x2063,x2061),f104(x2063,x2062))
% 3.08/3.15 [207]~E(x2071,x2072)+E(f114(x2071),f114(x2072))
% 3.08/3.15 [208]~E(x2081,x2082)+E(f77(x2081,x2083),f77(x2082,x2083))
% 3.08/3.15 [209]~E(x2091,x2092)+E(f77(x2093,x2091),f77(x2093,x2092))
% 3.08/3.15 [210]~E(x2101,x2102)+E(f75(x2101,x2103,x2104),f75(x2102,x2103,x2104))
% 3.08/3.15 [211]~E(x2111,x2112)+E(f75(x2113,x2111,x2114),f75(x2113,x2112,x2114))
% 3.08/3.15 [212]~E(x2121,x2122)+E(f75(x2123,x2124,x2121),f75(x2123,x2124,x2122))
% 3.08/3.15 [213]~E(x2131,x2132)+E(f16(x2131),f16(x2132))
% 3.08/3.15 [214]~E(x2141,x2142)+E(f54(x2141),f54(x2142))
% 3.08/3.15 [215]~E(x2151,x2152)+E(f101(x2151,x2153,x2154),f101(x2152,x2153,x2154))
% 3.08/3.15 [216]~E(x2161,x2162)+E(f101(x2163,x2161,x2164),f101(x2163,x2162,x2164))
% 3.08/3.15 [217]~E(x2171,x2172)+E(f101(x2173,x2174,x2171),f101(x2173,x2174,x2172))
% 3.08/3.15 [218]~E(x2181,x2182)+E(f150(x2181,x2183),f150(x2182,x2183))
% 3.08/3.15 [219]~E(x2191,x2192)+E(f150(x2193,x2191),f150(x2193,x2192))
% 3.08/3.15 [220]~E(x2201,x2202)+E(f38(x2201),f38(x2202))
% 3.08/3.15 [221]~E(x2211,x2212)+E(f65(x2211,x2213,x2214),f65(x2212,x2213,x2214))
% 3.08/3.15 [222]~E(x2221,x2222)+E(f65(x2223,x2221,x2224),f65(x2223,x2222,x2224))
% 3.08/3.15 [223]~E(x2231,x2232)+E(f65(x2233,x2234,x2231),f65(x2233,x2234,x2232))
% 3.08/3.15 [224]~E(x2241,x2242)+E(f90(x2241,x2243,x2244,x2245),f90(x2242,x2243,x2244,x2245))
% 3.08/3.15 [225]~E(x2251,x2252)+E(f90(x2253,x2251,x2254,x2255),f90(x2253,x2252,x2254,x2255))
% 3.08/3.15 [226]~E(x2261,x2262)+E(f90(x2263,x2264,x2261,x2265),f90(x2263,x2264,x2262,x2265))
% 3.08/3.15 [227]~E(x2271,x2272)+E(f90(x2273,x2274,x2275,x2271),f90(x2273,x2274,x2275,x2272))
% 3.08/3.15 [228]~E(x2281,x2282)+E(f53(x2281,x2283),f53(x2282,x2283))
% 3.08/3.15 [229]~E(x2291,x2292)+E(f53(x2293,x2291),f53(x2293,x2292))
% 3.08/3.15 [230]~E(x2301,x2302)+E(f72(x2301,x2303),f72(x2302,x2303))
% 3.08/3.15 [231]~E(x2311,x2312)+E(f72(x2313,x2311),f72(x2313,x2312))
% 3.08/3.15 [232]~E(x2321,x2322)+E(f69(x2321,x2323),f69(x2322,x2323))
% 3.08/3.15 [233]~E(x2331,x2332)+E(f69(x2333,x2331),f69(x2333,x2332))
% 3.08/3.15 [234]~E(x2341,x2342)+E(f43(x2341,x2343,x2344,x2345),f43(x2342,x2343,x2344,x2345))
% 3.08/3.15 [235]~E(x2351,x2352)+E(f43(x2353,x2351,x2354,x2355),f43(x2353,x2352,x2354,x2355))
% 3.08/3.15 [236]~E(x2361,x2362)+E(f43(x2363,x2364,x2361,x2365),f43(x2363,x2364,x2362,x2365))
% 3.08/3.15 [237]~E(x2371,x2372)+E(f43(x2373,x2374,x2375,x2371),f43(x2373,x2374,x2375,x2372))
% 3.08/3.15 [238]~E(x2381,x2382)+E(f115(x2381,x2383),f115(x2382,x2383))
% 3.08/3.15 [239]~E(x2391,x2392)+E(f115(x2393,x2391),f115(x2393,x2392))
% 3.08/3.15 [240]~E(x2401,x2402)+E(f42(x2401,x2403,x2404),f42(x2402,x2403,x2404))
% 3.08/3.15 [241]~E(x2411,x2412)+E(f42(x2413,x2411,x2414),f42(x2413,x2412,x2414))
% 3.08/3.15 [242]~E(x2421,x2422)+E(f42(x2423,x2424,x2421),f42(x2423,x2424,x2422))
% 3.08/3.15 [243]~E(x2431,x2432)+E(f55(x2431,x2433),f55(x2432,x2433))
% 3.08/3.15 [244]~E(x2441,x2442)+E(f55(x2443,x2441),f55(x2443,x2442))
