TSTP Solution File: TOP025+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 05:53:24 EDT 2023
% Result : Theorem 0.81s 0.93s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 23:15:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.53 start to proof:theBenchmark
% 0.81/0.91 %-------------------------------------------
% 0.81/0.91 % File :CSE---1.6
% 0.81/0.91 % Problem :theBenchmark
% 0.81/0.91 % Transform :cnf
% 0.81/0.91 % Format :tptp:raw
% 0.81/0.91 % Command :java -jar mcs_scs.jar %d %s
% 0.81/0.91
% 0.81/0.91 % Result :Theorem 0.300000s
% 0.81/0.91 % Output :CNFRefutation 0.300000s
% 0.81/0.91 %-------------------------------------------
% 0.81/0.92 %------------------------------------------------------------------------------
% 0.81/0.92 % File : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.81/0.92 % Domain : Topology
% 0.81/0.92 % Problem : Maximal Kolmogorov Subspaces of a Topological Space T03
% 0.81/0.92 % Version : [Urb08] axioms : Especial.
% 0.81/0.92 % English :
% 0.81/0.92
% 0.81/0.92 % Refs : [Kar96] Karno (1996), Maximal Kolmogorov Subspaces of a Topolo
% 0.81/0.92 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.81/0.92 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.81/0.92 % Source : [Urb08]
% 0.81/0.92 % Names : t3_tsp_2 [Urb08]
% 0.81/0.92
% 0.81/0.92 % Status : Theorem
% 0.81/0.92 % Rating : 0.19 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.13 v7.3.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.20 v6.0.0, 0.09 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.33 v5.2.0, 0.20 v5.1.0, 0.29 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.29 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0
% 0.81/0.92 % Syntax : Number of formulae : 61 ( 10 unt; 0 def)
% 0.81/0.92 % Number of atoms : 248 ( 6 equ)
% 0.81/0.92 % Maximal formula atoms : 15 ( 4 avg)
% 0.81/0.92 % Number of connectives : 212 ( 25 ~; 2 |; 111 &)
% 0.81/0.92 % ( 3 <=>; 71 =>; 0 <=; 0 <~>)
% 0.81/0.92 % Maximal formula depth : 15 ( 5 avg)
% 0.81/0.92 % Maximal term depth : 3 ( 1 avg)
% 0.81/0.92 % Number of predicates : 27 ( 25 usr; 1 prp; 0-2 aty)
% 0.81/0.92 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.81/0.92 % Number of variables : 99 ( 84 !; 15 ?)
% 0.81/0.92 % SPC : FOF_THM_RFO_SEQ
% 0.81/0.92
% 0.81/0.92 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.81/0.92 % other articles) and background that are possibly necessary.
% 0.81/0.92 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.81/0.92 % : The problem encoding is based on set theory.
% 0.81/0.92 %------------------------------------------------------------------------------
% 0.81/0.92 fof(t3_tsp_2,conjecture,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( ~ v3_struct_0(A)
% 0.81/0.92 & v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 => ~ ( ( v3_pre_topc(B,A)
% 0.81/0.92 | v4_pre_topc(B,A) )
% 0.81/0.92 & v1_tsp_2(B,A)
% 0.81/0.92 & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(antisymmetry_r2_hidden,axiom,
% 0.81/0.92 ! [A,B] :
% 0.81/0.92 ( r2_hidden(A,B)
% 0.81/0.92 => ~ r2_hidden(B,A) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc10_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v1_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,A)
% 0.81/0.92 => v1_xcmplx_0(B) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc11_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v2_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,A)
% 0.81/0.92 => ( v1_xcmplx_0(B)
% 0.81/0.92 & v1_xreal_0(B) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc12_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v3_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,A)
% 0.81/0.92 => ( v1_xcmplx_0(B)
% 0.81/0.92 & v1_xreal_0(B)
% 0.81/0.92 & v1_rat_1(B) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc13_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v4_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,A)
% 0.81/0.92 => ( v1_xcmplx_0(B)
% 0.81/0.92 & v1_xreal_0(B)
% 0.81/0.92 & v1_int_1(B)
% 0.81/0.92 & v1_rat_1(B) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc14_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v5_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,A)
% 0.81/0.92 => ( v1_xcmplx_0(B)
% 0.81/0.92 & v4_ordinal2(B)
% 0.81/0.92 & v1_xreal_0(B)
% 0.81/0.92 & v1_int_1(B)
% 0.81/0.92 & v1_rat_1(B) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc15_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v1_xboole_0(A)
% 0.81/0.92 => ( v1_membered(A)
% 0.81/0.92 & v2_membered(A)
% 0.81/0.92 & v3_membered(A)
% 0.81/0.92 & v4_membered(A)
% 0.81/0.92 & v5_membered(A) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc16_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v1_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.81/0.92 => v1_membered(B) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc17_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v2_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.81/0.92 => ( v1_membered(B)
% 0.81/0.92 & v2_membered(B) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc18_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v3_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.81/0.92 => ( v1_membered(B)
% 0.81/0.92 & v2_membered(B)
% 0.81/0.92 & v3_membered(B) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc19_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v4_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.81/0.92 => ( v1_membered(B)
% 0.81/0.92 & v2_membered(B)
% 0.81/0.92 & v3_membered(B)
% 0.81/0.92 & v4_membered(B) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc1_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v5_membered(A)
% 0.81/0.92 => v4_membered(A) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc1_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 => ( v1_xboole_0(B)
% 0.81/0.92 => ( v3_pre_topc(B,A)
% 0.81/0.92 & v4_pre_topc(B,A) ) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc20_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v5_membered(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.81/0.92 => ( v1_membered(B)
% 0.81/0.92 & v2_membered(B)
% 0.81/0.92 & v3_membered(B)
% 0.81/0.92 & v4_membered(B)
% 0.81/0.92 & v5_membered(B) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc2_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v4_membered(A)
% 0.81/0.92 => v3_membered(A) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc2_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( l1_pre_topc(A)
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 => ( v1_xboole_0(B)
% 0.81/0.92 => v2_tops_1(B,A) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc3_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v3_membered(A)
% 0.81/0.92 => v2_membered(A) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc3_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 => ( v1_xboole_0(B)
% 0.81/0.92 => v3_tops_1(B,A) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc4_membered,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( v2_membered(A)
% 0.81/0.92 => v1_membered(A) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc4_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 => ( v3_tops_1(B,A)
% 0.81/0.92 => v2_tops_1(B,A) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc5_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 => ( ( v4_pre_topc(B,A)
% 0.81/0.92 & v2_tops_1(B,A) )
% 0.81/0.92 => ( v2_tops_1(B,A)
% 0.81/0.92 & v3_tops_1(B,A) ) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(cc6_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 => ( ( v3_pre_topc(B,A)
% 0.81/0.92 & v3_tops_1(B,A) )
% 0.81/0.92 => ( v1_xboole_0(B)
% 0.81/0.92 & v3_pre_topc(B,A)
% 0.81/0.92 & v4_pre_topc(B,A)
% 0.81/0.92 & v1_membered(B)
% 0.81/0.92 & v2_membered(B)
% 0.81/0.92 & v3_membered(B)
% 0.81/0.92 & v4_membered(B)
% 0.81/0.92 & v5_membered(B)
% 0.81/0.92 & v2_tops_1(B,A)
% 0.81/0.92 & v3_tops_1(B,A) ) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(d5_tsp_2,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( ~ v3_struct_0(A)
% 0.81/0.92 & v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ! [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 => ( v1_tsp_2(B,A)
% 0.81/0.92 <=> ( v1_tsp_1(B,A)
% 0.81/0.92 & k3_tex_4(A,B) = u1_struct_0(A) ) ) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(dt_k1_xboole_0,axiom,
% 0.81/0.92 $true ).
