TSTP Solution File: TOP026+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n001.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 : Fri Sep 1 05:53:25 EDT 2023
% Result : Theorem 1.75s 1.79s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n001.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun Aug 27 00:01:31 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 1.69/1.76 %-------------------------------------------
% 1.69/1.76 % File :CSE---1.6
% 1.69/1.76 % Problem :theBenchmark
% 1.69/1.76 % Transform :cnf
% 1.69/1.76 % Format :tptp:raw
% 1.69/1.76 % Command :java -jar mcs_scs.jar %d %s
% 1.69/1.76
% 1.69/1.76 % Result :Theorem 1.140000s
% 1.69/1.76 % Output :CNFRefutation 1.140000s
% 1.69/1.76 %-------------------------------------------
% 1.69/1.77 %------------------------------------------------------------------------------
% 1.69/1.77 % File : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% 1.69/1.77 % Domain : Topology
% 1.69/1.77 % Problem : Maximal Kolmogorov Subspaces of a Topological Space T07
% 1.69/1.77 % Version : [Urb08] axioms : Especial.
% 1.69/1.77 % English :
% 1.69/1.77
% 1.69/1.77 % Refs : [Kar96] Karno (1996), Maximal Kolmogorov Subspaces of a Topolo
% 1.69/1.77 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 1.69/1.77 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 1.69/1.77 % Source : [Urb08]
% 1.69/1.77 % Names : t7_tsp_2 [Urb08]
% 1.69/1.77
% 1.69/1.77 % Status : Theorem
% 1.69/1.77 % Rating : 0.25 v8.1.0, 0.17 v7.5.0, 0.22 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.24 v6.1.0, 0.20 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.05 v5.1.0, 0.14 v5.0.0, 0.21 v4.1.0, 0.26 v4.0.1, 0.30 v4.0.0, 0.33 v3.7.0, 0.25 v3.5.0, 0.26 v3.4.0
% 1.69/1.77 % Syntax : Number of formulae : 78 ( 14 unt; 0 def)
% 1.69/1.77 % Number of atoms : 296 ( 10 equ)
% 1.69/1.77 % Maximal formula atoms : 15 ( 3 avg)
% 1.69/1.77 % Number of connectives : 239 ( 21 ~; 1 |; 131 &)
% 1.69/1.77 % ( 1 <=>; 85 =>; 0 <=; 0 <~>)
% 1.69/1.77 % Maximal formula depth : 15 ( 5 avg)
% 1.69/1.77 % Maximal term depth : 4 ( 1 avg)
% 1.69/1.77 % Number of predicates : 25 ( 23 usr; 1 prp; 0-2 aty)
% 1.69/1.77 % Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% 1.69/1.77 % Number of variables : 136 ( 121 !; 15 ?)
% 1.69/1.77 % SPC : FOF_THM_RFO_SEQ
% 1.69/1.77
% 1.69/1.77 % Comments : Normal version: includes the axioms (which may be theorems from
% 1.69/1.77 % other articles) and background that are possibly necessary.
% 1.69/1.77 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 1.69/1.77 % : The problem encoding is based on set theory.
% 1.69/1.77 %------------------------------------------------------------------------------
% 1.69/1.77 fof(t7_tsp_2,conjecture,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( ( ~ v3_struct_0(A)
% 1.69/1.77 & v2_pre_topc(A)
% 1.69/1.77 & l1_pre_topc(A) )
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.69/1.77 => ( v1_tsp_2(B,A)
% 1.69/1.77 => ! [C] :
% 1.69/1.77 ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
% 1.69/1.77 => k6_pre_topc(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) ) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(antisymmetry_r2_hidden,axiom,
% 1.69/1.77 ! [A,B] :
% 1.69/1.77 ( r2_hidden(A,B)
% 1.69/1.77 => ~ r2_hidden(B,A) ) ).
% 1.69/1.77
% 1.69/1.77 fof(dt_k1_xboole_0,axiom,
% 1.69/1.77 $true ).
% 1.69/1.77
% 1.69/1.77 fof(cc10_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v1_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,A)
% 1.69/1.77 => v1_xcmplx_0(B) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc11_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v2_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,A)
% 1.69/1.77 => ( v1_xcmplx_0(B)
% 1.69/1.77 & v1_xreal_0(B) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc12_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v3_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,A)
% 1.69/1.77 => ( v1_xcmplx_0(B)
% 1.69/1.77 & v1_xreal_0(B)
% 1.69/1.77 & v1_rat_1(B) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc13_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v4_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,A)
% 1.69/1.77 => ( v1_xcmplx_0(B)
% 1.69/1.77 & v1_xreal_0(B)
% 1.69/1.77 & v1_int_1(B)
% 1.69/1.77 & v1_rat_1(B) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc14_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v5_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,A)
% 1.69/1.77 => ( v1_xcmplx_0(B)
% 1.69/1.77 & v4_ordinal2(B)
% 1.69/1.77 & v1_xreal_0(B)
% 1.69/1.77 & v1_int_1(B)
% 1.69/1.77 & v1_rat_1(B) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc16_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v1_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.69/1.77 => v1_membered(B) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc17_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v2_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.69/1.77 => ( v1_membered(B)
% 1.69/1.77 & v2_membered(B) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc18_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v3_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.69/1.77 => ( v1_membered(B)
% 1.69/1.77 & v2_membered(B)
% 1.69/1.77 & v3_membered(B) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc19_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v4_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.69/1.77 => ( v1_membered(B)
% 1.69/1.77 & v2_membered(B)
% 1.69/1.77 & v3_membered(B)
% 1.69/1.77 & v4_membered(B) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc1_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v5_membered(A)
% 1.69/1.77 => v4_membered(A) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc20_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v5_membered(A)
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.69/1.77 => ( v1_membered(B)
% 1.69/1.77 & v2_membered(B)
% 1.69/1.77 & v3_membered(B)
% 1.69/1.77 & v4_membered(B)
% 1.69/1.77 & v5_membered(B) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc2_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v4_membered(A)
% 1.69/1.77 => v3_membered(A) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc3_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v3_membered(A)
% 1.69/1.77 => v2_membered(A) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc4_membered,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( v2_membered(A)
% 1.69/1.77 => v1_membered(A) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc4_tops_1,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( ( v2_pre_topc(A)
% 1.69/1.77 & l1_pre_topc(A) )
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.69/1.77 => ( v3_tops_1(B,A)
% 1.69/1.77 => v2_tops_1(B,A) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc5_tops_1,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( ( v2_pre_topc(A)
% 1.69/1.77 & l1_pre_topc(A) )
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.69/1.77 => ( ( v4_pre_topc(B,A)
% 1.69/1.77 & v2_tops_1(B,A) )
% 1.69/1.77 => ( v2_tops_1(B,A)
% 1.69/1.77 & v3_tops_1(B,A) ) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(cc6_tops_1,axiom,
% 1.69/1.77 ! [A] :
% 1.69/1.77 ( ( v2_pre_topc(A)
% 1.69/1.77 & l1_pre_topc(A) )
% 1.69/1.77 => ! [B] :
% 1.69/1.77 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.69/1.77 => ( ( v3_pre_topc(B,A)
% 1.69/1.77 & v3_tops_1(B,A) )
% 1.69/1.77 => ( v1_xboole_0(B)
% 1.69/1.77 & v3_pre_topc(B,A)
% 1.69/1.77 & v4_pre_topc(B,A)
% 1.69/1.77 & v1_membered(B)
% 1.69/1.77 & v2_membered(B)
% 1.69/1.77 & v3_membered(B)
% 1.69/1.77 & v4_membered(B)
% 1.69/1.77 & v5_membered(B)
% 1.69/1.77 & v2_tops_1(B,A)
% 1.69/1.77 & v3_tops_1(B,A) ) ) ) ) ).
% 1.69/1.77
% 1.69/1.77 fof(fc27_membered,axiom,
% 1.69/1.77 ! [A,B] :
% 1.69/1.77 ( v1_membered(A)
% 1.69/1.77 => v1_membered(k3_xboole_0(A,B)) ) ).
% 1.69/1.77
% 1.69/1.77 fof(fc28_membered,axiom,
% 1.69/1.78 ! [A,B] :
% 1.69/1.78 ( v1_membered(A)
% 1.69/1.78 => v1_membered(k3_xboole_0(B,A)) ) ).
% 1.69/1.78
% 1.69/1.78 fof(fc29_membered,axiom,
% 1.69/1.78 ! [A,B] :
% 1.69/1.78 ( v2_membered(A)
% 1.69/1.78 => ( v1_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v2_membered(k3_xboole_0(A,B)) ) ) ).
% 1.69/1.78
% 1.69/1.78 fof(fc30_membered,axiom,
% 1.69/1.78 ! [A,B] :
% 1.69/1.78 ( v2_membered(A)
% 1.69/1.78 => ( v1_membered(k3_xboole_0(B,A))
% 1.69/1.78 & v2_membered(k3_xboole_0(B,A)) ) ) ).
% 1.69/1.78
% 1.69/1.78 fof(fc31_membered,axiom,
% 1.69/1.78 ! [A,B] :
% 1.69/1.78 ( v3_membered(A)
% 1.69/1.78 => ( v1_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v2_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v3_membered(k3_xboole_0(A,B)) ) ) ).
% 1.69/1.78
% 1.69/1.78 fof(fc32_membered,axiom,
% 1.69/1.78 ! [A,B] :
% 1.69/1.78 ( v3_membered(A)
% 1.69/1.78 => ( v1_membered(k3_xboole_0(B,A))
% 1.69/1.78 & v2_membered(k3_xboole_0(B,A))
% 1.69/1.78 & v3_membered(k3_xboole_0(B,A)) ) ) ).
% 1.69/1.78
% 1.69/1.78 fof(fc33_membered,axiom,
% 1.69/1.78 ! [A,B] :
% 1.69/1.78 ( v4_membered(A)
% 1.69/1.78 => ( v1_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v2_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v3_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v4_membered(k3_xboole_0(A,B)) ) ) ).
% 1.69/1.78
% 1.69/1.78 fof(fc34_membered,axiom,
% 1.69/1.78 ! [A,B] :
% 1.69/1.78 ( v4_membered(A)
% 1.69/1.78 => ( v1_membered(k3_xboole_0(B,A))
% 1.69/1.78 & v2_membered(k3_xboole_0(B,A))
% 1.69/1.78 & v3_membered(k3_xboole_0(B,A))
% 1.69/1.78 & v4_membered(k3_xboole_0(B,A)) ) ) ).
% 1.69/1.78
% 1.69/1.78 fof(fc35_membered,axiom,
% 1.69/1.78 ! [A,B] :
% 1.69/1.78 ( v5_membered(A)
% 1.69/1.78 => ( v1_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v2_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v3_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v4_membered(k3_xboole_0(A,B))
% 1.69/1.78 & v5_membered(k3_xboole_0(A,B)) ) ) ).
% 1.69/1.78
% 1.69/1.78 fof(fc36_membered,axiom,
% 1.69/1.78 ! [A,B] :
% 1.69/1.78 ( v5_membered(A)
% 1.69/1.78 => ( v1_membered(k3_xboole_0(B,A))
% 1.69/1.78 & v2_membered(k3_xboole_0(B,A))
% 1.69/1.78 & v3_membered(k3_xboole_0(B,A))
% 1.69/1.78 & v4_membered(k3_xboole_0(B,A))
% 1.75/1.78 & v5_membered(k3_xboole_0(B,A)) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(fc6_membered,axiom,
% 1.75/1.78 ( v1_xboole_0(k1_xboole_0)
% 1.75/1.78 & v1_membered(k1_xboole_0)
% 1.75/1.78 & v2_membered(k1_xboole_0)
% 1.75/1.78 & v3_membered(k1_xboole_0)
% 1.75/1.78 & v4_membered(k1_xboole_0)
% 1.75/1.78 & v5_membered(k1_xboole_0) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc1_membered,axiom,
% 1.75/1.78 ? [A] :
% 1.75/1.78 ( ~ v1_xboole_0(A)
% 1.75/1.78 & v1_membered(A)
% 1.75/1.78 & v2_membered(A)
% 1.75/1.78 & v3_membered(A)
% 1.75/1.78 & v4_membered(A)
% 1.75/1.78 & v5_membered(A) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc1_tops_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ( v2_pre_topc(A)
% 1.75/1.78 & l1_pre_topc(A) )
% 1.75/1.78 => ? [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 & v3_pre_topc(B,A) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc2_tops_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ( v2_pre_topc(A)
% 1.75/1.78 & l1_pre_topc(A) )
% 1.75/1.78 => ? [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 & v3_pre_topc(B,A)
% 1.75/1.78 & v4_pre_topc(B,A) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc3_tops_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ( ~ v3_struct_0(A)
% 1.75/1.78 & v2_pre_topc(A)
% 1.75/1.78 & l1_pre_topc(A) )
% 1.75/1.78 => ? [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 & ~ v1_xboole_0(B)
% 1.75/1.78 & v3_pre_topc(B,A)
% 1.75/1.78 & v4_pre_topc(B,A) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc4_tops_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( l1_pre_topc(A)
% 1.75/1.78 => ? [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 & v1_xboole_0(B)
% 1.75/1.78 & v1_membered(B)
% 1.75/1.78 & v2_membered(B)
% 1.75/1.78 & v3_membered(B)
% 1.75/1.78 & v4_membered(B)
% 1.75/1.78 & v5_membered(B)
% 1.75/1.78 & v2_tops_1(B,A) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc5_tops_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ( v2_pre_topc(A)
% 1.75/1.78 & l1_pre_topc(A) )
% 1.75/1.78 => ? [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 & v1_xboole_0(B)
% 1.75/1.78 & v3_pre_topc(B,A)
% 1.75/1.78 & v4_pre_topc(B,A)
% 1.75/1.78 & v1_membered(B)
% 1.75/1.78 & v2_membered(B)
% 1.75/1.78 & v3_membered(B)
% 1.75/1.78 & v4_membered(B)
% 1.75/1.78 & v5_membered(B)
% 1.75/1.78 & v2_tops_1(B,A)
% 1.75/1.78 & v3_tops_1(B,A) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(t1_subset,axiom,
% 1.75/1.78 ! [A,B] :
% 1.75/1.78 ( r2_hidden(A,B)
% 1.75/1.78 => m1_subset_1(A,B) ) ).
% 1.75/1.78
% 1.75/1.78 fof(t2_boole,axiom,
% 1.75/1.78 ! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ).