% 3.08/3.15 [245]~E(x2451,x2452)+E(f95(x2451,x2453),f95(x2452,x2453))
% 3.08/3.15 [246]~E(x2461,x2462)+E(f95(x2463,x2461),f95(x2463,x2462))
% 3.08/3.15 [247]~E(x2471,x2472)+E(f68(x2471),f68(x2472))
% 3.08/3.15 [248]~E(x2481,x2482)+E(f44(x2481,x2483,x2484),f44(x2482,x2483,x2484))
% 3.08/3.15 [249]~E(x2491,x2492)+E(f44(x2493,x2491,x2494),f44(x2493,x2492,x2494))
% 3.08/3.15 [250]~E(x2501,x2502)+E(f44(x2503,x2504,x2501),f44(x2503,x2504,x2502))
% 3.08/3.15 [251]~E(x2511,x2512)+E(f96(x2511),f96(x2512))
% 3.08/3.15 [252]~E(x2521,x2522)+E(f89(x2521,x2523),f89(x2522,x2523))
% 3.08/3.15 [253]~E(x2531,x2532)+E(f89(x2533,x2531),f89(x2533,x2532))
% 3.08/3.15 [254]~E(x2541,x2542)+E(f47(x2541,x2543),f47(x2542,x2543))
% 3.08/3.15 [255]~E(x2551,x2552)+E(f47(x2553,x2551),f47(x2553,x2552))
% 3.08/3.15 [256]~E(x2561,x2562)+E(f24(x2561,x2563),f24(x2562,x2563))
% 3.08/3.15 [257]~E(x2571,x2572)+E(f24(x2573,x2571),f24(x2573,x2572))
% 3.08/3.15 [258]~E(x2581,x2582)+E(f18(x2581,x2583),f18(x2582,x2583))
% 3.08/3.15 [259]~E(x2591,x2592)+E(f18(x2593,x2591),f18(x2593,x2592))
% 3.08/3.15 [260]~E(x2601,x2602)+E(f61(x2601,x2603,x2604),f61(x2602,x2603,x2604))
% 3.08/3.15 [261]~E(x2611,x2612)+E(f61(x2613,x2611,x2614),f61(x2613,x2612,x2614))
% 3.08/3.15 [262]~E(x2621,x2622)+E(f61(x2623,x2624,x2621),f61(x2623,x2624,x2622))
% 3.08/3.15 [263]~E(x2631,x2632)+E(f49(x2631,x2633),f49(x2632,x2633))
% 3.08/3.15 [264]~E(x2641,x2642)+E(f49(x2643,x2641),f49(x2643,x2642))
% 3.08/3.15 [265]~E(x2651,x2652)+E(f64(x2651,x2653,x2654,x2655),f64(x2652,x2653,x2654,x2655))
% 3.08/3.15 [266]~E(x2661,x2662)+E(f64(x2663,x2661,x2664,x2665),f64(x2663,x2662,x2664,x2665))
% 3.08/3.15 [267]~E(x2671,x2672)+E(f64(x2673,x2674,x2671,x2675),f64(x2673,x2674,x2672,x2675))
% 3.08/3.15 [268]~E(x2681,x2682)+E(f64(x2683,x2684,x2685,x2681),f64(x2683,x2684,x2685,x2682))
% 3.08/3.15 [269]~E(x2691,x2692)+E(f20(x2691,x2693),f20(x2692,x2693))
% 3.08/3.15 [270]~E(x2701,x2702)+E(f20(x2703,x2701),f20(x2703,x2702))
% 3.08/3.15 [271]~E(x2711,x2712)+E(f76(x2711,x2713,x2714),f76(x2712,x2713,x2714))
% 3.08/3.15 [272]~E(x2721,x2722)+E(f76(x2723,x2721,x2724),f76(x2723,x2722,x2724))
% 3.08/3.15 [273]~E(x2731,x2732)+E(f76(x2733,x2734,x2731),f76(x2733,x2734,x2732))
% 3.08/3.15 [274]~E(x2741,x2742)+E(f112(x2741),f112(x2742))
% 3.08/3.15 [275]~E(x2751,x2752)+E(f66(x2751,x2753,x2754),f66(x2752,x2753,x2754))
% 3.08/3.15 [276]~E(x2761,x2762)+E(f66(x2763,x2761,x2764),f66(x2763,x2762,x2764))
% 3.08/3.15 [277]~E(x2771,x2772)+E(f66(x2773,x2774,x2771),f66(x2773,x2774,x2772))
% 3.08/3.15 [278]~E(x2781,x2782)+E(f70(x2781,x2783),f70(x2782,x2783))
% 3.08/3.15 [279]~E(x2791,x2792)+E(f70(x2793,x2791),f70(x2793,x2792))
% 3.08/3.15 [280]~E(x2801,x2802)+E(f148(x2801,x2803,x2804),f148(x2802,x2803,x2804))
% 3.08/3.15 [281]~E(x2811,x2812)+E(f148(x2813,x2811,x2814),f148(x2813,x2812,x2814))
% 3.08/3.15 [282]~E(x2821,x2822)+E(f148(x2823,x2824,x2821),f148(x2823,x2824,x2822))
% 3.08/3.15 [283]~E(x2831,x2832)+E(f84(x2831,x2833),f84(x2832,x2833))
% 3.08/3.15 [284]~E(x2841,x2842)+E(f84(x2843,x2841),f84(x2843,x2842))
