TSTP Solution File: TOP028+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : TOP028+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 : n009.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 05:53:27 EDT 2023
% Result : Theorem 0.56s 0.93s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : TOP028+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 22:54:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.56/0.90 %-------------------------------------------
% 0.56/0.90 % File :CSE---1.6
% 0.56/0.90 % Problem :theBenchmark
% 0.56/0.90 % Transform :cnf
% 0.56/0.90 % Format :tptp:raw
% 0.56/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.91
% 0.56/0.91 % Result :Theorem 0.290000s
% 0.56/0.91 % Output :CNFRefutation 0.290000s
% 0.56/0.91 %-------------------------------------------
% 0.56/0.91 %------------------------------------------------------------------------------
% 0.56/0.91 % File : TOP028+1 : TPTP v8.1.2. Released v3.4.0.
% 0.56/0.91 % Domain : Topology
% 0.56/0.91 % Problem : Maximal Kolmogorov Subspaces of a Topological Space T10
% 0.56/0.91 % Version : [Urb08] axioms : Especial.
% 0.56/0.91 % English :
% 0.56/0.91
% 0.56/0.91 % Refs : [Kar96] Karno (1996), Maximal Kolmogorov Subspaces of a Topolo
% 0.56/0.91 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.56/0.91 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.56/0.91 % Source : [Urb08]
% 0.56/0.91 % Names : t10_tsp_2 [Urb08]
% 0.56/0.91
% 0.56/0.91 % Status : Theorem
% 0.56/0.91 % Rating : 0.14 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.15 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.26 v4.0.1, 0.30 v4.0.0, 0.33 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0
% 0.56/0.91 % Syntax : Number of formulae : 63 ( 10 unt; 0 def)
% 0.56/0.91 % Number of atoms : 266 ( 2 equ)
% 0.56/0.91 % Maximal formula atoms : 15 ( 4 avg)
% 0.56/0.91 % Number of connectives : 227 ( 24 ~; 1 |; 129 &)
% 0.56/0.91 % ( 1 <=>; 72 =>; 0 <=; 0 <~>)
% 0.56/0.91 % Maximal formula depth : 15 ( 6 avg)
% 0.56/0.91 % Maximal term depth : 3 ( 1 avg)
% 0.56/0.91 % Number of predicates : 27 ( 25 usr; 1 prp; 0-2 aty)
% 0.56/0.91 % Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% 0.56/0.91 % Number of variables : 100 ( 84 !; 16 ?)
% 0.56/0.91 % SPC : FOF_THM_RFO_SEQ
% 0.56/0.91
% 0.56/0.91 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.56/0.91 % other articles) and background that are possibly necessary.
% 0.56/0.91 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.56/0.91 % : The problem encoding is based on set theory.
% 0.56/0.91 %------------------------------------------------------------------------------
% 0.56/0.91 fof(t10_tsp_2,conjecture,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( ( ~ v3_struct_0(A)
% 0.56/0.91 & v2_pre_topc(A)
% 0.56/0.91 & l1_pre_topc(A) )
% 0.56/0.91 => ? [B] :
% 0.56/0.91 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.91 & v1_tsp_2(B,A) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(antisymmetry_r2_hidden,axiom,
% 0.56/0.91 ! [A,B] :
% 0.56/0.91 ( r2_hidden(A,B)
% 0.56/0.91 => ~ r2_hidden(B,A) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc10_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v1_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,A)
% 0.56/0.91 => v1_xcmplx_0(B) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc11_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v2_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,A)
% 0.56/0.91 => ( v1_xcmplx_0(B)
% 0.56/0.91 & v1_xreal_0(B) ) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc12_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v3_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,A)
% 0.56/0.91 => ( v1_xcmplx_0(B)
% 0.56/0.91 & v1_xreal_0(B)
% 0.56/0.91 & v1_rat_1(B) ) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc13_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v4_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,A)
% 0.56/0.91 => ( v1_xcmplx_0(B)
% 0.56/0.91 & v1_xreal_0(B)
% 0.56/0.91 & v1_int_1(B)
% 0.56/0.91 & v1_rat_1(B) ) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc14_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v5_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,A)
% 0.56/0.91 => ( v1_xcmplx_0(B)
% 0.56/0.91 & v4_ordinal2(B)
% 0.56/0.91 & v1_xreal_0(B)
% 0.56/0.91 & v1_int_1(B)
% 0.56/0.91 & v1_rat_1(B) ) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc15_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v1_xboole_0(A)
% 0.56/0.91 => ( v1_membered(A)
% 0.56/0.91 & v2_membered(A)
% 0.56/0.91 & v3_membered(A)
% 0.56/0.91 & v4_membered(A)
% 0.56/0.91 & v5_membered(A) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc16_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v1_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.56/0.91 => v1_membered(B) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc17_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v2_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.56/0.91 => ( v1_membered(B)
% 0.56/0.91 & v2_membered(B) ) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc18_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v3_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.56/0.91 => ( v1_membered(B)
% 0.56/0.91 & v2_membered(B)
% 0.56/0.91 & v3_membered(B) ) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc19_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v4_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.56/0.91 => ( v1_membered(B)
% 0.56/0.91 & v2_membered(B)
% 0.56/0.91 & v3_membered(B)
% 0.56/0.91 & v4_membered(B) ) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc1_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v5_membered(A)
% 0.56/0.91 => v4_membered(A) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc1_tops_1,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( ( v2_pre_topc(A)
% 0.56/0.91 & l1_pre_topc(A) )
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.91 => ( v1_xboole_0(B)
% 0.56/0.91 => ( v3_pre_topc(B,A)
% 0.56/0.91 & v4_pre_topc(B,A) ) ) ) ) ).
