TSTP Solution File: TOP034+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : TOP034+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 : n003.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 05:53:30 EDT 2023
% Result : Theorem 0.91s 1.00s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP034+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 23:10:39 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.88/0.97 %-------------------------------------------
% 0.88/0.97 % File :CSE---1.6
% 0.88/0.97 % Problem :theBenchmark
% 0.88/0.97 % Transform :cnf
% 0.88/0.97 % Format :tptp:raw
% 0.88/0.97 % Command :java -jar mcs_scs.jar %d %s
% 0.88/0.97
% 0.88/0.97 % Result :Theorem 0.310000s
% 0.88/0.97 % Output :CNFRefutation 0.310000s
% 0.88/0.97 %-------------------------------------------
% 0.88/0.98 %------------------------------------------------------------------------------
% 0.88/0.98 % File : TOP034+1 : TPTP v8.1.2. Released v3.4.0.
% 0.88/0.98 % Domain : Topology
% 0.88/0.98 % Problem : Maximal Kolmogorov Subspaces of a Topological Space T23
% 0.88/0.98 % Version : [Urb08] axioms : Especial.
% 0.88/0.98 % English :
% 0.88/0.98
% 0.88/0.98 % Refs : [Kar96] Karno (1996), Maximal Kolmogorov Subspaces of a Topolo
% 0.88/0.98 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.88/0.98 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.88/0.98 % Source : [Urb08]
% 0.88/0.98 % Names : t23_tsp_2 [Urb08]
% 0.88/0.98
% 0.88/0.98 % Status : Theorem
% 0.88/0.98 % Rating : 0.19 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.17 v7.3.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.17 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.22 v5.4.0, 0.29 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.26 v4.0.0, 0.29 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0
% 0.88/0.98 % Syntax : Number of formulae : 95 ( 14 unt; 0 def)
% 0.88/0.98 % Number of atoms : 466 ( 2 equ)
% 0.88/0.98 % Maximal formula atoms : 15 ( 4 avg)
% 0.88/0.98 % Number of connectives : 476 ( 105 ~; 1 |; 230 &)
% 0.88/0.98 % ( 4 <=>; 136 =>; 0 <=; 0 <~>)
% 0.88/0.98 % Maximal formula depth : 15 ( 6 avg)
% 0.88/0.98 % Maximal term depth : 3 ( 1 avg)
% 0.88/0.98 % Number of predicates : 46 ( 44 usr; 1 prp; 0-3 aty)
% 0.88/0.98 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.88/0.98 % Number of variables : 160 ( 139 !; 21 ?)
% 0.88/0.98 % SPC : FOF_THM_RFO_SEQ
% 0.88/0.98
% 0.88/0.98 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.88/0.98 % other articles) and background that are possibly necessary.
% 0.88/0.98 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.88/0.98 % : The problem encoding is based on set theory.
% 0.88/0.98 %------------------------------------------------------------------------------
% 0.88/0.98 fof(t23_tsp_2,conjecture,
% 0.88/0.98 ! [A] :
% 0.88/0.98 ( ( ~ v3_struct_0(A)
% 0.88/0.98 & v2_pre_topc(A)
% 0.88/0.98 & l1_pre_topc(A) )
% 0.88/0.98 => ! [B] :
% 0.88/0.98 ( ( ~ v3_struct_0(B)
% 0.88/0.98 & v2_tsp_2(B,A)
% 0.88/0.98 & m2_tsp_1(B,A) )
% 0.88/0.98 => r1_borsuk_1(A,B) ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(antisymmetry_r2_hidden,axiom,
% 0.88/0.98 ! [A,B] :
% 0.88/0.98 ( r2_hidden(A,B)
% 0.88/0.98 => ~ r2_hidden(B,A) ) ).
% 0.88/0.98
% 0.88/0.98 fof(cc10_membered,axiom,
% 0.88/0.98 ! [A] :
% 0.88/0.98 ( v1_membered(A)
% 0.88/0.98 => ! [B] :
% 0.88/0.98 ( m1_subset_1(B,A)
% 0.88/0.98 => v1_xcmplx_0(B) ) ) ).
% 0.88/0.98
% 0.88/0.98 fof(cc10_tsp_1,axiom,
% 0.88/0.98 ! [A] :
% 0.88/0.98 ( l1_pre_topc(A)
% 0.88/0.98 => ( ( ~ v3_struct_0(A)
% 0.88/0.98 & v2_pre_topc(A)
% 0.88/0.98 & ~ v1_tdlat_3(A)
% 0.91/0.98 & v2_t_0topsp(A) )
% 0.91/0.98 => ( ~ v3_struct_0(A)
% 0.91/0.98 & ~ v3_realset2(A)
% 0.91/0.98 & v2_pre_topc(A)
% 0.91/0.98 & ~ v1_tdlat_3(A)
% 0.91/0.98 & ~ v2_tdlat_3(A)
% 0.91/0.98 & ~ v3_tdlat_3(A) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc10_tsp_2,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( ( ~ v3_struct_0(A)
% 0.91/0.98 & v2_pre_topc(A)
% 0.91/0.98 & l1_pre_topc(A) )
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_pre_topc(B,A)
% 0.91/0.98 => ( ( v2_tex_2(B,A)
% 0.91/0.98 & v2_tsp_2(B,A) )
% 0.91/0.98 => ( v2_pre_topc(B)
% 0.91/0.98 & ~ v1_borsuk_1(B,A) ) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc11_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v2_membered(A)
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_subset_1(B,A)
% 0.91/0.98 => ( v1_xcmplx_0(B)
% 0.91/0.98 & v1_xreal_0(B) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc11_tsp_1,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( ( ~ v3_struct_0(A)
% 0.91/0.98 & v2_pre_topc(A)
% 0.91/0.98 & v2_t_0topsp(A)
% 0.91/0.98 & l1_pre_topc(A) )
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_pre_topc(B,A)
% 0.91/0.98 => ( ~ v3_struct_0(B)
% 0.91/0.98 => ( ~ v3_struct_0(B)
% 0.91/0.98 & v2_t_0topsp(B) ) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc12_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v3_membered(A)
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_subset_1(B,A)
% 0.91/0.98 => ( v1_xcmplx_0(B)
% 0.91/0.98 & v1_xreal_0(B)
% 0.91/0.98 & v1_rat_1(B) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc12_tsp_1,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( ( ~ v3_struct_0(A)
% 0.91/0.98 & v2_pre_topc(A)
% 0.91/0.98 & ~ v2_t_0topsp(A)
% 0.91/0.98 & l1_pre_topc(A) )
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_pre_topc(B,A)
% 0.91/0.98 => ( ( ~ v3_struct_0(B)
% 0.91/0.98 & ~ v2_tex_2(B,A) )
% 0.91/0.98 => ( ~ v3_struct_0(B)
% 0.91/0.98 & ~ v3_realset2(B)
% 0.91/0.98 & ~ v2_t_0topsp(B) ) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc13_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v4_membered(A)
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_subset_1(B,A)
% 0.91/0.98 => ( v1_xcmplx_0(B)
% 0.91/0.98 & v1_xreal_0(B)
% 0.91/0.98 & v1_int_1(B)
% 0.91/0.98 & v1_rat_1(B) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc13_tsp_1,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( ( ~ v3_struct_0(A)
% 0.91/0.98 & v2_pre_topc(A)
% 0.91/0.98 & ~ v2_t_0topsp(A)
% 0.91/0.98 & l1_pre_topc(A) )
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_pre_topc(B,A)
% 0.91/0.98 => ( ( ~ v3_struct_0(B)
% 0.91/0.98 & v2_t_0topsp(B) )
% 0.91/0.98 => ( ~ v3_struct_0(B)
% 0.91/0.98 & v2_tex_2(B,A) ) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc14_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v5_membered(A)
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_subset_1(B,A)
% 0.91/0.98 => ( v1_xcmplx_0(B)
% 0.91/0.98 & v4_ordinal2(B)
% 0.91/0.98 & v1_xreal_0(B)
% 0.91/0.98 & v1_int_1(B)
% 0.91/0.98 & v1_rat_1(B) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc15_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v1_xboole_0(A)
% 0.91/0.98 => ( v1_membered(A)
% 0.91/0.98 & v2_membered(A)
% 0.91/0.98 & v3_membered(A)
% 0.91/0.98 & v4_membered(A)
% 0.91/0.98 & v5_membered(A) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc16_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v1_membered(A)
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.91/0.98 => v1_membered(B) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc17_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v2_membered(A)
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.91/0.98 => ( v1_membered(B)
% 0.91/0.98 & v2_membered(B) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc18_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v3_membered(A)
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.91/0.98 => ( v1_membered(B)
% 0.91/0.98 & v2_membered(B)
% 0.91/0.98 & v3_membered(B) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc19_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v4_membered(A)
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.91/0.98 => ( v1_membered(B)
% 0.91/0.98 & v2_membered(B)
% 0.91/0.98 & v3_membered(B)
% 0.91/0.98 & v4_membered(B) ) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc1_membered,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( v5_membered(A)
% 0.91/0.98 => v4_membered(A) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc1_pre_topc,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( ( v2_pre_topc(A)
% 0.91/0.98 & l1_pre_topc(A) )
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_pre_topc(B,A)
% 0.91/0.98 => v2_pre_topc(B) ) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc1_relset_1,axiom,
% 0.91/0.98 ! [A,B,C] :
% 0.91/0.98 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 0.91/0.98 => v1_relat_1(C) ) ).