% 1.75/1.78
% 1.75/1.78 fof(t4_subset,axiom,
% 1.75/1.78 ! [A,B,C] :
% 1.75/1.78 ( ( r2_hidden(A,B)
% 1.75/1.78 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 1.75/1.78 => m1_subset_1(A,C) ) ).
% 1.75/1.78
% 1.75/1.78 fof(t5_subset,axiom,
% 1.75/1.78 ! [A,B,C] :
% 1.75/1.78 ~ ( r2_hidden(A,B)
% 1.75/1.78 & m1_subset_1(B,k1_zfmisc_1(C))
% 1.75/1.78 & v1_xboole_0(C) ) ).
% 1.75/1.78
% 1.75/1.78 fof(commutativity_k3_xboole_0,axiom,
% 1.75/1.78 ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) ).
% 1.75/1.78
% 1.75/1.78 fof(idempotence_k3_xboole_0,axiom,
% 1.75/1.78 ! [A,B] : k3_xboole_0(A,A) = A ).
% 1.75/1.78
% 1.75/1.78 fof(reflexivity_r1_tarski,axiom,
% 1.75/1.78 ! [A,B] : r1_tarski(A,A) ).
% 1.75/1.78
% 1.75/1.78 fof(existence_l1_struct_0,axiom,
% 1.75/1.78 ? [A] : l1_struct_0(A) ).
% 1.75/1.78
% 1.75/1.78 fof(dt_k3_xboole_0,axiom,
% 1.75/1.78 $true ).
% 1.75/1.78
% 1.75/1.78 fof(dt_l1_struct_0,axiom,
% 1.75/1.78 $true ).
% 1.75/1.78
% 1.75/1.78 fof(cc15_membered,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( v1_xboole_0(A)
% 1.75/1.78 => ( v1_membered(A)
% 1.75/1.78 & v2_membered(A)
% 1.75/1.78 & v3_membered(A)
% 1.75/1.78 & v4_membered(A)
% 1.75/1.78 & v5_membered(A) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(cc1_tops_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ( v2_pre_topc(A)
% 1.75/1.78 & l1_pre_topc(A) )
% 1.75/1.78 => ! [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 => ( v1_xboole_0(B)
% 1.75/1.78 => ( v3_pre_topc(B,A)
% 1.75/1.78 & v4_pre_topc(B,A) ) ) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(cc2_tops_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( l1_pre_topc(A)
% 1.75/1.78 => ! [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 => ( v1_xboole_0(B)
% 1.75/1.78 => v2_tops_1(B,A) ) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(cc3_tops_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ( v2_pre_topc(A)
% 1.75/1.78 & l1_pre_topc(A) )
% 1.75/1.78 => ! [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 => ( v1_xboole_0(B)
% 1.75/1.78 => v3_tops_1(B,A) ) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(fc1_struct_0,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ( ~ v3_struct_0(A)
% 1.75/1.78 & l1_struct_0(A) )
% 1.75/1.78 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc1_subset_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ~ v1_xboole_0(A)
% 1.75/1.78 => ? [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.75/1.78 & ~ v1_xboole_0(B) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc2_subset_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ? [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.75/1.78 & v1_xboole_0(B) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc3_struct_0,axiom,
% 1.75/1.78 ? [A] :
% 1.75/1.78 ( l1_struct_0(A)
% 1.75/1.78 & ~ v3_struct_0(A) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc5_struct_0,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ( ~ v3_struct_0(A)
% 1.75/1.78 & l1_struct_0(A) )
% 1.75/1.78 => ? [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 & ~ v1_xboole_0(B) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(rc7_pre_topc,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( ( ~ v3_struct_0(A)
% 1.75/1.78 & v2_pre_topc(A)
% 1.75/1.78 & l1_pre_topc(A) )
% 1.75/1.78 => ? [B] :
% 1.75/1.78 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.78 & ~ v1_xboole_0(B)
% 1.75/1.78 & v4_pre_topc(B,A) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(t2_subset,axiom,
% 1.75/1.78 ! [A,B] :
% 1.75/1.78 ( m1_subset_1(A,B)
% 1.75/1.78 => ( v1_xboole_0(B)
% 1.75/1.78 | r2_hidden(A,B) ) ) ).
% 1.75/1.78
% 1.75/1.78 fof(t6_boole,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ( v1_xboole_0(A)
% 1.75/1.78 => A = k1_xboole_0 ) ).
% 1.75/1.78
% 1.75/1.78 fof(t7_boole,axiom,
% 1.75/1.78 ! [A,B] :
% 1.75/1.78 ~ ( r2_hidden(A,B)
% 1.75/1.78 & v1_xboole_0(B) ) ).
% 1.75/1.78
% 1.75/1.78 fof(t8_boole,axiom,
% 1.75/1.78 ! [A,B] :
% 1.75/1.78 ~ ( v1_xboole_0(A)
% 1.75/1.78 & A != B
% 1.75/1.78 & v1_xboole_0(B) ) ).
% 1.75/1.78
% 1.75/1.78 fof(commutativity_k5_subset_1,axiom,
% 1.75/1.78 ! [A,B,C] :
% 1.75/1.78 ( ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.75/1.78 & m1_subset_1(C,k1_zfmisc_1(A)) )
% 1.75/1.78 => k5_subset_1(A,B,C) = k5_subset_1(A,C,B) ) ).
% 1.75/1.78
% 1.75/1.78 fof(idempotence_k5_subset_1,axiom,
% 1.75/1.78 ! [A,B,C] :
% 1.75/1.78 ( ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.75/1.78 & m1_subset_1(C,k1_zfmisc_1(A)) )
% 1.75/1.78 => k5_subset_1(A,B,B) = B ) ).
% 1.75/1.78
% 1.75/1.78 fof(existence_l1_pre_topc,axiom,
% 1.75/1.78 ? [A] : l1_pre_topc(A) ).
% 1.75/1.78
% 1.75/1.78 fof(existence_m1_subset_1,axiom,
% 1.75/1.78 ! [A] :
% 1.75/1.78 ? [B] : m1_subset_1(B,A) ).
% 1.75/1.78
% 1.75/1.78 fof(redefinition_k5_subset_1,axiom,
% 1.75/1.78 ! [A,B,C] :
% 1.75/1.78 ( ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.75/1.78 & m1_subset_1(C,k1_zfmisc_1(A)) )
% 1.75/1.78 => k5_subset_1(A,B,C) = k3_xboole_0(B,C) ) ).
% 1.75/1.78
% 1.75/1.78 fof(dt_k1_zfmisc_1,axiom,
% 1.75/1.78 $true ).
% 1.75/1.78
% 1.75/1.78 fof(dt_k3_tex_4,axiom,
% 1.75/1.78 ! [A,B] :
% 1.75/1.78 ( ( ~ v3_struct_0(A)
% 1.75/1.78 & l1_pre_topc(A)
% 1.75/1.78 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 1.75/1.78 => m1_subset_1(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ).
% 1.75/1.78
% 1.75/1.78 fof(dt_k5_subset_1,axiom,
% 1.75/1.78 ! [A,B,C] :
% 1.75/1.78 ( ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.75/1.79 & m1_subset_1(C,k1_zfmisc_1(A)) )
% 1.75/1.79 => m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ) ).
% 1.75/1.79
% 1.75/1.79 fof(dt_k6_pre_topc,axiom,
% 1.75/1.79 ! [A,B] :
% 1.75/1.79 ( ( l1_pre_topc(A)
% 1.75/1.79 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 1.75/1.79 => m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ).
% 1.75/1.79
% 1.75/1.79 fof(dt_l1_pre_topc,axiom,
% 1.75/1.79 ! [A] :
% 1.75/1.79 ( l1_pre_topc(A)
% 1.75/1.79 => l1_struct_0(A) ) ).
% 1.75/1.79
% 1.75/1.79 fof(dt_m1_subset_1,axiom,
% 1.75/1.79 $true ).
% 1.75/1.79
% 1.75/1.79 fof(dt_u1_struct_0,axiom,
% 1.75/1.79 $true ).
% 1.75/1.79
% 1.75/1.79 fof(fc1_subset_1,axiom,
% 1.75/1.79 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 1.75/1.79
% 1.75/1.79 fof(fc2_tops_1,axiom,
% 1.75/1.79 ! [A,B] :
% 1.75/1.79 ( ( v2_pre_topc(A)
% 1.75/1.79 & l1_pre_topc(A)
% 1.75/1.79 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 1.75/1.79 => v4_pre_topc(k6_pre_topc(A,B),A) ) ).
% 1.75/1.79
% 1.75/1.79 fof(rc6_pre_topc,axiom,
% 1.75/1.79 ! [A] :
% 1.75/1.79 ( ( v2_pre_topc(A)
% 1.75/1.79 & l1_pre_topc(A) )
% 1.75/1.79 => ? [B] :
% 1.75/1.79 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.79 & v4_pre_topc(B,A) ) ) ).
% 1.75/1.79
% 1.75/1.79 fof(t3_subset,axiom,
% 1.75/1.79 ! [A,B] :
% 1.75/1.79 ( m1_subset_1(A,k1_zfmisc_1(B))
% 1.75/1.79 <=> r1_tarski(A,B) ) ).
% 1.75/1.79
% 1.75/1.79 fof(t5_tsp_2,axiom,
% 1.75/1.79 ! [A] :
% 1.75/1.79 ( ( ~ v3_struct_0(A)
% 1.75/1.79 & v2_pre_topc(A)
% 1.75/1.79 & l1_pre_topc(A) )
% 1.75/1.79 => ! [B] :
% 1.75/1.79 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.79 => ( v1_tsp_2(B,A)
% 1.75/1.79 => ! [C] :
% 1.75/1.79 ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
% 1.75/1.79 => ( v4_pre_topc(C,A)
% 1.75/1.79 => C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) ) ) ) ) ) ).
% 1.75/1.79
% 1.75/1.79 %------------------------------------------------------------------------------
% 1.75/1.79 %-------------------------------------------
% 1.75/1.79 % Proof found
% 1.75/1.79 % SZS status Theorem for theBenchmark
% 1.75/1.79 % SZS output start Proof
% 1.75/1.79 %ClaNum:227(EqnAxiom:56)
% 1.75/1.79 %VarNum:599(SingletonVarNum:245)
% 1.75/1.79 %MaxLitNum:8
% 1.75/1.79 %MaxfuncDepth:3
% 1.75/1.79 %SharedTerms:36
% 1.75/1.79 %goalClause: 57 58 74 79 80 83 87
% 1.75/1.79 %singleGoalClaCount:7
% 1.75/1.79 [57]P1(a1)
% 1.75/1.79 [58]P2(a1)
% 1.75/1.79 [59]P2(a2)
% 1.75/1.79 [60]P3(a11)
% 1.75/1.79 [61]P3(a12)
% 1.75/1.79 [62]P9(a11)
% 1.75/1.79 [63]P9(a12)
% 1.75/1.79 [64]P15(a11)
% 1.75/1.79 [65]P15(a12)
% 1.75/1.79 [66]P17(a11)
% 1.75/1.79 [67]P17(a12)
% 1.75/1.79 [68]P21(a11)
% 1.75/1.79 [69]P21(a12)
% 1.75/1.79 [70]P10(a11)
% 1.75/1.79 [71]P4(a3)
% 1.75/1.79 [72]P4(a4)
% 1.75/1.79 [74]P11(a13,a1)
% 1.75/1.79 [83]~P18(a1)
% 1.75/1.79 [84]~P18(a4)
% 1.75/1.79 [85]~P10(a12)
% 1.75/1.79 [79]P6(a13,f21(f23(a1)))
% 1.75/1.79 [80]P6(a14,f21(f23(a1)))
% 1.75/1.79 [87]~E(f22(a1,f25(f23(a1),a13,f24(a1,a14))),f24(a1,a14))
% 1.75/1.79 [76]P5(x761,x761)
% 1.75/1.79 [73]P10(f5(x731))
% 1.75/1.79 [75]E(f20(x751,a11),a11)
% 1.75/1.79 [77]E(f20(x771,x771),x771)
% 1.75/1.79 [78]P6(f9(x781),x781)
% 1.75/1.79 [81]P6(f5(x811),f21(x811))
% 1.75/1.79 [86]~P10(f21(x861))
% 1.75/1.79 [82]E(f20(x821,x822),f20(x822,x821))
% 1.75/1.79 [88]~P10(x881)+E(x881,a11)
% 1.75/1.79 [89]~P9(x891)+P3(x891)
% 1.75/1.79 [90]~P10(x901)+P3(x901)
% 1.75/1.79 [91]~P15(x911)+P9(x911)
% 1.75/1.79 [92]~P10(x921)+P9(x921)
% 1.75/1.79 [93]~P17(x931)+P15(x931)
% 1.75/1.79 [94]~P10(x941)+P15(x941)
% 1.75/1.79 [95]~P21(x951)+P17(x951)
% 1.75/1.79 [96]~P10(x961)+P17(x961)
% 1.75/1.79 [97]~P10(x971)+P21(x971)
% 1.75/1.79 [98]~P2(x981)+P4(x981)
% 1.75/1.79 [100]~P2(x1001)+P3(f15(x1001))
% 1.75/1.79 [101]~P2(x1011)+P9(f15(x1011))
% 1.75/1.79 [102]~P2(x1021)+P15(f15(x1021))
% 1.75/1.79 [103]~P2(x1031)+P17(f15(x1031))