% 0.81/0.92
% 0.81/0.92 fof(dt_k1_zfmisc_1,axiom,
% 0.81/0.92 $true ).
% 0.81/0.92
% 0.81/0.92 fof(dt_k3_tex_4,axiom,
% 0.81/0.92 ! [A,B] :
% 0.81/0.92 ( ( ~ v3_struct_0(A)
% 0.81/0.92 & l1_pre_topc(A)
% 0.81/0.92 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 0.81/0.92 => m1_subset_1(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ).
% 0.81/0.92
% 0.81/0.92 fof(dt_l1_pre_topc,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( l1_pre_topc(A)
% 0.81/0.92 => l1_struct_0(A) ) ).
% 0.81/0.92
% 0.81/0.92 fof(dt_l1_struct_0,axiom,
% 0.81/0.92 $true ).
% 0.81/0.92
% 0.81/0.92 fof(dt_m1_subset_1,axiom,
% 0.81/0.92 $true ).
% 0.81/0.92
% 0.81/0.92 fof(dt_u1_struct_0,axiom,
% 0.81/0.92 $true ).
% 0.81/0.92
% 0.81/0.92 fof(existence_l1_pre_topc,axiom,
% 0.81/0.92 ? [A] : l1_pre_topc(A) ).
% 0.81/0.92
% 0.81/0.92 fof(existence_l1_struct_0,axiom,
% 0.81/0.92 ? [A] : l1_struct_0(A) ).
% 0.81/0.92
% 0.81/0.92 fof(existence_m1_subset_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ? [B] : m1_subset_1(B,A) ).
% 0.81/0.92
% 0.81/0.92 fof(fc1_struct_0,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( ~ v3_struct_0(A)
% 0.81/0.92 & l1_struct_0(A) )
% 0.81/0.92 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 0.81/0.92
% 0.81/0.92 fof(fc1_subset_1,axiom,
% 0.81/0.92 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 0.81/0.92
% 0.81/0.92 fof(fc6_membered,axiom,
% 0.81/0.92 ( v1_xboole_0(k1_xboole_0)
% 0.81/0.92 & v1_membered(k1_xboole_0)
% 0.81/0.92 & v2_membered(k1_xboole_0)
% 0.81/0.92 & v3_membered(k1_xboole_0)
% 0.81/0.92 & v4_membered(k1_xboole_0)
% 0.81/0.92 & v5_membered(k1_xboole_0) ) ).
% 0.81/0.92
% 0.81/0.92 fof(rc1_membered,axiom,
% 0.81/0.92 ? [A] :
% 0.81/0.92 ( ~ v1_xboole_0(A)
% 0.81/0.92 & v1_membered(A)
% 0.81/0.92 & v2_membered(A)
% 0.81/0.92 & v3_membered(A)
% 0.81/0.92 & v4_membered(A)
% 0.81/0.92 & v5_membered(A) ) ).
% 0.81/0.92
% 0.81/0.92 fof(rc1_subset_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ~ v1_xboole_0(A)
% 0.81/0.92 => ? [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.81/0.92 & ~ v1_xboole_0(B) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(rc1_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ? [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 & v3_pre_topc(B,A) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(rc2_subset_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ? [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.81/0.92 & v1_xboole_0(B) ) ).
% 0.81/0.92
% 0.81/0.92 fof(rc2_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ? [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 & v3_pre_topc(B,A)
% 0.81/0.92 & v4_pre_topc(B,A) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(rc3_struct_0,axiom,
% 0.81/0.92 ? [A] :
% 0.81/0.92 ( l1_struct_0(A)
% 0.81/0.92 & ~ v3_struct_0(A) ) ).
% 0.81/0.92
% 0.81/0.92 fof(rc3_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( ~ v3_struct_0(A)
% 0.81/0.92 & v2_pre_topc(A)
% 0.81/0.92 & l1_pre_topc(A) )
% 0.81/0.92 => ? [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 & ~ v1_xboole_0(B)
% 0.81/0.92 & v3_pre_topc(B,A)
% 0.81/0.92 & v4_pre_topc(B,A) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(rc4_tops_1,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( l1_pre_topc(A)
% 0.81/0.92 => ? [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.92 & v1_xboole_0(B)
% 0.81/0.92 & v1_membered(B)
% 0.81/0.92 & v2_membered(B)
% 0.81/0.92 & v3_membered(B)
% 0.81/0.92 & v4_membered(B)
% 0.81/0.92 & v5_membered(B)
% 0.81/0.92 & v2_tops_1(B,A) ) ) ).
% 0.81/0.92
% 0.81/0.92 fof(rc5_struct_0,axiom,
% 0.81/0.92 ! [A] :
% 0.81/0.92 ( ( ~ v3_struct_0(A)
% 0.81/0.92 & l1_struct_0(A) )
% 0.81/0.92 => ? [B] :
% 0.81/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.93 & ~ v1_xboole_0(B) ) ) ).
% 0.81/0.93
% 0.81/0.93 fof(rc5_tops_1,axiom,
% 0.81/0.93 ! [A] :
% 0.81/0.93 ( ( v2_pre_topc(A)
% 0.81/0.93 & l1_pre_topc(A) )
% 0.81/0.93 => ? [B] :
% 0.81/0.93 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.93 & v1_xboole_0(B)
% 0.81/0.93 & v3_pre_topc(B,A)
% 0.81/0.93 & v4_pre_topc(B,A)
% 0.81/0.93 & v1_membered(B)
% 0.81/0.93 & v2_membered(B)
% 0.81/0.93 & v3_membered(B)
% 0.81/0.93 & v4_membered(B)
% 0.81/0.93 & v5_membered(B)
% 0.81/0.93 & v2_tops_1(B,A)
% 0.81/0.93 & v3_tops_1(B,A) ) ) ).
