TSTP Solution File: TOP026+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : TOP026+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n022.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 : 600s
% DateTime : Thu Jul 21 21:27:00 EDT 2022
% Result : Theorem 2.42s 2.66s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
input ).
fof(t3_subset_0,plain,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
| ~ r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t3_subset_1,plain,
! [A,B] :
( ~ m1_subset_1(A,k1_zfmisc_1(B))
| r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(fc2_tops_1,axiom,
! [A,B] :
( ( v2_pre_topc(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> v4_pre_topc(k6_pre_topc(A,B),A) ),
input ).
fof(fc2_tops_1_0,plain,
! [A,B] :
( v4_pre_topc(k6_pre_topc(A,B),A)
| ~ ( v2_pre_topc(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
inference(orientation,[status(thm)],[fc2_tops_1]) ).
fof(fc1_subset_1,axiom,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
input ).
fof(fc1_subset_1_0,plain,
! [A] :
( ~ v1_xboole_0(k1_zfmisc_1(A))
| $false ),
inference(orientation,[status(thm)],[fc1_subset_1]) ).
fof(dt_u1_struct_0,axiom,
$true,
input ).
fof(dt_u1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_struct_0]) ).
fof(dt_m1_subset_1,axiom,
$true,
input ).
fof(dt_m1_subset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_subset_1]) ).
fof(dt_l1_pre_topc,axiom,
! [A] :
( l1_pre_topc(A)
=> l1_struct_0(A) ),
input ).
fof(dt_l1_pre_topc_0,plain,
! [A] :
( ~ l1_pre_topc(A)
| l1_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l1_pre_topc]) ).
fof(dt_k6_pre_topc,axiom,
! [A,B] :
( ( l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
input ).
fof(dt_k6_pre_topc_0,plain,
! [A,B] :
( m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ ( l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
inference(orientation,[status(thm)],[dt_k6_pre_topc]) ).
fof(dt_k5_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ),
input ).
fof(dt_k5_subset_1_0,plain,
! [A,B,C] :
( m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A))
| ~ ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(orientation,[status(thm)],[dt_k5_subset_1]) ).
fof(dt_k3_tex_4,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> m1_subset_1(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
input ).
fof(dt_k3_tex_4_0,plain,
! [A,B] :
( m1_subset_1(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ ( ~ v3_struct_0(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
inference(orientation,[status(thm)],[dt_k3_tex_4]) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
input ).
fof(dt_k1_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_zfmisc_1]) ).
fof(redefinition_k5_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> k5_subset_1(A,B,C) = k3_xboole_0(B,C) ),
input ).
fof(redefinition_k5_subset_1_0,plain,
! [A,B,C] :
( k5_subset_1(A,B,C) = k3_xboole_0(B,C)
| ~ ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(orientation,[status(thm)],[redefinition_k5_subset_1]) ).
fof(idempotence_k5_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> k5_subset_1(A,B,B) = B ),
input ).
fof(idempotence_k5_subset_1_0,plain,
! [A,B,C] :
( k5_subset_1(A,B,B) = B
| ~ ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(orientation,[status(thm)],[idempotence_k5_subset_1]) ).
fof(commutativity_k5_subset_1,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> k5_subset_1(A,B,C) = k5_subset_1(A,C,B) ),
input ).
fof(commutativity_k5_subset_1_0,plain,
! [A,B,C] :
( k5_subset_1(A,B,C) = k5_subset_1(A,C,B)
| ~ ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(orientation,[status(thm)],[commutativity_k5_subset_1]) ).
fof(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
input ).
fof(t6_boole_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| A = k1_xboole_0 ),
inference(orientation,[status(thm)],[t6_boole]) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
input ).
fof(t2_subset_0,plain,
! [A,B] :
( ~ m1_subset_1(A,B)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(orientation,[status(thm)],[t2_subset]) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
input ).
fof(rc1_subset_1_0,plain,
! [A] :
( v1_xboole_0(A)
| ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
inference(orientation,[status(thm)],[rc1_subset_1]) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
input ).
fof(fc1_struct_0_0,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A) ) ),
inference(orientation,[status(thm)],[fc1_struct_0]) ).
fof(cc2_tops_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_xboole_0(B)
=> v2_tops_1(B,A) ) ) ),
input ).
fof(cc2_tops_1_0,plain,
! [A] :
( ~ l1_pre_topc(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_xboole_0(B)
=> v2_tops_1(B,A) ) ) ),
inference(orientation,[status(thm)],[cc2_tops_1]) ).
fof(cc15_membered,axiom,
! [A] :
( v1_xboole_0(A)
=> ( v1_membered(A)
& v2_membered(A)
& v3_membered(A)
& v4_membered(A)
& v5_membered(A) ) ),
input ).
fof(cc15_membered_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| ( v1_membered(A)
& v2_membered(A)
& v3_membered(A)
& v4_membered(A)
& v5_membered(A) ) ),
inference(orientation,[status(thm)],[cc15_membered]) ).
fof(dt_l1_struct_0,axiom,
$true,
input ).
fof(dt_l1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_l1_struct_0]) ).
fof(dt_k3_xboole_0,axiom,
$true,
input ).
fof(dt_k3_xboole_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k3_xboole_0]) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
input ).
fof(reflexivity_r1_tarski_0,plain,
! [A] :
( r1_tarski(A,A)
| $false ),
inference(orientation,[status(thm)],[reflexivity_r1_tarski]) ).
fof(idempotence_k3_xboole_0,axiom,
! [A,B] : k3_xboole_0(A,A) = A,
input ).
fof(idempotence_k3_xboole_0_0,plain,
! [A] :
( k3_xboole_0(A,A) = A
| $false ),
inference(orientation,[status(thm)],[idempotence_k3_xboole_0]) ).
fof(commutativity_k3_xboole_0,axiom,
! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A),
input ).
fof(commutativity_k3_xboole_0_0,plain,
! [A,B] :
( k3_xboole_0(A,B) = k3_xboole_0(B,A)
| $false ),
inference(orientation,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
input ).
fof(t4_subset_0,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(orientation,[status(thm)],[t4_subset]) ).
fof(t2_boole,axiom,
! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0,
input ).
fof(t2_boole_0,plain,
! [A] :
( k3_xboole_0(A,k1_xboole_0) = k1_xboole_0
| $false ),
inference(orientation,[status(thm)],[t2_boole]) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
input ).
fof(t1_subset_0,plain,
! [A,B] :
( ~ r2_hidden(A,B)
| m1_subset_1(A,B) ),
inference(orientation,[status(thm)],[t1_subset]) ).
fof(rc4_tops_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ? [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_xboole_0(B)
& v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B)
& v5_membered(B)
& v2_tops_1(B,A) ) ),
input ).
fof(rc4_tops_1_0,plain,
! [A] :
( ~ l1_pre_topc(A)
| ? [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_xboole_0(B)
& v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B)
& v5_membered(B)
& v2_tops_1(B,A) ) ),
inference(orientation,[status(thm)],[rc4_tops_1]) ).
fof(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
input ).
fof(fc6_membered_0,plain,
( v1_xboole_0(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc6_membered]) ).
fof(fc6_membered_1,plain,
( v1_membered(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc6_membered]) ).
fof(fc6_membered_2,plain,
( v2_membered(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc6_membered]) ).
fof(fc6_membered_3,plain,
( v3_membered(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc6_membered]) ).
fof(fc6_membered_4,plain,
( v4_membered(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc6_membered]) ).
fof(fc6_membered_5,plain,
( v5_membered(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc6_membered]) ).
fof(fc36_membered,axiom,
! [A,B] :
( v5_membered(A)
=> ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A))
& v3_membered(k3_xboole_0(B,A))
& v4_membered(k3_xboole_0(B,A))
& v5_membered(k3_xboole_0(B,A)) ) ),
input ).
fof(fc36_membered_0,plain,
! [A,B] :
( ~ v5_membered(A)
| ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A))
& v3_membered(k3_xboole_0(B,A))
& v4_membered(k3_xboole_0(B,A))
& v5_membered(k3_xboole_0(B,A)) ) ),
inference(orientation,[status(thm)],[fc36_membered]) ).
fof(fc35_membered,axiom,
! [A,B] :
( v5_membered(A)
=> ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B))
& v3_membered(k3_xboole_0(A,B))
& v4_membered(k3_xboole_0(A,B))
& v5_membered(k3_xboole_0(A,B)) ) ),
input ).
fof(fc35_membered_0,plain,
! [A,B] :
( ~ v5_membered(A)
| ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B))
& v3_membered(k3_xboole_0(A,B))
& v4_membered(k3_xboole_0(A,B))
& v5_membered(k3_xboole_0(A,B)) ) ),
inference(orientation,[status(thm)],[fc35_membered]) ).
fof(fc34_membered,axiom,
! [A,B] :
( v4_membered(A)
=> ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A))
& v3_membered(k3_xboole_0(B,A))
& v4_membered(k3_xboole_0(B,A)) ) ),
input ).
fof(fc34_membered_0,plain,
! [A,B] :
( ~ v4_membered(A)
| ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A))
& v3_membered(k3_xboole_0(B,A))
& v4_membered(k3_xboole_0(B,A)) ) ),
inference(orientation,[status(thm)],[fc34_membered]) ).
fof(fc33_membered,axiom,
! [A,B] :
( v4_membered(A)
=> ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B))
& v3_membered(k3_xboole_0(A,B))
& v4_membered(k3_xboole_0(A,B)) ) ),
input ).
fof(fc33_membered_0,plain,
! [A,B] :
( ~ v4_membered(A)
| ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B))
& v3_membered(k3_xboole_0(A,B))
& v4_membered(k3_xboole_0(A,B)) ) ),
inference(orientation,[status(thm)],[fc33_membered]) ).
fof(fc32_membered,axiom,
! [A,B] :
( v3_membered(A)
=> ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A))
& v3_membered(k3_xboole_0(B,A)) ) ),
input ).
fof(fc32_membered_0,plain,
! [A,B] :
( ~ v3_membered(A)
| ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A))
& v3_membered(k3_xboole_0(B,A)) ) ),
inference(orientation,[status(thm)],[fc32_membered]) ).
fof(fc31_membered,axiom,
! [A,B] :
( v3_membered(A)
=> ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B))
& v3_membered(k3_xboole_0(A,B)) ) ),
input ).
fof(fc31_membered_0,plain,
! [A,B] :
( ~ v3_membered(A)
| ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B))
& v3_membered(k3_xboole_0(A,B)) ) ),
inference(orientation,[status(thm)],[fc31_membered]) ).
fof(fc30_membered,axiom,
! [A,B] :
( v2_membered(A)
=> ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A)) ) ),
input ).
fof(fc30_membered_0,plain,
! [A,B] :
( ~ v2_membered(A)
| ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A)) ) ),
inference(orientation,[status(thm)],[fc30_membered]) ).
fof(fc29_membered,axiom,
! [A,B] :
( v2_membered(A)
=> ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B)) ) ),
input ).
fof(fc29_membered_0,plain,
! [A,B] :
( ~ v2_membered(A)
| ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B)) ) ),
inference(orientation,[status(thm)],[fc29_membered]) ).
fof(fc28_membered,axiom,
! [A,B] :
( v1_membered(A)
=> v1_membered(k3_xboole_0(B,A)) ),
input ).
fof(fc28_membered_0,plain,
! [A,B] :
( ~ v1_membered(A)
| v1_membered(k3_xboole_0(B,A)) ),
inference(orientation,[status(thm)],[fc28_membered]) ).
fof(fc27_membered,axiom,
! [A,B] :
( v1_membered(A)
=> v1_membered(k3_xboole_0(A,B)) ),
input ).
fof(fc27_membered_0,plain,
! [A,B] :
( ~ v1_membered(A)
| v1_membered(k3_xboole_0(A,B)) ),
inference(orientation,[status(thm)],[fc27_membered]) ).
fof(cc4_membered,axiom,
! [A] :
( v2_membered(A)
=> v1_membered(A) ),
input ).
fof(cc4_membered_0,plain,
! [A] :
( ~ v2_membered(A)
| v1_membered(A) ),
inference(orientation,[status(thm)],[cc4_membered]) ).
fof(cc3_membered,axiom,
! [A] :
( v3_membered(A)
=> v2_membered(A) ),
input ).
fof(cc3_membered_0,plain,
! [A] :
( ~ v3_membered(A)
| v2_membered(A) ),
inference(orientation,[status(thm)],[cc3_membered]) ).
fof(cc2_membered,axiom,
! [A] :
( v4_membered(A)
=> v3_membered(A) ),
input ).
fof(cc2_membered_0,plain,
! [A] :
( ~ v4_membered(A)
| v3_membered(A) ),
inference(orientation,[status(thm)],[cc2_membered]) ).
fof(cc20_membered,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B)
& v5_membered(B) ) ) ),
input ).
fof(cc20_membered_0,plain,
! [A] :
( ~ v5_membered(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B)
& v5_membered(B) ) ) ),
inference(orientation,[status(thm)],[cc20_membered]) ).
fof(cc1_membered,axiom,
! [A] :
( v5_membered(A)
=> v4_membered(A) ),
input ).
fof(cc1_membered_0,plain,
! [A] :
( ~ v5_membered(A)
| v4_membered(A) ),
inference(orientation,[status(thm)],[cc1_membered]) ).
fof(cc19_membered,axiom,
! [A] :
( v4_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B) ) ) ),
input ).
fof(cc19_membered_0,plain,
! [A] :
( ~ v4_membered(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B) ) ) ),
inference(orientation,[status(thm)],[cc19_membered]) ).
fof(cc18_membered,axiom,
! [A] :
( v3_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B) ) ) ),
input ).
fof(cc18_membered_0,plain,
! [A] :
( ~ v3_membered(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B) ) ) ),
inference(orientation,[status(thm)],[cc18_membered]) ).
fof(cc17_membered,axiom,
! [A] :
( v2_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B) ) ) ),
input ).
fof(cc17_membered_0,plain,
! [A] :
( ~ v2_membered(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B) ) ) ),
inference(orientation,[status(thm)],[cc17_membered]) ).
fof(cc16_membered,axiom,
! [A] :
( v1_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_membered(B) ) ),
input ).
fof(cc16_membered_0,plain,
! [A] :
( ~ v1_membered(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_membered(B) ) ),
inference(orientation,[status(thm)],[cc16_membered]) ).
fof(cc14_membered,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v4_ordinal2(B)
& v1_xreal_0(B)
& v1_int_1(B)
& v1_rat_1(B) ) ) ),
input ).
fof(cc14_membered_0,plain,
! [A] :
( ~ v5_membered(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v4_ordinal2(B)
& v1_xreal_0(B)
& v1_int_1(B)
& v1_rat_1(B) ) ) ),
inference(orientation,[status(thm)],[cc14_membered]) ).
fof(cc13_membered,axiom,
! [A] :
( v4_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B)
& v1_int_1(B)
& v1_rat_1(B) ) ) ),
input ).
fof(cc13_membered_0,plain,
! [A] :
( ~ v4_membered(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B)
& v1_int_1(B)
& v1_rat_1(B) ) ) ),
inference(orientation,[status(thm)],[cc13_membered]) ).
fof(cc12_membered,axiom,
! [A] :
( v3_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B)
& v1_rat_1(B) ) ) ),
input ).
fof(cc12_membered_0,plain,
! [A] :
( ~ v3_membered(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B)
& v1_rat_1(B) ) ) ),
inference(orientation,[status(thm)],[cc12_membered]) ).
fof(cc11_membered,axiom,
! [A] :
( v2_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B) ) ) ),
input ).
fof(cc11_membered_0,plain,
! [A] :
( ~ v2_membered(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B) ) ) ),
inference(orientation,[status(thm)],[cc11_membered]) ).
fof(cc10_membered,axiom,
! [A] :
( v1_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> v1_xcmplx_0(B) ) ),
input ).
fof(cc10_membered_0,plain,
! [A] :
( ~ v1_membered(A)
| ! [B] :
( m1_subset_1(B,A)
=> v1_xcmplx_0(B) ) ),
inference(orientation,[status(thm)],[cc10_membered]) ).
fof(dt_k1_xboole_0,axiom,
$true,
input ).
fof(dt_k1_xboole_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_xboole_0]) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
input ).
fof(antisymmetry_r2_hidden_0,plain,
! [A,B] :
( ~ r2_hidden(A,B)
| ~ r2_hidden(B,A) ),
inference(orientation,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(def_lhs_atom1,axiom,
! [B,A] :
( lhs_atom1(B,A)
<=> ~ r2_hidden(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A,B] :
( lhs_atom1(B,A)
| ~ r2_hidden(B,A) ),
inference(fold_definition,[status(thm)],[antisymmetry_r2_hidden_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> $true ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [A] :
( lhs_atom3(A)
<=> ~ v1_membered(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom3(A)
| ! [B] :
( m1_subset_1(B,A)
=> v1_xcmplx_0(B) ) ),
inference(fold_definition,[status(thm)],[cc10_membered_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [A] :
( lhs_atom4(A)
<=> ~ v2_membered(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom4(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B) ) ) ),
inference(fold_definition,[status(thm)],[cc11_membered_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [A] :
( lhs_atom5(A)
<=> ~ v3_membered(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [A] :
( lhs_atom5(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B)
& v1_rat_1(B) ) ) ),
inference(fold_definition,[status(thm)],[cc12_membered_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [A] :
( lhs_atom6(A)
<=> ~ v4_membered(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom6(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B)
& v1_int_1(B)
& v1_rat_1(B) ) ) ),
inference(fold_definition,[status(thm)],[cc13_membered_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [A] :
( lhs_atom7(A)
<=> ~ v5_membered(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [A] :
( lhs_atom7(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v4_ordinal2(B)
& v1_xreal_0(B)
& v1_int_1(B)
& v1_rat_1(B) ) ) ),
inference(fold_definition,[status(thm)],[cc14_membered_0,def_lhs_atom7]) ).