% 3.08/3.15 [285]~E(x2851,x2852)+E(f29(x2851),f29(x2852))
% 3.08/3.15 [286]~E(x2861,x2862)+E(f82(x2861,x2863),f82(x2862,x2863))
% 3.08/3.15 [287]~E(x2871,x2872)+E(f82(x2873,x2871),f82(x2873,x2872))
% 3.08/3.15 [288]~E(x2881,x2882)+E(f30(x2881),f30(x2882))
% 3.08/3.15 [289]~P1(x2891)+P1(x2892)+~E(x2891,x2892)
% 3.08/3.15 [290]P13(x2902,x2903)+~E(x2901,x2902)+~P13(x2901,x2903)
% 3.08/3.15 [291]P13(x2913,x2912)+~E(x2911,x2912)+~P13(x2913,x2911)
% 3.08/3.15 [292]~P19(x2921)+P19(x2922)+~E(x2921,x2922)
% 3.08/3.15 [293]~P8(x2931)+P8(x2932)+~E(x2931,x2932)
% 3.08/3.15 [294]~P6(x2941)+P6(x2942)+~E(x2941,x2942)
% 3.08/3.15 [295]~P12(x2951)+P12(x2952)+~E(x2951,x2952)
% 3.08/3.15 [296]P15(x2962,x2963)+~E(x2961,x2962)+~P15(x2961,x2963)
% 3.08/3.15 [297]P15(x2973,x2972)+~E(x2971,x2972)+~P15(x2973,x2971)
% 3.08/3.15 [298]P2(x2982,x2983)+~E(x2981,x2982)+~P2(x2981,x2983)
% 3.08/3.15 [299]P2(x2993,x2992)+~E(x2991,x2992)+~P2(x2993,x2991)
% 3.08/3.15 [300]P14(x3002,x3003)+~E(x3001,x3002)+~P14(x3001,x3003)
% 3.08/3.15 [301]P14(x3013,x3012)+~E(x3011,x3012)+~P14(x3013,x3011)
% 3.08/3.15 [302]P7(x3022,x3023)+~E(x3021,x3022)+~P7(x3021,x3023)
% 3.08/3.15 [303]P7(x3033,x3032)+~E(x3031,x3032)+~P7(x3033,x3031)
% 3.08/3.15 [304]P24(x3042,x3043)+~E(x3041,x3042)+~P24(x3041,x3043)
% 3.08/3.15 [305]P24(x3053,x3052)+~E(x3051,x3052)+~P24(x3053,x3051)
% 3.08/3.15 [306]P16(x3062,x3063)+~E(x3061,x3062)+~P16(x3061,x3063)
% 3.08/3.15 [307]P16(x3073,x3072)+~E(x3071,x3072)+~P16(x3073,x3071)
% 3.08/3.15 [308]~P26(x3081)+P26(x3082)+~E(x3081,x3082)
% 3.08/3.15 [309]~P11(x3091)+P11(x3092)+~E(x3091,x3092)
% 3.08/3.15 [310]P21(x3102,x3103)+~E(x3101,x3102)+~P21(x3101,x3103)
% 3.08/3.15 [311]P21(x3113,x3112)+~E(x3111,x3112)+~P21(x3113,x3111)
% 3.08/3.15 [312]P18(x3122,x3123)+~E(x3121,x3122)+~P18(x3121,x3123)
% 3.08/3.15 [313]P18(x3133,x3132)+~E(x3131,x3132)+~P18(x3133,x3131)
% 3.08/3.15 [314]P5(x3142,x3143)+~E(x3141,x3142)+~P5(x3141,x3143)
% 3.08/3.15 [315]P5(x3153,x3152)+~E(x3151,x3152)+~P5(x3153,x3151)
% 3.08/3.15 [316]~P3(x3161)+P3(x3162)+~E(x3161,x3162)
% 3.08/3.15 [317]~P9(x3171)+P9(x3172)+~E(x3171,x3172)
% 3.08/3.15 [318]~P25(x3181)+P25(x3182)+~E(x3181,x3182)
% 3.08/3.15 [319]~P27(x3191)+P27(x3192)+~E(x3191,x3192)
% 3.08/3.15 [320]~P22(x3201)+P22(x3202)+~E(x3201,x3202)
% 3.08/3.15 [321]~P10(x3211)+P10(x3212)+~E(x3211,x3212)
% 3.08/3.15 [322]P17(x3222,x3223)+~E(x3221,x3222)+~P17(x3221,x3223)
% 3.08/3.15 [323]P17(x3233,x3232)+~E(x3231,x3232)+~P17(x3233,x3231)
% 3.08/3.15 [324]P28(x3242,x3243)+~E(x3241,x3242)+~P28(x3241,x3243)
% 3.08/3.15 [325]P28(x3253,x3252)+~E(x3251,x3252)+~P28(x3253,x3251)
% 3.08/3.15 [326]~P4(x3261)+P4(x3262)+~E(x3261,x3262)
% 3.08/3.15 [327]P20(x3272,x3273)+~E(x3271,x3272)+~P20(x3271,x3273)
% 3.08/3.15 [328]P20(x3283,x3282)+~E(x3281,x3282)+~P20(x3283,x3281)
% 3.08/3.15 [329]~P23(x3291)+P23(x3292)+~E(x3291,x3292)
% 3.08/3.15
% 3.08/3.15 %-------------------------------------------
% 3.08/3.16 cnf(956,plain,
% 3.08/3.16 (~P13(f10(x9561),x9561)),
% 3.08/3.16 inference(scs_inference,[],[330,391,2,562])).