% 1.75/1.79 [104]~P2(x1041)+P21(f15(x1041))
% 1.75/1.79 [105]~P2(x1051)+P10(f15(x1051))
% 1.75/1.79 [106]P10(x1061)+~P10(f6(x1061))
% 1.75/1.79 [113]~P2(x1131)+P16(f15(x1131),x1131)
% 1.75/1.79 [117]P10(x1171)+P6(f6(x1171),f21(x1171))
% 1.75/1.79 [195]~P2(x1951)+P6(f15(x1951),f21(f23(x1951)))
% 1.75/1.79 [116]~P10(x1161)+~P7(x1162,x1161)
% 1.75/1.79 [143]~P7(x1431,x1432)+P6(x1431,x1432)
% 1.75/1.79 [194]~P7(x1942,x1941)+~P7(x1941,x1942)
% 1.75/1.79 [144]~P3(x1442)+P3(f20(x1441,x1442))
% 1.75/1.79 [145]~P3(x1451)+P3(f20(x1451,x1452))
% 1.75/1.79 [146]~P9(x1462)+P3(f20(x1461,x1462))
% 1.75/1.79 [147]~P9(x1471)+P3(f20(x1471,x1472))
% 1.75/1.79 [148]~P15(x1482)+P3(f20(x1481,x1482))
% 1.75/1.79 [149]~P15(x1491)+P3(f20(x1491,x1492))
% 1.75/1.79 [150]~P17(x1502)+P3(f20(x1501,x1502))
% 1.75/1.79 [151]~P17(x1511)+P3(f20(x1511,x1512))
% 1.75/1.79 [152]~P21(x1522)+P3(f20(x1521,x1522))
% 1.75/1.79 [153]~P21(x1531)+P3(f20(x1531,x1532))
% 1.75/1.79 [154]~P9(x1542)+P9(f20(x1541,x1542))
% 1.75/1.79 [155]~P9(x1551)+P9(f20(x1551,x1552))
% 1.75/1.79 [156]~P15(x1562)+P9(f20(x1561,x1562))
% 1.75/1.79 [157]~P15(x1571)+P9(f20(x1571,x1572))
% 1.75/1.79 [158]~P17(x1582)+P9(f20(x1581,x1582))
% 1.75/1.79 [159]~P17(x1591)+P9(f20(x1591,x1592))
% 1.75/1.79 [160]~P21(x1602)+P9(f20(x1601,x1602))
% 1.75/1.79 [161]~P21(x1611)+P9(f20(x1611,x1612))
% 1.75/1.79 [162]~P15(x1622)+P15(f20(x1621,x1622))
% 1.75/1.79 [163]~P15(x1631)+P15(f20(x1631,x1632))
% 1.75/1.79 [164]~P17(x1642)+P15(f20(x1641,x1642))
% 1.75/1.79 [165]~P17(x1651)+P15(f20(x1651,x1652))
% 1.75/1.79 [166]~P21(x1662)+P15(f20(x1661,x1662))
% 1.75/1.79 [167]~P21(x1671)+P15(f20(x1671,x1672))
% 1.75/1.79 [168]~P17(x1682)+P17(f20(x1681,x1682))
% 1.75/1.79 [169]~P17(x1691)+P17(f20(x1691,x1692))
% 1.75/1.79 [170]~P21(x1702)+P17(f20(x1701,x1702))
% 1.75/1.79 [171]~P21(x1711)+P17(f20(x1711,x1712))
% 1.75/1.79 [172]~P21(x1722)+P21(f20(x1721,x1722))
% 1.75/1.79 [173]~P21(x1731)+P21(f20(x1731,x1732))
% 1.75/1.79 [178]~P5(x1781,x1782)+P6(x1781,f21(x1782))
% 1.75/1.79 [196]P5(x1961,x1962)+~P6(x1961,f21(x1962))
% 1.75/1.79 [107]~P1(x1071)+~P2(x1071)+P3(f19(x1071))
% 1.75/1.79 [108]~P1(x1081)+~P2(x1081)+P9(f19(x1081))
% 1.75/1.79 [109]~P1(x1091)+~P2(x1091)+P15(f19(x1091))
% 1.75/1.79 [110]~P1(x1101)+~P2(x1101)+P17(f19(x1101))
% 1.75/1.79 [111]~P1(x1111)+~P2(x1111)+P21(f19(x1111))
% 1.75/1.79 [112]~P1(x1121)+~P2(x1121)+P10(f19(x1121))
% 1.75/1.79 [114]~P4(x1141)+P18(x1141)+~P10(f23(x1141))
% 1.75/1.79 [115]~P4(x1151)+P18(x1151)+~P10(f7(x1151))
% 1.75/1.79 [133]~P1(x1331)+~P2(x1331)+P20(f19(x1331),x1331)
% 1.75/1.79 [134]~P1(x1341)+~P2(x1341)+P16(f19(x1341),x1341)
% 1.75/1.79 [135]~P1(x1351)+~P2(x1351)+P23(f16(x1351),x1351)
% 1.75/1.79 [136]~P1(x1361)+~P2(x1361)+P23(f19(x1361),x1361)
% 1.75/1.79 [137]~P1(x1371)+~P2(x1371)+P23(f10(x1371),x1371)
% 1.75/1.79 [138]~P1(x1381)+~P2(x1381)+P19(f17(x1381),x1381)
% 1.75/1.79 [139]~P1(x1391)+~P2(x1391)+P19(f16(x1391),x1391)
% 1.75/1.79 [140]~P1(x1401)+~P2(x1401)+P19(f19(x1401),x1401)
% 1.75/1.79 [197]~P4(x1971)+P18(x1971)+P6(f7(x1971),f21(f23(x1971)))
% 1.75/1.79 [198]~P1(x1981)+~P2(x1981)+P6(f17(x1981),f21(f23(x1981)))
% 1.75/1.79 [199]~P1(x1991)+~P2(x1991)+P6(f16(x1991),f21(f23(x1991)))
% 1.75/1.79 [200]~P1(x2001)+~P2(x2001)+P6(f19(x2001),f21(f23(x2001)))
% 1.75/1.79 [201]~P1(x2011)+~P2(x2011)+P6(f10(x2011),f21(f23(x2011)))
% 1.75/1.79 [99]~P10(x992)+~P10(x991)+E(x991,x992)
% 1.75/1.79 [118]~P6(x1181,x1182)+P13(x1181)+~P3(x1182)
% 1.75/1.79 [119]~P6(x1191,x1192)+P13(x1191)+~P9(x1192)
% 1.75/1.79 [120]~P6(x1201,x1202)+P13(x1201)+~P15(x1202)
% 1.75/1.79 [121]~P6(x1211,x1212)+P13(x1211)+~P17(x1212)
% 1.75/1.79 [122]~P6(x1221,x1222)+P13(x1221)+~P21(x1222)
% 1.75/1.79 [123]~P6(x1231,x1232)+P14(x1231)+~P9(x1232)
% 1.75/1.79 [124]~P6(x1241,x1242)+P14(x1241)+~P15(x1242)
% 1.75/1.79 [125]~P6(x1251,x1252)+P14(x1251)+~P17(x1252)
% 1.75/1.79 [126]~P6(x1261,x1262)+P14(x1261)+~P21(x1262)
% 1.75/1.79 [127]~P6(x1271,x1272)+P12(x1271)+~P15(x1272)
% 1.75/1.79 [128]~P6(x1281,x1282)+P12(x1281)+~P17(x1282)
% 1.75/1.79 [129]~P6(x1291,x1292)+P12(x1291)+~P21(x1292)
% 1.75/1.79 [130]~P6(x1301,x1302)+P8(x1301)+~P17(x1302)
% 1.75/1.79 [131]~P6(x1311,x1312)+P8(x1311)+~P21(x1312)
% 1.75/1.79 [132]~P6(x1321,x1322)+P22(x1321)+~P21(x1322)
% 1.75/1.79 [177]~P6(x1772,x1771)+P10(x1771)+P7(x1772,x1771)
% 1.75/1.79 [179]P3(x1791)+~P3(x1792)+~P6(x1791,f21(x1792))
% 1.75/1.79 [180]P3(x1801)+~P9(x1802)+~P6(x1801,f21(x1802))
% 1.75/1.79 [181]P3(x1811)+~P15(x1812)+~P6(x1811,f21(x1812))
% 1.75/1.79 [182]P3(x1821)+~P17(x1822)+~P6(x1821,f21(x1822))
% 1.75/1.79 [183]P3(x1831)+~P21(x1832)+~P6(x1831,f21(x1832))
% 1.75/1.79 [184]P9(x1841)+~P9(x1842)+~P6(x1841,f21(x1842))
% 1.75/1.79 [185]P9(x1851)+~P15(x1852)+~P6(x1851,f21(x1852))
% 1.75/1.79 [186]P9(x1861)+~P17(x1862)+~P6(x1861,f21(x1862))
% 1.75/1.79 [187]P9(x1871)+~P21(x1872)+~P6(x1871,f21(x1872))
% 1.75/1.79 [188]P15(x1881)+~P15(x1882)+~P6(x1881,f21(x1882))
% 1.75/1.79 [189]P15(x1891)+~P17(x1892)+~P6(x1891,f21(x1892))
% 1.75/1.79 [190]P15(x1901)+~P21(x1902)+~P6(x1901,f21(x1902))
% 1.75/1.79 [191]P17(x1911)+~P17(x1912)+~P6(x1911,f21(x1912))
% 1.75/1.79 [192]P17(x1921)+~P21(x1922)+~P6(x1921,f21(x1922))
% 1.75/1.79 [193]P21(x1931)+~P21(x1932)+~P6(x1931,f21(x1932))
% 1.75/1.79 [218]~P2(x2181)+~P6(x2182,f21(f23(x2181)))+P6(f24(x2181,x2182),f21(f23(x2181)))
% 1.75/1.79 [204]~P10(x2041)+~P7(x2042,x2043)+~P6(x2043,f21(x2041))
% 1.75/1.79 [205]P6(x2051,x2052)+~P7(x2051,x2053)+~P6(x2053,f21(x2052))
% 1.75/1.79 [219]~P6(x2192,f21(x2191))+E(f25(x2191,x2192,x2192),x2192)+~P6(x2193,f21(x2191))
% 1.75/1.79 [224]~P6(x2243,f21(x2241))+~P6(x2242,f21(x2241))+E(f25(x2241,x2242,x2243),f20(x2242,x2243))
% 1.75/1.79 [225]~P6(x2253,f21(x2251))+~P6(x2252,f21(x2251))+E(f25(x2251,x2252,x2253),f25(x2251,x2253,x2252))
% 1.75/1.79 [226]~P6(x2263,f21(x2261))+~P6(x2262,f21(x2261))+P6(f25(x2261,x2262,x2263),f21(x2261))
% 1.75/1.79 [141]~P1(x1411)+~P2(x1411)+P18(x1411)+~P10(f18(x1411))
% 1.75/1.79 [142]~P1(x1421)+~P2(x1421)+P18(x1421)+~P10(f8(x1421))
% 1.75/1.79 [174]~P1(x1741)+~P2(x1741)+P18(x1741)+P23(f18(x1741),x1741)
% 1.75/1.79 [175]~P1(x1751)+~P2(x1751)+P18(x1751)+P23(f8(x1751),x1751)
% 1.75/1.79 [176]~P1(x1761)+~P2(x1761)+P18(x1761)+P19(f18(x1761),x1761)
% 1.75/1.79 [202]~P1(x2021)+~P2(x2021)+P18(x2021)+P6(f18(x2021),f21(f23(x2021)))
% 1.75/1.79 [203]~P1(x2031)+~P2(x2031)+P18(x2031)+P6(f8(x2031),f21(f23(x2031)))
% 1.75/1.79 [206]~P2(x2062)+~P10(x2061)+P16(x2061,x2062)+~P6(x2061,f21(f23(x2062)))
% 1.75/1.79 [211]~P1(x2111)+~P2(x2111)+P23(f24(x2111,x2112),x2111)+~P6(x2112,f21(f23(x2111)))
% 1.75/1.79 [220]~P2(x2201)+P18(x2201)+~P6(x2202,f21(f23(x2201)))+P6(f22(x2201,x2202),f21(f23(x2201)))
% 1.75/1.79 [207]~P1(x2072)+~P2(x2072)+~P10(x2071)+P20(x2071,x2072)+~P6(x2071,f21(f23(x2072)))
% 1.75/1.79 [208]~P1(x2082)+~P2(x2082)+~P10(x2081)+P23(x2081,x2082)+~P6(x2081,f21(f23(x2082)))
% 1.75/1.79 [209]~P1(x2092)+~P2(x2092)+~P10(x2091)+P19(x2091,x2092)+~P6(x2091,f21(f23(x2092)))
% 1.75/1.79 [210]~P1(x2102)+~P2(x2102)+~P20(x2101,x2102)+P16(x2101,x2102)+~P6(x2101,f21(f23(x2102)))
% 1.75/1.79 [212]~P2(x2122)+~P20(x2121,x2122)+~P19(x2121,x2122)+P3(x2121)+~P1(x2122)+~P6(x2121,f21(f23(x2122)))
% 1.75/1.79 [213]~P2(x2132)+~P20(x2131,x2132)+~P19(x2131,x2132)+P9(x2131)+~P1(x2132)+~P6(x2131,f21(f23(x2132)))
% 1.75/1.79 [214]~P2(x2142)+~P20(x2141,x2142)+~P19(x2141,x2142)+P15(x2141)+~P1(x2142)+~P6(x2141,f21(f23(x2142)))
% 1.75/1.79 [215]~P2(x2152)+~P20(x2151,x2152)+~P19(x2151,x2152)+P17(x2151)+~P1(x2152)+~P6(x2151,f21(f23(x2152)))
% 1.75/1.79 [216]~P2(x2162)+~P20(x2161,x2162)+~P19(x2161,x2162)+P21(x2161)+~P1(x2162)+~P6(x2161,f21(f23(x2162)))
% 1.75/1.79 [217]~P2(x2172)+~P20(x2171,x2172)+~P19(x2171,x2172)+P10(x2171)+~P1(x2172)+~P6(x2171,f21(f23(x2172)))
% 1.75/1.79 [221]~P1(x2212)+~P2(x2212)+~P16(x2211,x2212)+~P23(x2211,x2212)+P20(x2211,x2212)+~P6(x2211,f21(f23(x2212)))
% 1.75/1.79 [223]~P1(x2232)+~P2(x2232)+~P20(x2231,x2232)+~P19(x2231,x2232)+P23(x2231,x2232)+~P6(x2231,f21(f23(x2232)))
% 1.75/1.79 [227]P18(x2271)+~P1(x2271)+~P2(x2271)+~P11(x2272,x2271)+~P23(x2273,x2271)+~P6(x2273,f21(f23(x2271)))+~P6(x2272,f21(f23(x2271)))+E(f22(x2271,f25(f23(x2271),x2272,x2273)),x2273)
% 1.75/1.79 %EqnAxiom
% 1.75/1.79 [1]E(x11,x11)
% 1.75/1.79 [2]E(x22,x21)+~E(x21,x22)
% 1.75/1.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.75/1.79 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 1.75/1.79 [5]~E(x51,x52)+E(f20(x51,x53),f20(x52,x53))
% 1.75/1.79 [6]~E(x61,x62)+E(f20(x63,x61),f20(x63,x62))
% 1.75/1.79 [7]~E(x71,x72)+E(f23(x71),f23(x72))
% 1.75/1.79 [8]~E(x81,x82)+E(f9(x81),f9(x82))
% 1.75/1.79 [9]~E(x91,x92)+E(f21(x91),f21(x92))
% 1.75/1.79 [10]~E(x101,x102)+E(f8(x101),f8(x102))
% 1.75/1.79 [11]~E(x111,x112)+E(f24(x111,x113),f24(x112,x113))
% 1.75/1.79 [12]~E(x121,x122)+E(f24(x123,x121),f24(x123,x122))
% 1.75/1.79 [13]~E(x131,x132)+E(f18(x131),f18(x132))
% 1.75/1.79 [14]~E(x141,x142)+E(f10(x141),f10(x142))
% 1.75/1.79 [15]~E(x151,x152)+E(f19(x151),f19(x152))
% 1.75/1.79 [16]~E(x161,x162)+E(f16(x161),f16(x162))
% 1.75/1.79 [17]~E(x171,x172)+E(f17(x171),f17(x172))
% 1.75/1.79 [18]~E(x181,x182)+E(f7(x181),f7(x182))
% 1.75/1.79 [19]~E(x191,x192)+E(f15(x191),f15(x192))
% 1.75/1.79 [20]~E(x201,x202)+E(f25(x201,x203,x204),f25(x202,x203,x204))
% 1.75/1.79 [21]~E(x211,x212)+E(f25(x213,x211,x214),f25(x213,x212,x214))
% 1.75/1.79 [22]~E(x221,x222)+E(f25(x223,x224,x221),f25(x223,x224,x222))
