TSTP Solution File: SEU196+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 16:18:18 EDT 2023
% Result : Theorem 2.09s 2.16s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n028.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 15:56:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 2.00/2.14 %-------------------------------------------
% 2.00/2.14 % File :CSE---1.6
% 2.00/2.14 % Problem :theBenchmark
% 2.00/2.14 % Transform :cnf
% 2.00/2.14 % Format :tptp:raw
% 2.00/2.14 % Command :java -jar mcs_scs.jar %d %s
% 2.00/2.14
% 2.00/2.14 % Result :Theorem 1.450000s
% 2.00/2.14 % Output :CNFRefutation 1.450000s
% 2.00/2.14 %-------------------------------------------
% 2.00/2.14 %------------------------------------------------------------------------------
% 2.00/2.14 % File : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% 2.00/2.14 % Domain : Set theory
% 2.00/2.14 % Problem : MPTP chainy problem t99_relat_1
% 2.00/2.14 % Version : [Urb07] axioms : Especial.
% 2.00/2.14 % English :
% 2.00/2.14
% 2.00/2.15 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 2.00/2.15 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 2.00/2.15 % Source : [Urb07]
% 2.00/2.15 % Names : chainy-t99_relat_1 [Urb07]
% 2.00/2.15
% 2.00/2.15 % Status : Theorem
% 2.00/2.15 % Rating : 0.19 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.30 v6.0.0, 0.26 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.41 v5.2.0, 0.25 v5.1.0, 0.19 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.1, 0.35 v4.0.0, 0.38 v3.7.0, 0.40 v3.5.0, 0.42 v3.3.0
% 2.00/2.15 % Syntax : Number of formulae : 187 ( 49 unt; 0 def)
% 2.00/2.15 % Number of atoms : 472 ( 108 equ)
% 2.00/2.15 % Maximal formula atoms : 11 ( 2 avg)
% 2.00/2.15 % Number of connectives : 350 ( 65 ~; 7 |; 84 &)
% 2.00/2.15 % ( 61 <=>; 133 =>; 0 <=; 0 <~>)
% 2.00/2.15 % Maximal formula depth : 14 ( 5 avg)
% 2.00/2.15 % Maximal term depth : 3 ( 1 avg)
% 2.00/2.15 % Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% 2.00/2.15 % Number of functors : 24 ( 24 usr; 1 con; 0-3 aty)
% 2.00/2.15 % Number of variables : 397 ( 380 !; 17 ?)
% 2.00/2.15 % SPC : FOF_THM_RFO_SEQ
% 2.00/2.15
% 2.00/2.15 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 2.00/2.15 % library, www.mizar.org
% 2.00/2.15 %------------------------------------------------------------------------------
% 2.00/2.15 fof(antisymmetry_r2_hidden,axiom,
% 2.00/2.15 ! [A,B] :
% 2.00/2.15 ( in(A,B)
% 2.00/2.15 => ~ in(B,A) ) ).
% 2.00/2.15
% 2.00/2.15 fof(antisymmetry_r2_xboole_0,axiom,
% 2.00/2.15 ! [A,B] :
% 2.00/2.15 ( proper_subset(A,B)
% 2.00/2.15 => ~ proper_subset(B,A) ) ).
% 2.00/2.15
% 2.00/2.15 fof(cc1_relat_1,axiom,
% 2.00/2.15 ! [A] :
% 2.00/2.15 ( empty(A)
% 2.00/2.15 => relation(A) ) ).
% 2.00/2.15
% 2.00/2.15 fof(commutativity_k2_tarski,axiom,
% 2.00/2.15 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 2.00/2.15
% 2.00/2.15 fof(commutativity_k2_xboole_0,axiom,
% 2.00/2.15 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 2.00/2.15
% 2.00/2.15 fof(commutativity_k3_xboole_0,axiom,
% 2.00/2.15 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 2.00/2.15
% 2.00/2.15 fof(d10_relat_1,axiom,
% 2.00/2.15 ! [A,B] :
% 2.00/2.15 ( relation(B)
% 2.00/2.15 => ( B = identity_relation(A)
% 2.00/2.15 <=> ! [C,D] :
% 2.00/2.15 ( in(ordered_pair(C,D),B)
% 2.00/2.15 <=> ( in(C,A)
% 2.00/2.15 & C = D ) ) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d10_xboole_0,axiom,
% 2.00/2.15 ! [A,B] :
% 2.00/2.15 ( A = B
% 2.00/2.15 <=> ( subset(A,B)
% 2.00/2.15 & subset(B,A) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d11_relat_1,axiom,
% 2.00/2.15 ! [A] :
% 2.00/2.15 ( relation(A)
% 2.00/2.15 => ! [B,C] :
% 2.00/2.15 ( relation(C)
% 2.00/2.15 => ( C = relation_dom_restriction(A,B)
% 2.00/2.15 <=> ! [D,E] :
% 2.00/2.15 ( in(ordered_pair(D,E),C)
% 2.00/2.15 <=> ( in(D,B)
% 2.00/2.15 & in(ordered_pair(D,E),A) ) ) ) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d1_relat_1,axiom,
% 2.00/2.15 ! [A] :
% 2.00/2.15 ( relation(A)
% 2.00/2.15 <=> ! [B] :
% 2.00/2.15 ~ ( in(B,A)
% 2.00/2.15 & ! [C,D] : B != ordered_pair(C,D) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d1_setfam_1,axiom,
% 2.00/2.15 ! [A,B] :
% 2.00/2.15 ( ( A != empty_set
% 2.00/2.15 => ( B = set_meet(A)
% 2.00/2.15 <=> ! [C] :
% 2.00/2.15 ( in(C,B)
% 2.00/2.15 <=> ! [D] :
% 2.00/2.15 ( in(D,A)
% 2.00/2.15 => in(C,D) ) ) ) )
% 2.00/2.15 & ( A = empty_set
% 2.00/2.15 => ( B = set_meet(A)
% 2.00/2.15 <=> B = empty_set ) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d1_tarski,axiom,
% 2.00/2.15 ! [A,B] :
% 2.00/2.15 ( B = singleton(A)
% 2.00/2.15 <=> ! [C] :
% 2.00/2.15 ( in(C,B)
% 2.00/2.15 <=> C = A ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d1_xboole_0,axiom,
% 2.00/2.15 ! [A] :
% 2.00/2.15 ( A = empty_set
% 2.00/2.15 <=> ! [B] : ~ in(B,A) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d1_zfmisc_1,axiom,
% 2.00/2.15 ! [A,B] :
% 2.00/2.15 ( B = powerset(A)
% 2.00/2.15 <=> ! [C] :
% 2.00/2.15 ( in(C,B)
% 2.00/2.15 <=> subset(C,A) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d2_relat_1,axiom,
% 2.00/2.15 ! [A] :
% 2.00/2.15 ( relation(A)
% 2.00/2.15 => ! [B] :
% 2.00/2.15 ( relation(B)
% 2.00/2.15 => ( A = B
% 2.00/2.15 <=> ! [C,D] :
% 2.00/2.15 ( in(ordered_pair(C,D),A)
% 2.00/2.15 <=> in(ordered_pair(C,D),B) ) ) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d2_subset_1,axiom,
% 2.00/2.15 ! [A,B] :
% 2.00/2.15 ( ( ~ empty(A)
% 2.00/2.15 => ( element(B,A)
% 2.00/2.15 <=> in(B,A) ) )
% 2.00/2.15 & ( empty(A)
% 2.00/2.15 => ( element(B,A)
% 2.00/2.15 <=> empty(B) ) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d2_tarski,axiom,
% 2.00/2.15 ! [A,B,C] :
% 2.00/2.15 ( C = unordered_pair(A,B)
% 2.00/2.15 <=> ! [D] :
% 2.00/2.15 ( in(D,C)
% 2.00/2.15 <=> ( D = A
% 2.00/2.15 | D = B ) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d2_xboole_0,axiom,
% 2.00/2.15 ! [A,B,C] :
% 2.00/2.15 ( C = set_union2(A,B)
% 2.00/2.15 <=> ! [D] :
% 2.00/2.15 ( in(D,C)
% 2.00/2.15 <=> ( in(D,A)
% 2.00/2.15 | in(D,B) ) ) ) ).
% 2.00/2.15
% 2.00/2.15 fof(d2_zfmisc_1,axiom,
% 2.00/2.15 ! [A,B,C] :
% 2.00/2.15 ( C = cartesian_product2(A,B)
% 2.00/2.15 <=> ! [D] :
% 2.09/2.15 ( in(D,C)
% 2.09/2.15 <=> ? [E,F] :
% 2.09/2.15 ( in(E,A)
% 2.09/2.15 & in(F,B)
% 2.09/2.15 & D = ordered_pair(E,F) ) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d3_relat_1,axiom,
% 2.09/2.15 ! [A] :
% 2.09/2.15 ( relation(A)
% 2.09/2.15 => ! [B] :
% 2.09/2.15 ( relation(B)
% 2.09/2.15 => ( subset(A,B)
% 2.09/2.15 <=> ! [C,D] :
% 2.09/2.15 ( in(ordered_pair(C,D),A)
% 2.09/2.15 => in(ordered_pair(C,D),B) ) ) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d3_tarski,axiom,
% 2.09/2.15 ! [A,B] :
% 2.09/2.15 ( subset(A,B)
% 2.09/2.15 <=> ! [C] :
% 2.09/2.15 ( in(C,A)
% 2.09/2.15 => in(C,B) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d3_xboole_0,axiom,
% 2.09/2.15 ! [A,B,C] :
% 2.09/2.15 ( C = set_intersection2(A,B)
% 2.09/2.15 <=> ! [D] :
% 2.09/2.15 ( in(D,C)
% 2.09/2.15 <=> ( in(D,A)
% 2.09/2.15 & in(D,B) ) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d4_relat_1,axiom,
% 2.09/2.15 ! [A] :
% 2.09/2.15 ( relation(A)
% 2.09/2.15 => ! [B] :
% 2.09/2.15 ( B = relation_dom(A)
% 2.09/2.15 <=> ! [C] :
% 2.09/2.15 ( in(C,B)
% 2.09/2.15 <=> ? [D] : in(ordered_pair(C,D),A) ) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d4_subset_1,axiom,
% 2.09/2.15 ! [A] : cast_to_subset(A) = A ).
% 2.09/2.15
% 2.09/2.15 fof(d4_tarski,axiom,
% 2.09/2.15 ! [A,B] :
% 2.09/2.15 ( B = union(A)
% 2.09/2.15 <=> ! [C] :
% 2.09/2.15 ( in(C,B)
% 2.09/2.15 <=> ? [D] :
% 2.09/2.15 ( in(C,D)
% 2.09/2.15 & in(D,A) ) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d4_xboole_0,axiom,
% 2.09/2.15 ! [A,B,C] :
% 2.09/2.15 ( C = set_difference(A,B)
% 2.09/2.15 <=> ! [D] :
% 2.09/2.15 ( in(D,C)
% 2.09/2.15 <=> ( in(D,A)
% 2.09/2.15 & ~ in(D,B) ) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d5_relat_1,axiom,
% 2.09/2.15 ! [A] :
% 2.09/2.15 ( relation(A)
% 2.09/2.15 => ! [B] :
% 2.09/2.15 ( B = relation_rng(A)
% 2.09/2.15 <=> ! [C] :
% 2.09/2.15 ( in(C,B)
% 2.09/2.15 <=> ? [D] : in(ordered_pair(D,C),A) ) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d5_subset_1,axiom,
% 2.09/2.15 ! [A,B] :
% 2.09/2.15 ( element(B,powerset(A))
% 2.09/2.15 => subset_complement(A,B) = set_difference(A,B) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d5_tarski,axiom,
% 2.09/2.15 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 2.09/2.15
% 2.09/2.15 fof(d6_relat_1,axiom,
% 2.09/2.15 ! [A] :
% 2.09/2.15 ( relation(A)
% 2.09/2.15 => relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d7_relat_1,axiom,
% 2.09/2.15 ! [A] :
% 2.09/2.15 ( relation(A)
% 2.09/2.15 => ! [B] :
% 2.09/2.15 ( relation(B)
% 2.09/2.15 => ( B = relation_inverse(A)
% 2.09/2.15 <=> ! [C,D] :
% 2.09/2.15 ( in(ordered_pair(C,D),B)
% 2.09/2.15 <=> in(ordered_pair(D,C),A) ) ) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d7_xboole_0,axiom,
% 2.09/2.15 ! [A,B] :
% 2.09/2.15 ( disjoint(A,B)
% 2.09/2.15 <=> set_intersection2(A,B) = empty_set ) ).
% 2.09/2.15
% 2.09/2.15 fof(d8_relat_1,axiom,
% 2.09/2.15 ! [A] :
% 2.09/2.15 ( relation(A)
% 2.09/2.15 => ! [B] :
% 2.09/2.15 ( relation(B)
% 2.09/2.15 => ! [C] :
% 2.09/2.15 ( relation(C)
% 2.09/2.15 => ( C = relation_composition(A,B)
% 2.09/2.15 <=> ! [D,E] :
% 2.09/2.15 ( in(ordered_pair(D,E),C)
% 2.09/2.15 <=> ? [F] :
% 2.09/2.15 ( in(ordered_pair(D,F),A)
% 2.09/2.15 & in(ordered_pair(F,E),B) ) ) ) ) ) ) ).
% 2.09/2.15
% 2.09/2.15 fof(d8_setfam_1,axiom,
% 2.09/2.15 ! [A,B] :
% 2.09/2.15 ( element(B,powerset(powerset(A)))
% 2.09/2.15 => ! [C] :
% 2.09/2.15 ( element(C,powerset(powerset(A)))
% 2.09/2.15 => ( C = complements_of_subsets(A,B)
% 2.09/2.15 <=> ! [D] :
% 2.09/2.15 ( element(D,powerset(A))
% 2.09/2.15 => ( in(D,C)
% 2.09/2.15 <=> in(subset_complement(A,D),B) ) ) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(d8_xboole_0,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( proper_subset(A,B)
% 2.09/2.16 <=> ( subset(A,B)
% 2.09/2.16 & A != B ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k1_relat_1,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k1_setfam_1,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k1_tarski,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k1_xboole_0,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k1_zfmisc_1,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k2_relat_1,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k2_subset_1,axiom,
% 2.09/2.16 ! [A] : element(cast_to_subset(A),powerset(A)) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k2_tarski,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k2_xboole_0,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k2_zfmisc_1,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k3_relat_1,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k3_subset_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(A))
% 2.09/2.16 => element(subset_complement(A,B),powerset(A)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k3_tarski,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k3_xboole_0,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k4_relat_1,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => relation(relation_inverse(A)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k4_tarski,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k4_xboole_0,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k5_relat_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ( relation(A)
% 2.09/2.16 & relation(B) )
% 2.09/2.16 => relation(relation_composition(A,B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k5_setfam_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(powerset(A)))
% 2.09/2.16 => element(union_of_subsets(A,B),powerset(A)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k6_relat_1,axiom,
% 2.09/2.16 ! [A] : relation(identity_relation(A)) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k6_setfam_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(powerset(A)))
% 2.09/2.16 => element(meet_of_subsets(A,B),powerset(A)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k6_subset_1,axiom,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( ( element(B,powerset(A))
% 2.09/2.16 & element(C,powerset(A)) )
% 2.09/2.16 => element(subset_difference(A,B,C),powerset(A)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k7_relat_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => relation(relation_dom_restriction(A,B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_k7_setfam_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(powerset(A)))
% 2.09/2.16 => element(complements_of_subsets(A,B),powerset(powerset(A))) ) ).
% 2.09/2.16
% 2.09/2.16 fof(dt_m1_subset_1,axiom,
% 2.09/2.16 $true ).
% 2.09/2.16
% 2.09/2.16 fof(existence_m1_subset_1,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ? [B] : element(B,A) ).
% 2.09/2.16
% 2.09/2.16 fof(fc10_relat_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ( empty(A)
% 2.09/2.16 & relation(B) )
% 2.09/2.16 => ( empty(relation_composition(B,A))
% 2.09/2.16 & relation(relation_composition(B,A)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc1_relat_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ( relation(A)
% 2.09/2.16 & relation(B) )
% 2.09/2.16 => relation(set_intersection2(A,B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc1_subset_1,axiom,
% 2.09/2.16 ! [A] : ~ empty(powerset(A)) ).
% 2.09/2.16
% 2.09/2.16 fof(fc1_xboole_0,axiom,
% 2.09/2.16 empty(empty_set) ).
% 2.09/2.16
% 2.09/2.16 fof(fc1_zfmisc_1,axiom,
% 2.09/2.16 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 2.09/2.16
% 2.09/2.16 fof(fc2_relat_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ( relation(A)
% 2.09/2.16 & relation(B) )
% 2.09/2.16 => relation(set_union2(A,B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc2_subset_1,axiom,
% 2.09/2.16 ! [A] : ~ empty(singleton(A)) ).
% 2.09/2.16
% 2.09/2.16 fof(fc2_xboole_0,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ~ empty(A)
% 2.09/2.16 => ~ empty(set_union2(A,B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc3_subset_1,axiom,
% 2.09/2.16 ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 2.09/2.16
% 2.09/2.16 fof(fc3_xboole_0,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ~ empty(A)
% 2.09/2.16 => ~ empty(set_union2(B,A)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc4_relat_1,axiom,
% 2.09/2.16 ( empty(empty_set)
% 2.09/2.16 & relation(empty_set) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc4_subset_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ( ~ empty(A)
% 2.09/2.16 & ~ empty(B) )
% 2.09/2.16 => ~ empty(cartesian_product2(A,B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc5_relat_1,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( ( ~ empty(A)
% 2.09/2.16 & relation(A) )
% 2.09/2.16 => ~ empty(relation_dom(A)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc6_relat_1,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( ( ~ empty(A)
% 2.09/2.16 & relation(A) )
% 2.09/2.16 => ~ empty(relation_rng(A)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc7_relat_1,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( empty(A)
% 2.09/2.16 => ( empty(relation_dom(A))
% 2.09/2.16 & relation(relation_dom(A)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc8_relat_1,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( empty(A)
% 2.09/2.16 => ( empty(relation_rng(A))
% 2.09/2.16 & relation(relation_rng(A)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(fc9_relat_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ( empty(A)
% 2.09/2.16 & relation(B) )
% 2.09/2.16 => ( empty(relation_composition(A,B))
% 2.09/2.16 & relation(relation_composition(A,B)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(idempotence_k2_xboole_0,axiom,
% 2.09/2.16 ! [A,B] : set_union2(A,A) = A ).