% 3.08/3.16 cnf(958,plain,
% 3.08/3.16 (~P13(x9581,a1)),
% 3.08/3.16 inference(scs_inference,[],[335,330,391,2,562,484])).
% 3.08/3.16 cnf(962,plain,
% 3.08/3.16 (~P13(x9621,f5(a1))),
% 3.08/3.16 inference(scs_inference,[],[335,330,391,2,562,484,477,475])).
% 3.08/3.16 cnf(967,plain,
% 3.08/3.16 (P24(x9671,x9671)),
% 3.08/3.16 inference(rename_variables,[],[389])).
% 3.08/3.16 cnf(970,plain,
% 3.08/3.16 (P24(x9701,x9701)),
% 3.08/3.16 inference(rename_variables,[],[389])).
% 3.08/3.16 cnf(973,plain,
% 3.08/3.16 (P2(f33(x9731),x9731)),
% 3.08/3.16 inference(rename_variables,[],[394])).
% 3.08/3.16 cnf(975,plain,
% 3.08/3.16 (P19(f5(a1))),
% 3.08/3.16 inference(scs_inference,[],[389,967,335,330,391,394,411,2,562,484,477,475,462,663,662,574,474])).
% 3.08/3.16 cnf(986,plain,
% 3.08/3.16 (P2(x9861,f132(x9861))),
% 3.08/3.16 inference(rename_variables,[],[393])).
% 3.08/3.16 cnf(989,plain,
% 3.08/3.16 (P2(x9891,f132(x9891))),
% 3.08/3.16 inference(rename_variables,[],[393])).
% 3.08/3.16 cnf(992,plain,
% 3.08/3.16 (P2(x9921,f132(x9921))),
% 3.08/3.16 inference(rename_variables,[],[393])).
% 3.08/3.16 cnf(995,plain,
% 3.08/3.16 (P2(x9951,f132(x9951))),
% 3.08/3.16 inference(rename_variables,[],[393])).
% 3.08/3.16 cnf(1000,plain,
% 3.08/3.16 (P11(f5(a1))),
% 3.08/3.16 inference(scs_inference,[],[389,967,335,346,350,354,374,330,391,393,986,989,992,394,387,411,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309])).
% 3.08/3.16 cnf(1002,plain,
% 3.08/3.16 (P24(x10021,f145(x10021,x10022))),
% 3.08/3.16 inference(rename_variables,[],[399])).
% 3.08/3.16 cnf(1003,plain,
% 3.08/3.16 (~E(a1,f149(x10031,x10031))),
% 3.08/3.16 inference(scs_inference,[],[389,967,970,335,346,350,354,374,330,391,393,986,989,992,394,399,387,411,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304])).
% 3.08/3.16 cnf(1004,plain,
% 3.08/3.16 (P24(x10041,x10041)),
% 3.08/3.16 inference(rename_variables,[],[389])).
% 3.08/3.16 cnf(1008,plain,
% 3.08/3.16 (P2(f33(x10081),x10081)),
% 3.08/3.16 inference(rename_variables,[],[394])).
% 3.08/3.16 cnf(1010,plain,
% 3.08/3.16 (P2(x10101,f132(x10101))),
% 3.08/3.16 inference(rename_variables,[],[393])).
% 3.08/3.16 cnf(1014,plain,
% 3.08/3.16 (P13(x10141,f10(x10141))),
% 3.08/3.16 inference(rename_variables,[],[391])).
% 3.08/3.16 cnf(1016,plain,
% 3.08/3.16 (P13(x10161,f10(x10161))),
% 3.08/3.16 inference(rename_variables,[],[391])).
% 3.08/3.16 cnf(1018,plain,
% 3.08/3.16 (E(f145(x10181,x10181),x10181)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1021,plain,
% 3.08/3.16 (P13(x10211,f10(x10211))),
% 3.08/3.16 inference(rename_variables,[],[391])).