fof(to_be_clausified_7,plain,
! [A] :
( lhs_atom3(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_membered(B) ) ),
inference(fold_definition,[status(thm)],[cc16_membered_0,def_lhs_atom3]) ).
fof(to_be_clausified_8,plain,
! [A] :
( lhs_atom4(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B) ) ) ),
inference(fold_definition,[status(thm)],[cc17_membered_0,def_lhs_atom4]) ).
fof(to_be_clausified_9,plain,
! [A] :
( lhs_atom5(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B) ) ) ),
inference(fold_definition,[status(thm)],[cc18_membered_0,def_lhs_atom5]) ).
fof(to_be_clausified_10,plain,
! [A] :
( lhs_atom6(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B) ) ) ),
inference(fold_definition,[status(thm)],[cc19_membered_0,def_lhs_atom6]) ).
fof(to_be_clausified_11,plain,
! [A] :
( lhs_atom7(A)
| v4_membered(A) ),
inference(fold_definition,[status(thm)],[cc1_membered_0,def_lhs_atom7]) ).
fof(to_be_clausified_12,plain,
! [A] :
( lhs_atom7(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B)
& v5_membered(B) ) ) ),
inference(fold_definition,[status(thm)],[cc20_membered_0,def_lhs_atom7]) ).
fof(to_be_clausified_13,plain,
! [A] :
( lhs_atom6(A)
| v3_membered(A) ),
inference(fold_definition,[status(thm)],[cc2_membered_0,def_lhs_atom6]) ).
fof(to_be_clausified_14,plain,
! [A] :
( lhs_atom5(A)
| v2_membered(A) ),
inference(fold_definition,[status(thm)],[cc3_membered_0,def_lhs_atom5]) ).
fof(to_be_clausified_15,plain,
! [A] :
( lhs_atom4(A)
| v1_membered(A) ),
inference(fold_definition,[status(thm)],[cc4_membered_0,def_lhs_atom4]) ).
fof(to_be_clausified_16,plain,
! [A,B] :
( lhs_atom3(A)
| v1_membered(k3_xboole_0(A,B)) ),
inference(fold_definition,[status(thm)],[fc27_membered_0,def_lhs_atom3]) ).
fof(to_be_clausified_17,plain,
! [A,B] :
( lhs_atom3(A)
| v1_membered(k3_xboole_0(B,A)) ),
inference(fold_definition,[status(thm)],[fc28_membered_0,def_lhs_atom3]) ).
fof(to_be_clausified_18,plain,
! [A,B] :
( lhs_atom4(A)
| ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B)) ) ),
inference(fold_definition,[status(thm)],[fc29_membered_0,def_lhs_atom4]) ).
fof(to_be_clausified_19,plain,
! [A,B] :
( lhs_atom4(A)
| ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A)) ) ),
inference(fold_definition,[status(thm)],[fc30_membered_0,def_lhs_atom4]) ).
fof(to_be_clausified_20,plain,
! [A,B] :
( lhs_atom5(A)
| ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B))
& v3_membered(k3_xboole_0(A,B)) ) ),
inference(fold_definition,[status(thm)],[fc31_membered_0,def_lhs_atom5]) ).
fof(to_be_clausified_21,plain,
! [A,B] :
( lhs_atom5(A)
| ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A))
& v3_membered(k3_xboole_0(B,A)) ) ),
inference(fold_definition,[status(thm)],[fc32_membered_0,def_lhs_atom5]) ).
fof(to_be_clausified_22,plain,
! [A,B] :
( lhs_atom6(A)
| ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B))
& v3_membered(k3_xboole_0(A,B))
& v4_membered(k3_xboole_0(A,B)) ) ),
inference(fold_definition,[status(thm)],[fc33_membered_0,def_lhs_atom6]) ).
fof(to_be_clausified_23,plain,
! [A,B] :
( lhs_atom6(A)
| ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A))
& v3_membered(k3_xboole_0(B,A))
& v4_membered(k3_xboole_0(B,A)) ) ),
inference(fold_definition,[status(thm)],[fc34_membered_0,def_lhs_atom6]) ).
fof(to_be_clausified_24,plain,
! [A,B] :
( lhs_atom7(A)
| ( v1_membered(k3_xboole_0(A,B))
& v2_membered(k3_xboole_0(A,B))
& v3_membered(k3_xboole_0(A,B))
& v4_membered(k3_xboole_0(A,B))
& v5_membered(k3_xboole_0(A,B)) ) ),
inference(fold_definition,[status(thm)],[fc35_membered_0,def_lhs_atom7]) ).
fof(to_be_clausified_25,plain,
! [A,B] :
( lhs_atom7(A)
| ( v1_membered(k3_xboole_0(B,A))
& v2_membered(k3_xboole_0(B,A))
& v3_membered(k3_xboole_0(B,A))
& v4_membered(k3_xboole_0(B,A))
& v5_membered(k3_xboole_0(B,A)) ) ),
inference(fold_definition,[status(thm)],[fc36_membered_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
( lhs_atom8
<=> v5_membered(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[fc6_membered_5,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> v4_membered(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[fc6_membered_4,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
( lhs_atom10
<=> v3_membered(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[fc6_membered_3,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
( lhs_atom11
<=> v2_membered(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[fc6_membered_2,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
( lhs_atom12
<=> v1_membered(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[fc6_membered_1,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
( lhs_atom13
<=> v1_xboole_0(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
( lhs_atom13
| $false ),
inference(fold_definition,[status(thm)],[fc6_membered_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [A] :
( lhs_atom14(A)
<=> ~ l1_pre_topc(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [A] :
( lhs_atom14(A)
| ? [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_xboole_0(B)
& v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B)
& v5_membered(B)
& v2_tops_1(B,A) ) ),
inference(fold_definition,[status(thm)],[rc4_tops_1_0,def_lhs_atom14]) ).
fof(to_be_clausified_33,plain,
! [A,B] :
( lhs_atom1(B,A)
| m1_subset_1(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).
fof(def_lhs_atom15,axiom,
! [A] :
( lhs_atom15(A)
<=> k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
! [A] :
( lhs_atom15(A)
| $false ),
inference(fold_definition,[status(thm)],[t2_boole_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [C,A] :
( lhs_atom16(C,A)
<=> m1_subset_1(A,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
! [A,B,C] :
( lhs_atom16(C,A)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [B,A] :
( lhs_atom17(B,A)
<=> k3_xboole_0(A,B) = k3_xboole_0(B,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_36,plain,
! [A,B] :
( lhs_atom17(B,A)
| $false ),
inference(fold_definition,[status(thm)],[commutativity_k3_xboole_0_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [A] :
( lhs_atom18(A)
<=> k3_xboole_0(A,A) = A ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
! [A] :
( lhs_atom18(A)
| $false ),
inference(fold_definition,[status(thm)],[idempotence_k3_xboole_0_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [A] :
( lhs_atom19(A)
<=> r1_tarski(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [A] :
( lhs_atom19(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom19]) ).
fof(to_be_clausified_39,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_k3_xboole_0_0,def_lhs_atom2]) ).
fof(to_be_clausified_40,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom20,axiom,
! [A] :
( lhs_atom20(A)
<=> ~ v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_41,plain,
! [A] :
( lhs_atom20(A)
| ( v1_membered(A)
& v2_membered(A)
& v3_membered(A)
& v4_membered(A)
& v5_membered(A) ) ),
inference(fold_definition,[status(thm)],[cc15_membered_0,def_lhs_atom20]) ).
fof(to_be_clausified_42,plain,
! [A] :
( lhs_atom14(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_xboole_0(B)
=> v2_tops_1(B,A) ) ) ),
inference(fold_definition,[status(thm)],[cc2_tops_1_0,def_lhs_atom14]) ).
fof(def_lhs_atom21,axiom,
! [A] :
( lhs_atom21(A)
<=> ~ v1_xboole_0(u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_43,plain,
! [A] :
( lhs_atom21(A)
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A) ) ),
inference(fold_definition,[status(thm)],[fc1_struct_0_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [A] :
( lhs_atom22(A)
<=> v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_44,plain,
! [A] :
( lhs_atom22(A)
| ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
inference(fold_definition,[status(thm)],[rc1_subset_1_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [B,A] :
( lhs_atom23(B,A)
<=> ~ m1_subset_1(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_45,plain,
! [A,B] :
( lhs_atom23(B,A)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom23]) ).
fof(to_be_clausified_46,plain,
! [A] :
( lhs_atom20(A)
| A = k1_xboole_0 ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom20]) ).
fof(def_lhs_atom24,axiom,
! [C,B,A] :
( lhs_atom24(C,B,A)
<=> k5_subset_1(A,B,C) = k5_subset_1(A,C,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_47,plain,
! [A,B,C] :
( lhs_atom24(C,B,A)
| ~ ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(fold_definition,[status(thm)],[commutativity_k5_subset_1_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [B,A] :
( lhs_atom25(B,A)
<=> k5_subset_1(A,B,B) = B ),
inference(definition,[],]) ).
fof(to_be_clausified_48,plain,
! [A,B,C] :
( lhs_atom25(B,A)
| ~ ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(fold_definition,[status(thm)],[idempotence_k5_subset_1_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [C,B,A] :
( lhs_atom26(C,B,A)
<=> k5_subset_1(A,B,C) = k3_xboole_0(B,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_49,plain,
! [A,B,C] :
( lhs_atom26(C,B,A)
| ~ ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(fold_definition,[status(thm)],[redefinition_k5_subset_1_0,def_lhs_atom26]) ).
fof(to_be_clausified_50,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom27,axiom,
! [B,A] :
( lhs_atom27(B,A)
<=> m1_subset_1(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
inference(definition,[],]) ).
fof(to_be_clausified_51,plain,
! [A,B] :
( lhs_atom27(B,A)
| ~ ( ~ v3_struct_0(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
inference(fold_definition,[status(thm)],[dt_k3_tex_4_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [C,B,A] :
( lhs_atom28(C,B,A)
<=> m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_52,plain,
! [A,B,C] :
( lhs_atom28(C,B,A)
| ~ ( m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(fold_definition,[status(thm)],[dt_k5_subset_1_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [B,A] :
( lhs_atom29(B,A)
<=> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
inference(definition,[],]) ).
fof(to_be_clausified_53,plain,
! [A,B] :
( lhs_atom29(B,A)
| ~ ( l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
inference(fold_definition,[status(thm)],[dt_k6_pre_topc_0,def_lhs_atom29]) ).
fof(to_be_clausified_54,plain,
! [A] :
( lhs_atom14(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l1_pre_topc_0,def_lhs_atom14]) ).
fof(to_be_clausified_55,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom2]) ).
fof(to_be_clausified_56,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom30,axiom,
! [A] :
( lhs_atom30(A)
<=> ~ v1_xboole_0(k1_zfmisc_1(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_57,plain,
! [A] :
( lhs_atom30(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
! [B,A] :
( lhs_atom31(B,A)
<=> v4_pre_topc(k6_pre_topc(A,B),A) ),
inference(definition,[],]) ).
fof(to_be_clausified_58,plain,
! [A,B] :
( lhs_atom31(B,A)
| ~ ( v2_pre_topc(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
inference(fold_definition,[status(thm)],[fc2_tops_1_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [B,A] :
( lhs_atom32(B,A)
<=> ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_59,plain,
! [A,B] :
( lhs_atom32(B,A)
| r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [B,A] :
( lhs_atom33(B,A)
<=> m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_60,plain,
! [A,B] :
( lhs_atom33(B,A)
| ~ r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom33]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X1,X2] :
( lhs_atom28(X3,X1,X2)
| ~ ( m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_1,axiom,
! [X3,X1,X2] :
( lhs_atom26(X3,X1,X2)
| ~ ( m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_2,axiom,
! [X3,X1,X2] :
( lhs_atom24(X3,X1,X2)
| ~ ( m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_3,axiom,
! [X1,X2] :
( lhs_atom31(X1,X2)
| ~ ( v2_pre_topc(X2)
& l1_pre_topc(X2)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ) ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_4,axiom,
! [X3,X1,X2] :
( lhs_atom25(X1,X2)
| ~ ( m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_5,axiom,
! [X1,X2] :
( lhs_atom27(X1,X2)
| ~ ( ~ v3_struct_0(X2)
& l1_pre_topc(X2)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ) ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_6,axiom,
! [X2] :
( lhs_atom14(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v1_xboole_0(X1)
=> v2_tops_1(X1,X2) ) ) ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_7,axiom,
! [X1,X2] :
( lhs_atom29(X1,X2)
| ~ ( l1_pre_topc(X2)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ) ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_8,axiom,
! [X3,X1,X2] :
( lhs_atom16(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_9,axiom,
! [X2] :
( lhs_atom14(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
& v1_xboole_0(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1)
& v2_tops_1(X1,X2) ) ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_10,axiom,
! [X2] :
( lhs_atom7(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_11,axiom,
! [X2] :
( lhs_atom6(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1) ) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_12,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1) ) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_13,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ( v1_membered(X1)
& v2_membered(X1) ) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom3(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> v1_membered(X1) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_15,axiom,
! [X1,X2] :
( lhs_atom33(X1,X2)
| ~ r1_tarski(X2,X1) ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_16,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_17,axiom,
! [X1,X2] :
( lhs_atom7(X2)
| ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2))
& v3_membered(k3_xboole_0(X1,X2))
& v4_membered(k3_xboole_0(X1,X2))
& v5_membered(k3_xboole_0(X1,X2)) ) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_18,axiom,
! [X1,X2] :
( lhs_atom7(X2)
| ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1))
& v3_membered(k3_xboole_0(X2,X1))
& v4_membered(k3_xboole_0(X2,X1))
& v5_membered(k3_xboole_0(X2,X1)) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_19,axiom,
! [X1,X2] :
( lhs_atom6(X2)
| ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2))
& v3_membered(k3_xboole_0(X1,X2))
& v4_membered(k3_xboole_0(X1,X2)) ) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_20,axiom,
! [X1,X2] :
( lhs_atom6(X2)
| ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1))
& v3_membered(k3_xboole_0(X2,X1))
& v4_membered(k3_xboole_0(X2,X1)) ) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_21,axiom,
! [X1,X2] :
( lhs_atom5(X2)
| ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2))
& v3_membered(k3_xboole_0(X1,X2)) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_22,axiom,
! [X1,X2] :
( lhs_atom5(X2)
| ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1))
& v3_membered(k3_xboole_0(X2,X1)) ) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_23,axiom,
! [X1,X2] :
( lhs_atom4(X2)
| ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2)) ) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_24,axiom,
! [X1,X2] :
( lhs_atom4(X2)
| ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1)) ) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_25,axiom,
! [X1,X2] :
( lhs_atom3(X2)
| v1_membered(k3_xboole_0(X1,X2)) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_26,axiom,
! [X1,X2] :
( lhs_atom3(X2)
| v1_membered(k3_xboole_0(X2,X1)) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_27,axiom,
! [X1,X2] :
( lhs_atom23(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_28,axiom,
! [X2] :
( lhs_atom7(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> ( v1_xcmplx_0(X1)
& v4_ordinal2(X1)
& v1_xreal_0(X1)
& v1_int_1(X1)
& v1_rat_1(X1) ) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_29,axiom,
! [X2] :
( lhs_atom6(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> ( v1_xcmplx_0(X1)
& v1_xreal_0(X1)
& v1_int_1(X1)
& v1_rat_1(X1) ) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_30,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> ( v1_xcmplx_0(X1)
& v1_xreal_0(X1)
& v1_rat_1(X1) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_31,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> ( v1_xcmplx_0(X1)
& v1_xreal_0(X1) ) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_32,axiom,
! [X2] :
( lhs_atom3(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> v1_xcmplx_0(X1) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_33,axiom,
! [X2] :
( lhs_atom22(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
& ~ v1_xboole_0(X1) ) ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_34,axiom,
! [X1,X2] :
( lhs_atom32(X1,X2)
| r1_tarski(X2,X1) ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_35,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| m1_subset_1(X2,X1) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_36,axiom,
! [X2] :
( lhs_atom21(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2) ) ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_37,axiom,
! [X1,X2] :
( lhs_atom17(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_38,axiom,
! [X2] :
( lhs_atom14(X2)
| l1_struct_0(X2) ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_39,axiom,
! [X2] :
( lhs_atom20(X2)
| ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2) ) ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_40,axiom,
! [X2] :
( lhs_atom4(X2)
| v1_membered(X2) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_41,axiom,
! [X2] :
( lhs_atom5(X2)
| v2_membered(X2) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_42,axiom,
! [X2] :
( lhs_atom6(X2)
| v3_membered(X2) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_43,axiom,
! [X2] :
( lhs_atom7(X2)
| v4_membered(X2) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_44,axiom,
! [X2] :
( lhs_atom20(X2)
| X2 = k1_xboole_0 ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_45,axiom,
! [X2] :
( lhs_atom30(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_46,axiom,
! [X2] :
( lhs_atom19(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_47,axiom,
! [X2] :
( lhs_atom18(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_48,axiom,
! [X2] :
( lhs_atom15(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_49,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_50,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_51,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_52,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_53,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_54,axiom,
( lhs_atom13
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_55,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_56,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_57,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_58,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_59,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_60,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_61,axiom,
! [X3,X1,X2] :
( lhs_atom28(X3,X1,X2)
| ~ ( m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
c_0_0 ).
fof(c_0_62,axiom,
! [X3,X1,X2] :
( lhs_atom26(X3,X1,X2)
| ~ ( m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
c_0_1 ).