% 0.56/0.91
% 0.56/0.91 fof(cc20_membered,axiom,
% 0.56/0.91 ! [A] :
% 0.56/0.91 ( v5_membered(A)
% 0.56/0.91 => ! [B] :
% 0.56/0.91 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.56/0.91 => ( v1_membered(B)
% 0.56/0.91 & v2_membered(B)
% 0.56/0.91 & v3_membered(B)
% 0.56/0.91 & v4_membered(B)
% 0.56/0.91 & v5_membered(B) ) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(cc2_membered,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( v4_membered(A)
% 0.56/0.92 => v3_membered(A) ) ).
% 0.56/0.92
% 0.56/0.92 fof(cc2_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( l1_pre_topc(A)
% 0.56/0.92 => ! [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 => ( v1_xboole_0(B)
% 0.56/0.92 => v2_tops_1(B,A) ) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(cc3_membered,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( v3_membered(A)
% 0.56/0.92 => v2_membered(A) ) ).
% 0.56/0.92
% 0.56/0.92 fof(cc3_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ! [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 => ( v1_xboole_0(B)
% 0.56/0.92 => v3_tops_1(B,A) ) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(cc4_membered,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( v2_membered(A)
% 0.56/0.92 => v1_membered(A) ) ).
% 0.56/0.92
% 0.56/0.92 fof(cc4_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ! [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 => ( v3_tops_1(B,A)
% 0.56/0.92 => v2_tops_1(B,A) ) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(cc5_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ! [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 => ( ( v4_pre_topc(B,A)
% 0.56/0.92 & v2_tops_1(B,A) )
% 0.56/0.92 => ( v2_tops_1(B,A)
% 0.56/0.92 & v3_tops_1(B,A) ) ) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(cc6_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ! [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 => ( ( v3_pre_topc(B,A)
% 0.56/0.92 & v3_tops_1(B,A) )
% 0.56/0.92 => ( v1_xboole_0(B)
% 0.56/0.92 & v3_pre_topc(B,A)
% 0.56/0.92 & v4_pre_topc(B,A)
% 0.56/0.92 & v1_membered(B)
% 0.56/0.92 & v2_membered(B)
% 0.56/0.92 & v3_membered(B)
% 0.56/0.92 & v4_membered(B)
% 0.56/0.92 & v5_membered(B)
% 0.56/0.92 & v2_tops_1(B,A)
% 0.56/0.92 & v3_tops_1(B,A) ) ) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(dt_k1_pre_topc,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( l1_struct_0(A)
% 0.56/0.92 => m1_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))) ) ).
% 0.56/0.92
% 0.56/0.92 fof(dt_k1_xboole_0,axiom,
% 0.56/0.92 $true ).
% 0.56/0.92
% 0.56/0.92 fof(dt_k1_zfmisc_1,axiom,
% 0.56/0.92 $true ).
% 0.56/0.92
% 0.56/0.92 fof(dt_l1_pre_topc,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( l1_pre_topc(A)
% 0.56/0.92 => l1_struct_0(A) ) ).
% 0.56/0.92
% 0.56/0.92 fof(dt_l1_struct_0,axiom,
% 0.56/0.92 $true ).
% 0.56/0.92
% 0.56/0.92 fof(dt_m1_subset_1,axiom,
% 0.56/0.92 $true ).
% 0.56/0.92
% 0.56/0.92 fof(dt_u1_struct_0,axiom,
% 0.56/0.92 $true ).
% 0.56/0.92
% 0.56/0.92 fof(existence_l1_pre_topc,axiom,
% 0.56/0.92 ? [A] : l1_pre_topc(A) ).
% 0.56/0.92
% 0.56/0.92 fof(existence_l1_struct_0,axiom,
% 0.56/0.92 ? [A] : l1_struct_0(A) ).
% 0.56/0.92
% 0.56/0.92 fof(existence_m1_subset_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ? [B] : m1_subset_1(B,A) ).
% 0.56/0.92
% 0.56/0.92 fof(fc1_pre_topc,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( l1_struct_0(A)
% 0.56/0.92 => ( v1_xboole_0(k1_pre_topc(A))
% 0.56/0.92 & v1_membered(k1_pre_topc(A))
% 0.56/0.92 & v2_membered(k1_pre_topc(A))
% 0.56/0.92 & v3_membered(k1_pre_topc(A))
% 0.56/0.92 & v4_membered(k1_pre_topc(A))
% 0.56/0.92 & v5_membered(k1_pre_topc(A)) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(fc1_struct_0,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( ~ v3_struct_0(A)
% 0.56/0.92 & l1_struct_0(A) )
% 0.56/0.92 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 0.56/0.92
% 0.56/0.92 fof(fc1_subset_1,axiom,
% 0.56/0.92 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 0.56/0.92
% 0.56/0.92 fof(fc1_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ( v1_xboole_0(k1_pre_topc(A))
% 0.56/0.92 & v4_pre_topc(k1_pre_topc(A),A)
% 0.56/0.92 & v1_membered(k1_pre_topc(A))
% 0.56/0.92 & v2_membered(k1_pre_topc(A))
% 0.56/0.92 & v3_membered(k1_pre_topc(A))
% 0.56/0.92 & v4_membered(k1_pre_topc(A))
% 0.56/0.92 & v5_membered(k1_pre_topc(A)) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(fc6_membered,axiom,
% 0.56/0.92 ( v1_xboole_0(k1_xboole_0)
% 0.56/0.92 & v1_membered(k1_xboole_0)
% 0.56/0.92 & v2_membered(k1_xboole_0)
% 0.56/0.92 & v3_membered(k1_xboole_0)
% 0.56/0.92 & v4_membered(k1_xboole_0)
% 0.56/0.92 & v5_membered(k1_xboole_0) ) ).