% 3.08/3.16 cnf(1023,plain,
% 3.08/3.16 (P7(f143(a1,x10231),x10232)),
% 3.08/3.16 inference(scs_inference,[],[389,967,970,335,340,346,350,354,370,374,407,330,390,391,1014,1016,392,393,986,989,992,995,394,973,399,400,387,411,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604])).
% 3.08/3.16 cnf(1026,plain,
% 3.08/3.16 (E(f33(f132(a1)),a1)),
% 3.08/3.16 inference(scs_inference,[],[389,967,970,385,335,340,346,350,354,370,374,407,330,390,391,1014,1016,392,393,986,989,992,995,394,973,399,400,387,411,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578])).
% 3.08/3.16 cnf(1027,plain,
% 3.08/3.16 (P24(a1,x10271)),
% 3.08/3.16 inference(rename_variables,[],[385])).
% 3.08/3.16 cnf(1029,plain,
% 3.08/3.16 (~P2(f10(f14(a123)),a123)),
% 3.08/3.16 inference(scs_inference,[],[389,967,970,385,335,340,346,350,354,370,374,407,330,390,391,1014,1016,392,393,986,989,992,995,394,973,399,400,387,411,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524])).
% 3.08/3.16 cnf(1032,plain,
% 3.08/3.16 (P24(a1,x10321)),
% 3.08/3.16 inference(rename_variables,[],[385])).
% 3.08/3.16 cnf(1039,plain,
% 3.08/3.16 (E(f145(x10391,x10391),x10391)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1042,plain,
% 3.08/3.16 (E(f145(x10421,x10421),x10421)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1045,plain,
% 3.08/3.16 (E(f145(x10451,x10451),x10451)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1048,plain,
% 3.08/3.16 (E(f145(x10481,a1),x10481)),
% 3.08/3.16 inference(rename_variables,[],[386])).
% 3.08/3.16 cnf(1051,plain,
% 3.08/3.16 (P2(f33(x10511),x10511)),
% 3.08/3.16 inference(rename_variables,[],[394])).
% 3.08/3.16 cnf(1054,plain,
% 3.08/3.16 (P2(f33(x10541),x10541)),
% 3.08/3.16 inference(rename_variables,[],[394])).
% 3.08/3.16 cnf(1057,plain,
% 3.08/3.16 (E(f145(x10571,x10571),x10571)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1059,plain,
% 3.08/3.16 (~P13(x10591,f33(f132(a1)))),
% 3.08/3.16 inference(scs_inference,[],[389,967,970,385,1027,335,340,346,350,354,370,374,407,330,390,1018,1039,1042,1045,391,1014,1016,1021,392,393,986,989,992,995,394,973,1008,1051,1054,399,400,386,387,411,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623])).
% 3.08/3.16 cnf(1062,plain,
% 3.08/3.16 (E(f145(x10621,x10621),x10621)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1065,plain,
% 3.08/3.16 (E(f145(x10651,x10651),x10651)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1068,plain,
% 3.08/3.16 (E(f145(x10681,x10681),x10681)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1071,plain,
% 3.08/3.16 (E(f145(x10711,x10711),x10711)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1074,plain,
% 3.08/3.16 (E(f145(x10741,x10741),x10741)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1077,plain,
% 3.08/3.16 (E(f145(x10771,x10771),x10771)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1080,plain,
% 3.08/3.16 (E(f145(x10801,x10801),x10801)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1085,plain,
% 3.08/3.16 (E(f145(x10851,a1),x10851)),
% 3.08/3.16 inference(rename_variables,[],[386])).
% 3.08/3.16 cnf(1091,plain,
% 3.08/3.16 (P17(a9,f33(f132(a1)))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,335,340,346,350,354,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,391,1014,1016,1021,392,393,986,989,992,995,394,973,1008,1051,1054,399,400,386,1048,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621])).
% 3.08/3.16 cnf(1093,plain,
% 3.08/3.16 (~P13(x10931,f147(f10(x10931),f10(x10931)))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,335,340,346,350,354,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,391,1014,1016,1021,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,400,386,1048,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741])).
% 3.08/3.16 cnf(1102,plain,
% 3.08/3.16 (E(f145(x11021,a1),x11021)),
% 3.08/3.16 inference(rename_variables,[],[386])).
% 3.08/3.16 cnf(1105,plain,
% 3.08/3.16 (E(f145(x11051,a1),x11051)),
% 3.08/3.16 inference(rename_variables,[],[386])).
% 3.08/3.16 cnf(1106,plain,
% 3.08/3.16 (P13(x11061,f10(x11061))),
% 3.08/3.16 inference(rename_variables,[],[391])).
% 3.08/3.16 cnf(1112,plain,
% 3.08/3.16 (E(f145(x11121,a1),x11121)),
% 3.08/3.16 inference(rename_variables,[],[386])).
% 3.08/3.16 cnf(1115,plain,
% 3.08/3.16 (E(f145(x11151,a1),x11151)),
% 3.08/3.16 inference(rename_variables,[],[386])).