% 0.81/0.93
% 0.81/0.93 fof(rc6_pre_topc,axiom,
% 0.81/0.93 ! [A] :
% 0.81/0.93 ( ( v2_pre_topc(A)
% 0.81/0.93 & l1_pre_topc(A) )
% 0.81/0.93 => ? [B] :
% 0.81/0.93 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.93 & v4_pre_topc(B,A) ) ) ).
% 0.81/0.93
% 0.81/0.93 fof(rc7_pre_topc,axiom,
% 0.81/0.93 ! [A] :
% 0.81/0.93 ( ( ~ v3_struct_0(A)
% 0.81/0.93 & v2_pre_topc(A)
% 0.81/0.93 & l1_pre_topc(A) )
% 0.81/0.93 => ? [B] :
% 0.81/0.93 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.93 & ~ v1_xboole_0(B)
% 0.81/0.93 & v4_pre_topc(B,A) ) ) ).
% 0.81/0.93
% 0.81/0.93 fof(reflexivity_r1_tarski,axiom,
% 0.81/0.93 ! [A,B] : r1_tarski(A,A) ).
% 0.81/0.93
% 0.81/0.93 fof(t1_subset,axiom,
% 0.81/0.93 ! [A,B] :
% 0.81/0.93 ( r2_hidden(A,B)
% 0.81/0.93 => m1_subset_1(A,B) ) ).
% 0.81/0.93
% 0.81/0.93 fof(t2_subset,axiom,
% 0.81/0.93 ! [A,B] :
% 0.81/0.93 ( m1_subset_1(A,B)
% 0.81/0.93 => ( v1_xboole_0(B)
% 0.81/0.93 | r2_hidden(A,B) ) ) ).
% 0.81/0.93
% 0.81/0.93 fof(t3_subset,axiom,
% 0.81/0.93 ! [A,B] :
% 0.81/0.93 ( m1_subset_1(A,k1_zfmisc_1(B))
% 0.81/0.93 <=> r1_tarski(A,B) ) ).
% 0.81/0.93
% 0.81/0.93 fof(t4_subset,axiom,
% 0.81/0.93 ! [A,B,C] :
% 0.81/0.93 ( ( r2_hidden(A,B)
% 0.81/0.93 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 0.81/0.93 => m1_subset_1(A,C) ) ).
% 0.81/0.93
% 0.81/0.93 fof(t58_tex_4,axiom,
% 0.81/0.93 ! [A] :
% 0.81/0.93 ( ( ~ v3_struct_0(A)
% 0.81/0.93 & v2_pre_topc(A)
% 0.81/0.93 & l1_pre_topc(A) )
% 0.81/0.93 => ! [B] :
% 0.81/0.93 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.93 => ( v3_pre_topc(B,A)
% 0.81/0.93 => k3_tex_4(A,B) = B ) ) ) ).
% 0.81/0.93
% 0.81/0.93 fof(t5_subset,axiom,
% 0.81/0.93 ! [A,B,C] :
% 0.81/0.93 ~ ( r2_hidden(A,B)
% 0.81/0.93 & m1_subset_1(B,k1_zfmisc_1(C))
% 0.81/0.93 & v1_xboole_0(C) ) ).
% 0.81/0.93
% 0.81/0.93 fof(t5_tex_2,axiom,
% 0.81/0.93 ! [A,B] :
% 0.81/0.93 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.81/0.93 => ( v1_tex_2(B,k1_zfmisc_1(A))
% 0.81/0.93 <=> B != A ) ) ).
% 0.81/0.93
% 0.81/0.93 fof(t62_tex_4,axiom,
% 0.81/0.93 ! [A] :
% 0.81/0.93 ( ( ~ v3_struct_0(A)
% 0.81/0.93 & v2_pre_topc(A)
% 0.81/0.93 & l1_pre_topc(A) )
% 0.81/0.93 => ! [B] :
% 0.81/0.93 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.93 => ( v4_pre_topc(B,A)
% 0.81/0.93 => k3_tex_4(A,B) = B ) ) ) ).
% 0.81/0.93
% 0.81/0.93 fof(t6_boole,axiom,
% 0.81/0.93 ! [A] :
% 0.81/0.93 ( v1_xboole_0(A)
% 0.81/0.93 => A = k1_xboole_0 ) ).
% 0.81/0.93
% 0.81/0.93 fof(t7_boole,axiom,
% 0.81/0.93 ! [A,B] :
% 0.81/0.93 ~ ( r2_hidden(A,B)
% 0.81/0.93 & v1_xboole_0(B) ) ).
% 0.81/0.93
% 0.81/0.93 fof(t8_boole,axiom,
% 0.81/0.93 ! [A,B] :
% 0.81/0.93 ~ ( v1_xboole_0(A)
% 0.81/0.93 & A != B
% 0.81/0.93 & v1_xboole_0(B) ) ).