% 0.56/0.92
% 0.56/0.92 fof(fc7_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ( v1_xboole_0(k1_pre_topc(A))
% 0.56/0.92 & v3_pre_topc(k1_pre_topc(A),A)
% 0.56/0.92 & v4_pre_topc(k1_pre_topc(A),A)
% 0.56/0.92 & v1_membered(k1_pre_topc(A))
% 0.56/0.92 & v2_membered(k1_pre_topc(A))
% 0.56/0.92 & v3_membered(k1_pre_topc(A))
% 0.56/0.92 & v4_membered(k1_pre_topc(A))
% 0.56/0.92 & v5_membered(k1_pre_topc(A)) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc1_membered,axiom,
% 0.56/0.92 ? [A] :
% 0.56/0.92 ( ~ v1_xboole_0(A)
% 0.56/0.92 & v1_membered(A)
% 0.56/0.92 & v2_membered(A)
% 0.56/0.92 & v3_membered(A)
% 0.56/0.92 & v4_membered(A)
% 0.56/0.92 & v5_membered(A) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc1_subset_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ~ v1_xboole_0(A)
% 0.56/0.92 => ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.56/0.92 & ~ v1_xboole_0(B) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc1_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 & v3_pre_topc(B,A) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc2_subset_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.56/0.92 & v1_xboole_0(B) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc2_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 & v3_pre_topc(B,A)
% 0.56/0.92 & v4_pre_topc(B,A) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc3_struct_0,axiom,
% 0.56/0.92 ? [A] :
% 0.56/0.92 ( l1_struct_0(A)
% 0.56/0.92 & ~ v3_struct_0(A) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc3_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( ~ v3_struct_0(A)
% 0.56/0.92 & v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 & ~ v1_xboole_0(B)
% 0.56/0.92 & v3_pre_topc(B,A)
% 0.56/0.92 & v4_pre_topc(B,A) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc4_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( l1_pre_topc(A)
% 0.56/0.92 => ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 & v1_xboole_0(B)
% 0.56/0.92 & v1_membered(B)
% 0.56/0.92 & v2_membered(B)
% 0.56/0.92 & v3_membered(B)
% 0.56/0.92 & v4_membered(B)
% 0.56/0.92 & v5_membered(B)
% 0.56/0.92 & v2_tops_1(B,A) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc5_struct_0,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( ~ v3_struct_0(A)
% 0.56/0.92 & l1_struct_0(A) )
% 0.56/0.92 => ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 & ~ v1_xboole_0(B) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc5_tops_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 & v1_xboole_0(B)
% 0.56/0.92 & v3_pre_topc(B,A)
% 0.56/0.92 & v4_pre_topc(B,A)
% 0.56/0.92 & v1_membered(B)
% 0.56/0.92 & v2_membered(B)
% 0.56/0.92 & v3_membered(B)
% 0.56/0.92 & v4_membered(B)
% 0.56/0.92 & v5_membered(B)
% 0.56/0.92 & v2_tops_1(B,A)
% 0.56/0.92 & v3_tops_1(B,A) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc6_pre_topc,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 & v4_pre_topc(B,A) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(rc7_pre_topc,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( ~ v3_struct_0(A)
% 0.56/0.92 & v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ? [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 & ~ v1_xboole_0(B)
% 0.56/0.92 & v4_pre_topc(B,A) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(reflexivity_r1_tarski,axiom,
% 0.56/0.92 ! [A,B] : r1_tarski(A,A) ).
% 0.56/0.92
% 0.56/0.92 fof(t11_tsp_1,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( ~ v3_struct_0(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ! [B] :
% 0.56/0.92 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.92 => ( v3_tex_2(B,A)
% 0.56/0.92 => v1_tsp_1(B,A) ) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(t1_subset,axiom,
% 0.56/0.92 ! [A,B] :
% 0.56/0.92 ( r2_hidden(A,B)
% 0.56/0.92 => m1_subset_1(A,B) ) ).
% 0.56/0.92
% 0.56/0.92 fof(t2_subset,axiom,
% 0.56/0.92 ! [A,B] :
% 0.56/0.92 ( m1_subset_1(A,B)
% 0.56/0.92 => ( v1_xboole_0(B)
% 0.56/0.92 | r2_hidden(A,B) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(t35_tex_2,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( ( ~ v3_struct_0(A)
% 0.56/0.92 & v2_pre_topc(A)
% 0.56/0.92 & l1_pre_topc(A) )
% 0.56/0.92 => ! [B] :
% 0.56/0.92 ( ( v1_xboole_0(B)
% 0.56/0.92 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 0.56/0.92 => v3_tex_2(B,A) ) ) ).
% 0.56/0.92
% 0.56/0.92 fof(t3_subset,axiom,
% 0.56/0.92 ! [A,B] :
% 0.56/0.92 ( m1_subset_1(A,k1_zfmisc_1(B))
% 0.56/0.92 <=> r1_tarski(A,B) ) ).
% 0.56/0.92
% 0.56/0.92 fof(t4_subset,axiom,
% 0.56/0.92 ! [A,B,C] :
% 0.56/0.92 ( ( r2_hidden(A,B)
% 0.56/0.92 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 0.56/0.92 => m1_subset_1(A,C) ) ).
% 0.56/0.92
% 0.56/0.92 fof(t5_subset,axiom,
% 0.56/0.92 ! [A,B,C] :
% 0.56/0.92 ~ ( r2_hidden(A,B)
% 0.56/0.92 & m1_subset_1(B,k1_zfmisc_1(C))
% 0.56/0.92 & v1_xboole_0(C) ) ).
% 0.56/0.92
% 0.56/0.92 fof(t6_boole,axiom,
% 0.56/0.92 ! [A] :
% 0.56/0.92 ( v1_xboole_0(A)
% 0.56/0.92 => A = k1_xboole_0 ) ).
% 0.56/0.92
% 0.56/0.92 fof(t7_boole,axiom,
% 0.56/0.92 ! [A,B] :
% 0.56/0.93 ~ ( r2_hidden(A,B)
% 0.56/0.93 & v1_xboole_0(B) ) ).
% 0.56/0.93
% 0.56/0.93 fof(t8_boole,axiom,
% 0.56/0.93 ! [A,B] :
% 0.56/0.93 ~ ( v1_xboole_0(A)
% 0.56/0.93 & A != B
% 0.56/0.93 & v1_xboole_0(B) ) ).