% 0.91/0.98
% 0.91/0.98 fof(cc1_tops_1,axiom,
% 0.91/0.98 ! [A] :
% 0.91/0.98 ( ( v2_pre_topc(A)
% 0.91/0.98 & l1_pre_topc(A) )
% 0.91/0.98 => ! [B] :
% 0.91/0.98 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/0.98 => ( v1_xboole_0(B)
% 0.91/0.98 => ( v3_pre_topc(B,A)
% 0.91/0.98 & v4_pre_topc(B,A) ) ) ) ) ).
% 0.91/0.98
% 0.91/0.99 fof(cc1_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v3_realset2(A) )
% 0.91/0.99 => ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_t_0topsp(A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc1_tsp_2,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => ( ( ~ v3_struct_0(B)
% 0.91/0.99 & v2_tsp_2(B,A) )
% 0.91/0.99 => ( ~ v3_struct_0(B)
% 0.91/0.99 & v2_t_0topsp(B) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc20_membered,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( v5_membered(A)
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.91/0.99 => ( v1_membered(B)
% 0.91/0.99 & v2_membered(B)
% 0.91/0.99 & v3_membered(B)
% 0.91/0.99 & v4_membered(B)
% 0.91/0.99 & v5_membered(B) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc2_membered,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( v4_membered(A)
% 0.91/0.99 => v3_membered(A) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc2_tops_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/0.99 => ( v1_xboole_0(B)
% 0.91/0.99 => v2_tops_1(B,A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc2_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ( ( ~ v3_struct_0(A)
% 0.91/0.99 & ~ v2_t_0topsp(A) )
% 0.91/0.99 => ( ~ v3_struct_0(A)
% 0.91/0.99 & ~ v3_realset2(A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc2_tsp_2,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => ( ( ~ v3_struct_0(B)
% 0.91/0.99 & ~ v2_t_0topsp(B) )
% 0.91/0.99 => ( ~ v3_struct_0(B)
% 0.91/0.99 & ~ v2_tsp_2(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc3_membered,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( v3_membered(A)
% 0.91/0.99 => v2_membered(A) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc3_tops_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/0.99 => ( v1_xboole_0(B)
% 0.91/0.99 => v3_tops_1(B,A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc3_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & v1_tdlat_3(A) )
% 0.91/0.99 => ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & v2_t_0topsp(A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc3_tsp_2,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => ( v2_tsp_2(B,A)
% 0.91/0.99 => ( v2_pre_topc(B)
% 0.91/0.99 & v1_tex_3(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc4_membered,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( v2_membered(A)
% 0.91/0.99 => v1_membered(A) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc4_tops_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/0.99 => ( v3_tops_1(B,A)
% 0.91/0.99 => v2_tops_1(B,A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc4_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & ~ v2_t_0topsp(A) )
% 0.91/0.99 => ( ~ v3_struct_0(A)
% 0.91/0.99 & ~ v3_realset2(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & ~ v1_tdlat_3(A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc4_tsp_2,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => ( ~ v1_tex_3(B,A)
% 0.91/0.99 => ( v2_pre_topc(B)
% 0.91/0.99 & ~ v2_tsp_2(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc5_tops_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/0.99 => ( ( v4_pre_topc(B,A)
% 0.91/0.99 & v2_tops_1(B,A) )
% 0.91/0.99 => ( v2_tops_1(B,A)
% 0.91/0.99 & v3_tops_1(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc5_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ( ( ~ v3_struct_0(A)
% 0.91/0.99 & ~ v3_realset2(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & v2_tdlat_3(A) )
% 0.91/0.99 => ( ~ v3_struct_0(A)
% 0.91/0.99 & ~ v3_realset2(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & ~ v2_t_0topsp(A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc5_tsp_2,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => ( ( v1_tsep_1(B,A)
% 0.91/0.99 & v2_tsp_2(B,A) )
% 0.91/0.99 => ( v2_pre_topc(B)
% 0.91/0.99 & ~ v2_tex_2(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc6_tops_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/0.99 => ( ( v3_pre_topc(B,A)
% 0.91/0.99 & v3_tops_1(B,A) )
% 0.91/0.99 => ( v1_xboole_0(B)
% 0.91/0.99 & v3_pre_topc(B,A)
% 0.91/0.99 & v4_pre_topc(B,A)
% 0.91/0.99 & v1_membered(B)
% 0.91/0.99 & v2_membered(B)
% 0.91/0.99 & v3_membered(B)
% 0.91/0.99 & v4_membered(B)
% 0.91/0.99 & v5_membered(B)
% 0.91/0.99 & v2_tops_1(B,A)
% 0.91/0.99 & v3_tops_1(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc6_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & v2_tdlat_3(A)
% 0.91/0.99 & v2_t_0topsp(A) )
% 0.91/0.99 => ( ~ v3_struct_0(A)
% 0.91/0.99 & v3_realset2(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & v1_tdlat_3(A)
% 0.91/0.99 & v2_tdlat_3(A)
% 0.91/0.99 & v3_tdlat_3(A)
% 0.91/0.99 & v4_tdlat_3(A)
% 0.91/0.99 & v5_tdlat_3(A)
% 0.91/0.99 & v2_t_0topsp(A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc6_tsp_2,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => ( ( v1_tsep_1(B,A)
% 0.91/0.99 & v2_tex_2(B,A) )
% 0.91/0.99 => ( v2_pre_topc(B)
% 0.91/0.99 & ~ v2_tsp_2(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc7_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ( ( ~ v3_struct_0(A)
% 0.91/0.99 & ~ v3_realset2(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & v2_t_0topsp(A) )
% 0.91/0.99 => ( ~ v3_struct_0(A)
% 0.91/0.99 & ~ v3_realset2(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & ~ v2_tdlat_3(A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc7_tsp_2,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => ( ( v2_tex_2(B,A)
% 0.91/0.99 & v2_tsp_2(B,A) )
% 0.91/0.99 => ( v2_pre_topc(B)
% 0.91/0.99 & ~ v1_tsep_1(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc8_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & v3_tdlat_3(A)
% 0.91/0.99 & v2_t_0topsp(A) )
% 0.91/0.99 => ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & v1_tdlat_3(A)
% 0.91/0.99 & v3_tdlat_3(A)
% 0.91/0.99 & v4_tdlat_3(A)
% 0.91/0.99 & v5_tdlat_3(A)
% 0.91/0.99 & v2_t_0topsp(A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc8_tsp_2,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => ( ( v1_borsuk_1(B,A)
% 0.91/0.99 & v2_tsp_2(B,A) )
% 0.91/0.99 => ( v2_pre_topc(B)
% 0.91/0.99 & ~ v2_tex_2(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc9_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & ~ v1_tdlat_3(A)
% 0.91/0.99 & v3_tdlat_3(A) )
% 0.91/0.99 => ( ~ v3_struct_0(A)
% 0.91/0.99 & ~ v3_realset2(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & ~ v1_tdlat_3(A)
% 0.91/0.99 & ~ v2_t_0topsp(A) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(cc9_tsp_2,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => ( ( v2_tex_2(B,A)
% 0.91/0.99 & v1_borsuk_1(B,A) )
% 0.91/0.99 => ( v2_pre_topc(B)
% 0.91/0.99 & ~ v2_tsp_2(B,A) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(d20_borsuk_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( ( ~ v3_struct_0(A)
% 0.91/0.99 & v2_pre_topc(A)
% 0.91/0.99 & l1_pre_topc(A) )
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( ( ~ v3_struct_0(B)
% 0.91/0.99 & m1_pre_topc(B,A) )
% 0.91/0.99 => ( r1_borsuk_1(A,B)
% 0.91/0.99 <=> ? [C] :
% 0.91/0.99 ( v1_funct_1(C)
% 0.91/0.99 & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
% 0.91/0.99 & v5_pre_topc(C,A,B)
% 0.91/0.99 & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
% 0.91/0.99 & v3_borsuk_1(C,A,B) ) ) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(dt_k1_xboole_0,axiom,
% 0.91/0.99 $true ).
% 0.91/0.99
% 0.91/0.99 fof(dt_k1_zfmisc_1,axiom,
% 0.91/0.99 $true ).
% 0.91/0.99
% 0.91/0.99 fof(dt_k2_zfmisc_1,axiom,
% 0.91/0.99 $true ).
% 0.91/0.99
% 0.91/0.99 fof(dt_l1_pre_topc,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => l1_struct_0(A) ) ).
% 0.91/0.99
% 0.91/0.99 fof(dt_l1_struct_0,axiom,
% 0.91/0.99 $true ).
% 0.91/0.99
% 0.91/0.99 fof(dt_m1_pre_topc,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m1_pre_topc(B,A)
% 0.91/0.99 => l1_pre_topc(B) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(dt_m1_relset_1,axiom,
% 0.91/0.99 $true ).
% 0.91/0.99
% 0.91/0.99 fof(dt_m1_subset_1,axiom,
% 0.91/0.99 $true ).
% 0.91/0.99
% 0.91/0.99 fof(dt_m2_relset_1,axiom,
% 0.91/0.99 ! [A,B,C] :
% 0.91/0.99 ( m2_relset_1(C,A,B)
% 0.91/0.99 => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ).
% 0.91/0.99
% 0.91/0.99 fof(dt_m2_tsp_1,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/0.99 => ! [B] :
% 0.91/0.99 ( m2_tsp_1(B,A)
% 0.91/0.99 => l1_pre_topc(B) ) ) ).