fof(c_0_63,axiom,
! [X3,X1,X2] :
( lhs_atom24(X3,X1,X2)
| ~ ( m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
c_0_2 ).
fof(c_0_64,axiom,
! [X1,X2] :
( lhs_atom31(X1,X2)
| ~ ( v2_pre_topc(X2)
& l1_pre_topc(X2)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ) ),
c_0_3 ).
fof(c_0_65,axiom,
! [X3,X1,X2] :
( lhs_atom25(X1,X2)
| ~ ( m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
c_0_4 ).
fof(c_0_66,plain,
! [X1,X2] :
( lhs_atom27(X1,X2)
| ~ ( ~ v3_struct_0(X2)
& l1_pre_topc(X2)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_67,axiom,
! [X2] :
( lhs_atom14(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v1_xboole_0(X1)
=> v2_tops_1(X1,X2) ) ) ),
c_0_6 ).
fof(c_0_68,axiom,
! [X1,X2] :
( lhs_atom29(X1,X2)
| ~ ( l1_pre_topc(X2)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ) ),
c_0_7 ).
fof(c_0_69,axiom,
! [X3,X1,X2] :
( lhs_atom16(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
c_0_8 ).
fof(c_0_70,axiom,
! [X2] :
( lhs_atom14(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
& v1_xboole_0(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1)
& v2_tops_1(X1,X2) ) ),
c_0_9 ).
fof(c_0_71,axiom,
! [X2] :
( lhs_atom7(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ) ) ),
c_0_10 ).
fof(c_0_72,axiom,
! [X2] :
( lhs_atom6(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1) ) ) ),
c_0_11 ).
fof(c_0_73,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1) ) ) ),
c_0_12 ).
fof(c_0_74,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ( v1_membered(X1)
& v2_membered(X1) ) ) ),
c_0_13 ).
fof(c_0_75,axiom,
! [X2] :
( lhs_atom3(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> v1_membered(X1) ) ),
c_0_14 ).
fof(c_0_76,plain,
! [X1,X2] :
( lhs_atom33(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_77,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_78,axiom,
! [X1,X2] :
( lhs_atom7(X2)
| ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2))
& v3_membered(k3_xboole_0(X1,X2))
& v4_membered(k3_xboole_0(X1,X2))
& v5_membered(k3_xboole_0(X1,X2)) ) ),
c_0_17 ).
fof(c_0_79,axiom,
! [X1,X2] :
( lhs_atom7(X2)
| ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1))
& v3_membered(k3_xboole_0(X2,X1))
& v4_membered(k3_xboole_0(X2,X1))
& v5_membered(k3_xboole_0(X2,X1)) ) ),
c_0_18 ).
fof(c_0_80,axiom,
! [X1,X2] :
( lhs_atom6(X2)
| ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2))
& v3_membered(k3_xboole_0(X1,X2))
& v4_membered(k3_xboole_0(X1,X2)) ) ),
c_0_19 ).
fof(c_0_81,axiom,
! [X1,X2] :
( lhs_atom6(X2)
| ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1))
& v3_membered(k3_xboole_0(X2,X1))
& v4_membered(k3_xboole_0(X2,X1)) ) ),
c_0_20 ).
fof(c_0_82,axiom,
! [X1,X2] :
( lhs_atom5(X2)
| ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2))
& v3_membered(k3_xboole_0(X1,X2)) ) ),
c_0_21 ).
fof(c_0_83,axiom,
! [X1,X2] :
( lhs_atom5(X2)
| ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1))
& v3_membered(k3_xboole_0(X2,X1)) ) ),
c_0_22 ).
fof(c_0_84,axiom,
! [X1,X2] :
( lhs_atom4(X2)
| ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2)) ) ),
c_0_23 ).
fof(c_0_85,axiom,
! [X1,X2] :
( lhs_atom4(X2)
| ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1)) ) ),
c_0_24 ).
fof(c_0_86,axiom,
! [X1,X2] :
( lhs_atom3(X2)
| v1_membered(k3_xboole_0(X1,X2)) ),
c_0_25 ).
fof(c_0_87,axiom,
! [X1,X2] :
( lhs_atom3(X2)
| v1_membered(k3_xboole_0(X2,X1)) ),
c_0_26 ).
fof(c_0_88,axiom,
! [X1,X2] :
( lhs_atom23(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
c_0_27 ).
fof(c_0_89,axiom,
! [X2] :
( lhs_atom7(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> ( v1_xcmplx_0(X1)
& v4_ordinal2(X1)
& v1_xreal_0(X1)
& v1_int_1(X1)
& v1_rat_1(X1) ) ) ),
c_0_28 ).
fof(c_0_90,axiom,
! [X2] :
( lhs_atom6(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> ( v1_xcmplx_0(X1)
& v1_xreal_0(X1)
& v1_int_1(X1)
& v1_rat_1(X1) ) ) ),
c_0_29 ).
fof(c_0_91,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> ( v1_xcmplx_0(X1)
& v1_xreal_0(X1)
& v1_rat_1(X1) ) ) ),
c_0_30 ).
fof(c_0_92,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> ( v1_xcmplx_0(X1)
& v1_xreal_0(X1) ) ) ),
c_0_31 ).
fof(c_0_93,axiom,
! [X2] :
( lhs_atom3(X2)
| ! [X1] :
( m1_subset_1(X1,X2)
=> v1_xcmplx_0(X1) ) ),
c_0_32 ).
fof(c_0_94,plain,
! [X2] :
( lhs_atom22(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
& ~ v1_xboole_0(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_95,axiom,
! [X1,X2] :
( lhs_atom32(X1,X2)
| r1_tarski(X2,X1) ),
c_0_34 ).
fof(c_0_96,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| m1_subset_1(X2,X1) ),
c_0_35 ).
fof(c_0_97,plain,
! [X2] :
( lhs_atom21(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_98,plain,
! [X1,X2] : lhs_atom17(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_99,axiom,
! [X2] :
( lhs_atom14(X2)
| l1_struct_0(X2) ),
c_0_38 ).
fof(c_0_100,axiom,
! [X2] :
( lhs_atom20(X2)
| ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2) ) ),
c_0_39 ).
fof(c_0_101,axiom,
! [X2] :
( lhs_atom4(X2)
| v1_membered(X2) ),
c_0_40 ).
fof(c_0_102,axiom,
! [X2] :
( lhs_atom5(X2)
| v2_membered(X2) ),
c_0_41 ).
fof(c_0_103,axiom,
! [X2] :
( lhs_atom6(X2)
| v3_membered(X2) ),
c_0_42 ).
fof(c_0_104,axiom,
! [X2] :
( lhs_atom7(X2)
| v4_membered(X2) ),
c_0_43 ).
fof(c_0_105,axiom,
! [X2] :
( lhs_atom20(X2)
| X2 = k1_xboole_0 ),
c_0_44 ).
fof(c_0_106,plain,
! [X2] : lhs_atom30(X2),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_107,plain,
! [X2] : lhs_atom19(X2),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_108,plain,
! [X2] : lhs_atom18(X2),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_109,plain,
! [X2] : lhs_atom15(X2),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_110,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_111,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_112,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_113,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_114,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_115,plain,
lhs_atom13,
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_116,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_117,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_118,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_119,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_120,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_121,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_122,plain,
! [X4,X5,X6] :
( lhs_atom28(X4,X5,X6)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ m1_subset_1(X4,k1_zfmisc_1(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_123,plain,
! [X4,X5,X6] :
( lhs_atom26(X4,X5,X6)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ m1_subset_1(X4,k1_zfmisc_1(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_124,plain,
! [X4,X5,X6] :
( lhs_atom24(X4,X5,X6)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ m1_subset_1(X4,k1_zfmisc_1(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])]) ).
fof(c_0_125,plain,
! [X3,X4] :
( lhs_atom31(X3,X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])]) ).
fof(c_0_126,plain,
! [X4,X5,X6] :
( lhs_atom25(X5,X6)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ m1_subset_1(X4,k1_zfmisc_1(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).
fof(c_0_127,plain,
! [X3,X4] :
( lhs_atom27(X3,X4)
| v3_struct_0(X4)
| ~ l1_pre_topc(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).
fof(c_0_128,plain,
! [X3,X4] :
( lhs_atom14(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v1_xboole_0(X4)
| v2_tops_1(X4,X3) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
fof(c_0_129,plain,
! [X3,X4] :
( lhs_atom29(X3,X4)
| ~ l1_pre_topc(X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
fof(c_0_130,plain,
! [X4,X5,X6] :
( lhs_atom16(X4,X6)
| ~ r2_hidden(X6,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])]) ).
fof(c_0_131,plain,
! [X3] :
( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| lhs_atom14(X3) )
& ( v1_xboole_0(esk1_1(X3))
| lhs_atom14(X3) )
& ( v1_membered(esk1_1(X3))
| lhs_atom14(X3) )
& ( v2_membered(esk1_1(X3))
| lhs_atom14(X3) )
& ( v3_membered(esk1_1(X3))
| lhs_atom14(X3) )
& ( v4_membered(esk1_1(X3))
| lhs_atom14(X3) )
& ( v5_membered(esk1_1(X3))
| lhs_atom14(X3) )
& ( v2_tops_1(esk1_1(X3),X3)
| lhs_atom14(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_70])])]) ).
fof(c_0_132,plain,
! [X3,X4] :
( ( v1_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom7(X3) )
& ( v2_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom7(X3) )
& ( v3_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom7(X3) )
& ( v4_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom7(X3) )
& ( v5_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom7(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])]) ).
fof(c_0_133,plain,
! [X3,X4] :
( ( v1_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom6(X3) )
& ( v2_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom6(X3) )
& ( v3_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom6(X3) )
& ( v4_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom6(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])]) ).
fof(c_0_134,plain,
! [X3,X4] :
( ( v1_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom5(X3) )
& ( v2_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom5(X3) )
& ( v3_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom5(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])]) ).
fof(c_0_135,plain,
! [X3,X4] :
( ( v1_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom4(X3) )
& ( v2_membered(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| lhs_atom4(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])]) ).
fof(c_0_136,plain,
! [X3,X4] :
( lhs_atom3(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| v1_membered(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])]) ).
fof(c_0_137,plain,
! [X3,X4] :
( lhs_atom33(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_76]) ).
fof(c_0_138,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_77]) ).
fof(c_0_139,plain,
! [X3,X4] :
( ( v1_membered(k3_xboole_0(X3,X4))
| lhs_atom7(X4) )
& ( v2_membered(k3_xboole_0(X3,X4))
| lhs_atom7(X4) )
& ( v3_membered(k3_xboole_0(X3,X4))
| lhs_atom7(X4) )
& ( v4_membered(k3_xboole_0(X3,X4))
| lhs_atom7(X4) )
& ( v5_membered(k3_xboole_0(X3,X4))
| lhs_atom7(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_78])]) ).
fof(c_0_140,plain,
! [X3,X4] :
( ( v1_membered(k3_xboole_0(X4,X3))
| lhs_atom7(X4) )
& ( v2_membered(k3_xboole_0(X4,X3))
| lhs_atom7(X4) )
& ( v3_membered(k3_xboole_0(X4,X3))
| lhs_atom7(X4) )
& ( v4_membered(k3_xboole_0(X4,X3))
| lhs_atom7(X4) )
& ( v5_membered(k3_xboole_0(X4,X3))
| lhs_atom7(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_79])]) ).
fof(c_0_141,plain,
! [X3,X4] :
( ( v1_membered(k3_xboole_0(X3,X4))
| lhs_atom6(X4) )
& ( v2_membered(k3_xboole_0(X3,X4))
| lhs_atom6(X4) )
& ( v3_membered(k3_xboole_0(X3,X4))
| lhs_atom6(X4) )
& ( v4_membered(k3_xboole_0(X3,X4))
| lhs_atom6(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_80])]) ).
fof(c_0_142,plain,
! [X3,X4] :
( ( v1_membered(k3_xboole_0(X4,X3))
| lhs_atom6(X4) )
& ( v2_membered(k3_xboole_0(X4,X3))
| lhs_atom6(X4) )
& ( v3_membered(k3_xboole_0(X4,X3))
| lhs_atom6(X4) )
& ( v4_membered(k3_xboole_0(X4,X3))
| lhs_atom6(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_81])]) ).
fof(c_0_143,plain,
! [X3,X4] :
( ( v1_membered(k3_xboole_0(X3,X4))
| lhs_atom5(X4) )
& ( v2_membered(k3_xboole_0(X3,X4))
| lhs_atom5(X4) )
& ( v3_membered(k3_xboole_0(X3,X4))
| lhs_atom5(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_82])]) ).
fof(c_0_144,plain,
! [X3,X4] :
( ( v1_membered(k3_xboole_0(X4,X3))
| lhs_atom5(X4) )
& ( v2_membered(k3_xboole_0(X4,X3))
| lhs_atom5(X4) )
& ( v3_membered(k3_xboole_0(X4,X3))
| lhs_atom5(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_83])]) ).
fof(c_0_145,plain,
! [X3,X4] :
( ( v1_membered(k3_xboole_0(X3,X4))
| lhs_atom4(X4) )
& ( v2_membered(k3_xboole_0(X3,X4))
| lhs_atom4(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_84])]) ).
fof(c_0_146,plain,
! [X3,X4] :
( ( v1_membered(k3_xboole_0(X4,X3))
| lhs_atom4(X4) )
& ( v2_membered(k3_xboole_0(X4,X3))
| lhs_atom4(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_85])]) ).
fof(c_0_147,plain,
! [X3,X4] :
( lhs_atom3(X4)
| v1_membered(k3_xboole_0(X3,X4)) ),
inference(variable_rename,[status(thm)],[c_0_86]) ).
fof(c_0_148,plain,
! [X3,X4] :
( lhs_atom3(X4)
| v1_membered(k3_xboole_0(X4,X3)) ),
inference(variable_rename,[status(thm)],[c_0_87]) ).
fof(c_0_149,plain,
! [X3,X4] :
( lhs_atom23(X3,X4)
| v1_xboole_0(X3)
| r2_hidden(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_88]) ).
fof(c_0_150,plain,
! [X3,X4] :
( ( v1_xcmplx_0(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom7(X3) )
& ( v4_ordinal2(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom7(X3) )
& ( v1_xreal_0(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom7(X3) )
& ( v1_int_1(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom7(X3) )
& ( v1_rat_1(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom7(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])]) ).
fof(c_0_151,plain,
! [X3,X4] :
( ( v1_xcmplx_0(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom6(X3) )
& ( v1_xreal_0(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom6(X3) )
& ( v1_int_1(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom6(X3) )
& ( v1_rat_1(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom6(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])]) ).
fof(c_0_152,plain,
! [X3,X4] :
( ( v1_xcmplx_0(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom5(X3) )
& ( v1_xreal_0(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom5(X3) )
& ( v1_rat_1(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom5(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])])]) ).
fof(c_0_153,plain,
! [X3,X4] :
( ( v1_xcmplx_0(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom4(X3) )
& ( v1_xreal_0(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom4(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])]) ).
fof(c_0_154,plain,
! [X3,X4] :
( lhs_atom3(X3)
| ~ m1_subset_1(X4,X3)
| v1_xcmplx_0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])]) ).
fof(c_0_155,plain,
! [X3] :
( ( m1_subset_1(esk2_1(X3),k1_zfmisc_1(X3))
| lhs_atom22(X3) )
& ( ~ v1_xboole_0(esk2_1(X3))
| lhs_atom22(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_94])])]) ).
fof(c_0_156,plain,
! [X3,X4] :
( lhs_atom32(X3,X4)
| r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_95]) ).
fof(c_0_157,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| m1_subset_1(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_96]) ).
fof(c_0_158,plain,
! [X3] :
( lhs_atom21(X3)
| v3_struct_0(X3)
| ~ l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])]) ).
fof(c_0_159,plain,
! [X3,X4] : lhs_atom17(X3,X4),
inference(variable_rename,[status(thm)],[c_0_98]) ).
fof(c_0_160,plain,
! [X3] :
( lhs_atom14(X3)
| l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[c_0_99]) ).
fof(c_0_161,plain,
! [X3] :
( ( v1_membered(X3)
| lhs_atom20(X3) )
& ( v2_membered(X3)
| lhs_atom20(X3) )
& ( v3_membered(X3)
| lhs_atom20(X3) )
& ( v4_membered(X3)
| lhs_atom20(X3) )
& ( v5_membered(X3)
| lhs_atom20(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_100])]) ).
fof(c_0_162,plain,
! [X3] :
( lhs_atom4(X3)
| v1_membered(X3) ),
inference(variable_rename,[status(thm)],[c_0_101]) ).
fof(c_0_163,plain,
! [X3] :
( lhs_atom5(X3)
| v2_membered(X3) ),
inference(variable_rename,[status(thm)],[c_0_102]) ).
fof(c_0_164,plain,
! [X3] :
( lhs_atom6(X3)
| v3_membered(X3) ),
inference(variable_rename,[status(thm)],[c_0_103]) ).
fof(c_0_165,plain,
! [X3] :
( lhs_atom7(X3)
| v4_membered(X3) ),
inference(variable_rename,[status(thm)],[c_0_104]) ).
fof(c_0_166,plain,
! [X3] :
( lhs_atom20(X3)
| X3 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[c_0_105]) ).
fof(c_0_167,plain,
! [X3] : lhs_atom30(X3),
inference(variable_rename,[status(thm)],[c_0_106]) ).
fof(c_0_168,plain,
! [X3] : lhs_atom19(X3),
inference(variable_rename,[status(thm)],[c_0_107]) ).