% 2.09/2.16
% 2.09/2.16 fof(idempotence_k3_xboole_0,axiom,
% 2.09/2.16 ! [A,B] : set_intersection2(A,A) = A ).
% 2.09/2.16
% 2.09/2.16 fof(involutiveness_k3_subset_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(A))
% 2.09/2.16 => subset_complement(A,subset_complement(A,B)) = B ) ).
% 2.09/2.16
% 2.09/2.16 fof(involutiveness_k4_relat_1,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => relation_inverse(relation_inverse(A)) = A ) ).
% 2.09/2.16
% 2.09/2.16 fof(involutiveness_k7_setfam_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(powerset(A)))
% 2.09/2.16 => complements_of_subsets(A,complements_of_subsets(A,B)) = B ) ).
% 2.09/2.16
% 2.09/2.16 fof(irreflexivity_r2_xboole_0,axiom,
% 2.09/2.16 ! [A,B] : ~ proper_subset(A,A) ).
% 2.09/2.16
% 2.09/2.16 fof(l1_zfmisc_1,lemma,
% 2.09/2.16 ! [A] : singleton(A) != empty_set ).
% 2.09/2.16
% 2.09/2.16 fof(l23_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( in(A,B)
% 2.09/2.16 => set_union2(singleton(A),B) = B ) ).
% 2.09/2.16
% 2.09/2.16 fof(l25_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ~ ( disjoint(singleton(A),B)
% 2.09/2.16 & in(A,B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(l28_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ~ in(A,B)
% 2.09/2.16 => disjoint(singleton(A),B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(l2_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( subset(singleton(A),B)
% 2.09/2.16 <=> in(A,B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(l32_xboole_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( set_difference(A,B) = empty_set
% 2.09/2.16 <=> subset(A,B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(l3_subset_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(A))
% 2.09/2.16 => ! [C] :
% 2.09/2.16 ( in(C,B)
% 2.09/2.16 => in(C,A) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(l3_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( subset(A,B)
% 2.09/2.16 => ( in(C,A)
% 2.09/2.16 | subset(A,set_difference(B,singleton(C))) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(l4_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( subset(A,singleton(B))
% 2.09/2.16 <=> ( A = empty_set
% 2.09/2.16 | A = singleton(B) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(l50_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( in(A,B)
% 2.09/2.16 => subset(A,union(B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(l55_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C,D] :
% 2.09/2.16 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 2.09/2.16 <=> ( in(A,C)
% 2.09/2.16 & in(B,D) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(l71_subset_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ! [C] :
% 2.09/2.16 ( in(C,A)
% 2.09/2.16 => in(C,B) )
% 2.09/2.16 => element(A,powerset(B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(rc1_relat_1,axiom,
% 2.09/2.16 ? [A] :
% 2.09/2.16 ( empty(A)
% 2.09/2.16 & relation(A) ) ).
% 2.09/2.16
% 2.09/2.16 fof(rc1_subset_1,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( ~ empty(A)
% 2.09/2.16 => ? [B] :
% 2.09/2.16 ( element(B,powerset(A))
% 2.09/2.16 & ~ empty(B) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(rc1_xboole_0,axiom,
% 2.09/2.16 ? [A] : empty(A) ).
% 2.09/2.16
% 2.09/2.16 fof(rc2_relat_1,axiom,
% 2.09/2.16 ? [A] :
% 2.09/2.16 ( ~ empty(A)
% 2.09/2.16 & relation(A) ) ).
% 2.09/2.16
% 2.09/2.16 fof(rc2_subset_1,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ? [B] :
% 2.09/2.16 ( element(B,powerset(A))
% 2.09/2.16 & empty(B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(rc2_xboole_0,axiom,
% 2.09/2.16 ? [A] : ~ empty(A) ).
% 2.09/2.16
% 2.09/2.16 fof(redefinition_k5_setfam_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(powerset(A)))
% 2.09/2.16 => union_of_subsets(A,B) = union(B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(redefinition_k6_setfam_1,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(powerset(A)))
% 2.09/2.16 => meet_of_subsets(A,B) = set_meet(B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(redefinition_k6_subset_1,axiom,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( ( element(B,powerset(A))
% 2.09/2.16 & element(C,powerset(A)) )
% 2.09/2.16 => subset_difference(A,B,C) = set_difference(B,C) ) ).
% 2.09/2.16
% 2.09/2.16 fof(reflexivity_r1_tarski,axiom,
% 2.09/2.16 ! [A,B] : subset(A,A) ).
% 2.09/2.16
% 2.09/2.16 fof(symmetry_r1_xboole_0,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( disjoint(A,B)
% 2.09/2.16 => disjoint(B,A) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t106_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C,D] :
% 2.09/2.16 ( in(ordered_pair(A,B),cartesian_product2(C,D))
% 2.09/2.16 <=> ( in(A,C)
% 2.09/2.16 & in(B,D) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t10_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C,D] :
% 2.09/2.16 ~ ( unordered_pair(A,B) = unordered_pair(C,D)
% 2.09/2.16 & A != C
% 2.09/2.16 & A != D ) ).
% 2.09/2.16
% 2.09/2.16 fof(t118_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( subset(A,B)
% 2.09/2.16 => ( subset(cartesian_product2(A,C),cartesian_product2(B,C))
% 2.09/2.16 & subset(cartesian_product2(C,A),cartesian_product2(C,B)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t119_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C,D] :
% 2.09/2.16 ( ( subset(A,B)
% 2.09/2.16 & subset(C,D) )
% 2.09/2.16 => subset(cartesian_product2(A,C),cartesian_product2(B,D)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t12_xboole_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( subset(A,B)
% 2.09/2.16 => set_union2(A,B) = B ) ).
% 2.09/2.16
% 2.09/2.16 fof(t136_zfmisc_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ? [B] :
% 2.09/2.16 ( in(A,B)
% 2.09/2.16 & ! [C,D] :
% 2.09/2.16 ( ( in(C,B)
% 2.09/2.16 & subset(D,C) )
% 2.09/2.16 => in(D,B) )
% 2.09/2.16 & ! [C] :
% 2.09/2.16 ( in(C,B)
% 2.09/2.16 => in(powerset(C),B) )
% 2.09/2.16 & ! [C] :
% 2.09/2.16 ~ ( subset(C,B)
% 2.09/2.16 & ~ are_equipotent(C,B)
% 2.09/2.16 & ~ in(C,B) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t17_xboole_1,lemma,
% 2.09/2.16 ! [A,B] : subset(set_intersection2(A,B),A) ).
% 2.09/2.16
% 2.09/2.16 fof(t19_xboole_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( ( subset(A,B)
% 2.09/2.16 & subset(A,C) )
% 2.09/2.16 => subset(A,set_intersection2(B,C)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t1_boole,axiom,
% 2.09/2.16 ! [A] : set_union2(A,empty_set) = A ).
% 2.09/2.16
% 2.09/2.16 fof(t1_subset,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( in(A,B)
% 2.09/2.16 => element(A,B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t1_xboole_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( ( subset(A,B)
% 2.09/2.16 & subset(B,C) )
% 2.09/2.16 => subset(A,C) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t1_zfmisc_1,lemma,
% 2.09/2.16 powerset(empty_set) = singleton(empty_set) ).
% 2.09/2.16
% 2.09/2.16 fof(t20_relat_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( relation(C)
% 2.09/2.16 => ( in(ordered_pair(A,B),C)
% 2.09/2.16 => ( in(A,relation_dom(C))
% 2.09/2.16 & in(B,relation_rng(C)) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t21_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t25_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => ! [B] :
% 2.09/2.16 ( relation(B)
% 2.09/2.16 => ( subset(A,B)
% 2.09/2.16 => ( subset(relation_dom(A),relation_dom(B))
% 2.09/2.16 & subset(relation_rng(A),relation_rng(B)) ) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t26_xboole_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( subset(A,B)
% 2.09/2.16 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t28_xboole_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( subset(A,B)
% 2.09/2.16 => set_intersection2(A,B) = A ) ).
% 2.09/2.16
% 2.09/2.16 fof(t2_boole,axiom,
% 2.09/2.16 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 2.09/2.16
% 2.09/2.16 fof(t2_subset,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(A,B)
% 2.09/2.16 => ( empty(B)
% 2.09/2.16 | in(A,B) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t2_tarski,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ! [C] :
% 2.09/2.16 ( in(C,A)
% 2.09/2.16 <=> in(C,B) )
% 2.09/2.16 => A = B ) ).
% 2.09/2.16
% 2.09/2.16 fof(t2_xboole_1,lemma,
% 2.09/2.16 ! [A] : subset(empty_set,A) ).
% 2.09/2.16
% 2.09/2.16 fof(t30_relat_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( relation(C)
% 2.09/2.16 => ( in(ordered_pair(A,B),C)
% 2.09/2.16 => ( in(A,relation_field(C))
% 2.09/2.16 & in(B,relation_field(C)) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t33_xboole_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( subset(A,B)
% 2.09/2.16 => subset(set_difference(A,C),set_difference(B,C)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t33_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C,D] :
% 2.09/2.16 ( ordered_pair(A,B) = ordered_pair(C,D)
% 2.09/2.16 => ( A = C
% 2.09/2.16 & B = D ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t36_xboole_1,lemma,
% 2.09/2.16 ! [A,B] : subset(set_difference(A,B),A) ).
% 2.09/2.16
% 2.09/2.16 fof(t37_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => ( relation_rng(A) = relation_dom(relation_inverse(A))
% 2.09/2.16 & relation_dom(A) = relation_rng(relation_inverse(A)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t37_xboole_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( set_difference(A,B) = empty_set
% 2.09/2.16 <=> subset(A,B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t37_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( subset(singleton(A),B)
% 2.09/2.16 <=> in(A,B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t38_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( subset(unordered_pair(A,B),C)
% 2.09/2.16 <=> ( in(A,C)
% 2.09/2.16 & in(B,C) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t39_xboole_1,lemma,
% 2.09/2.16 ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
% 2.09/2.16
% 2.09/2.16 fof(t39_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( subset(A,singleton(B))
% 2.09/2.16 <=> ( A = empty_set
% 2.09/2.16 | A = singleton(B) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t3_boole,axiom,
% 2.09/2.16 ! [A] : set_difference(A,empty_set) = A ).
% 2.09/2.16
% 2.09/2.16 fof(t3_subset,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(A,powerset(B))
% 2.09/2.16 <=> subset(A,B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t3_xboole_0,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ~ ( ~ disjoint(A,B)
% 2.09/2.16 & ! [C] :
% 2.09/2.16 ~ ( in(C,A)
% 2.09/2.16 & in(C,B) ) )
% 2.09/2.16 & ~ ( ? [C] :
% 2.09/2.16 ( in(C,A)
% 2.09/2.16 & in(C,B) )
% 2.09/2.16 & disjoint(A,B) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t3_xboole_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( subset(A,empty_set)
% 2.09/2.16 => A = empty_set ) ).
% 2.09/2.16
% 2.09/2.16 fof(t40_xboole_1,lemma,
% 2.09/2.16 ! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
% 2.09/2.16
% 2.09/2.16 fof(t43_subset_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(A))
% 2.09/2.16 => ! [C] :
% 2.09/2.16 ( element(C,powerset(A))
% 2.09/2.16 => ( disjoint(B,C)
% 2.09/2.16 <=> subset(B,subset_complement(A,C)) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t44_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => ! [B] :
% 2.09/2.16 ( relation(B)
% 2.09/2.16 => subset(relation_dom(relation_composition(A,B)),relation_dom(A)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t45_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => ! [B] :
% 2.09/2.16 ( relation(B)
% 2.09/2.16 => subset(relation_rng(relation_composition(A,B)),relation_rng(B)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t45_xboole_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( subset(A,B)
% 2.09/2.16 => B = set_union2(A,set_difference(B,A)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t46_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => ! [B] :
% 2.09/2.16 ( relation(B)
% 2.09/2.16 => ( subset(relation_rng(A),relation_dom(B))
% 2.09/2.16 => relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t46_setfam_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(powerset(A)))
% 2.09/2.16 => ~ ( B != empty_set
% 2.09/2.16 & complements_of_subsets(A,B) = empty_set ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t46_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( in(A,B)
% 2.09/2.16 => set_union2(singleton(A),B) = B ) ).
% 2.09/2.16
% 2.09/2.16 fof(t47_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => ! [B] :
% 2.09/2.16 ( relation(B)
% 2.09/2.16 => ( subset(relation_dom(A),relation_rng(B))
% 2.09/2.16 => relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t47_setfam_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(powerset(A)))
% 2.09/2.16 => ( B != empty_set
% 2.09/2.16 => subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t48_setfam_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( element(B,powerset(powerset(A)))
% 2.09/2.16 => ( B != empty_set
% 2.09/2.16 => union_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t48_xboole_1,lemma,
% 2.09/2.16 ! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
% 2.09/2.16
% 2.09/2.16 fof(t4_boole,axiom,
% 2.09/2.16 ! [A] : set_difference(empty_set,A) = empty_set ).
% 2.09/2.16
% 2.09/2.16 fof(t4_subset,axiom,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( ( in(A,B)
% 2.09/2.16 & element(B,powerset(C)) )
% 2.09/2.16 => element(A,C) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t4_xboole_0,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( ~ ( ~ disjoint(A,B)
% 2.09/2.16 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 2.09/2.16 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 2.09/2.16 & disjoint(A,B) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t50_subset_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( A != empty_set
% 2.09/2.16 => ! [B] :
% 2.09/2.16 ( element(B,powerset(A))
% 2.09/2.16 => ! [C] :
% 2.09/2.16 ( element(C,A)
% 2.09/2.16 => ( ~ in(C,B)
% 2.09/2.16 => in(C,subset_complement(A,B)) ) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t54_subset_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( element(C,powerset(A))
% 2.09/2.16 => ~ ( in(B,subset_complement(A,C))
% 2.09/2.16 & in(B,C) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t56_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => ( ! [B,C] : ~ in(ordered_pair(B,C),A)
% 2.09/2.16 => A = empty_set ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t5_subset,axiom,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ~ ( in(A,B)
% 2.09/2.16 & element(B,powerset(C))
% 2.09/2.16 & empty(C) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t60_relat_1,lemma,
% 2.09/2.16 ( relation_dom(empty_set) = empty_set
% 2.09/2.16 & relation_rng(empty_set) = empty_set ) ).
% 2.09/2.16
% 2.09/2.16 fof(t60_xboole_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ~ ( subset(A,B)
% 2.09/2.16 & proper_subset(B,A) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t63_xboole_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( ( subset(A,B)
% 2.09/2.16 & disjoint(B,C) )
% 2.09/2.16 => disjoint(A,C) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t64_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => ( ( relation_dom(A) = empty_set
% 2.09/2.16 | relation_rng(A) = empty_set )
% 2.09/2.16 => A = empty_set ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t65_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation(A)
% 2.09/2.16 => ( relation_dom(A) = empty_set
% 2.09/2.16 <=> relation_rng(A) = empty_set ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t65_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( set_difference(A,singleton(B)) = A
% 2.09/2.16 <=> ~ in(B,A) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t69_enumset1,lemma,
% 2.09/2.16 ! [A] : unordered_pair(A,A) = singleton(A) ).
% 2.09/2.16
% 2.09/2.16 fof(t6_boole,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( empty(A)
% 2.09/2.16 => A = empty_set ) ).
% 2.09/2.16
% 2.09/2.16 fof(t6_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( subset(singleton(A),singleton(B))
% 2.09/2.16 => A = B ) ).
% 2.09/2.16
% 2.09/2.16 fof(t71_relat_1,lemma,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ( relation_dom(identity_relation(A)) = A
% 2.09/2.16 & relation_rng(identity_relation(A)) = A ) ).
% 2.09/2.16
% 2.09/2.16 fof(t74_relat_1,lemma,
% 2.09/2.16 ! [A,B,C,D] :
% 2.09/2.16 ( relation(D)
% 2.09/2.16 => ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))
% 2.09/2.16 <=> ( in(A,C)
% 2.09/2.16 & in(ordered_pair(A,B),D) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t7_boole,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ~ ( in(A,B)
% 2.09/2.16 & empty(B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t7_xboole_1,lemma,
% 2.09/2.16 ! [A,B] : subset(A,set_union2(A,B)) ).
% 2.09/2.16
% 2.09/2.16 fof(t83_xboole_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( disjoint(A,B)
% 2.09/2.16 <=> set_difference(A,B) = A ) ).
% 2.09/2.16
% 2.09/2.16 fof(t86_relat_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( relation(C)
% 2.09/2.16 => ( in(A,relation_dom(relation_dom_restriction(C,B)))
% 2.09/2.16 <=> ( in(A,B)
% 2.09/2.16 & in(A,relation_dom(C)) ) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t88_relat_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( relation(B)
% 2.09/2.16 => subset(relation_dom_restriction(B,A),B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t8_boole,axiom,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ~ ( empty(A)
% 2.09/2.16 & A != B
% 2.09/2.16 & empty(B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t8_xboole_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( ( subset(A,B)
% 2.09/2.16 & subset(C,B) )
% 2.09/2.16 => subset(set_union2(A,C),B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t8_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( singleton(A) = unordered_pair(B,C)
% 2.09/2.16 => A = B ) ).
% 2.09/2.16
% 2.09/2.16 fof(t90_relat_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( relation(B)
% 2.09/2.16 => relation_dom(relation_dom_restriction(B,A)) = set_intersection2(relation_dom(B),A) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t92_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( in(A,B)
% 2.09/2.16 => subset(A,union(B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t94_relat_1,lemma,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( relation(B)
% 2.09/2.16 => relation_dom_restriction(B,A) = relation_composition(identity_relation(A),B) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t99_relat_1,conjecture,
% 2.09/2.16 ! [A,B] :
% 2.09/2.16 ( relation(B)
% 2.09/2.16 => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t99_zfmisc_1,lemma,
% 2.09/2.16 ! [A] : union(powerset(A)) = A ).