% 0.91/0.99
% 0.91/0.99 fof(dt_u1_struct_0,axiom,
% 0.91/0.99 $true ).
% 0.91/0.99
% 0.91/0.99 fof(existence_l1_pre_topc,axiom,
% 0.91/0.99 ? [A] : l1_pre_topc(A) ).
% 0.91/0.99
% 0.91/0.99 fof(existence_l1_struct_0,axiom,
% 0.91/0.99 ? [A] : l1_struct_0(A) ).
% 0.91/0.99
% 0.91/0.99 fof(existence_m1_pre_topc,axiom,
% 0.91/0.99 ! [A] :
% 0.91/0.99 ( l1_pre_topc(A)
% 0.91/1.00 => ? [B] : m1_pre_topc(B,A) ) ).
% 0.91/1.00
% 0.91/1.00 fof(existence_m1_relset_1,axiom,
% 0.91/1.00 ! [A,B] :
% 0.91/1.00 ? [C] : m1_relset_1(C,A,B) ).
% 0.91/1.00
% 0.91/1.00 fof(existence_m1_subset_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ? [B] : m1_subset_1(B,A) ).
% 0.91/1.00
% 0.91/1.00 fof(existence_m2_relset_1,axiom,
% 0.91/1.00 ! [A,B] :
% 0.91/1.00 ? [C] : m2_relset_1(C,A,B) ).
% 0.91/1.00
% 0.91/1.00 fof(existence_m2_tsp_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( l1_pre_topc(A)
% 0.91/1.00 => ? [B] : m2_tsp_1(B,A) ) ).
% 0.91/1.00
% 0.91/1.00 fof(fc1_struct_0,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ( ~ v3_struct_0(A)
% 0.91/1.00 & l1_struct_0(A) )
% 0.91/1.00 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 0.91/1.00
% 0.91/1.00 fof(fc1_subset_1,axiom,
% 0.91/1.00 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 0.91/1.00
% 0.91/1.00 fof(fc4_subset_1,axiom,
% 0.91/1.00 ! [A,B] :
% 0.91/1.00 ( ( ~ v1_xboole_0(A)
% 0.91/1.00 & ~ v1_xboole_0(B) )
% 0.91/1.00 => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ).
% 0.91/1.00
% 0.91/1.00 fof(fc6_membered,axiom,
% 0.91/1.00 ( v1_xboole_0(k1_xboole_0)
% 0.91/1.00 & v1_membered(k1_xboole_0)
% 0.91/1.00 & v2_membered(k1_xboole_0)
% 0.91/1.00 & v3_membered(k1_xboole_0)
% 0.91/1.00 & v4_membered(k1_xboole_0)
% 0.91/1.00 & v5_membered(k1_xboole_0) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc1_membered,axiom,
% 0.91/1.00 ? [A] :
% 0.91/1.00 ( ~ v1_xboole_0(A)
% 0.91/1.00 & v1_membered(A)
% 0.91/1.00 & v2_membered(A)
% 0.91/1.00 & v3_membered(A)
% 0.91/1.00 & v4_membered(A)
% 0.91/1.00 & v5_membered(A) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc1_subset_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ~ v1_xboole_0(A)
% 0.91/1.00 => ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.91/1.00 & ~ v1_xboole_0(B) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc1_tops_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ( v2_pre_topc(A)
% 0.91/1.00 & l1_pre_topc(A) )
% 0.91/1.00 => ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/1.00 & v3_pre_topc(B,A) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc2_subset_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.91/1.00 & v1_xboole_0(B) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc2_tops_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ( v2_pre_topc(A)
% 0.91/1.00 & l1_pre_topc(A) )
% 0.91/1.00 => ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/1.00 & v3_pre_topc(B,A)
% 0.91/1.00 & v4_pre_topc(B,A) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc3_struct_0,axiom,
% 0.91/1.00 ? [A] :
% 0.91/1.00 ( l1_struct_0(A)
% 0.91/1.00 & ~ v3_struct_0(A) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc3_tops_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ( ~ v3_struct_0(A)
% 0.91/1.00 & v2_pre_topc(A)
% 0.91/1.00 & l1_pre_topc(A) )
% 0.91/1.00 => ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/1.00 & ~ v1_xboole_0(B)
% 0.91/1.00 & v3_pre_topc(B,A)
% 0.91/1.00 & v4_pre_topc(B,A) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc4_tops_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( l1_pre_topc(A)
% 0.91/1.00 => ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/1.00 & v1_xboole_0(B)
% 0.91/1.00 & v1_membered(B)
% 0.91/1.00 & v2_membered(B)
% 0.91/1.00 & v3_membered(B)
% 0.91/1.00 & v4_membered(B)
% 0.91/1.00 & v5_membered(B)
% 0.91/1.00 & v2_tops_1(B,A) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc5_struct_0,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ( ~ v3_struct_0(A)
% 0.91/1.00 & l1_struct_0(A) )
% 0.91/1.00 => ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/1.00 & ~ v1_xboole_0(B) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc5_tops_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ( v2_pre_topc(A)
% 0.91/1.00 & l1_pre_topc(A) )
% 0.91/1.00 => ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/1.00 & v1_xboole_0(B)
% 0.91/1.00 & v3_pre_topc(B,A)
% 0.91/1.00 & v4_pre_topc(B,A)
% 0.91/1.00 & v1_membered(B)
% 0.91/1.00 & v2_membered(B)
% 0.91/1.00 & v3_membered(B)
% 0.91/1.00 & v4_membered(B)
% 0.91/1.00 & v5_membered(B)
% 0.91/1.00 & v2_tops_1(B,A)
% 0.91/1.00 & v3_tops_1(B,A) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc6_pre_topc,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ( v2_pre_topc(A)
% 0.91/1.00 & l1_pre_topc(A) )
% 0.91/1.00 => ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/1.00 & v4_pre_topc(B,A) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(rc7_pre_topc,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ( ~ v3_struct_0(A)
% 0.91/1.00 & v2_pre_topc(A)
% 0.91/1.00 & l1_pre_topc(A) )
% 0.91/1.00 => ? [B] :
% 0.91/1.00 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.91/1.00 & ~ v1_xboole_0(B)
% 0.91/1.00 & v4_pre_topc(B,A) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(redefinition_m2_relset_1,axiom,
% 0.91/1.00 ! [A,B,C] :
% 0.91/1.00 ( m2_relset_1(C,A,B)
% 0.91/1.00 <=> m1_relset_1(C,A,B) ) ).
% 0.91/1.00
% 0.91/1.00 fof(redefinition_m2_tsp_1,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( l1_pre_topc(A)
% 0.91/1.00 => ! [B] :
% 0.91/1.00 ( m2_tsp_1(B,A)
% 0.91/1.00 <=> m1_pre_topc(B,A) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(reflexivity_r1_tarski,axiom,
% 0.91/1.00 ! [A,B] : r1_tarski(A,A) ).
% 0.91/1.00
% 0.91/1.00 fof(t1_subset,axiom,
% 0.91/1.00 ! [A,B] :
% 0.91/1.00 ( r2_hidden(A,B)
% 0.91/1.00 => m1_subset_1(A,B) ) ).
% 0.91/1.00
% 0.91/1.00 fof(t22_tsp_2,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( ( ~ v3_struct_0(A)
% 0.91/1.00 & v2_pre_topc(A)
% 0.91/1.00 & l1_pre_topc(A) )
% 0.91/1.00 => ! [B] :
% 0.91/1.00 ( ( ~ v3_struct_0(B)
% 0.91/1.00 & v2_tsp_2(B,A)
% 0.91/1.00 & m2_tsp_1(B,A) )
% 0.91/1.00 => ? [C] :
% 0.91/1.00 ( v1_funct_1(C)
% 0.91/1.00 & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
% 0.91/1.00 & v5_pre_topc(C,A,B)
% 0.91/1.00 & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
% 0.91/1.00 & v3_borsuk_1(C,A,B) ) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(t2_subset,axiom,
% 0.91/1.00 ! [A,B] :
% 0.91/1.00 ( m1_subset_1(A,B)
% 0.91/1.00 => ( v1_xboole_0(B)
% 0.91/1.00 | r2_hidden(A,B) ) ) ).
% 0.91/1.00
% 0.91/1.00 fof(t3_subset,axiom,
% 0.91/1.00 ! [A,B] :
% 0.91/1.00 ( m1_subset_1(A,k1_zfmisc_1(B))
% 0.91/1.00 <=> r1_tarski(A,B) ) ).
% 0.91/1.00
% 0.91/1.00 fof(t4_subset,axiom,
% 0.91/1.00 ! [A,B,C] :
% 0.91/1.00 ( ( r2_hidden(A,B)
% 0.91/1.00 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 0.91/1.00 => m1_subset_1(A,C) ) ).
% 0.91/1.00
% 0.91/1.00 fof(t5_subset,axiom,
% 0.91/1.00 ! [A,B,C] :
% 0.91/1.00 ~ ( r2_hidden(A,B)
% 0.91/1.00 & m1_subset_1(B,k1_zfmisc_1(C))
% 0.91/1.00 & v1_xboole_0(C) ) ).
% 0.91/1.00
% 0.91/1.00 fof(t6_boole,axiom,
% 0.91/1.00 ! [A] :
% 0.91/1.00 ( v1_xboole_0(A)
% 0.91/1.00 => A = k1_xboole_0 ) ).