fof(c_0_169,plain,
! [X3] : lhs_atom18(X3),
inference(variable_rename,[status(thm)],[c_0_108]) ).
fof(c_0_170,plain,
! [X3] : lhs_atom15(X3),
inference(variable_rename,[status(thm)],[c_0_109]) ).
fof(c_0_171,plain,
lhs_atom2,
c_0_110 ).
fof(c_0_172,plain,
lhs_atom2,
c_0_111 ).
fof(c_0_173,plain,
lhs_atom2,
c_0_112 ).
fof(c_0_174,plain,
lhs_atom2,
c_0_113 ).
fof(c_0_175,plain,
lhs_atom2,
c_0_114 ).
fof(c_0_176,plain,
lhs_atom13,
c_0_115 ).
fof(c_0_177,plain,
lhs_atom12,
c_0_116 ).
fof(c_0_178,plain,
lhs_atom11,
c_0_117 ).
fof(c_0_179,plain,
lhs_atom10,
c_0_118 ).
fof(c_0_180,plain,
lhs_atom9,
c_0_119 ).
fof(c_0_181,plain,
lhs_atom8,
c_0_120 ).
fof(c_0_182,plain,
lhs_atom2,
c_0_121 ).
cnf(c_0_183,plain,
( lhs_atom28(X1,X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_184,plain,
( lhs_atom26(X1,X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_185,plain,
( lhs_atom24(X1,X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_186,plain,
( lhs_atom31(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_187,plain,
( lhs_atom25(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_188,plain,
( v3_struct_0(X2)
| lhs_atom27(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_189,plain,
( v2_tops_1(X1,X2)
| lhs_atom14(X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_190,plain,
( lhs_atom29(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_191,plain,
( lhs_atom16(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_192,plain,
( lhs_atom14(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_193,plain,
( lhs_atom7(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_194,plain,
( lhs_atom7(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_195,plain,
( lhs_atom7(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_196,plain,
( lhs_atom7(X1)
| v4_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_197,plain,
( lhs_atom7(X1)
| v5_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_198,plain,
( lhs_atom6(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_199,plain,
( lhs_atom6(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_200,plain,
( lhs_atom6(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_201,plain,
( lhs_atom6(X1)
| v4_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_202,plain,
( lhs_atom5(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_203,plain,
( lhs_atom5(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_204,plain,
( lhs_atom5(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_205,plain,
( lhs_atom4(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_206,plain,
( lhs_atom4(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_207,plain,
( v1_membered(X1)
| lhs_atom3(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_208,plain,
( lhs_atom33(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_209,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_210,plain,
( lhs_atom7(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_211,plain,
( lhs_atom7(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_212,plain,
( lhs_atom7(X1)
| v3_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_213,plain,
( lhs_atom7(X1)
| v4_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_214,plain,
( lhs_atom7(X1)
| v5_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_215,plain,
( lhs_atom7(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_216,plain,
( lhs_atom7(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_217,plain,
( lhs_atom7(X1)
| v3_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_218,plain,
( lhs_atom7(X1)
| v4_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_219,plain,
( lhs_atom7(X1)
| v5_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_220,plain,
( lhs_atom6(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_221,plain,
( lhs_atom6(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_222,plain,
( lhs_atom6(X1)
| v3_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_223,plain,
( lhs_atom6(X1)
| v4_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_224,plain,
( lhs_atom6(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_225,plain,
( lhs_atom6(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_226,plain,
( lhs_atom6(X1)
| v3_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_227,plain,
( lhs_atom6(X1)
| v4_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_228,plain,
( lhs_atom5(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_229,plain,
( lhs_atom5(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_230,plain,
( lhs_atom5(X1)
| v3_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_231,plain,
( lhs_atom5(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_232,plain,
( lhs_atom5(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_233,plain,
( lhs_atom5(X1)
| v3_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_234,plain,
( lhs_atom4(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_235,plain,
( lhs_atom4(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_236,plain,
( lhs_atom4(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_237,plain,
( lhs_atom4(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_238,plain,
( v1_membered(k3_xboole_0(X1,X2))
| lhs_atom3(X2) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_239,plain,
( v1_membered(k3_xboole_0(X1,X2))
| lhs_atom3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_240,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom23(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_241,plain,
( lhs_atom7(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_242,plain,
( lhs_atom7(X1)
| v4_ordinal2(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_243,plain,
( lhs_atom7(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_244,plain,
( lhs_atom7(X1)
| v1_int_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_245,plain,
( lhs_atom7(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_246,plain,
( lhs_atom6(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_247,plain,
( lhs_atom6(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_248,plain,
( lhs_atom6(X1)
| v1_int_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_249,plain,
( lhs_atom6(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_250,plain,
( lhs_atom5(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_251,plain,
( lhs_atom5(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_252,plain,
( lhs_atom5(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_253,plain,
( lhs_atom4(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_254,plain,
( lhs_atom4(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_255,plain,
( v1_xcmplx_0(X1)
| lhs_atom3(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_256,plain,
( lhs_atom22(X1)
| m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_257,plain,
( r1_tarski(X1,X2)
| lhs_atom32(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_258,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_259,plain,
( lhs_atom14(X1)
| v2_tops_1(esk1_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_260,plain,
( lhs_atom22(X1)
| ~ v1_xboole_0(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_261,plain,
( v3_struct_0(X1)
| lhs_atom21(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_262,plain,
( lhs_atom14(X1)
| v1_xboole_0(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_263,plain,
( lhs_atom14(X1)
| v1_membered(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_264,plain,
( lhs_atom14(X1)
| v2_membered(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_265,plain,
( lhs_atom14(X1)
| v3_membered(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_266,plain,
( lhs_atom14(X1)
| v4_membered(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_267,plain,
( lhs_atom14(X1)
| v5_membered(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_268,plain,
lhs_atom17(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_269,plain,
( l1_struct_0(X1)
| lhs_atom14(X1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_270,plain,
( lhs_atom20(X1)
| v1_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_271,plain,
( lhs_atom20(X1)
| v2_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_272,plain,
( lhs_atom20(X1)
| v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_273,plain,
( lhs_atom20(X1)
| v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_274,plain,
( lhs_atom20(X1)
| v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_275,plain,
( v1_membered(X1)
| lhs_atom4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_276,plain,
( v2_membered(X1)
| lhs_atom5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_277,plain,
( v3_membered(X1)
| lhs_atom6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_278,plain,
( v4_membered(X1)
| lhs_atom7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_279,plain,
( X1 = k1_xboole_0
| lhs_atom20(X1) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_280,plain,
lhs_atom30(X1),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_281,plain,
lhs_atom19(X1),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_282,plain,
lhs_atom18(X1),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_283,plain,
lhs_atom15(X1),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_284,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_285,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_286,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_287,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_288,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_289,plain,
lhs_atom13,
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_290,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_291,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_292,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_293,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_294,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_295,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_296,plain,
( lhs_atom28(X1,X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
c_0_183,
[final] ).
cnf(c_0_297,plain,
( lhs_atom26(X1,X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
c_0_184,
[final] ).
cnf(c_0_298,plain,
( lhs_atom24(X1,X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
c_0_185,
[final] ).
cnf(c_0_299,plain,
( lhs_atom31(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
c_0_186,
[final] ).
cnf(c_0_300,plain,
( lhs_atom25(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
c_0_187,
[final] ).
cnf(c_0_301,plain,
( v3_struct_0(X2)
| lhs_atom27(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
c_0_188,
[final] ).
cnf(c_0_302,plain,
( v2_tops_1(X1,X2)
| lhs_atom14(X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
c_0_189,
[final] ).
cnf(c_0_303,plain,
( lhs_atom29(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
c_0_190,
[final] ).
cnf(c_0_304,plain,
( lhs_atom16(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
c_0_191,
[final] ).
cnf(c_0_305,plain,
( lhs_atom14(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
c_0_192,
[final] ).
cnf(c_0_306,plain,
( lhs_atom7(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_193,
[final] ).
cnf(c_0_307,plain,
( lhs_atom7(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_194,
[final] ).
cnf(c_0_308,plain,
( lhs_atom7(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_195,
[final] ).
cnf(c_0_309,plain,
( lhs_atom7(X1)
| v4_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_196,
[final] ).
cnf(c_0_310,plain,
( lhs_atom7(X1)
| v5_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_197,
[final] ).
cnf(c_0_311,plain,
( lhs_atom6(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_198,
[final] ).
cnf(c_0_312,plain,
( lhs_atom6(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_199,
[final] ).
cnf(c_0_313,plain,
( lhs_atom6(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_200,
[final] ).
cnf(c_0_314,plain,
( lhs_atom6(X1)
| v4_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_201,
[final] ).
cnf(c_0_315,plain,
( lhs_atom5(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_202,
[final] ).
cnf(c_0_316,plain,
( lhs_atom5(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_203,
[final] ).
cnf(c_0_317,plain,
( lhs_atom5(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_204,
[final] ).
cnf(c_0_318,plain,
( lhs_atom4(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_205,
[final] ).
cnf(c_0_319,plain,
( lhs_atom4(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_206,
[final] ).
cnf(c_0_320,plain,
( v1_membered(X1)
| lhs_atom3(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
c_0_207,
[final] ).
cnf(c_0_321,plain,
( lhs_atom33(X2,X1)
| ~ r1_tarski(X1,X2) ),
c_0_208,
[final] ).
cnf(c_0_322,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
c_0_209,
[final] ).
cnf(c_0_323,plain,
( lhs_atom7(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
c_0_210,
[final] ).
cnf(c_0_324,plain,
( lhs_atom7(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
c_0_211,
[final] ).
cnf(c_0_325,plain,
( lhs_atom7(X1)
| v3_membered(k3_xboole_0(X2,X1)) ),
c_0_212,
[final] ).
cnf(c_0_326,plain,
( lhs_atom7(X1)
| v4_membered(k3_xboole_0(X2,X1)) ),
c_0_213,
[final] ).
cnf(c_0_327,plain,
( lhs_atom7(X1)
| v5_membered(k3_xboole_0(X2,X1)) ),
c_0_214,
[final] ).
cnf(c_0_328,plain,
( lhs_atom7(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
c_0_215,
[final] ).
cnf(c_0_329,plain,
( lhs_atom7(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
c_0_216,
[final] ).
cnf(c_0_330,plain,
( lhs_atom7(X1)
| v3_membered(k3_xboole_0(X1,X2)) ),
c_0_217,
[final] ).
cnf(c_0_331,plain,
( lhs_atom7(X1)
| v4_membered(k3_xboole_0(X1,X2)) ),
c_0_218,
[final] ).
cnf(c_0_332,plain,
( lhs_atom7(X1)
| v5_membered(k3_xboole_0(X1,X2)) ),
c_0_219,
[final] ).
cnf(c_0_333,plain,
( lhs_atom6(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
c_0_220,
[final] ).
cnf(c_0_334,plain,
( lhs_atom6(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
c_0_221,
[final] ).
cnf(c_0_335,plain,
( lhs_atom6(X1)
| v3_membered(k3_xboole_0(X2,X1)) ),
c_0_222,
[final] ).
cnf(c_0_336,plain,
( lhs_atom6(X1)
| v4_membered(k3_xboole_0(X2,X1)) ),
c_0_223,
[final] ).
cnf(c_0_337,plain,
( lhs_atom6(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
c_0_224,
[final] ).
cnf(c_0_338,plain,
( lhs_atom6(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
c_0_225,
[final] ).
cnf(c_0_339,plain,
( lhs_atom6(X1)
| v3_membered(k3_xboole_0(X1,X2)) ),
c_0_226,
[final] ).
cnf(c_0_340,plain,
( lhs_atom6(X1)
| v4_membered(k3_xboole_0(X1,X2)) ),
c_0_227,
[final] ).
cnf(c_0_341,plain,
( lhs_atom5(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
c_0_228,
[final] ).
cnf(c_0_342,plain,
( lhs_atom5(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
c_0_229,
[final] ).
cnf(c_0_343,plain,
( lhs_atom5(X1)
| v3_membered(k3_xboole_0(X2,X1)) ),
c_0_230,
[final] ).
cnf(c_0_344,plain,
( lhs_atom5(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
c_0_231,
[final] ).
cnf(c_0_345,plain,
( lhs_atom5(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
c_0_232,
[final] ).
cnf(c_0_346,plain,
( lhs_atom5(X1)
| v3_membered(k3_xboole_0(X1,X2)) ),
c_0_233,
[final] ).
cnf(c_0_347,plain,
( lhs_atom4(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
c_0_234,
[final] ).
cnf(c_0_348,plain,
( lhs_atom4(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
c_0_235,
[final] ).
cnf(c_0_349,plain,
( lhs_atom4(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
c_0_236,
[final] ).
cnf(c_0_350,plain,
( lhs_atom4(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
c_0_237,
[final] ).
cnf(c_0_351,plain,
( v1_membered(k3_xboole_0(X1,X2))
| lhs_atom3(X2) ),
c_0_238,
[final] ).
cnf(c_0_352,plain,
( v1_membered(k3_xboole_0(X1,X2))
| lhs_atom3(X1) ),
c_0_239,
[final] ).
cnf(c_0_353,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom23(X2,X1) ),
c_0_240,
[final] ).
cnf(c_0_354,plain,
( lhs_atom7(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_241,
[final] ).
cnf(c_0_355,plain,
( lhs_atom7(X1)
| v4_ordinal2(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_242,
[final] ).
cnf(c_0_356,plain,
( lhs_atom7(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_243,
[final] ).
cnf(c_0_357,plain,
( lhs_atom7(X1)
| v1_int_1(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_244,
[final] ).
cnf(c_0_358,plain,
( lhs_atom7(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_245,
[final] ).
cnf(c_0_359,plain,
( lhs_atom6(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_246,
[final] ).
cnf(c_0_360,plain,
( lhs_atom6(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_247,
[final] ).
cnf(c_0_361,plain,
( lhs_atom6(X1)
| v1_int_1(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_248,
[final] ).
cnf(c_0_362,plain,
( lhs_atom6(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_249,
[final] ).
cnf(c_0_363,plain,
( lhs_atom5(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_250,
[final] ).
cnf(c_0_364,plain,
( lhs_atom5(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_251,
[final] ).
cnf(c_0_365,plain,
( lhs_atom5(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_252,
[final] ).
cnf(c_0_366,plain,
( lhs_atom4(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_253,
[final] ).
cnf(c_0_367,plain,
( lhs_atom4(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_254,
[final] ).
cnf(c_0_368,plain,
( v1_xcmplx_0(X1)
| lhs_atom3(X2)
| ~ m1_subset_1(X1,X2) ),
c_0_255,
[final] ).
cnf(c_0_369,plain,
( lhs_atom22(X1)
| m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)) ),
c_0_256,
[final] ).
cnf(c_0_370,plain,
( r1_tarski(X1,X2)
| lhs_atom32(X2,X1) ),
c_0_257,
[final] ).
cnf(c_0_371,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_258,
[final] ).
cnf(c_0_372,plain,
( lhs_atom14(X1)
| v2_tops_1(esk1_1(X1),X1) ),
c_0_259,
[final] ).
cnf(c_0_373,plain,
( lhs_atom22(X1)
| ~ v1_xboole_0(esk2_1(X1)) ),
c_0_260,
[final] ).
cnf(c_0_374,plain,
( v3_struct_0(X1)
| lhs_atom21(X1)
| ~ l1_struct_0(X1) ),
c_0_261,
[final] ).
cnf(c_0_375,plain,
( lhs_atom14(X1)
| v1_xboole_0(esk1_1(X1)) ),
c_0_262,
[final] ).
cnf(c_0_376,plain,
( lhs_atom14(X1)
| v1_membered(esk1_1(X1)) ),
c_0_263,
[final] ).
cnf(c_0_377,plain,
( lhs_atom14(X1)
| v2_membered(esk1_1(X1)) ),
c_0_264,
[final] ).
cnf(c_0_378,plain,
( lhs_atom14(X1)
| v3_membered(esk1_1(X1)) ),
c_0_265,
[final] ).
cnf(c_0_379,plain,
( lhs_atom14(X1)
| v4_membered(esk1_1(X1)) ),
c_0_266,
[final] ).
cnf(c_0_380,plain,
( lhs_atom14(X1)
| v5_membered(esk1_1(X1)) ),
c_0_267,
[final] ).
cnf(c_0_381,plain,
lhs_atom17(X1,X2),
c_0_268,
[final] ).
cnf(c_0_382,plain,
( l1_struct_0(X1)
| lhs_atom14(X1) ),
c_0_269,
[final] ).
cnf(c_0_383,plain,
( lhs_atom20(X1)
| v1_membered(X1) ),
c_0_270,
[final] ).
cnf(c_0_384,plain,
( lhs_atom20(X1)
| v2_membered(X1) ),
c_0_271,
[final] ).
cnf(c_0_385,plain,
( lhs_atom20(X1)
| v3_membered(X1) ),
c_0_272,
[final] ).
cnf(c_0_386,plain,
( lhs_atom20(X1)
| v4_membered(X1) ),
c_0_273,
[final] ).
cnf(c_0_387,plain,
( lhs_atom20(X1)
| v5_membered(X1) ),
c_0_274,
[final] ).
cnf(c_0_388,plain,
( v1_membered(X1)
| lhs_atom4(X1) ),
c_0_275,
[final] ).
cnf(c_0_389,plain,
( v2_membered(X1)
| lhs_atom5(X1) ),
c_0_276,
[final] ).
cnf(c_0_390,plain,
( v3_membered(X1)
| lhs_atom6(X1) ),
c_0_277,
[final] ).
cnf(c_0_391,plain,
( v4_membered(X1)
| lhs_atom7(X1) ),
c_0_278,
[final] ).
cnf(c_0_392,plain,
( X1 = k1_xboole_0
| lhs_atom20(X1) ),
c_0_279,
[final] ).
cnf(c_0_393,plain,
lhs_atom30(X1),
c_0_280,
[final] ).
cnf(c_0_394,plain,
lhs_atom19(X1),
c_0_281,
[final] ).
cnf(c_0_395,plain,
lhs_atom18(X1),
c_0_282,
[final] ).
cnf(c_0_396,plain,
lhs_atom15(X1),
c_0_283,
[final] ).
cnf(c_0_397,plain,
lhs_atom2,
c_0_284,
[final] ).
cnf(c_0_398,plain,
lhs_atom2,
c_0_285,
[final] ).
cnf(c_0_399,plain,
lhs_atom2,
c_0_286,
[final] ).
cnf(c_0_400,plain,
lhs_atom2,
c_0_287,
[final] ).
cnf(c_0_401,plain,
lhs_atom2,
c_0_288,
[final] ).
cnf(c_0_402,plain,
lhs_atom13,
c_0_289,
[final] ).
cnf(c_0_403,plain,
lhs_atom12,
c_0_290,
[final] ).
cnf(c_0_404,plain,
lhs_atom11,
c_0_291,
[final] ).
cnf(c_0_405,plain,
lhs_atom10,
c_0_292,
[final] ).
cnf(c_0_406,plain,
lhs_atom9,
c_0_293,
[final] ).
cnf(c_0_407,plain,
lhs_atom8,
c_0_294,
[final] ).
cnf(c_0_408,plain,
lhs_atom2,
c_0_295,
[final] ).