% 2.09/2.16
% 2.09/2.16 fof(t9_tarski,axiom,
% 2.09/2.16 ! [A] :
% 2.09/2.16 ? [B] :
% 2.09/2.16 ( in(A,B)
% 2.09/2.16 & ! [C,D] :
% 2.09/2.16 ( ( in(C,B)
% 2.09/2.16 & subset(D,C) )
% 2.09/2.16 => in(D,B) )
% 2.09/2.16 & ! [C] :
% 2.09/2.16 ~ ( in(C,B)
% 2.09/2.16 & ! [D] :
% 2.09/2.16 ~ ( in(D,B)
% 2.09/2.16 & ! [E] :
% 2.09/2.16 ( subset(E,C)
% 2.09/2.16 => in(E,D) ) ) )
% 2.09/2.16 & ! [C] :
% 2.09/2.16 ~ ( subset(C,B)
% 2.09/2.16 & ~ are_equipotent(C,B)
% 2.09/2.16 & ~ in(C,B) ) ) ).
% 2.09/2.16
% 2.09/2.16 fof(t9_zfmisc_1,lemma,
% 2.09/2.16 ! [A,B,C] :
% 2.09/2.16 ( singleton(A) = unordered_pair(B,C)
% 2.09/2.16 => B = C ) ).
% 2.09/2.16
% 2.09/2.16 %------------------------------------------------------------------------------
% 2.09/2.16 %-------------------------------------------
% 2.09/2.16 % Proof found
% 2.09/2.16 % SZS status Theorem for theBenchmark
% 2.09/2.16 % SZS output start Proof
% 2.09/2.17 %ClaNum:484(EqnAxiom:173)
% 2.09/2.17 %VarNum:2144(SingletonVarNum:674)
% 2.09/2.17 %MaxLitNum:7
% 2.09/2.17 %MaxfuncDepth:3
% 2.09/2.17 %SharedTerms:27
% 2.09/2.17 %goalClause: 183 218
% 2.09/2.17 %singleGoalClaCount:2
% 2.09/2.17 [177]P1(a1)
% 2.09/2.17 [178]P1(a5)
% 2.09/2.17 [179]P1(a45)
% 2.09/2.17 [180]P5(a1)
% 2.09/2.17 [181]P5(a5)
% 2.09/2.17 [182]P5(a47)
% 2.09/2.17 [183]P5(a48)
% 2.09/2.17 [211]~P1(a47)
% 2.09/2.17 [212]~P1(a52)
% 2.09/2.17 [174]E(f4(a1),a1)
% 2.09/2.17 [175]E(f70(a1),a1)
% 2.09/2.17 [193]E(f80(a1,a1),f67(a1))
% 2.09/2.17 [218]~P8(f70(f71(a48,a53)),f70(a48))
% 2.09/2.17 [190]P8(a1,x1901)
% 2.09/2.17 [194]P8(x1941,x1941)
% 2.09/2.17 [215]~P7(x2151,x2151)
% 2.09/2.17 [184]P1(f49(x1841))
% 2.09/2.17 [185]P5(f59(x1851))
% 2.09/2.17 [189]E(f75(a1,x1891),a1)
% 2.09/2.17 [191]E(f76(x1911,a1),x1911)
% 2.09/2.17 [192]E(f75(x1921,a1),x1921)
% 2.09/2.17 [195]E(f76(x1951,x1951),x1951)
% 2.09/2.17 [196]P6(x1961,f51(x1961))
% 2.09/2.17 [197]P6(x1971,f60(x1971))
% 2.09/2.17 [198]P2(x1981,f67(x1981))
% 2.09/2.17 [199]P2(f6(x1991),x1991)
% 2.09/2.17 [200]P2(f49(x2001),f67(x2001))
% 2.09/2.17 [213]~P1(f67(x2131))
% 2.09/2.17 [214]~E(f80(x2141,x2141),a1)
% 2.09/2.17 [186]E(f4(f59(x1861)),x1861)
% 2.09/2.17 [187]E(f74(f67(x1871)),x1871)
% 2.09/2.17 [188]E(f70(f59(x1881)),x1881)
% 2.09/2.17 [203]E(f75(x2031,f75(x2031,a1)),a1)
% 2.09/2.17 [206]E(f75(x2061,f75(x2061,x2061)),x2061)
% 2.09/2.17 [201]E(f80(x2011,x2012),f80(x2012,x2011))
% 2.09/2.17 [202]E(f76(x2021,x2022),f76(x2022,x2021))
% 2.09/2.17 [204]P8(x2041,f76(x2041,x2042))
% 2.09/2.17 [205]P8(f75(x2051,x2052),x2051)
% 2.09/2.17 [216]~P1(f80(x2161,x2162))
% 2.09/2.17 [207]E(f76(x2071,f75(x2072,x2071)),f76(x2071,x2072))
% 2.09/2.17 [208]E(f75(f76(x2081,x2082),x2082),f75(x2081,x2082))
% 2.09/2.17 [209]E(f75(x2091,f75(x2091,x2092)),f75(x2092,f75(x2092,x2091)))
% 2.09/2.17 [220]~P1(x2201)+E(x2201,a1)
% 2.09/2.17 [222]~P1(x2221)+P5(x2221)
% 2.09/2.17 [240]~P8(x2401,a1)+E(x2401,a1)
% 2.09/2.17 [227]~P1(x2271)+P1(f4(x2271))
% 2.09/2.17 [228]~P1(x2281)+P1(f70(x2281))
% 2.09/2.17 [229]~P1(x2291)+P5(f4(x2291))
% 2.09/2.17 [230]~P1(x2301)+P5(f70(x2301))
% 2.09/2.17 [231]~P5(x2311)+P5(f72(x2311))
% 2.09/2.17 [237]P1(x2371)+~P1(f46(x2371))
% 2.09/2.17 [241]P6(f7(x2411),x2411)+E(x2411,a1)
% 2.09/2.17 [242]P5(x2421)+P6(f62(x2421),x2421)
% 2.09/2.17 [249]P1(x2491)+P2(f46(x2491),f67(x2491))
% 2.09/2.17 [234]~P5(x2341)+E(f72(f72(x2341)),x2341)
% 2.09/2.17 [238]~P5(x2381)+E(f70(f72(x2381)),f4(x2381))
% 2.09/2.17 [239]~P5(x2391)+E(f4(f72(x2391)),f70(x2391))
% 2.09/2.17 [259]~P5(x2591)+E(f76(f4(x2591),f70(x2591)),f73(x2591))
% 2.09/2.17 [333]~P5(x3331)+P8(x3331,f2(f4(x3331),f70(x3331)))
% 2.09/2.17 [233]~E(x2331,x2332)+P8(x2331,x2332)
% 2.09/2.17 [243]~P6(x2432,x2431)+~E(x2431,a1)
% 2.09/2.17 [244]~P7(x2441,x2442)+~E(x2441,x2442)
% 2.09/2.17 [248]~P1(x2481)+~P6(x2482,x2481)
% 2.09/2.17 [255]~P7(x2551,x2552)+P8(x2551,x2552)
% 2.09/2.17 [256]~P6(x2561,x2562)+P2(x2561,x2562)
% 2.09/2.17 [257]~P3(x2572,x2571)+P3(x2571,x2572)
% 2.09/2.17 [282]~P6(x2822,x2821)+~P6(x2821,x2822)
% 2.09/2.17 [283]~P7(x2832,x2831)+~P7(x2831,x2832)
% 2.09/2.17 [284]~P8(x2842,x2841)+~P7(x2841,x2842)
% 2.09/2.17 [252]~P8(x2521,x2522)+E(f75(x2521,x2522),a1)
% 2.09/2.17 [254]P8(x2541,x2542)+~E(f75(x2541,x2542),a1)
% 2.09/2.17 [258]~P5(x2581)+P5(f71(x2581,x2582))
% 2.09/2.17 [260]~P8(x2601,x2602)+E(f76(x2601,x2602),x2602)
% 2.09/2.17 [261]~P3(x2611,x2612)+E(f75(x2611,x2612),x2611)
% 2.09/2.17 [262]P3(x2621,x2622)+~E(f75(x2621,x2622),x2621)
% 2.09/2.17 [272]~E(x2721,a1)+P8(x2721,f80(x2722,x2722))
% 2.09/2.17 [274]~P6(x2741,x2742)+P8(x2741,f74(x2742))
% 2.09/2.17 [275]~P8(x2751,x2752)+P2(x2751,f67(x2752))
% 2.09/2.17 [289]P8(x2891,x2892)+~P2(x2891,f67(x2892))
% 2.09/2.17 [290]~P5(x2901)+P8(f71(x2901,x2902),x2901)
% 2.09/2.17 [295]P1(x2951)+~P1(f76(x2952,x2951))
% 2.09/2.17 [296]P1(x2961)+~P1(f76(x2961,x2962))
% 2.09/2.17 [297]P6(x2971,x2972)+P3(f80(x2971,x2971),x2972)
% 2.09/2.17 [298]P8(x2981,x2982)+P6(f10(x2981,x2982),x2981)
% 2.09/2.17 [299]P3(x2991,x2992)+P6(f54(x2991,x2992),x2992)
% 2.09/2.17 [300]P3(x3001,x3002)+P6(f54(x3001,x3002),x3001)
% 2.09/2.17 [303]P6(f67(x3031),f51(x3032))+~P6(x3031,f51(x3032))
% 2.09/2.17 [307]~P2(x3072,f67(x3071))+E(f78(x3071,x3072),f75(x3071,x3072))
% 2.09/2.17 [308]P6(f44(x3081,x3082),x3081)+P2(x3081,f67(x3082))
% 2.09/2.17 [315]~P6(x3151,x3152)+P8(f80(x3151,x3151),x3152)
% 2.09/2.17 [347]P8(x3471,x3472)+~P6(f10(x3471,x3472),x3472)
% 2.09/2.17 [348]~P6(x3482,f60(x3481))+P6(f63(x3481,x3482),f60(x3481))
% 2.09/2.17 [349]~P2(x3492,f67(x3491))+P2(f78(x3491,x3492),f67(x3491))
% 2.09/2.17 [353]~P6(f44(x3531,x3532),x3532)+P2(x3531,f67(x3532))
% 2.09/2.17 [358]~P6(x3581,x3582)+~P3(f80(x3581,x3581),x3582)
% 2.09/2.17 [376]E(x3761,x3762)+~P8(f80(x3761,x3761),f80(x3762,x3762))
% 2.09/2.17 [264]~P5(x2642)+E(f69(f59(x2641),x2642),f71(x2642,x2641))
% 2.09/2.17 [301]P6(x3012,x3011)+E(f75(x3011,f80(x3012,x3012)),x3011)
% 2.09/2.17 [313]~P3(x3131,x3132)+E(f75(x3131,f75(x3131,x3132)),a1)
% 2.09/2.17 [318]~P8(x3181,x3182)+E(f76(x3181,f75(x3182,x3181)),x3182)
% 2.09/2.17 [319]~P8(x3191,x3192)+E(f75(x3191,f75(x3191,x3192)),x3191)
% 2.09/2.17 [321]~P6(x3211,x3212)+E(f76(f80(x3211,x3211),x3212),x3212)
% 2.09/2.17 [329]E(f81(x3291,x3292),f74(x3292))+~P2(x3292,f67(f67(x3291)))
% 2.09/2.17 [330]E(f68(x3301,x3302),f77(x3302))+~P2(x3302,f67(f67(x3301)))
% 2.09/2.17 [334]~P2(x3342,f67(x3341))+E(f78(x3341,f78(x3341,x3342)),x3342)
% 2.09/2.17 [342]P3(x3421,x3422)+~E(f75(x3421,f75(x3421,x3422)),a1)
% 2.09/2.17 [359]~P6(x3592,x3591)+~E(f75(x3591,f80(x3592,x3592)),x3591)
% 2.09/2.17 [365]~P2(x3652,f67(f67(x3651)))+E(f3(x3651,f3(x3651,x3652)),x3652)
% 2.09/2.17 [371]P2(f81(x3711,x3712),f67(x3711))+~P2(x3712,f67(f67(x3711)))
% 2.09/2.17 [372]P2(f68(x3721,x3722),f67(x3721))+~P2(x3722,f67(f67(x3721)))
% 2.09/2.17 [377]~P2(x3772,f67(f67(x3771)))+P2(f3(x3771,x3772),f67(f67(x3771)))
% 2.09/2.17 [390]P3(x3901,x3902)+P6(f56(x3901,x3902),f75(x3901,f75(x3901,x3902)))
% 2.09/2.17 [369]~P5(x3691)+E(f75(f4(x3691),f75(f4(x3691),x3692)),f4(f71(x3691,x3692)))
% 2.09/2.17 [287]E(x2871,x2872)+~E(f80(x2873,x2873),f80(x2871,x2872))
% 2.09/2.17 [288]E(x2881,x2882)+~E(f80(x2881,x2881),f80(x2882,x2883))
% 2.09/2.17 [343]P6(x3431,x3432)+~P8(f80(x3433,x3431),x3432)
% 2.09/2.17 [344]P6(x3441,x3442)+~P8(f80(x3441,x3443),x3442)
% 2.09/2.17 [360]~P8(x3601,x3603)+P8(f2(x3601,x3602),f2(x3603,x3602))
% 2.09/2.17 [361]~P8(x3612,x3613)+P8(f2(x3611,x3612),f2(x3611,x3613))
% 2.09/2.17 [362]~P8(x3621,x3623)+P8(f75(x3621,x3622),f75(x3623,x3622))
% 2.09/2.17 [383]P5(x3831)+~E(f62(x3831),f80(f80(x3832,x3833),f80(x3832,x3832)))
% 2.09/2.17 [401]~P3(x4011,x4012)+~P6(x4013,f75(x4011,f75(x4011,x4012)))
% 2.09/2.17 [408]~P8(x4081,x4083)+P8(f75(x4081,f75(x4081,x4082)),f75(x4083,f75(x4083,x4082)))
% 2.09/2.17 [409]E(x4091,x4092)+~E(f80(f80(x4093,x4091),f80(x4093,x4093)),f80(f80(x4094,x4092),f80(x4094,x4094)))
% 2.09/2.17 [410]E(x4101,x4102)+~E(f80(f80(x4101,x4103),f80(x4101,x4101)),f80(f80(x4102,x4104),f80(x4102,x4102)))
% 2.09/2.17 [432]P6(x4321,x4322)+~P6(f80(f80(x4323,x4321),f80(x4323,x4323)),f2(x4324,x4322))
% 2.09/2.17 [434]P6(x4341,x4342)+~P6(f80(f80(x4341,x4343),f80(x4341,x4341)),f2(x4342,x4344))
% 2.09/2.17 [224]~P5(x2241)+E(x2241,a1)+~E(f4(x2241),a1)
% 2.09/2.17 [225]~P5(x2251)+E(x2251,a1)+~E(f70(x2251),a1)
% 2.09/2.17 [235]~P5(x2351)+~E(f70(x2351),a1)+E(f4(x2351),a1)
% 2.09/2.17 [236]~P5(x2361)+~E(f4(x2361),a1)+E(f70(x2361),a1)
% 2.09/2.17 [245]~P5(x2451)+P1(x2451)+~P1(f4(x2451))
% 2.09/2.17 [246]~P5(x2461)+P1(x2461)+~P1(f70(x2461))
% 2.09/2.17 [419]~P5(x4191)+E(x4191,a1)+P6(f80(f80(f57(x4191),f58(x4191)),f80(f57(x4191),f57(x4191))),x4191)
% 2.09/2.17 [226]~P1(x2262)+~P1(x2261)+E(x2261,x2262)
% 2.09/2.17 [247]~P1(x2472)+~P1(x2471)+P2(x2471,x2472)
% 2.09/2.17 [250]~P2(x2501,x2502)+P1(x2501)+~P1(x2502)
% 2.09/2.17 [263]P7(x2631,x2632)+~P8(x2631,x2632)+E(x2631,x2632)
% 2.09/2.17 [266]~P2(x2662,x2661)+P1(x2661)+P6(x2662,x2661)
% 2.09/2.17 [291]~P8(x2912,x2911)+~P8(x2911,x2912)+E(x2911,x2912)
% 2.09/2.17 [221]~E(x2212,a1)+~E(x2211,a1)+E(x2211,f77(x2212))
% 2.09/2.17 [223]~E(x2231,f77(x2232))+E(x2231,a1)+~E(x2232,a1)
% 2.09/2.17 [276]~P1(x2762)+~P5(x2761)+P1(f69(x2761,x2762))
% 2.09/2.17 [277]~P1(x2771)+~P5(x2772)+P1(f69(x2771,x2772))
% 2.09/2.17 [278]~P5(x2782)+~P5(x2781)+P5(f76(x2781,x2782))
% 2.09/2.17 [279]~P1(x2792)+~P5(x2791)+P5(f69(x2791,x2792))
% 2.09/2.17 [280]~P1(x2801)+~P5(x2802)+P5(f69(x2801,x2802))
% 2.09/2.17 [281]~P5(x2812)+~P5(x2811)+P5(f69(x2811,x2812))
% 2.09/2.17 [302]P1(x3021)+P1(x3022)+~P1(f2(x3022,x3021))
% 2.09/2.17 [332]E(f8(x3322,x3321),x3322)+P6(f8(x3322,x3321),x3321)+E(x3321,f80(x3322,x3322))
% 2.09/2.17 [335]P6(x3351,f51(x3352))+P4(x3351,f51(x3352))+~P8(x3351,f51(x3352))
% 2.09/2.17 [336]P6(x3361,f60(x3362))+P4(x3361,f60(x3362))+~P8(x3361,f60(x3362))
% 2.09/2.17 [351]E(x3511,f80(x3512,x3512))+~P8(x3511,f80(x3512,x3512))+E(x3511,a1)
% 2.09/2.17 [352]E(x3521,x3522)+P6(f55(x3521,x3522),x3522)+P6(f55(x3521,x3522),x3521)
% 2.09/2.17 [356]P6(f11(x3562,x3561),x3561)+P8(f11(x3562,x3561),x3562)+E(x3561,f67(x3562))
% 2.09/2.17 [357]P6(f24(x3572,x3571),x3571)+P6(f31(x3572,x3571),x3572)+E(x3571,f74(x3572))
% 2.09/2.17 [375]~E(f8(x3752,x3751),x3752)+~P6(f8(x3752,x3751),x3751)+E(x3751,f80(x3752,x3752))
% 2.09/2.17 [382]P6(f24(x3822,x3821),x3821)+P6(f24(x3822,x3821),f31(x3822,x3821))+E(x3821,f74(x3822))
% 2.09/2.17 [387]E(x3871,x3872)+~P6(f55(x3871,x3872),x3872)+~P6(f55(x3871,x3872),x3871)
% 2.09/2.17 [389]~P6(f11(x3892,x3891),x3891)+~P8(f11(x3892,x3891),x3892)+E(x3891,f67(x3892))