% 0.91/1.00
% 0.91/1.00 fof(t7_boole,axiom,
% 0.91/1.00 ! [A,B] :
% 0.91/1.00 ~ ( r2_hidden(A,B)
% 0.91/1.00 & v1_xboole_0(B) ) ).
% 0.91/1.00
% 0.91/1.00 fof(t8_boole,axiom,
% 0.91/1.00 ! [A,B] :
% 0.91/1.00 ~ ( v1_xboole_0(A)
% 0.91/1.00 & A != B
% 0.91/1.00 & v1_xboole_0(B) ) ).
% 0.91/1.00
% 0.91/1.00 %------------------------------------------------------------------------------
% 0.91/1.00 %-------------------------------------------
% 0.91/1.00 % Proof found
% 0.91/1.00 % SZS status Theorem for theBenchmark
% 0.91/1.00 % SZS output start Proof
% 0.91/1.00 %ClaNum:294(EqnAxiom:97)
% 0.91/1.00 %VarNum:766(SingletonVarNum:239)
% 0.91/1.00 %MaxLitNum:11
% 0.91/1.00 %MaxfuncDepth:2
% 0.91/1.00 %SharedTerms:30
% 0.91/1.00 %goalClause: 98 99 115 116 122 123 127
% 0.91/1.00 %singleGoalClaCount:7
% 0.91/1.00 [98]P1(a1)
% 0.91/1.00 [99]P2(a1)
% 0.91/1.00 [100]P2(a12)
% 0.91/1.00 [101]P3(a19)
% 0.91/1.00 [102]P3(a2)
% 0.91/1.00 [103]P17(a19)
% 0.91/1.00 [104]P17(a2)
% 0.91/1.00 [105]P26(a19)
% 0.91/1.00 [106]P26(a2)
% 0.91/1.00 [107]P33(a19)
% 0.91/1.00 [108]P33(a2)
% 0.91/1.00 [109]P39(a19)
% 0.91/1.00 [110]P39(a2)
% 0.91/1.00 [111]P18(a19)
% 0.91/1.00 [112]P4(a20)
% 0.91/1.00 [113]P4(a4)
% 0.91/1.00 [115]P27(a13,a1)
% 0.91/1.00 [116]P5(a13,a1)
% 0.91/1.00 [122]~P34(a1)
% 0.91/1.00 [123]~P34(a13)
% 0.91/1.00 [124]~P34(a4)
% 0.91/1.00 [125]~P18(a2)
% 0.91/1.00 [127]~P11(a1,a13)
% 0.91/1.00 [117]P10(x1171,x1171)
% 0.91/1.00 [114]P18(f5(x1141))
% 0.91/1.00 [118]P6(f21(x1181),x1181)
% 0.91/1.00 [119]P6(f5(x1191),f25(x1191))
% 0.91/1.00 [126]~P18(f25(x1261))
% 0.91/1.00 [120]P9(f24(x1201,x1202),x1201,x1202)
% 0.91/1.00 [121]P7(f22(x1211,x1212),x1211,x1212)
% 0.91/1.00 [128]~P18(x1281)+E(x1281,a19)
% 0.91/1.00 [129]~P17(x1291)+P3(x1291)
% 0.91/1.00 [130]~P18(x1301)+P3(x1301)
% 0.91/1.00 [131]~P26(x1311)+P17(x1311)
% 0.91/1.00 [132]~P18(x1321)+P17(x1321)
% 0.91/1.00 [133]~P33(x1331)+P26(x1331)
% 0.91/1.00 [134]~P18(x1341)+P26(x1341)
% 0.91/1.00 [135]~P39(x1351)+P33(x1351)
% 0.91/1.00 [136]~P18(x1361)+P33(x1361)
% 0.91/1.00 [137]~P18(x1371)+P39(x1371)
% 0.91/1.00 [138]~P2(x1381)+P4(x1381)
% 0.91/1.00 [140]~P2(x1401)+P3(f9(x1401))
% 0.91/1.00 [141]~P2(x1411)+P17(f9(x1411))
% 0.91/1.00 [142]~P2(x1421)+P26(f9(x1421))
% 0.91/1.00 [143]~P2(x1431)+P33(f9(x1431))
% 0.91/1.00 [144]~P2(x1441)+P39(f9(x1441))
% 0.91/1.00 [145]~P2(x1451)+P18(f9(x1451))
% 0.91/1.00 [146]P18(x1461)+~P18(f6(x1461))
% 0.91/1.00 [155]~P2(x1551)+P5(f3(x1551),x1551)
% 0.91/1.00 [156]~P2(x1561)+P8(f23(x1561),x1561)
% 0.91/1.00 [157]~P2(x1571)+P29(f9(x1571),x1571)
% 0.91/1.00 [164]P18(x1641)+P6(f6(x1641),f25(x1641))
% 0.91/1.00 [232]~P2(x2321)+P6(f9(x2321),f25(f26(x2321)))
% 0.91/1.00 [160]~P18(x1601)+~P12(x1602,x1601)
% 0.91/1.00 [192]~P12(x1921,x1922)+P6(x1921,x1922)
% 0.91/1.00 [231]~P12(x2312,x2311)+~P12(x2311,x2312)
% 0.91/1.00 [213]~P10(x2131,x2132)+P6(x2131,f25(x2132))
% 0.91/1.00 [233]P10(x2331,x2332)+~P6(x2331,f25(x2332))
% 0.91/1.00 [283]~P7(x2831,x2832,x2833)+P9(x2831,x2832,x2833)
% 0.91/1.00 [284]~P9(x2841,x2842,x2843)+P7(x2841,x2842,x2843)
% 0.91/1.00 [279]P21(x2791)+~P6(x2791,f25(f27(x2792,x2793)))
% 0.91/1.00 [289]~P9(x2891,x2892,x2893)+P6(x2891,f25(f27(x2892,x2893)))
% 0.91/1.00 [149]~P1(x1491)+~P2(x1491)+P3(f14(x1491))
% 0.91/1.00 [150]~P1(x1501)+~P2(x1501)+P17(f14(x1501))
% 0.91/1.00 [151]~P1(x1511)+~P2(x1511)+P26(f14(x1511))
% 0.91/1.00 [152]~P1(x1521)+~P2(x1521)+P33(f14(x1521))
% 0.91/1.00 [153]~P1(x1531)+~P2(x1531)+P39(f14(x1531))
% 0.91/1.00 [154]~P1(x1541)+~P2(x1541)+P18(f14(x1541))
% 0.91/1.00 [158]~P4(x1581)+P34(x1581)+~P18(f26(x1581))
% 0.91/1.00 [159]~P4(x1591)+P34(x1591)+~P18(f11(x1591))
% 0.91/1.00 [182]~P1(x1821)+~P2(x1821)+P36(f7(x1821),x1821)
% 0.91/1.00 [183]~P1(x1831)+~P2(x1831)+P36(f8(x1831),x1831)
% 0.91/1.00 [184]~P1(x1841)+~P2(x1841)+P36(f14(x1841),x1841)
% 0.91/1.00 [185]~P1(x1851)+~P2(x1851)+P41(f8(x1851),x1851)
% 0.91/1.00 [186]~P1(x1861)+~P2(x1861)+P41(f14(x1861),x1861)
% 0.91/1.00 [187]~P1(x1871)+~P2(x1871)+P41(f15(x1871),x1871)
% 0.91/1.00 [188]~P1(x1881)+~P2(x1881)+P29(f14(x1881),x1881)
% 0.91/1.00 [189]~P1(x1891)+~P2(x1891)+P37(f14(x1891),x1891)
% 0.91/1.00 [234]~P4(x2341)+P34(x2341)+P6(f11(x2341),f25(f26(x2341)))
% 0.91/1.00 [235]~P1(x2351)+~P2(x2351)+P6(f7(x2351),f25(f26(x2351)))
% 0.91/1.00 [236]~P1(x2361)+~P2(x2361)+P6(f8(x2361),f25(f26(x2361)))
% 0.91/1.00 [237]~P1(x2371)+~P2(x2371)+P6(f14(x2371),f25(f26(x2371)))
% 0.91/1.00 [238]~P1(x2381)+~P2(x2381)+P6(f15(x2381),f25(f26(x2381)))
% 0.91/1.00 [139]~P18(x1392)+~P18(x1391)+E(x1391,x1392)
% 0.91/1.00 [165]~P5(x1651,x1652)+P2(x1651)+~P2(x1652)
% 0.91/1.00 [166]~P8(x1661,x1662)+P2(x1661)+~P2(x1662)
% 0.91/1.00 [167]~P6(x1671,x1672)+P24(x1671)+~P3(x1672)
% 0.91/1.00 [168]~P6(x1681,x1682)+P24(x1681)+~P17(x1682)
% 0.91/1.00 [169]~P6(x1691,x1692)+P24(x1691)+~P26(x1692)
% 0.91/1.00 [170]~P6(x1701,x1702)+P24(x1701)+~P33(x1702)
% 0.91/1.00 [171]~P6(x1711,x1712)+P24(x1711)+~P39(x1712)
% 0.91/1.00 [172]~P6(x1721,x1722)+P25(x1721)+~P17(x1722)
% 0.91/1.00 [173]~P6(x1731,x1732)+P25(x1731)+~P26(x1732)
% 0.91/1.00 [174]~P6(x1741,x1742)+P25(x1741)+~P33(x1742)
% 0.91/1.00 [175]~P6(x1751,x1752)+P25(x1751)+~P39(x1752)
% 0.91/1.00 [176]~P6(x1761,x1762)+P20(x1761)+~P26(x1762)
% 0.91/1.00 [177]~P6(x1771,x1772)+P20(x1771)+~P33(x1772)
% 0.91/1.00 [178]~P6(x1781,x1782)+P20(x1781)+~P39(x1782)
% 0.91/1.00 [179]~P6(x1791,x1792)+P13(x1791)+~P33(x1792)
% 0.91/1.00 [180]~P6(x1801,x1802)+P13(x1801)+~P39(x1802)
% 0.91/1.00 [181]~P6(x1811,x1812)+P40(x1811)+~P39(x1812)
% 0.91/1.00 [212]~P6(x2122,x2121)+P18(x2121)+P12(x2122,x2121)
% 0.91/1.00 [229]~P2(x2292)+~P8(x2291,x2292)+P5(x2291,x2292)
% 0.91/1.00 [230]~P2(x2302)+~P5(x2301,x2302)+P8(x2301,x2302)