% 0.56/0.93
% 0.56/0.93 fof(t9_tsp_2,axiom,
% 0.56/0.93 ! [A] :
% 0.56/0.93 ( ( ~ v3_struct_0(A)
% 0.56/0.93 & v2_pre_topc(A)
% 0.56/0.93 & l1_pre_topc(A) )
% 0.56/0.93 => ! [B] :
% 0.56/0.93 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.93 => ~ ( v1_tsp_1(B,A)
% 0.56/0.93 & ! [C] :
% 0.56/0.93 ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
% 0.56/0.93 => ~ ( r1_tarski(B,C)
% 0.56/0.93 & v1_tsp_2(C,A) ) ) ) ) ) ).
% 0.56/0.93
% 0.56/0.93 %------------------------------------------------------------------------------
% 0.56/0.93 %-------------------------------------------
% 0.56/0.93 % Proof found
% 0.56/0.93 % SZS status Theorem for theBenchmark
% 0.56/0.93 % SZS output start Proof
% 0.56/0.93 %ClaNum:208(EqnAxiom:54)
% 0.56/0.93 %VarNum:519(SingletonVarNum:186)
% 0.56/0.93 %MaxLitNum:6
% 0.56/0.93 %MaxfuncDepth:2
% 0.56/0.93 %SharedTerms:27
% 0.56/0.93 %goalClause: 55 56 75 187
% 0.56/0.93 %singleGoalClaCount:3
% 0.56/0.93 [55]P1(a1)
% 0.56/0.93 [56]P2(a1)
% 0.56/0.93 [57]P2(a10)
% 0.56/0.93 [58]P3(a11)
% 0.56/0.93 [59]P3(a12)
% 0.56/0.93 [60]P9(a11)
% 0.56/0.93 [61]P9(a12)
% 0.56/0.93 [62]P16(a11)
% 0.56/0.93 [63]P16(a12)
% 0.56/0.93 [64]P18(a11)
% 0.56/0.93 [65]P18(a12)
% 0.56/0.93 [66]P23(a11)
% 0.56/0.93 [67]P23(a12)
% 0.56/0.93 [68]P10(a11)
% 0.56/0.93 [69]P4(a13)
% 0.56/0.93 [70]P4(a2)
% 0.56/0.93 [75]~P19(a1)
% 0.56/0.93 [76]~P19(a2)
% 0.56/0.93 [77]~P10(a12)
% 0.56/0.93 [72]P5(x721,x721)
% 0.56/0.93 [71]P10(f15(x711))
% 0.56/0.93 [73]P6(f14(x731),x731)
% 0.56/0.93 [74]P6(f15(x741),f20(x741))
% 0.56/0.93 [78]~P10(f20(x781))
% 0.56/0.93 [79]~P10(x791)+E(x791,a11)
% 0.56/0.93 [80]~P9(x801)+P3(x801)
% 0.56/0.93 [81]~P10(x811)+P3(x811)
% 0.56/0.93 [82]~P16(x821)+P9(x821)
% 0.56/0.93 [83]~P10(x831)+P9(x831)
% 0.56/0.93 [84]~P18(x841)+P16(x841)
% 0.56/0.93 [85]~P10(x851)+P16(x851)
% 0.56/0.93 [86]~P23(x861)+P18(x861)
% 0.56/0.93 [87]~P10(x871)+P18(x871)
% 0.56/0.93 [88]~P10(x881)+P23(x881)
% 0.56/0.93 [89]~P2(x891)+P4(x891)
% 0.56/0.93 [91]~P4(x911)+P3(f18(x911))
% 0.56/0.93 [92]~P2(x921)+P3(f3(x921))
% 0.56/0.93 [93]~P4(x931)+P9(f18(x931))
% 0.56/0.93 [94]~P2(x941)+P9(f3(x941))
% 0.56/0.93 [95]~P4(x951)+P16(f18(x951))
% 0.56/0.93 [96]~P2(x961)+P16(f3(x961))
% 0.56/0.93 [97]~P4(x971)+P18(f18(x971))
% 0.56/0.93 [98]~P2(x981)+P18(f3(x981))
% 0.56/0.93 [99]~P4(x991)+P23(f18(x991))
% 0.56/0.93 [100]~P2(x1001)+P23(f3(x1001))
% 0.56/0.93 [101]~P4(x1011)+P10(f18(x1011))
% 0.56/0.93 [102]~P2(x1021)+P10(f3(x1021))
% 0.56/0.93 [103]P10(x1031)+~P10(f16(x1031))
% 0.56/0.93 [122]~P2(x1221)+P17(f3(x1221),x1221)
% 0.56/0.93 [126]P10(x1261)+P6(f16(x1261),f20(x1261))
% 0.56/0.93 [177]~P4(x1771)+P6(f18(x1771),f20(f21(x1771)))
% 0.56/0.93 [178]~P2(x1781)+P6(f3(x1781),f20(f21(x1781)))
% 0.56/0.93 [187]~P12(x1871,a1)+~P6(x1871,f20(f21(a1)))
% 0.56/0.93 [125]~P10(x1251)+~P7(x1252,x1251)
% 0.56/0.93 [155]~P7(x1551,x1552)+P6(x1551,x1552)
% 0.56/0.93 [176]~P7(x1762,x1761)+~P7(x1761,x1762)
% 0.56/0.93 [160]~P5(x1601,x1602)+P6(x1601,f20(x1602))
% 0.56/0.93 [179]P5(x1791,x1792)+~P6(x1791,f20(x1792))
% 0.56/0.93 [105]~P1(x1051)+~P2(x1051)+P3(f18(x1051))
% 0.56/0.93 [106]~P1(x1061)+~P2(x1061)+P3(f5(x1061))
% 0.56/0.93 [108]~P1(x1081)+~P2(x1081)+P9(f18(x1081))