% 0.81/0.93
% 0.81/0.93 %------------------------------------------------------------------------------
% 0.81/0.93 %-------------------------------------------
% 0.81/0.93 % Proof found
% 0.81/0.93 % SZS status Theorem for theBenchmark
% 0.81/0.93 % SZS output start Proof
% 0.81/0.93 %ClaNum:191(EqnAxiom:53)
% 0.81/0.93 %VarNum:500(SingletonVarNum:176)
% 0.81/0.93 %MaxLitNum:7
% 0.81/0.93 %MaxfuncDepth:2
% 0.81/0.93 %SharedTerms:33
% 0.81/0.93 %goalClause: 54 55 71 74 75 77 100
% 0.81/0.93 %singleGoalClaCount:6
% 0.81/0.93 [54]P1(a1)
% 0.81/0.93 [55]P2(a1)
% 0.81/0.93 [56]P2(a10)
% 0.81/0.93 [57]P3(a12)
% 0.81/0.93 [58]P3(a13)
% 0.81/0.93 [59]P9(a12)
% 0.81/0.93 [60]P9(a13)
% 0.81/0.93 [61]P17(a12)
% 0.81/0.93 [62]P17(a13)
% 0.81/0.93 [63]P19(a12)
% 0.81/0.93 [64]P19(a13)
% 0.81/0.93 [65]P23(a12)
% 0.81/0.93 [66]P23(a13)
% 0.81/0.93 [67]P10(a12)
% 0.81/0.93 [68]P4(a14)
% 0.81/0.93 [69]P4(a2)
% 0.81/0.93 [71]P11(a11,a1)
% 0.81/0.93 [77]~P20(a1)
% 0.81/0.93 [78]~P20(a2)
% 0.81/0.93 [79]~P10(a13)
% 0.81/0.93 [74]P6(a11,f20(f19(a1)))
% 0.81/0.93 [75]P12(a11,f20(f19(a1)))
% 0.81/0.93 [72]P5(x721,x721)
% 0.81/0.93 [70]P10(f16(x701))
% 0.81/0.93 [73]P6(f15(x731),x731)
% 0.81/0.93 [76]P6(f16(x761),f20(x761))
% 0.81/0.93 [80]~P10(f20(x801))
% 0.81/0.93 [100]P21(a11,a1)+P24(a11,a1)
% 0.81/0.93 [81]~P10(x811)+E(x811,a12)
% 0.81/0.93 [82]~P9(x821)+P3(x821)
% 0.81/0.93 [83]~P10(x831)+P3(x831)
% 0.81/0.93 [84]~P17(x841)+P9(x841)
% 0.81/0.93 [85]~P10(x851)+P9(x851)
% 0.81/0.93 [86]~P19(x861)+P17(x861)
% 0.81/0.93 [87]~P10(x871)+P17(x871)
% 0.81/0.93 [88]~P23(x881)+P19(x881)
% 0.81/0.93 [89]~P10(x891)+P19(x891)
% 0.81/0.93 [90]~P10(x901)+P23(x901)
% 0.81/0.93 [91]~P2(x911)+P4(x911)
% 0.81/0.93 [93]~P2(x931)+P3(f4(x931))
% 0.81/0.93 [94]~P2(x941)+P9(f4(x941))
% 0.81/0.93 [95]~P2(x951)+P17(f4(x951))
% 0.81/0.93 [96]~P2(x961)+P19(f4(x961))
% 0.81/0.93 [97]~P2(x971)+P23(f4(x971))
% 0.81/0.93 [98]~P2(x981)+P10(f4(x981))
% 0.81/0.93 [99]P10(x991)+~P10(f17(x991))
% 0.81/0.93 [107]~P2(x1071)+P18(f4(x1071),x1071)
% 0.81/0.93 [111]P10(x1111)+P6(f17(x1111),f20(x1111))
% 0.81/0.93 [159]~P2(x1591)+P6(f4(x1591),f20(f19(x1591)))
% 0.81/0.93 [110]~P10(x1101)+~P7(x1102,x1101)
% 0.81/0.93 [137]~P7(x1371,x1372)+P6(x1371,x1372)
% 0.81/0.93 [158]~P7(x1582,x1581)+~P7(x1581,x1582)
% 0.81/0.93 [142]~P5(x1421,x1422)+P6(x1421,f20(x1422))
% 0.81/0.93 [160]P5(x1601,x1602)+~P6(x1601,f20(x1602))
% 0.81/0.93 [101]~P1(x1011)+~P2(x1011)+P3(f6(x1011))
% 0.81/0.93 [102]~P1(x1021)+~P2(x1021)+P9(f6(x1021))
% 0.81/0.93 [103]~P1(x1031)+~P2(x1031)+P17(f6(x1031))
% 0.81/0.93 [104]~P1(x1041)+~P2(x1041)+P19(f6(x1041))
% 0.81/0.93 [105]~P1(x1051)+~P2(x1051)+P23(f6(x1051))
% 0.81/0.93 [106]~P1(x1061)+~P2(x1061)+P10(f6(x1061))
% 0.81/0.93 [108]~P4(x1081)+P20(x1081)+~P10(f19(x1081))
% 0.81/0.93 [109]~P4(x1091)+P20(x1091)+~P10(f7(x1091))
% 0.81/0.93 [127]~P1(x1271)+~P2(x1271)+P21(f18(x1271),x1271)
% 0.81/0.93 [128]~P1(x1281)+~P2(x1281)+P21(f3(x1281),x1281)
% 0.81/0.93 [129]~P1(x1291)+~P2(x1291)+P21(f6(x1291),x1291)
% 0.81/0.93 [130]~P1(x1301)+~P2(x1301)+P24(f3(x1301),x1301)
% 0.81/0.93 [131]~P1(x1311)+~P2(x1311)+P24(f6(x1311),x1311)
% 0.81/0.93 [132]~P1(x1321)+~P2(x1321)+P24(f8(x1321),x1321)
% 0.81/0.93 [133]~P1(x1331)+~P2(x1331)+P18(f6(x1331),x1331)
% 0.81/0.93 [134]~P1(x1341)+~P2(x1341)+P22(f6(x1341),x1341)
% 0.81/0.93 [161]~P4(x1611)+P20(x1611)+P6(f7(x1611),f20(f19(x1611)))
% 0.81/0.93 [162]~P1(x1621)+~P2(x1621)+P6(f18(x1621),f20(f19(x1621)))
% 0.81/0.93 [163]~P1(x1631)+~P2(x1631)+P6(f3(x1631),f20(f19(x1631)))
% 0.81/0.93 [164]~P1(x1641)+~P2(x1641)+P6(f6(x1641),f20(f19(x1641)))
% 0.81/0.93 [165]~P1(x1651)+~P2(x1651)+P6(f8(x1651),f20(f19(x1651)))
% 0.81/0.93 [92]~P10(x922)+~P10(x921)+E(x921,x922)
% 0.81/0.93 [112]~P6(x1121,x1122)+P15(x1121)+~P3(x1122)
% 0.81/0.93 [113]~P6(x1131,x1132)+P15(x1131)+~P9(x1132)
% 0.81/0.93 [114]~P6(x1141,x1142)+P15(x1141)+~P17(x1142)