% 3.08/3.16 cnf(1118,plain,
% 3.08/3.16 (E(f145(x11181,x11181),x11181)),
% 3.08/3.16 inference(rename_variables,[],[390])).
% 3.08/3.16 cnf(1128,plain,
% 3.08/3.16 (P7(x11281,f143(a1,x11282))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509])).
% 3.08/3.16 cnf(1148,plain,
% 3.08/3.16 (P24(f135(f144(x11481,a9)),x11481)),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669])).
% 3.08/3.16 cnf(1376,plain,
% 3.08/3.16 (E(f141(f5(a1),x13761),f141(a1,x13761))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104])).
% 3.08/3.16 cnf(1473,plain,
% 3.08/3.16 (E(f128(f5(a1)),f128(a1))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 3.08/3.16 cnf(1479,plain,
% 3.08/3.16 (~E(f149(f149(x14791,f144(a11,f136(a9,a11))),f149(x14791,x14791)),f149(f149(x14792,f137(a9,a11)),f149(x14792,x14792)))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806])).
% 3.08/3.16 cnf(1487,plain,
% 3.08/3.16 (E(f144(x14871,f136(a9,x14872)),f136(f144(x14871,a9),x14872))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686])).
% 3.08/3.16 cnf(1489,plain,
% 3.08/3.16 (~P7(f149(x14891,x14891),f10(x14891))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686,684])).
% 3.08/3.16 cnf(1501,plain,
% 3.08/3.16 (E(f136(f144(x15011,a9),x15011),f137(a9,x15011))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686,684,679,678,652,627,625,612])).
% 3.08/3.16 cnf(1539,plain,
% 3.08/3.16 (P10(f145(a1,f149(a1,a1)))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,1002,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686,684,679,678,652,627,625,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,785,731,705,704,695])).
% 3.08/3.16 cnf(1543,plain,
% 3.08/3.16 (P11(f145(a1,f149(a1,a1)))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,1002,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686,684,679,678,652,627,625,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,785,731,705,704,695,694,693])).
% 3.08/3.16 cnf(1545,plain,
% 3.08/3.16 (~E(f143(f10(x15451),f149(x15451,x15451)),f10(x15451))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,1002,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686,684,679,678,652,627,625,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,785,731,705,704,695,694,693,687])).
% 3.08/3.16 cnf(1547,plain,
% 3.08/3.16 (~E(f143(f149(x15471,x15471),f143(f149(x15471,x15471),f10(x15471))),a1)),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,1002,400,386,1048,1085,1102,1105,1112,1115,387,411,380,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686,684,679,678,652,627,625,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,785,731,705,704,695,694,693,687,661])).
% 3.08/3.16 cnf(1577,plain,
% 3.08/3.16 (~P24(f149(f144(a11,f136(a9,a11)),f144(a11,f136(a9,a11))),f149(f137(a9,a11),f137(a9,a11)))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,1002,400,386,1048,1085,1102,1105,1112,1115,387,411,380,395,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686,684,679,678,652,627,625,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,785,731,705,704,695,694,693,687,661,634,632,631,624,608,598,596,573,513,486,852,801,775,724,718])).
% 3.08/3.16 cnf(1581,plain,
% 3.08/3.16 (P2(f147(a1,f33(f132(a1))),f132(a1))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,1002,400,386,1048,1085,1102,1105,1112,1115,387,411,380,395,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686,684,679,678,652,627,625,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,785,731,705,704,695,694,693,687,661,634,632,631,624,608,598,596,573,513,486,852,801,775,724,718,699,668])).
% 3.08/3.16 cnf(1596,plain,
% 3.08/3.16 (~P13(x15961,f143(a1,x15962))),
% 3.08/3.16 inference(scs_inference,[],[369,389,967,970,1004,412,385,1027,1032,335,336,337,338,340,342,346,347,350,354,360,363,370,374,407,330,415,390,1018,1039,1042,1045,1057,1062,1065,1068,1071,1074,1077,1080,1118,391,1014,1016,1021,1106,392,393,986,989,992,995,1010,394,973,1008,1051,1054,399,1002,400,386,1048,1085,1102,1105,1112,1115,387,411,380,395,383,398,2,562,484,477,475,462,663,662,574,474,463,595,516,506,709,708,648,647,329,321,317,309,305,304,303,302,299,298,295,293,291,290,289,3,640,604,578,524,521,492,434,717,716,715,712,646,645,644,623,611,610,609,566,565,527,526,429,580,433,621,741,583,534,476,659,658,581,744,739,796,672,605,564,509,508,447,428,425,422,421,420,418,530,669,586,585,576,575,533,532,512,511,510,459,448,445,444,443,442,441,440,439,438,437,436,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,850,806,692,691,690,686,684,679,678,652,627,625,612,594,593,592,590,589,535,522,515,514,504,485,461,460,572,785,731,705,704,695,694,693,687,661,634,632,631,624,608,598,596,573,513,486,852,801,775,724,718,699,668,667,653,752,606,807,328,292,641])).