% End CNF derivation
cnf(c_0_296_0,axiom,
( m1_subset_1(k5_subset_1(X2,X3,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_296,def_lhs_atom28]) ).
cnf(c_0_297_0,axiom,
( k5_subset_1(X2,X3,X1) = k3_xboole_0(X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_297,def_lhs_atom26]) ).
cnf(c_0_298_0,axiom,
( k5_subset_1(X2,X3,X1) = k5_subset_1(X2,X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_298,def_lhs_atom24]) ).
cnf(c_0_299_0,axiom,
( v4_pre_topc(k6_pre_topc(X2,X1),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(unfold_definition,[status(thm)],[c_0_299,def_lhs_atom31]) ).
cnf(c_0_300_0,axiom,
( k5_subset_1(X2,X3,X3) = X3
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_300,def_lhs_atom25]) ).
cnf(c_0_301_0,axiom,
( m1_subset_1(k3_tex_4(X2,X1),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(unfold_definition,[status(thm)],[c_0_301,def_lhs_atom27]) ).
cnf(c_0_302_0,axiom,
( ~ l1_pre_topc(X2)
| v2_tops_1(X1,X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(unfold_definition,[status(thm)],[c_0_302,def_lhs_atom14]) ).
cnf(c_0_303_0,axiom,
( m1_subset_1(k6_pre_topc(X2,X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(unfold_definition,[status(thm)],[c_0_303,def_lhs_atom29]) ).
cnf(c_0_304_0,axiom,
( m1_subset_1(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_304,def_lhs_atom16]) ).
cnf(c_0_305_0,axiom,
( ~ l1_pre_topc(X1)
| m1_subset_1(sk1_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(unfold_definition,[status(thm)],[c_0_305,def_lhs_atom14]) ).
cnf(c_0_306_0,axiom,
( ~ v5_membered(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_306,def_lhs_atom7]) ).
cnf(c_0_307_0,axiom,
( ~ v5_membered(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_307,def_lhs_atom7]) ).
cnf(c_0_308_0,axiom,
( ~ v5_membered(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_308,def_lhs_atom7]) ).
cnf(c_0_309_0,axiom,
( ~ v5_membered(X1)
| v4_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_309,def_lhs_atom7]) ).
cnf(c_0_310_0,axiom,
( ~ v5_membered(X1)
| v5_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_310,def_lhs_atom7]) ).
cnf(c_0_311_0,axiom,
( ~ v4_membered(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_311,def_lhs_atom6]) ).
cnf(c_0_312_0,axiom,
( ~ v4_membered(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_312,def_lhs_atom6]) ).
cnf(c_0_313_0,axiom,
( ~ v4_membered(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_313,def_lhs_atom6]) ).
cnf(c_0_314_0,axiom,
( ~ v4_membered(X1)
| v4_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_314,def_lhs_atom6]) ).
cnf(c_0_315_0,axiom,
( ~ v3_membered(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_315,def_lhs_atom5]) ).
cnf(c_0_316_0,axiom,
( ~ v3_membered(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_316,def_lhs_atom5]) ).
cnf(c_0_317_0,axiom,
( ~ v3_membered(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_317,def_lhs_atom5]) ).
cnf(c_0_318_0,axiom,
( ~ v2_membered(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_318,def_lhs_atom4]) ).
cnf(c_0_319_0,axiom,
( ~ v2_membered(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_319,def_lhs_atom4]) ).
cnf(c_0_320_0,axiom,
( ~ v1_membered(X2)
| v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_320,def_lhs_atom3]) ).
cnf(c_0_321_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_321,def_lhs_atom33]) ).
cnf(c_0_322_0,axiom,
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_322,def_lhs_atom1]) ).
cnf(c_0_323_0,axiom,
( ~ v5_membered(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_323,def_lhs_atom7]) ).
cnf(c_0_324_0,axiom,
( ~ v5_membered(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_324,def_lhs_atom7]) ).
cnf(c_0_325_0,axiom,
( ~ v5_membered(X1)
| v3_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_325,def_lhs_atom7]) ).
cnf(c_0_326_0,axiom,
( ~ v5_membered(X1)
| v4_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_326,def_lhs_atom7]) ).
cnf(c_0_327_0,axiom,
( ~ v5_membered(X1)
| v5_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_327,def_lhs_atom7]) ).
cnf(c_0_328_0,axiom,
( ~ v5_membered(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_328,def_lhs_atom7]) ).
cnf(c_0_329_0,axiom,
( ~ v5_membered(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_329,def_lhs_atom7]) ).
cnf(c_0_330_0,axiom,
( ~ v5_membered(X1)
| v3_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_330,def_lhs_atom7]) ).
cnf(c_0_331_0,axiom,
( ~ v5_membered(X1)
| v4_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_331,def_lhs_atom7]) ).
cnf(c_0_332_0,axiom,
( ~ v5_membered(X1)
| v5_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_332,def_lhs_atom7]) ).
cnf(c_0_333_0,axiom,
( ~ v4_membered(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_333,def_lhs_atom6]) ).
cnf(c_0_334_0,axiom,
( ~ v4_membered(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_334,def_lhs_atom6]) ).
cnf(c_0_335_0,axiom,
( ~ v4_membered(X1)
| v3_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_335,def_lhs_atom6]) ).
cnf(c_0_336_0,axiom,
( ~ v4_membered(X1)
| v4_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_336,def_lhs_atom6]) ).
cnf(c_0_337_0,axiom,
( ~ v4_membered(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_337,def_lhs_atom6]) ).
cnf(c_0_338_0,axiom,
( ~ v4_membered(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_338,def_lhs_atom6]) ).
cnf(c_0_339_0,axiom,
( ~ v4_membered(X1)
| v3_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_339,def_lhs_atom6]) ).
cnf(c_0_340_0,axiom,
( ~ v4_membered(X1)
| v4_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_340,def_lhs_atom6]) ).
cnf(c_0_341_0,axiom,
( ~ v3_membered(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_341,def_lhs_atom5]) ).
cnf(c_0_342_0,axiom,
( ~ v3_membered(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_342,def_lhs_atom5]) ).
cnf(c_0_343_0,axiom,
( ~ v3_membered(X1)
| v3_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_343,def_lhs_atom5]) ).
cnf(c_0_344_0,axiom,
( ~ v3_membered(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_344,def_lhs_atom5]) ).
cnf(c_0_345_0,axiom,
( ~ v3_membered(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_345,def_lhs_atom5]) ).
cnf(c_0_346_0,axiom,
( ~ v3_membered(X1)
| v3_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_346,def_lhs_atom5]) ).
cnf(c_0_347_0,axiom,
( ~ v2_membered(X1)
| v1_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_347,def_lhs_atom4]) ).
cnf(c_0_348_0,axiom,
( ~ v2_membered(X1)
| v2_membered(k3_xboole_0(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_348,def_lhs_atom4]) ).
cnf(c_0_349_0,axiom,
( ~ v2_membered(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_349,def_lhs_atom4]) ).
cnf(c_0_350_0,axiom,
( ~ v2_membered(X1)
| v2_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_350,def_lhs_atom4]) ).
cnf(c_0_351_0,axiom,
( ~ v1_membered(X2)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_351,def_lhs_atom3]) ).
cnf(c_0_352_0,axiom,
( ~ v1_membered(X1)
| v1_membered(k3_xboole_0(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_352,def_lhs_atom3]) ).
cnf(c_0_353_0,axiom,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_353,def_lhs_atom23]) ).
cnf(c_0_354_0,axiom,
( ~ v5_membered(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_354,def_lhs_atom7]) ).
cnf(c_0_355_0,axiom,
( ~ v5_membered(X1)
| v4_ordinal2(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_355,def_lhs_atom7]) ).
cnf(c_0_356_0,axiom,
( ~ v5_membered(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_356,def_lhs_atom7]) ).
cnf(c_0_357_0,axiom,
( ~ v5_membered(X1)
| v1_int_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_357,def_lhs_atom7]) ).
cnf(c_0_358_0,axiom,
( ~ v5_membered(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_358,def_lhs_atom7]) ).
cnf(c_0_359_0,axiom,
( ~ v4_membered(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_359,def_lhs_atom6]) ).
cnf(c_0_360_0,axiom,
( ~ v4_membered(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_360,def_lhs_atom6]) ).
cnf(c_0_361_0,axiom,
( ~ v4_membered(X1)
| v1_int_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_361,def_lhs_atom6]) ).
cnf(c_0_362_0,axiom,
( ~ v4_membered(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_362,def_lhs_atom6]) ).
cnf(c_0_363_0,axiom,
( ~ v3_membered(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_363,def_lhs_atom5]) ).
cnf(c_0_364_0,axiom,
( ~ v3_membered(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_364,def_lhs_atom5]) ).
cnf(c_0_365_0,axiom,
( ~ v3_membered(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_365,def_lhs_atom5]) ).
cnf(c_0_366_0,axiom,
( ~ v2_membered(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_366,def_lhs_atom4]) ).
cnf(c_0_367_0,axiom,
( ~ v2_membered(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_367,def_lhs_atom4]) ).
cnf(c_0_368_0,axiom,
( ~ v1_membered(X2)
| v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_368,def_lhs_atom3]) ).
cnf(c_0_369_0,axiom,
( v1_xboole_0(X1)
| m1_subset_1(sk1_esk2_1(X1),k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_369,def_lhs_atom22]) ).
cnf(c_0_370_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_370,def_lhs_atom32]) ).
cnf(c_0_371_0,axiom,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_371,def_lhs_atom1]) ).
cnf(c_0_372_0,axiom,
( ~ l1_pre_topc(X1)
| v2_tops_1(sk1_esk1_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_372,def_lhs_atom14]) ).
cnf(c_0_373_0,axiom,
( v1_xboole_0(X1)
| ~ v1_xboole_0(sk1_esk2_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_373,def_lhs_atom22]) ).
cnf(c_0_374_0,axiom,
( ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_374,def_lhs_atom21]) ).
cnf(c_0_375_0,axiom,
( ~ l1_pre_topc(X1)
| v1_xboole_0(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_375,def_lhs_atom14]) ).
cnf(c_0_376_0,axiom,
( ~ l1_pre_topc(X1)
| v1_membered(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_376,def_lhs_atom14]) ).
cnf(c_0_377_0,axiom,
( ~ l1_pre_topc(X1)
| v2_membered(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_377,def_lhs_atom14]) ).
cnf(c_0_378_0,axiom,
( ~ l1_pre_topc(X1)
| v3_membered(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_378,def_lhs_atom14]) ).
cnf(c_0_379_0,axiom,
( ~ l1_pre_topc(X1)
| v4_membered(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_379,def_lhs_atom14]) ).
cnf(c_0_380_0,axiom,
( ~ l1_pre_topc(X1)
| v5_membered(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_380,def_lhs_atom14]) ).
cnf(c_0_382_0,axiom,
( ~ l1_pre_topc(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_382,def_lhs_atom14]) ).
cnf(c_0_383_0,axiom,
( ~ v1_xboole_0(X1)
| v1_membered(X1) ),
inference(unfold_definition,[status(thm)],[c_0_383,def_lhs_atom20]) ).
cnf(c_0_384_0,axiom,
( ~ v1_xboole_0(X1)
| v2_membered(X1) ),
inference(unfold_definition,[status(thm)],[c_0_384,def_lhs_atom20]) ).
cnf(c_0_385_0,axiom,
( ~ v1_xboole_0(X1)
| v3_membered(X1) ),
inference(unfold_definition,[status(thm)],[c_0_385,def_lhs_atom20]) ).
cnf(c_0_386_0,axiom,
( ~ v1_xboole_0(X1)
| v4_membered(X1) ),
inference(unfold_definition,[status(thm)],[c_0_386,def_lhs_atom20]) ).
cnf(c_0_387_0,axiom,
( ~ v1_xboole_0(X1)
| v5_membered(X1) ),
inference(unfold_definition,[status(thm)],[c_0_387,def_lhs_atom20]) ).
cnf(c_0_388_0,axiom,
( ~ v2_membered(X1)
| v1_membered(X1) ),
inference(unfold_definition,[status(thm)],[c_0_388,def_lhs_atom4]) ).
cnf(c_0_389_0,axiom,
( ~ v3_membered(X1)
| v2_membered(X1) ),
inference(unfold_definition,[status(thm)],[c_0_389,def_lhs_atom5]) ).
cnf(c_0_390_0,axiom,
( ~ v4_membered(X1)
| v3_membered(X1) ),
inference(unfold_definition,[status(thm)],[c_0_390,def_lhs_atom6]) ).
cnf(c_0_391_0,axiom,
( ~ v5_membered(X1)
| v4_membered(X1) ),
inference(unfold_definition,[status(thm)],[c_0_391,def_lhs_atom7]) ).
cnf(c_0_392_0,axiom,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(unfold_definition,[status(thm)],[c_0_392,def_lhs_atom20]) ).
cnf(c_0_381_0,axiom,
k3_xboole_0(X2,X1) = k3_xboole_0(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_381,def_lhs_atom17]) ).
cnf(c_0_393_0,axiom,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(unfold_definition,[status(thm)],[c_0_393,def_lhs_atom30]) ).
cnf(c_0_394_0,axiom,
r1_tarski(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_394,def_lhs_atom19]) ).
cnf(c_0_395_0,axiom,
k3_xboole_0(X1,X1) = X1,
inference(unfold_definition,[status(thm)],[c_0_395,def_lhs_atom18]) ).
cnf(c_0_396_0,axiom,
k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
inference(unfold_definition,[status(thm)],[c_0_396,def_lhs_atom15]) ).
cnf(c_0_397_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_397,def_lhs_atom2]) ).
cnf(c_0_398_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_398,def_lhs_atom2]) ).
cnf(c_0_399_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_399,def_lhs_atom2]) ).
cnf(c_0_400_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_400,def_lhs_atom2]) ).
cnf(c_0_401_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_401,def_lhs_atom2]) ).
cnf(c_0_402_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_402,def_lhs_atom13]) ).
cnf(c_0_403_0,axiom,
v1_membered(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_403,def_lhs_atom12]) ).
cnf(c_0_404_0,axiom,
v2_membered(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_404,def_lhs_atom11]) ).
cnf(c_0_405_0,axiom,
v3_membered(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_405,def_lhs_atom10]) ).
cnf(c_0_406_0,axiom,
v4_membered(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_406,def_lhs_atom9]) ).
cnf(c_0_407_0,axiom,
v5_membered(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_407,def_lhs_atom8]) ).
cnf(c_0_408_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_408,def_lhs_atom2]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
file('<stdin>',t5_tsp_2) ).
fof(c_0_1_002,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v4_pre_topc(X2,X1)
& v2_tops_1(X2,X1) )
=> ( v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ) ) ),
file('<stdin>',cc5_tops_1) ).
fof(c_0_2_003,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v3_pre_topc(X2,X1)
& v3_tops_1(X2,X1) )
=> ( v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1)
& v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2)
& v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ) ) ),
file('<stdin>',cc6_tops_1) ).
fof(c_0_3_004,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_tops_1(X2,X1)
=> v2_tops_1(X2,X1) ) ) ),
file('<stdin>',cc4_tops_1) ).
fof(c_0_4_005,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_xboole_0(X2)
=> ( v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ) ) ),
file('<stdin>',cc1_tops_1) ).
fof(c_0_5_006,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_xboole_0(X2)
=> v3_tops_1(X2,X1) ) ) ),
file('<stdin>',cc3_tops_1) ).
fof(c_0_6_007,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_7_008,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ),
file('<stdin>',rc3_tops_1) ).
fof(c_0_8_009,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& v4_pre_topc(X2,X1) ) ),
file('<stdin>',rc7_pre_topc) ).
fof(c_0_9_010,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X2,X1) ) ),
file('<stdin>',rc1_tops_1) ).
fof(c_0_10_011,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ),
file('<stdin>',rc2_tops_1) ).
fof(c_0_11_012,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1)
& v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2)
& v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ),
file('<stdin>',rc5_tops_1) ).