% 0.56/0.93 [109]~P1(x1091)+~P2(x1091)+P9(f5(x1091))
% 0.56/0.93 [111]~P1(x1111)+~P2(x1111)+P16(f18(x1111))
% 0.56/0.93 [112]~P1(x1121)+~P2(x1121)+P16(f5(x1121))
% 0.56/0.93 [114]~P1(x1141)+~P2(x1141)+P18(f18(x1141))
% 0.56/0.93 [115]~P1(x1151)+~P2(x1151)+P18(f5(x1151))
% 0.56/0.93 [117]~P1(x1171)+~P2(x1171)+P23(f18(x1171))
% 0.56/0.93 [118]~P1(x1181)+~P2(x1181)+P23(f5(x1181))
% 0.56/0.93 [120]~P1(x1201)+~P2(x1201)+P10(f18(x1201))
% 0.56/0.93 [121]~P1(x1211)+~P2(x1211)+P10(f5(x1211))
% 0.56/0.93 [123]~P4(x1231)+P19(x1231)+~P10(f21(x1231))
% 0.56/0.93 [124]~P4(x1241)+P19(x1241)+~P10(f6(x1241))
% 0.56/0.93 [142]~P1(x1421)+~P2(x1421)+P20(f18(x1421),x1421)
% 0.56/0.93 [143]~P1(x1431)+~P2(x1431)+P20(f17(x1431),x1431)
% 0.56/0.93 [144]~P1(x1441)+~P2(x1441)+P20(f19(x1441),x1441)
% 0.56/0.93 [145]~P1(x1451)+~P2(x1451)+P20(f5(x1451),x1451)
% 0.56/0.93 [147]~P1(x1471)+~P2(x1471)+P25(f18(x1471),x1471)
% 0.56/0.93 [148]~P1(x1481)+~P2(x1481)+P25(f19(x1481),x1481)
% 0.56/0.93 [149]~P1(x1491)+~P2(x1491)+P25(f5(x1491),x1491)
% 0.56/0.93 [150]~P1(x1501)+~P2(x1501)+P25(f7(x1501),x1501)
% 0.56/0.93 [151]~P1(x1511)+~P2(x1511)+P17(f5(x1511),x1511)
% 0.56/0.93 [152]~P1(x1521)+~P2(x1521)+P21(f5(x1521),x1521)
% 0.56/0.93 [180]~P4(x1801)+P19(x1801)+P6(f6(x1801),f20(f21(x1801)))
% 0.56/0.93 [181]~P1(x1811)+~P2(x1811)+P6(f17(x1811),f20(f21(x1811)))
% 0.56/0.93 [182]~P1(x1821)+~P2(x1821)+P6(f19(x1821),f20(f21(x1821)))
% 0.56/0.93 [183]~P1(x1831)+~P2(x1831)+P6(f5(x1831),f20(f21(x1831)))
% 0.56/0.93 [184]~P1(x1841)+~P2(x1841)+P6(f7(x1841),f20(f21(x1841)))
% 0.56/0.93 [90]~P10(x902)+~P10(x901)+E(x901,x902)
% 0.56/0.93 [127]~P6(x1271,x1272)+P14(x1271)+~P3(x1272)
% 0.56/0.93 [128]~P6(x1281,x1282)+P14(x1281)+~P9(x1282)
% 0.56/0.93 [129]~P6(x1291,x1292)+P14(x1291)+~P16(x1292)
% 0.56/0.93 [130]~P6(x1301,x1302)+P14(x1301)+~P18(x1302)
% 0.56/0.93 [131]~P6(x1311,x1312)+P14(x1311)+~P23(x1312)
% 0.56/0.93 [132]~P6(x1321,x1322)+P15(x1321)+~P9(x1322)
% 0.56/0.93 [133]~P6(x1331,x1332)+P15(x1331)+~P16(x1332)
% 0.56/0.93 [134]~P6(x1341,x1342)+P15(x1341)+~P18(x1342)
% 0.56/0.93 [135]~P6(x1351,x1352)+P15(x1351)+~P23(x1352)
% 0.56/0.93 [136]~P6(x1361,x1362)+P11(x1361)+~P16(x1362)
% 0.56/0.93 [137]~P6(x1371,x1372)+P11(x1371)+~P18(x1372)
% 0.56/0.93 [138]~P6(x1381,x1382)+P11(x1381)+~P23(x1382)
% 0.93/0.93 [139]~P6(x1391,x1392)+P8(x1391)+~P18(x1392)
% 0.93/0.93 [140]~P6(x1401,x1402)+P8(x1401)+~P23(x1402)
% 0.93/0.93 [141]~P6(x1411,x1412)+P24(x1411)+~P23(x1412)
% 0.93/0.93 [159]~P6(x1592,x1591)+P10(x1591)+P7(x1592,x1591)
% 0.93/0.93 [161]P3(x1611)+~P3(x1612)+~P6(x1611,f20(x1612))
% 0.93/0.93 [162]P3(x1621)+~P9(x1622)+~P6(x1621,f20(x1622))
% 0.93/0.93 [163]P3(x1631)+~P16(x1632)+~P6(x1631,f20(x1632))
% 0.93/0.93 [164]P3(x1641)+~P18(x1642)+~P6(x1641,f20(x1642))
% 0.93/0.93 [165]P3(x1651)+~P23(x1652)+~P6(x1651,f20(x1652))
% 0.93/0.93 [166]P9(x1661)+~P9(x1662)+~P6(x1661,f20(x1662))
% 0.93/0.93 [167]P9(x1671)+~P16(x1672)+~P6(x1671,f20(x1672))
% 0.93/0.93 [168]P9(x1681)+~P18(x1682)+~P6(x1681,f20(x1682))
% 0.93/0.93 [169]P9(x1691)+~P23(x1692)+~P6(x1691,f20(x1692))
% 0.93/0.93 [170]P16(x1701)+~P16(x1702)+~P6(x1701,f20(x1702))
% 0.93/0.93 [171]P16(x1711)+~P18(x1712)+~P6(x1711,f20(x1712))