% 0.91/1.00 [214]P3(x2141)+~P3(x2142)+~P6(x2141,f25(x2142))
% 0.91/1.00 [215]P3(x2151)+~P17(x2152)+~P6(x2151,f25(x2152))
% 0.91/1.00 [216]P3(x2161)+~P26(x2162)+~P6(x2161,f25(x2162))
% 0.91/1.00 [217]P3(x2171)+~P33(x2172)+~P6(x2171,f25(x2172))
% 0.91/1.00 [218]P3(x2181)+~P39(x2182)+~P6(x2181,f25(x2182))
% 0.91/1.00 [219]P17(x2191)+~P17(x2192)+~P6(x2191,f25(x2192))
% 0.91/1.00 [220]P17(x2201)+~P26(x2202)+~P6(x2201,f25(x2202))
% 0.91/1.00 [221]P17(x2211)+~P33(x2212)+~P6(x2211,f25(x2212))
% 0.91/1.00 [222]P17(x2221)+~P39(x2222)+~P6(x2221,f25(x2222))
% 0.91/1.00 [223]P26(x2231)+~P26(x2232)+~P6(x2231,f25(x2232))
% 0.91/1.00 [224]P26(x2241)+~P33(x2242)+~P6(x2241,f25(x2242))
% 0.91/1.00 [225]P26(x2251)+~P39(x2252)+~P6(x2251,f25(x2252))
% 0.91/1.00 [226]P33(x2261)+~P33(x2262)+~P6(x2261,f25(x2262))
% 0.91/1.00 [227]P33(x2271)+~P39(x2272)+~P6(x2271,f25(x2272))
% 0.91/1.00 [228]P39(x2281)+~P39(x2282)+~P6(x2281,f25(x2282))
% 0.91/1.00 [239]P18(x2391)+P18(x2392)+~P18(f27(x2392,x2391))
% 0.91/1.00 [244]~P18(x2441)+~P12(x2442,x2443)+~P6(x2443,f25(x2441))
% 0.91/1.00 [248]P6(x2481,x2482)+~P12(x2481,x2483)+~P6(x2483,f25(x2482))
% 0.91/1.00 [148]P28(x1481)+~P2(x1481)+~P35(x1481)+P34(x1481)
% 0.91/1.00 [190]~P1(x1901)+~P2(x1901)+P34(x1901)+~P18(f10(x1901))
% 0.91/1.00 [191]~P1(x1911)+~P2(x1911)+P34(x1911)+~P18(f16(x1911))
% 0.91/1.00 [208]~P1(x2081)+~P2(x2081)+P34(x2081)+P36(f10(x2081),x2081)
% 0.91/1.00 [209]~P1(x2091)+~P2(x2091)+P34(x2091)+P41(f10(x2091),x2091)
% 0.91/1.00 [210]~P1(x2101)+~P2(x2101)+P34(x2101)+P41(f16(x2101),x2101)
% 0.91/1.00 [240]~P1(x2401)+~P2(x2401)+P34(x2401)+P6(f10(x2401),f25(f26(x2401)))
% 0.91/1.00 [241]~P1(x2411)+~P2(x2411)+P34(x2411)+P6(f16(x2411),f25(f26(x2411)))
% 0.91/1.00 [211]~P2(x2112)+~P8(x2111,x2112)+P1(x2111)+~P1(x2112)
% 0.91/1.00 [254]~P2(x2542)+~P18(x2541)+P29(x2541,x2542)+~P6(x2541,f25(f26(x2542)))
% 0.91/1.00 [162]P28(x1621)+~P1(x1621)+~P2(x1621)+~P19(x1621)+P34(x1621)
% 0.91/1.00 [255]~P1(x2552)+~P2(x2552)+~P18(x2551)+P36(x2551,x2552)+~P6(x2551,f25(f26(x2552)))
% 0.91/1.00 [256]~P1(x2562)+~P2(x2562)+~P18(x2561)+P41(x2561,x2562)+~P6(x2561,f25(f26(x2562)))
% 0.91/1.00 [257]~P1(x2572)+~P2(x2572)+~P18(x2571)+P37(x2571,x2572)+~P6(x2571,f25(f26(x2572)))
% 0.91/1.00 [266]~P1(x2662)+~P2(x2662)+~P37(x2661,x2662)+P29(x2661,x2662)+~P6(x2661,f25(f26(x2662)))
% 0.91/1.00 [193]P19(x1931)+~P1(x1931)+~P2(x1931)+~P28(x1931)+~P35(x1931)+P34(x1931)
% 0.91/1.00 [195]P19(x1951)+~P1(x1951)+~P2(x1951)+~P28(x1951)+~P30(x1951)+P34(x1951)
% 0.91/1.00 [198]P19(x1981)+~P1(x1981)+~P2(x1981)+~P28(x1981)+~P38(x1981)+P34(x1981)
% 0.91/1.00 [199]P19(x1991)+~P1(x1991)+~P2(x1991)+~P35(x1991)+~P38(x1991)+P34(x1991)
% 0.91/1.00 [202]P35(x2021)+~P1(x2021)+~P2(x2021)+~P28(x2021)+~P30(x2021)+P34(x2021)
% 0.91/1.00 [203]P38(x2031)+~P1(x2031)+~P2(x2031)+~P28(x2031)+~P30(x2031)+P34(x2031)
% 0.91/1.00 [204]P42(x2041)+~P1(x2041)+~P2(x2041)+~P28(x2041)+~P30(x2041)+P34(x2041)
% 0.91/1.00 [205]P42(x2051)+~P1(x2051)+~P2(x2051)+~P28(x2051)+~P38(x2051)+P34(x2051)
% 0.91/1.00 [206]P43(x2061)+~P1(x2061)+~P2(x2061)+~P28(x2061)+~P30(x2061)+P34(x2061)
% 0.91/1.00 [207]P43(x2071)+~P1(x2071)+~P2(x2071)+~P28(x2071)+~P38(x2071)+P34(x2071)
% 0.91/1.00 [246]P28(x2462)+~P2(x2461)+~P27(x2462,x2461)+~P8(x2462,x2461)+P34(x2461)+P34(x2462)
% 0.91/1.00 [253]~P1(x2531)+~P2(x2531)+~P27(x2532,x2531)+~P8(x2532,x2531)+P34(x2531)+P22(x2532,x2531)
% 0.91/1.00 [273]~P2(x2732)+~P36(x2731,x2732)+~P37(x2731,x2732)+P3(x2731)+~P1(x2732)+~P6(x2731,f25(f26(x2732)))
% 0.91/1.00 [274]~P2(x2742)+~P36(x2741,x2742)+~P37(x2741,x2742)+P17(x2741)+~P1(x2742)+~P6(x2741,f25(f26(x2742)))
% 0.91/1.00 [275]~P2(x2752)+~P36(x2751,x2752)+~P37(x2751,x2752)+P26(x2751)+~P1(x2752)+~P6(x2751,f25(f26(x2752)))
% 0.91/1.00 [276]~P2(x2762)+~P36(x2761,x2762)+~P37(x2761,x2762)+P33(x2761)+~P1(x2762)+~P6(x2761,f25(f26(x2762)))
% 0.91/1.00 [277]~P2(x2772)+~P36(x2771,x2772)+~P37(x2771,x2772)+P39(x2771)+~P1(x2772)+~P6(x2771,f25(f26(x2772)))
% 0.91/1.00 [278]~P2(x2782)+~P36(x2781,x2782)+~P37(x2781,x2782)+P18(x2781)+~P1(x2782)+~P6(x2781,f25(f26(x2782)))
% 0.91/1.00 [280]~P1(x2802)+~P2(x2802)+~P36(x2801,x2802)+~P37(x2801,x2802)+P41(x2801,x2802)+~P6(x2801,f25(f26(x2802)))
% 0.91/1.00 [282]~P1(x2822)+~P2(x2822)+~P41(x2821,x2822)+~P29(x2821,x2822)+P37(x2821,x2822)+~P6(x2821,f25(f26(x2822)))
% 0.91/1.00 [242]P28(x2422)+~P1(x2421)+~P2(x2421)+~P28(x2421)+~P8(x2422,x2421)+P34(x2421)+P34(x2422)
% 0.91/1.00 [269]~P1(x2691)+~P2(x2691)+~P8(x2692,x2691)+~P31(x2692,x2691)+~P14(x2692,x2691)+P34(x2691)+~P27(x2692,x2691)
% 0.91/1.00 [272]~P1(x2721)+~P2(x2721)+~P8(x2722,x2721)+~P31(x2722,x2721)+~P23(x2722,x2721)+P34(x2721)+~P27(x2722,x2721)
% 0.91/1.00 [264]~P1(x2642)+~P2(x2642)+~P11(x2642,x2641)+~P8(x2641,x2642)+P34(x2641)+P34(x2642)+P15(f18(x2642,x2641))
% 0.91/1.00 [265]~P1(x2652)+~P2(x2652)+~P27(x2651,x2652)+~P5(x2651,x2652)+P34(x2651)+P34(x2652)+P15(f17(x2652,x2651))
% 0.91/1.00 [285]~P1(x2852)+~P2(x2852)+~P11(x2852,x2851)+~P8(x2851,x2852)+P34(x2851)+P34(x2852)+P44(f18(x2852,x2851),x2852,x2851)
% 0.91/1.00 [286]~P1(x2862)+~P2(x2862)+~P27(x2861,x2862)+~P5(x2861,x2862)+P34(x2861)+P34(x2862)+P44(f17(x2862,x2861),x2862,x2861)
% 0.91/1.00 [287]~P1(x2872)+~P2(x2872)+~P11(x2872,x2871)+~P8(x2871,x2872)+P34(x2871)+P34(x2872)+P32(f18(x2872,x2871),x2872,x2871)
% 0.91/1.00 [288]~P1(x2882)+~P2(x2882)+~P27(x2881,x2882)+~P5(x2881,x2882)+P34(x2881)+P34(x2882)+P32(f17(x2882,x2881),x2882,x2881)
% 0.91/1.00 [290]~P1(x2902)+~P2(x2902)+~P11(x2902,x2901)+~P8(x2901,x2902)+P34(x2901)+P34(x2902)+P16(f18(x2902,x2901),f26(x2902),f26(x2901))
% 0.91/1.00 [291]~P1(x2912)+~P2(x2912)+~P27(x2911,x2912)+~P5(x2911,x2912)+P34(x2911)+P34(x2912)+P16(f17(x2912,x2911),f26(x2912),f26(x2911))