fof(c_0_12_013,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v4_pre_topc(X2,X1) ) ),
file('<stdin>',rc6_pre_topc) ).
fof(c_0_13_014,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc5_struct_0) ).
fof(c_0_14_015,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_15_016,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_16_017,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_17_018,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_18_019,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
file('<stdin>',rc1_membered) ).
fof(c_0_19_020,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_20_021,axiom,
? [X1] : l1_struct_0(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_21_022,axiom,
? [X1] : l1_pre_topc(X1),
file('<stdin>',existence_l1_pre_topc) ).
fof(c_0_22_023,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_23_024,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v4_pre_topc(X2,X1)
& v2_tops_1(X2,X1) )
=> ( v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ) ) ),
c_0_1 ).
fof(c_0_24_025,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v3_pre_topc(X2,X1)
& v3_tops_1(X2,X1) )
=> ( v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1)
& v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2)
& v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ) ) ),
c_0_2 ).
fof(c_0_25_026,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_tops_1(X2,X1)
=> v2_tops_1(X2,X1) ) ) ),
c_0_3 ).
fof(c_0_26_027,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_xboole_0(X2)
=> ( v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ) ) ),
c_0_4 ).
fof(c_0_27_028,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_xboole_0(X2)
=> v3_tops_1(X2,X1) ) ) ),
c_0_5 ).
fof(c_0_28_029,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
c_0_6 ).
fof(c_0_29_030,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_30_031,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& v4_pre_topc(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_31_032,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X2,X1) ) ),
c_0_9 ).
fof(c_0_32_033,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ),
c_0_10 ).
fof(c_0_33_034,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1)
& v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2)
& v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ),
c_0_11 ).
fof(c_0_34_035,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v4_pre_topc(X2,X1) ) ),
c_0_12 ).
fof(c_0_35_036,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_36_037,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
c_0_14 ).
fof(c_0_37_038,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
c_0_15 ).
fof(c_0_38_039,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
c_0_16 ).
fof(c_0_39_040,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
c_0_17 ).
fof(c_0_40_041,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_41_042,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_42_043,axiom,
? [X1] : l1_struct_0(X1),
c_0_20 ).
fof(c_0_43_044,axiom,
? [X1] : l1_pre_topc(X1),
c_0_21 ).
fof(c_0_44_045,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ v1_tsp_2(X5,X4)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ v4_pre_topc(X6,X4)
| X6 = k3_tex_4(X4,k5_subset_1(u1_struct_0(X4),X5,X6)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_45_046,plain,
! [X3,X4] :
( ( v2_tops_1(X4,X3)
| ~ v4_pre_topc(X4,X3)
| ~ v2_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_tops_1(X4,X3)
| ~ v4_pre_topc(X4,X3)
| ~ v2_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_46_047,plain,
! [X3,X4] :
( ( v1_xboole_0(X4)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_pre_topc(X4,X3)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v4_pre_topc(X4,X3)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v1_membered(X4)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v2_membered(X4)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_membered(X4)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v4_membered(X4)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v5_membered(X4)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v2_tops_1(X4,X3)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_tops_1(X4,X3)
| ~ v3_pre_topc(X4,X3)
| ~ v3_tops_1(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_47_048,plain,
! [X3,X4] :
( ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v3_tops_1(X4,X3)
| v2_tops_1(X4,X3) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_48_049,plain,
! [X3,X4] :
( ( v3_pre_topc(X4,X3)
| ~ v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v4_pre_topc(X4,X3)
| ~ v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_49_050,plain,
! [X3,X4] :
( ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v1_xboole_0(X4)
| v3_tops_1(X4,X3) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_50_051,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_51_052,plain,
! [X3] :
( ( m1_subset_1(esk10_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( ~ v1_xboole_0(esk10_1(X3))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_pre_topc(esk10_1(X3),X3)
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v4_pre_topc(esk10_1(X3),X3)
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
fof(c_0_52_053,plain,
! [X3] :
( ( m1_subset_1(esk4_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( ~ v1_xboole_0(esk4_1(X3))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v4_pre_topc(esk4_1(X3),X3)
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_53_054,plain,
! [X3] :
( ( m1_subset_1(esk12_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_pre_topc(esk12_1(X3),X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
fof(c_0_54_055,plain,
! [X3] :
( ( m1_subset_1(esk11_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_pre_topc(esk11_1(X3),X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v4_pre_topc(esk11_1(X3),X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
fof(c_0_55_056,plain,
! [X3] :
( ( m1_subset_1(esk9_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v1_xboole_0(esk9_1(X3))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_pre_topc(esk9_1(X3),X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v4_pre_topc(esk9_1(X3),X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v1_membered(esk9_1(X3))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v2_membered(esk9_1(X3))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_membered(esk9_1(X3))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v4_membered(esk9_1(X3))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v5_membered(esk9_1(X3))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v2_tops_1(esk9_1(X3),X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v3_tops_1(esk9_1(X3),X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_56_057,plain,
! [X3] :
( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( v4_pre_topc(esk1_1(X3),X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_57_058,plain,
! [X3] :
( ( m1_subset_1(esk5_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( ~ v1_xboole_0(esk5_1(X3))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
fof(c_0_58_059,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
fof(c_0_59_060,plain,
! [X3] :
( m1_subset_1(esk7_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk7_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
fof(c_0_60_061,plain,
! [X3] : m1_subset_1(esk2_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).
fof(c_0_61_062,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_62_063,plain,
( ~ v1_xboole_0(esk13_0)
& v1_membered(esk13_0)
& v2_membered(esk13_0)
& v3_membered(esk13_0)
& v4_membered(esk13_0)
& v5_membered(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).
fof(c_0_63_064,plain,
( l1_struct_0(esk6_0)
& ~ v3_struct_0(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).
fof(c_0_64_065,plain,
l1_struct_0(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
fof(c_0_65_066,plain,
l1_pre_topc(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_43])]) ).
cnf(c_0_66_067,plain,
( X1 = k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1))
| v3_struct_0(X2)
| ~ v4_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_67_068,plain,
( v2_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_68_069,plain,
( v3_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_69_070,plain,
( v3_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_70_071,plain,
( v4_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_71_072,plain,
( v2_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_72_073,plain,
( v3_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_73_074,plain,
( v1_xboole_0(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_74_075,plain,
( v1_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_75_076,plain,
( v2_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_76_077,plain,
( v3_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_77_078,plain,
( v4_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_78_079,plain,
( v5_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_79_080,plain,
( v2_tops_1(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_80_081,plain,
( v3_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_81_082,plain,
( v4_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_82_083,plain,
( v3_tops_1(X1,X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_83_084,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_84_085,plain,
( v3_struct_0(X1)
| m1_subset_1(esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_85_086,plain,
( v3_struct_0(X1)
| m1_subset_1(esk4_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_86_087,plain,
( m1_subset_1(esk12_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_87_088,plain,
( m1_subset_1(esk11_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_88_089,plain,
( m1_subset_1(esk9_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_89_090,plain,
( m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_90_091,plain,
( v3_struct_0(X1)
| m1_subset_1(esk5_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_91_092,plain,
( v3_struct_0(X1)
| v3_pre_topc(esk10_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_92_093,plain,
( v3_struct_0(X1)
| v4_pre_topc(esk10_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_93_094,plain,
( v3_struct_0(X1)
| v4_pre_topc(esk4_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_94_095,plain,
( v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_95_096,plain,
( v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_96_097,plain,
( v3_pre_topc(esk12_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_97_098,plain,
( v3_pre_topc(esk11_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_98_099,plain,
( v4_pre_topc(esk11_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_99_100,plain,
( v3_pre_topc(esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_100_101,plain,
( v4_pre_topc(esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_101_102,plain,
( v2_tops_1(esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_102_103,plain,
( v3_tops_1(esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_103_104,plain,
( v4_pre_topc(esk1_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_104_105,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_105_106,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_106_107,plain,
m1_subset_1(esk7_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_107_108,plain,
( v1_xboole_0(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_108_109,plain,
( v1_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_109_110,plain,
( v2_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_110_111,plain,
( v3_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_111_112,plain,
( v4_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_112_113,plain,
( v5_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_113_114,plain,
m1_subset_1(esk2_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_114_115,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_115_116,plain,
v1_xboole_0(esk7_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_116_117,plain,
~ v1_xboole_0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_117_118,plain,
~ v3_struct_0(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_118_119,plain,
v1_membered(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_119_120,plain,
v2_membered(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_120_121,plain,
v3_membered(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_121_122,plain,
v4_membered(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_122_123,plain,
v5_membered(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_123_124,plain,
l1_struct_0(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_124_125,plain,
l1_struct_0(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_125_126,plain,
l1_pre_topc(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_126_127,plain,
( k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1)) = X1
| v3_struct_0(X2)
| ~ v4_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
c_0_66,
[final] ).
cnf(c_0_127_128,plain,
( v2_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
c_0_67,
[final] ).
cnf(c_0_128_129,plain,
( v3_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
c_0_68,
[final] ).
cnf(c_0_129_130,plain,
( v3_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_69,
[final] ).
cnf(c_0_130_131,plain,
( v4_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_70,
[final] ).
cnf(c_0_131_132,plain,
( v2_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_71,
[final] ).
cnf(c_0_132_133,plain,
( v3_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_72,
[final] ).
cnf(c_0_133_134,plain,
( v1_xboole_0(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_73,
[final] ).
cnf(c_0_134_135,plain,
( v1_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_74,
[final] ).
cnf(c_0_135_136,plain,
( v2_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_75,
[final] ).
cnf(c_0_136_137,plain,
( v3_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_76,
[final] ).
cnf(c_0_137_138,plain,
( v4_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_77,
[final] ).
cnf(c_0_138_139,plain,
( v5_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
c_0_78,
[final] ).
cnf(c_0_139_140,plain,
( v2_tops_1(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
c_0_79,
[final] ).
cnf(c_0_140_141,plain,
( v3_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
c_0_80,
[final] ).
cnf(c_0_141_142,plain,
( v4_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
c_0_81,
[final] ).
cnf(c_0_142_143,plain,
( v3_tops_1(X1,X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
c_0_82,
[final] ).
cnf(c_0_143_144,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
c_0_83,
[final] ).
cnf(c_0_144_145,plain,
( v3_struct_0(X1)
| m1_subset_1(esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_84,
[final] ).
cnf(c_0_145_146,plain,
( v3_struct_0(X1)
| m1_subset_1(esk4_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_85,
[final] ).
cnf(c_0_146_147,plain,
( m1_subset_1(esk12_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_86,
[final] ).
cnf(c_0_147_148,plain,
( m1_subset_1(esk11_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_87,
[final] ).
cnf(c_0_148_149,plain,
( m1_subset_1(esk9_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_88,
[final] ).
cnf(c_0_149_150,plain,
( m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_89,
[final] ).
cnf(c_0_150_151,plain,
( v3_struct_0(X1)
| m1_subset_1(esk5_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_90,
[final] ).
cnf(c_0_151_152,plain,
( v3_struct_0(X1)
| v3_pre_topc(esk10_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_91,
[final] ).
cnf(c_0_152_153,plain,
( v3_struct_0(X1)
| v4_pre_topc(esk10_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_92,
[final] ).
cnf(c_0_153_154,plain,
( v3_struct_0(X1)
| v4_pre_topc(esk4_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_93,
[final] ).
cnf(c_0_154_155,plain,
( v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(esk10_1(X1)) ),
c_0_94,
[final] ).
cnf(c_0_155_156,plain,
( v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(esk4_1(X1)) ),
c_0_95,
[final] ).
cnf(c_0_156_157,plain,
( v3_pre_topc(esk12_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_96,
[final] ).
cnf(c_0_157_158,plain,
( v3_pre_topc(esk11_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_97,
[final] ).
cnf(c_0_158_159,plain,
( v4_pre_topc(esk11_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_98,
[final] ).
cnf(c_0_159_160,plain,
( v3_pre_topc(esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_99,
[final] ).
cnf(c_0_160_161,plain,
( v4_pre_topc(esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_100,
[final] ).
cnf(c_0_161_162,plain,
( v2_tops_1(esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_101,
[final] ).
cnf(c_0_162_163,plain,
( v3_tops_1(esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_102,
[final] ).
cnf(c_0_163_164,plain,
( v4_pre_topc(esk1_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_103,
[final] ).
cnf(c_0_164_165,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
c_0_104,
[final] ).
cnf(c_0_165_166,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk5_1(X1)) ),
c_0_105,
[final] ).
cnf(c_0_166_167,plain,
m1_subset_1(esk7_1(X1),k1_zfmisc_1(X1)),
c_0_106,
[final] ).
cnf(c_0_167_168,plain,
( v1_xboole_0(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_107,
[final] ).
cnf(c_0_168_169,plain,
( v1_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_108,
[final] ).
cnf(c_0_169_170,plain,
( v2_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_109,
[final] ).
cnf(c_0_170_171,plain,
( v3_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_110,
[final] ).
cnf(c_0_171_172,plain,
( v4_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_111,
[final] ).
cnf(c_0_172_173,plain,
( v5_membered(esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
c_0_112,
[final] ).
cnf(c_0_173_174,plain,
m1_subset_1(esk2_1(X1),X1),
c_0_113,
[final] ).
cnf(c_0_174_175,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
c_0_114,
[final] ).
cnf(c_0_175_176,plain,
v1_xboole_0(esk7_1(X1)),
c_0_115,
[final] ).
cnf(c_0_176_177,plain,
~ v1_xboole_0(esk13_0),
c_0_116,
[final] ).
cnf(c_0_177_178,plain,
~ v3_struct_0(esk6_0),
c_0_117,
[final] ).
cnf(c_0_178_179,plain,
v1_membered(esk13_0),
c_0_118,
[final] ).
cnf(c_0_179_180,plain,
v2_membered(esk13_0),
c_0_119,
[final] ).
cnf(c_0_180_181,plain,
v3_membered(esk13_0),
c_0_120,
[final] ).
cnf(c_0_181_182,plain,
v4_membered(esk13_0),
c_0_121,
[final] ).
cnf(c_0_182_183,plain,
v5_membered(esk13_0),
c_0_122,
[final] ).
cnf(c_0_183_184,plain,
l1_struct_0(esk8_0),
c_0_123,
[final] ).
cnf(c_0_184_185,plain,
l1_struct_0(esk6_0),
c_0_124,
[final] ).