% 0.93/0.93 [172]P16(x1721)+~P23(x1722)+~P6(x1721,f20(x1722))
% 0.93/0.93 [173]P18(x1731)+~P18(x1732)+~P6(x1731,f20(x1732))
% 0.93/0.93 [174]P18(x1741)+~P23(x1742)+~P6(x1741,f20(x1742))
% 0.93/0.93 [175]P23(x1751)+~P23(x1752)+~P6(x1751,f20(x1752))
% 0.93/0.93 [188]~P10(x1881)+~P7(x1882,x1883)+~P6(x1883,f20(x1881))
% 0.93/0.93 [189]P6(x1891,x1892)+~P7(x1891,x1893)+~P6(x1893,f20(x1892))
% 0.93/0.93 [153]~P1(x1531)+~P2(x1531)+P19(x1531)+~P10(f4(x1531))
% 0.93/0.93 [154]~P1(x1541)+~P2(x1541)+P19(x1541)+~P10(f8(x1541))
% 0.93/0.93 [156]~P1(x1561)+~P2(x1561)+P19(x1561)+P20(f4(x1561),x1561)
% 0.93/0.93 [157]~P1(x1571)+~P2(x1571)+P19(x1571)+P25(f4(x1571),x1571)
% 0.93/0.93 [158]~P1(x1581)+~P2(x1581)+P19(x1581)+P25(f8(x1581),x1581)
% 0.93/0.93 [185]~P1(x1851)+~P2(x1851)+P19(x1851)+P6(f4(x1851),f20(f21(x1851)))
% 0.93/0.93 [186]~P1(x1861)+~P2(x1861)+P19(x1861)+P6(f8(x1861),f20(f21(x1861)))
% 0.93/0.93 [190]~P2(x1902)+~P10(x1901)+P17(x1901,x1902)+~P6(x1901,f20(f21(x1902)))
% 0.93/0.93 [191]~P1(x1912)+~P2(x1912)+~P10(x1911)+P20(x1911,x1912)+~P6(x1911,f20(f21(x1912)))
% 0.93/0.93 [192]~P1(x1922)+~P2(x1922)+~P10(x1921)+P25(x1921,x1922)+~P6(x1921,f20(f21(x1922)))
% 0.93/0.93 [193]~P1(x1932)+~P2(x1932)+~P10(x1931)+P21(x1931,x1932)+~P6(x1931,f20(f21(x1932)))
% 0.93/0.93 [195]~P2(x1951)+~P22(x1952,x1951)+P19(x1951)+P13(x1952,x1951)+~P6(x1952,f20(f21(x1951)))
% 0.93/0.93 [196]~P1(x1962)+~P2(x1962)+~P21(x1961,x1962)+P17(x1961,x1962)+~P6(x1961,f20(f21(x1962)))
% 0.93/0.93 [194]~P1(x1941)+~P2(x1941)+~P10(x1942)+P19(x1941)+P22(x1942,x1941)+~P6(x1942,f20(f21(x1941)))
% 0.93/0.93 [197]~P2(x1972)+~P20(x1971,x1972)+~P21(x1971,x1972)+P3(x1971)+~P1(x1972)+~P6(x1971,f20(f21(x1972)))
% 0.93/0.93 [198]~P2(x1982)+~P20(x1981,x1982)+~P21(x1981,x1982)+P9(x1981)+~P1(x1982)+~P6(x1981,f20(f21(x1982)))
% 0.93/0.93 [199]~P2(x1992)+~P20(x1991,x1992)+~P21(x1991,x1992)+P16(x1991)+~P1(x1992)+~P6(x1991,f20(f21(x1992)))
% 0.93/0.93 [200]~P2(x2002)+~P20(x2001,x2002)+~P21(x2001,x2002)+P18(x2001)+~P1(x2002)+~P6(x2001,f20(f21(x2002)))
% 0.93/0.93 [201]~P2(x2012)+~P20(x2011,x2012)+~P21(x2011,x2012)+P23(x2011)+~P1(x2012)+~P6(x2011,f20(f21(x2012)))
% 0.93/0.93 [202]~P2(x2022)+~P20(x2021,x2022)+~P21(x2021,x2022)+P10(x2021)+~P1(x2022)+~P6(x2021,f20(f21(x2022)))
% 0.93/0.93 [203]~P1(x2032)+~P2(x2032)+~P20(x2031,x2032)+~P21(x2031,x2032)+P25(x2031,x2032)+~P6(x2031,f20(f21(x2032)))
% 0.93/0.93 [205]~P1(x2052)+~P2(x2052)+~P25(x2051,x2052)+~P17(x2051,x2052)+P21(x2051,x2052)+~P6(x2051,f20(f21(x2052)))
% 0.93/0.93 [206]~P1(x2061)+~P2(x2061)+~P13(x2062,x2061)+P19(x2061)+P5(x2062,f9(x2061,x2062))+~P6(x2062,f20(f21(x2061)))
% 0.93/0.93 [207]~P1(x2071)+~P2(x2071)+~P13(x2072,x2071)+P19(x2071)+P12(f9(x2071,x2072),x2071)+~P6(x2072,f20(f21(x2071)))
% 0.94/0.93 [208]~P1(x2081)+~P2(x2081)+~P13(x2082,x2081)+P19(x2081)+~P6(x2082,f20(f21(x2081)))+P6(f9(x2081,x2082),f20(f21(x2081)))
% 0.94/0.93 %EqnAxiom
% 0.94/0.93 [1]E(x11,x11)
% 0.94/0.93 [2]E(x22,x21)+~E(x21,x22)
% 0.94/0.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.94/0.93 [4]~E(x41,x42)+E(f15(x41),f15(x42))
% 0.94/0.93 [5]~E(x51,x52)+E(f14(x51),f14(x52))
% 0.94/0.93 [6]~E(x61,x62)+E(f20(x61),f20(x62))
% 0.94/0.93 [7]~E(x71,x72)+E(f21(x71),f21(x72))