% 0.81/0.93 [115]~P6(x1151,x1152)+P15(x1151)+~P19(x1152)
% 0.81/0.93 [116]~P6(x1161,x1162)+P15(x1161)+~P23(x1162)
% 0.81/0.93 [117]~P6(x1171,x1172)+P16(x1171)+~P9(x1172)
% 0.81/0.93 [118]~P6(x1181,x1182)+P16(x1181)+~P17(x1182)
% 0.81/0.93 [119]~P6(x1191,x1192)+P16(x1191)+~P19(x1192)
% 0.81/0.93 [120]~P6(x1201,x1202)+P16(x1201)+~P23(x1202)
% 0.81/0.93 [121]~P6(x1211,x1212)+P13(x1211)+~P17(x1212)
% 0.81/0.93 [122]~P6(x1221,x1222)+P13(x1221)+~P19(x1222)
% 0.81/0.93 [123]~P6(x1231,x1232)+P13(x1231)+~P23(x1232)
% 0.81/0.93 [124]~P6(x1241,x1242)+P8(x1241)+~P19(x1242)
% 0.81/0.93 [125]~P6(x1251,x1252)+P8(x1251)+~P23(x1252)
% 0.81/0.93 [126]~P6(x1261,x1262)+P25(x1261)+~P23(x1262)
% 0.81/0.93 [141]~P6(x1412,x1411)+P10(x1411)+P7(x1412,x1411)
% 0.81/0.93 [143]P3(x1431)+~P3(x1432)+~P6(x1431,f20(x1432))
% 0.81/0.93 [144]P3(x1441)+~P9(x1442)+~P6(x1441,f20(x1442))
% 0.81/0.93 [145]P3(x1451)+~P17(x1452)+~P6(x1451,f20(x1452))
% 0.81/0.93 [146]P3(x1461)+~P19(x1462)+~P6(x1461,f20(x1462))
% 0.81/0.93 [147]P3(x1471)+~P23(x1472)+~P6(x1471,f20(x1472))
% 0.81/0.93 [148]P9(x1481)+~P9(x1482)+~P6(x1481,f20(x1482))
% 0.81/0.93 [149]P9(x1491)+~P17(x1492)+~P6(x1491,f20(x1492))
% 0.81/0.93 [150]P9(x1501)+~P19(x1502)+~P6(x1501,f20(x1502))
% 0.81/0.93 [151]P9(x1511)+~P23(x1512)+~P6(x1511,f20(x1512))
% 0.81/0.93 [152]P17(x1521)+~P17(x1522)+~P6(x1521,f20(x1522))
% 0.81/0.93 [153]P17(x1531)+~P19(x1532)+~P6(x1531,f20(x1532))
% 0.81/0.93 [154]P17(x1541)+~P23(x1542)+~P6(x1541,f20(x1542))
% 0.81/0.93 [155]P19(x1551)+~P19(x1552)+~P6(x1551,f20(x1552))
% 0.81/0.93 [156]P19(x1561)+~P23(x1562)+~P6(x1561,f20(x1562))
% 0.81/0.93 [157]P23(x1571)+~P23(x1572)+~P6(x1571,f20(x1572))
% 0.81/0.93 [166]E(x1661,x1662)+P12(x1661,f20(x1662))+~P6(x1661,f20(x1662))
% 0.81/0.93 [170]~E(x1701,x1702)+~P6(x1701,f20(x1702))+~P12(x1701,f20(x1702))
% 0.81/0.93 [169]~P10(x1691)+~P7(x1692,x1693)+~P6(x1693,f20(x1691))
% 0.81/0.93 [171]P6(x1711,x1712)+~P7(x1711,x1713)+~P6(x1713,f20(x1712))
% 0.81/0.93 [135]~P1(x1351)+~P2(x1351)+P20(x1351)+~P10(f5(x1351))
% 0.81/0.93 [136]~P1(x1361)+~P2(x1361)+P20(x1361)+~P10(f9(x1361))
% 0.81/0.93 [138]~P1(x1381)+~P2(x1381)+P20(x1381)+P21(f5(x1381),x1381)
% 0.81/0.93 [139]~P1(x1391)+~P2(x1391)+P20(x1391)+P24(f5(x1391),x1391)
% 0.81/0.93 [140]~P1(x1401)+~P2(x1401)+P20(x1401)+P24(f9(x1401),x1401)
% 0.81/0.93 [167]~P1(x1671)+~P2(x1671)+P20(x1671)+P6(f5(x1671),f20(f19(x1671)))
% 0.81/0.93 [168]~P1(x1681)+~P2(x1681)+P20(x1681)+P6(f9(x1681),f20(f19(x1681)))
% 0.81/0.93 [172]~P2(x1722)+~P10(x1721)+P18(x1721,x1722)+~P6(x1721,f20(f19(x1722)))
% 0.81/0.93 [187]~P2(x1871)+P20(x1871)+~P6(x1872,f20(f19(x1871)))+P6(f21(x1871,x1872),f20(f19(x1871)))
% 0.81/0.93 [173]~P1(x1732)+~P2(x1732)+~P10(x1731)+P21(x1731,x1732)+~P6(x1731,f20(f19(x1732)))
% 0.81/0.93 [174]~P1(x1742)+~P2(x1742)+~P10(x1741)+P24(x1741,x1742)+~P6(x1741,f20(f19(x1742)))
% 0.81/0.93 [175]~P1(x1752)+~P2(x1752)+~P10(x1751)+P22(x1751,x1752)+~P6(x1751,f20(f19(x1752)))
% 0.81/0.93 [176]~P1(x1762)+~P2(x1762)+~P22(x1761,x1762)+P18(x1761,x1762)+~P6(x1761,f20(f19(x1762)))
% 0.81/0.93 [177]~P1(x1771)+~P2(x1771)+~P11(x1772,x1771)+P20(x1771)+P14(x1772,x1771)+~P6(x1772,f20(f19(x1771)))
% 0.81/0.93 [178]P20(x1781)+~P1(x1781)+~P2(x1781)+~P21(x1782,x1781)+E(f21(x1781,x1782),x1782)+~P6(x1782,f20(f19(x1781)))
% 0.81/0.93 [179]P20(x1791)+~P1(x1791)+~P2(x1791)+~P24(x1792,x1791)+E(f21(x1791,x1792),x1792)+~P6(x1792,f20(f19(x1791)))
% 0.81/0.93 [180]P20(x1801)+~P1(x1801)+~P2(x1801)+~P11(x1802,x1801)+E(f21(x1801,x1802),f19(x1801))+~P6(x1802,f20(f19(x1801)))
% 0.81/0.93 [181]~P2(x1812)+~P21(x1811,x1812)+~P22(x1811,x1812)+P3(x1811)+~P1(x1812)+~P6(x1811,f20(f19(x1812)))
% 0.81/0.93 [182]~P2(x1822)+~P21(x1821,x1822)+~P22(x1821,x1822)+P9(x1821)+~P1(x1822)+~P6(x1821,f20(f19(x1822)))
% 0.81/0.93 [183]~P2(x1832)+~P21(x1831,x1832)+~P22(x1831,x1832)+P17(x1831)+~P1(x1832)+~P6(x1831,f20(f19(x1832)))