% 0.91/1.00 [292]~P1(x2922)+~P2(x2922)+~P11(x2922,x2921)+~P8(x2921,x2922)+P34(x2921)+P34(x2922)+P9(f18(x2922,x2921),f26(x2922),f26(x2921))
% 0.91/1.00 [293]~P1(x2932)+~P2(x2932)+~P27(x2931,x2932)+~P5(x2931,x2932)+P34(x2931)+P34(x2932)+P9(f17(x2932,x2931),f26(x2932),f26(x2931))
% 0.91/1.00 [250]P28(x2501)+P31(x2502,x2501)+~P1(x2501)+~P2(x2501)+~P28(x2502)+~P8(x2502,x2501)+P34(x2501)+P34(x2502)
% 0.91/1.00 [251]P28(x2511)+P31(x2512,x2511)+~P1(x2511)+~P2(x2511)+~P35(x2512)+~P8(x2512,x2511)+P34(x2511)+P34(x2512)
% 0.91/1.00 [294]P11(x2942,x2941)+~P1(x2942)+~P2(x2942)+~P8(x2941,x2942)+~P44(x2943,x2942,x2941)+~P32(x2943,x2942,x2941)+P34(x2941)+P34(x2942)+~P15(x2943)+~P16(x2943,f26(x2942),f26(x2941))+~P9(x2943,f26(x2942),f26(x2941))
% 0.91/1.00 %EqnAxiom
% 0.91/1.00 [1]E(x11,x11)
% 0.91/1.00 [2]E(x22,x21)+~E(x21,x22)
% 0.91/1.00 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.91/1.00 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.91/1.00 [5]~E(x51,x52)+E(f21(x51),f21(x52))
% 0.91/1.00 [6]~E(x61,x62)+E(f26(x61),f26(x62))
% 0.91/1.00 [7]~E(x71,x72)+E(f25(x71),f25(x72))
% 0.91/1.00 [8]~E(x81,x82)+E(f24(x81,x83),f24(x82,x83))
% 0.91/1.00 [9]~E(x91,x92)+E(f24(x93,x91),f24(x93,x92))
% 0.91/1.00 [10]~E(x101,x102)+E(f22(x101,x103),f22(x102,x103))
% 0.91/1.00 [11]~E(x111,x112)+E(f22(x113,x111),f22(x113,x112))
% 0.91/1.00 [12]~E(x121,x122)+E(f27(x121,x123),f27(x122,x123))
% 0.91/1.00 [13]~E(x131,x132)+E(f27(x133,x131),f27(x133,x132))
% 0.91/1.00 [14]~E(x141,x142)+E(f9(x141),f9(x142))
% 0.91/1.00 [15]~E(x151,x152)+E(f11(x151),f11(x152))
% 0.91/1.00 [16]~E(x161,x162)+E(f17(x161,x163),f17(x162,x163))
% 0.91/1.00 [17]~E(x171,x172)+E(f17(x173,x171),f17(x173,x172))
% 0.91/1.00 [18]~E(x181,x182)+E(f7(x181),f7(x182))
% 0.91/1.00 [19]~E(x191,x192)+E(f18(x191,x193),f18(x192,x193))
% 0.91/1.00 [20]~E(x201,x202)+E(f18(x203,x201),f18(x203,x202))
% 0.91/1.00 [21]~E(x211,x212)+E(f8(x211),f8(x212))
% 0.91/1.00 [22]~E(x221,x222)+E(f6(x221),f6(x222))
% 0.91/1.00 [23]~E(x231,x232)+E(f14(x231),f14(x232))
% 0.91/1.00 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 0.91/1.00 [25]~E(x251,x252)+E(f15(x251),f15(x252))
% 0.91/1.00 [26]~E(x261,x262)+E(f16(x261),f16(x262))
% 0.91/1.00 [27]~E(x271,x272)+E(f23(x271),f23(x272))
% 0.91/1.00 [28]~E(x281,x282)+E(f3(x281),f3(x282))
% 0.91/1.00 [29]~P1(x291)+P1(x292)+~E(x291,x292)
% 0.91/1.00 [30]~P2(x301)+P2(x302)+~E(x301,x302)
% 0.91/1.00 [31]~P18(x311)+P18(x312)+~E(x311,x312)
% 0.91/1.00 [32]~P3(x321)+P3(x322)+~E(x321,x322)
% 0.91/1.00 [33]P41(x332,x333)+~E(x331,x332)+~P41(x331,x333)
% 0.91/1.00 [34]P41(x343,x342)+~E(x341,x342)+~P41(x343,x341)
% 0.91/1.00 [35]~P17(x351)+P17(x352)+~E(x351,x352)
% 0.91/1.00 [36]P37(x362,x363)+~E(x361,x362)+~P37(x361,x363)
% 0.91/1.00 [37]P37(x373,x372)+~E(x371,x372)+~P37(x373,x371)
% 0.91/1.00 [38]~P26(x381)+P26(x382)+~E(x381,x382)
% 0.91/1.00 [39]~P34(x391)+P34(x392)+~E(x391,x392)
% 0.91/1.00 [40]~P33(x401)+P33(x402)+~E(x401,x402)
% 0.91/1.00 [41]P6(x412,x413)+~E(x411,x412)+~P6(x411,x413)
% 0.91/1.00 [42]P6(x423,x422)+~E(x421,x422)+~P6(x423,x421)
% 0.91/1.00 [43]~P39(x431)+P39(x432)+~E(x431,x432)
% 0.91/1.00 [44]~P30(x441)+P30(x442)+~E(x441,x442)
% 0.91/1.00 [45]P29(x452,x453)+~E(x451,x452)+~P29(x451,x453)
% 0.91/1.00 [46]P29(x463,x462)+~E(x461,x462)+~P29(x463,x461)
% 0.91/1.00 [47]~P4(x471)+P4(x472)+~E(x471,x472)
% 0.91/1.00 [48]~P19(x481)+P19(x482)+~E(x481,x482)
% 0.91/1.00 [49]P14(x492,x493)+~E(x491,x492)+~P14(x491,x493)
% 0.91/1.00 [50]P14(x503,x502)+~E(x501,x502)+~P14(x503,x501)
% 0.91/1.00 [51]P27(x512,x513)+~E(x511,x512)+~P27(x511,x513)
% 0.91/1.00 [52]P27(x523,x522)+~E(x521,x522)+~P27(x523,x521)
% 0.91/1.00 [53]P5(x532,x533)+~E(x531,x532)+~P5(x531,x533)
% 0.91/1.00 [54]P5(x543,x542)+~E(x541,x542)+~P5(x543,x541)
% 0.91/1.00 [55]P10(x552,x553)+~E(x551,x552)+~P10(x551,x553)
% 0.91/1.00 [56]P10(x563,x562)+~E(x561,x562)+~P10(x563,x561)
% 0.91/1.00 [57]~P28(x571)+P28(x572)+~E(x571,x572)
% 0.91/1.00 [58]P23(x582,x583)+~E(x581,x582)+~P23(x581,x583)
% 0.91/1.00 [59]P23(x593,x592)+~E(x591,x592)+~P23(x593,x591)
% 0.91/1.00 [60]P9(x602,x603,x604)+~E(x601,x602)+~P9(x601,x603,x604)
% 0.91/1.00 [61]P9(x613,x612,x614)+~E(x611,x612)+~P9(x613,x611,x614)
% 0.91/1.00 [62]P9(x623,x624,x622)+~E(x621,x622)+~P9(x623,x624,x621)
% 0.91/1.00 [63]P7(x632,x633,x634)+~E(x631,x632)+~P7(x631,x633,x634)
% 0.91/1.00 [64]P7(x643,x642,x644)+~E(x641,x642)+~P7(x643,x641,x644)
% 0.91/1.00 [65]P7(x653,x654,x652)+~E(x651,x652)+~P7(x653,x654,x651)
% 0.91/1.00 [66]P8(x662,x663)+~E(x661,x662)+~P8(x661,x663)
% 0.91/1.00 [67]P8(x673,x672)+~E(x671,x672)+~P8(x673,x671)
% 0.91/1.00 [68]~P35(x681)+P35(x682)+~E(x681,x682)
% 0.91/1.00 [69]~P15(x691)+P15(x692)+~E(x691,x692)
% 0.91/1.00 [70]P36(x702,x703)+~E(x701,x702)+~P36(x701,x703)
% 0.91/1.00 [71]P36(x713,x712)+~E(x711,x712)+~P36(x713,x711)
% 0.91/1.00 [72]~P43(x721)+P43(x722)+~E(x721,x722)
% 0.91/1.00 [73]P11(x732,x733)+~E(x731,x732)+~P11(x731,x733)
% 0.91/1.00 [74]P11(x743,x742)+~E(x741,x742)+~P11(x743,x741)
% 0.91/1.00 [75]P31(x752,x753)+~E(x751,x752)+~P31(x751,x753)
% 0.91/1.00 [76]P31(x763,x762)+~E(x761,x762)+~P31(x763,x761)
% 0.91/1.00 [77]~P25(x771)+P25(x772)+~E(x771,x772)
% 0.91/1.00 [78]~P21(x781)+P21(x782)+~E(x781,x782)
% 0.91/1.00 [79]~P38(x791)+P38(x792)+~E(x791,x792)
% 0.91/1.00 [80]P12(x802,x803)+~E(x801,x802)+~P12(x801,x803)
% 0.91/1.00 [81]P12(x813,x812)+~E(x811,x812)+~P12(x813,x811)
% 0.91/1.00 [82]P22(x822,x823)+~E(x821,x822)+~P22(x821,x823)
% 0.91/1.00 [83]P22(x833,x832)+~E(x831,x832)+~P22(x833,x831)
% 0.91/1.00 [84]P16(x842,x843,x844)+~E(x841,x842)+~P16(x841,x843,x844)
% 0.91/1.00 [85]P16(x853,x852,x854)+~E(x851,x852)+~P16(x853,x851,x854)
% 0.91/1.00 [86]P16(x863,x864,x862)+~E(x861,x862)+~P16(x863,x864,x861)
% 0.91/1.00 [87]P44(x872,x873,x874)+~E(x871,x872)+~P44(x871,x873,x874)