% 0.94/0.93 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.94/0.93 [9]~E(x91,x92)+E(f18(x91),f18(x92))
% 0.94/0.93 [10]~E(x101,x102)+E(f3(x101),f3(x102))
% 0.94/0.93 [11]~E(x111,x112)+E(f17(x111),f17(x112))
% 0.94/0.93 [12]~E(x121,x122)+E(f19(x121),f19(x122))
% 0.94/0.93 [13]~E(x131,x132)+E(f5(x131),f5(x132))
% 0.94/0.93 [14]~E(x141,x142)+E(f9(x141,x143),f9(x142,x143))
% 0.94/0.93 [15]~E(x151,x152)+E(f9(x153,x151),f9(x153,x152))
% 0.94/0.93 [16]~E(x161,x162)+E(f6(x161),f6(x162))
% 0.94/0.93 [17]~E(x171,x172)+E(f16(x171),f16(x172))
% 0.94/0.93 [18]~E(x181,x182)+E(f7(x181),f7(x182))
% 0.94/0.93 [19]~E(x191,x192)+E(f8(x191),f8(x192))
% 0.94/0.93 [20]~P1(x201)+P1(x202)+~E(x201,x202)
% 0.94/0.93 [21]~P2(x211)+P2(x212)+~E(x211,x212)
% 0.94/0.93 [22]P20(x222,x223)+~E(x221,x222)+~P20(x221,x223)
% 0.94/0.93 [23]P20(x233,x232)+~E(x231,x232)+~P20(x233,x231)
% 0.94/0.93 [24]~P3(x241)+P3(x242)+~E(x241,x242)
% 0.94/0.93 [25]P5(x252,x253)+~E(x251,x252)+~P5(x251,x253)
% 0.94/0.93 [26]P5(x263,x262)+~E(x261,x262)+~P5(x263,x261)
% 0.94/0.93 [27]~P9(x271)+P9(x272)+~E(x271,x272)
% 0.94/0.93 [28]P6(x282,x283)+~E(x281,x282)+~P6(x281,x283)
% 0.94/0.93 [29]P6(x293,x292)+~E(x291,x292)+~P6(x293,x291)
% 0.94/0.93 [30]~P16(x301)+P16(x302)+~E(x301,x302)
% 0.94/0.93 [31]~P19(x311)+P19(x312)+~E(x311,x312)
% 0.94/0.93 [32]~P18(x321)+P18(x322)+~E(x321,x322)
% 0.94/0.93 [33]~P15(x331)+P15(x332)+~E(x331,x332)
% 0.94/0.93 [34]~P23(x341)+P23(x342)+~E(x341,x342)
% 0.94/0.93 [35]~P10(x351)+P10(x352)+~E(x351,x352)
% 0.94/0.93 [36]~P4(x361)+P4(x362)+~E(x361,x362)
% 0.94/0.93 [37]~P11(x371)+P11(x372)+~E(x371,x372)
% 0.94/0.93 [38]P21(x382,x383)+~E(x381,x382)+~P21(x381,x383)
% 0.94/0.93 [39]P21(x393,x392)+~E(x391,x392)+~P21(x393,x391)
% 0.94/0.93 [40]P22(x402,x403)+~E(x401,x402)+~P22(x401,x403)
% 0.94/0.93 [41]P22(x413,x412)+~E(x411,x412)+~P22(x413,x411)
% 0.94/0.93 [42]P13(x422,x423)+~E(x421,x422)+~P13(x421,x423)
% 0.94/0.93 [43]P13(x433,x432)+~E(x431,x432)+~P13(x433,x431)
% 0.94/0.93 [44]P17(x442,x443)+~E(x441,x442)+~P17(x441,x443)
% 0.94/0.93 [45]P17(x453,x452)+~E(x451,x452)+~P17(x453,x451)
% 0.94/0.93 [46]P25(x462,x463)+~E(x461,x462)+~P25(x461,x463)
% 0.94/0.93 [47]P25(x473,x472)+~E(x471,x472)+~P25(x473,x471)
% 0.94/0.93 [48]~P14(x481)+P14(x482)+~E(x481,x482)
% 0.94/0.93 [49]~P24(x491)+P24(x492)+~E(x491,x492)
% 0.94/0.93 [50]P7(x502,x503)+~E(x501,x502)+~P7(x501,x503)
% 0.94/0.93 [51]P7(x513,x512)+~E(x511,x512)+~P7(x513,x511)
% 0.94/0.93 [52]~P8(x521)+P8(x522)+~E(x521,x522)
% 0.94/0.93 [53]P12(x532,x533)+~E(x531,x532)+~P12(x531,x533)
% 0.94/0.93 [54]P12(x543,x542)+~E(x541,x542)+~P12(x543,x541)
% 0.94/0.93
% 0.94/0.93 %-------------------------------------------
% 0.94/0.93 cnf(211,plain,
% 0.94/0.93 (P6(f15(x2111),f20(x2111))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(214,plain,
% 0.94/0.93 (P6(f14(x2141),x2141)),
% 0.94/0.93 inference(rename_variables,[],[73])).
% 0.94/0.93 cnf(217,plain,
% 0.94/0.93 (P6(f14(x2171),x2171)),
% 0.94/0.93 inference(rename_variables,[],[73])).
% 0.94/0.93 cnf(220,plain,
% 0.94/0.93 (P6(f14(x2201),x2201)),
% 0.94/0.93 inference(rename_variables,[],[73])).
% 0.94/0.93 cnf(223,plain,
% 0.94/0.93 (P6(f14(x2231),x2231)),
% 0.94/0.93 inference(rename_variables,[],[73])).