% 1.75/1.79 [23]~E(x231,x232)+E(f22(x231,x233),f22(x232,x233))
% 1.75/1.79 [24]~E(x241,x242)+E(f22(x243,x241),f22(x243,x242))
% 1.75/1.79 [25]~E(x251,x252)+E(f6(x251),f6(x252))
% 1.75/1.79 [26]~P1(x261)+P1(x262)+~E(x261,x262)
% 1.75/1.79 [27]~P2(x271)+P2(x272)+~E(x271,x272)
% 1.75/1.79 [28]P6(x282,x283)+~E(x281,x282)+~P6(x281,x283)
% 1.75/1.79 [29]P6(x293,x292)+~E(x291,x292)+~P6(x293,x291)
% 1.75/1.79 [30]~P3(x301)+P3(x302)+~E(x301,x302)
% 1.75/1.79 [31]~P21(x311)+P21(x312)+~E(x311,x312)
% 1.75/1.79 [32]~P9(x321)+P9(x322)+~E(x321,x322)
% 1.75/1.79 [33]~P15(x331)+P15(x332)+~E(x331,x332)
% 1.75/1.79 [34]~P17(x341)+P17(x342)+~E(x341,x342)
% 1.75/1.79 [35]~P10(x351)+P10(x352)+~E(x351,x352)
% 1.75/1.79 [36]P19(x362,x363)+~E(x361,x362)+~P19(x361,x363)
% 1.75/1.79 [37]P19(x373,x372)+~E(x371,x372)+~P19(x373,x371)
% 1.75/1.79 [38]P23(x382,x383)+~E(x381,x382)+~P23(x381,x383)
% 1.75/1.79 [39]P23(x393,x392)+~E(x391,x392)+~P23(x393,x391)
% 1.75/1.79 [40]~P18(x401)+P18(x402)+~E(x401,x402)
% 1.75/1.79 [41]P20(x412,x413)+~E(x411,x412)+~P20(x411,x413)
% 1.75/1.79 [42]P20(x423,x422)+~E(x421,x422)+~P20(x423,x421)
% 1.75/1.79 [43]~P12(x431)+P12(x432)+~E(x431,x432)
% 1.75/1.79 [44]~P4(x441)+P4(x442)+~E(x441,x442)
% 1.75/1.79 [45]P7(x452,x453)+~E(x451,x452)+~P7(x451,x453)
% 1.75/1.79 [46]P7(x463,x462)+~E(x461,x462)+~P7(x463,x461)
% 1.75/1.79 [47]~P14(x471)+P14(x472)+~E(x471,x472)
% 1.75/1.79 [48]P11(x482,x483)+~E(x481,x482)+~P11(x481,x483)
% 1.75/1.79 [49]P11(x493,x492)+~E(x491,x492)+~P11(x493,x491)
% 1.75/1.79 [50]P5(x502,x503)+~E(x501,x502)+~P5(x501,x503)
% 1.75/1.79 [51]P5(x513,x512)+~E(x511,x512)+~P5(x513,x511)
% 1.75/1.79 [52]P16(x522,x523)+~E(x521,x522)+~P16(x521,x523)
% 1.75/1.79 [53]P16(x533,x532)+~E(x531,x532)+~P16(x533,x531)
% 1.75/1.79 [54]~P13(x541)+P13(x542)+~E(x541,x542)
% 1.75/1.79 [55]~P8(x551)+P8(x552)+~E(x551,x552)
% 1.75/1.79 [56]~P22(x561)+P22(x562)+~E(x561,x562)
% 1.75/1.79
% 1.75/1.79 %-------------------------------------------
% 1.75/1.79 cnf(228,plain,
% 1.75/1.79 (E(x2281,f20(x2281,x2281))),
% 1.75/1.79 inference(scs_inference,[],[77,2])).
% 1.75/1.79 cnf(229,plain,
% 1.75/1.79 (~P7(x2291,a11)),
% 1.75/1.79 inference(scs_inference,[],[70,77,2,116])).
% 1.75/1.79 cnf(233,plain,
% 1.75/1.79 (P5(f20(x2331,x2331),x2331)),
% 1.75/1.79 inference(scs_inference,[],[76,70,79,77,2,116,196,51])).
% 1.75/1.79 cnf(234,plain,
% 1.75/1.79 (P5(x2341,f20(x2341,x2341))),
% 1.75/1.79 inference(scs_inference,[],[76,70,79,77,2,116,196,51,50])).
% 1.75/1.79 cnf(236,plain,
% 1.75/1.79 (~P18(f20(a1,a1))),
% 1.75/1.79 inference(scs_inference,[],[76,74,83,70,79,77,2,116,196,51,50,49,40])).
% 1.75/1.79 cnf(237,plain,
% 1.75/1.79 (E(f20(x2371,x2371),x2371)),
% 1.75/1.79 inference(rename_variables,[],[77])).
% 1.75/1.79 cnf(239,plain,
% 1.75/1.79 (E(f20(x2391,x2391),x2391)),
% 1.75/1.79 inference(rename_variables,[],[77])).
% 1.75/1.79 cnf(240,plain,
% 1.75/1.79 (P6(f9(f20(x2401,x2401)),x2401)),
% 1.75/1.79 inference(scs_inference,[],[76,74,83,70,85,79,77,237,239,78,2,116,196,51,50,49,40,35,29])).
% 1.75/1.79 cnf(241,plain,
% 1.75/1.79 (P6(f9(x2411),x2411)),
% 1.75/1.79 inference(rename_variables,[],[78])).
% 1.75/1.79 cnf(242,plain,
% 1.75/1.79 (P2(f20(a1,a1))),
% 1.75/1.79 inference(scs_inference,[],[76,58,74,83,70,85,79,77,237,239,78,2,116,196,51,50,49,40,35,29,27])).
% 1.75/1.79 cnf(243,plain,
% 1.75/1.79 (P1(f20(a1,a1))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,70,85,79,77,237,239,78,2,116,196,51,50,49,40,35,29,27,26])).
% 1.75/1.79 cnf(245,plain,
% 1.75/1.79 (E(f20(x2451,x2451),x2451)),
% 1.75/1.79 inference(rename_variables,[],[77])).
% 1.75/1.79 cnf(246,plain,
% 1.75/1.79 (P7(f9(a12),a12)),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,70,85,79,87,77,237,239,78,241,2,116,196,51,50,49,40,35,29,27,26,3,177])).
% 1.75/1.79 cnf(247,plain,
% 1.75/1.79 (P6(f9(x2471),x2471)),
% 1.75/1.79 inference(rename_variables,[],[78])).
% 1.75/1.79 cnf(249,plain,
% 1.75/1.79 (~P7(x2491,f9(f21(a11)))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,70,85,79,87,77,237,239,78,241,247,2,116,196,51,50,49,40,35,29,27,26,3,177,204])).
% 1.75/1.79 cnf(250,plain,
% 1.75/1.79 (P6(f9(x2501),x2501)),
% 1.75/1.79 inference(rename_variables,[],[78])).
% 1.75/1.79 cnf(253,plain,
% 1.75/1.79 (P6(f9(x2531),x2531)),
% 1.75/1.79 inference(rename_variables,[],[78])).
% 1.75/1.79 cnf(255,plain,
% 1.75/1.79 (P17(f9(f21(a11)))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,68,70,85,79,87,77,237,239,78,241,247,250,253,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192])).
% 1.75/1.79 cnf(256,plain,
% 1.75/1.79 (P6(f9(x2561),x2561)),
% 1.75/1.79 inference(rename_variables,[],[78])).
% 1.75/1.79 cnf(259,plain,
% 1.75/1.79 (P6(f5(x2591),f21(x2591))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(262,plain,
% 1.75/1.79 (P6(f9(x2621),x2621)),
% 1.75/1.79 inference(rename_variables,[],[78])).
% 1.75/1.79 cnf(265,plain,
% 1.75/1.79 (P6(f5(x2651),f21(x2651))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(268,plain,
% 1.75/1.79 (P6(f9(x2681),x2681)),
% 1.75/1.79 inference(rename_variables,[],[78])).
% 1.75/1.79 cnf(271,plain,
% 1.75/1.79 (P6(f5(x2711),f21(x2711))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(274,plain,
% 1.75/1.79 (P6(f9(x2741),x2741)),
% 1.75/1.79 inference(rename_variables,[],[78])).
% 1.75/1.79 cnf(277,plain,
% 1.75/1.79 (P6(f5(x2771),f21(x2771))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(279,plain,
% 1.75/1.79 (P16(f5(f23(a1)),a1)),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,81,259,265,271,277,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206])).
% 1.75/1.79 cnf(280,plain,
% 1.75/1.79 (P6(f5(x2801),f21(x2801))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(281,plain,
% 1.75/1.79 (P10(f5(x2811))),
% 1.75/1.79 inference(rename_variables,[],[73])).
% 1.75/1.79 cnf(283,plain,
% 1.75/1.79 (P23(f24(a1,a13),a1)),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,81,259,265,271,277,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211])).
% 1.75/1.79 cnf(285,plain,
% 1.75/1.79 (P19(f5(f23(a1)),a1)),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,81,259,265,271,277,280,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209])).
% 1.75/1.79 cnf(286,plain,
% 1.75/1.79 (P6(f5(x2861),f21(x2861))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(287,plain,
% 1.75/1.79 (P10(f5(x2871))),
% 1.75/1.79 inference(rename_variables,[],[73])).
% 1.75/1.79 cnf(289,plain,
% 1.75/1.79 (P23(f5(f23(a1)),a1)),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,81,259,265,271,277,280,286,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208])).
% 1.75/1.79 cnf(290,plain,
% 1.75/1.79 (P6(f5(x2901),f21(x2901))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(291,plain,
% 1.75/1.79 (P10(f5(x2911))),
% 1.75/1.79 inference(rename_variables,[],[73])).
% 1.75/1.79 cnf(293,plain,
% 1.75/1.79 (P20(f5(f23(a1)),a1)),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,81,259,265,271,277,280,286,290,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207])).
% 1.75/1.79 cnf(294,plain,
% 1.75/1.79 (P6(f5(x2941),f21(x2941))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(295,plain,
% 1.75/1.79 (P10(f5(x2951))),
% 1.75/1.79 inference(rename_variables,[],[73])).
% 1.75/1.79 cnf(298,plain,
% 1.75/1.79 (P6(f5(x2981),f21(x2981))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(301,plain,
% 1.75/1.79 (P6(f5(x3011),f21(x3011))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(304,plain,
% 1.75/1.79 (P6(f5(x3041),f21(x3041))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(307,plain,
% 1.75/1.79 (P6(f5(x3071),f21(x3071))),
% 1.75/1.79 inference(rename_variables,[],[81])).
% 1.75/1.79 cnf(312,plain,
% 1.75/1.79 (~P7(a12,f9(a12))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194])).
% 1.75/1.79 cnf(316,plain,
% 1.75/1.79 (P21(f5(x3161))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97])).
% 1.75/1.79 cnf(318,plain,
% 1.75/1.79 (P17(f5(x3181))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96])).
% 1.75/1.79 cnf(322,plain,
% 1.75/1.79 (P9(f5(x3221))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92])).
% 1.75/1.79 cnf(326,plain,
% 1.75/1.79 (E(f5(x3261),a11)),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88])).
% 1.75/1.79 cnf(330,plain,
% 1.75/1.79 (P21(f20(a11,x3301))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173])).
% 1.75/1.79 cnf(400,plain,
% 1.75/1.79 (P15(f15(a1))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102])).
% 1.75/1.79 cnf(402,plain,
% 1.75/1.79 (P9(f15(a1))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101])).
% 1.75/1.79 cnf(404,plain,
% 1.75/1.79 (P3(f15(a1))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100])).
% 1.75/1.79 cnf(406,plain,
% 1.75/1.79 (E(f6(f20(x4061,x4061)),f6(x4061))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25])).
% 1.75/1.79 cnf(407,plain,
% 1.75/1.79 (E(f22(x4071,f20(x4072,x4072)),f22(x4071,x4072))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24])).
% 1.75/1.79 cnf(408,plain,
% 1.75/1.79 (E(f22(f20(x4081,x4081),x4082),f22(x4081,x4082))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23])).
% 1.75/1.79 cnf(413,plain,
% 1.75/1.79 (E(f7(f20(x4131,x4131)),f7(x4131))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18])).
% 1.75/1.79 cnf(415,plain,
% 1.75/1.79 (E(f16(f20(x4151,x4151)),f16(x4151))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16])).