% 0.81/0.93 [184]~P2(x1842)+~P21(x1841,x1842)+~P22(x1841,x1842)+P19(x1841)+~P1(x1842)+~P6(x1841,f20(f19(x1842)))
% 0.81/0.93 [185]~P2(x1852)+~P21(x1851,x1852)+~P22(x1851,x1852)+P23(x1851)+~P1(x1852)+~P6(x1851,f20(f19(x1852)))
% 0.81/0.93 [186]~P2(x1862)+~P21(x1861,x1862)+~P22(x1861,x1862)+P10(x1861)+~P1(x1862)+~P6(x1861,f20(f19(x1862)))
% 0.81/0.93 [188]~P1(x1882)+~P2(x1882)+~P21(x1881,x1882)+~P22(x1881,x1882)+P24(x1881,x1882)+~P6(x1881,f20(f19(x1882)))
% 0.81/0.93 [190]~P1(x1902)+~P2(x1902)+~P24(x1901,x1902)+~P18(x1901,x1902)+P22(x1901,x1902)+~P6(x1901,f20(f19(x1902)))
% 0.81/0.93 [191]~P1(x1911)+~P2(x1911)+~P14(x1912,x1911)+P20(x1911)+P11(x1912,x1911)+~E(f21(x1911,x1912),f19(x1911))+~P6(x1912,f20(f19(x1911)))
% 0.81/0.93 %EqnAxiom
% 0.81/0.93 [1]E(x11,x11)
% 0.81/0.93 [2]E(x22,x21)+~E(x21,x22)
% 0.81/0.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.81/0.93 [4]~E(x41,x42)+E(f16(x41),f16(x42))
% 0.81/0.93 [5]~E(x51,x52)+E(f15(x51),f15(x52))
% 0.81/0.93 [6]~E(x61,x62)+E(f19(x61),f19(x62))
% 0.81/0.93 [7]~E(x71,x72)+E(f20(x71),f20(x72))
% 0.81/0.93 [8]~E(x81,x82)+E(f21(x81,x83),f21(x82,x83))
% 0.81/0.93 [9]~E(x91,x92)+E(f21(x93,x91),f21(x93,x92))
% 0.81/0.93 [10]~E(x101,x102)+E(f4(x101),f4(x102))
% 0.81/0.93 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 0.81/0.93 [12]~E(x121,x122)+E(f18(x121),f18(x122))
% 0.81/0.93 [13]~E(x131,x132)+E(f9(x131),f9(x132))
% 0.81/0.93 [14]~E(x141,x142)+E(f6(x141),f6(x142))
% 0.81/0.93 [15]~E(x151,x152)+E(f3(x151),f3(x152))
% 0.81/0.93 [16]~E(x161,x162)+E(f8(x161),f8(x162))
% 0.81/0.93 [17]~E(x171,x172)+E(f5(x171),f5(x172))
% 0.81/0.93 [18]~E(x181,x182)+E(f17(x181),f17(x182))
% 0.81/0.93 [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 0.81/0.93 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 0.81/0.93 [21]P21(x212,x213)+~E(x211,x212)+~P21(x211,x213)
% 0.81/0.93 [22]P21(x223,x222)+~E(x221,x222)+~P21(x223,x221)
% 0.81/0.93 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 0.81/0.93 [24]P12(x242,x243)+~E(x241,x242)+~P12(x241,x243)
% 0.81/0.93 [25]P12(x253,x252)+~E(x251,x252)+~P12(x253,x251)
% 0.81/0.93 [26]~P9(x261)+P9(x262)+~E(x261,x262)
% 0.81/0.93 [27]P6(x272,x273)+~E(x271,x272)+~P6(x271,x273)
% 0.81/0.93 [28]P6(x283,x282)+~E(x281,x282)+~P6(x283,x281)
% 0.81/0.93 [29]~P17(x291)+P17(x292)+~E(x291,x292)
% 0.81/0.93 [30]~P20(x301)+P20(x302)+~E(x301,x302)
% 0.81/0.93 [31]~P19(x311)+P19(x312)+~E(x311,x312)
% 0.81/0.93 [32]~P25(x321)+P25(x322)+~E(x321,x322)
% 0.81/0.93 [33]~P23(x331)+P23(x332)+~E(x331,x332)
% 0.81/0.93 [34]~P16(x341)+P16(x342)+~E(x341,x342)
% 0.81/0.93 [35]~P10(x351)+P10(x352)+~E(x351,x352)
% 0.81/0.93 [36]~P4(x361)+P4(x362)+~E(x361,x362)
% 0.81/0.93 [37]P11(x372,x373)+~E(x371,x372)+~P11(x371,x373)
% 0.81/0.93 [38]P11(x383,x382)+~E(x381,x382)+~P11(x383,x381)
% 0.81/0.93 [39]P18(x392,x393)+~E(x391,x392)+~P18(x391,x393)
% 0.81/0.93 [40]P18(x403,x402)+~E(x401,x402)+~P18(x403,x401)
% 0.89/0.93 [41]P22(x412,x413)+~E(x411,x412)+~P22(x411,x413)
% 0.89/0.93 [42]P22(x423,x422)+~E(x421,x422)+~P22(x423,x421)
% 0.89/0.93 [43]P5(x432,x433)+~E(x431,x432)+~P5(x431,x433)
% 0.89/0.93 [44]P5(x443,x442)+~E(x441,x442)+~P5(x443,x441)
% 0.89/0.93 [45]P24(x452,x453)+~E(x451,x452)+~P24(x451,x453)
% 0.89/0.93 [46]P24(x463,x462)+~E(x461,x462)+~P24(x463,x461)
% 0.89/0.93 [47]~P8(x471)+P8(x472)+~E(x471,x472)
% 0.89/0.93 [48]P7(x482,x483)+~E(x481,x482)+~P7(x481,x483)
% 0.89/0.93 [49]P7(x493,x492)+~E(x491,x492)+~P7(x493,x491)
% 0.89/0.93 [50]~P13(x501)+P13(x502)+~E(x501,x502)
% 0.89/0.93 [51]~P15(x511)+P15(x512)+~E(x511,x512)
% 0.89/0.93 [52]P14(x522,x523)+~E(x521,x522)+~P14(x521,x523)
% 0.89/0.93 [53]P14(x533,x532)+~E(x531,x532)+~P14(x533,x531)
% 0.89/0.93
% 0.89/0.93 %-------------------------------------------
% 0.89/0.94 cnf(194,plain,
% 0.89/0.94 (P7(f15(a13),a13)),
% 0.89/0.94 inference(scs_inference,[],[67,79,74,73,110,160,141])).