% 3.08/3.16 cnf(1737,plain,
% 3.08/3.16 (P21(x17371,x17371)+~P11(x17371)),
% 3.08/3.16 inference(scs_inference,[],[349,481])).
% 3.08/3.16 cnf(1741,plain,
% 3.08/3.16 (~P13(x17411,a1)),
% 3.08/3.16 inference(rename_variables,[],[958])).
% 3.08/3.16 cnf(1744,plain,
% 3.08/3.16 (~P13(f10(x17441),x17441)),
% 3.08/3.16 inference(rename_variables,[],[956])).
% 3.08/3.16 cnf(1747,plain,
% 3.08/3.16 (~P13(f10(x17471),x17471)),
% 3.08/3.16 inference(rename_variables,[],[956])).
% 3.08/3.16 cnf(1750,plain,
% 3.08/3.16 (~P13(f10(x17501),x17501)),
% 3.08/3.16 inference(rename_variables,[],[956])).
% 3.08/3.16 cnf(1755,plain,
% 3.08/3.16 (P24(f143(x17551,x17552),x17551)),
% 3.08/3.16 inference(rename_variables,[],[400])).
% 3.08/3.16 cnf(1760,plain,
% 3.08/3.16 (~P13(x17601,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1763,plain,
% 3.08/3.16 (~P13(x17631,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1766,plain,
% 3.08/3.16 (~P13(x17661,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1769,plain,
% 3.08/3.16 (~P13(x17691,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1772,plain,
% 3.08/3.16 (~P13(x17721,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1775,plain,
% 3.08/3.16 (~P13(x17751,a1)),
% 3.08/3.16 inference(rename_variables,[],[958])).
% 3.08/3.16 cnf(1778,plain,
% 3.08/3.16 (~P13(x17781,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1781,plain,
% 3.08/3.16 (~P13(x17811,a1)),
% 3.08/3.16 inference(rename_variables,[],[958])).
% 3.08/3.16 cnf(1784,plain,
% 3.08/3.16 (~P13(x17841,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1787,plain,
% 3.08/3.16 (~P13(x17871,a1)),
% 3.08/3.16 inference(rename_variables,[],[958])).
% 3.08/3.16 cnf(1790,plain,
% 3.08/3.16 (~P13(x17901,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1793,plain,
% 3.08/3.16 (~P13(x17931,a1)),
% 3.08/3.16 inference(rename_variables,[],[958])).
% 3.08/3.16 cnf(1798,plain,
% 3.08/3.16 (~P13(x17981,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1799,plain,
% 3.08/3.16 (~P13(x17991,f143(a1,x17992))),
% 3.08/3.16 inference(rename_variables,[],[1596])).
% 3.08/3.16 cnf(1802,plain,
% 3.08/3.16 (~P13(x18021,a1)),
% 3.08/3.16 inference(rename_variables,[],[958])).
% 3.08/3.16 cnf(1807,plain,
% 3.08/3.16 (~P13(x18071,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1808,plain,
% 3.08/3.16 (~P13(x18081,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1811,plain,
% 3.08/3.16 (~P13(x18111,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1812,plain,
% 3.08/3.16 (~P13(x18121,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1815,plain,
% 3.08/3.16 (~P13(x18151,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1820,plain,
% 3.08/3.16 (~P13(x18201,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1823,plain,
% 3.08/3.16 (~P13(x18231,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1824,plain,
% 3.08/3.16 (~P13(x18241,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1827,plain,
% 3.08/3.16 (~P13(x18271,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1830,plain,
% 3.08/3.16 (~P13(x18301,f147(f10(x18301),f10(x18301)))),
% 3.08/3.16 inference(rename_variables,[],[1093])).
% 3.08/3.16 cnf(1831,plain,
% 3.08/3.16 (P13(x18311,f145(x18311,f149(x18311,x18311)))),
% 3.08/3.16 inference(rename_variables,[],[405])).
% 3.08/3.16 cnf(1836,plain,
% 3.08/3.16 (P19(f128(x18361))),
% 3.08/3.16 inference(rename_variables,[],[380])).
% 3.08/3.16 cnf(1843,plain,
% 3.08/3.16 (P24(x18431,x18431)),
% 3.08/3.16 inference(rename_variables,[],[389])).
% 3.08/3.16 cnf(1844,plain,
% 3.08/3.16 (P2(f33(x18441),x18441)),
% 3.08/3.16 inference(rename_variables,[],[394])).
% 3.08/3.16 cnf(1849,plain,
% 3.08/3.16 (~P13(x18491,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1852,plain,
% 3.08/3.16 (~P13(x18521,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1855,plain,
% 3.08/3.16 (~P13(x18551,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1858,plain,
% 3.08/3.16 (~P13(x18581,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1861,plain,
% 3.08/3.16 (P24(x18611,x18611)),
% 3.08/3.16 inference(rename_variables,[],[389])).