% 1.75/1.79 cnf(418,plain,
% 1.75/1.79 (E(f18(f20(x4181,x4181)),f18(x4181))),
% 1.75/1.79 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 1.75/1.80 cnf(419,plain,
% 1.75/1.80 (E(f24(x4191,f20(x4192,x4192)),f24(x4191,x4192))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 1.75/1.80 cnf(421,plain,
% 1.75/1.80 (E(f8(f20(x4211,x4211)),f8(x4211))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 1.75/1.80 cnf(422,plain,
% 1.75/1.80 (E(f21(f20(x4221,x4221)),f21(x4221))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 1.75/1.80 cnf(423,plain,
% 1.75/1.80 (E(f9(f20(x4231,x4231)),f9(x4231))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 1.75/1.80 cnf(425,plain,
% 1.75/1.80 (E(f20(x4251,f20(x4252,x4252)),f20(x4251,x4252))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 1.75/1.80 cnf(427,plain,
% 1.75/1.80 (E(f5(f20(x4271,x4271)),f5(x4271))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 1.75/1.80 cnf(430,plain,
% 1.75/1.80 (P6(f6(a12),f21(a12))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117])).
% 1.75/1.80 cnf(433,plain,
% 1.75/1.80 (~P7(x4331,f9(a12))+~E(x4331,a12)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45])).
% 1.75/1.80 cnf(434,plain,
% 1.75/1.80 (P4(f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44])).
% 1.75/1.80 cnf(435,plain,
% 1.75/1.80 (P22(f9(a11))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132])).
% 1.75/1.80 cnf(437,plain,
% 1.75/1.80 (P8(f9(a11))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131])).
% 1.75/1.80 cnf(439,plain,
% 1.75/1.80 (P12(f9(a11))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129])).
% 1.75/1.80 cnf(441,plain,
% 1.75/1.80 (P14(f9(a11))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126])).
% 1.75/1.80 cnf(443,plain,
% 1.75/1.80 (P13(f9(a11))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122])).
% 1.75/1.80 cnf(447,plain,
% 1.75/1.80 (P19(f16(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139])).
% 1.75/1.80 cnf(449,plain,
% 1.75/1.80 (P19(f17(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138])).
% 1.75/1.80 cnf(451,plain,
% 1.75/1.80 (P23(f10(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137])).
% 1.75/1.80 cnf(453,plain,
% 1.75/1.80 (P23(f19(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136])).
% 1.75/1.80 cnf(455,plain,
% 1.75/1.80 (P23(f16(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135])).
% 1.75/1.80 cnf(457,plain,
% 1.75/1.80 (P16(f19(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134])).
% 1.75/1.80 cnf(459,plain,
% 1.75/1.80 (P20(f19(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133])).
% 1.75/1.80 cnf(473,plain,
% 1.75/1.80 (P9(f19(a1))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108])).
% 1.75/1.80 cnf(475,plain,
% 1.75/1.80 (P3(f19(a1))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107])).
% 1.75/1.80 cnf(477,plain,
% 1.75/1.80 (P6(f10(a1),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201])).
% 1.75/1.80 cnf(479,plain,
% 1.75/1.80 (P6(f19(a1),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200])).
% 1.75/1.80 cnf(481,plain,
% 1.75/1.80 (P6(f16(a1),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199])).
% 1.75/1.80 cnf(483,plain,
% 1.75/1.80 (P6(f17(a1),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198])).
% 1.75/1.80 cnf(485,plain,
% 1.75/1.80 (P6(f7(a1),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197])).
% 1.75/1.80 cnf(487,plain,
% 1.75/1.80 (P6(f24(a1,a13),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197,218])).
% 1.75/1.80 cnf(491,plain,
% 1.75/1.80 (P6(f25(f23(a1),a13,a13),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197,218,219,226])).
% 1.75/1.80 cnf(493,plain,
% 1.75/1.80 (E(f25(f23(a1),a13,a13),f20(a13,a13))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197,218,219,226,224])).
% 1.75/1.80 cnf(497,plain,
% 1.75/1.80 (P23(f8(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197,218,219,226,224,176,175])).
% 1.75/1.80 cnf(499,plain,
% 1.75/1.80 (P23(f18(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197,218,219,226,224,176,175,174])).
% 1.75/1.80 cnf(505,plain,
% 1.75/1.80 (P6(f8(a1),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197,218,219,226,224,176,175,174,142,141,203])).
% 1.75/1.80 cnf(507,plain,
% 1.75/1.80 (P6(f18(a1),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197,218,219,226,224,176,175,174,142,141,203,202])).
% 1.75/1.80 cnf(511,plain,
% 1.75/1.80 (~P20(f18(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197,218,219,226,224,176,175,174,142,141,203,202,220,217])).
% 1.75/1.80 cnf(522,plain,
% 1.75/1.80 (~P6(f20(a11,a11),x5221)+P6(a11,x5221)+P16(a11,a11)+P19(a11,a11)+P20(a11,a11)+P23(a11,a11)),
% 1.75/1.80 inference(scs_inference,[],[57,76,58,74,83,66,67,68,70,85,79,87,77,237,239,245,78,241,247,250,253,256,262,268,274,73,281,287,291,295,81,259,265,271,277,280,286,290,294,298,301,304,307,2,116,196,51,50,49,40,35,29,27,26,3,177,204,193,192,191,190,189,187,186,183,182,206,211,209,208,207,216,215,214,213,212,194,98,97,96,94,92,90,88,178,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,113,106,105,104,103,102,101,100,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,195,117,46,45,44,132,131,129,126,122,140,139,138,137,136,135,134,133,115,114,112,111,110,109,108,107,201,200,199,198,197,218,219,226,224,176,175,174,142,141,203,202,220,217,53,52,48,42,41,39,38,37,36,28])).
% 1.75/1.80 cnf(531,plain,
% 1.75/1.80 (~P7(f20(a12,a12),f9(a12))),
% 1.75/1.80 inference(scs_inference,[],[77,433])).
% 1.75/1.80 cnf(532,plain,
% 1.75/1.80 (E(f20(x5321,x5321),x5321)),
% 1.75/1.80 inference(rename_variables,[],[77])).
% 1.75/1.80 cnf(533,plain,
% 1.75/1.80 (P22(f20(f9(a11),f9(a11)))),
% 1.75/1.80 inference(scs_inference,[],[77,228,435,433,56])).
% 1.75/1.80 cnf(534,plain,
% 1.75/1.80 (E(x5341,f20(x5341,x5341))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(536,plain,
% 1.75/1.80 (E(x5361,f20(x5361,x5361))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(538,plain,
% 1.75/1.80 (E(x5381,f20(x5381,x5381))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(540,plain,
% 1.75/1.80 (E(x5401,f20(x5401,x5401))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(542,plain,
% 1.75/1.80 (E(x5421,f20(x5421,x5421))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(543,plain,
% 1.75/1.80 (P21(f20(a12,a12))),
% 1.75/1.80 inference(scs_inference,[],[69,77,228,534,536,538,540,542,435,437,439,441,443,433,56,55,54,47,43,31])).
% 1.75/1.80 cnf(544,plain,
% 1.75/1.80 (E(x5441,f20(x5441,x5441))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(545,plain,
% 1.75/1.80 (P14(f9(f20(a11,a11)))),
% 1.75/1.80 inference(scs_inference,[],[69,77,66,228,534,536,538,540,542,240,435,437,439,441,443,433,56,55,54,47,43,31,125])).
% 1.75/1.80 cnf(546,plain,
% 1.75/1.80 (P6(f9(f20(x5461,x5461)),x5461)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(549,plain,
% 1.75/1.80 (P6(f9(x5491),x5491)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(552,plain,
% 1.75/1.80 (P6(f9(f20(x5521,x5521)),x5521)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(554,plain,
% 1.75/1.80 (P13(f9(f20(a11,a11)))),
% 1.75/1.80 inference(scs_inference,[],[63,65,69,78,77,66,228,534,536,538,540,542,240,546,552,435,437,439,441,443,433,56,55,54,47,43,31,125,124,123,121])).
% 1.75/1.80 cnf(555,plain,
% 1.75/1.80 (P6(f9(f20(x5551,x5551)),x5551)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(558,plain,
% 1.75/1.80 (P6(f9(x5581),x5581)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(561,plain,
% 1.75/1.80 (P6(f9(f20(x5611,x5611)),x5611)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(563,plain,
% 1.75/1.80 (~P16(f18(a1),a1)),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,78,549,77,66,58,228,534,536,538,540,542,240,546,552,555,507,435,437,439,441,443,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221])).
% 1.75/1.80 cnf(565,plain,
% 1.75/1.80 (P15(f9(f21(a12)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,78,549,558,77,66,58,228,534,536,538,540,542,240,546,552,555,507,435,437,439,441,443,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188])).
% 1.75/1.80 cnf(567,plain,
% 1.75/1.80 (P9(f9(f21(a12)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,78,549,558,77,66,58,228,534,536,538,540,542,240,546,552,555,507,435,437,439,441,443,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185])).
% 1.75/1.80 cnf(569,plain,
% 1.75/1.80 (P3(f9(f21(a12)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,78,549,558,77,66,58,228,534,536,538,540,542,240,546,552,555,507,435,437,439,441,443,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181])).
% 1.75/1.80 cnf(573,plain,
% 1.75/1.80 (~P6(a12,f21(f5(x5731)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,249,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204])).
% 1.75/1.80 cnf(575,plain,
% 1.75/1.80 (P19(f17(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138])).
% 1.75/1.80 cnf(577,plain,
% 1.75/1.80 (P23(f16(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135])).
% 1.75/1.80 cnf(583,plain,
% 1.75/1.80 (P10(f19(f20(a1,a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112])).
% 1.75/1.80 cnf(585,plain,
% 1.75/1.80 (P21(f19(f20(a1,a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111])).
% 1.75/1.80 cnf(587,plain,
% 1.75/1.80 (P17(f19(f20(a1,a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110])).
% 1.75/1.80 cnf(591,plain,
% 1.75/1.80 (P6(f16(f20(a1,a1)),f21(f23(f20(a1,a1))))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199])).
% 1.75/1.80 cnf(593,plain,
% 1.75/1.80 (P6(f17(f20(a1,a1)),f21(f23(f20(a1,a1))))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198])).
% 1.75/1.80 cnf(601,plain,
% 1.75/1.80 (P19(f18(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,236,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176])).
% 1.75/1.80 cnf(603,plain,
% 1.75/1.80 (~P10(f8(f20(a1,a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,236,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142])).
% 1.75/1.80 cnf(605,plain,
% 1.75/1.80 (P6(f18(f20(a1,a1)),f21(f23(f20(a1,a1))))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,78,549,558,73,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,236,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202])).
% 1.75/1.80 cnf(607,plain,
% 1.75/1.80 (P20(f5(f23(f20(a1,a1))),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,78,549,558,73,81,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,236,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207])).
% 1.75/1.80 cnf(608,plain,
% 1.75/1.80 (P10(f5(x6081))),
% 1.75/1.80 inference(rename_variables,[],[73])).
% 1.75/1.80 cnf(609,plain,
% 1.75/1.80 (P6(f5(x6091),f21(x6091))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(611,plain,
% 1.75/1.80 (P19(f19(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,78,549,558,73,81,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,236,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140])).
% 1.75/1.80 cnf(614,plain,
% 1.75/1.80 (P10(f5(x6141))),
% 1.75/1.80 inference(rename_variables,[],[73])).
% 1.75/1.80 cnf(615,plain,
% 1.75/1.80 (P6(f5(x6151),f21(x6151))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(617,plain,
% 1.75/1.80 (~P5(a12,f5(f23(f20(a1,a1))))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,78,549,558,73,608,81,609,77,66,58,228,534,536,538,540,542,240,546,552,555,561,243,242,249,236,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178])).
% 1.75/1.80 cnf(621,plain,
% 1.75/1.80 (~P5(f20(a12,a12),f5(f23(f20(a1,a1))))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,78,549,558,73,608,81,609,77,532,66,58,228,534,536,538,540,542,544,240,546,552,555,561,243,242,249,279,236,507,435,437,439,441,443,246,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50])).
% 1.75/1.80 cnf(625,plain,
% 1.75/1.80 (~E(f5(x6251),f21(x6252))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,86,78,549,558,73,608,614,81,609,77,532,66,58,228,534,536,538,540,542,544,240,546,552,555,561,243,242,249,279,289,236,507,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35])).
% 1.75/1.80 cnf(626,plain,
% 1.75/1.80 (P6(f20(a13,a13),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,86,78,549,558,73,608,614,81,609,77,532,66,58,228,534,536,538,540,542,544,240,546,552,555,561,243,242,249,279,289,491,236,493,507,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28])).
% 1.75/1.80 cnf(629,plain,
% 1.75/1.80 (P19(f16(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,86,87,78,549,558,73,608,614,81,609,77,532,66,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,507,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139])).
% 1.75/1.80 cnf(633,plain,
% 1.75/1.80 (P23(f19(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,86,87,78,549,558,73,608,614,81,609,77,532,66,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,507,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136])).
% 1.75/1.80 cnf(635,plain,
% 1.75/1.80 (P16(f19(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,86,87,78,549,558,73,608,614,81,609,77,532,66,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,507,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134])).
% 1.75/1.80 cnf(639,plain,
% 1.75/1.80 (P15(f19(f20(a1,a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,63,65,69,72,84,80,86,87,78,549,558,73,608,614,81,609,77,532,66,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,507,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109])).
% 1.75/1.80 cnf(648,plain,
% 1.75/1.80 (P6(f5(x6481),f21(x6481))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(654,plain,
% 1.75/1.80 (P23(f18(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,87,78,549,558,73,608,614,81,609,615,77,532,66,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,507,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174])).
% 1.75/1.80 cnf(656,plain,
% 1.75/1.80 (~P10(f18(f20(a1,a1)))),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,87,78,549,558,73,608,614,81,609,615,77,532,66,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,507,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174,141])).
% 1.75/1.80 cnf(662,plain,
% 1.75/1.80 (P23(f5(f23(f20(a1,a1))),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,87,78,549,558,73,608,614,81,609,615,648,77,532,66,83,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,507,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174,141,203,220,208])).
% 1.75/1.80 cnf(667,plain,
% 1.75/1.80 (~P7(x6671,f20(x6672,a11))),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,75,87,78,549,558,73,608,614,81,609,615,648,77,532,66,83,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,507,229,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174,141,203,220,208,2,46])).
% 1.75/1.80 cnf(668,plain,
% 1.75/1.80 (P20(f5(f23(a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,75,87,78,549,558,73,608,614,81,609,615,648,77,532,66,83,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,293,507,229,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174,141,203,220,208,2,46,42])).
% 1.75/1.80 cnf(670,plain,
% 1.75/1.80 (P19(a11,a1)),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,75,87,78,549,558,73,608,614,81,609,615,648,77,532,66,83,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,293,507,229,326,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174,141,203,220,208,2,46,42,38,36])).