% 2.09/2.17 [341]E(x3411,a1)+~P2(x3411,f67(f67(x3412)))+~E(f3(x3412,x3411),a1)
% 2.09/2.17 [366]~P5(x3662)+~P5(x3661)+P8(f4(f69(x3661,x3662)),f4(x3661))
% 2.09/2.17 [367]~P5(x3672)+~P5(x3671)+P8(f70(f69(x3671,x3672)),f70(x3672))
% 2.09/2.17 [370]~P5(x3702)+~P5(x3701)+P5(f75(x3701,f75(x3701,x3702)))
% 2.09/2.17 [402]E(x4021,a1)+~P2(x4021,f67(f67(x4022)))+E(f79(x4022,x4022,f68(x4022,x4021)),f81(x4022,f3(x4022,x4021)))
% 2.09/2.17 [403]E(x4031,a1)+~P2(x4031,f67(f67(x4032)))+E(f79(x4032,x4032,f81(x4032,x4031)),f68(x4032,f3(x4032,x4031)))
% 2.09/2.17 [439]~P5(x4391)+~P6(x4392,x4391)+E(f80(f80(f61(x4391,x4392),f64(x4391,x4392)),f80(f61(x4391,x4392),f61(x4391,x4392))),x4392)
% 2.09/2.17 [304]~P8(x3043,x3042)+P6(x3041,x3042)+~P6(x3041,x3043)
% 2.09/2.17 [305]~P8(x3051,x3053)+P8(x3051,x3052)+~P8(x3053,x3052)
% 2.09/2.17 [306]~P3(x3063,x3062)+P3(x3061,x3062)+~P8(x3061,x3063)
% 2.09/2.17 [324]~P3(x3243,x3242)+~P6(x3241,x3242)+~P6(x3241,x3243)
% 2.09/2.17 [285]~P8(x2851,x2853)+P6(x2851,x2852)+~E(x2852,f67(x2853))
% 2.09/2.17 [286]~P6(x2861,x2863)+P8(x2861,x2862)+~E(x2863,f67(x2862))
% 2.09/2.17 [293]~P6(x2931,x2933)+E(x2931,x2932)+~E(x2933,f80(x2932,x2932))
% 2.09/2.17 [312]~P1(x3121)+~P6(x3122,x3123)+~P2(x3123,f67(x3121))
% 2.09/2.17 [327]P6(x3271,x3272)+~P6(x3271,x3273)+~P2(x3273,f67(x3272))
% 2.09/2.17 [328]P2(x3281,x3282)+~P6(x3281,x3283)+~P2(x3283,f67(x3282))
% 2.09/2.17 [337]~P8(x3371,x3373)+P6(x3371,f51(x3372))+~P6(x3373,f51(x3372))
% 2.09/2.17 [338]~P8(x3381,x3383)+P6(x3381,f60(x3382))+~P6(x3383,f60(x3382))
% 2.09/2.17 [354]~P6(x3542,x3543)+~P6(x3541,x3543)+P8(f80(x3541,x3542),x3543)
% 2.09/2.17 [355]~P8(x3552,x3553)+~P8(x3551,x3553)+P8(f76(x3551,x3552),x3553)
% 2.09/2.17 [368]~P8(x3681,x3683)+~P6(x3683,f60(x3682))+P6(x3681,f63(x3682,x3683))
% 2.09/2.17 [384]~P6(x3841,x3842)+~P6(x3841,f78(x3843,x3842))+~P2(x3842,f67(x3843))
% 2.09/2.17 [391]~P2(x3913,f67(x3911))+~P2(x3912,f67(x3911))+E(f79(x3911,x3912,x3913),f75(x3912,x3913))
% 2.09/2.17 [398]~P6(x3981,x3983)+~E(x3983,f74(x3982))+P6(x3981,f25(x3982,x3983,x3981))
% 2.09/2.17 [399]~P6(x3993,x3992)+~E(x3992,f74(x3991))+P6(f25(x3991,x3992,x3993),x3991)
% 2.09/2.17 [407]~P2(x4073,f67(x4071))+~P2(x4072,f67(x4071))+P2(f79(x4071,x4072,x4073),f67(x4071))
% 2.09/2.17 [427]P6(f15(x4272,x4273,x4271),x4271)+P6(f20(x4272,x4273,x4271),x4272)+E(x4271,f2(x4272,x4273))
% 2.09/2.17 [428]P6(f15(x4282,x4283,x4281),x4281)+P6(f21(x4282,x4283,x4281),x4283)+E(x4281,f2(x4282,x4283))
% 2.09/2.17 [429]P6(f33(x4292,x4293,x4291),x4291)+P6(f33(x4292,x4293,x4291),x4292)+E(x4291,f75(x4292,x4293))
% 2.09/2.17 [437]~E(f12(x4372,x4373,x4371),x4373)+~P6(f12(x4372,x4373,x4371),x4371)+E(x4371,f80(x4372,x4373))
% 2.09/2.17 [438]~E(f12(x4382,x4383,x4381),x4382)+~P6(f12(x4382,x4383,x4381),x4381)+E(x4381,f80(x4382,x4383))
% 2.09/2.17 [441]P6(f33(x4412,x4413,x4411),x4411)+~P6(f33(x4412,x4413,x4411),x4413)+E(x4411,f75(x4412,x4413))
% 2.09/2.17 [445]~P6(f16(x4452,x4453,x4451),x4451)+~P6(f16(x4452,x4453,x4451),x4453)+E(x4451,f76(x4452,x4453))
% 2.09/2.17 [446]~P6(f16(x4462,x4463,x4461),x4461)+~P6(f16(x4462,x4463,x4461),x4462)+E(x4461,f76(x4462,x4463))
% 2.09/2.17 [388]~P8(x3882,x3883)+P6(x3881,x3882)+P8(x3882,f75(x3883,f80(x3881,x3881)))
% 2.09/2.17 [393]P6(x3931,x3932)+~P5(x3933)+~P6(x3931,f4(f71(x3933,x3932)))
% 2.09/2.17 [394]~P8(x3941,x3943)+~P8(x3941,x3942)+P8(x3941,f75(x3942,f75(x3942,x3943)))
% 2.09/2.17 [395]~P5(x3952)+P6(x3951,f4(x3952))+~P6(x3951,f4(f71(x3952,x3953)))
% 2.09/2.17 [420]~P5(x4202)+P6(x4201,f4(x4202))+~P6(f80(f80(x4201,x4203),f80(x4201,x4201)),x4202)
% 2.09/2.17 [421]~P5(x4212)+P6(x4211,f70(x4212))+~P6(f80(f80(x4213,x4211),f80(x4213,x4213)),x4212)
% 2.09/2.17 [422]~P5(x4222)+P6(x4221,f73(x4222))+~P6(f80(f80(x4223,x4221),f80(x4223,x4223)),x4222)
% 2.09/2.17 [423]~P5(x4232)+P6(x4231,f73(x4232))+~P6(f80(f80(x4231,x4233),f80(x4231,x4231)),x4232)
% 2.09/2.17 [435]P6(f26(x4352,x4353,x4351),x4351)+P6(f26(x4352,x4353,x4351),x4353)+E(x4351,f75(x4352,f75(x4352,x4353)))
% 2.09/2.17 [436]P6(f26(x4362,x4363,x4361),x4361)+P6(f26(x4362,x4363,x4361),x4362)+E(x4361,f75(x4362,f75(x4362,x4363)))
% 2.09/2.17 [470]P6(f15(x4702,x4703,x4701),x4701)+E(x4701,f2(x4702,x4703))+E(f80(f80(f20(x4702,x4703,x4701),f21(x4702,x4703,x4701)),f80(f20(x4702,x4703,x4701),f20(x4702,x4703,x4701))),f15(x4702,x4703,x4701))
% 2.09/2.17 [268]P6(x2681,x2682)+~E(x2681,x2683)+~E(x2682,f80(x2684,x2683))
% 2.09/2.17 [269]P6(x2691,x2692)+~E(x2691,x2693)+~E(x2692,f80(x2693,x2694))
% 2.09/2.17 [292]E(x2921,x2922)+E(x2921,x2923)+~E(f80(x2921,x2924),f80(x2923,x2922))
% 2.09/2.17 [309]~P6(x3091,x3094)+P6(x3091,x3092)+~E(x3092,f76(x3093,x3094))
% 2.09/2.17 [310]~P6(x3101,x3103)+P6(x3101,x3102)+~E(x3102,f76(x3103,x3104))
% 2.09/2.17 [311]~P6(x3111,x3113)+P6(x3111,x3112)+~E(x3113,f75(x3112,x3114))
% 2.09/2.17 [326]~P6(x3264,x3263)+~P6(x3264,x3261)+~E(x3261,f75(x3262,x3263))
% 2.09/2.17 [381]~P8(x3812,x3814)+~P8(x3811,x3813)+P8(f2(x3811,x3812),f2(x3813,x3814))
% 2.09/2.17 [456]~P6(x4564,x4563)+~E(x4563,f2(x4561,x4562))+P6(f17(x4561,x4562,x4563,x4564),x4561)
% 2.09/2.17 [457]~P6(x4574,x4573)+~E(x4573,f2(x4571,x4572))+P6(f18(x4571,x4572,x4573,x4574),x4572)
% 2.09/2.17 [373]~P6(x3731,x3733)+P6(x3731,x3732)+~E(x3733,f75(x3734,f75(x3734,x3732)))
% 2.09/2.17 [413]~P6(x4132,x4134)+~P6(x4131,x4133)+P6(f80(f80(x4131,x4132),f80(x4131,x4131)),f2(x4133,x4134))
% 2.09/2.17 [440]P6(x4401,x4402)+~P5(x4403)+~P6(f80(f80(x4401,x4404),f80(x4401,x4401)),f69(f59(x4402),x4403))
% 2.09/2.17 [450]~P5(x4503)+P6(f80(f80(x4501,x4502),f80(x4501,x4501)),x4503)+~P6(f80(f80(x4501,x4502),f80(x4501,x4501)),f69(f59(x4504),x4503))
% 2.09/2.17 [480]~P6(x4804,x4803)+~E(x4803,f2(x4801,x4802))+E(f80(f80(f17(x4801,x4802,x4803,x4804),f18(x4801,x4802,x4803,x4804)),f80(f17(x4801,x4802,x4803,x4804),f17(x4801,x4802,x4803,x4804))),x4804)
% 2.09/2.17 [316]~P5(x3162)+~P5(x3161)+~P8(x3161,x3162)+P8(f4(x3161),f4(x3162))
% 2.09/2.17 [317]~P5(x3172)+~P5(x3171)+~P8(x3171,x3172)+P8(f70(x3171),f70(x3172))
% 2.09/2.17 [379]P6(f9(x3791,x3792),x3791)+~P6(f65(x3791,x3792),x3792)+E(x3791,a1)+E(x3792,f77(x3791))
% 2.09/2.17 [404]~P6(f65(x4041,x4042),x4042)+~P6(f65(x4041,x4042),f9(x4041,x4042))+E(x4041,a1)+E(x4042,f77(x4041))
% 2.09/2.17 [363]~P5(x3632)+~P5(x3631)+~P8(f70(x3631),f4(x3632))+E(f4(f69(x3631,x3632)),f4(x3631))
% 2.09/2.17 [364]~P5(x3641)+~P5(x3642)+~P8(f4(x3642),f70(x3641))+E(f70(f69(x3641,x3642)),f70(x3642))
% 2.09/2.17 [458]~P5(x4582)+~P5(x4581)+P8(x4581,x4582)+P6(f80(f80(f22(x4581,x4582),f23(x4581,x4582)),f80(f22(x4581,x4582),f22(x4581,x4582))),x4581)
% 2.09/2.17 [459]~P5(x4591)+E(f19(x4592,x4591),f27(x4592,x4591))+E(x4591,f59(x4592))+P6(f80(f80(f19(x4592,x4591),f27(x4592,x4591)),f80(f19(x4592,x4591),f19(x4592,x4591))),x4591)
% 2.09/2.17 [461]~P5(x4611)+P6(f19(x4612,x4611),x4612)+E(x4611,f59(x4612))+P6(f80(f80(f19(x4612,x4611),f27(x4612,x4611)),f80(f19(x4612,x4611),f19(x4612,x4611))),x4611)
% 2.09/2.17 [462]~P5(x4622)+P6(f29(x4622,x4621),x4621)+E(x4621,f4(x4622))+P6(f80(f80(f29(x4622,x4621),f30(x4622,x4621)),f80(f29(x4622,x4621),f29(x4622,x4621))),x4622)
% 2.09/2.17 [463]~P5(x4632)+P6(f34(x4632,x4631),x4631)+E(x4631,f70(x4632))+P6(f80(f80(f36(x4632,x4631),f34(x4632,x4631)),f80(f36(x4632,x4631),f36(x4632,x4631))),x4632)
% 2.09/2.17 [468]~P5(x4682)+~P5(x4681)+P8(x4681,x4682)+~P6(f80(f80(f22(x4681,x4682),f23(x4681,x4682)),f80(f22(x4681,x4682),f22(x4681,x4682))),x4682)
% 2.09/2.17 [386]~P3(x3861,x3863)+~P2(x3863,f67(x3862))+~P2(x3861,f67(x3862))+P8(x3861,f78(x3862,x3863))
% 2.09/2.17 [396]P3(x3961,x3962)+~P8(x3961,f78(x3963,x3962))+~P2(x3962,f67(x3963))+~P2(x3961,f67(x3963))
% 2.09/2.17 [397]P6(x3972,x3973)+P6(f66(x3971,x3973,x3972),x3971)+~E(x3973,f77(x3971))+E(x3971,a1)
% 2.09/2.17 [400]~P6(x4003,x4002)+~P6(f24(x4002,x4001),x4003)+~P6(f24(x4002,x4001),x4001)+E(x4001,f74(x4002))
% 2.09/2.17 [411]P6(x4112,x4113)+~E(x4113,f77(x4111))+~P6(x4112,f66(x4111,x4113,x4112))+E(x4111,a1)
% 2.09/2.17 [418]E(f12(x4182,x4183,x4181),x4183)+E(f12(x4182,x4183,x4181),x4182)+P6(f12(x4182,x4183,x4181),x4181)+E(x4181,f80(x4182,x4183))
% 2.09/2.17 [442]P6(f16(x4422,x4423,x4421),x4421)+P6(f16(x4422,x4423,x4421),x4423)+P6(f16(x4422,x4423,x4421),x4422)+E(x4421,f76(x4422,x4423))
% 2.09/2.17 [455]P6(f33(x4552,x4553,x4551),x4553)+~P6(f33(x4552,x4553,x4551),x4551)+~P6(f33(x4552,x4553,x4551),x4552)+E(x4551,f75(x4552,x4553))
% 2.09/2.17 [392]~P5(x3922)+~P6(x3921,x3923)+~P6(x3921,f4(x3922))+P6(x3921,f4(f71(x3922,x3923)))
% 2.09/2.17 [417]P2(f32(x4172,x4173,x4171),f67(x4172))+E(x4171,f3(x4172,x4173))+~P2(x4171,f67(f67(x4172)))+~P2(x4173,f67(f67(x4172)))
% 2.09/2.17 [453]~P5(x4532)+~P6(f34(x4532,x4531),x4531)+E(x4531,f70(x4532))+~P6(f80(f80(x4533,f34(x4532,x4531)),f80(x4533,x4533)),x4532)
% 2.09/2.17 [460]~P5(x4602)+~P6(x4601,x4603)+~E(x4603,f4(x4602))+P6(f80(f80(x4601,f28(x4602,x4603,x4601)),f80(x4601,x4601)),x4602)
% 2.09/2.17 [464]~P6(f26(x4642,x4643,x4641),x4641)+~P6(f26(x4642,x4643,x4641),x4643)+~P6(f26(x4642,x4643,x4641),x4642)+E(x4641,f75(x4642,f75(x4642,x4643)))
% 2.09/2.17 [467]~P5(x4672)+~P6(f29(x4672,x4671),x4671)+E(x4671,f4(x4672))+~P6(f80(f80(f29(x4672,x4671),x4673),f80(f29(x4672,x4671),f29(x4672,x4671))),x4672)
% 2.09/2.17 [473]~P5(x4731)+~P6(x4733,x4732)+~E(x4732,f70(x4731))+P6(f80(f80(f35(x4731,x4732,x4733),x4733),f80(f35(x4731,x4732,x4733),f35(x4731,x4732,x4733))),x4731)
% 2.09/2.17 [294]~P6(x2941,x2944)+E(x2941,x2942)+E(x2941,x2943)+~E(x2944,f80(x2943,x2942))
% 2.09/2.17 [325]~P6(x3251,x3254)+P6(x3251,x3252)+~P6(x3254,x3253)+~E(x3252,f74(x3253))
% 2.09/2.17 [339]~P6(x3391,x3394)+P6(x3391,x3392)+P6(x3391,x3393)+~E(x3392,f75(x3394,x3393))
% 2.09/2.17 [340]~P6(x3401,x3404)+P6(x3401,x3402)+P6(x3401,x3403)+~E(x3404,f76(x3403,x3402))
% 2.09/2.17 [385]~P6(x3851,x3854)+~P6(x3851,x3853)+P6(x3851,x3852)+~E(x3852,f75(x3853,f75(x3853,x3854)))
% 2.09/2.17 [416]~P5(x4163)+E(x4161,x4162)+~E(x4163,f59(x4164))+~P6(f80(f80(x4161,x4162),f80(x4161,x4161)),x4163)
% 2.09/2.17 [424]~P5(x4243)+P6(x4241,x4242)+~E(x4242,f70(x4243))+~P6(f80(f80(x4244,x4241),f80(x4244,x4244)),x4243)
% 2.09/2.17 [425]~P5(x4253)+P6(x4251,x4252)+~E(x4252,f4(x4253))+~P6(f80(f80(x4251,x4254),f80(x4251,x4251)),x4253)
% 2.09/2.17 [426]~P5(x4263)+P6(x4261,x4262)+~E(x4263,f59(x4262))+~P6(f80(f80(x4261,x4264),f80(x4261,x4261)),x4263)
% 2.09/2.17 [451]~P5(x4514)+~P6(x4511,x4513)+~P6(f80(f80(x4511,x4512),f80(x4511,x4511)),x4514)+P6(f80(f80(x4511,x4512),f80(x4511,x4511)),f69(f59(x4513),x4514))