% 0.89/0.94 cnf(195,plain,
% 0.89/0.94 (P6(f15(x1951),x1951)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(197,plain,
% 0.89/0.94 (~P7(x1971,f15(f20(a12)))),
% 0.89/0.94 inference(scs_inference,[],[67,79,74,73,195,110,160,141,169])).
% 0.89/0.94 cnf(198,plain,
% 0.89/0.94 (P6(f15(x1981),x1981)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(201,plain,
% 0.89/0.94 (P6(f15(x2011),x2011)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(204,plain,
% 0.89/0.94 (P6(f15(x2041),x2041)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(207,plain,
% 0.89/0.94 (P6(f16(x2071),f20(x2071))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(210,plain,
% 0.89/0.94 (P6(f15(x2101),x2101)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(213,plain,
% 0.89/0.94 (P6(f16(x2131),f20(x2131))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(216,plain,
% 0.89/0.94 (P6(f15(x2161),x2161)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(219,plain,
% 0.89/0.94 (P6(f16(x2191),f20(x2191))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(222,plain,
% 0.89/0.94 (P6(f15(x2221),x2221)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(225,plain,
% 0.89/0.94 (P6(f16(x2251),f20(x2251))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(229,plain,
% 0.89/0.94 (P18(f16(f19(a1)),a1)),
% 0.89/0.94 inference(scs_inference,[],[55,63,65,67,79,74,75,73,195,198,201,204,210,216,70,76,207,213,219,225,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172])).
% 0.89/0.94 cnf(230,plain,
% 0.89/0.94 (P6(f16(x2301),f20(x2301))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(231,plain,
% 0.89/0.94 (P10(f16(x2311))),
% 0.89/0.94 inference(rename_variables,[],[70])).
% 0.89/0.94 cnf(233,plain,
% 0.89/0.94 (P22(f16(f19(a1)),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,55,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,76,207,213,219,225,230,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175])).
% 0.89/0.94 cnf(234,plain,
% 0.89/0.94 (P6(f16(x2341),f20(x2341))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(235,plain,
% 0.89/0.94 (P10(f16(x2351))),
% 0.89/0.94 inference(rename_variables,[],[70])).
% 0.89/0.94 cnf(237,plain,
% 0.89/0.94 (P24(f16(f19(a1)),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,55,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,76,207,213,219,225,230,234,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174])).
% 0.89/0.94 cnf(238,plain,
% 0.89/0.94 (P6(f16(x2381),f20(x2381))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(239,plain,
% 0.89/0.94 (P10(f16(x2391))),
% 0.89/0.94 inference(rename_variables,[],[70])).
% 0.89/0.94 cnf(241,plain,
% 0.89/0.94 (P21(f16(f19(a1)),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,55,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,76,207,213,219,225,230,234,238,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173])).
% 0.89/0.94 cnf(242,plain,
% 0.89/0.94 (P6(f16(x2421),f20(x2421))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(243,plain,
% 0.89/0.94 (P10(f16(x2431))),
% 0.89/0.94 inference(rename_variables,[],[70])).
% 0.89/0.94 cnf(246,plain,
% 0.89/0.94 (P6(f16(x2461),f20(x2461))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(249,plain,
% 0.89/0.94 (P6(f16(x2491),f20(x2491))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(252,plain,
% 0.89/0.94 (P6(f16(x2521),f20(x2521))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(255,plain,
% 0.89/0.94 (P6(f16(x2551),f20(x2551))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(262,plain,
% 0.89/0.94 (E(f21(a1,a11),f19(a1))),
% 0.89/0.94 inference(scs_inference,[],[54,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180])).
% 0.89/0.94 cnf(279,plain,
% 0.89/0.94 (E(f16(x2791),a12)),
% 0.89/0.94 inference(scs_inference,[],[54,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81])).
% 0.89/0.94 cnf(281,plain,
% 0.89/0.94 (P6(x2811,f20(x2811))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142])).
% 0.89/0.94 cnf(287,plain,
% 0.89/0.94 (P10(f4(a1))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98])).
% 0.89/0.94 cnf(291,plain,
% 0.89/0.94 (P19(f4(a1))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96])).
% 0.89/0.94 cnf(308,plain,
% 0.89/0.94 (E(f21(x3081,f21(a1,a11)),f21(x3081,f19(a1)))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9])).
% 0.89/0.94 cnf(309,plain,
% 0.89/0.94 (E(f21(f21(a1,a11),x3091),f21(f19(a1),x3091))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8])).
% 0.89/0.94 cnf(310,plain,
% 0.89/0.94 (E(f20(f21(a1,a11)),f20(f19(a1)))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7])).
% 0.89/0.94 cnf(313,plain,
% 0.89/0.94 (E(f16(f21(a1,a11)),f16(f19(a1)))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 0.89/0.94 cnf(314,plain,
% 0.89/0.94 (P6(f4(a1),f20(f19(a1)))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159])).
% 0.89/0.94 cnf(316,plain,
% 0.89/0.94 (P6(f17(a13),f20(a13))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111])).
% 0.89/0.94 cnf(321,plain,
% 0.89/0.94 (~E(a11,f21(a1,a11))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3])).
% 0.89/0.94 cnf(330,plain,
% 0.89/0.94 (P15(f15(a12))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116])).
% 0.89/0.94 cnf(334,plain,
% 0.89/0.94 (P18(f6(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133])).
% 0.89/0.94 cnf(336,plain,
% 0.89/0.94 (P24(f8(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132])).
% 0.89/0.94 cnf(342,plain,
% 0.89/0.94 (P21(f6(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129])).
% 0.89/0.94 cnf(346,plain,
% 0.89/0.94 (P21(f18(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129,128,127])).
% 0.89/0.94 cnf(350,plain,
% 0.89/0.94 (~P10(f19(a1))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129,128,127,109,108])).
% 0.89/0.94 cnf(364,plain,
% 0.89/0.94 (P6(f8(a1),f20(f19(a1)))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129,128,127,109,108,106,105,104,103,102,101,165])).
% 0.89/0.94 cnf(366,plain,
% 0.89/0.94 (P6(f6(a1),f20(f19(a1)))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129,128,127,109,108,106,105,104,103,102,101,165,164])).
% 0.89/0.94 cnf(374,plain,
% 0.89/0.94 (P24(f9(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129,128,127,109,108,106,105,104,103,102,101,165,164,163,162,161,140])).
% 0.89/0.94 cnf(376,plain,
% 0.89/0.94 (P24(f5(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129,128,127,109,108,106,105,104,103,102,101,165,164,163,162,161,140,139])).