% 1.75/1.80 cnf(672,plain,
% 1.75/1.80 (P9(f6(a12))),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,75,87,78,549,558,73,608,614,81,609,615,648,77,532,66,83,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,293,507,229,326,430,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174,141,203,220,208,2,46,42,38,36,34,184])).
% 1.75/1.80 cnf(674,plain,
% 1.75/1.80 (P3(f6(a12))),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,75,87,78,549,558,73,608,614,81,609,615,648,77,532,66,83,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,293,507,229,326,430,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174,141,203,220,208,2,46,42,38,36,34,184,180])).
% 1.75/1.80 cnf(676,plain,
% 1.75/1.80 (P21(f9(f21(a12)))),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,75,87,78,549,558,73,608,614,81,609,615,648,77,532,66,83,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,293,507,229,326,430,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174,141,203,220,208,2,46,42,38,36,34,184,180,193])).
% 1.75/1.80 cnf(678,plain,
% 1.75/1.80 (P17(f9(f21(a12)))),
% 1.75/1.80 inference(scs_inference,[],[57,59,63,65,69,72,84,80,86,75,87,78,549,558,73,608,614,81,609,615,648,77,532,66,83,58,228,534,536,538,540,542,544,240,546,552,555,561,419,243,242,249,279,289,491,236,493,293,507,229,326,430,435,437,439,441,443,285,246,459,499,511,433,56,55,54,47,43,31,125,124,123,121,120,119,221,188,185,181,177,204,138,135,133,114,112,111,110,108,199,198,197,226,224,176,142,202,207,140,209,178,53,52,50,41,39,37,35,28,3,139,137,136,134,115,109,107,201,200,218,219,175,174,141,203,220,208,2,46,42,38,36,34,184,180,193,192])).
% 1.75/1.80 cnf(719,plain,
% 1.75/1.80 (~P7(a12,f21(f5(x7191)))),
% 1.75/1.80 inference(scs_inference,[],[58,74,79,83,453,479,573,57,227,143])).
% 1.75/1.80 cnf(722,plain,
% 1.75/1.80 (P6(f9(x7221),x7221)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(725,plain,
% 1.75/1.80 (P6(f9(x7251),x7251)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(728,plain,
% 1.75/1.80 (P6(f9(x7281),x7281)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(731,plain,
% 1.75/1.80 (P6(f9(x7311),x7311)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(734,plain,
% 1.75/1.80 (P6(f9(x7341),x7341)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(737,plain,
% 1.75/1.80 (P6(f9(x7371),x7371)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(740,plain,
% 1.75/1.80 (~P18(f20(a4,a4))),
% 1.75/1.80 inference(scs_inference,[],[58,228,74,78,722,725,728,731,734,84,77,79,83,545,639,453,479,543,678,404,573,57,227,143,179,124,120,190,183,125,47,40])).
% 1.75/1.80 cnf(741,plain,
% 1.75/1.80 (E(f20(x7411,x7411),x7411)),
% 1.75/1.80 inference(rename_variables,[],[77])).
% 1.75/1.80 cnf(742,plain,
% 1.75/1.80 (P6(f9(f20(x7421,x7422)),f20(x7422,x7421))),
% 1.75/1.80 inference(scs_inference,[],[58,82,228,74,78,722,725,728,731,734,737,84,77,79,83,545,639,453,479,543,678,404,573,57,227,143,179,124,120,190,183,125,47,40,29])).
% 1.75/1.80 cnf(743,plain,
% 1.75/1.80 (P6(f9(x7431),x7431)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(744,plain,
% 1.75/1.80 (P10(f20(x7441,a11))),
% 1.75/1.80 inference(scs_inference,[],[58,82,228,74,78,722,725,728,731,734,737,743,84,77,79,83,545,639,453,479,543,667,678,404,573,57,227,143,179,124,120,190,183,125,47,40,29,177])).
% 1.75/1.80 cnf(745,plain,
% 1.75/1.80 (P6(f9(x7451),x7451)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(746,plain,
% 1.75/1.80 (~P7(x7461,f20(x7462,a11))),
% 1.75/1.80 inference(rename_variables,[],[667])).
% 1.75/1.80 cnf(748,plain,
% 1.75/1.80 (P8(f9(a12))),
% 1.75/1.80 inference(scs_inference,[],[58,82,228,74,78,722,725,728,731,734,737,743,745,84,77,67,79,83,545,639,453,479,543,667,678,404,573,57,227,143,179,124,120,190,183,125,47,40,29,177,130])).
% 1.75/1.80 cnf(749,plain,
% 1.75/1.80 (P6(f9(x7491),x7491)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(751,plain,
% 1.75/1.80 (P12(f9(a12))),
% 1.75/1.80 inference(scs_inference,[],[58,82,228,74,78,722,725,728,731,734,737,743,745,749,84,77,67,79,83,545,639,453,479,543,667,678,404,573,57,227,143,179,124,120,190,183,125,47,40,29,177,130,128])).
% 1.75/1.80 cnf(752,plain,
% 1.75/1.80 (P6(f9(x7521),x7521)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(755,plain,
% 1.75/1.80 (P6(f9(x7551),x7551)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(758,plain,
% 1.75/1.80 (P6(f9(x7581),x7581)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(763,plain,
% 1.75/1.80 (P6(f9(f20(x7631,x7631)),x7631)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(768,plain,
% 1.75/1.80 (P6(f9(f20(x7681,x7681)),x7681)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(771,plain,
% 1.75/1.80 (P6(f9(f20(x7711,x7711)),x7711)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(774,plain,
% 1.75/1.80 (P6(f9(f20(x7741,x7741)),x7741)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(777,plain,
% 1.75/1.80 (~P6(a12,f21(a11))),
% 1.75/1.80 inference(scs_inference,[],[58,82,64,228,74,70,78,722,725,728,731,734,737,743,745,749,752,755,758,84,77,67,79,83,545,554,639,453,479,543,667,678,404,573,672,318,240,763,768,771,246,57,227,143,179,124,120,190,183,125,47,40,29,177,130,128,127,187,123,121,119,181,188,185,54,204])).
% 1.75/1.80 cnf(780,plain,
% 1.75/1.80 (P6(f5(x7801),f21(x7801))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(782,plain,
% 1.75/1.80 (P6(x7821,f21(x7821))),
% 1.75/1.80 inference(scs_inference,[],[58,82,64,228,74,70,78,722,725,728,731,734,737,743,745,749,752,755,758,81,84,76,77,67,79,83,545,554,639,453,479,543,667,678,404,573,672,318,240,763,768,771,246,57,227,143,179,124,120,190,183,125,47,40,29,177,130,128,127,187,123,121,119,181,188,185,54,204,211,178])).
% 1.75/1.80 cnf(786,plain,
% 1.75/1.80 (P5(x7861,x7861)),
% 1.75/1.80 inference(rename_variables,[],[76])).
% 1.75/1.80 cnf(788,plain,
% 1.75/1.80 (P6(f5(x7881),f21(x7881))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(792,plain,
% 1.75/1.80 (~E(f20(a12,a12),f5(f23(f20(a1,a1))))),
% 1.75/1.80 inference(scs_inference,[],[58,82,64,228,74,70,78,722,725,728,731,734,737,743,745,749,752,755,758,81,780,84,76,786,77,741,67,79,83,418,545,554,621,639,453,479,543,667,678,404,573,672,563,318,240,763,768,771,246,511,57,227,143,179,124,120,190,183,125,47,40,29,177,130,128,127,187,123,121,119,181,188,185,54,204,211,178,53,50,220,52,41,51])).
% 1.75/1.80 cnf(798,plain,
% 1.75/1.80 (P6(f5(x7981),f21(x7981))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(799,plain,
% 1.75/1.80 (E(a11,f20(x7991,a11))),
% 1.75/1.80 inference(scs_inference,[],[58,82,64,228,74,70,78,722,725,728,731,734,737,743,745,749,752,755,758,75,81,780,788,84,76,786,85,77,741,67,79,83,418,407,408,545,554,621,639,453,479,543,667,746,678,404,573,672,563,318,240,763,768,771,246,511,57,227,143,179,124,120,190,183,125,47,40,29,177,130,128,127,187,123,121,119,181,188,185,54,204,211,178,53,50,220,52,41,51,46,3,35,28,2])).
% 1.75/1.80 cnf(800,plain,
% 1.75/1.80 (~P20(f18(a1),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[58,82,64,228,74,70,78,722,725,728,731,734,737,743,745,749,752,755,758,75,81,780,788,84,76,786,85,77,741,67,79,83,418,407,408,545,554,621,639,453,479,543,667,746,678,404,573,672,563,318,240,763,768,771,246,511,57,227,143,179,124,120,190,183,125,47,40,29,177,130,128,127,187,123,121,119,181,188,185,54,204,211,178,53,50,220,52,41,51,46,3,35,28,2,42])).
% 1.75/1.80 cnf(804,plain,
% 1.75/1.80 (P6(f5(x8041),f21(x8041))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(806,plain,
% 1.75/1.80 (~P20(f18(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[58,82,64,228,74,70,78,722,725,728,731,734,737,743,745,749,752,755,758,75,81,780,788,798,84,87,76,786,85,77,741,67,79,83,418,407,408,545,554,605,621,639,656,601,453,479,543,667,746,678,404,573,672,563,318,240,763,768,771,246,511,242,243,57,227,143,179,124,120,190,183,125,47,40,29,177,130,128,127,187,123,121,119,181,188,185,54,204,211,178,53,50,220,52,41,51,46,3,35,28,2,42,99,205,217])).
% 1.75/1.80 cnf(818,plain,
% 1.75/1.80 (~E(f20(f9(a11),f9(a11)),x8181)+P22(x8181)),
% 1.75/1.80 inference(scs_inference,[],[58,82,64,228,74,70,78,722,725,728,731,734,737,743,745,749,752,755,758,75,81,780,788,798,804,59,84,87,76,786,85,77,741,67,79,83,418,407,408,545,554,629,591,605,621,639,656,601,453,479,543,667,746,533,678,404,573,672,563,318,240,763,768,771,774,246,511,242,243,57,227,143,179,124,120,190,183,125,47,40,29,177,130,128,127,187,123,121,119,181,188,185,54,204,211,178,53,50,220,52,41,51,46,3,35,28,2,42,99,205,217,522,118,210,216,212,56])).
% 1.75/1.80 cnf(821,plain,
% 1.75/1.80 (E(x8211,f20(x8211,x8211))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(823,plain,
% 1.75/1.80 (P6(f9(x8231),x8231)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(828,plain,
% 1.75/1.80 (P6(f9(x8281),x8281)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(831,plain,
% 1.75/1.80 (E(x8311,f20(x8311,x8311))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(838,plain,
% 1.75/1.80 (E(x8381,f20(x8381,x8381))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(839,plain,
% 1.75/1.80 (~P7(x8391,f9(f21(f5(x8392))))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,228,821,831,74,78,823,828,73,79,83,477,451,748,751,777,473,240,246,57,818,205,227,180,44,179,55,43,45,204])).
% 1.75/1.80 cnf(840,plain,
% 1.75/1.80 (P6(f9(x8401),x8401)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(842,plain,
% 1.75/1.80 (~P5(a12,a11)),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,228,821,831,74,78,823,828,73,79,83,477,451,748,751,777,473,240,246,57,818,205,227,180,44,179,55,43,45,204,178])).
% 1.75/1.80 cnf(845,plain,
% 1.75/1.80 (P6(x8451,f21(x8451))),
% 1.75/1.80 inference(rename_variables,[],[782])).
% 1.75/1.80 cnf(847,plain,
% 1.75/1.80 (E(x8471,f20(x8471,x8471))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(849,plain,
% 1.75/1.80 (E(x8491,f20(x8491,x8491))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(851,plain,
% 1.75/1.80 (P20(f20(f5(f23(a1)),f5(f23(a1))),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,228,821,831,838,847,849,74,78,823,828,73,76,79,83,782,635,477,668,451,748,751,617,777,473,240,246,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41])).
% 1.75/1.80 cnf(852,plain,
% 1.75/1.80 (E(x8521,f20(x8521,x8521))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(854,plain,
% 1.75/1.80 (E(f20(x8541,x8542),f20(x8542,x8541))),
% 1.75/1.80 inference(rename_variables,[],[82])).
% 1.75/1.80 cnf(855,plain,
% 1.75/1.80 (P5(f20(f20(x8551,x8552),f20(x8551,x8552)),f20(x8552,x8551))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,82,854,228,821,831,838,847,849,74,78,823,828,73,76,79,83,233,782,635,477,668,451,744,748,751,617,777,473,240,246,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51])).
% 1.75/1.80 cnf(856,plain,
% 1.75/1.80 (~P7(a12,f20(f9(a12),f9(a12)))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,82,854,228,821,831,838,847,849,74,78,823,828,73,76,77,79,83,233,782,635,312,477,668,451,744,748,751,617,777,473,240,246,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51,46])).
% 1.75/1.80 cnf(858,plain,
% 1.75/1.80 (E(f20(x8581,a11),a11)),
% 1.75/1.80 inference(rename_variables,[],[75])).
% 1.75/1.80 cnf(859,plain,
% 1.75/1.80 (E(f20(x8591,x8592),f20(x8592,x8591))),
% 1.75/1.80 inference(rename_variables,[],[82])).
% 1.75/1.80 cnf(860,plain,
% 1.75/1.80 (P6(f20(x8601,x8602),f21(f20(x8602,x8601)))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,82,854,859,228,821,831,838,847,849,74,78,823,828,73,75,76,77,79,83,233,782,845,635,312,477,668,451,744,748,751,617,777,473,240,246,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51,46,3,28])).
% 1.75/1.80 cnf(862,plain,
% 1.75/1.80 (~E(f21(x8621),f5(x8622))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,82,854,859,228,821,831,838,847,849,74,78,823,828,73,75,76,77,79,83,233,782,845,625,635,312,477,668,451,744,748,751,617,777,473,240,246,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51,46,3,28,2])).
% 1.75/1.80 cnf(864,plain,
% 1.75/1.80 (E(x8641,f20(x8641,x8641))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(868,plain,
% 1.75/1.80 (P6(f20(f9(a12),f9(a12)),a12)),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,82,854,859,228,821,831,838,847,849,852,864,74,78,823,828,73,75,63,76,77,79,83,233,782,845,625,635,312,477,668,451,565,569,744,748,751,617,777,473,240,246,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51,46,3,28,2,42,33,32,30,143])).