% 2.09/2.17 [469]~P5(x4691)+~E(f19(x4692,x4691),f27(x4692,x4691))+~P6(f19(x4692,x4691),x4692)+E(x4691,f59(x4692))+~P6(f80(f80(f19(x4692,x4691),f27(x4692,x4691)),f80(f19(x4692,x4691),f19(x4692,x4691))),x4691)
% 2.09/2.17 [471]~P5(x4712)+~P5(x4711)+E(x4711,x4712)+P6(f80(f80(f13(x4711,x4712),f14(x4711,x4712)),f80(f13(x4711,x4712),f13(x4711,x4712))),x4712)+P6(f80(f80(f13(x4711,x4712),f14(x4711,x4712)),f80(f13(x4711,x4712),f13(x4711,x4712))),x4711)
% 2.09/2.17 [472]~P5(x4721)+~P5(x4722)+E(x4721,f72(x4722))+P6(f80(f80(f37(x4722,x4721),f38(x4722,x4721)),f80(f37(x4722,x4721),f37(x4722,x4721))),x4721)+P6(f80(f80(f38(x4722,x4721),f37(x4722,x4721)),f80(f38(x4722,x4721),f38(x4722,x4721))),x4722)
% 2.09/2.17 [474]~P5(x4742)+~P5(x4741)+E(x4741,x4742)+~P6(f80(f80(f13(x4741,x4742),f14(x4741,x4742)),f80(f13(x4741,x4742),f13(x4741,x4742))),x4742)+~P6(f80(f80(f13(x4741,x4742),f14(x4741,x4742)),f80(f13(x4741,x4742),f13(x4741,x4742))),x4741)
% 2.09/2.17 [475]~P5(x4751)+~P5(x4752)+E(x4751,f72(x4752))+~P6(f80(f80(f37(x4752,x4751),f38(x4752,x4751)),f80(f37(x4752,x4751),f37(x4752,x4751))),x4751)+~P6(f80(f80(f38(x4752,x4751),f37(x4752,x4751)),f80(f38(x4752,x4751),f38(x4752,x4751))),x4752)
% 2.09/2.17 [378]~P6(x3783,x3781)+P6(f65(x3781,x3782),x3782)+E(x3781,a1)+E(x3782,f77(x3781))+P6(f65(x3781,x3782),x3783)
% 2.09/2.17 [380]~P2(x3802,x3801)+P6(x3802,x3803)+P6(x3802,f78(x3801,x3803))+~P2(x3803,f67(x3801))+E(x3801,a1)
% 2.09/2.17 [454]P6(f32(x4542,x4543,x4541),x4541)+E(x4541,f3(x4542,x4543))+P6(f78(x4542,f32(x4542,x4543,x4541)),x4543)+~P2(x4541,f67(f67(x4542)))+~P2(x4543,f67(f67(x4542)))
% 2.09/2.17 [466]~P6(f32(x4662,x4663,x4661),x4661)+E(x4661,f3(x4662,x4663))+~P2(x4661,f67(f67(x4662)))+~P2(x4663,f67(f67(x4662)))+~P6(f78(x4662,f32(x4662,x4663,x4661)),x4663)
% 2.09/2.17 [476]~P5(x4761)+~P5(x4762)+P6(f39(x4762,x4763,x4761),x4763)+E(x4761,f71(x4762,x4763))+P6(f80(f80(f39(x4762,x4763,x4761),f50(x4762,x4763,x4761)),f80(f39(x4762,x4763,x4761),f39(x4762,x4763,x4761))),x4761)
% 2.09/2.17 [477]~P5(x4771)+~P5(x4772)+E(x4771,f71(x4772,x4773))+P6(f80(f80(f39(x4772,x4773,x4771),f50(x4772,x4773,x4771)),f80(f39(x4772,x4773,x4771),f39(x4772,x4773,x4771))),x4771)+P6(f80(f80(f39(x4772,x4773,x4771),f50(x4772,x4773,x4771)),f80(f39(x4772,x4773,x4771),f39(x4772,x4773,x4771))),x4772)
% 2.09/2.17 [331]~P6(x3313,x3311)+~P6(x3312,x3314)+P6(x3312,x3313)+E(x3311,a1)+~E(x3314,f77(x3311))
% 2.09/2.17 [405]~E(x4051,x4052)+~P5(x4053)+~P6(x4051,x4054)+~E(x4053,f59(x4054))+P6(f80(f80(x4051,x4052),f80(x4051,x4051)),x4053)
% 2.09/2.17 [443]~P5(x4433)+~P5(x4434)+~E(x4433,f72(x4434))+~P6(f80(f80(x4432,x4431),f80(x4432,x4432)),x4434)+P6(f80(f80(x4431,x4432),f80(x4431,x4431)),x4433)
% 2.09/2.17 [444]~P5(x4443)+~P5(x4444)+~E(x4444,f72(x4443))+~P6(f80(f80(x4442,x4441),f80(x4442,x4442)),x4444)+P6(f80(f80(x4441,x4442),f80(x4441,x4441)),x4443)
% 2.09/2.17 [430]~P5(x4304)+~P5(x4303)+P6(x4301,x4302)+~E(x4303,f71(x4304,x4302))+~P6(f80(f80(x4301,x4305),f80(x4301,x4301)),x4303)
% 2.09/2.17 [448]~P5(x4484)+~P5(x4483)+~E(x4484,f71(x4483,x4485))+~P6(f80(f80(x4481,x4482),f80(x4481,x4481)),x4484)+P6(f80(f80(x4481,x4482),f80(x4481,x4481)),x4483)
% 2.09/2.17 [452]~P6(x4525,x4523)+~P6(x4524,x4522)+~P6(f15(x4522,x4523,x4521),x4521)+E(x4521,f2(x4522,x4523))+~E(f15(x4522,x4523,x4521),f80(f80(x4524,x4525),f80(x4524,x4524)))
% 2.09/2.17 [406]~P6(x4066,x4064)+~P6(x4065,x4063)+P6(x4061,x4062)+~E(x4062,f2(x4063,x4064))+~E(x4061,f80(f80(x4065,x4066),f80(x4065,x4065)))
% 2.09/2.17 [478]~P5(x4781)+~P5(x4783)+~P5(x4782)+E(x4781,f69(x4782,x4783))+P6(f80(f80(f41(x4782,x4783,x4781),f42(x4782,x4783,x4781)),f80(f41(x4782,x4783,x4781),f41(x4782,x4783,x4781))),x4781)+P6(f80(f80(f41(x4782,x4783,x4781),f43(x4782,x4783,x4781)),f80(f41(x4782,x4783,x4781),f41(x4782,x4783,x4781))),x4782)
% 2.09/2.17 [479]~P5(x4791)+~P5(x4793)+~P5(x4792)+E(x4791,f69(x4792,x4793))+P6(f80(f80(f41(x4792,x4793,x4791),f42(x4792,x4793,x4791)),f80(f41(x4792,x4793,x4791),f41(x4792,x4793,x4791))),x4791)+P6(f80(f80(f43(x4792,x4793,x4791),f42(x4792,x4793,x4791)),f80(f43(x4792,x4793,x4791),f43(x4792,x4793,x4791))),x4793)
% 2.09/2.17 [481]~P5(x4811)+~P5(x4812)+~P6(f39(x4812,x4813,x4811),x4813)+E(x4811,f71(x4812,x4813))+~P6(f80(f80(f39(x4812,x4813,x4811),f50(x4812,x4813,x4811)),f80(f39(x4812,x4813,x4811),f39(x4812,x4813,x4811))),x4811)+~P6(f80(f80(f39(x4812,x4813,x4811),f50(x4812,x4813,x4811)),f80(f39(x4812,x4813,x4811),f39(x4812,x4813,x4811))),x4812)
% 2.09/2.17 [414]~P6(x4142,x4144)+~P2(x4142,f67(x4141))+P6(f78(x4141,x4142),x4143)+~E(x4144,f3(x4141,x4143))+~P2(x4143,f67(f67(x4141)))+~P2(x4144,f67(f67(x4141)))
% 2.09/2.17 [415]P6(x4151,x4152)+~P2(x4151,f67(x4153))+~P6(f78(x4153,x4151),x4154)+~E(x4152,f3(x4153,x4154))+~P2(x4152,f67(f67(x4153)))+~P2(x4154,f67(f67(x4153)))
% 2.09/2.17 [449]~P5(x4493)+~P5(x4494)+~P6(x4491,x4495)+~E(x4493,f71(x4494,x4495))+~P6(f80(f80(x4491,x4492),f80(x4491,x4491)),x4494)+P6(f80(f80(x4491,x4492),f80(x4491,x4491)),x4493)
% 2.09/2.17 [483]~P5(x4834)+~P5(x4833)+~P5(x4832)+~E(x4834,f69(x4832,x4833))+~P6(f80(f80(x4831,x4835),f80(x4831,x4831)),x4834)+P6(f80(f80(x4831,f40(x4832,x4833,x4834,x4831,x4835)),f80(x4831,x4831)),x4832)
% 2.09/2.17 [484]~P5(x4843)+~P5(x4842)+~P5(x4841)+~E(x4843,f69(x4841,x4842))+~P6(f80(f80(x4844,x4845),f80(x4844,x4844)),x4843)+P6(f80(f80(f40(x4841,x4842,x4843,x4844,x4845),x4845),f80(f40(x4841,x4842,x4843,x4844,x4845),f40(x4841,x4842,x4843,x4844,x4845))),x4842)
% 2.09/2.17 [482]~P5(x4821)+~P5(x4823)+~P5(x4822)+E(x4821,f69(x4822,x4823))+~P6(f80(f80(x4824,f42(x4822,x4823,x4821)),f80(x4824,x4824)),x4823)+~P6(f80(f80(f41(x4822,x4823,x4821),x4824),f80(f41(x4822,x4823,x4821),f41(x4822,x4823,x4821))),x4822)+~P6(f80(f80(f41(x4822,x4823,x4821),f42(x4822,x4823,x4821)),f80(f41(x4822,x4823,x4821),f41(x4822,x4823,x4821))),x4821)
% 2.09/2.17 [465]~P5(x4653)+~P5(x4655)+~P5(x4654)+~E(x4653,f69(x4654,x4655))+~P6(f80(f80(x4651,x4656),f80(x4651,x4651)),x4654)+P6(f80(f80(x4651,x4652),f80(x4651,x4651)),x4653)+~P6(f80(f80(x4656,x4652),f80(x4656,x4656)),x4655)
% 2.09/2.17 %EqnAxiom
% 2.09/2.17 [1]E(x11,x11)
% 2.09/2.17 [2]E(x22,x21)+~E(x21,x22)
% 2.09/2.17 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.09/2.17 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 2.09/2.17 [5]~E(x51,x52)+E(f70(x51),f70(x52))
% 2.09/2.17 [6]~E(x61,x62)+E(f49(x61),f49(x62))
% 2.09/2.17 [7]~E(x71,x72)+E(f59(x71),f59(x72))
% 2.09/2.17 [8]~E(x81,x82)+E(f17(x81,x83,x84,x85),f17(x82,x83,x84,x85))
% 2.09/2.17 [9]~E(x91,x92)+E(f17(x93,x91,x94,x95),f17(x93,x92,x94,x95))
% 2.09/2.17 [10]~E(x101,x102)+E(f17(x103,x104,x101,x105),f17(x103,x104,x102,x105))
% 2.09/2.17 [11]~E(x111,x112)+E(f17(x113,x114,x115,x111),f17(x113,x114,x115,x112))
% 2.09/2.17 [12]~E(x121,x122)+E(f80(x121,x123),f80(x122,x123))
% 2.09/2.17 [13]~E(x131,x132)+E(f80(x133,x131),f80(x133,x132))
% 2.09/2.17 [14]~E(x141,x142)+E(f67(x141),f67(x142))
% 2.09/2.17 [15]~E(x151,x152)+E(f74(x151),f74(x152))
% 2.09/2.17 [16]~E(x161,x162)+E(f69(x161,x163),f69(x162,x163))
% 2.09/2.17 [17]~E(x171,x172)+E(f69(x173,x171),f69(x173,x172))
% 2.09/2.17 [18]~E(x181,x182)+E(f41(x181,x183,x184),f41(x182,x183,x184))
% 2.09/2.17 [19]~E(x191,x192)+E(f41(x193,x191,x194),f41(x193,x192,x194))
% 2.09/2.17 [20]~E(x201,x202)+E(f41(x203,x204,x201),f41(x203,x204,x202))
% 2.09/2.17 [21]~E(x211,x212)+E(f75(x211,x213),f75(x212,x213))
% 2.09/2.17 [22]~E(x221,x222)+E(f75(x223,x221),f75(x223,x222))
% 2.09/2.17 [23]~E(x231,x232)+E(f76(x231,x233),f76(x232,x233))
% 2.09/2.17 [24]~E(x241,x242)+E(f76(x243,x241),f76(x243,x242))
% 2.09/2.17 [25]~E(x251,x252)+E(f43(x251,x253,x254),f43(x252,x253,x254))
% 2.09/2.17 [26]~E(x261,x262)+E(f43(x263,x261,x264),f43(x263,x262,x264))
% 2.09/2.17 [27]~E(x271,x272)+E(f43(x273,x274,x271),f43(x273,x274,x272))
% 2.09/2.17 [28]~E(x281,x282)+E(f12(x281,x283,x284),f12(x282,x283,x284))
% 2.09/2.17 [29]~E(x291,x292)+E(f12(x293,x291,x294),f12(x293,x292,x294))
% 2.09/2.17 [30]~E(x301,x302)+E(f12(x303,x304,x301),f12(x303,x304,x302))
% 2.09/2.17 [31]~E(x311,x312)+E(f72(x311),f72(x312))
% 2.09/2.17 [32]~E(x321,x322)+E(f79(x321,x323,x324),f79(x322,x323,x324))
% 2.09/2.17 [33]~E(x331,x332)+E(f79(x333,x331,x334),f79(x333,x332,x334))
% 2.09/2.17 [34]~E(x341,x342)+E(f79(x343,x344,x341),f79(x343,x344,x342))
% 2.09/2.17 [35]~E(x351,x352)+E(f51(x351),f51(x352))
% 2.09/2.17 [36]~E(x361,x362)+E(f60(x361),f60(x362))
% 2.09/2.17 [37]~E(x371,x372)+E(f68(x371,x373),f68(x372,x373))
% 2.09/2.17 [38]~E(x381,x382)+E(f68(x383,x381),f68(x383,x382))
% 2.09/2.17 [39]~E(x391,x392)+E(f6(x391),f6(x392))
% 2.09/2.17 [40]~E(x401,x402)+E(f18(x401,x403,x404,x405),f18(x402,x403,x404,x405))
% 2.09/2.17 [41]~E(x411,x412)+E(f18(x413,x411,x414,x415),f18(x413,x412,x414,x415))
% 2.09/2.17 [42]~E(x421,x422)+E(f18(x423,x424,x421,x425),f18(x423,x424,x422,x425))
% 2.09/2.17 [43]~E(x431,x432)+E(f18(x433,x434,x435,x431),f18(x433,x434,x435,x432))
% 2.09/2.17 [44]~E(x441,x442)+E(f16(x441,x443,x444),f16(x442,x443,x444))
% 2.09/2.17 [45]~E(x451,x452)+E(f16(x453,x451,x454),f16(x453,x452,x454))
% 2.09/2.17 [46]~E(x461,x462)+E(f16(x463,x464,x461),f16(x463,x464,x462))
% 2.09/2.17 [47]~E(x471,x472)+E(f71(x471,x473),f71(x472,x473))
% 2.09/2.17 [48]~E(x481,x482)+E(f71(x483,x481),f71(x483,x482))
% 2.09/2.17 [49]~E(x491,x492)+E(f65(x491,x493),f65(x492,x493))
% 2.09/2.17 [50]~E(x501,x502)+E(f65(x503,x501),f65(x503,x502))
% 2.09/2.17 [51]~E(x511,x512)+E(f3(x511,x513),f3(x512,x513))
% 2.09/2.17 [52]~E(x521,x522)+E(f3(x523,x521),f3(x523,x522))
% 2.09/2.17 [53]~E(x531,x532)+E(f81(x531,x533),f81(x532,x533))
% 2.09/2.17 [54]~E(x541,x542)+E(f81(x543,x541),f81(x543,x542))
% 2.09/2.17 [55]~E(x551,x552)+E(f9(x551,x553),f9(x552,x553))
% 2.09/2.17 [56]~E(x561,x562)+E(f9(x563,x561),f9(x563,x562))
% 2.09/2.17 [57]~E(x571,x572)+E(f2(x571,x573),f2(x572,x573))
% 2.09/2.17 [58]~E(x581,x582)+E(f2(x583,x581),f2(x583,x582))
% 2.09/2.17 [59]~E(x591,x592)+E(f24(x591,x593),f24(x592,x593))
% 2.09/2.17 [60]~E(x601,x602)+E(f24(x603,x601),f24(x603,x602))
% 2.09/2.17 [61]~E(x611,x612)+E(f42(x611,x613,x614),f42(x612,x613,x614))
% 2.09/2.17 [62]~E(x621,x622)+E(f42(x623,x621,x624),f42(x623,x622,x624))
% 2.09/2.17 [63]~E(x631,x632)+E(f42(x633,x634,x631),f42(x633,x634,x632))
% 2.09/2.17 [64]~E(x641,x642)+E(f27(x641,x643),f27(x642,x643))
% 2.09/2.17 [65]~E(x651,x652)+E(f27(x653,x651),f27(x653,x652))
% 2.09/2.17 [66]~E(x661,x662)+E(f78(x661,x663),f78(x662,x663))
% 2.09/2.17 [67]~E(x671,x672)+E(f78(x673,x671),f78(x673,x672))
% 2.09/2.17 [68]~E(x681,x682)+E(f15(x681,x683,x684),f15(x682,x683,x684))
% 2.09/2.17 [69]~E(x691,x692)+E(f15(x693,x691,x694),f15(x693,x692,x694))
% 2.09/2.17 [70]~E(x701,x702)+E(f15(x703,x704,x701),f15(x703,x704,x702))