% 0.89/0.94 cnf(378,plain,
% 0.89/0.94 (P21(f5(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129,128,127,109,108,106,105,104,103,102,101,165,164,163,162,161,140,139,138])).
% 0.89/0.94 cnf(382,plain,
% 0.89/0.94 (~P10(f5(a1))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129,128,127,109,108,106,105,104,103,102,101,165,164,163,162,161,140,139,138,136,135])).
% 0.89/0.94 cnf(386,plain,
% 0.89/0.94 (P6(f5(a1),f20(f19(a1)))),
% 0.89/0.94 inference(scs_inference,[],[54,72,55,71,77,63,65,67,79,74,75,73,195,198,201,204,210,216,222,70,231,235,239,243,76,207,213,219,225,230,234,238,242,246,249,252,255,110,160,141,169,157,156,155,154,153,151,150,147,146,170,172,175,174,173,185,184,183,182,181,177,180,2,158,91,90,89,87,85,83,81,142,107,99,98,97,96,95,94,93,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,159,111,49,48,35,3,126,125,123,120,116,134,133,132,131,130,129,128,127,109,108,106,105,104,103,102,101,165,164,163,162,161,140,139,138,136,135,168,167])).
% 0.89/0.94 cnf(406,plain,
% 0.89/0.94 (E(f16(x4061),a12)),
% 0.89/0.94 inference(rename_variables,[],[279])).
% 0.89/0.94 cnf(408,plain,
% 0.89/0.94 (P6(f15(x4081),x4081)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(411,plain,
% 0.89/0.94 (P6(f15(x4111),x4111)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(414,plain,
% 0.89/0.94 (P6(f15(x4141),x4141)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(417,plain,
% 0.89/0.94 (P6(f15(x4171),x4171)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(419,plain,
% 0.89/0.94 (~P22(f5(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,64,73,408,411,414,55,386,279,382,241,378,21,124,122,119,115,186])).
% 0.89/0.94 cnf(427,plain,
% 0.89/0.94 (E(f21(f19(a1),x4271),f21(f21(a1,a11),x4271))),
% 0.89/0.94 inference(scs_inference,[],[54,62,64,73,408,411,414,417,55,309,386,279,382,241,378,21,124,122,119,115,186,152,149,145,2])).
% 0.89/0.94 cnf(430,plain,
% 0.89/0.94 (~E(f16(f19(a1)),f5(a1))),
% 0.89/0.94 inference(scs_inference,[],[54,62,64,73,408,411,414,417,72,55,309,233,237,386,279,406,382,241,378,21,124,122,119,115,186,152,149,145,2,45,44,41])).
% 0.89/0.94 cnf(434,plain,
% 0.89/0.94 (P6(f16(x4341),f20(x4341))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(436,plain,
% 0.89/0.94 (P6(f16(x4361),f20(x4361))),
% 0.89/0.94 inference(rename_variables,[],[76])).
% 0.89/0.94 cnf(438,plain,
% 0.89/0.94 (E(f21(f21(a1,a11),x4381),f21(f19(a1),x4381))),
% 0.89/0.94 inference(rename_variables,[],[309])).
% 0.89/0.94 cnf(440,plain,
% 0.89/0.94 (~P6(a13,f20(f16(x4401)))),
% 0.89/0.94 inference(scs_inference,[],[54,62,64,73,408,411,414,417,70,76,434,72,79,55,309,308,313,310,229,233,237,386,279,406,382,241,194,378,21,124,122,119,115,186,152,149,145,2,45,44,41,39,35,28,27,3,169])).
% 0.89/0.94 cnf(453,plain,
% 0.89/0.94 (P12(f16(a13),f20(a13))),
% 0.89/0.94 inference(scs_inference,[],[54,62,64,69,78,73,408,411,414,417,70,76,434,436,72,79,55,281,309,438,308,313,310,229,233,237,386,279,406,330,382,241,194,378,21,124,122,119,115,186,152,149,145,2,45,44,41,39,35,28,27,3,169,109,108,161,43,51,171,166])).
% 0.89/0.94 cnf(456,plain,
% 0.89/0.94 (~P18(f5(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[54,62,64,69,78,73,408,411,414,417,70,76,434,436,72,79,55,281,309,438,308,313,310,229,233,237,386,279,406,330,382,241,194,376,378,21,124,122,119,115,186,152,149,145,2,45,44,41,39,35,28,27,3,169,109,108,161,43,51,171,166,190])).
% 0.89/0.94 cnf(515,plain,
% 0.89/0.94 (P6(f15(x5151),x5151)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(518,plain,
% 0.89/0.94 (P6(f15(x5181),x5181)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(521,plain,
% 0.89/0.94 (P6(f15(x5211),x5211)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(524,plain,
% 0.89/0.94 (P6(f15(x5241),x5241)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(527,plain,
% 0.89/0.94 (P6(f15(x5271),x5271)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(536,plain,
% 0.89/0.94 (P22(f4(a1),a1)),
% 0.89/0.94 inference(scs_inference,[],[55,73,515,518,521,524,527,66,62,77,336,342,197,364,366,314,287,453,291,279,316,54,179,178,126,124,122,119,115,173,152,24,141,175])).
% 0.89/0.94 cnf(538,plain,
% 0.89/0.94 (~E(f21(a1,a11),a11)),
% 0.89/0.94 inference(scs_inference,[],[55,73,515,518,521,524,527,66,62,77,336,342,197,364,366,321,314,287,453,291,279,316,54,179,178,126,124,122,119,115,173,152,24,141,175,2])).
% 0.89/0.94 cnf(543,plain,
% 0.89/0.94 (E(f21(f19(a1),f21(a1,a11)),f21(f21(a1,a11),f19(a1)))),
% 0.89/0.94 inference(scs_inference,[],[55,73,515,518,521,524,527,66,62,77,334,427,336,342,197,364,366,321,314,287,350,440,453,456,291,281,308,262,279,316,54,179,178,126,124,122,119,115,173,152,24,141,175,2,39,35,28,3])).
% 0.89/0.94 cnf(580,plain,
% 0.89/0.94 (P6(f15(x5801),x5801)),
% 0.89/0.94 inference(rename_variables,[],[73])).
% 0.89/0.94 cnf(588,plain,
% 0.89/0.94 ($false),
% 0.89/0.94 inference(scs_inference,[],[55,80,67,73,580,74,77,543,374,346,536,538,419,430,440,262,279,54,179,178,174,21,142,45,41,141,35,2,3,28,100]),
% 0.89/0.94 ['proof']).
% 0.89/0.94 % SZS output end Proof
% 0.89/0.94 % Total time :0.300000s
%------------------------------------------------------------------------------