% 1.75/1.80 cnf(871,plain,
% 1.75/1.80 (~P16(f18(f20(a1,a1)),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,82,854,859,228,821,831,838,847,849,852,864,74,78,823,828,73,75,63,76,77,79,83,233,782,845,625,635,654,806,312,477,668,451,565,569,744,748,751,617,777,473,605,240,246,242,243,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51,46,3,28,2,42,33,32,30,143,9,221])).
% 1.75/1.80 cnf(873,plain,
% 1.75/1.80 (P16(f5(f23(f20(a1,a1))),f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,82,854,859,228,821,831,838,847,849,852,864,74,78,823,828,73,81,75,63,76,77,79,83,233,782,845,625,635,654,806,312,477,668,451,565,569,744,748,751,617,777,473,607,605,240,246,242,243,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51,46,3,28,2,42,33,32,30,143,9,221,210])).
% 1.75/1.80 cnf(878,plain,
% 1.75/1.80 (P7(f9(f21(f15(a1))),f21(f15(a1)))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,86,82,854,859,228,821,831,838,847,849,852,864,74,78,823,828,840,73,81,75,63,76,77,79,83,233,782,845,625,635,654,806,312,477,668,451,565,569,744,748,751,617,777,402,473,607,605,240,246,242,243,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51,46,3,28,2,42,33,32,30,143,9,221,210,184,177])).
% 1.75/1.80 cnf(881,plain,
% 1.75/1.80 (E(x8811,f20(x8811,x8811))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(894,plain,
% 1.75/1.80 (P2(f20(a2,a2))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,86,82,854,859,228,821,831,838,847,849,852,864,881,74,78,823,828,840,73,81,75,858,59,63,76,77,79,83,233,782,845,625,635,654,806,593,312,575,477,668,451,565,569,744,748,751,617,777,402,473,607,605,678,240,246,242,243,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51,46,3,28,2,42,33,32,30,143,9,221,210,184,177,34,194,118,49,215,214,213,27])).
% 1.75/1.80 cnf(895,plain,
% 1.75/1.80 (E(x8951,f20(x8951,x8951))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(898,plain,
% 1.75/1.80 (P21(f20(f19(f20(a1,a1)),f19(f20(a1,a1))))),
% 1.75/1.80 inference(scs_inference,[],[58,71,61,86,82,854,859,228,821,831,838,847,849,852,864,881,895,74,78,823,828,840,73,81,75,858,59,70,63,76,77,79,83,233,782,845,625,635,654,806,593,312,575,477,668,451,565,569,744,748,751,617,777,585,402,473,607,605,678,240,246,242,243,57,818,205,227,180,44,179,55,43,45,204,178,29,52,53,50,41,35,51,46,3,28,2,42,33,32,30,143,9,221,210,184,177,34,194,118,49,215,214,213,27,206,31])).
% 1.75/1.80 cnf(902,plain,
% 1.75/1.80 (E(f21(f20(x9021,x9022)),f21(f20(x9022,x9021)))),
% 1.75/1.80 inference(scs_inference,[],[82,777,143,9])).
% 1.75/1.80 cnf(903,plain,
% 1.75/1.80 (P7(f5(x9031),f21(x9031))),
% 1.75/1.80 inference(scs_inference,[],[86,82,81,777,143,9,177])).
% 1.75/1.80 cnf(904,plain,
% 1.75/1.80 (P6(f5(x9041),f21(x9041))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(906,plain,
% 1.75/1.80 (~P6(f21(f15(a1)),f21(f5(x9061)))),
% 1.75/1.80 inference(scs_inference,[],[86,82,73,81,878,777,143,9,177,204])).
% 1.75/1.80 cnf(909,plain,
% 1.75/1.80 (E(x9091,f20(x9091,x9091))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(910,plain,
% 1.75/1.80 (P6(x9101,f21(f20(x9101,x9101)))),
% 1.75/1.80 inference(scs_inference,[],[86,82,228,73,81,904,234,878,777,143,9,177,204,29,178])).
% 1.75/1.80 cnf(913,plain,
% 1.75/1.80 (~P5(a12,f20(x9131,a11))),
% 1.75/1.80 inference(scs_inference,[],[86,82,228,73,75,81,904,234,873,871,878,842,777,143,9,177,204,29,178,52,51])).
% 1.75/1.80 cnf(914,plain,
% 1.75/1.80 (~P5(f20(a12,a12),a11)),
% 1.75/1.80 inference(scs_inference,[],[86,82,228,73,75,81,904,77,234,873,871,878,842,777,143,9,177,204,29,178,52,51,50])).
% 1.75/1.80 cnf(917,plain,
% 1.75/1.80 (E(x9171,f20(x9171,x9171))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(921,plain,
% 1.75/1.80 (P6(f9(x9211),x9211)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(922,plain,
% 1.75/1.80 (~E(f20(f21(x9221),f21(x9221)),f5(x9222))),
% 1.75/1.80 inference(scs_inference,[],[86,82,228,909,917,78,73,75,81,904,70,77,234,862,873,871,457,851,878,800,842,777,143,9,177,204,29,178,52,51,50,53,41,35,28,3])).
% 1.75/1.80 cnf(923,plain,
% 1.75/1.80 (E(x9231,f20(x9231,x9231))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(924,plain,
% 1.75/1.80 (E(f6(x9241),f6(f20(x9241,x9241)))),
% 1.75/1.80 inference(scs_inference,[],[86,82,228,909,917,78,73,75,81,904,70,77,234,406,862,873,871,457,851,878,800,842,777,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2])).
% 1.75/1.80 cnf(925,plain,
% 1.75/1.80 (P7(f5(f20(x9251,x9251)),f21(x9251))),
% 1.75/1.80 inference(scs_inference,[],[86,82,228,909,917,78,73,75,81,904,70,77,234,406,422,862,873,871,457,851,878,800,842,777,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46])).
% 1.75/1.80 cnf(937,plain,
% 1.75/1.80 (~P10(f21(x9371))),
% 1.75/1.80 inference(rename_variables,[],[86])).
% 1.75/1.80 cnf(945,plain,
% 1.75/1.80 (P21(f20(x9451,a12))),
% 1.75/1.80 inference(scs_inference,[],[86,82,69,228,909,917,923,78,73,75,81,904,59,70,77,234,406,422,862,898,873,871,457,449,851,483,878,800,842,459,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172])).
% 1.75/1.80 cnf(953,plain,
% 1.75/1.80 (P21(f15(a2))),
% 1.75/1.80 inference(scs_inference,[],[86,82,69,228,909,917,923,78,73,75,81,904,59,70,77,234,406,422,862,898,873,871,457,449,851,483,878,800,842,676,459,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97])).
% 1.75/1.80 cnf(955,plain,
% 1.75/1.80 (P17(f15(a2))),
% 1.75/1.80 inference(scs_inference,[],[86,82,69,228,909,917,923,78,73,75,81,904,59,70,77,234,406,422,862,898,873,871,457,449,851,483,878,800,842,676,459,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96])).
% 1.75/1.80 cnf(959,plain,
% 1.75/1.80 (P17(f20(f19(f20(a1,a1)),x9591))),
% 1.75/1.80 inference(scs_inference,[],[86,82,69,228,909,917,923,78,73,75,81,904,59,70,77,234,406,422,862,898,873,871,587,457,449,851,483,878,800,842,676,459,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96,90,169])).
% 1.75/1.80 cnf(977,plain,
% 1.75/1.80 (P3(f20(f5(x9771),x9772))),
% 1.75/1.80 inference(scs_inference,[],[86,82,69,228,909,917,923,78,73,75,81,904,59,70,77,234,406,422,862,898,873,871,587,457,449,851,483,878,800,842,400,567,676,322,459,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96,90,169,168,159,151,150,162,156,148,154,147])).
% 1.75/1.80 cnf(983,plain,
% 1.75/1.80 (E(f19(f20(a1,a1)),a11)),
% 1.75/1.80 inference(scs_inference,[],[86,82,69,228,909,917,923,78,73,75,81,904,59,70,77,234,406,422,862,898,873,871,583,587,457,449,851,483,878,800,475,842,400,567,676,322,459,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96,90,169,168,159,151,150,162,156,148,154,147,146,144,88])).
% 1.75/1.80 cnf(985,plain,
% 1.75/1.80 (P5(f9(f21(x9851)),x9851)),
% 1.75/1.80 inference(scs_inference,[],[86,82,69,228,909,917,923,78,921,73,75,81,904,59,70,77,234,406,422,862,898,873,871,583,587,457,449,851,483,878,800,475,842,400,567,676,322,459,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96,90,169,168,159,151,150,162,156,148,154,147,146,144,88,196])).
% 1.75/1.80 cnf(990,plain,
% 1.75/1.80 (P17(f15(f20(a2,a2)))),
% 1.75/1.80 inference(scs_inference,[],[86,82,69,228,909,917,923,78,921,73,75,81,904,59,70,77,234,406,422,862,898,873,871,583,587,457,449,851,483,878,800,475,894,842,400,567,676,322,459,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96,90,169,168,159,151,150,162,156,148,154,147,146,144,88,196,104,103])).
% 1.75/1.80 cnf(1000,plain,
% 1.75/1.80 (E(f9(f20(x10001,x10002)),f9(f20(x10002,x10001)))),
% 1.75/1.80 inference(scs_inference,[],[86,82,69,228,909,917,923,78,921,73,75,81,904,59,70,77,234,406,422,862,898,873,871,583,587,457,449,851,483,878,800,475,894,842,400,567,676,322,459,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96,90,169,168,159,151,150,162,156,148,154,147,146,144,88,196,104,103,100,22,18,15,14,12,10,8])).
% 1.75/1.80 cnf(1017,plain,
% 1.75/1.80 (P17(f20(f9(f21(a12)),x10171))),
% 1.75/1.80 inference(scs_inference,[],[86,937,82,69,228,909,917,923,78,921,73,75,81,904,59,70,77,234,406,422,862,898,873,871,583,587,457,449,851,483,878,800,475,674,719,894,842,400,567,676,322,782,459,672,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96,90,169,168,159,151,150,162,156,148,154,147,146,144,88,196,104,103,100,22,18,15,14,12,10,8,7,195,117,205,30,32,194,45,116,173,171])).
% 1.75/1.80 cnf(1023,plain,
% 1.75/1.80 (P9(f20(x10231,f5(x10232)))),
% 1.75/1.80 inference(scs_inference,[],[86,937,82,69,228,909,917,923,78,921,73,75,81,904,59,70,77,234,406,422,862,898,873,871,583,587,457,449,851,483,878,800,475,674,719,894,842,400,567,676,322,316,782,459,672,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96,90,169,168,159,151,150,162,156,148,154,147,146,144,88,196,104,103,100,22,18,15,14,12,10,8,7,195,117,205,30,32,194,45,116,173,171,170,166,160])).
% 1.75/1.80 cnf(1055,plain,
% 1.75/1.80 (E(f5(f20(x10551,x10552)),f5(f20(x10552,x10551)))),
% 1.75/1.80 inference(scs_inference,[],[86,937,82,69,228,909,917,923,78,921,73,75,81,904,59,70,77,234,406,422,862,898,873,871,583,587,457,449,851,483,878,800,475,674,719,894,842,400,567,676,322,316,782,459,672,777,57,58,143,9,177,204,29,178,52,51,50,53,41,35,28,3,2,46,42,223,95,98,113,106,105,102,101,172,167,161,153,97,96,90,169,168,159,151,150,162,156,148,154,147,146,144,88,196,104,103,100,22,18,15,14,12,10,8,7,195,117,205,30,32,194,45,116,173,171,170,166,160,152,165,164,158,163,157,149,155,145,25,24,23,21,20,19,17,16,13,11,6,5,4])).
% 1.75/1.80 cnf(1062,plain,
% 1.75/1.80 (~P6(f20(a12,a12),f21(a11))),
% 1.75/1.80 inference(scs_inference,[],[914,196])).
% 1.75/1.80 cnf(1065,plain,
% 1.75/1.80 (P6(x10651,f21(f20(x10651,x10651)))),
% 1.75/1.80 inference(rename_variables,[],[910])).
% 1.75/1.80 cnf(1070,plain,
% 1.75/1.80 (E(x10701,f20(x10701,x10701))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1073,plain,
% 1.75/1.80 (P10(f9(f21(f5(x10731))))),
% 1.75/1.80 inference(scs_inference,[],[74,228,78,79,83,415,910,925,839,662,577,505,497,914,57,58,196,205,227,39,38,177])).
% 1.75/1.80 cnf(1075,plain,
% 1.75/1.80 (P6(f9(x10751),x10751)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1081,plain,
% 1.75/1.80 (P6(f9(x10811),f20(x10811,x10811))),
% 1.75/1.80 inference(scs_inference,[],[74,228,1070,78,1075,77,79,83,415,910,1065,925,839,662,577,505,856,497,914,57,58,196,205,227,39,38,177,204,45,29])).
% 1.75/1.80 cnf(1082,plain,
% 1.75/1.80 (E(x10821,f20(x10821,x10821))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1086,plain,
% 1.75/1.80 (P5(x10861,x10861)),
% 1.75/1.80 inference(rename_variables,[],[76])).
% 1.75/1.80 cnf(1087,plain,
% 1.75/1.80 (~E(f20(a12,a12),a11)),
% 1.75/1.80 inference(scs_inference,[],[74,228,1070,78,1075,75,76,1086,77,79,83,415,910,1065,925,839,662,577,505,856,497,906,914,57,58,196,205,227,39,38,177,204,45,29,178,50,51])).
% 1.75/1.80 cnf(1091,plain,
% 1.75/1.80 (~P6(f21(f20(f15(a1),f15(a1))),f21(f5(x10911)))),
% 1.75/1.80 inference(scs_inference,[],[74,228,1070,78,1075,75,76,1086,77,79,83,415,421,910,1065,925,839,662,603,577,505,856,497,906,914,422,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28])).
% 1.75/1.80 cnf(1094,plain,
% 1.75/1.80 (E(x10941,f20(x10941,x10941))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1095,plain,
% 1.75/1.80 (~E(f5(x10951),f20(f21(x10952),f21(x10952)))),
% 1.75/1.80 inference(scs_inference,[],[74,228,1070,1082,78,1075,75,76,1086,77,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,914,422,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2])).
% 1.75/1.80 cnf(1100,plain,
% 1.75/1.80 (P12(f9(f20(x11001,a12)))),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,78,1075,75,76,1086,77,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,914,422,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129])).