% 2.09/2.17 [71]~E(x711,x712)+E(f33(x711,x713,x714),f33(x712,x713,x714))
% 2.09/2.17 [72]~E(x721,x722)+E(f33(x723,x721,x724),f33(x723,x722,x724))
% 2.09/2.17 [73]~E(x731,x732)+E(f33(x733,x734,x731),f33(x733,x734,x732))
% 2.09/2.17 [74]~E(x741,x742)+E(f28(x741,x743,x744),f28(x742,x743,x744))
% 2.09/2.17 [75]~E(x751,x752)+E(f28(x753,x751,x754),f28(x753,x752,x754))
% 2.09/2.17 [76]~E(x761,x762)+E(f28(x763,x764,x761),f28(x763,x764,x762))
% 2.09/2.17 [77]~E(x771,x772)+E(f73(x771),f73(x772))
% 2.09/2.17 [78]~E(x781,x782)+E(f30(x781,x783),f30(x782,x783))
% 2.09/2.17 [79]~E(x791,x792)+E(f30(x793,x791),f30(x793,x792))
% 2.09/2.17 [80]~E(x801,x802)+E(f20(x801,x803,x804),f20(x802,x803,x804))
% 2.09/2.17 [81]~E(x811,x812)+E(f20(x813,x811,x814),f20(x813,x812,x814))
% 2.09/2.17 [82]~E(x821,x822)+E(f20(x823,x824,x821),f20(x823,x824,x822))
% 2.09/2.17 [83]~E(x831,x832)+E(f58(x831),f58(x832))
% 2.09/2.17 [84]~E(x841,x842)+E(f61(x841,x843),f61(x842,x843))
% 2.09/2.17 [85]~E(x851,x852)+E(f61(x853,x851),f61(x853,x852))
% 2.09/2.17 [86]~E(x861,x862)+E(f21(x861,x863,x864),f21(x862,x863,x864))
% 2.09/2.17 [87]~E(x871,x872)+E(f21(x873,x871,x874),f21(x873,x872,x874))
% 2.09/2.17 [88]~E(x881,x882)+E(f21(x883,x884,x881),f21(x883,x884,x882))
% 2.09/2.17 [89]~E(x891,x892)+E(f19(x891,x893),f19(x892,x893))
% 2.09/2.17 [90]~E(x901,x902)+E(f19(x903,x901),f19(x903,x902))
% 2.09/2.17 [91]~E(x911,x912)+E(f13(x911,x913),f13(x912,x913))
% 2.09/2.17 [92]~E(x921,x922)+E(f13(x923,x921),f13(x923,x922))
% 2.09/2.17 [93]~E(x931,x932)+E(f40(x931,x933,x934,x935,x936),f40(x932,x933,x934,x935,x936))
% 2.09/2.17 [94]~E(x941,x942)+E(f40(x943,x941,x944,x945,x946),f40(x943,x942,x944,x945,x946))
% 2.09/2.17 [95]~E(x951,x952)+E(f40(x953,x954,x951,x955,x956),f40(x953,x954,x952,x955,x956))
% 2.09/2.17 [96]~E(x961,x962)+E(f40(x963,x964,x965,x961,x966),f40(x963,x964,x965,x962,x966))
% 2.09/2.17 [97]~E(x971,x972)+E(f40(x973,x974,x975,x976,x971),f40(x973,x974,x975,x976,x972))
% 2.09/2.17 [98]~E(x981,x982)+E(f29(x981,x983),f29(x982,x983))
% 2.09/2.17 [99]~E(x991,x992)+E(f29(x993,x991),f29(x993,x992))
% 2.09/2.17 [100]~E(x1001,x1002)+E(f50(x1001,x1003,x1004),f50(x1002,x1003,x1004))
% 2.09/2.17 [101]~E(x1011,x1012)+E(f50(x1013,x1011,x1014),f50(x1013,x1012,x1014))
% 2.09/2.17 [102]~E(x1021,x1022)+E(f50(x1023,x1024,x1021),f50(x1023,x1024,x1022))
% 2.09/2.17 [103]~E(x1031,x1032)+E(f22(x1031,x1033),f22(x1032,x1033))
% 2.09/2.17 [104]~E(x1041,x1042)+E(f22(x1043,x1041),f22(x1043,x1042))
% 2.09/2.17 [105]~E(x1051,x1052)+E(f63(x1051,x1053),f63(x1052,x1053))
% 2.09/2.17 [106]~E(x1061,x1062)+E(f63(x1063,x1061),f63(x1063,x1062))
% 2.09/2.17 [107]~E(x1071,x1072)+E(f38(x1071,x1073),f38(x1072,x1073))
% 2.09/2.17 [108]~E(x1081,x1082)+E(f38(x1083,x1081),f38(x1083,x1082))
% 2.09/2.17 [109]~E(x1091,x1092)+E(f23(x1091,x1093),f23(x1092,x1093))
% 2.09/2.17 [110]~E(x1101,x1102)+E(f23(x1103,x1101),f23(x1103,x1102))
% 2.09/2.17 [111]~E(x1111,x1112)+E(f14(x1111,x1113),f14(x1112,x1113))
% 2.09/2.17 [112]~E(x1121,x1122)+E(f14(x1123,x1121),f14(x1123,x1122))
% 2.09/2.17 [113]~E(x1131,x1132)+E(f77(x1131),f77(x1132))
% 2.09/2.17 [114]~E(x1141,x1142)+E(f39(x1141,x1143,x1144),f39(x1142,x1143,x1144))
% 2.09/2.17 [115]~E(x1151,x1152)+E(f39(x1153,x1151,x1154),f39(x1153,x1152,x1154))
% 2.09/2.17 [116]~E(x1161,x1162)+E(f39(x1163,x1164,x1161),f39(x1163,x1164,x1162))
% 2.09/2.17 [117]~E(x1171,x1172)+E(f26(x1171,x1173,x1174),f26(x1172,x1173,x1174))
% 2.09/2.17 [118]~E(x1181,x1182)+E(f26(x1183,x1181,x1184),f26(x1183,x1182,x1184))
% 2.09/2.17 [119]~E(x1191,x1192)+E(f26(x1193,x1194,x1191),f26(x1193,x1194,x1192))
% 2.09/2.17 [120]~E(x1201,x1202)+E(f37(x1201,x1203),f37(x1202,x1203))
% 2.09/2.17 [121]~E(x1211,x1212)+E(f37(x1213,x1211),f37(x1213,x1212))
% 2.09/2.17 [122]~E(x1221,x1222)+E(f44(x1221,x1223),f44(x1222,x1223))
% 2.09/2.17 [123]~E(x1231,x1232)+E(f44(x1233,x1231),f44(x1233,x1232))
% 2.09/2.17 [124]~E(x1241,x1242)+E(f8(x1241,x1243),f8(x1242,x1243))
% 2.09/2.17 [125]~E(x1251,x1252)+E(f8(x1253,x1251),f8(x1253,x1252))
% 2.09/2.17 [126]~E(x1261,x1262)+E(f55(x1261,x1263),f55(x1262,x1263))
% 2.09/2.17 [127]~E(x1271,x1272)+E(f55(x1273,x1271),f55(x1273,x1272))
% 2.09/2.17 [128]~E(x1281,x1282)+E(f34(x1281,x1283),f34(x1282,x1283))
% 2.09/2.17 [129]~E(x1291,x1292)+E(f34(x1293,x1291),f34(x1293,x1292))
% 2.09/2.17 [130]~E(x1301,x1302)+E(f54(x1301,x1303),f54(x1302,x1303))
% 2.09/2.17 [131]~E(x1311,x1312)+E(f54(x1313,x1311),f54(x1313,x1312))
% 2.09/2.17 [132]~E(x1321,x1322)+E(f32(x1321,x1323,x1324),f32(x1322,x1323,x1324))
% 2.09/2.17 [133]~E(x1331,x1332)+E(f32(x1333,x1331,x1334),f32(x1333,x1332,x1334))
% 2.09/2.17 [134]~E(x1341,x1342)+E(f32(x1343,x1344,x1341),f32(x1343,x1344,x1342))
% 2.09/2.17 [135]~E(x1351,x1352)+E(f66(x1351,x1353,x1354),f66(x1352,x1353,x1354))
% 2.09/2.17 [136]~E(x1361,x1362)+E(f66(x1363,x1361,x1364),f66(x1363,x1362,x1364))
% 2.09/2.17 [137]~E(x1371,x1372)+E(f66(x1373,x1374,x1371),f66(x1373,x1374,x1372))
% 2.09/2.17 [138]~E(x1381,x1382)+E(f56(x1381,x1383),f56(x1382,x1383))
% 2.09/2.17 [139]~E(x1391,x1392)+E(f56(x1393,x1391),f56(x1393,x1392))
% 2.09/2.17 [140]~E(x1401,x1402)+E(f11(x1401,x1403),f11(x1402,x1403))
% 2.09/2.17 [141]~E(x1411,x1412)+E(f11(x1413,x1411),f11(x1413,x1412))
% 2.09/2.17 [142]~E(x1421,x1422)+E(f57(x1421),f57(x1422))
% 2.09/2.17 [143]~E(x1431,x1432)+E(f35(x1431,x1433,x1434),f35(x1432,x1433,x1434))
% 2.09/2.17 [144]~E(x1441,x1442)+E(f35(x1443,x1441,x1444),f35(x1443,x1442,x1444))
% 2.09/2.17 [145]~E(x1451,x1452)+E(f35(x1453,x1454,x1451),f35(x1453,x1454,x1452))
% 2.09/2.17 [146]~E(x1461,x1462)+E(f10(x1461,x1463),f10(x1462,x1463))
% 2.09/2.17 [147]~E(x1471,x1472)+E(f10(x1473,x1471),f10(x1473,x1472))
% 2.09/2.17 [148]~E(x1481,x1482)+E(f36(x1481,x1483),f36(x1482,x1483))
% 2.09/2.17 [149]~E(x1491,x1492)+E(f36(x1493,x1491),f36(x1493,x1492))
% 2.09/2.17 [150]~E(x1501,x1502)+E(f31(x1501,x1503),f31(x1502,x1503))
% 2.09/2.17 [151]~E(x1511,x1512)+E(f31(x1513,x1511),f31(x1513,x1512))
% 2.09/2.17 [152]~E(x1521,x1522)+E(f46(x1521),f46(x1522))
% 2.09/2.17 [153]~E(x1531,x1532)+E(f25(x1531,x1533,x1534),f25(x1532,x1533,x1534))
% 2.09/2.17 [154]~E(x1541,x1542)+E(f25(x1543,x1541,x1544),f25(x1543,x1542,x1544))
% 2.09/2.17 [155]~E(x1551,x1552)+E(f25(x1553,x1554,x1551),f25(x1553,x1554,x1552))
% 2.09/2.17 [156]~E(x1561,x1562)+E(f62(x1561),f62(x1562))
% 2.09/2.17 [157]~E(x1571,x1572)+E(f7(x1571),f7(x1572))
% 2.09/2.17 [158]~E(x1581,x1582)+E(f64(x1581,x1583),f64(x1582,x1583))
% 2.09/2.17 [159]~E(x1591,x1592)+E(f64(x1593,x1591),f64(x1593,x1592))
% 2.09/2.17 [160]~P1(x1601)+P1(x1602)+~E(x1601,x1602)
% 2.09/2.17 [161]P6(x1612,x1613)+~E(x1611,x1612)+~P6(x1611,x1613)
% 2.09/2.17 [162]P6(x1623,x1622)+~E(x1621,x1622)+~P6(x1623,x1621)
% 2.09/2.17 [163]~P5(x1631)+P5(x1632)+~E(x1631,x1632)
% 2.09/2.17 [164]P8(x1642,x1643)+~E(x1641,x1642)+~P8(x1641,x1643)
% 2.09/2.17 [165]P8(x1653,x1652)+~E(x1651,x1652)+~P8(x1653,x1651)
% 2.09/2.17 [166]P3(x1662,x1663)+~E(x1661,x1662)+~P3(x1661,x1663)
% 2.09/2.17 [167]P3(x1673,x1672)+~E(x1671,x1672)+~P3(x1673,x1671)
% 2.09/2.17 [168]P2(x1682,x1683)+~E(x1681,x1682)+~P2(x1681,x1683)
% 2.09/2.17 [169]P2(x1693,x1692)+~E(x1691,x1692)+~P2(x1693,x1691)
% 2.09/2.17 [170]P7(x1702,x1703)+~E(x1701,x1702)+~P7(x1701,x1703)
% 2.09/2.17 [171]P7(x1713,x1712)+~E(x1711,x1712)+~P7(x1713,x1711)
% 2.09/2.17 [172]P4(x1722,x1723)+~E(x1721,x1722)+~P4(x1721,x1723)
% 2.09/2.17 [173]P4(x1733,x1732)+~E(x1731,x1732)+~P4(x1733,x1731)
% 2.09/2.17
% 2.09/2.17 %-------------------------------------------
% 2.09/2.18 cnf(485,plain,
% 2.09/2.18 (E(a1,f4(a1))),
% 2.09/2.18 inference(scs_inference,[],[174,2])).
% 2.09/2.18 cnf(486,plain,
% 2.09/2.18 (~P6(f51(x4861),x4861)),
% 2.09/2.18 inference(scs_inference,[],[174,196,2,282])).
% 2.09/2.18 cnf(490,plain,
% 2.09/2.18 (~P6(x4901,a1)),
% 2.09/2.18 inference(scs_inference,[],[177,174,218,196,2,282,255,248])).
% 2.09/2.18 cnf(501,plain,
% 2.09/2.18 (P8(x5011,x5011)),
% 2.09/2.18 inference(rename_variables,[],[194])).
% 2.09/2.18 cnf(504,plain,
% 2.09/2.18 (P8(x5041,x5041)),
% 2.09/2.18 inference(rename_variables,[],[194])).
% 2.09/2.18 cnf(507,plain,
% 2.09/2.18 (P2(f6(x5071),x5071)),
% 2.09/2.18 inference(rename_variables,[],[199])).
% 2.09/2.18 cnf(511,plain,
% 2.09/2.18 (P6(f7(f80(x5111,x5111)),f80(x5111,x5111))),
% 2.09/2.18 inference(scs_inference,[],[194,501,177,174,218,196,199,214,2,282,255,248,244,243,240,233,344,343,289,242,241])).
% 2.09/2.18 cnf(521,plain,
% 2.09/2.18 (P2(x5211,f67(x5211))),
% 2.09/2.18 inference(rename_variables,[],[198])).
% 2.09/2.18 cnf(524,plain,
% 2.09/2.18 (P2(x5241,f67(x5241))),
% 2.09/2.18 inference(rename_variables,[],[198])).
% 2.09/2.18 cnf(527,plain,
% 2.09/2.18 (P2(x5271,f67(x5271))),
% 2.09/2.18 inference(rename_variables,[],[198])).
% 2.09/2.18 cnf(530,plain,
% 2.09/2.18 (P2(x5301,f67(x5301))),
% 2.09/2.18 inference(rename_variables,[],[198])).
% 2.09/2.18 cnf(533,plain,
% 2.09/2.18 (P2(f6(x5331),x5331)),
% 2.09/2.18 inference(rename_variables,[],[199])).
% 2.09/2.18 cnf(535,plain,
% 2.09/2.18 (P2(x5351,f67(x5351))),
% 2.09/2.18 inference(rename_variables,[],[198])).
% 2.09/2.18 cnf(537,plain,
% 2.09/2.18 (P3(f4(a1),x5371)),
% 2.09/2.18 inference(scs_inference,[],[194,501,177,174,218,196,198,521,524,527,530,199,507,192,214,203,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166])).
% 2.09/2.18 cnf(539,plain,
% 2.09/2.18 (P8(x5391,f76(x5391,x5392))),
% 2.09/2.18 inference(rename_variables,[],[204])).
% 2.09/2.18 cnf(541,plain,
% 2.09/2.18 (P8(x5411,x5411)),
% 2.09/2.18 inference(rename_variables,[],[194])).
% 2.09/2.18 cnf(543,plain,
% 2.09/2.18 (P6(x5431,f51(x5431))),
% 2.09/2.18 inference(rename_variables,[],[196])).
% 2.09/2.18 cnf(545,plain,
% 2.09/2.18 (P6(x5451,f51(x5451))),
% 2.09/2.18 inference(rename_variables,[],[196])).
% 2.09/2.18 cnf(547,plain,
% 2.09/2.18 (E(f76(x5471,x5471),x5471)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(548,plain,
% 2.09/2.18 (~E(f80(x5481,x5481),f4(a1))),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,177,211,174,218,195,196,543,198,521,524,527,530,199,507,204,192,214,203,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3])).
% 2.09/2.18 cnf(549,plain,
% 2.09/2.18 (P3(f75(a1,x5491),x5492)),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,177,211,174,218,195,196,543,198,521,524,527,530,199,507,204,205,192,214,203,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306])).
% 2.09/2.18 cnf(553,plain,
% 2.09/2.18 (P8(a1,x5531)),
% 2.09/2.18 inference(rename_variables,[],[190])).