% 3.08/3.16 cnf(1864,plain,
% 3.08/3.16 (~P13(x18641,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1867,plain,
% 3.08/3.16 (~P13(x18671,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1870,plain,
% 3.08/3.16 (~P13(x18701,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1871,plain,
% 3.08/3.16 (~P13(x18711,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1874,plain,
% 3.08/3.16 (~P13(x18741,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1880,plain,
% 3.08/3.16 (~P13(x18801,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1883,plain,
% 3.08/3.16 (~P13(x18831,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1886,plain,
% 3.08/3.16 (~P13(x18861,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1889,plain,
% 3.08/3.16 (~P13(x18891,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1892,plain,
% 3.08/3.16 (~P13(x18921,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1893,plain,
% 3.08/3.16 (~P13(x18931,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1896,plain,
% 3.08/3.16 (~P13(x18961,f5(a1))),
% 3.08/3.16 inference(rename_variables,[],[962])).
% 3.08/3.16 cnf(1901,plain,
% 3.08/3.16 (~P13(x19011,f147(f10(x19011),f10(x19011)))),
% 3.08/3.16 inference(rename_variables,[],[1093])).
% 3.08/3.16 cnf(1904,plain,
% 3.08/3.16 (~P13(f10(x19041),x19041)),
% 3.08/3.16 inference(rename_variables,[],[956])).
% 3.08/3.16 cnf(1910,plain,
% 3.08/3.16 (~P13(x19101,f147(f10(x19101),f10(x19101)))),
% 3.08/3.16 inference(rename_variables,[],[1093])).
% 3.08/3.16 cnf(1913,plain,
% 3.08/3.16 (~P13(x19131,f147(f10(x19131),f10(x19131)))),
% 3.08/3.16 inference(rename_variables,[],[1093])).
% 3.08/3.16 cnf(1916,plain,
% 3.08/3.16 (P13(x19161,f145(x19161,f149(x19161,x19161)))),
% 3.08/3.16 inference(rename_variables,[],[405])).
% 3.08/3.16 cnf(1936,plain,
% 3.08/3.16 (~P13(x19361,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(1947,plain,
% 3.08/3.16 (P13(x19471,f10(x19471))),
% 3.08/3.16 inference(rename_variables,[],[391])).
% 3.08/3.16 cnf(1948,plain,
% 3.08/3.16 (P13(x19481,f145(x19481,f149(x19481,x19481)))),
% 3.08/3.16 inference(rename_variables,[],[405])).
% 3.08/3.16 cnf(1949,plain,
% 3.08/3.16 (~P13(x19491,f147(f10(x19491),f10(x19491)))),
% 3.08/3.16 inference(rename_variables,[],[1093])).
% 3.08/3.16 cnf(1963,plain,
% 3.08/3.16 (E(f143(x19631,f143(x19631,x19631)),x19631)),
% 3.08/3.16 inference(rename_variables,[],[401])).
% 3.08/3.16 cnf(1976,plain,
% 3.08/3.16 (~P13(x19761,f147(f10(x19761),f10(x19761)))),
% 3.08/3.16 inference(rename_variables,[],[1093])).
% 3.08/3.16 cnf(1993,plain,
% 3.08/3.16 (P13(x19931,f145(x19931,f149(x19931,x19931)))),
% 3.08/3.16 inference(rename_variables,[],[405])).
% 3.08/3.16 cnf(2016,plain,
% 3.08/3.16 (~P13(x20161,f33(f132(a1)))),
% 3.08/3.16 inference(rename_variables,[],[1059])).
% 3.08/3.16 cnf(2028,plain,
% 3.08/3.16 ($false),
% 3.08/3.16 inference(scs_inference,[],[369,339,341,343,349,351,371,408,384,397,401,1963,381,361,364,389,1843,1861,385,393,394,1844,399,400,1755,378,380,1836,405,1831,1916,1948,1993,391,1947,392,411,346,415,340,360,1545,1093,1830,1901,1910,1913,1949,1976,1489,956,1744,1747,1750,1904,1577,1479,1148,1487,1543,1023,1059,1760,1763,1766,1769,1772,1798,1808,1811,1815,1820,1824,1849,1852,1870,1874,1880,1883,1893,1936,2016,1823,1871,1807,1812,1128,1596,1799,1501,1376,962,1778,1784,1790,1827,1855,1858,1864,1867,1886,1889,1892,1896,1539,1473,1581,1547,958,1741,1775,1781,1787,1793,1802,975,1000,1003,1026,1029,1091,1737,491,826,767,727,706,671,861,777,896,895,799,798,824,823,822,821,673,803,914,886,683,650,935,835,834,833,854,853,582,642,685,816,789,698,770,745,898,897,908,942,688,934,952,840,839,870,899,786,901,846,794,662,602,524,521,716,715,609,565,759,681,657,551,549,763,748,621,719,703,637,800,744,490,478,501,672,605,564,418,574,516,506,645,623,419,560,559,553,707,534,581,515,604,641,562,484,475,462,663,463,11,594,593,323,321,299,291,290,3]),
% 3.08/3.16 ['proof']).
% 3.08/3.16 % SZS output end Proof
% 3.08/3.16 % Total time :2.190000s
%------------------------------------------------------------------------------