% 1.75/1.80 cnf(1101,plain,
% 1.75/1.80 (P6(f9(x11011),x11011)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1103,plain,
% 1.75/1.80 (P14(f9(f20(x11031,a12)))),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,78,1075,1101,75,76,1086,77,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,914,422,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129,126])).
% 1.75/1.80 cnf(1104,plain,
% 1.75/1.80 (P6(f9(x11041),x11041)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1106,plain,
% 1.75/1.80 (P1(f20(f20(a1,a1),f20(a1,a1)))),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,1094,78,1075,1101,75,76,1086,77,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,914,422,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129,126,26])).
% 1.75/1.80 cnf(1107,plain,
% 1.75/1.80 (E(x11071,f20(x11071,x11071))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1109,plain,
% 1.75/1.80 (P6(f9(x11091),x11091)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1111,plain,
% 1.75/1.80 (P17(f6(a12))),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,1094,78,1075,1101,1104,75,69,76,1086,77,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,914,422,430,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129,126,26,122,192])).
% 1.75/1.80 cnf(1116,plain,
% 1.75/1.80 (P15(f6(a12))),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,1094,78,1075,1101,1104,75,69,76,1086,66,77,67,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,914,422,430,240,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129,126,26,122,192,191,189])).
% 1.75/1.80 cnf(1118,plain,
% 1.75/1.80 (P21(f6(a12))),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,1094,78,1075,1101,1104,75,69,76,1086,66,77,67,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,914,422,430,240,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129,126,26,122,192,191,189,193])).
% 1.75/1.80 cnf(1121,plain,
% 1.75/1.80 (P6(f9(x11211),x11211)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1123,plain,
% 1.75/1.80 (P8(f9(f20(x11231,a12)))),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,1094,78,1075,1101,1104,1109,1121,75,69,76,1086,66,77,67,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,914,422,430,240,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129,126,26,122,192,191,189,193,132,131])).
% 1.75/1.80 cnf(1126,plain,
% 1.75/1.80 (P11(f20(a13,a13),a1)),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,1094,1107,78,1075,1101,1104,1109,1121,75,69,76,1086,66,77,67,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,914,422,430,240,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129,126,26,122,192,191,189,193,132,131,48])).
% 1.75/1.80 cnf(1128,plain,
% 1.75/1.80 (~P4(f20(a4,a4))+~P10(f23(f20(a4,a4)))),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,1094,1107,78,1075,1101,1104,1109,1121,75,69,76,1086,66,77,67,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,740,914,422,430,240,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129,126,26,122,192,191,189,193,132,131,48,114])).
% 1.75/1.80 cnf(1130,plain,
% 1.75/1.80 (~P4(f20(a4,a4))+P6(f7(f20(a4,a4)),f21(f23(f20(a4,a4))))),
% 1.75/1.80 inference(scs_inference,[],[74,229,228,1070,1082,1094,1107,78,1075,1101,1104,1109,1121,75,69,76,1086,66,77,67,79,83,415,421,910,1065,925,922,839,662,603,577,505,856,497,906,945,740,914,422,430,240,593,575,242,243,57,58,196,205,227,39,38,177,204,45,29,178,50,51,35,28,3,2,46,223,129,126,26,122,192,191,189,193,132,131,48,114,197])).
% 1.75/1.80 cnf(1151,plain,
% 1.75/1.80 (P15(f15(f20(a2,a2)))),
% 1.75/1.80 inference(scs_inference,[],[79,1073,990,782,225,92,93])).
% 1.75/1.80 cnf(1155,plain,
% 1.75/1.80 (P15(f6(f20(a12,a12)))),
% 1.75/1.80 inference(scs_inference,[],[79,924,1073,990,1116,782,225,92,93,89,33])).
% 1.75/1.80 cnf(1159,plain,
% 1.75/1.80 (P6(f24(a1,a14),f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[79,80,924,1073,434,990,1116,782,236,58,225,92,93,89,33,114,218])).
% 1.75/1.80 cnf(1164,plain,
% 1.75/1.80 (P6(f5(x11641),f21(x11641))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(1169,plain,
% 1.75/1.80 (P6(f9(f20(x11691,x11691)),x11691)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(1171,plain,
% 1.75/1.80 (P19(a11,f20(a1,a1))),
% 1.75/1.80 inference(scs_inference,[],[79,81,228,69,80,924,1073,434,485,990,1116,670,782,240,236,58,225,92,93,89,33,114,218,219,226,224,190,37])).
% 1.75/1.80 cnf(1172,plain,
% 1.75/1.80 (E(x11721,f20(x11721,x11721))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1182,plain,
% 1.75/1.80 (P6(f9(f20(x11821,x11821)),x11821)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(1185,plain,
% 1.75/1.80 (P6(f9(f20(x11851,x11851)),x11851)),
% 1.75/1.80 inference(rename_variables,[],[240])).
% 1.75/1.80 cnf(1187,plain,
% 1.75/1.80 (~P18(f20(a4,f20(a4,a4)))),
% 1.75/1.80 inference(scs_inference,[],[79,81,228,66,69,80,924,1081,1073,959,434,485,990,1116,670,425,740,782,240,1169,1182,236,58,225,92,93,89,33,114,218,219,226,224,190,37,115,197,130,128,187,40])).
% 1.75/1.80 cnf(1190,plain,
% 1.75/1.80 (E(x11901,f20(x11901,x11901))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1196,plain,
% 1.75/1.80 (P7(a13,f21(f23(a1)))),
% 1.75/1.80 inference(scs_inference,[],[79,86,81,1164,228,1172,1190,66,69,80,83,924,1081,1073,633,959,434,455,485,990,626,1116,1126,670,481,425,740,782,240,1169,1182,236,57,58,225,92,93,89,33,114,218,219,226,224,190,37,115,197,130,128,187,40,36,196,227,38,177])).
% 1.75/1.80 cnf(1202,plain,
% 1.75/1.80 (P7(f5(f20(x12021,x12022)),f21(f20(x12022,x12021)))),
% 1.75/1.80 inference(scs_inference,[],[79,86,81,1164,228,1172,1190,70,66,69,77,80,83,924,1081,1055,1073,633,959,434,455,485,990,626,1116,1126,670,481,903,425,740,782,240,1169,1182,1185,236,57,58,225,92,93,89,33,114,218,219,226,224,190,37,115,197,130,128,187,40,36,196,227,38,177,39,204,45])).
% 1.75/1.80 cnf(1205,plain,
% 1.75/1.80 (P6(f20(x12051,x12052),f21(f20(x12052,x12051)))),
% 1.75/1.80 inference(rename_variables,[],[860])).
% 1.75/1.80 cnf(1206,plain,
% 1.75/1.80 (P6(f20(f20(x12061,x12062),f20(x12061,x12062)),f21(f20(x12062,x12061)))),
% 1.75/1.80 inference(scs_inference,[],[79,86,81,1164,228,1172,1190,70,66,69,77,80,83,855,924,1081,1055,1073,633,959,434,455,485,990,1062,626,1116,1126,670,481,903,425,860,740,782,240,1169,1182,1185,236,57,58,225,92,93,89,33,114,218,219,226,224,190,37,115,197,130,128,187,40,36,196,227,38,177,39,204,45,29,178])).
% 1.75/1.80 cnf(1213,plain,
% 1.75/1.80 (E(f20(x12131,a11),a11)),
% 1.75/1.80 inference(rename_variables,[],[75])).
% 1.75/1.80 cnf(1224,plain,
% 1.75/1.80 (P13(f20(f9(a12),f9(a12)))),
% 1.75/1.80 inference(scs_inference,[],[79,86,81,1164,228,1172,1190,70,75,1213,66,69,77,67,80,83,413,855,924,1081,1055,1073,633,959,434,868,455,531,485,990,1062,626,1087,1116,913,1126,670,481,423,903,425,860,1205,583,740,782,240,1169,1182,1185,236,57,58,225,92,93,89,33,114,218,219,226,224,190,37,115,197,130,128,187,40,36,196,227,38,177,39,204,45,29,178,51,50,35,28,3,2,46,94,120,125,122])).
% 1.75/1.80 cnf(1226,plain,
% 1.75/1.80 (P23(f24(a1,a14),a1)),
% 1.75/1.80 inference(scs_inference,[],[79,86,81,1164,228,1172,1190,70,75,1213,66,69,77,67,80,83,413,855,924,1081,1055,1073,633,959,434,868,455,531,485,990,1062,626,1087,1116,913,1126,670,481,423,903,425,860,1205,583,740,782,240,1169,1182,1185,236,57,58,225,92,93,89,33,114,218,219,226,224,190,37,115,197,130,128,187,40,36,196,227,38,177,39,204,45,29,178,51,50,35,28,3,2,46,94,120,125,122,211])).
% 1.75/1.80 cnf(1260,plain,
% 1.75/1.80 (P6(f9(x12601),x12601)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1263,plain,
% 1.75/1.80 (P6(f9(x12631),x12631)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1266,plain,
% 1.75/1.80 (P6(f9(f20(x12661,x12662)),f20(x12662,x12661))),
% 1.75/1.80 inference(rename_variables,[],[742])).
% 1.75/1.80 cnf(1271,plain,
% 1.75/1.80 (P6(f5(x12711),f21(x12711))),
% 1.75/1.80 inference(rename_variables,[],[81])).
% 1.75/1.80 cnf(1277,plain,
% 1.75/1.80 (P6(f9(x12771),f20(x12771,x12771))),
% 1.75/1.80 inference(rename_variables,[],[1081])).
% 1.75/1.80 cnf(1278,plain,
% 1.75/1.80 (P9(f20(x12781,f5(x12782)))),
% 1.75/1.80 inference(rename_variables,[],[1023])).
% 1.75/1.80 cnf(1280,plain,
% 1.75/1.80 (P14(f9(f5(x12801)))),
% 1.75/1.80 inference(scs_inference,[],[79,72,78,1260,81,228,1000,977,1023,1278,487,1103,955,330,1081,1277,742,118,182,126,47,226,219,44,119,123])).
% 1.75/1.80 cnf(1281,plain,
% 1.75/1.80 (P6(f9(x12811),f20(x12811,x12811))),
% 1.75/1.80 inference(rename_variables,[],[1081])).
% 1.75/1.80 cnf(1282,plain,
% 1.75/1.80 (P9(f20(x12821,f5(x12822)))),
% 1.75/1.80 inference(rename_variables,[],[1023])).
% 1.75/1.80 cnf(1286,plain,
% 1.75/1.80 (P10(f5(x12861))),
% 1.75/1.80 inference(rename_variables,[],[73])).
% 1.75/1.80 cnf(1310,plain,
% 1.75/1.80 (P7(f5(x13101),f21(f20(x13101,x13101)))),
% 1.75/1.80 inference(scs_inference,[],[79,72,86,78,1260,81,1271,73,1286,228,77,80,59,83,1000,1202,977,1023,1278,1091,487,1103,283,1171,1196,955,427,799,611,330,1081,1277,626,913,1126,910,742,740,57,58,118,182,126,47,226,219,44,119,123,206,224,205,143,37,220,196,115,36,227,177,204,45])).
% 1.75/1.80 cnf(1315,plain,
% 1.75/1.80 (P6(f20(f20(x13151,x13152),f20(x13151,x13152)),f21(f20(x13152,x13151)))),
% 1.75/1.80 inference(rename_variables,[],[1206])).
% 1.75/1.80 cnf(1318,plain,
% 1.75/1.80 (E(x13181,f20(x13181,x13181))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1322,plain,
% 1.75/1.80 (E(x13221,f20(x13221,x13221))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1324,plain,
% 1.75/1.80 (E(x13241,f20(x13241,x13241))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1337,plain,
% 1.75/1.80 (P6(f20(f20(x13371,x13372),f20(x13371,x13372)),f21(f20(x13372,x13371)))),
% 1.75/1.80 inference(rename_variables,[],[1206])).
% 1.75/1.80 cnf(1355,plain,
% 1.75/1.80 (E(f6(x13551),f6(f20(x13551,x13551)))),
% 1.75/1.80 inference(rename_variables,[],[924])).
% 1.75/1.80 cnf(1359,plain,
% 1.75/1.80 (P17(f6(f20(a12,a12)))),
% 1.75/1.80 inference(scs_inference,[],[79,229,72,85,86,78,1260,1263,81,1271,73,1286,228,1318,1322,1324,76,77,80,59,83,1206,1315,1337,902,985,1000,1202,1095,977,1023,1278,1282,1155,1224,792,1091,487,1017,1103,283,1171,983,1196,447,955,1111,1118,427,799,611,330,924,1355,1081,1277,1281,626,913,1126,910,481,742,1266,740,782,240,57,58,118,182,126,47,226,219,44,119,123,206,224,205,143,37,220,196,115,36,227,177,204,45,178,29,50,51,35,28,3,46,2,1130,1128,225,216,120,180,129,124,121,125,184,54,194,31,131,34])).
% 1.75/1.80 cnf(1380,plain,
% 1.75/1.80 (E(x13801,f20(x13801,x13801))),
% 1.75/1.80 inference(rename_variables,[],[228])).
% 1.75/1.80 cnf(1382,plain,
% 1.75/1.80 (P6(f9(x13821),x13821)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1385,plain,
% 1.75/1.80 (E(f9(f20(x13851,x13852)),f9(f20(x13852,x13851)))),
% 1.75/1.80 inference(rename_variables,[],[1000])).
% 1.75/1.80 cnf(1387,plain,
% 1.75/1.80 (P6(f9(x13871),x13871)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1392,plain,
% 1.75/1.80 (P6(f9(x13921),x13921)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1395,plain,
% 1.75/1.80 (P6(f9(x13951),x13951)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1398,plain,
% 1.75/1.80 (P6(f9(x13981),x13981)),
% 1.75/1.80 inference(rename_variables,[],[78])).
% 1.75/1.80 cnf(1410,plain,
% 1.75/1.80 ($false),
% 1.75/1.80 inference(scs_inference,[],[80,87,78,1382,1387,1392,1395,1398,228,1380,77,83,1310,1280,1359,1100,1123,1159,1151,1187,1226,953,255,1000,1385,1062,1106,74,79,57,58,26,127,43,190,55,130,128,205,187,47,40,143,196,227]),
% 1.75/1.80 ['proof']).
% 1.75/1.80 % SZS output end Proof
% 1.75/1.80 % Total time :1.140000s
%------------------------------------------------------------------------------