% 2.09/2.18 cnf(557,plain,
% 2.09/2.18 (~P2(a47,a1)),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,190,177,211,174,218,195,196,543,198,521,524,527,530,199,507,533,204,205,192,214,203,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250])).
% 2.09/2.18 cnf(562,plain,
% 2.09/2.18 (E(f75(x5621,f75(x5621,x5622)),f75(x5622,f75(x5622,x5621)))),
% 2.09/2.18 inference(rename_variables,[],[209])).
% 2.09/2.18 cnf(565,plain,
% 2.09/2.18 (P2(f49(x5651),f67(x5651))),
% 2.09/2.18 inference(rename_variables,[],[200])).
% 2.09/2.18 cnf(568,plain,
% 2.09/2.18 (P2(f49(x5681),f67(x5681))),
% 2.09/2.18 inference(rename_variables,[],[200])).
% 2.09/2.18 cnf(571,plain,
% 2.09/2.18 (E(f76(x5711,x5711),x5711)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(573,plain,
% 2.09/2.18 (~P6(x5731,f49(a1))),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,190,177,211,174,218,195,547,196,543,545,198,521,524,527,530,199,507,533,204,205,192,214,200,565,568,203,209,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312])).
% 2.09/2.18 cnf(574,plain,
% 2.09/2.18 (P2(f49(x5741),f67(x5741))),
% 2.09/2.18 inference(rename_variables,[],[200])).
% 2.09/2.18 cnf(577,plain,
% 2.09/2.18 (E(f76(x5771,x5771),x5771)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(580,plain,
% 2.09/2.18 (E(f76(x5801,x5801),x5801)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(583,plain,
% 2.09/2.18 (E(f76(x5831,x5831),x5831)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(586,plain,
% 2.09/2.18 (E(f76(x5861,x5861),x5861)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(589,plain,
% 2.09/2.18 (E(f76(x5891,x5891),x5891)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(592,plain,
% 2.09/2.18 (E(f76(x5921,x5921),x5921)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(595,plain,
% 2.09/2.18 (E(f76(x5951,x5951),x5951)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(600,plain,
% 2.09/2.18 (E(f76(x6001,a1),x6001)),
% 2.09/2.18 inference(rename_variables,[],[191])).
% 2.09/2.18 cnf(606,plain,
% 2.09/2.18 (~P6(x6061,f78(f51(x6061),f51(x6061)))),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,541,190,177,211,174,218,195,547,571,577,580,583,586,589,592,196,543,545,198,521,524,527,530,535,199,507,533,204,205,191,192,214,185,200,565,568,188,203,209,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384])).
% 2.09/2.18 cnf(608,plain,
% 2.09/2.18 (~P6(x6081,f76(f74(f49(a1)),f74(f49(a1))))),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,541,190,177,211,174,218,195,547,571,577,580,583,586,589,592,595,196,543,545,198,521,524,527,530,535,199,507,533,204,205,191,192,214,185,200,565,568,188,203,209,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399])).
% 2.09/2.18 cnf(609,plain,
% 2.09/2.18 (E(f76(x6091,x6091),x6091)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(615,plain,
% 2.09/2.18 (E(f75(x6151,f75(x6151,x6152)),f75(x6152,f75(x6152,x6151)))),
% 2.09/2.18 inference(rename_variables,[],[209])).
% 2.09/2.18 cnf(616,plain,
% 2.09/2.18 (P6(x6161,f51(x6161))),
% 2.09/2.18 inference(rename_variables,[],[196])).
% 2.09/2.18 cnf(621,plain,
% 2.09/2.18 (P6(x6211,f75(f51(x6211),f75(f51(x6211),f51(x6211))))),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,541,190,177,211,174,218,195,547,571,577,580,583,586,589,592,595,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385])).
% 2.09/2.18 cnf(624,plain,
% 2.09/2.18 (P6(f80(f80(x6241,x6241),f80(x6241,x6241)),f76(f2(f51(x6241),f51(x6241)),f2(f51(x6241),f51(x6241))))),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,541,190,177,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406])).
% 2.09/2.18 cnf(626,plain,
% 2.09/2.18 (E(f76(x6261,x6261),x6261)),
% 2.09/2.18 inference(rename_variables,[],[195])).
% 2.09/2.18 cnf(630,plain,
% 2.09/2.18 (P3(x6301,f75(a1,x6302))),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,541,190,553,177,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257])).
% 2.09/2.18 cnf(636,plain,
% 2.09/2.18 (E(a5,a1)),
% 2.09/2.18 inference(scs_inference,[],[194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220])).
% 2.09/2.18 cnf(644,plain,
% 2.09/2.18 (P8(f71(a48,x6441),a48)),
% 2.09/2.18 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290])).
% 2.09/2.18 cnf(646,plain,
% 2.09/2.18 (P2(a1,f67(x6461))),
% 2.09/2.18 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275])).
% 2.09/2.18 cnf(650,plain,
% 2.09/2.18 (P5(f71(a48,x6501))),
% 2.09/2.18 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258])).
% 2.09/2.18 cnf(767,plain,
% 2.09/2.18 (E(f2(x7671,f4(a1)),f2(x7671,a1))),
% 2.09/2.18 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58])).
% 2.09/2.18 cnf(810,plain,
% 2.09/2.18 (E(f74(f4(a1)),f74(a1))),
% 2.09/2.18 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 2.09/2.18 cnf(818,plain,
% 2.09/2.18 (E(f59(f4(a1)),f59(a1))),
% 2.09/2.18 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 2.09/2.18 cnf(823,plain,
% 2.09/2.18 (~E(f80(f80(x8231,f80(x8232,x8232)),f80(x8231,x8231)),f80(f80(x8233,a1),f80(x8233,x8233)))),
% 2.09/2.18 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409])).
% 2.09/2.19 cnf(831,plain,
% 2.09/2.19 (~P3(f80(x8311,x8311),f51(x8311))),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358])).
% 2.09/2.19 cnf(865,plain,
% 2.09/2.19 (~E(f75(f51(x8651),f80(x8651,x8651)),f51(x8651))),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359])).
% 2.09/2.19 cnf(867,plain,
% 2.09/2.19 (~E(f75(f80(x8671,x8671),f75(f80(x8671,x8671),f51(x8671))),a1)),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342])).
% 2.09/2.19 cnf(875,plain,
% 2.09/2.19 (E(f75(f80(a1,a1),f75(f80(a1,a1),f4(a1))),a1)),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,539,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342,321,319,318,313])).
% 2.09/2.19 cnf(877,plain,
% 2.09/2.19 (P2(f76(f74(f49(a1)),f74(f49(a1))),f67(x8771))),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,539,205,191,600,192,214,185,200,565,568,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342,321,319,318,313,308])).
% 2.09/2.19 cnf(893,plain,
% 2.09/2.19 (~P8(f80(f80(x8931,x8931),f80(x8931,x8931)),f80(a1,a1))),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,539,205,191,600,192,214,185,200,565,568,574,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342,321,319,318,313,308,303,301,288,259,434,408,377,376])).
% 2.09/2.19 cnf(897,plain,
% 2.09/2.19 (P2(f78(f67(x8971),f49(f67(x8971))),f67(f67(x8971)))),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,198,521,524,527,530,535,199,507,533,204,539,205,191,600,192,214,185,200,565,568,574,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342,321,319,318,313,308,303,301,288,259,434,408,377,376,365,349])).
% 2.09/2.19 cnf(899,plain,
% 2.09/2.19 (P6(f63(x8991,x8991),f60(x8991))),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,197,198,521,524,527,530,535,199,507,533,204,539,205,191,600,192,214,185,200,565,568,574,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342,321,319,318,313,308,303,301,288,259,434,408,377,376,365,349,348])).
% 2.09/2.19 cnf(903,plain,
% 2.09/2.19 (P6(f56(f80(x9031,x9031),f51(x9031)),f75(f80(x9031,x9031),f75(f80(x9031,x9031),f51(x9031))))),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,196,543,545,616,197,198,521,524,527,530,535,199,507,533,204,539,205,191,600,192,214,185,200,565,568,574,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342,321,319,318,313,308,303,301,288,259,434,408,377,376,365,349,348,334,390])).
% 2.09/2.19 cnf(912,plain,
% 2.09/2.19 (~P6(x9121,f75(a1,x9122))),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,215,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,626,196,543,545,616,197,198,521,524,527,530,535,199,507,533,204,539,205,191,600,192,214,185,200,565,568,574,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342,321,319,318,313,308,303,301,288,259,434,408,377,376,365,349,348,334,390,307,410,171,170,163,324])).
% 2.09/2.19 cnf(914,plain,
% 2.09/2.19 (~P8(f76(f70(f71(a48,a53)),x9141),f70(a48))),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,215,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,626,196,543,545,616,197,198,521,524,527,530,535,199,507,533,204,539,205,191,600,192,214,185,200,565,568,574,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342,321,319,318,313,308,303,301,288,259,434,408,377,376,365,349,348,334,390,307,410,171,170,163,324,305])).
% 2.09/2.19 cnf(918,plain,
% 2.09/2.19 (P7(f71(a48,a53),a48)),
% 2.09/2.19 inference(scs_inference,[],[183,194,501,504,541,215,190,553,177,178,179,211,174,218,195,547,571,577,580,583,586,589,592,595,609,626,196,543,545,616,197,198,521,524,527,530,535,199,507,533,204,539,205,191,600,192,214,185,200,565,568,574,201,188,203,209,562,615,2,282,255,248,244,243,240,233,344,343,289,242,241,5,300,262,254,372,371,330,329,169,168,167,166,165,164,162,161,160,3,306,291,266,250,226,373,328,327,326,312,311,310,309,286,285,269,268,223,293,225,384,399,340,339,294,385,406,284,257,256,222,220,272,296,295,290,275,274,258,237,234,231,230,229,228,227,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,4,432,409,362,361,360,358,347,333,315,299,298,297,264,261,260,252,249,239,238,287,401,369,359,342,321,319,318,313,308,303,301,288,259,434,408,377,376,365,349,348,334,390,307,410,171,170,163,324,305,304,263])).
% 2.09/2.19 cnf(1024,plain,
% 2.09/2.19 (~E(f75(f80(x10241,x10241),f75(f80(x10241,x10241),f51(x10241))),a1)),
% 2.09/2.19 inference(rename_variables,[],[867])).
% 2.09/2.19 cnf(1025,plain,
% 2.09/2.19 (P8(f75(x10251,x10252),x10251)),
% 2.09/2.19 inference(rename_variables,[],[205])).
% 2.09/2.19 cnf(1027,plain,
% 2.09/2.19 (~P6(x10271,f75(f2(x10272,a1),f75(f2(x10272,a1),f2(x10272,a1))))),
% 2.09/2.19 inference(scs_inference,[],[206,205,490,867,351,457])).
% 2.09/2.19 cnf(1028,plain,
% 2.09/2.19 (~P6(x10281,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1029,plain,
% 2.09/2.19 (E(f75(x10291,f75(x10291,x10291)),x10291)),
% 2.09/2.19 inference(rename_variables,[],[206])).
% 2.09/2.19 cnf(1032,plain,
% 2.09/2.19 (~P6(x10321,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1035,plain,
% 2.09/2.19 (~P6(x10351,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1038,plain,
% 2.09/2.19 (~P6(x10381,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1039,plain,
% 2.09/2.19 (~P6(x10391,f76(f74(f49(a1)),f74(f49(a1))))),
% 2.09/2.19 inference(rename_variables,[],[608])).
% 2.09/2.19 cnf(1042,plain,
% 2.09/2.19 (~P6(x10421,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1043,plain,
% 2.09/2.19 (~P6(x10431,f76(f74(f49(a1)),f74(f49(a1))))),
% 2.09/2.19 inference(rename_variables,[],[608])).
% 2.09/2.19 cnf(1046,plain,
% 2.09/2.19 (P2(f6(x10461),x10461)),
% 2.09/2.19 inference(rename_variables,[],[199])).
% 2.09/2.19 cnf(1048,plain,
% 2.09/2.19 (P2(x10481,f67(x10481))),
% 2.09/2.19 inference(rename_variables,[],[198])).
% 2.09/2.19 cnf(1050,plain,
% 2.09/2.19 (~E(f51(x10501),f4(a1))),
% 2.09/2.19 inference(scs_inference,[],[206,180,198,199,205,196,214,608,1039,630,490,1028,1032,1035,1038,1042,867,351,457,352,450,436,435,386,460])).
% 2.09/2.19 cnf(1051,plain,
% 2.09/2.19 (~P6(x10511,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1054,plain,
% 2.09/2.19 (~P6(x10541,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1055,plain,
% 2.09/2.19 (~P6(x10551,f76(f74(f49(a1)),f74(f49(a1))))),
% 2.09/2.19 inference(rename_variables,[],[608])).
% 2.09/2.19 cnf(1060,plain,
% 2.09/2.19 (~P6(x10601,f78(f51(x10601),f51(x10601)))),
% 2.09/2.19 inference(rename_variables,[],[606])).
% 2.09/2.19 cnf(1061,plain,
% 2.09/2.19 (P6(x10611,f51(x10611))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1065,plain,
% 2.09/2.19 (~P6(f60(x10651),x10651)),
% 2.09/2.19 inference(scs_inference,[],[206,180,198,199,205,196,197,214,606,877,608,1039,1043,630,490,1028,1032,1035,1038,1042,1051,646,867,918,351,457,352,450,436,435,386,460,454,325,283,282])).
% 2.09/2.19 cnf(1070,plain,
% 2.09/2.19 (~P6(x10701,f49(a1))),
% 2.09/2.19 inference(rename_variables,[],[573])).
% 2.09/2.19 cnf(1072,plain,
% 2.09/2.19 (P3(x10721,f49(a1))),
% 2.09/2.19 inference(scs_inference,[],[206,180,198,199,205,196,1061,197,214,606,877,608,1039,1043,630,573,1070,490,1028,1032,1035,1038,1042,1051,646,867,918,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299])).
% 2.09/2.19 cnf(1077,plain,
% 2.09/2.19 (P3(f2(x10771,a1),f2(x10771,a1))),
% 2.09/2.19 inference(scs_inference,[],[206,180,198,199,205,196,1061,197,214,621,606,877,608,1039,1043,630,573,1070,490,1028,1032,1035,1038,1042,1051,646,867,918,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390])).
% 2.09/2.19 cnf(1080,plain,
% 2.09/2.19 (~P6(x10801,f78(f51(x10801),f51(x10801)))),
% 2.09/2.19 inference(rename_variables,[],[606])).
% 2.09/2.19 cnf(1083,plain,
% 2.09/2.19 (~P6(f51(x10831),x10831)),
% 2.09/2.19 inference(rename_variables,[],[486])).
% 2.09/2.19 cnf(1086,plain,
% 2.09/2.19 (P6(x10861,f51(x10861))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1088,plain,
% 2.09/2.19 (~E(f51(x10881),f75(x10882,f51(x10881)))),
% 2.09/2.19 inference(scs_inference,[],[212,206,180,198,199,205,196,1061,1086,197,214,621,606,1060,486,877,608,1039,1043,630,573,1070,490,1028,1032,1035,1038,1042,1051,646,867,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326])).
% 2.09/2.19 cnf(1091,plain,
% 2.09/2.19 (P6(x10911,f51(x10911))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1094,plain,
% 2.09/2.19 (P6(x10941,f51(x10941))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1096,plain,
% 2.09/2.19 (~E(f78(f51(x10961),f51(x10961)),f67(x10961))),
% 2.09/2.19 inference(scs_inference,[],[212,206,194,180,198,199,205,196,1061,1086,1091,197,218,214,621,606,1060,1080,486,877,608,1039,1043,630,573,1070,490,1028,1032,1035,1038,1042,1051,646,867,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285])).
% 2.09/2.19 cnf(1097,plain,
% 2.09/2.19 (P8(x10971,x10971)),
% 2.09/2.19 inference(rename_variables,[],[194])).
% 2.09/2.19 cnf(1100,plain,
% 2.09/2.19 (~P6(x11001,f78(f51(x11001),f51(x11001)))),
% 2.09/2.19 inference(rename_variables,[],[606])).
% 2.09/2.19 cnf(1103,plain,
% 2.09/2.19 (~P6(x11031,f78(f51(x11031),f51(x11031)))),
% 2.09/2.19 inference(rename_variables,[],[606])).
% 2.09/2.19 cnf(1106,plain,
% 2.09/2.19 (~P6(f51(x11061),x11061)),
% 2.09/2.19 inference(rename_variables,[],[486])).
% 2.09/2.19 cnf(1109,plain,
% 2.09/2.19 (~P6(f51(x11091),x11091)),
% 2.09/2.19 inference(rename_variables,[],[486])).
% 2.09/2.19 cnf(1121,plain,
% 2.09/2.19 (~P6(f80(f80(x11211,f51(f70(a48))),f80(x11211,x11211)),a48)),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,194,180,198,199,205,196,1061,1086,1091,1094,197,218,214,621,606,1060,1080,1100,486,1083,1106,1109,877,608,1039,1043,630,573,1070,490,1028,1032,1035,1038,1042,1051,646,867,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421])).
% 2.09/2.19 cnf(1122,plain,
% 2.09/2.19 (~P6(f51(x11221),x11221)),
% 2.09/2.19 inference(rename_variables,[],[486])).
% 2.09/2.19 cnf(1126,plain,
% 2.09/2.19 (~P6(x11261,f74(f4(a1)))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,194,180,198,199,205,196,1061,1086,1091,1094,197,218,214,621,606,1060,1080,1100,486,1083,1106,1109,877,608,1039,1043,630,573,1070,810,490,1028,1032,1035,1038,1042,1051,1054,646,867,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399])).
% 2.09/2.19 cnf(1127,plain,
% 2.09/2.19 (~P6(x11271,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1134,plain,
% 2.09/2.19 (P5(f59(x11341))),
% 2.09/2.19 inference(rename_variables,[],[185])).