cnf(c_0_185_186,plain,
l1_pre_topc(esk3_0),
c_0_125,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_126_0,axiom,
( k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1)) = X1
| v3_struct_0(X2)
| ~ v4_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( v3_struct_0(X2)
| k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1)) = X1
| ~ v4_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_2,axiom,
( ~ v4_pre_topc(X1,X2)
| v3_struct_0(X2)
| k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_3,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v4_pre_topc(X1,X2)
| v3_struct_0(X2)
| k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1)) = X1
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_4,axiom,
( ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v4_pre_topc(X1,X2)
| v3_struct_0(X2)
| k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1)) = X1
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_5,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v4_pre_topc(X1,X2)
| v3_struct_0(X2)
| k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1)) = X1
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_6,axiom,
( ~ l1_pre_topc(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v4_pre_topc(X1,X2)
| v3_struct_0(X2)
| k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1)) = X1
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_7,axiom,
( ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v4_pre_topc(X1,X2)
| v3_struct_0(X2)
| k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( v2_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1)
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_4,axiom,
( ~ v2_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_5,axiom,
( ~ v4_pre_topc(X2,X1)
| ~ v2_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
( v3_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_1,axiom,
( ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1)
| ~ v2_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_4,axiom,
( ~ v2_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_5,axiom,
( ~ v4_pre_topc(X2,X1)
| ~ v2_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
( v3_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_1,axiom,
( ~ l1_pre_topc(X1)
| v3_pre_topc(X2,X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
( v4_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_1,axiom,
( ~ l1_pre_topc(X1)
| v4_pre_topc(X2,X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_0,axiom,
( v2_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_1,axiom,
( ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_tops_1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_0,axiom,
( v3_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_1,axiom,
( ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_tops_1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_0,axiom,
( v1_xboole_0(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_1,axiom,
( ~ l1_pre_topc(X1)
| v1_xboole_0(X2)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_xboole_0(X2)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_xboole_0(X2)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_0,axiom,
( v1_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_1,axiom,
( ~ l1_pre_topc(X1)
| v1_membered(X2)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_membered(X2)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_membered(X2)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_0,axiom,
( v2_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_1,axiom,
( ~ l1_pre_topc(X1)
| v2_membered(X2)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_membered(X2)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_membered(X2)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_0,axiom,
( v3_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_1,axiom,
( ~ l1_pre_topc(X1)
| v3_membered(X2)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_membered(X2)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_membered(X2)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_0,axiom,
( v4_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_1,axiom,
( ~ l1_pre_topc(X1)
| v4_membered(X2)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_membered(X2)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_membered(X2)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_0,axiom,
( v5_membered(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_1,axiom,
( ~ l1_pre_topc(X1)
| v5_membered(X2)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v5_membered(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v5_membered(X2)
| ~ v3_tops_1(X2,X1)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_4,axiom,
( ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v5_membered(X2)
| ~ v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_5,axiom,
( ~ v3_pre_topc(X2,X1)
| ~ v3_tops_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v5_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_0,axiom,
( v2_tops_1(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_1,axiom,
( ~ v3_tops_1(X1,X2)
| v2_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_2,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_tops_1(X1,X2)
| v2_tops_1(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_3,axiom,
( ~ l1_pre_topc(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_tops_1(X1,X2)
| v2_tops_1(X1,X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_4,axiom,
( ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_tops_1(X1,X2)
| v2_tops_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_0,axiom,
( v3_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_1,axiom,
( ~ l1_pre_topc(X1)
| v3_pre_topc(X2,X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_4,axiom,
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
( v4_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_1,axiom,
( ~ l1_pre_topc(X1)
| v4_pre_topc(X2,X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_4,axiom,
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
( v3_tops_1(X1,X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_1,axiom,
( ~ v1_xboole_0(X1)
| v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_2,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_xboole_0(X1)
| v3_tops_1(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_3,axiom,
( ~ l1_pre_topc(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_xboole_0(X1)
| v3_tops_1(X1,X2)
| ~ v2_pre_topc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_4,axiom,
( ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_xboole_0(X1)
| v3_tops_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_1,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_2,axiom,
( ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_1,axiom,
( m1_subset_1(sk2_esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_2,axiom,
( ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_3,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk4_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_1,axiom,
( m1_subset_1(sk2_esk4_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_2,axiom,
( ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk4_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_3,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk4_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_0,axiom,
( m1_subset_1(sk2_esk12_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_1,axiom,
( ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk12_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk12_1(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
( m1_subset_1(sk2_esk11_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_1,axiom,
( ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk11_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk11_1(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_0,axiom,
( m1_subset_1(sk2_esk9_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_1,axiom,
( ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk9_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk9_1(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_0,axiom,
( m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_1,axiom,
( ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk5_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_1,axiom,
( m1_subset_1(sk2_esk5_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_2,axiom,
( ~ l1_struct_0(X1)
| m1_subset_1(sk2_esk5_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_151_0,axiom,
( v3_struct_0(X1)
| v3_pre_topc(sk2_esk10_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_1,axiom,
( v3_pre_topc(sk2_esk10_1(X1),X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_2,axiom,
( ~ l1_pre_topc(X1)
| v3_pre_topc(sk2_esk10_1(X1),X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_3,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(sk2_esk10_1(X1),X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_0,axiom,
( v3_struct_0(X1)
| v4_pre_topc(sk2_esk10_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_1,axiom,
( v4_pre_topc(sk2_esk10_1(X1),X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_2,axiom,
( ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk10_1(X1),X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_3,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk10_1(X1),X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_153_0,axiom,
( v3_struct_0(X1)
| v4_pre_topc(sk2_esk4_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_1,axiom,
( v4_pre_topc(sk2_esk4_1(X1),X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_2,axiom,
( ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk4_1(X1),X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_3,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk4_1(X1),X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_154_0,axiom,
( v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(sk2_esk10_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_1,axiom,
( ~ l1_pre_topc(X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(sk2_esk10_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk10_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_3,axiom,
( ~ v1_xboole_0(sk2_esk10_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_155_0,axiom,
( v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(sk2_esk4_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_1,axiom,
( ~ l1_pre_topc(X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(sk2_esk4_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk4_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_3,axiom,
( ~ v1_xboole_0(sk2_esk4_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_156_0,axiom,
( v3_pre_topc(sk2_esk12_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_1,axiom,
( ~ l1_pre_topc(X1)
| v3_pre_topc(sk2_esk12_1(X1),X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(sk2_esk12_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_157_0,axiom,
( v3_pre_topc(sk2_esk11_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_1,axiom,
( ~ l1_pre_topc(X1)
| v3_pre_topc(sk2_esk11_1(X1),X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(sk2_esk11_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_158_0,axiom,
( v4_pre_topc(sk2_esk11_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_1,axiom,
( ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk11_1(X1),X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk11_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_159_0,axiom,
( v3_pre_topc(sk2_esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_1,axiom,
( ~ l1_pre_topc(X1)
| v3_pre_topc(sk2_esk9_1(X1),X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_pre_topc(sk2_esk9_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_0,axiom,
( v4_pre_topc(sk2_esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_1,axiom,
( ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk9_1(X1),X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk9_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
( v2_tops_1(sk2_esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_1,axiom,
( ~ l1_pre_topc(X1)
| v2_tops_1(sk2_esk9_1(X1),X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_tops_1(sk2_esk9_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_0,axiom,
( v3_tops_1(sk2_esk9_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_1,axiom,
( ~ l1_pre_topc(X1)
| v3_tops_1(sk2_esk9_1(X1),X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_tops_1(sk2_esk9_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
( v4_pre_topc(sk2_esk1_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_1,axiom,
( ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk1_1(X1),X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_pre_topc(sk2_esk1_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_1,axiom,
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_0,axiom,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(sk2_esk5_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_1,axiom,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk5_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_2,axiom,
( ~ v1_xboole_0(sk2_esk5_1(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_167_0,axiom,
( v1_xboole_0(sk2_esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_1,axiom,
( ~ l1_pre_topc(X1)
| v1_xboole_0(sk2_esk9_1(X1))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_xboole_0(sk2_esk9_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_168_0,axiom,
( v1_membered(sk2_esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_1,axiom,
( ~ l1_pre_topc(X1)
| v1_membered(sk2_esk9_1(X1))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v1_membered(sk2_esk9_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_169_0,axiom,
( v2_membered(sk2_esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_1,axiom,
( ~ l1_pre_topc(X1)
| v2_membered(sk2_esk9_1(X1))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v2_membered(sk2_esk9_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_0,axiom,
( v3_membered(sk2_esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_1,axiom,
( ~ l1_pre_topc(X1)
| v3_membered(sk2_esk9_1(X1))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_membered(sk2_esk9_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_171_0,axiom,
( v4_membered(sk2_esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_1,axiom,
( ~ l1_pre_topc(X1)
| v4_membered(sk2_esk9_1(X1))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v4_membered(sk2_esk9_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_172_0,axiom,
( v5_membered(sk2_esk9_1(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_1,axiom,
( ~ l1_pre_topc(X1)
| v5_membered(sk2_esk9_1(X1))
| ~ v2_pre_topc(X1) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_2,axiom,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v5_membered(sk2_esk9_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_174_0,axiom,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( ~ v1_xboole_0(X1)
| X2 = X1
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_2,axiom,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_176_0,axiom,
~ v1_xboole_0(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_177_0,axiom,
~ v3_struct_0(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_166_0,axiom,
m1_subset_1(sk2_esk7_1(X1),k1_zfmisc_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_173_0,axiom,
m1_subset_1(sk2_esk2_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_175_0,axiom,
v1_xboole_0(sk2_esk7_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_178_0,axiom,
v1_membered(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_179_0,axiom,
v2_membered(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_180_0,axiom,
v3_membered(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_181_0,axiom,
v4_membered(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_182_0,axiom,
v5_membered(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_183_0,axiom,
l1_struct_0(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_184_0,axiom,
l1_struct_0(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_185_0,axiom,
l1_pre_topc(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_187,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
file('<stdin>',t7_tsp_2) ).
fof(c_0_1_188,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_189,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v1_tsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_190,negated_conjecture,
k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_191,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_192,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_193,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_194,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_195,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_196,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10_197,negated_conjecture,
k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))) != k6_pre_topc(esk1_0,esk3_0),
c_0_3,
[final] ).
cnf(c_0_11_198,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
c_0_4,
[final] ).
cnf(c_0_12_199,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
c_0_5,
[final] ).
cnf(c_0_13_200,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
c_0_6,
[final] ).
cnf(c_0_14_201,negated_conjecture,
~ v3_struct_0(esk1_0),
c_0_7,
[final] ).
cnf(c_0_15_202,negated_conjecture,
v2_pre_topc(esk1_0),
c_0_8,
[final] ).
cnf(c_0_16_203,negated_conjecture,
l1_pre_topc(esk1_0),
c_0_9,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_0,plain,
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| v3_struct_0(X0)
| k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_126_0) ).
cnf(c_502,plain,
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| v3_struct_0(X0)
| k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2 ),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_109840,plain,
( v3_struct_0(sk3_esk1_0)
| ~ v4_pre_topc(X0,sk3_esk1_0)
| ~ m1_subset_1(sk3_esk2_0,k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ v1_tsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ l1_pre_topc(sk3_esk1_0)
| ~ v2_pre_topc(sk3_esk1_0)
| k3_tex_4(sk3_esk1_0,k5_subset_1(u1_struct_0(sk3_esk1_0),sk3_esk2_0,X0)) = X0 ),
inference(instantiation,[status(thm)],[c_502]) ).
cnf(c_115027,plain,
( v3_struct_0(sk3_esk1_0)
| ~ v4_pre_topc(k6_pre_topc(sk3_esk1_0,sk3_esk3_0),sk3_esk1_0)
| ~ m1_subset_1(k6_pre_topc(sk3_esk1_0,sk3_esk3_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ m1_subset_1(sk3_esk2_0,k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ v1_tsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ l1_pre_topc(sk3_esk1_0)
| ~ v2_pre_topc(sk3_esk1_0)
| k3_tex_4(sk3_esk1_0,k5_subset_1(u1_struct_0(sk3_esk1_0),sk3_esk2_0,k6_pre_topc(sk3_esk1_0,sk3_esk3_0))) = k6_pre_topc(sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_109840]) ).
cnf(c_318,plain,
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_299_0) ).
cnf(c_820,plain,
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
inference(copy,[status(esa)],[c_318]) ).
cnf(c_15658,plain,
( v4_pre_topc(k6_pre_topc(sk3_esk1_0,sk3_esk3_0),sk3_esk1_0)
| ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ l1_pre_topc(sk3_esk1_0)
| ~ v2_pre_topc(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_820]) ).
cnf(c_314,plain,
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_303_0) ).
cnf(c_816,plain,
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(copy,[status(esa)],[c_314]) ).
cnf(c_15570,plain,
( m1_subset_1(k6_pre_topc(sk3_esk1_0,sk3_esk3_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ l1_pre_topc(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_816]) ).
cnf(c_322,negated_conjecture,
k3_tex_4(sk3_esk1_0,k5_subset_1(u1_struct_0(sk3_esk1_0),sk3_esk2_0,k6_pre_topc(sk3_esk1_0,sk3_esk3_0))) != k6_pre_topc(sk3_esk1_0,sk3_esk3_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_10) ).
cnf(c_323,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_14) ).
cnf(c_324,negated_conjecture,
m1_subset_1(sk3_esk2_0,k1_zfmisc_1(u1_struct_0(sk3_esk1_0))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_11) ).
cnf(c_325,negated_conjecture,
m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk1_0))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_12) ).
cnf(c_326,negated_conjecture,
v1_tsp_2(sk3_esk2_0,sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_13) ).
cnf(c_327,negated_conjecture,
v2_pre_topc(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_15) ).
cnf(c_328,negated_conjecture,
l1_pre_topc(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p',c_0_16) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_115027,c_15658,c_15570,c_322,c_323,c_324,c_325,c_326,c_327,c_328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : TOP026+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14 % Command : iprover_modulo %s %d
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun May 29 09:10:53 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % Running in mono-core mode
% 0.22/0.44 % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.44 % FOF problem with conjecture
% 0.22/0.44 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_267c2c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_78c0ce.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_237626 | grep -v "SZS"
% 0.22/0.46
% 0.22/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.46
% 0.22/0.46 %
% 0.22/0.46 % ------ iProver source info
% 0.22/0.46
% 0.22/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.46 % git: non_committed_changes: true
% 0.22/0.46 % git: last_make_outside_of_git: true
% 0.22/0.46
% 0.22/0.46 %
% 0.22/0.46 % ------ Input Options
% 0.22/0.46
% 0.22/0.46 % --out_options all
% 0.22/0.46 % --tptp_safe_out true
% 0.22/0.46 % --problem_path ""
% 0.22/0.46 % --include_path ""
% 0.22/0.46 % --clausifier .//eprover
% 0.22/0.46 % --clausifier_options --tstp-format
% 0.22/0.46 % --stdin false
% 0.22/0.46 % --dbg_backtrace false
% 0.22/0.46 % --dbg_dump_prop_clauses false
% 0.22/0.46 % --dbg_dump_prop_clauses_file -
% 0.22/0.46 % --dbg_out_stat false
% 0.22/0.46
% 0.22/0.46 % ------ General Options
% 0.22/0.46
% 0.22/0.46 % --fof false
% 0.22/0.46 % --time_out_real 150.
% 0.22/0.46 % --time_out_prep_mult 0.2
% 0.22/0.46 % --time_out_virtual -1.
% 0.22/0.46 % --schedule none
% 0.22/0.46 % --ground_splitting input
% 0.22/0.46 % --splitting_nvd 16
% 0.22/0.46 % --non_eq_to_eq false
% 0.22/0.46 % --prep_gs_sim true
% 0.22/0.46 % --prep_unflatten false
% 0.22/0.46 % --prep_res_sim true
% 0.22/0.46 % --prep_upred true
% 0.22/0.46 % --res_sim_input true
% 0.22/0.46 % --clause_weak_htbl true
% 0.22/0.46 % --gc_record_bc_elim false
% 0.22/0.46 % --symbol_type_check false
% 0.22/0.46 % --clausify_out false
% 0.22/0.46 % --large_theory_mode false
% 0.22/0.46 % --prep_sem_filter none
% 0.22/0.46 % --prep_sem_filter_out false
% 0.22/0.46 % --preprocessed_out false
% 0.22/0.46 % --sub_typing false
% 0.22/0.46 % --brand_transform false
% 0.22/0.46 % --pure_diseq_elim true
% 0.22/0.46 % --min_unsat_core false
% 0.22/0.46 % --pred_elim true
% 0.22/0.46 % --add_important_lit false
% 0.22/0.46 % --soft_assumptions false
% 0.22/0.46 % --reset_solvers false
% 0.22/0.46 % --bc_imp_inh []
% 0.22/0.46 % --conj_cone_tolerance 1.5
% 0.22/0.46 % --prolific_symb_bound 500
% 0.22/0.46 % --lt_threshold 2000
% 0.22/0.46
% 0.22/0.46 % ------ SAT Options
% 0.22/0.46
% 0.22/0.46 % --sat_mode false
% 0.22/0.46 % --sat_fm_restart_options ""
% 0.22/0.46 % --sat_gr_def false
% 0.22/0.46 % --sat_epr_types true
% 0.22/0.46 % --sat_non_cyclic_types false
% 0.22/0.46 % --sat_finite_models false
% 0.22/0.46 % --sat_fm_lemmas false
% 0.22/0.46 % --sat_fm_prep false
% 0.22/0.46 % --sat_fm_uc_incr true
% 0.22/0.46 % --sat_out_model small
% 0.22/0.46 % --sat_out_clauses false
% 0.22/0.46
% 0.22/0.46 % ------ QBF Options
% 0.22/0.46
% 0.22/0.46 % --qbf_mode false
% 0.22/0.46 % --qbf_elim_univ true
% 0.22/0.46 % --qbf_sk_in true
% 0.22/0.46 % --qbf_pred_elim true
% 0.22/0.46 % --qbf_split 32
% 0.22/0.46
% 0.22/0.46 % ------ BMC1 Options
% 0.22/0.46
% 0.22/0.46 % --bmc1_incremental false
% 0.22/0.46 % --bmc1_axioms reachable_all
% 0.22/0.46 % --bmc1_min_bound 0
% 0.22/0.46 % --bmc1_max_bound -1
% 0.22/0.46 % --bmc1_max_bound_default -1
% 0.22/0.46 % --bmc1_symbol_reachability true
% 0.22/0.46 % --bmc1_property_lemmas false
% 0.22/0.46 % --bmc1_k_induction false
% 0.22/0.46 % --bmc1_non_equiv_states false
% 0.22/0.46 % --bmc1_deadlock false
% 0.22/0.46 % --bmc1_ucm false
% 0.22/0.46 % --bmc1_add_unsat_core none
% 0.22/0.46 % --bmc1_unsat_core_children false
% 0.22/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.46 % --bmc1_out_stat full
% 0.22/0.46 % --bmc1_ground_init false
% 0.22/0.46 % --bmc1_pre_inst_next_state false
% 0.22/0.46 % --bmc1_pre_inst_state false
% 0.22/0.46 % --bmc1_pre_inst_reach_state false
% 0.22/0.46 % --bmc1_out_unsat_core false
% 0.22/0.46 % --bmc1_aig_witness_out false
% 0.22/0.46 % --bmc1_verbose false
% 0.22/0.46 % --bmc1_dump_clauses_tptp false
% 0.38/0.60 % --bmc1_dump_unsat_core_tptp false
% 0.38/0.60 % --bmc1_dump_file -
% 0.38/0.60 % --bmc1_ucm_expand_uc_limit 128
% 0.38/0.60 % --bmc1_ucm_n_expand_iterations 6
% 0.38/0.60 % --bmc1_ucm_extend_mode 1
% 0.38/0.60 % --bmc1_ucm_init_mode 2
% 0.38/0.60 % --bmc1_ucm_cone_mode none
% 0.38/0.60 % --bmc1_ucm_reduced_relation_type 0
% 0.38/0.60 % --bmc1_ucm_relax_model 4
% 0.38/0.60 % --bmc1_ucm_full_tr_after_sat true
% 0.38/0.60 % --bmc1_ucm_expand_neg_assumptions false
% 0.38/0.60 % --bmc1_ucm_layered_model none
% 0.38/0.60 % --bmc1_ucm_max_lemma_size 10
% 0.38/0.60
% 0.38/0.60 % ------ AIG Options
% 0.38/0.60
% 0.38/0.60 % --aig_mode false
% 0.38/0.60
% 0.38/0.60 % ------ Instantiation Options
% 0.38/0.60
% 0.38/0.60 % --instantiation_flag true
% 0.38/0.60 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.38/0.60 % --inst_solver_per_active 750
% 0.38/0.60 % --inst_solver_calls_frac 0.5
% 0.38/0.60 % --inst_passive_queue_type priority_queues
% 0.38/0.60 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.38/0.60 % --inst_passive_queues_freq [25;2]
% 0.38/0.60 % --inst_dismatching true
% 0.38/0.60 % --inst_eager_unprocessed_to_passive true
% 0.38/0.60 % --inst_prop_sim_given true
% 0.38/0.60 % --inst_prop_sim_new false
% 0.38/0.60 % --inst_orphan_elimination true
% 0.38/0.60 % --inst_learning_loop_flag true
% 0.38/0.60 % --inst_learning_start 3000
% 0.38/0.60 % --inst_learning_factor 2
% 0.38/0.60 % --inst_start_prop_sim_after_learn 3
% 0.38/0.60 % --inst_sel_renew solver
% 0.38/0.60 % --inst_lit_activity_flag true
% 0.38/0.60 % --inst_out_proof true
% 0.38/0.60
% 0.38/0.60 % ------ Resolution Options
% 0.38/0.60
% 0.38/0.60 % --resolution_flag true
% 0.38/0.60 % --res_lit_sel kbo_max
% 0.38/0.60 % --res_to_prop_solver none
% 0.38/0.60 % --res_prop_simpl_new false
% 0.38/0.60 % --res_prop_simpl_given false
% 0.38/0.60 % --res_passive_queue_type priority_queues
% 0.38/0.60 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.38/0.60 % --res_passive_queues_freq [15;5]
% 0.38/0.60 % --res_forward_subs full
% 0.38/0.60 % --res_backward_subs full
% 0.38/0.60 % --res_forward_subs_resolution true
% 0.38/0.60 % --res_backward_subs_resolution true
% 0.38/0.60 % --res_orphan_elimination false
% 0.38/0.60 % --res_time_limit 1000.