% 0.91/1.00 [88]P44(x883,x882,x884)+~E(x881,x882)+~P44(x883,x881,x884)
% 0.91/1.00 [89]P44(x893,x894,x892)+~E(x891,x892)+~P44(x893,x894,x891)
% 0.91/1.00 [90]~P20(x901)+P20(x902)+~E(x901,x902)
% 0.91/1.00 [91]P32(x912,x913,x914)+~E(x911,x912)+~P32(x911,x913,x914)
% 0.91/1.00 [92]P32(x923,x922,x924)+~E(x921,x922)+~P32(x923,x921,x924)
% 0.91/1.00 [93]P32(x933,x934,x932)+~E(x931,x932)+~P32(x933,x934,x931)
% 0.91/1.00 [94]~P13(x941)+P13(x942)+~E(x941,x942)
% 0.91/1.00 [95]~P24(x951)+P24(x952)+~E(x951,x952)
% 0.91/1.00 [96]~P40(x961)+P40(x962)+~E(x961,x962)
% 0.91/1.00 [97]~P42(x971)+P42(x972)+~E(x971,x972)
% 0.91/1.00
% 0.91/1.00 %-------------------------------------------
% 0.91/1.01 cnf(297,plain,
% 0.91/1.01 (P6(f5(x2971),f25(x2971))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(300,plain,
% 0.91/1.01 (P6(f21(x3001),x3001)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(302,plain,
% 0.91/1.01 (P12(f21(a2),a2)),
% 0.91/1.01 inference(scs_inference,[],[111,125,118,300,119,160,279,233,212])).
% 0.91/1.01 cnf(303,plain,
% 0.91/1.01 (P6(f21(x3031),x3031)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(306,plain,
% 0.91/1.01 (P6(f21(x3061),x3061)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(309,plain,
% 0.91/1.01 (P6(f21(x3091),x3091)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(312,plain,
% 0.91/1.01 (P6(f21(x3121),x3121)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(315,plain,
% 0.91/1.01 (P6(f5(x3151),f25(x3151))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(318,plain,
% 0.91/1.01 (P6(f21(x3181),x3181)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(321,plain,
% 0.91/1.01 (P6(f5(x3211),f25(x3211))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(324,plain,
% 0.91/1.01 (P6(f21(x3241),x3241)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(327,plain,
% 0.91/1.01 (P6(f5(x3271),f25(x3271))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(330,plain,
% 0.91/1.01 (P6(f21(x3301),x3301)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(333,plain,
% 0.91/1.01 (P6(f5(x3331),f25(x3331))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(335,plain,
% 0.91/1.01 (P29(f5(f26(a1)),a1)),
% 0.91/1.01 inference(scs_inference,[],[99,107,109,111,125,118,300,303,306,309,312,318,324,114,119,297,315,321,327,333,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254])).
% 0.91/1.01 cnf(336,plain,
% 0.91/1.01 (P6(f5(x3361),f25(x3361))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(337,plain,
% 0.91/1.01 (P18(f5(x3371))),
% 0.91/1.01 inference(rename_variables,[],[114])).
% 0.91/1.01 cnf(339,plain,
% 0.91/1.01 (P37(f5(f26(a1)),a1)),
% 0.91/1.01 inference(scs_inference,[],[98,99,107,109,111,125,118,300,303,306,309,312,318,324,114,337,119,297,315,321,327,333,336,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257])).
% 0.91/1.01 cnf(340,plain,
% 0.91/1.01 (P6(f5(x3401),f25(x3401))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(341,plain,
% 0.91/1.01 (P18(f5(x3411))),
% 0.91/1.01 inference(rename_variables,[],[114])).
% 0.91/1.01 cnf(343,plain,
% 0.91/1.01 (P41(f5(f26(a1)),a1)),
% 0.91/1.01 inference(scs_inference,[],[98,99,107,109,111,125,118,300,303,306,309,312,318,324,114,337,341,119,297,315,321,327,333,336,340,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256])).
% 0.91/1.01 cnf(344,plain,
% 0.91/1.01 (P6(f5(x3441),f25(x3441))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(345,plain,
% 0.91/1.01 (P18(f5(x3451))),
% 0.91/1.01 inference(rename_variables,[],[114])).
% 0.91/1.01 cnf(347,plain,
% 0.91/1.01 (P36(f5(f26(a1)),a1)),
% 0.91/1.01 inference(scs_inference,[],[98,99,107,109,111,125,118,300,303,306,309,312,318,324,114,337,341,345,119,297,315,321,327,333,336,340,344,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255])).
% 0.91/1.01 cnf(348,plain,
% 0.91/1.01 (P6(f5(x3481),f25(x3481))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(349,plain,
% 0.91/1.01 (P18(f5(x3491))),
% 0.91/1.01 inference(rename_variables,[],[114])).
% 0.91/1.01 cnf(352,plain,
% 0.91/1.01 (P6(f5(x3521),f25(x3521))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(355,plain,
% 0.91/1.01 (P6(f5(x3551),f25(x3551))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(358,plain,
% 0.91/1.01 (P6(f5(x3581),f25(x3581))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(361,plain,
% 0.91/1.01 (P6(f5(x3611),f25(x3611))),
% 0.91/1.01 inference(rename_variables,[],[119])).
% 0.91/1.01 cnf(368,plain,
% 0.91/1.01 (P9(f22(x3681,x3682),x3681,x3682)),
% 0.91/1.01 inference(scs_inference,[],[98,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283])).
% 0.91/1.01 cnf(376,plain,
% 0.91/1.01 (P33(f5(x3761))),
% 0.91/1.01 inference(scs_inference,[],[98,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136])).
% 0.91/1.01 cnf(384,plain,
% 0.91/1.01 (E(f5(x3841),a19)),
% 0.91/1.01 inference(scs_inference,[],[98,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128])).
% 0.91/1.01 cnf(386,plain,
% 0.91/1.01 (P6(x3861,f25(x3861))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213])).
% 0.91/1.01 cnf(392,plain,
% 0.91/1.01 (P5(f3(a1),a1)),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155])).
% 0.91/1.01 cnf(400,plain,
% 0.91/1.01 (P33(f9(a1))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143])).
% 0.91/1.01 cnf(416,plain,
% 0.91/1.01 (E(f18(x4161,f5(x4162)),f18(x4161,a19))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20])).
% 0.91/1.01 cnf(417,plain,
% 0.91/1.01 (E(f18(f5(x4171),x4172),f18(a19,x4172))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19])).
% 0.91/1.01 cnf(419,plain,
% 0.91/1.01 (E(f17(x4191,f5(x4192)),f17(x4191,a19))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17])).