% 0.94/0.93 cnf(226,plain,
% 0.94/0.93 (P6(f14(x2261),x2261)),
% 0.94/0.93 inference(rename_variables,[],[73])).
% 0.94/0.93 cnf(229,plain,
% 0.94/0.93 (P6(f15(x2291),f20(x2291))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(232,plain,
% 0.94/0.93 (P6(f14(x2321),x2321)),
% 0.94/0.93 inference(rename_variables,[],[73])).
% 0.94/0.93 cnf(235,plain,
% 0.94/0.93 (P6(f15(x2351),f20(x2351))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(238,plain,
% 0.94/0.93 (P6(f14(x2381),x2381)),
% 0.94/0.93 inference(rename_variables,[],[73])).
% 0.94/0.93 cnf(241,plain,
% 0.94/0.93 (P6(f15(x2411),f20(x2411))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(244,plain,
% 0.94/0.93 (P6(f14(x2441),x2441)),
% 0.94/0.93 inference(rename_variables,[],[73])).
% 0.94/0.93 cnf(247,plain,
% 0.94/0.93 (P6(f15(x2471),f20(x2471))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(250,plain,
% 0.94/0.93 (P6(f15(x2501),f20(x2501))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(251,plain,
% 0.94/0.93 (P10(f15(x2511))),
% 0.94/0.93 inference(rename_variables,[],[71])).
% 0.94/0.93 cnf(254,plain,
% 0.94/0.93 (P6(f15(x2541),f20(x2541))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(255,plain,
% 0.94/0.93 (P10(f15(x2551))),
% 0.94/0.93 inference(rename_variables,[],[71])).
% 0.94/0.93 cnf(258,plain,
% 0.94/0.93 (P6(f15(x2581),f20(x2581))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(259,plain,
% 0.94/0.93 (P10(f15(x2591))),
% 0.94/0.93 inference(rename_variables,[],[71])).
% 0.94/0.93 cnf(262,plain,
% 0.94/0.93 (P6(f15(x2621),f20(x2621))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(263,plain,
% 0.94/0.93 (P10(f15(x2631))),
% 0.94/0.93 inference(rename_variables,[],[71])).
% 0.94/0.93 cnf(266,plain,
% 0.94/0.93 (P6(f15(x2661),f20(x2661))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(269,plain,
% 0.94/0.93 (P6(f15(x2691),f20(x2691))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(272,plain,
% 0.94/0.93 (P6(f15(x2721),f20(x2721))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(275,plain,
% 0.94/0.93 (P6(f15(x2751),f20(x2751))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(278,plain,
% 0.94/0.93 (P6(f15(x2781),f20(x2781))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(281,plain,
% 0.94/0.93 (P6(f15(x2811),f20(x2811))),
% 0.94/0.93 inference(rename_variables,[],[74])).
% 0.94/0.93 cnf(282,plain,
% 0.94/0.93 (P10(f15(x2821))),
% 0.94/0.93 inference(rename_variables,[],[71])).
% 0.94/0.93 cnf(314,plain,
% 0.94/0.93 (P18(f3(a1))),
% 0.94/0.93 inference(scs_inference,[],[55,72,56,75,64,66,68,69,77,73,214,217,220,223,226,232,238,71,251,255,259,263,282,74,211,229,235,241,247,250,254,258,262,266,269,272,275,278,125,187,179,159,188,175,174,173,172,171,169,168,165,164,190,193,192,191,201,200,199,198,197,194,176,89,88,87,85,83,81,79,160,122,103,102,101,100,99,98])).
% 0.94/0.93 cnf(446,plain,
% 0.94/0.93 (P13(a11,a1)),
% 0.94/0.93 inference(scs_inference,[],[55,72,56,75,64,66,68,69,77,73,214,217,220,223,226,232,238,244,71,251,255,259,263,282,74,211,229,235,241,247,250,254,258,262,266,269,272,275,278,281,125,187,179,159,188,175,174,173,172,171,169,168,165,164,190,193,192,191,201,200,199,198,197,194,176,89,88,87,85,83,81,79,160,122,103,102,101,100,99,98,97,96,95,94,93,92,91,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,178,177,126,54,51,35,141,140,138,135,131,152,151,150,149,148,147,145,144,143,142,124,123,121,120,118,117,115,114,112,111,109,108,106,105,184,183,182,181,180,158,157,156,154,153,186,185,195,2,53,47,46,45,44,43,42])).
% 0.94/0.93 cnf(453,plain,
% 0.94/0.93 (P6(a11,f20(f21(a1)))),
% 0.94/0.93 inference(scs_inference,[],[55,72,56,75,64,66,68,69,77,73,214,217,220,223,226,232,238,244,71,251,255,259,263,282,74,211,229,235,241,247,250,254,258,262,266,269,272,275,278,281,125,187,179,159,188,175,174,173,172,171,169,168,165,164,190,193,192,191,201,200,199,198,197,194,176,89,88,87,85,83,81,79,160,122,103,102,101,100,99,98,97,96,95,94,93,92,91,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,178,177,126,54,51,35,141,140,138,135,131,152,151,150,149,148,147,145,144,143,142,124,123,121,120,118,117,115,114,112,111,109,108,106,105,184,183,182,181,180,158,157,156,154,153,186,185,195,2,53,47,46,45,44,43,42,41,40,39,38,31,29,28])).
% 0.94/0.93 cnf(596,plain,
% 0.94/0.93 (P6(f14(x5961),x5961)),
% 0.94/0.93 inference(rename_variables,[],[73])).
% 0.94/0.93 cnf(601,plain,
% 0.94/0.93 ($false),
% 0.94/0.93 inference(scs_inference,[],[56,73,596,75,453,314,446,55,207,206,208,137,130,187]),
% 0.94/0.93 ['proof']).
% 0.94/0.93 % SZS output end Proof
% 0.94/0.93 % Total time :0.290000s
%------------------------------------------------------------------------------