% 0.38/0.60 % --res_out_proof true
% 0.38/0.60 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_267c2c.s
% 0.38/0.60 % --modulo true
% 0.38/0.60
% 0.38/0.60 % ------ Combination Options
% 0.38/0.60
% 0.38/0.60 % --comb_res_mult 1000
% 0.38/0.60 % --comb_inst_mult 300
% 0.38/0.60 % ------
% 0.38/0.60
% 0.38/0.60 % ------ Parsing...% successful
% 0.38/0.60
% 0.38/0.60 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.38/0.60
% 0.38/0.60 % ------ Proving...
% 0.38/0.60 % ------ Problem Properties
% 0.38/0.60
% 0.38/0.60 %
% 0.38/0.60 % EPR false
% 0.38/0.60 % Horn false
% 0.38/0.60 % Has equality true
% 0.38/0.60
% 0.38/0.60 % % ------ Input Options Time Limit: Unbounded
% 0.38/0.60
% 0.38/0.60
% 0.38/0.60 Compiling...
% 0.38/0.60 Loading plugin: done.
% 0.38/0.60 % % ------ Current options:
% 0.38/0.60
% 0.38/0.60 % ------ Input Options
% 0.38/0.60
% 0.38/0.60 % --out_options all
% 0.38/0.60 % --tptp_safe_out true
% 0.38/0.60 % --problem_path ""
% 0.38/0.60 % --include_path ""
% 0.38/0.60 % --clausifier .//eprover
% 0.38/0.60 % --clausifier_options --tstp-format
% 0.38/0.60 % --stdin false
% 0.38/0.60 % --dbg_backtrace false
% 0.38/0.60 % --dbg_dump_prop_clauses false
% 0.38/0.60 % --dbg_dump_prop_clauses_file -
% 0.38/0.60 % --dbg_out_stat false
% 0.38/0.60
% 0.38/0.60 % ------ General Options
% 0.38/0.60
% 0.38/0.60 % --fof false
% 0.38/0.60 % --time_out_real 150.
% 0.38/0.60 % --time_out_prep_mult 0.2
% 0.38/0.60 % --time_out_virtual -1.
% 0.38/0.60 % --schedule none
% 0.38/0.60 % --ground_splitting input
% 0.38/0.60 % --splitting_nvd 16
% 0.38/0.60 % --non_eq_to_eq false
% 0.38/0.60 % --prep_gs_sim true
% 0.38/0.60 % --prep_unflatten false
% 0.38/0.60 % --prep_res_sim true
% 0.38/0.60 % --prep_upred true
% 0.38/0.60 % --res_sim_input true
% 0.38/0.60 % --clause_weak_htbl true
% 0.38/0.60 % --gc_record_bc_elim false
% 0.38/0.60 % --symbol_type_check false
% 0.38/0.60 % --clausify_out false
% 0.38/0.60 % --large_theory_mode false
% 0.38/0.60 % --prep_sem_filter none
% 0.38/0.60 % --prep_sem_filter_out false
% 0.38/0.60 % --preprocessed_out false
% 0.38/0.60 % --sub_typing false
% 0.38/0.60 % --brand_transform false
% 0.38/0.60 % --pure_diseq_elim true
% 0.38/0.60 % --min_unsat_core false
% 0.38/0.60 % --pred_elim true
% 0.38/0.60 % --add_important_lit false
% 0.38/0.60 % --soft_assumptions false
% 0.38/0.60 % --reset_solvers false
% 0.38/0.60 % --bc_imp_inh []
% 0.38/0.60 % --conj_cone_tolerance 1.5
% 0.38/0.60 % --prolific_symb_bound 500
% 0.38/0.60 % --lt_threshold 2000
% 0.38/0.60
% 0.38/0.60 % ------ SAT Options
% 0.38/0.60
% 0.38/0.60 % --sat_mode false
% 0.38/0.60 % --sat_fm_restart_options ""
% 0.38/0.60 % --sat_gr_def false
% 0.38/0.60 % --sat_epr_types true
% 0.38/0.60 % --sat_non_cyclic_types false
% 0.38/0.60 % --sat_finite_models false
% 0.38/0.60 % --sat_fm_lemmas false
% 0.38/0.60 % --sat_fm_prep false
% 0.38/0.60 % --sat_fm_uc_incr true
% 0.38/0.60 % --sat_out_model small
% 0.38/0.60 % --sat_out_clauses false
% 0.38/0.60
% 0.38/0.60 % ------ QBF Options
% 0.38/0.60
% 0.38/0.60 % --qbf_mode false
% 0.38/0.60 % --qbf_elim_univ true
% 0.38/0.60 % --qbf_sk_in true
% 0.38/0.60 % --qbf_pred_elim true
% 0.38/0.60 % --qbf_split 32
% 0.38/0.60
% 0.38/0.60 % ------ BMC1 Options
% 0.38/0.60
% 0.38/0.60 % --bmc1_incremental false
% 0.38/0.60 % --bmc1_axioms reachable_all
% 0.38/0.60 % --bmc1_min_bound 0
% 0.38/0.60 % --bmc1_max_bound -1
% 0.38/0.60 % --bmc1_max_bound_default -1
% 0.38/0.60 % --bmc1_symbol_reachability true
% 0.38/0.60 % --bmc1_property_lemmas false
% 0.38/0.60 % --bmc1_k_induction false
% 0.38/0.60 % --bmc1_non_equiv_states false
% 0.38/0.60 % --bmc1_deadlock false
% 0.38/0.60 % --bmc1_ucm false
% 0.38/0.60 % --bmc1_add_unsat_core none
% 0.38/0.60 % --bmc1_unsat_core_children false
% 0.38/0.60 % --bmc1_unsat_core_extrapolate_axioms false
% 0.38/0.60 % --bmc1_out_stat full
% 0.38/0.60 % --bmc1_ground_init false
% 0.38/0.60 % --bmc1_pre_inst_next_state false
% 0.38/0.60 % --bmc1_pre_inst_state false
% 0.38/0.60 % --bmc1_pre_inst_reach_state false
% 0.38/0.60 % --bmc1_out_unsat_core false
% 0.38/0.60 % --bmc1_aig_witness_out false
% 0.38/0.60 % --bmc1_verbose false
% 0.38/0.60 % --bmc1_dump_clauses_tptp false
% 0.38/0.60 % --bmc1_dump_unsat_core_tptp false
% 0.38/0.60 % --bmc1_dump_file -
% 0.38/0.60 % --bmc1_ucm_expand_uc_limit 128
% 0.38/0.60 % --bmc1_ucm_n_expand_iterations 6
% 0.38/0.60 % --bmc1_ucm_extend_mode 1
% 0.38/0.60 % --bmc1_ucm_init_mode 2
% 0.38/0.60 % --bmc1_ucm_cone_mode none
% 0.38/0.60 % --bmc1_ucm_reduced_relation_type 0
% 0.38/0.60 % --bmc1_ucm_relax_model 4
% 0.38/0.60 % --bmc1_ucm_full_tr_after_sat true
% 0.38/0.60 % --bmc1_ucm_expand_neg_assumptions false
% 0.38/0.60 % --bmc1_ucm_layered_model none
% 0.38/0.60 % --bmc1_ucm_max_lemma_size 10
% 0.38/0.60
% 0.38/0.60 % ------ AIG Options
% 0.38/0.60
% 0.38/0.60 % --aig_mode false
% 0.38/0.60
% 0.38/0.60 % ------ Instantiation Options
% 0.38/0.60
% 0.38/0.60 % --instantiation_flag true
% 0.38/0.60 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.38/0.60 % --inst_solver_per_active 750
% 0.38/0.60 % --inst_solver_calls_frac 0.5
% 0.38/0.60 % --inst_passive_queue_type priority_queues
% 0.38/0.60 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.38/0.60 % --inst_passive_queues_freq [25;2]
% 0.38/0.60 % --inst_dismatching true
% 0.38/0.60 % --inst_eager_unprocessed_to_passive true
% 2.42/2.66 % --inst_prop_sim_given true
% 2.42/2.66 % --inst_prop_sim_new false
% 2.42/2.66 % --inst_orphan_elimination true
% 2.42/2.66 % --inst_learning_loop_flag true
% 2.42/2.66 % --inst_learning_start 3000
% 2.42/2.66 % --inst_learning_factor 2
% 2.42/2.66 % --inst_start_prop_sim_after_learn 3
% 2.42/2.66 % --inst_sel_renew solver
% 2.42/2.66 % --inst_lit_activity_flag true
% 2.42/2.66 % --inst_out_proof true
% 2.42/2.66
% 2.42/2.66 % ------ Resolution Options
% 2.42/2.66
% 2.42/2.66 % --resolution_flag true
% 2.42/2.66 % --res_lit_sel kbo_max
% 2.42/2.66 % --res_to_prop_solver none
% 2.42/2.66 % --res_prop_simpl_new false
% 2.42/2.66 % --res_prop_simpl_given false
% 2.42/2.66 % --res_passive_queue_type priority_queues
% 2.42/2.66 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.42/2.66 % --res_passive_queues_freq [15;5]
% 2.42/2.66 % --res_forward_subs full
% 2.42/2.66 % --res_backward_subs full
% 2.42/2.66 % --res_forward_subs_resolution true
% 2.42/2.66 % --res_backward_subs_resolution true
% 2.42/2.66 % --res_orphan_elimination false
% 2.42/2.66 % --res_time_limit 1000.
% 2.42/2.66 % --res_out_proof true
% 2.42/2.66 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_267c2c.s
% 2.42/2.66 % --modulo true
% 2.42/2.66
% 2.42/2.66 % ------ Combination Options
% 2.42/2.66
% 2.42/2.66 % --comb_res_mult 1000
% 2.42/2.66 % --comb_inst_mult 300
% 2.42/2.66 % ------
% 2.42/2.66
% 2.42/2.66
% 2.42/2.66
% 2.42/2.66 % ------ Proving...
% 2.42/2.66 %
% 2.42/2.66
% 2.42/2.66
% 2.42/2.66 % ------ Statistics
% 2.42/2.66
% 2.42/2.66 % ------ General
% 2.42/2.66
% 2.42/2.66 % num_of_input_clauses: 329
% 2.42/2.66 % num_of_input_neg_conjectures: 7
% 2.42/2.66 % num_of_splits: 0
% 2.42/2.66 % num_of_split_atoms: 0
% 2.42/2.66 % num_of_sem_filtered_clauses: 0
% 2.42/2.66 % num_of_subtypes: 0
% 2.42/2.66 % monotx_restored_types: 0
% 2.42/2.66 % sat_num_of_epr_types: 0
% 2.42/2.66 % sat_num_of_non_cyclic_types: 0
% 2.42/2.66 % sat_guarded_non_collapsed_types: 0
% 2.42/2.66 % is_epr: 0
% 2.42/2.66 % is_horn: 0
% 2.42/2.66 % has_eq: 1
% 2.42/2.66 % num_pure_diseq_elim: 0
% 2.42/2.66 % simp_replaced_by: 0
% 2.42/2.66 % res_preprocessed: 14
% 2.42/2.66 % prep_upred: 0
% 2.42/2.66 % prep_unflattend: 0
% 2.42/2.66 % pred_elim_cands: 0
% 2.42/2.66 % pred_elim: 0
% 2.42/2.66 % pred_elim_cl: 0
% 2.42/2.66 % pred_elim_cycles: 0
% 2.42/2.66 % forced_gc_time: 0
% 2.42/2.66 % gc_basic_clause_elim: 0
% 2.42/2.66 % parsing_time: 0.011
% 2.42/2.66 % sem_filter_time: 0.
% 2.42/2.66 % pred_elim_time: 0.
% 2.42/2.66 % out_proof_time: 0.001
% 2.42/2.66 % monotx_time: 0.
% 2.42/2.66 % subtype_inf_time: 0.
% 2.42/2.66 % unif_index_cands_time: 0.026
% 2.42/2.66 % unif_index_add_time: 0.017
% 2.42/2.66 % total_time: 2.216
% 2.42/2.66 % num_of_symbols: 73
% 2.42/2.66 % num_of_terms: 27968
% 2.42/2.66
% 2.42/2.66 % ------ Propositional Solver
% 2.42/2.66
% 2.42/2.66 % prop_solver_calls: 8
% 2.42/2.66 % prop_fast_solver_calls: 21
% 2.42/2.66 % prop_num_of_clauses: 5387
% 2.42/2.66 % prop_preprocess_simplified: 7159
% 2.42/2.66 % prop_fo_subsumed: 0
% 2.42/2.66 % prop_solver_time: 0.001
% 2.42/2.66 % prop_fast_solver_time: 0.
% 2.42/2.66 % prop_unsat_core_time: 0.
% 2.42/2.66
% 2.42/2.66 % ------ QBF
% 2.42/2.66
% 2.42/2.66 % qbf_q_res: 0
% 2.42/2.66 % qbf_num_tautologies: 0
% 2.42/2.66 % qbf_prep_cycles: 0
% 2.42/2.66
% 2.42/2.66 % ------ BMC1
% 2.42/2.66
% 2.42/2.66 % bmc1_current_bound: -1
% 2.42/2.66 % bmc1_last_solved_bound: -1
% 2.42/2.66 % bmc1_unsat_core_size: -1
% 2.42/2.66 % bmc1_unsat_core_parents_size: -1
% 2.42/2.66 % bmc1_merge_next_fun: 0
% 2.42/2.66 % bmc1_unsat_core_clauses_time: 0.
% 2.42/2.66
% 2.42/2.66 % ------ Instantiation
% 2.42/2.66
% 2.42/2.66 % inst_num_of_clauses: 3687
% 2.42/2.66 % inst_num_in_passive: 1754
% 2.42/2.66 % inst_num_in_active: 1892
% 2.42/2.66 % inst_num_in_unprocessed: 11
% 2.42/2.66 % inst_num_of_loops: 2119
% 2.42/2.66 % inst_num_of_learning_restarts: 0
% 2.42/2.66 % inst_num_moves_active_passive: 197
% 2.42/2.66 % inst_lit_activity: 494
% 2.42/2.66 % inst_lit_activity_moves: 0
% 2.42/2.66 % inst_num_tautologies: 28
% 2.42/2.66 % inst_num_prop_implied: 0
% 2.42/2.66 % inst_num_existing_simplified: 0
% 2.42/2.66 % inst_num_eq_res_simplified: 0
% 2.42/2.66 % inst_num_child_elim: 0
% 2.42/2.66 % inst_num_of_dismatching_blockings: 2892
% 2.42/2.66 % inst_num_of_non_proper_insts: 5157
% 2.42/2.66 % inst_num_of_duplicates: 1644
% 2.42/2.66 % inst_inst_num_from_inst_to_res: 0
% 2.42/2.66 % inst_dismatching_checking_time: 0.01
% 2.42/2.66
% 2.42/2.66 % ------ Resolution
% 2.42/2.66
% 2.42/2.66 % res_num_of_clauses: 16361
% 2.42/2.66 % res_num_in_passive: 10254
% 2.42/2.66 % res_num_in_active: 5886
% 2.42/2.66 % res_num_of_loops: 8000
% 2.42/2.66 % res_forward_subset_subsumed: 25496
% 2.42/2.66 % res_backward_subset_subsumed: 1
% 2.42/2.66 % res_forward_subsumed: 2278
% 2.42/2.66 % res_backward_subsumed: 0
% 2.42/2.66 % res_forward_subsumption_resolution: 60
% 2.42/2.66 % res_backward_subsumption_resolution: 0
% 2.42/2.66 % res_clause_to_clause_subsumption: 73450
% 2.42/2.66 % res_orphan_elimination: 0
% 2.42/2.66 % res_tautology_del: 18
% 2.42/2.66 % res_num_eq_res_simplified: 0
% 2.42/2.66 % res_num_sel_changes: 0
% 2.42/2.66 % res_moves_from_active_to_pass: 0
% 2.42/2.66
% 2.42/2.66 % Status Unsatisfiable
% 2.42/2.66 % SZS status Theorem
% 2.42/2.66 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------