% 2.09/2.19 cnf(1137,plain,
% 2.09/2.19 (P6(x11371,f51(x11371))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1149,plain,
% 2.09/2.19 (~E(f75(f80(x11491,x11491),f51(x11491)),f80(x11491,x11491))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,194,180,198,1048,199,205,185,196,1061,1086,1091,1094,197,218,214,621,606,1060,1080,1100,831,486,1083,1106,1109,877,608,1039,1043,630,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262])).
% 2.09/2.19 cnf(1154,plain,
% 2.09/2.19 (P8(f75(x11541,x11542),x11541)),
% 2.09/2.19 inference(rename_variables,[],[205])).
% 2.09/2.19 cnf(1159,plain,
% 2.09/2.19 (P6(x11591,f51(x11591))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1161,plain,
% 2.09/2.19 (~P3(f51(x11611),f80(x11611,x11611))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,194,180,198,1048,199,205,1025,185,196,1061,1086,1091,1094,1137,197,218,214,621,865,606,1060,1080,1100,831,486,1083,1106,1109,877,608,1039,1043,630,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261])).
% 2.09/2.19 cnf(1164,plain,
% 2.09/2.19 (P6(x11641,f60(x11641))),
% 2.09/2.19 inference(rename_variables,[],[197])).
% 2.09/2.19 cnf(1166,plain,
% 2.09/2.19 (~E(a1,f80(x11661,x11661))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,194,180,198,1048,199,205,1025,185,196,1061,1086,1091,1094,1137,1159,197,218,214,621,865,606,1060,1080,1100,831,486,1083,1106,1109,877,608,1039,1043,630,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2])).
% 2.09/2.19 cnf(1169,plain,
% 2.09/2.19 (~E(f51(x11691),a1)),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,194,180,198,1048,199,205,1025,185,196,1061,1086,1091,1094,1137,1159,197,218,214,621,865,606,1060,1080,1100,831,486,1083,1106,1109,877,608,1039,1043,630,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243])).
% 2.09/2.19 cnf(1177,plain,
% 2.09/2.19 (P8(f75(a1,x11771),x11772)),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,194,180,198,1048,199,205,1025,185,196,1061,1086,1091,1094,1137,1159,197,218,214,621,865,606,1060,1080,1100,1103,831,486,1083,1106,1109,877,823,608,1039,1043,630,912,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298])).
% 2.09/2.19 cnf(1178,plain,
% 2.09/2.19 (~P6(x11781,f75(a1,x11782))),
% 2.09/2.19 inference(rename_variables,[],[912])).
% 2.09/2.19 cnf(1180,plain,
% 2.09/2.19 (~P8(f80(x11801,x11801),f75(f80(x11801,x11801),f51(x11801)))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,194,180,198,1048,199,205,1025,185,196,1061,1086,1091,1094,1137,1159,197,218,214,621,865,606,1060,1080,1100,1103,831,486,1083,1106,1109,877,823,608,1039,1043,630,912,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,1024,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298,252])).
% 2.09/2.19 cnf(1183,plain,
% 2.09/2.19 (~P7(x11831,x11831)),
% 2.09/2.19 inference(rename_variables,[],[215])).
% 2.09/2.19 cnf(1185,plain,
% 2.09/2.19 (~P2(f75(a47,f75(a47,a47)),a1)),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,1029,194,215,180,198,1048,199,205,1025,185,196,1061,1086,1091,1094,1137,1159,197,218,214,621,865,606,1060,1080,1100,1103,831,486,1083,1106,1109,877,823,608,1039,1043,630,912,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,1024,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298,252,171,169,168])).
% 2.09/2.19 cnf(1191,plain,
% 2.09/2.19 (~E(f51(x11911),f75(f78(f51(x11911),f51(x11911)),x11912))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,1029,194,215,190,180,198,1048,199,1046,205,1025,185,196,1061,1086,1091,1094,1137,1159,197,218,214,621,865,606,1060,1080,1100,1103,831,486,1083,1106,1109,877,823,608,1039,1043,630,912,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,1024,918,557,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298,252,171,169,168,160,263,250,311])).
% 2.09/2.19 cnf(1192,plain,
% 2.09/2.19 (P6(x11921,f51(x11921))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1195,plain,
% 2.09/2.19 (P6(x11951,f51(x11951))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1198,plain,
% 2.09/2.19 (E(f4(f59(x11981)),x11981)),
% 2.09/2.19 inference(rename_variables,[],[186])).
% 2.09/2.19 cnf(1213,plain,
% 2.09/2.19 (~P6(f51(x12131),x12131)),
% 2.09/2.19 inference(rename_variables,[],[486])).
% 2.09/2.19 cnf(1217,plain,
% 2.09/2.19 (P6(x12171,f63(x12171,x12171))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,1029,186,194,1097,215,190,180,198,1048,199,1046,205,1025,185,196,1061,1086,1091,1094,1137,1159,1192,197,1164,218,214,621,865,606,1060,1080,1100,1103,831,486,1083,1106,1109,1122,877,823,608,1039,1043,630,912,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,1024,918,557,636,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298,252,171,169,168,160,263,250,311,309,223,355,281,277,394,367,366,395,381,368])).
% 2.09/2.19 cnf(1226,plain,
% 2.09/2.19 (P6(x12261,f51(x12261))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1230,plain,
% 2.09/2.19 (~P6(f80(x12301,x12301),f80(a1,a1))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,184,206,1029,186,194,1097,215,190,180,198,1048,199,1046,205,1025,185,1134,196,1061,1086,1091,1094,1137,1159,1192,1195,197,1164,218,214,621,865,606,1060,1080,1100,1103,831,486,1083,1106,1109,1122,893,877,823,608,1039,1043,630,912,1178,573,1070,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,1024,918,557,636,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298,252,171,169,168,160,263,250,311,309,223,355,281,277,394,367,366,395,381,368,440,429,385,220,315])).
% 2.09/2.19 cnf(1238,plain,
% 2.09/2.19 (~P6(x12381,f78(f51(x12381),f51(x12381)))),
% 2.09/2.19 inference(rename_variables,[],[606])).
% 2.09/2.19 cnf(1245,plain,
% 2.09/2.19 (P6(x12451,f51(x12451))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1248,plain,
% 2.09/2.19 (P6(x12481,f51(x12481))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1251,plain,
% 2.09/2.19 (P6(x12511,f60(x12511))),
% 2.09/2.19 inference(rename_variables,[],[197])).
% 2.09/2.19 cnf(1258,plain,
% 2.09/2.19 (~P6(x12581,f76(f78(f51(x12581),f51(x12581)),f78(f51(x12581),f51(x12581))))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,193,184,202,206,1029,186,1198,187,194,1097,215,1183,190,180,195,198,1048,199,1046,205,1025,185,1134,196,1061,1086,1091,1094,1137,1159,1192,1195,1226,1245,197,1164,218,214,511,621,865,606,1060,1080,1100,1103,1238,831,486,1083,1106,1109,1122,893,877,823,608,1039,1043,549,630,912,1178,573,1070,914,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,1024,918,557,636,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298,252,171,169,168,160,263,250,311,309,223,355,281,277,394,367,366,395,381,368,440,429,385,220,315,170,166,247,327,312,354,340,339,294,165,306,5,164,162])).
% 2.09/2.19 cnf(1259,plain,
% 2.09/2.19 (E(f76(x12591,x12591),x12591)),
% 2.09/2.19 inference(rename_variables,[],[195])).
% 2.09/2.19 cnf(1261,plain,
% 2.09/2.19 (~P6(x12611,f78(f51(x12611),f51(x12611)))),
% 2.09/2.19 inference(rename_variables,[],[606])).
% 2.09/2.19 cnf(1264,plain,
% 2.09/2.19 (~P3(f80(x12641,x12641),f76(f51(x12641),f51(x12641)))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,193,184,202,206,1029,186,1198,187,194,1097,215,1183,190,180,195,1259,198,1048,199,1046,205,1025,185,1134,196,1061,1086,1091,1094,1137,1159,1192,1195,1226,1245,197,1164,218,214,511,621,865,606,1060,1080,1100,1103,1238,831,486,1083,1106,1109,1122,893,877,823,608,1039,1043,549,630,912,1178,573,1070,914,810,818,490,1028,1032,1035,1038,1042,1051,1054,646,867,1024,918,557,636,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298,252,171,169,168,160,263,250,311,309,223,355,281,277,394,367,366,395,381,368,440,429,385,220,315,170,166,247,327,312,354,340,339,294,165,306,5,164,162,161,3,167])).
% 2.09/2.19 cnf(1270,plain,
% 2.09/2.19 (~P6(x12701,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1273,plain,
% 2.09/2.19 (~P6(x12731,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1274,plain,
% 2.09/2.19 (~P6(x12741,f76(f74(f49(a1)),f74(f49(a1))))),
% 2.09/2.19 inference(rename_variables,[],[608])).
% 2.09/2.19 cnf(1277,plain,
% 2.09/2.19 (~P6(x12771,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1280,plain,
% 2.09/2.19 (~P6(x12801,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1283,plain,
% 2.09/2.19 (~P6(x12831,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1284,plain,
% 2.09/2.19 (P6(x12841,f51(x12841))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1296,plain,
% 2.09/2.19 (~P6(x12961,f78(f60(x12961),f60(x12961)))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,193,184,202,206,1029,186,1198,187,194,1097,215,1183,190,180,195,1259,198,1048,199,1046,204,205,1025,185,1134,196,1061,1086,1091,1094,1137,1159,1192,1195,1226,1245,1248,197,1164,1251,218,214,511,621,865,606,1060,1080,1100,1103,1238,1261,831,486,1083,1106,1109,1122,893,877,823,608,1039,1043,1055,1274,549,630,912,1178,548,573,1070,914,810,818,490,1028,1032,1035,1038,1042,1051,1054,1127,1270,1273,1277,1280,1283,646,867,1024,918,557,636,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298,252,171,169,168,160,263,250,311,309,223,355,281,277,394,367,366,395,381,368,440,429,385,220,315,170,166,247,327,312,354,340,339,294,165,306,5,164,162,161,3,167,353,357,332,463,462,418,378,477,274,308,388,384])).
% 2.09/2.19 cnf(1297,plain,
% 2.09/2.19 (P2(x12971,f67(x12971))),
% 2.09/2.19 inference(rename_variables,[],[198])).
% 2.09/2.19 cnf(1312,plain,
% 2.09/2.19 (~E(f51(f51(x13121)),f75(x13122,f75(x13122,x13121)))),
% 2.09/2.19 inference(scs_inference,[],[183,181,212,175,193,184,202,206,1029,186,1198,187,194,1097,215,1183,190,180,195,1259,198,1048,1297,199,1046,204,205,1025,1154,185,1134,196,1061,1086,1091,1094,1137,1159,1192,1195,1226,1245,1248,1284,197,1164,1251,218,214,511,621,865,606,1060,1080,1100,1103,1238,1261,831,486,1083,1106,1109,1122,1213,893,877,823,608,1039,1043,1055,1274,549,630,912,1178,548,573,1070,914,810,818,490,1028,1032,1035,1038,1042,1051,1054,1127,1270,1273,1277,1280,1283,646,867,1024,918,557,636,351,457,352,450,436,435,386,460,454,325,283,282,248,241,299,401,390,304,266,328,326,310,286,285,269,268,338,337,302,280,279,278,276,421,370,399,407,391,416,473,284,233,289,275,300,262,254,291,221,293,261,324,2,256,243,344,343,12,298,252,171,169,168,160,263,250,311,309,223,355,281,277,394,367,366,395,381,368,440,429,385,220,315,170,166,247,327,312,354,340,339,294,165,306,5,164,162,161,3,167,353,357,332,463,462,418,378,477,274,308,388,384,341,224,257,297,376,305,373])).
% 2.09/2.19 cnf(1356,plain,
% 2.09/2.19 (~P6(f60(x13561),x13561)),
% 2.09/2.19 inference(rename_variables,[],[1065])).
% 2.09/2.19 cnf(1359,plain,
% 2.09/2.19 (E(f76(x13591,a1),x13591)),
% 2.09/2.19 inference(rename_variables,[],[191])).
% 2.09/2.19 cnf(1360,plain,
% 2.09/2.19 (~P6(x13601,f75(f2(x13602,a1),f75(f2(x13602,a1),f2(x13602,a1))))),
% 2.09/2.19 inference(rename_variables,[],[1027])).
% 2.09/2.19 cnf(1361,plain,
% 2.09/2.19 (~P6(f60(x13611),x13611)),
% 2.09/2.19 inference(rename_variables,[],[1065])).
% 2.09/2.19 cnf(1364,plain,
% 2.09/2.19 (~P6(x13641,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1365,plain,
% 2.09/2.19 (P6(x13651,f51(x13651))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1368,plain,
% 2.09/2.19 (~P6(x13681,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1370,plain,
% 2.09/2.19 (~P6(f60(x13701),x13701)),
% 2.09/2.19 inference(rename_variables,[],[1065])).
% 2.09/2.19 cnf(1376,plain,
% 2.09/2.19 (~P6(x13761,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1380,plain,
% 2.09/2.19 (~P6(x13801,f75(f2(x13802,a1),f75(f2(x13802,a1),f2(x13802,a1))))),
% 2.09/2.19 inference(rename_variables,[],[1027])).
% 2.09/2.19 cnf(1383,plain,
% 2.09/2.19 (~P6(x13831,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1389,plain,
% 2.09/2.19 (E(f76(x13891,a1),x13891)),
% 2.09/2.19 inference(rename_variables,[],[191])).
% 2.09/2.19 cnf(1394,plain,
% 2.09/2.19 (P2(f49(x13941),f67(x13941))),
% 2.09/2.19 inference(rename_variables,[],[200])).
% 2.09/2.19 cnf(1397,plain,
% 2.09/2.19 (P2(x13971,f67(x13971))),
% 2.09/2.19 inference(rename_variables,[],[198])).
% 2.09/2.19 cnf(1403,plain,
% 2.09/2.19 (E(f76(x14031,a1),x14031)),
% 2.09/2.19 inference(rename_variables,[],[191])).
% 2.09/2.19 cnf(1406,plain,
% 2.09/2.19 (~P6(x14061,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1409,plain,
% 2.09/2.19 (~P6(x14091,f74(f4(a1)))),
% 2.09/2.19 inference(rename_variables,[],[1126])).
% 2.09/2.19 cnf(1410,plain,
% 2.09/2.19 (~P6(x14101,f75(f2(x14102,a1),f75(f2(x14102,a1),f2(x14102,a1))))),
% 2.09/2.19 inference(rename_variables,[],[1027])).
% 2.09/2.19 cnf(1414,plain,
% 2.09/2.19 (~P6(x14141,f75(f2(x14142,a1),f75(f2(x14142,a1),f2(x14142,a1))))),
% 2.09/2.19 inference(rename_variables,[],[1027])).
% 2.09/2.19 cnf(1419,plain,
% 2.09/2.19 (~P6(x14191,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1420,plain,
% 2.09/2.19 (~P6(x14201,f75(f2(x14202,a1),f75(f2(x14202,a1),f2(x14202,a1))))),
% 2.09/2.19 inference(rename_variables,[],[1027])).
% 2.09/2.19 cnf(1423,plain,
% 2.09/2.19 (~P6(x14231,a1)),
% 2.09/2.19 inference(rename_variables,[],[490])).
% 2.09/2.19 cnf(1429,plain,
% 2.09/2.19 (~P6(x14291,f74(f4(a1)))),
% 2.09/2.19 inference(rename_variables,[],[1126])).
% 2.09/2.19 cnf(1434,plain,
% 2.09/2.19 (P2(f49(x14341),f67(x14341))),
% 2.09/2.19 inference(rename_variables,[],[200])).
% 2.09/2.19 cnf(1435,plain,
% 2.09/2.19 (P8(x14351,x14351)),
% 2.09/2.19 inference(rename_variables,[],[194])).
% 2.09/2.19 cnf(1448,plain,
% 2.09/2.19 (E(f76(x14481,a1),x14481)),
% 2.09/2.19 inference(rename_variables,[],[191])).
% 2.09/2.19 cnf(1451,plain,
% 2.09/2.19 (P8(x14511,f76(x14511,x14512))),
% 2.09/2.19 inference(rename_variables,[],[204])).
% 2.09/2.19 cnf(1454,plain,
% 2.09/2.19 (P8(x14541,f76(x14541,x14542))),
% 2.09/2.19 inference(rename_variables,[],[204])).
% 2.09/2.19 cnf(1465,plain,
% 2.09/2.19 (E(f76(x14651,a1),x14651)),
% 2.09/2.19 inference(rename_variables,[],[191])).
% 2.09/2.19 cnf(1471,plain,
% 2.09/2.19 (E(f76(x14711,a1),x14711)),
% 2.09/2.19 inference(rename_variables,[],[191])).
% 2.09/2.19 cnf(1496,plain,
% 2.09/2.19 (E(f76(x14961,a1),x14961)),
% 2.09/2.19 inference(rename_variables,[],[191])).
% 2.09/2.19 cnf(1502,plain,
% 2.09/2.19 (P6(x15021,f51(x15021))),
% 2.09/2.19 inference(rename_variables,[],[196])).
% 2.09/2.19 cnf(1520,plain,
% 2.09/2.19 ($false),
% 2.09/2.19 inference(scs_inference,[],[218,485,213,179,191,1359,1389,1403,1448,1465,1471,1496,200,1394,1434,206,209,194,1435,198,1397,204,1451,1454,205,185,196,1365,1502,180,197,177,214,624,903,1149,1180,1258,1264,897,1096,1161,1217,1296,1065,1356,1361,1370,1191,1312,1088,1230,1027,1360,1380,1410,1414,1420,1126,1409,1429,1177,767,1077,537,1050,1072,1166,1169,1121,875,1185,899,912,650,818,490,1364,1368,1376,1383,1406,1419,1423,646,644,183,426,397,405,380,351,332,435,462,450,325,274,266,328,310,268,457,352,357,386,463,459,418,300,401,396,241,299,257,256,248,243,344,343,252,308,373,286,285,269,429,284,282,289,275,298,262,254,390,247,293,368,339,233,220,291,326,261,294,354,317]),
% 2.09/2.19 ['proof']).
% 2.09/2.19 % SZS output end Proof
% 2.09/2.19 % Total time :1.450000s
%------------------------------------------------------------------------------