% 0.91/1.01 cnf(420,plain,
% 0.91/1.01 (E(f17(f5(x4201),x4202),f17(a19,x4202))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 0.91/1.01 cnf(425,plain,
% 0.91/1.01 (E(f22(x4251,f5(x4252)),f22(x4251,a19))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 0.91/1.01 cnf(429,plain,
% 0.91/1.01 (E(f25(f5(x4291)),f25(a19))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 0.91/1.01 cnf(431,plain,
% 0.91/1.01 (E(f21(f5(x4311)),f21(a19))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 0.91/1.01 cnf(437,plain,
% 0.91/1.01 (P6(f6(a2),f25(a2))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164])).
% 0.91/1.01 cnf(442,plain,
% 0.91/1.01 (~E(a19,a2)),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31])).
% 0.91/1.01 cnf(443,plain,
% 0.91/1.01 (P8(a13,a1)),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,107,109,111,125,120,121,118,300,303,306,309,312,318,324,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230])).
% 0.91/1.01 cnf(447,plain,
% 0.91/1.01 (P40(f21(a19))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181])).
% 0.91/1.01 cnf(457,plain,
% 0.91/1.01 (P2(f23(a1))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166])).
% 0.91/1.01 cnf(459,plain,
% 0.91/1.01 (P2(a13)),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165])).
% 0.91/1.01 cnf(463,plain,
% 0.91/1.01 (P37(f14(a1),a1)),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189])).
% 0.91/1.01 cnf(505,plain,
% 0.91/1.01 (P1(f23(a1))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,122,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211])).
% 0.91/1.01 cnf(509,plain,
% 0.91/1.01 (P41(f10(a1),a1)),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,122,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209])).
% 0.91/1.01 cnf(511,plain,
% 0.91/1.01 (P36(f10(a1),a1)),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,122,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209,208])).
% 0.91/1.01 cnf(515,plain,
% 0.91/1.01 (~P18(f10(a1))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,122,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209,208,191,190])).
% 0.91/1.01 cnf(519,plain,
% 0.91/1.01 (P6(f10(a1),f25(f26(a1)))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,116,122,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209,208,191,190,241,240])).
% 0.91/1.01 cnf(525,plain,
% 0.91/1.01 (P32(f17(a1,a13),a1,a13)),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,115,116,122,123,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209,208,191,190,241,240,253,246,288])).
% 0.91/1.01 cnf(527,plain,
% 0.91/1.01 (P44(f17(a1,a13),a1,a13)),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,115,116,122,123,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209,208,191,190,241,240,253,246,288,286])).
% 0.91/1.01 cnf(529,plain,
% 0.91/1.01 (P15(f17(a1,a13))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,115,116,122,123,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209,208,191,190,241,240,253,246,288,286,265])).
% 0.91/1.01 cnf(531,plain,
% 0.91/1.01 (P9(f17(a1,a13),f26(a1),f26(a13))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,115,116,122,123,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209,208,191,190,241,240,253,246,288,286,265,293])).
% 0.91/1.01 cnf(533,plain,
% 0.91/1.01 (P16(f17(a1,a13),f26(a1),f26(a13))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,115,116,122,123,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209,208,191,190,241,240,253,246,288,286,265,293,291])).
% 0.91/1.01 cnf(535,plain,
% 0.91/1.01 (E(a19,f5(f27(x5351,x5352)))),
% 0.91/1.01 inference(scs_inference,[],[98,117,99,115,116,122,123,127,107,109,111,125,120,121,118,300,303,306,309,312,318,324,330,114,337,341,345,349,119,297,315,321,327,333,336,340,344,348,352,355,358,361,160,279,233,212,244,228,227,226,225,224,222,221,218,217,254,257,256,255,277,276,275,274,273,284,283,231,138,137,136,134,132,130,128,213,157,156,155,146,145,144,143,142,141,140,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,289,232,164,81,80,78,31,230,229,181,180,178,175,171,166,165,239,189,188,187,186,185,184,183,182,159,158,154,153,152,151,150,149,238,237,236,235,234,211,210,209,208,191,190,241,240,253,246,288,286,265,293,291,294,2])).
% 0.91/1.01 cnf(551,plain,
% 0.91/1.01 (P9(f24(x5511,f5(x5512)),x5511,a19)),
% 0.91/1.01 inference(scs_inference,[],[120,384,62])).
% 0.91/1.01 cnf(552,plain,
% 0.91/1.01 (P9(f24(x5521,x5522),x5521,x5522)),
% 0.91/1.01 inference(rename_variables,[],[120])).
% 0.91/1.01 cnf(556,plain,
% 0.91/1.01 (E(f22(x5561,f5(x5562)),f22(x5561,a19))),
% 0.91/1.01 inference(rename_variables,[],[425])).
% 0.91/1.01 cnf(558,plain,
% 0.91/1.01 (P10(f18(x5581,f5(x5582)),f18(x5581,a19))),
% 0.91/1.01 inference(scs_inference,[],[117,120,552,368,416,425,384,62,61,60,56])).
% 0.91/1.01 cnf(559,plain,
% 0.91/1.01 (P10(x5591,x5591)),
% 0.91/1.01 inference(rename_variables,[],[117])).
% 0.91/1.01 cnf(563,plain,
% 0.91/1.01 (E(f5(x5631),a19)),
% 0.91/1.01 inference(rename_variables,[],[384])).
% 0.91/1.01 cnf(564,plain,
% 0.91/1.01 (P6(f21(f5(x5641)),a19)),
% 0.91/1.01 inference(scs_inference,[],[117,559,118,120,552,368,416,425,335,384,563,62,61,60,56,55,45,42])).
% 0.91/1.01 cnf(565,plain,
% 0.91/1.01 (P6(f21(x5651),x5651)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(567,plain,
% 0.91/1.01 (P6(f21(x5671),x5671)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(569,plain,
% 0.91/1.01 (E(f5(x5691),a19)),
% 0.91/1.01 inference(rename_variables,[],[384])).
% 0.91/1.01 cnf(570,plain,
% 0.91/1.01 (P41(a19,a1)),
% 0.91/1.01 inference(scs_inference,[],[117,559,118,565,120,552,368,416,425,335,339,343,431,384,563,569,62,61,60,56,55,45,42,41,36,33])).
% 0.91/1.01 cnf(571,plain,
% 0.91/1.01 (E(f5(x5711),a19)),
% 0.91/1.01 inference(rename_variables,[],[384])).
% 0.91/1.01 cnf(576,plain,
% 0.91/1.01 (P6(f21(x5761),x5761)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(579,plain,
% 0.91/1.01 (P6(f21(x5791),x5791)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(582,plain,
% 0.91/1.01 (P6(f21(x5821),x5821)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(585,plain,
% 0.91/1.01 (P6(f21(x5851),x5851)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(587,plain,
% 0.91/1.01 (~P37(f10(a1),a1)),
% 0.91/1.01 inference(scs_inference,[],[98,108,117,559,118,565,567,576,579,582,120,552,99,368,416,417,425,335,339,343,431,519,384,563,569,515,511,62,61,60,56,55,45,42,41,36,33,3,179,177,174,170,278])).
% 0.91/1.01 cnf(653,plain,
% 0.91/1.01 (P12(f21(f25(a2)),f25(a2))),
% 0.91/1.01 inference(scs_inference,[],[98,104,106,108,113,124,126,117,559,118,565,567,576,579,582,585,114,120,552,121,125,99,368,386,416,417,425,556,335,339,343,431,519,384,563,569,571,437,447,457,505,515,347,302,392,509,511,442,62,61,60,56,55,45,42,41,36,33,3,179,177,174,170,278,223,220,216,165,187,186,183,182,158,154,150,149,234,189,2,31,230,244,239,188,185,184,159,153,152,151,70,63,96,248,282,219,215,213,212])).
% 0.91/1.01 cnf(654,plain,
% 0.91/1.01 (P6(f21(x6541),x6541)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(659,plain,
% 0.91/1.01 (P1(a13)),
% 0.91/1.01 inference(scs_inference,[],[98,104,106,108,110,113,124,126,117,559,118,565,567,576,579,582,585,654,114,120,552,121,125,99,368,386,416,417,425,556,335,339,343,431,519,384,563,569,571,437,447,457,505,515,347,302,392,509,511,442,443,62,61,60,56,55,45,42,41,36,33,3,179,177,174,170,278,223,220,216,165,187,186,183,182,158,154,150,149,234,189,2,31,230,244,239,188,185,184,159,153,152,151,70,63,96,248,282,219,215,213,212,227,211])).
% 0.91/1.01 cnf(702,plain,
% 0.91/1.01 (P6(f21(x7021),x7021)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(705,plain,
% 0.91/1.01 (P6(f21(x7051),x7051)),
% 0.91/1.01 inference(rename_variables,[],[118])).
% 0.91/1.01 cnf(734,plain,
% 0.91/1.01 ($false),
% 0.91/1.01 inference(scs_inference,[],[99,127,118,702,705,119,106,109,123,122,463,533,531,419,420,529,558,429,527,525,551,587,653,564,570,659,376,400,535,417,443,437,459,98,179,174,231,178,171,238,237,235,223,62,56,42,36,33,3,177,170,294]),
% 0.91/1.01 ['proof']).
% 0.91/1.01 % SZS output end Proof
% 0.91/1.01 % Total time :0.310000s
%------------------------------------------------------------------------------